Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

Answer:

could i have the website info  or the image clearer so i could try and help you

Step-by-step explanation:

Hi there!  

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I believe your answer is:

[tex]13x^8[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x^5 - 16x^2 + 13x^8[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

h= 24 inches

Step-by-step explanation:

(Volume)= (Base Area) * (Height)

6,912= 288h

h=

Answer:

Amount saved by making a cash payment is $24.6

Step-by-step explanation:

We start by calculating the amount to be paid if payment was by installments.

We are told that there would be a down payment of $25 and $15 every month for 12 months.

So total installment payment would be;

$25 + 12($15) = $25 + $180 = $205

Now let’s try and figure out the cash payment

For the cash payment, we have 12% less than installment payment.

Kindly note that 12% is same as 12/100 = 0.12

Thus, 12% less payment would be;

205-0.12(205) = 205 - 24.6 = $180.4

Thus, the amount saved if payment was cash would be;

$205 - $180.4 = $24.6

9x^2/3x

= 3x

...................

Answer:

3x

Step explanation:

[tex]\frac{9x^{2}}{3x}=\frac{3*3*x*x}{3*x}=3x[/tex]

9514 1404 393

Answer:

  D.) a+2b

Step-by-step explanation:

The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...

  A) 3(0) = 0 . . . even

  B) 1 +3 = 4 . . . even

  C) 2(1+0) = 2 . . . even

  D) 1 +2(0) = 1 . . . odd

_____

Additional comment

These rules apply to even/odd:

Then A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.

Answer:

[tex]l = 28[/tex]

Step-by-step explanation:

Given

[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]

Required

What is l when S = 725

This can be solved using Sum of n terms of an AP;

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where

[tex]S_n = 725[/tex]

[tex]T_1 = first\ term[/tex]

To get T1; we substitute 4 for k in 2k - 3

[tex]T_1 = 2 * 4 - 3[/tex]

[tex]T_1 = 8 - 3[/tex]

[tex]T_1 = 5[/tex]

[tex]T_n = last\ term[/tex]

To get Tn; we substitute l for k in 2k - 3

[tex]T_n = 2 * l - 3[/tex]

[tex]T_n = 2l - 3[/tex]

n = the number of terms;

Since k = 4 to l, then

[tex]n = l - 4 +1[/tex]

[tex]n = l - 3[/tex]

Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]

Collect Like Terms

[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]

[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]

Open the bracket

[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]

[tex]725 = (l-3) * l + (l-3)[/tex]

[tex]725 = l^2-3l + l-3[/tex]

[tex]725 = l^2-2l -3[/tex]

Subtract 725 from both sides

[tex]725 - 725 = l^2-2l -3 - 725[/tex]

[tex]l^2-2l -3 - 725 = 0[/tex]

[tex]l^2-2l - 728 = 0[/tex]

[tex]l^2 + 26l - 28l - 728 = 0[/tex]

[tex]l(l + 26) - 28(l + 26) = 0[/tex]

[tex](l - 28)(l + 26) = 0[/tex]

[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]

[tex]l = 28[/tex] or [tex]l = -26[/tex]

But l must be positive;

Hence, [tex]l = 28[/tex]

Answer:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Step-by-step explanation:

i google this l M A O

A rational function's domain includes all real numbers x except those with a denominator of zero.

A function assigns the value of each element of one set to the other specific element of another set.

A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.

Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]

[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]

[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]

[tex]\\ \sf\longmapsto 11r=15[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]

Answer: r = 15/11

Step-by-step explanation:

Given

16 - 2r = 3r + 6r + 1

Combine like terms

16 - 2r = 9r + 1

Add 2r on both sides

16 - 2r + 2r = 9r + 1 + 2r

16 = 11r + 1

Subtract 1 on both sides

16 - 1 = 11r + 1 - 1

15 = 11r

Divide 11 on both sides

15 / 11 = 11r / 11

[tex]\boxed{r=\frac{15}{11} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

================================================

Explanation:

R is between Q and S and on segment QS, allowing us to say

QR + RS = QS

because of the segment addition postulate.

-------

Use substitution and solve for QR

QR + RS = QS

QR + 11 = 19

QR = 19 - 11 .... subtracting 11 from both sides

QR = 8

It will take 3 months for both company's fees be the same

Let

y = total charges

x = number of months

Verizon:

y = 40 + 60x

T-Mobile:

y = 100 + 40x

Number of months it will take both companies to charge the same fee

Equate the total charges of both companies

40 + 60x = 100 + 40x

40 - 100 = 40x - 60x

-60 = - 20x

x = -60 / -20

x = 3 months

https://brainly.com/question/24374422

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.

Answer:

  a. almost 8 years

Step-by-step explanation:

Brenda's expected annual increase in salary is ...

  $63,292 -45,258 = $18,034

If we assume that Brenda's cost of education includes going without 2 years' salary as well as the cost of tuition, her degree's total cost will be ...

  2×$45,258 +15,000 = $105,516

__

Once Brenda starts earning again, she is recovering this cost at the rate of $18,034 per year, so it will take ...

  $105,516/($18,034 /yr) = 5.85 yr

to recover that cost.

Since Brenda spent 2 years in school, from the time she decides to start school until she has recovered her cost, it will be 2 + 5.85 = 7.85 years, almost 8 years.

_____

If Brenda can continue working while going to school, she can recover her tuition cost in about 10 months after graduation.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

25x(4x -10y + 3)

the solution is C. 25x

Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!

Answer:

a) 9r=63

b) 14 mi/h

Step-by-step explanation:

Let say r the speed of the slower cyclist,

2*r the speed of the faster cyclist,

they meet 3 hours later:

a)

(r+2*r)*3=63

3r*3=63

9r=63

r= 63/9

r=7 (mi/h)

b)

2r=14 (mi/h)

Answer:a

Step-by-step explanation:

Answer:

length = 100

width = 25

Step-by-step explanation:

Let L = length of red rectangle

Let H = height of red rectangle

Equation1:   L+H=125 : we know the perimeter is 250 so L+H is 125

Equation2:   L*H=2,500 : we know the area is 2,500

Equation3:   L=125-H : subtracted H from both sides of Equation1

Equation4:   (125-H)*H=2,500 : substituted "125-H" for L into Equation2

Solve equation4:

  (125-H)*H=2,500   multiple terms on left side of equation

  125H - H^2 = 2,500   rearrange into standard form

  H^2 - 125H + 2,500 = 0

At this point you can "brute force" the answer with the quadratic formula:

H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2

H = 100 or H = 25 : actually these are L and H

You could also factor the equation:

(H - 100) * (H - 25) = 0 : gives same answe

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

Answer:

x=36

Step-by-step explanation:

Answer: X=2

Step-by-step explanation: you want to distribute the 2 to the 3x and 4. That will give you 6x+8 now you want to subtract 8 from both sides. That will give you 6x=12 and you divide both sides by 6 and your final answer should be X=2. :)

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.

The correlation coefficient between the number of internet users and the award winners is,

r = 0.797.

(c)

The test statistic value is:

[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]

  [tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the p-value as follows:

[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]

*Use a t-table.

p-value = 0.057 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

Answer:

$72

Step-by-step explanation:

The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.

The cost of 3 pair of shoes

= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes

= $45 + $27

= $72

So, 3 pairs of shoes will cost $72 today.

Answer:

-1.6

Step-by-step explanation:

0 = 3x + 5

-3x = 5 /÷(-3)

x = -5 ÷ 3

x = -1.6 -5/3

Answer:

₦40.30

Step-by-step explanation:

Step 1: Find how much each person gets equally

Divide 142 by 3

[tex]142 \div 3\\\\= 47.3[/tex]

Each person's share is ₦47.3

Step 2: Find out how much Ore, Tobi, and Mary has

Subtract 11 from Ore's share

[tex]47.3 - 11\\\\= 36.3[/tex]

Add that 11 to Mary's share

[tex]11 + 47.3\\\\= 58.3[/tex]

Subtract 7 from Tobi's share

[tex]47.3 - 7\\\\= 40.3[/tex]

Add that 7 to Ore's now-share

[tex]36.3 +7\\\\=43.3[/tex]

Tobi's share is 40 naira and 30 kobo

Extra Info:

To see if it is correct, confirm the answer by adding all their shares.

Answer:

loss of work and deficiency in progress

disturbance in schedule

Answer:

Shortage of gas

interruption in water supply for households that access piped water from the local municipality

Loss of profit for businesses

Step-by-step explanation:

Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (16 + 10) = 4 × 26 = 104 ft²

Answer:

$23,302.50

Step-by-step explanation:

Answer:

D. She earns $580 and spends $422.

Step-by-step explanation:

The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.

First, add $580 to the $284 that she already has saved:

284 + 580

= $864

Then, subtract $422 from this:

864 - 422

= $442

So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.

The option that will let her buy the computer is D. She earns $580 and spends $422.