Solve for v
3v-9=45
Simplify your answer as much as possible.

Answers

Answer 1

Answer:

v = 18

Step-by-step explanation:

3v-9=45

Add 9 to each side

3v-9+9=45+9

3v = 54

Divide each side by 3

3v/3 = 54/3

v =18

Answer 2

Answer:

Step-by-step explanation:


Related Questions

What’s the correct answer for this?

Answers

Answer:

Arc CR = 90 deg

=> angle CBR = 90 deg

=> angle CBV = 90 deg

=> 3x + 4 = 90

=> 3x = 86

=> x =~28.7 deg

=> Option A is correct

Hope this helps!

:)

Answer:

A: x = 28.7

Step-by-step explanation:

Since VR is the diameter and CB is bisecting it so arcVC= arcCR and

<CBV = <CBR

NOW

3x+4 = 90

3x = 90-4

3x = 86

Dividing both sides by 3

x ≈ 28.7

College Students and Drinking Habits: A public health official is studying differences in drinking habits among students at two different universities. They collect a random sample of students independently from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week. Sample Statistics:
size(n) Mean (X) SD(s)
sample1 40 6.9 2.3
sample 2 49 5.7 1.9
The official conducts a two -sample t-test to determine whether these data provide significant evidence that students at University 1 drink more than students at University 2. The test statistics is t=2.64 with a P-value 0.005. Which of the following is an appropriate conclusion?
A) The samples provide significant evidence that students at University 1 drink more than students at university 2.
B) The samples do not provide statistically significant evidence.
C) We ca not use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university.

Answers

Answer:

Option A

Step-by-step explanation:

From the outlined data, the p value calculated was given as 0.005 which is way less than 0.05, thus we will reject the null hypothesis that there is no difference in drinking habit among students at two different universities. We can then conclude that the samples provide significant evidence that students at University 1 drink more than students at university 2.

Why do we think 0! = 1?

Answers

[tex]4!=4\times3\times2\times1=24\\3!=3\times2\times1=6\\2!=2\times1\\1!=1\\0!=?[/tex]

Notice that when we go from 4! to 3! , we divide by 4.

(Because [tex]4!\div 4 = 4\times3\times2\times1\div4=3\times2\times1=3![/tex]  the 4's cancel)

And when we go from 3! to 2! , we divide by 3, and etc.

We can use this pattern to see why 0! = 1.

[tex]4!=4\times3\times2\times1=24\\3! = 4!\div4=24\div4=6\\2!=3!\div3=6\div3=2\\1!=2!\div2=2\div2=1\\0!=1!\div1=1\div1=1[/tex]

And so by following the pattern, we determine that 0! = 1

-------------------------------

Note:

There are no factorials of negative numbers, and we can use the pattern to show why:

[tex]0!=1\\-1!=0!\div0=1\div0=???!!??!?[/tex]

You can't divide a number by 0, therefore -1! doesn't exist, so -2! doesn't exist and so on. So you can't do the factorial of any negative number.

(Or at least there no real solutions to negative factorials)

------------------------

What three numbers add up to 57, with the first number being 12

Answers

The answer is 12, 15, 30

The answer is gonna be 12 , 15 , 30

A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 80 patients known to this type of cancer is screened using the new method and the method failed to detect the cancer in 8 patients. At the 5% level of significance, can the researchers conclude that the new method is better than the one currently in use? (Can they conclude that the new method fails to detect cancer in less than 15% of the patients who actually have the disease?)

Answers

Answer:

A technique presently used through docs to display screen ladies for breast most cancers fails to observe most cancers in 15% of the girls who without a doubt have the disease. A random pattern of eighty girls acknowledged to have breast most cancers are to be screened the use of a new technique that researchers suppose will be capable to realize most cancers greater accurately. At the 0.05 stage of significance, the researchers will be capable to conclude that the new approach is higher than the present day one if the fantastic.

Answer::: greater than 1.645

Determine where f(x) is discontinuous. Justify your answer.
f(x)=x^2+x-2/x-1

Answers

Answer:x=1

Step-by-step explanation:

Given

[tex]F(x)=\dfrac{x^2+x-2}{x-1}[/tex]

F(x) will be discontinuous at x=1 because value of f(x) is undefined at that point.

F(x) is defined for all values of x except at x=1

1. What shape of the distribution is best modeled by a normal curve? *

Answers

Answer:

A symmetric bell shape

Step-by-step explanation:

A normal curve has a symmetrical bell shaped curve, this can be seen when a histogram is constructed with values that are normally distributed, the resulting shape is symmetrical and has a bell shape.

Find the sum of the first 20 terms of the sequence -7, -3, 1,…

Answers

Answer:

620

Step-by-step explanation:

The formula to find the sum of the first n terms of an arithmetic sequence is n(a1 + aN)/2, where n is the number of terms,  aN is the last term and a1 is the first term. We do not know the last term, though, so we must find it. The equation for this is an=a1+(n−1)d, where d is the common difference and a1 is the first term, and n is the number of terms. Therefore, the last term, an is, -7+(19)4 = 69.

Finally, we plug it into the first formula, the formula to find the sum, and we get 20*(-7+69)/2, which gives us 620 as our final answer.



An airplane climbs at an angle of 2.7" from an altitude of 4500 ft to an altitude of 5600 ft. How far does the airplane travel as it climbs as

measured along the horizontal?

Answers

Answer:

  23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

  5600 ft -4500 ft = 1100 ft

and the angle relation is ...

  tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

   horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

  horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult. At one of the concerts, each adult brought 444 children with them, and 101010 children attended without an adult. The total ticket sales were \$1{,}730$1,730dollar sign, 1, comma, 730. Which of the following systems of equations can be solved to determine the number of children, ccc, and adults, aaa, who attended the concert?

Answers

Answer:

Step-by-step explanation:

Let c represent the number of children that attended the concert.

Let a represent the number of adults that attended the concert.

At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is

c = 4a + 10

Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that

5c + 8a = 1730

Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is

c = 4a + 10

5c + 8a = 1730

Answer:

c = 4a + 10

5c + 8a = 1730

Step-by-step explanation:

Rebecca made an equation that models the height of a tree since she moved in. The height of the tree, h=3t+40 where H=height (in feet) and t=years. How big was the height of the tree when she moved in?

Answers

Answer:

40 feet

Step-by-step explanation:

The number of years since she moved in when she just moved in is 0,

thus, t=0

So,

H=3*0+40

H=40 feet

The height of the tree when Rebecca just moved in was 40 feet

Suppose that the exam scores for students in a large university course are normally distributed with an unknown mean and standard deviation. The scores of 42 randomly sampled students in the course are used to estimate the mean of the population. What t-score should be used to find the 99% confidence interval for the population mean? df...4041424344t0.10…1.3031.3031.3021.3021.301t0.05…1.6841.6831.6821.6811.680t0.025…2.0212.0202.0182.0172.015t0.01…2.4232.4212.4182.4162.414t0.005…2.7042.7012.6982.6952.692 Use the portion of the table above or a calculator. If you use a calculator, round your answer to three decimal places.

Answers

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

[tex]df=n-1=42-1=41[/tex]

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners, 250 identified themselves as mid-level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 62% of non-manual wage earners preferred trucks, 54% of mid-level managers preferred trucks, and 26% of executives preferred trucks.
Construct a 95% confience interval for the percentage of executives that preferred trucks. ( I know for sure that the answer is +or- 6.82%, but I need to know how to get this.)

Answers

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347[/tex]

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328[/tex]

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

what’s the correct answer for this?

Answers

Answer:

  see below

Step-by-step explanation:

The probability a member is a girl is independent of the probability that a member plays sports if the fraction of members that are girls does not depend on whether the member plays sports or not.

That is, the fraction of members that are girls will be the same for sports players and non-sports players.

_____

Examples

(a) Suppose we have a membership that consists of ...

1 girl and 1 boy who play sports (as many girls as boys), and 1 girl who does not play sports.

We want to see if p(g) and p(s) are independent, so we compute p(g) and p(g|s).

  p(g) = 2/(2+1) = 2/3

  p(g|s) = p(g&s)/p(s) = (1/3)/(2/3) = 1/2 . . . . not independent

__

(b) Suppose we have a membership that consists of ...

1 girl and 1 boy who play sports, and 2 girls and 2 boys who don't play sports (girls are half the members who play, and half the members who don't play).

  p(g) = 3/6 = 1/2

  p(g|s) = p(g&s)/p(s) = (2/6)/(4/6) = 2/4 = 1/2 . . . . independent

__

(c) Suppose we have a membership that consists of ...

2 girls and 1 boy who play sports, and 2 boys and 1 girl who do not play sports (fraction of girl players = fraction of boy non-players)

  p(g) = 3/6 = 1/2

  p(g|s) = p(g&s)/p(s) = (2/6)/(3/6) = 2/3 . . . . not independent

__

(d) Suppose we have a membership that consists of ...

  1 girl and 1 boy who play sports, and 1 girl who does not play sports (as many girls play as do not)

  p(g) = 2/3

  p(g|s) = p(g&s)/p(s) = (1/6)/(2/6) = 1/2 . . . . not independent

__

These examples match our selection of the 2nd choice as being the one that demonstrates independence.

Find g(1) if g(x) = x 2 + 1

Answers

Answer:

2

Step-by-step explanation:

g(1) = 1² + 1 = 2

Step-by-step explanation:

it is 2

A street is 149m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.7m in diameter. How many times does a tire have to turn in traveling the length of the street

Answers

Answer:

Approximately 28 times

Step-by-step explanation:

The tires are circular in shape.

We first need to find the circumference of the tire and then divide the length of the road by that circumference.

The circumference of a circle is given as:

C = πD

where D = diameter

The diameter of the tires is 1.7 m. Its circumference is therefore:

C = π * 1.7 = 5.34 m

Therefore, the number of times that the tire has to turn in traveling the length of the street is:

149 / 5.34 = 27.9 ≅ 28

You can afford a $850 per month mortgage payment. You've found a 30 year loan at 8% interest.

a) How big of a loan can you afford?

$
Incorrect

b) How much total money will you pay the loan company?

$
Incorrect

c) How much of that money is interest?

$
Incorrect

Answers

Answer:

  a) $115,840.97

  b) $306,000

  c) $190,159.03

Step-by-step explanation:

Loan payment calculations can be done using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the loan duration in years.

a) Loan amount

The principal amount of the loan can be found by filling in the given values and solving for P.

  850 = P(0.08/12)/(1 -(1 +0.08/12)^(-12·30))

  P = 850(1 -1.0066667^-360)/0.0066667 ≈ 850×136.283494

  P = 115,840.97

You could afford a loan of $115,840.97.

b) Total paid

The total amount paid is the sum of 360 payments of $850 each:

  360 × $850 = $306,000

You will pay $306,000 to the loan company.

c) Interest

The amount of interest is the difference between the amount paid and the amount borrowed:

  $306,000 -115,840.97 = $190,159.03

$190,159.03 of the amount paid is interest.

__

Additional comment

A variety of apps, calculators, and spreadsheets can do these calculations for you. The result from one of these calculators is attached. The PV is the Present Value of the series of 360 payments of $850 each. It is the loan amount.

Express 1400 as a product of its prime factors in index form

Answers

Answer:

[tex]2^3 X5^2 X7[/tex]

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

[tex]1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\$Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7[/tex]

Please answer this correctly

Answers

Answer:

17.7

Step-by-step explanation:

62.3-7=55.3

55.3-19.9=35.4

35.4/2 = 17.7

brainliest pzz

Answer:

The value of s is 17.7mm.

Step-by-step explanation:

Given that perimeter of a shape happens when all sides are add up together. So for this question :

[tex]perimeter = 7 + 19.9 + s + s[/tex]

[tex]perimeter = 26.9 + 2s[/tex]

Let perimeter = 62.3mm,

[tex]62.3 = 26.9 + 2s[/tex]

[tex]2s = 62.3 - 26.9[/tex]

[tex]2s = 35.4[/tex]

[tex]s = 35.4 \div 2[/tex]

[tex]s = 17.7mm[/tex]

Please answer this correctly

Answers

Answer:

[tex]10.71 yd[/tex]

Step-by-step explanation:

First let's find the radius of the quarter circle.

[tex]area =\frac{1}{4} \pi {r}^{2} \\ 7.065 = \frac{1}{4} *3.14 {r}^{2} \\ \frac{7.065}{3.14} = \frac{1}{4} * \frac{3.14 {r}^{2} }{3.14} \\ 9 = {r}^{2} \\ \sqrt{9} = r \\ 3 yd= r[/tex]

Now let's find the arc length of this quarter circle.

[tex] \frac{90}{360} \times 2\pi \: r \\ \frac{1}{4} \times 2 \times 3.14 \times 3 \\ = \frac{9.42}{4} \\ = 4.71yd \\ [/tex]

Now let's find the perimeter[tex]perimeter \\ = arc \: \: length + radius + radius \\ = 4.71 + 3 + 3 \\ = 10.71yd[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

10.71 yd

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

The formula of an area of a quarter circle:

[tex]A=\dfrac{1}{4}\pi r^2[/tex]

We have the area of a quarter circle:

[tex]A=7.065\ yd^2[/tex]

Substitute to the formula and solve for r :

[tex]\dfrac{1}{4}\pi r^2=7.065[/tex]     multiply both sides by 4

[tex]4\cdot\dfrac{1}{4}\pi r^2=7.065\cdot4\\\\\pi r^2=28.26[/tex]

Use 3.14 for π

[tex]3.14r^2=28.26[/tex]            divide both sides by 3.14

[tex]\dfrac{3.14r^2}{3.14}=\dfrac{28.26}{3.14}\\\\r^2=9\to r=\sqrt9\\\\\boxed{r=3\ yd}[/tex]

The circumference of this figure consists of an arc (quarter of a cirumference of a circle) and two radiuses.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

The formula of a quarter of a cicrumference of a circle:

[tex]L=\dfrac{1}{4}\cdot2\pi r[/tex]

Substitute

[tex]L=\dfrac{1}{4}\cdot2\pi\cdot3=1.5\pi[/tex]

Use 3.14 for π

[tex]L=1.5(3.14)=4.71\ yd[/tex]

The perimeter of a quarter circle:

[tex]P=4.71+2(3)=4.71+6=10.71\ yd[/tex]

Simplify the following expression. −3√84x3

Answers

Answer:

-18root7

Step-by-step explanation:

-3root 84*3

-3root4*7*3*3

-3(2*3)root7

-18root7

A marketing study conducts 60 significance tests about means and proportions for several groups. Of​ them, 3 tests are statistically significant at the 0.05 level. The​ study's final report stresses only the tests with significant​ results, not mentioning the other 57 tests. What is misleading about​ this?

Answers

Answer:

hello your question lacks the required options attached is a picture of the complete question

One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

Step-by-step explanation:

What is misleading about this is the study's final report because this marketing study was carried out with a level of significance of 5% (0.05) which means that if we carry the same study with varying sample data we will mostly like arrive at a conclusion against our null conclusion 5% of the time and this is not good for the the study because it is a type 1  error and has to be eliminated and it cannot be eliminated totally .

hence  One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

We are told that the marketing study conducts 60 tests and that 3 tests are statistically significant at the 0.05 level, in addition to this the study's final report emphasizes only the tests with significant results without mentioning the other 57 tests.

We can interpret it as follows:

By the 0.05 level, we mean that 5% of the tests are significant by chance when the null hypothesis is true.

Here 5% of the 60.

60 * 0.05 = 3

Therefore it only mentions 3 tests and does not mention the other 57 tests, which in itself is misleading because all 60 tests should be fully mentioned in the final report.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2. Express delivery service 1 has a record of 3.0% of packages being delivered late and express delivery service 2 has a record of 2.0% of packages being delivered late. A package was delivered late. What is the probability that a late package was delivered by express delivery service 2

Answers

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So [tex]P(B) = 0.65[/tex]

Service 2 has a record of 2.0% of packages being delivered late.

This means that [tex]P(A|B) = 0.02[/tex]

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

[tex]P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235[/tex]

What is the probability that a late package was delivered by express delivery service 2

[tex]P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532[/tex]

55.32% probability that a late package was delivered by express delivery service 2

The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per subscriber would increase by 1¢ for each additional subscriber over the current 3,000. How many subscribers are needed to bring a total profit of $113,100?

Answers

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

Using quadratic formula, we can solve this equation as:

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

I am completely stumped...

Answers

Answer:

x=25[tex]\sqrt{2}[/tex]

Step-by-step explanation:

the hypotenuse is equal to a leg times the square root of 2. which means to find the leg with the hyp given. you take [tex]\frac{50}{\sqrt{2} }[/tex] which then translates to 50 root 2/2=x  therefore 25[tex]\sqrt{2}[/tex]

matatila female drink 1/2 litres of milk every day during this month of September how many litres is this all together​

Answers

Answer:

  15 litres

Step-by-step explanation:

  (1/2 litre/day)(30 days) = 15 litres

__

Multiply rate by time to get quantity.

Kendra found this relationship between the quantities in the table.
1
3
4
2.
150
5
375
y
75
225
300
Multiply x by 7.5 to get y
Which error did Kendra make?
Kendra should have added 75 to the x-values to get the y-values
Kendra should have added 7.5 to the x-values to get the y-values
Kendra should have multiplied the x-values by 75 to get the y-values
Kendra should have multiplied the x-values by 25 to get the y-values
HELP IM TIMED

Answers

Answer:

Kendra should have multiplied the x-values by 75 to get the y-values

Step-by-step explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values

will give brainliest ​

Answers

Answer:

About 8.2 cm

Step-by-step explanation:

Assuming that a is one of the legs of this right triangle, then using the Pythagorean Theorem:

[tex]a=\sqrt{15.3^2-12.9^2}\approx 8.2[/tex]

Hope this helps!

A regular hexagonal prism has sides of 4 cm for the hexagonal bases and is 10 cm in height. Find its exact

volume. Then, quickly find the exact volume of a regular hexagonal pyramid inscribed in the prism. If you

don’t have a 3 in your answers, something’s gone wrong.

Answers

Answer:

Exact volume of the hexagonal prism = 240√3 cm³

Exact volume of the hexagonal pyramid = 80√3 cm³

Step by step explanation:

Volume of hexagonal prism = [(3√3)/2]×a²h

Where a = base edge

h = height

From the question,

a = 4cm, h = 10cm

V = [(3√3)/2]×(4)²×(10)

V = (3√3) × 160/2

V = 240√3 cm³

Exact volume of the hexagonal prism = 240√3 cm³

Volume of hexagonal pyramid = [(√3)/2]×a²h

a = 4cm, h = 10cm

V =  [(√3)/2]×(4)²×(10)

V = (√3) × 160/2

V = 80√3 cm³

Exact volume of the hexagonal pyramid = 80√3 cm³

NEED HELP FAST!The weather report says the temperature is 20°C and will drop 5°C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10°C, should Daryl move his plant to a warmer location before leaving?


An inequality to model the problem is .

The solution is .

Answers

Answer:

no he should be fine it will be -10C when he gets back

Step-by-step explanation:

Answer:

The weather report says the temperature is 20°C and will drop 5°C per hour for the next 6 hours. Daryl plans to be gone for at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above –10°C, should Daryl move his plant to a warmer location before leaving?

An inequality to model the problem is  

✔ 20 - 5x > -10

.

The solution is  

✔ x < 6

.

Step-by-step explanation: no one could answer this write so here.

Other Questions
Lets consider tunneling of an electron outside of a potential well. The formula for the transmission coefficient is T \simeq e^{-2CL}Te 2CL , where L is the width of the barrier and C is a term that includes the particle energy and barrier height. If the tunneling coefficient is found to be T = 0.050T=0.050 for a given value of LL, for what new value of L\text{'}L is the tunneling coefficient T\text{'} = 0.025T=0.025 ? (All other parameters remain unchanged.) Express L\text{'}L in terms of the original LL. Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6. Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction Can someone help me with this homework? what causes the phase of the moon?A.The earth's shadow on the moon.B.How much of the sunlit side of the moon faces EarthC.Clouds blocking the moon's light. Which of these is most closely associated with healthy ways to protect your physical healtha) skipping a meal b)risk-taking c)wellness checks d)binge-eating A mixture of NO2 and N2O4 gas is at equilibrium in a closed container. These gases react with the equation 2NO2 N2O4. What will happen if the size of the container is increased? Determine the nature of the roots: 2x2 + 8x + 3 = 0 Assume that a $1,000,000 par value, semiannual coupon US Treasury note with three years to maturity has a coupon rate of 3%. The yield to maturity (YTM) of the bond is 7.70%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note: Why were freedmen eager to attend the schools created by freedmens Bureau during Reconstruction?A. Freedmen were paid to attend school during Reconstruction.B. College scholarships were provided to all students who attended schools during Reconstruction.C. Plantation owners used to provide schools for their slaves before emancipation.D. It had been illegal for slaves to read and write before emancipation. Use the horizontal number line to find the distance between -5 and 0.1-5 -4 -3 -2 -1 012 3 45The distance between -5 and O is someone suggested that everything to be sent to the base on moon must be sterilized so that no bacteria of any kind are present.Do you thing this is a good idea? Please answer this asap! 20 POINTS :D What does it mean the right to keep and bear arms? How did the U.S. support Great Britain in World War II prior to 1941? write the formula of loss where cost price(CP) andselling price(SP) are given Soil erosion is a process where the top soil layer is washed away because of the effects of water or wind. An agricultural area loses its topsoil because of excess flooding. What three actions can be taken to stop the erosion and conserve the fertility of the land? Non-living factors in an ecosystem arebioticabioticantibiotic 1.Different protists use cilia, _______, or pseudopodia to move.2.Green algae are closely related to plants, and _______ is what gives them their green color.3.Protists in the genus plasmodium must live in host cells and harm their host cells, providing an example of a _______ relationship.4..Why have scientists recently rejected classifying protists in their own kingdom?5..What are the three main ways that protists can move?6.The eukaryote that causes red tide is known as what?7.The organisms that push carbon to the bottom of the ocean are known as what? Why is this important to the ecosystem?8.How is the endosymbiotic theory used to support the emergence of Eukaryota? If a female who is a carrier for colorblindness carries a man who is color blind. What is the percent chance their daughter will be colorblind. Soap Company manufactures soap X and soap Y and can sell all it can make of either. Hours available to produce the products are the constrained resources. Based on the following data, if Soap could reduce the processing time for X by 10 percent, which of the following statements is true? X YSales Price $20 $25Variable Cost 14 15Hours needed to process 3 5A. It would take 162 minutes to process one unit of X.B. There would be no difference in the contribution margin per hour as compared to it before the processing time reduction.C. The contribution margin per hour for X would be $2.D. Soap Y would still be the most profitable.