Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21

Answer:

Step-by-step explanation:

You know that all of the angles of a triangle have to add to equal 180°.

Therefore, (3x)+(2x+20)+(4x-20)= 180°

If you combine like terms you get:

9x=180°

Divide both sides by 9 to get:

X=20

Answer:

$110

Step-by-step explanation:

=0.15(x-200)+20

=0.15(800-200)+20

=0.15(600)+20

=90+20

=$110 paid

Answer:

About 780 plants

Step-by-step explanation:

195 flowers*4 volenteers=780 plants

Answer:

The last one, −2.1−(5.9+3.7)

Step-by-step explanation:

−2.1+(−5.9)+(−3.7) = -2.1-5.9-3.7 = -11.7

the only expression that will come out as -11.7 is the last one

Answer:

The Answer is

-2.1 - (-5.9 + 3.7)

You can totally trust me!!!

Step-by-step explanation:

It's this because they both end up with the same answer and the other ones are like very wrong.

Answer: Kavitha is 18 and Lizzy is 27

Step-by-step explanation: 8 years ago, Kavitha was 10 and Lizzy was 19.

10 × 2 = 20

20 - 1 = 19

Kavitha is 9 years younger than Lizzy because 27 - 9 = 18

9514 1404 393

Answer:

  Kavitha is 19 and Lizzy is 28

Step-by-step explanation:

Let k and l represent the current ages of Kavitha and Lizzy.

  k = l -9 . . . . . Kavitha is 9 years younger

  l -8 = 2(k -8 -1) . . . . 8 years ago, Lizzy was 2 times as old as Kavitha was 9 years ago

  l -8 = 2(l -9 -9) . . . . substitute for k

  l -8 = 2l -36 . . . . . . eliminate parentheses

  28 = l . . . . . . . . . . . add 36 - l

  k = 28 -9 = 19

Kavitha is 19; Lizzy is 28.

Answer: Either 8 dimes and 6 nickles, or 4 quarters and 10 pennies. Both combinations add up to $1.10.

Have a nice day

The 14 coins can be:

- 8 dimes and 6 nickels

Or

- 10 pennies and 4 quarters

Given,

14 coins make up $1.10

We need to find what are the 14 coins.

We have,

100 pennies = $1

20 nickels = $1

10 dimes = $1

4 quarters = $1

Find the coins that are worth $1.10

We have

10 dimes = $1

So,

1 dime = $0.10

8 dimes = $0.80 _____(1)

20 nickels = $1

So,

1 nickels = $0.05

6 nickels = $0.30 _____(2)

100 pennies = $1

10 pennies = $0.1 _____(3)

4 quarters = $1 ______(4)

From (1) and (2)

8 dimes + 6 nickels = $0.80 + $0.30

14 coins = $1.10

From (3) and (4)

10 pennies + 4 quarters = $0.1 + $1

14 coins = $1.10

Thus the 14 coins can be:

- 8 dimes and 6 nickels

- 10 pennies and 4 quarters

Learn more about the types of coins that are worth $39.25 here:

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9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The two marked angles are corresponding angles, so have the same measure.

  6x -9 = 5x +10

  x = 19 . . . . . . . . . add 9-5x

Answer:

Explained below.

Step-by-step explanation:

The random variable X is defined as the number of stars in a given volume of space.

[tex]X\sim \text{Poisson}\ (\lambda=1)[/tex]

The probability mass function of X is:

[tex]p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}[/tex]

(7)

Compute the probability of exactly two stars in 16 cubic light-years as follows:

[tex]P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184[/tex]

(8)

Compute the probability of three or more stars in 16 cubic light-years as follows:

[tex]P(X\geq 3)=1-P(X<3)\\\\=1-P(X=0)-P(X=1)-P(X=2)\\\\=1-\sum\limits^{2}_{x=0}[\frac{e^{-1}\times 1^{x}}{x!}]\\\\=1-0.36788-0.36788-0.18394\\\\=0.0803[/tex]

(9)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.

(10)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in t cubic light years there will be, [t × (1/16)] stars.

Answer:

a) Mean is 12.9

b) Standard Error

i) n = 16, Standard Error = 1

The shape of the sampling distribution means is not normal

ii) n = 49 , Standard Error = 0.5714285714

The shape of the sampling distribution means is normal

iii) n = 121, Standard Error = 0.3636363636

The shape of the sampling distribution means is normal

c)Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Step-by-step explanation:

Central Limit Theorem states that

if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

a) 16 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√16

= 4/4

= 1

n < 30, hence, The shape of the sampling distribution means is not normal

b) 49 residents

= Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√49

= 4/7

= 0.5714285714

n > 30, hence, The shape of the sampling distribution means is normal

c) 121 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√121

= 4/11

= 0.3636363636

n > 30, hence, The shape of the sampling distribution means is normal

Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Our max here is at 1, and the minimum is at - 5

The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...

- 5 - (- 2) = - 5 + 2 = - 3

The amplitude is rather - 3.

f(x) = Acos(Bx + C) + D

Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift

f(x) = Acos(Bx + C) + D

f(x) = - 3cosx + (- 2)

f(x) = - 3cosx - 2

Answer:

y= - 3cosx - 2

Step-by-step explanation:

Just Answered on A P E X Practice Assignment

Answer:

2736 square feet

Step-by-step explanation:210 minus 18(9 times 2 )equals 192 then 192 divided by 4 (4 because 4 side )equals 48 (48 is the width) to get the length 48 plus 9 equals 57 (57 is the length) to  get the area multiply length times width so 57 times 48 equals 2736 square feet

Answer:

12 computers/1 day

Step-by-step explanation:

Take one of the day numbers and the output: 60/5=12 per day

Answer:

Part 1

1.) -105

2.) 120

3.) 15

4.) -200

5.) 40

6.) 16

7.) 240

Step-by-step explanation:

1.) Do 7 x 15, which is 105, then since 15 is a negative and 7 is positive, the product is negative.

2.) Do 5 x 24, which is 120, and sine both 5 and 24 are negative, they cancel each other out and the product is positive.

3.) Do 75 / 5, which is 15, and since both 75 and 5 are negative, they cancel each other out and the quotient is positive.

4.) Do 25 x 8, which is 200, and since 25 is negative and 8 is positive, the product is negative.

5.) Do 120 / 3, which is 40, and since both 120 and 3 are positive, the quotient stays positive.

6.) Do 80 / 5, which is 16, and since both 80 and 5 are negative, they cancel each other out and the quotient is positive.

7.) Do 16 x 15, which is 240, and since both 16 and 15 are negative, they cancel each other out and the product is positive.

Hope this helps <3

Answer:

yyeeeett

Step-by-step explanation:

just a guess y'know

Answer:

Step-by-step explanation:

Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.

HOPE THIS HELPS NYHEHEHEHEH

-Signed by The Great Papyrus Spagettitore

Answer:

Step-by-step explanation:

Simplifying

3x = 5 + 2(3 + 4x)

3x = 5 + (3 * 2 + 4x * 2)

3x = 5 + (6 + 8x)

Combine like terms: 5 + 6 = 11

3x = 11 + 8x

Solving

3x = 11 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x

-5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0

-5x = 11 + 0

-5x = 11

Divide each side by '-5'.

x = -2.2

Simplifying

x = -2.2

Answer:

x = -11/5

Step-by-step explanation:

3x = 5 + 2(3 + 4x)

~Distribute left side

3x = 5 + 6 + 8x

~Combine like terms on the left side

3x = 11 + 8x

~Subtract 8x to both sides

-5x = 11

~Divide -5 to both sides

x = -11/5

Best of Luck!

The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.

Perimeter of any figure is the total length of the surrounding of the figure or shape.

Given:

A unit on the grid = 10 yards

From the diagram given, the figure is surrounded by 32 units

Thus:

Perimeter of the garden = 32 units × 10 = 320 yards.

Learn more about perimeter on:

https://brainly.com/question/19819849

Answer:

No

Step-by-step explanation:

The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

Answer:

No

Step-by-step explanation:

It doesn't agree to Pythagoras Theoram.

But if they were the sqrt values, it would work.

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.

We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:

[tex]C+B+S=130000[/tex]

We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:

[tex]0.02C+0.029B+0.099S=8885[/tex]

Let's remove the decimals by multiplying everything by 1000. This yields:

[tex]20C+29B+99S=8885000[/tex]

Now, we know that $25000 more was invested in bonds than CDs. So:

[tex]B=25000+C[/tex]

We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:

[tex]20C+29(25000+C)+99S=8885000[/tex]

We want to isolate the C variable. Here, we removed the B but we still have an S.

So, to remove the S, we can go back to our first equation. We have:

[tex]C+B+S=13000[/tex]

Subtract C and B from both sides:

[tex]S=130000-C-B[/tex]

We can now substitute this for S:

[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]

We got a B again. But, we already know what B is. Substitute:

[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]

So, our equation is now in terms of C. Solve for C. Distribute on the far right:

[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]

Combine like terms:

[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]

Distributive Property:

[tex]20C+725000+29C+10395000-198C=8885000[/tex]

Combine like terms:

[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]

Add:

[tex]-149C+11120000=8885000[/tex]

Subtract 1112000 from both sides:

[tex]-149C=-2235000[/tex]

Divide both sides by -149:

[tex]C=15000[/tex]

So, a total of $15,000 was invested in CDs.

Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.

To find out how much was invested in stocks, we can use our first equation again:

[tex]C+B+S=130000[/tex]

Substitute 15000 for C and 40000 for B:

[tex]15000+40000+S=130000[/tex]

Add:

[tex]55000+S=130000[/tex]

Subtract 55000 from both sides:

[tex]S=\$75000[/tex]

So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.

And we're done!

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Given:

Expression is

[tex]3r^2-2r+4[/tex]

To prove:

If r is any rational number, then [tex]3r^2-2r+4[/tex] is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

[tex]3r^2-2r+4[/tex]

It can be written as

[tex]3(r\times r)-2r+4[/tex]

Now,

3, -2 and 4 are rational numbers by property 1.

[tex]r^2=r\times r[/tex] is rational by Property 3.

[tex]3r^2\text{ and }-2r[/tex] are rational by Property 3.

[tex]3r^2+(-2r)+4[/tex] is rational by property 2.

So, [tex]3r^2-2r+4[/tex] is rational.

Hence proved.

We want to prove that if r is rational, then:

[tex]3*r^2 - 2r + 4[/tex]  Is also rational.

The proof is below:

Remember that a rational number is any number that can be written as a quotient of two integer numbers.

Then we have:

[tex]r = \frac{a}{b}[/tex]

Where a and b are integers.

If we replace that in our equation, we get:

[tex]3*(\frac{a}{b}) ^2 - 2*(\frac{a}{b}) + 4\\\\\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}[/tex]

Note that if a is an integer, then 3*a^2 is also an integer.

If b is an integer, then b^2 is also an integer.

Now we can perform the sum of these fractions to get:

[tex]\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\\\\\frac{3a^2 - 2ab + 4b^2}{b^2}[/tex]

And because integers are closed under the addition, then the numerator of that fraction is also an integer, then we have that the given expression can be written as a quotient of two integers, thus, it is a rational number.

If you want to learn more, you can read:

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Answer

Can someone help

Step-by-step explanation:

Answer:

-4 and 10

Step-by-step explanation:

USE THE INFO BELOW TO SOLVE

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

need more help?

pics are below for more examples.

:)

Answer:

lemons is greater ratio

Step-by-step explanation:

cause the ratio is larger

lemons to water

5:2

2:1

simplify....

2.5:1

2:1

lemons is greater ratio

Answer:

Emma's recipe will be more "lemony"

Step-by-step explanation:

If you are to take Clair's recipe and multiply it x2 so that the common denominator (cups of water) is equal, it will show you that Emma's recipe has more lemons in it; therefore will be more "lemony"

Answer:

14 month

Step-by-step explanation:

Lets create equations for these two gyms. I believe this is an algebra 1 problem.

Community Gym: y=70x+50

Workout Gym: y=60x+190

Because both gyms are equal to y, we can set them together and solve for x.

70x+50=60x+190

10x=140

x=14

You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months

Therefore, after 14 months you will have paid the same amount for both gyms.

Answer:

x = 14 months, $1030

Step-by-step explanation:

The expressions are,

→ 70x + 50

→ 60x + 190

Forming the equation,

→ 70x + 50 = 60x + 190

Now required value of x will be,

→ 70x + 50 = 60x + 190

→ 70x - 60x = 190 - 50

→ 10x = 140

→ x = 140/10

→ [ x = 14 months]

The amount of money will be,

→ 70(14) + 50 = 60(14) + 190

→ 980 + 50 = 840 + 190

→ $1030 = $1030

Hence, it will take 14 months.

Answer:

Step-by-step explanation:

The billiard cue is 15 cm away from the table

The billiard cue touches the table at a point 60 cm off the ground

The slope is as per slope formula;

Thea answer is -4

Answer:

-4

Step-by-step explanation:

The foot of the billiard cue is 15 cm away from the table can be represented by the point (15, 0).

The top of the billiard cue touches the table at a point 60 cm off the ground can be represented by the point (0, 60)

The slope formula can be solve with the formula [ y2-y1/x2-x1 ]

60-0/0-15

60/-15

-4

Best of Luck!

Answer:

Value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)

Value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)

Step-by-step explanation:

7 in the middle of number [tex]0.777[/tex] is equal to [tex]\frac{7}{100}[/tex]

7 to the left of the middle 7 is equal to [tex]\frac{7}{10}[/tex]

So,

[tex]\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}[/tex]

That is value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)

Also,

7 to the right of the middle 7 is equal to [tex]\frac{7}{1000}[/tex]

So,

[tex]\frac{7}{100}=(10) \frac{7}{1000}[/tex]

That is value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)

Complete Question:

1. Classify the data of the heights of ladders produced by a tool company.

Group of answer choices :

Statistics

Qualitative

Classical

Quantitative

Answer:

The data of the heights of ladders produced by a tool company is:

Quantitative

Step-by-step explanation:

The heights of ladders are stated in numbers.  Quantitative data give information about quantities or numbers.  They can be measured with certainty.  They are not like qualitative data which are descriptive and cannot be easily measured unless classified in some ways.  Quantitative measurements associate measurement units to data, e.g. meters and feet. For example, the heights of persons, buildings, or things like ladders can be measured quantitatively in meters and feet.  Another feature of quantitative data is that arithmetic operations can be performed on the data.

Answer:

1 x 11

10 + 1

Step-by-step explanation:

Answer:

1,2,3,5

Step-by-step explanation: