Answer:
see below
Step-by-step explanation:
You can determine the correct function by looking at the function and graph values at x = 1.
For some constant k, the function is ...
(g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x
For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...
(g·h)(1) = 6
-k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1
k = -2 . . . . . . . . . divide by -3
The function h(x) is ...
h(x) = -2x
what is 1/2*1^12 1/2
Answer: 0.5
Step-by-step explanation: I think that the answer.
What’s the correct answer for this?
Answer:
x = 12
Step-by-step explanation:
Since they are equidistant from the centre, they are equal in length i.e.
JK = LM
4x+37 = 5(x+5)
4x+37 = 5x+25
37-25 = 5x-4x
12 = x
OR
x = 12
the area of the base of a can is 45 square inches.its height is 12 inches.if 1/3 of the height is cut off,what will be the volume of the can?
Answer:
volume = 360 inches³
Step-by-step explanation:
The can itself is a cylinder. The volume of a cylinder can be calculated as follows
volume of a cylinder = πr²h
where
r = radius
h = height
1/3 of the height was cut off that means 1/3 × 12 = 4 inches of the height was cut off. The new height of the can will be 12 - 4 = 8 inches. Therefore,
volume = πr²h =
base area which is the area of a circle = πr² = 45 inches²
volume = 45 × 8
volume = 360 inches³
the mean for the scores 17,19,19,23,26
Answer:
the mean is 20.8.
Step-by-step explanation:
Add all the numbers to get 104. Then, divide it by how many score there were, 5. 104/4= 20.8
Solution,
Given data: 17,19,19,23,26
summationfX=104
N(total no.of items)=5
Now,
Mean=summation FX/N
=104/5
=20.8
hope it helps
Good luck on your assignment
What is the surface area of a triangular prism
Answer:
608 (D)
Step-by-step explanation:
To find the area of the prism, just add all the areas in the nets together.
The rectangle in the middle has an area of 192 because it is a 12x16 triangle so you multiply the sides.
Both the rectangles on the top and bottom have an area of 160 because they are both a 10x16. The total of the 2 rectangles would be 320 because 160+160=320.
The triangles on the right each have an area of 48 because the Base=12 and the Height= 8. The formula for finding the area of a triangle is 1/2(BH). 1/2(12*8)= 1/2(96)= 48. There are 2 triangles like this so the totla area of both triangles is 96.
To find the surface area, you just add them all up. 96+320+192= 608
Gina has completed her CAD drawing and wants to take a print out. What final step must she take before taking the print out?
A.
select the units for the measurements
B.
select the scale for the drawing
C.
select the color for the different parts of the drawing
D.
delete all the layers created and retain only the final layer
Answer:
It is B I think
Step-by-step explanation:
D is incorrect
Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 41% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 29 strikes. Find the following probabilities. a) 12 or fewer fish were caught.b) 5 or more fish were caught.c) between 5 and 12 fish were caught.
Answer:
a) 59.10% probability that 12 or fewer fish were caught.
b) 99.74% probability that 5 or more fish were caught.
c) 58.84% probability that between 5 and 12 fish were caught.
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
[tex]n = 29, p = 0.41[/tex]
So
[tex]\mu = E(X) = np = 29*0.41 = 11.89[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 2.6486[/tex]
Find the following probabilities.
a) 12 or fewer fish were caught.
Using continuity correction, this is [tex]P(X \leq 12 + 0.5) = P(X \leq 12.5)[/tex], which is the pvalue of Z when X = 12.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{12.5 - 11.89}{2.6486}[/tex]
[tex]Z = 0.23[/tex]
[tex]Z = 0.23[/tex] has a pvalue of 0.5910
59.10% probability that 12 or fewer fish were caught.
b) 5 or more fish were caught.
Using continuity correction, this is [tex]P(X \geq 5 - 0.5) = P(X \geq 4.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 4.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4.5 - 11.89}{2.6486}[/tex]
[tex]Z = -2.79[/tex]
[tex]Z = -2.79[/tex] has a pvalue of 0.0026
1 - 0.0026 = 0.9974
99.74% probability that 5 or more fish were caught.
c) between 5 and 12 fish were caught.
Using continuity correction, this is [tex]P(5 - 0.5 \leq X \leq 12 + 0.5) = P(4.5 \leq X \leq 12.5)[/tex], which is the pvalue of Z when X = 12.5 subtracted by the pvalue of Z when X = 4.5. So.
From a), when X = 12.5, Z has a pvalue of 0.5910
From b), when X = 4.5, Z has a pvalue of 0.0026.
So
0.5910 - 0.0026 = 0.5884
58.84% probability that between 5 and 12 fish were caught.
Ariana is going to invest in an account paying an interest rate of 3.4% compounded monthly. How much would Ariana need to invest, to the nearest dollar, for the value of the account to reach $9,200 in 14 years?
Answer:
Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.
After 14 years, the amount of money in Adrina's account is calculated by:
A = P x (1 + rate)^(time)
or
A = P x (1 + 3.4/12)^(14 x 12)
or
9200 = P x (1 + 3.4/12)^(14 x 12)
=> P = 9200/[(1 + 3.4/12)^(14 x 12)]
=> P = 5791.044$
Hope this helps!
:)
The value of the account to reach $9,200 in 14 years is $5,791.
Calculation of the value of the account:Since interest rate of 3.4% compounded monthly. And, the amount is $9,200 in 14 years
So, the value should be
[tex]A = P \times (1 + rate)^{(time)}\\\\A = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\9200 = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\ P = 9200\div [(1 + 3.4/12)^{(14 \times 12)]}[/tex]
P = $5791
hence, The value of the account to reach $9,200 in 14 years is $5,791.
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Which rays are part of line BE?
AC and
A and
A and A
A and A
Answer:
A and A that is the answer
HELP ASAP PLS! A random number generator is used to create a real number between 0 and 1, equally likely to fall anywhere in this interval of values. (For the instance, 0.3794259832... is a possible outcome). a. Sketch a curve of the probability distribution of this random variable, which is the continuous version of the uniform distribution. b. What is the mean of this probability distribution?
Answer:
a. Attached.
b. Mean = 0.5
Step-by-step explanation:
This random number generator con be modeled with an uniform continous random variable X that has values within 0 and 1, each with the same constant probability within this range.
The probability for the values within the interval [a,b] in a continous uniform distribution can be calculated as:
[tex]f(x)=\dfrac{1}{b-a}\;\;\;x\in[0; 1][/tex]
In this case, b=1 and a=0, so f(x)=1.
The sketched curve of the probability distribution of this random variable is attached.
The mean of this distribution can be calculated as the mean for any uniform distribution:
[tex]E(X)=\dfrac{a+b}{2}=\dfrac{0+1}{2}=0.5[/tex]
match each linear equation with the name of its form
Answer:
2x - 5y = 9 // standard form
y + 6 = -3 (x-1) // point slope form
y = -x + 8 // slope intercept form
Step-by-step explanation:
A friend gives you four baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 2x + 4 describes the number of cards, y, you have after x weeks.
Part 1 out of 3
Find and interpret the slope and the y−intercept of the line that represents this situation.
The slope is
, while the y−intercept is
. This equation represents starting with
cards and adding
cards each week.
Answer:
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
Step-by-step explanation:
Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4
Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:
m is the slopeb is the y-intercept.We have that:
Slope
Slope, m=2.
A slope of 2 indicates that you buy 2 cards per week.
The y-intercept
The y-intercept of the line, b=4.
This is the starting value. In this case, it represents the number of cards you were given by your friend.
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
Solve this equation for x: 2x^2 + 12x - 7 = 0
What is the first step to solve this equation?
-combine like terms
-factor the trinomial
-isolate the constant term by adding 7 to both sides
Answer:
x=0.5355 or x=-6.5355
First step is to: Isolate the constant term by adding 7 to both sides
Step-by-step explanation:
We want to solve this equation: [tex]2x^2 + 12x - 7 = 0[/tex]
On observation, the trinomial is not factorizable so we use the Completing the square method.
Step 1: Isolate the constant term by adding 7 to both sides
[tex]2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7[/tex]
Step 2: Divide the equation all through by the coefficient of [tex]x^2[/tex] which is 2.
[tex]x^2 + 6x=\frac{7}{2}[/tex]
Step 3: Divide the coefficient of x by 2, square it and add it to both sides.
Coefficient of x=6
Divided by 2=3
Square of 3=[tex]3^2[/tex]
Therefore, we have:
[tex]x^2 + 6x+3^2=\frac{7}{2}+3^2[/tex]
Step 4: Write the Left Hand side in the form [tex](x+k)^2[/tex]
[tex](x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\[/tex]
Step 5: Take the square root of both sides and solve for x
[tex]x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355[/tex]
Answer:
Step-by-step explanation:
Step 1: Isolate the constant term by adding 7 to both sides of the equation.
Step 2: Factor 2 from the binomial.
Step 3: 9
Step 3 b: 18
Step4: write the trinomial as the square root of a binomial.
Step 5: divide both sides of the equation by 2 Step
6: Apply the square root property of equality Step
7: subtract 3 from both sides of the equation.
two cars start at the same time, but travel In opposite direction. one car's average speed is 20 miles per hour. at the end of 4 hours, the two cars are 280 miles apart. find the average speed in mph of the car.
Answer: 50 MPH ON AVERAGE: ✌️
20 mph for four hours is 80 miles
200 miles divided by 4 hours is 50 mph
Answer:
50 mph :)
Step-by-step explanation:
20*4=80
280-80=200
200/4=50
answer 50 mph
You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1100 log-ons per month. When you lowered the price to $2.50, the demand increased to 1375 log-ons per month.
A) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee x.
B) Your Internet provider charges you a monthly fee of $30 to maintain your site. Express your monthly profit P as a function of the log-on fee x.
C) Determine the log-on fee you should charge to obtain the largest possible monthly profit. What is the largest possible monthly profit?
Answer:
A) The linear relation between price and demand is:
[tex]d=-550x+2750[/tex]
The revenue R is:
[tex]R=-550x^2+2750x[/tex]
B) The profit functionP is:
[tex]P=-550x^2+2750x-30[/tex]
C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.
Step-by-step explanation:
We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.
We have two points for this linear relationship:
At price x=3, the demand is d=1100.At price x=2.5, the demand is d=1375.We will model the relation:
[tex]d=mx+b[/tex]
We can calculate the slope m as:
[tex]m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550[/tex]
Then, replacing one point in the linear equation, we can calculate the intercept b:
[tex]d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750[/tex]
Then, the linear relation between demand and price is:
[tex]d=-550x+2750[/tex]
The revenue R can be expressed as the multiplication of the price and the demand:
[tex]R=x\cdot d=x(-550x+2750)=-550x^2+2750x[/tex]
If we have a fixed cost of $30 per month, the profit P is:
[tex]P=R-FC=-550x^2+2750x-30[/tex]
We can maximize the profit by deriving the profit function and making it equal to zero.
[tex]\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5[/tex]
This corresponds to a profit of:
[tex]P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5[/tex]
the word bombard means
Answer:
Bombard means to rush, to overtake
Step-by-step explanation:
hope this helped a little !
Answer:
Rush overtake
Step-by-step explanation:
What’s the correct answer for this?
。☆✼★ ━━━━━━━━━━━━━━ ☾
A tangent meets with the radius to form a right angle
Thus, we can use Pythagoras' theorem
b^2 = c^2 - a^2
Sub the values in:
b^2 = 5^2 - 3^2
b^2 = 16
Square root for the answer:
b = 4
Thus, the answer is option A.
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
。☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
option 1 is the answer
Step-by-step explanation:
IN A CIRCLE , THE TANGENT IS THE PERPENDICULAR TO THE RADIUS DRAWN TO THE POINT OF CONTACT
SO AC ⊥ BC
ie angle ACB= 90 degree
therefore in triangle ABC , ACB = 90 DEGREE
By applying pythagorus theorem ,
AB^2 = AC^2 + BC^2
5^2 = r^2 + 3^2
25 -9 = r^2
16 = r^2
r = square root o f 16
therefore r= 4
please mark me as the brainliest...
Suppose a food scientist wants to determine whether two experimental preservatives result in different mean shelf lives for bananas. He treats a simple random sample of 15 bananas with one of the preservatives. He then collects another simple random sample of 20 bananas and treats them with the other preservative. As the bananas age, the food scientist records the shelf life of all bananas in both samples. The food scientist does not know the population standard deviations. What test should the food scientist run in order to determine if the two experimental preservatives result in different mean shelf lives for bananas
Answer:
The two sample t-test
Step-by-step explanation:
The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.
With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.
Quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm. Which could be the side lengths of a dilation of HIJK with a scale factor of 1.5?
Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
The correct option is C.
Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix C. Group of answer choices A. -14 B. 14 C. -22 D. The determinant cannot be found for a matrix with these dimensions.
Answer: d) determinant cannot be found
Step-by-step explanation:
You can only find the determinant of a SQUARE matrix.
In other words, the dimensions must be 2 × 2 or 3 × 3 or ... n × n
The dimensions of the given matrix is 2 x 3, so the determinant cannot be calculated.
In a religious survey of southerners, it was found that 65% believe in angels. If you have a random sample of 8 southerners: What is the probability that at most 3 of the southerners believe in angels
Answer:
10.60%
Step-by-step explanation:
We have to solve the above we have to apply bimonial and add each one, like this:
p (x <= 3) = p (x = 0) + p (x = 1) + p (x = 2) + p (x = 3)
p (x <= 3) = 8C0 * (0.65) ^ 0 * (0.35) ^ 8 + 8C1 * (0.65) ^ 1 * (0.35) ^ 7 + 8C2 * (0.65) ^ 2 * (0.35) ^ 6 + 8C3 * (0.65) ^ 3 * (0.35) ^ 5
p (x <= 3) = 8! / (0! (8-0)!) * (0.65) ^ 0 * (0.35) ^ 8 + 8! / (1! (8-1)!) * (0.65 ) ^ 1 * (0.35) ^ 7 + 8! / (2! (8-2)!) * (0.65) ^ 2 * (0.35) ^ 6 + 8! / (3! (8-3)!) * (0.65) ^ 3 * (0.35) ^ 5
p (x <= 3) = 0.1060
therefore the probability is 10.60%
Answer:
The probability that at most 3 of the southerners believe in angels is 10.61%
Step-by-step explanation:
Given;
65% believe in angels = p
then, 35% will not believe in angel = q
total sample number, n = 8
The probability that at most 3 southerners believe in angels is calculated as;
= p( non believe in angel) or p( 1 southerner believes and 7 will not believe) or p( 2 southerner believe and 6 will not believe) or p( 3 southerner believe and 5 will not believe)
= 8C₀(0.65)⁰(0.35)⁸ + 8C₁(0.65)¹(0.35)⁷ + 8C₂(0.65)²(0.35)⁶ + 8C₃(0.65)³(0.35)⁵
= 1(1 x 0.000225) + 8(0.65 x 0.000643) + 28(0.4225 x 0.00184) + 56(0.2746 x 0.00525)
= 0.1061
= 10.61%
Therefore, the probability that at most 3 of the southerners believe in angels is 10.61%
I need help not good at graphs
Answer:
a, b
Step-by-step explanation:
a and b cause all the data are not in a form of a line
Express the complex number in trigonometric form.
-6 + 6\sqrt(3) i
Answer:
12(cos120°+isin120°)Step-by-step explanation:
The rectangular form of a complex number is expressed as z = x+iy
where the modulus |r| = [tex]\sqrt{x^{2}+y^{2}[/tex] and the argument [tex]\theta = tan^{-1}\frac{y}{x}[/tex]
In polar form, x = [tex]rcos\theta \ and\ y = rsin\theta[/tex]
[tex]z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)[/tex]
Given the complex number, [tex]z = -6+6\sqrt{3} i[/tex]. To express in trigonometric form, we need to get the modulus and argument of the complex number.
[tex]r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12[/tex]
For the argument;
[tex]\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3} \\\theta = -60^{0}[/tex]
Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,
[tex]\theta =180-60\\\theta = 120^{0}[/tex]
z = 12(cos120°+isin120°)
This gives the required expression.
Answer this correctly
Answer:
1385.622
Step-by-step explanation:
A=πr2=π·212≈1385.622
hope this helped
Use the set of data to calculate the measures that follow.
0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
Choose each correct measure.
Mean =
Median =
Range =
Interquartile range =
ASAP NEED HELP?
Answer:
cbda
Step-by-step explanation:
i need help quick! please!
Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there are nequals9 trials, each with probability of success (correct) given by pequals0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
P(x<4)= ???
Answer: the probability that the number x of correct answers is fewer than 4 is 0.61
Step-by-step explanation:
Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35
The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65
We want to determine P(x < 4)
n = number of trial = 9
x = 4
From the binomial distribution calculator,
P(x < 4) = 0.61
Marina had 24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%. If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?
Answer:
See below
Bold parts are important parts. They are the equations.
Marina had RM24,500 to invest.
If the amount of money in the 4% account was four times the amount of money in the 5.5% account.
" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."
"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"
a = 4b
Down is the equations.
let a = amt in the 4% acct
let b = amt in the 5.5% acct
let c = amt in the 6%
"Marina had RM 24,500 to invest."
a + b + c = 24500
Replace a with 4b in both equations, simplify
b = $2000 in the 5.5% investment
a = $8000 in the 4% acct
Hope this helps.
Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.
Since Marina had $ 24,500 to invest, and she divided the money into three different accounts, and at the end of the year, she had made $ 1,300 in interest, and the annual yield on each of the three accounts was 4%, 5.5%, and 6%, to determine, if the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account, the following calculation must be performed:
4000 x 0.04 + 1000 x 0.055 + 19500 x 0.06 = 1385 8000 x 0.04 + 2000 x 0.055 + 14500 x 0.06 = 1300
Therefore, Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.
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MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!!!!
Answer:
1.76
Step-by-step explanation:
The formula is l x w x h
2 x 2.2 x 0.2 = 0.88
The prisms are the same so
0.88 + 0.88 = 1.76
Chords XY and ZW intersect in a circle at P. If
XP = 7, PY=12, and WP= 14, find PZ.
Answer:
Length of segment PZ = 6 units
Step-by-step explanation:
As per theorem of intersecting chords in a circle ;
"Product of lengths of line segments on each chord are equal".
From the figure attached,
Chords XY and WZ are intersecting at point P in a circle.
By theorem; XP × PY = WP × PZ
7 × 12 = 14 × PZ
PZ = [tex]\frac{84}{14}[/tex]
PZ = 6 units
Therefore, length of the segment PZ = 6 units.
Find the slope of the line on the graph. Write your answer or a whole number, not a mixed number or decimal
Answer:
-3/2
Step-by-step explanation:
The slope can be found through the equation y2 - y1 / x2 - x1
Finding two points on this line is what we start by doing.
Two points on the line I see are (0,-4) and (2, -7)
Plugging this into the slope formula gives us -7 - (-4) / 2 - 0
Solving this gives us -3 / 2 as the slope.