To solve this problem where we need to find the radius:
⇒ find the relationship between height, volume, and radius
⇒ only equation that involves all these quantities is
⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]
V: volume ⇒ 3014.4 cubic inchesr: length of radius h: length of height ⇒ 15 inches[tex]\pi[/tex] ≈ 3.14Let's set up our volume equation with known quantities
[tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]
*r cannot be negative thus r equals a positive 8
Thus the radius is 8.00 inches (rounded to the nearest hundredth)
Hope that helps!
Answer:
8.00 inches
Step-by-step explanation:
Given:
height = 15 inchesvolume = 3,014.4 cubic inchesTo find:
radiusCylinder’s Volume:
[tex]\displaystyle \large{V=\pi r^2 h}[/tex]Substitute given information in:
[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]
Solve for r by dividing both sides by 47.1:
[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]
However, radius is a scalar value so it cannot be negative - the radius is 8 inches
Since you want in nearest hundredth then the radius is 8.00 inches
Reread the problem described in Question 10.5 on page 191.What form should H0 and H1 take if the investigator is concerned only about salary discrimination against female members? If this hypothesis test supports the conclusion of salary discrimination against female members, a costly class-action suit will be initiated against American colleges and universities. Under these circumstances, do you recommend using the .05 or the .01 level of significance? Why?
The form that the null and alternative hypothesis should take if the investigator is concerned only about salary discrimination include U = $82000 and U < $82000.
How to explain the hypothesis?The alternative hypothesis is the claim of the test. Here, the investigator wants to test whether the average salary of females is less than $82500.
Assuming the hypothesis test supports the conclusion of salary discrimination against female members, the 0.01 level of significance will be recommended.
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I need help ya'll please:)
Answer:
Step-by-step explanation:
Please take a clearer picture couldnt read it well
7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x
7^-2 x 3^2 = 3 x 7^4x should be your equation.
Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 • 10^5I don't know if this is what you were looking for but I hope it helps.
What is the equation in slope-intercept form of the line that passes through the points (-20, 5) and (-10, 6)
Answer:
[tex]y=\frac{1}{10}x + 7[/tex]
Step-by-step explanation:
Hi there!
We are given the points (-20, 5) and (-10, 6)
We want to write the equation of the line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope, and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes
[tex]x_1=-20\\y_1=5\\x_2=-10\\y_2=6[/tex]
Substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{-10--20}[/tex]
Simplify
m=[tex]\frac{1}{-10+20}[/tex]
m=[tex]\frac{1}{10}[/tex]
The slope (m) of the line is 1/10
We can substitute this value into the formula y=mx+b
y = [tex]\frac{1}{10}x[/tex] + b
Now we need to solve for b
As the equation passes through the points (-20, 5) and (-10, 6), we can use either point to solve for b.
Taking (-20, 5) for instance:
Substitute -20 as x and 5 as y:
5=[tex]\frac{1}{10}(-20)[/tex] + b
Multiply
5=-2+b
Add 2 to both sides
7=b
Substitute 7 as b.
y=[tex]\frac{1}{10}x + 7[/tex]
Hope this helps!
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What is 3^8*3^3/3^2 simplified?
Answer:
6561*27/9
Step-by-step explanation:
3^8=6561
6561*27=177,147
177,147/9=19,683
NEED HELP WITH THIS MATH PROBLEM QUICK!!!
Answer:
[tex]\implies m\angle A =42\degree[/tex]
Step-by-step explanation:
Quadrilateral ABCD is inscribed in circle with center O.
-> Quadrilateral ABCD is cyclic.
Opposite angles of a cyclic quadrilateral are supplementay.
[tex]\implies m\angle B + m\angle D = 180\degree[/tex]
[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]
[tex]\implies (5x-5)\degree = 180\degree[/tex]
[tex]\implies 5x-5= 180[/tex]
[tex]\implies 5x= 185[/tex]
[tex]\implies x= \frac{185}{5}[/tex]
[tex]\implies x= 37[/tex]
[tex]\implies m\angle A =(x+5)\degree[/tex]
[tex]\implies m\angle A =(37+5)\degree[/tex]
[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]
URGENT HELP 20 points
Answer:
5 3/12 cm^2
Step-by-step explanation:
I just put it in the calculator.
The weight of a blue whale is about 250,000 pounds. Write this number in scientific notation
Answer:
250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing
Step-by-step explanation:
yes maybe no more options visit in the future please reply with your family
Please help........ i need help
Answer:
x = 30
Step-by-step explanation:
x/2 = 12 + 3
x = 2(12+3)
x = 30
What is 2 x 10/8 in simplest form 4 grade
The fraction is 5/2
The decimal is 2.5
What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer
Pi times radius squared times (height÷3)
if radius is 6 then 490.09
if radius is 13 then 1061.86
what is the percent increase from 18 to 26
Which equation can be used to determine the distance between the origin and (-2, -4)?
Find the secant of ZI.
H
80
89
39
Answer:
See below
Step-by-step explanation:
[tex] \sec \: I = \frac{HI}{IJ} \\ \\ \implies \: \sec \: I = \boxed{\frac{89}{39} }[/tex]
help pls
10 points
Brainleist
thanks
Answer: x=12
Step-by-step explanation:
The two angles provided are on a straight line
A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x
[tex]10x-20+6x+8=180[/tex]
Simplify
[tex]10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180[/tex]
Add 12 on both sides
[tex]16x-12=180\\16x-12+12=180+12\\16x=192[/tex]
Divide both sides by 16 to isolate x
[tex]16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12[/tex]
What is the amplitude of the function? Identify the amplitude of a periodic function from its graph. 4 3 2 1
The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function(refer to attached picture)
We know the amplitude of the function is given by:
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]
As we can see in the graph the maximum value is 0 and
the minimum value of a function is -4, thus the amplitude
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]
The amplitude of f = 2
Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
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PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answer:
Around x = 3 y = 6
Step-by-step explanation:
I'm not sure if you need to round to the nearest whole or hundreth or tenth
In each circle, find the value of x. Please help
Answer:
x = 47°
Step-by-step explanation:
First see that Angle W is 90°. Either because T is the center and LS is a diameter. Or because Arc LCS is 180° so Angle W is half that = 90°
Then, see Triangle WSL. The angles in a triangle add up to 180°
90° + x + x-4 = 180°
Subtract 90°
x + x - 4 = 90
Combine the x's
2x - 4 = 90
Add 4
2x = 94
Divide by 2.
x = 47
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the
container?
Enter your answer in the box.
The right answer would be 216
1) 6*6=36
2)36*6=216
A university class has 22 students: 3 are nursing majors, 9 are psychology majors, and 10 are business majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a nursing major and the second student is a business major?
Answer:
27/462
OR
.058
Step-by-step explanation:
the probability that the first student, selected at random, is a nursing student is 3/22.
the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.
the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.
Dempsey Railroad Co. is about to issue $400,000 of 10-year bonds paying an 11% interest rate, with interest payable annually. The discount rate for such securities is 10%. Click here to view the factor table. (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) How much can Dempsey expect to receive for the sale of these bonds? (Round answer to 0 decimal places, e.g. 2,525.) Dempsey can expect to receive
The amount Dempsey can expect to receive from the sale of the bonds is $424,578.27.
What is the amount Dempsey can expect to receive from the sale of the bonds ?The amount that would be recieved from the sale of the bond is the present value of the bond. Present value is the sum of discounted cash flows.
Present value can be determined using a financial calcualtor:
Cash flow each year from year 1 to 10 = 0.11 x 400,000 = 44000Cash flow in year 10 = $400,0000 I = 10%PV = $424,578.27
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Determine the number of solutions of each system of equations.
Answer:
no solutions
Step-by-step explanation:
x+y = 5
-2x-2y = 10
Multiply the first equation by 2
2x+2y =10
Add this to the second equation
2x+2y =10
-2x-2y =10
0 =20
This is not true so there are no solutions
what is the difference between 3/4 and 2 1/4
Answer:
3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.
50 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
The graph shows a wolf population which has been growing exponentially.
200
160
120
uonejndod yjom
80
40
5
years since population was measured
a. What was the population when it was first measured?
Type the answer in the box below.
b. By what factor did the population grow in the first year?
Type the answer in the box below.
PART A: 100 wolves population
PART B: 6/5
Answer:
Part A: 100 wolves population.
Part B:6/5
Step-by-step explanation:.
Identify the coefficient of 5r2
coefficient of 5r² is 5
hope it helps...!!!
the last answer is 35 I just could not fit it in the pic
Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter
Answer:
(4, -3)
Step-by-step explanation:
To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.
Landon and Colin bought 1/3 pound of strawberries. They are sharing the strawberries equally.
each person will receive ?
pound of strawberries.
Answer:
1/6
Step-by-step explanation:
1/3 divided by 2
Given: mMEJ=30°,
mMFJ= 50°
Find: mKL, mMJ
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
What is the Angles Intersecting Secants Theorem?When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 30°m∠MFJ = 50°m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
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