As an example, 15,000 Men 18-34 watched program X at 7-8 pm on Monday night. 32,000 Men 18-34 had their TV on during the same time period. There are 200,000 Men 18-34 in the television households in the market. What would be the rating for Men 18-34 for program X? Group of answer choices 47 rating points 7.5 rating points 16 rating points 23.5 rating points

Answers

Answer 1

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

\(= \frac{X}{Y}\)

\(= \frac{15,000}{200,000}\)

= 7.5 rating points

We simply applied the above formula


Related Questions

solve for x: 5x+3+8x-4=90

Answers

Answer:

\(x = 7\)

Step-by-step explanation:

We can solve the equation \(5x+3+8x-4=90\) by isolating the variable x on one side. To do this, we must simplify the equation.

\(5x+3+8x-4=90\)

Combine like terms:

\(13x - 1 = 90\)

Add 1 to both sides:

\(13x = 91\)

Divide both sides by 13:

\(x = 7\)

Hope this helped!

Answer:

x = 7

Step-by-step exxplanation:

5x + 3 + 8x - 4 = 90

5x + 8x = 90 - 3 + 4

13x = 91

x = 91/13

x = 7

probe:

5*7 + 3 + 8*7 - 4 = 90

35 + 3 + 56 - 4 = 90

Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.

1. 89 000, 100 000, 55 000, 67 000-

2. 12 345, 23 456, 34 567, 45 678-

3. 98 765, 87 654, 76 543, 65 432-​

Answers

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-

the respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes

Answers

The standard deviation of the response time is 1.53 minutes.

What is the standard deviation of the response time?

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Referring to a line segment with endpoints A and B, what does it mean to refer to AB with no line over it?

Answers

Answer:  length of AB

Step-by-step explanation:

\(\overline{AB}\) represents the line segment from point A to point B

\(\overrightarrow{AB}\) represents ray from point A to infinity through point B

AB represents the length of the line segment from point A to point B.

Just an Average Rate of Change problem im needing help with

Just an Average Rate of Change problem im needing help with

Answers

We going to use the AROC formula

\(\frac{f(b)-f(a)}{b-a}\)

Being a=-2 and b=-4

Let's find the numerator

\(\begin{gathered} f(b)=-3\left(-4\right)^3+12(-4)-21 \\ f(b)=123 \end{gathered}\)\(\begin{gathered} f(a)=-3\left(-2\right)^3+12(-2)-21 \\ f(a)=-21 \end{gathered}\)

Replacing

\(\frac{123-(-21)}{-4-(-2)}=-\frac{144}{2}=-72\)

Answer: -72

Which property is illustrated by the following statement? 6 + (x + 8) = ( 6 + x) + 8 Commutative Property of Addition Associative Property of Addition Commutative Property of Multiplication Inverse Property of Addition

Answers

Answer:

Commutative Property of Multiplication, I believe. Hope this helps!

Step-by-step explanation:

Answer:

Associative Property of Addition

Determine the equation of the circle graphed below.
Does anyone know the answer??

Determine the equation of the circle graphed below.Does anyone know the answer??

Answers

Answer:

(x - 2)² + (y - 3)² = 2²

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center = (2, 3)

r is the radius = 2

(x - 2)² + (y - 3)² = 2²

Find the original slope of (-6,-1) and (0,3)

Answers

The original slope would be -2/3

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

What order is
5/6 feet long 5/3 feet long 3/2 feet long

Answers

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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What percent of 88 is 36.96?

Please include how you got that answer. Thank you! <3

Answers

32.5248 is what I got I hope this helps

PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!

The perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Find the width of the rectangle.

12.675 meters

25.35 meters

12.1 meters

24.2 meters

Answers

Answer:

12.1 meters. Hope this helped, would love brainliest!

Step-by-step explanation:

For this question we will have to try each option.

12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.

25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.

12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!

we do not have to do the last one

What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x

What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x

Answers

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x

What is the equation of the line shown in this graph?

What is the equation of the line shown in this graph?

Answers

Answer:

y = 1

Step-by-step explanation:

help please & thank u love u

help please &amp; thank u love u

Answers

He is wrong it is not a proportional graph.
Because the ratio between x increase and y increase stay the same in a proportional graph and the line is straight

6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.

Answers

1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)

2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)

3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)

4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)

5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)

6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)

7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)

8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)

9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)

10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)

11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)

12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)

13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)

14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)

Here are the journal entries for the given transactions:

1. Bricks and timber purchased for construction:

Debit: Bricks (Asset) - Rs 60,000

Debit: Timber (Asset) - Rs 35,000

Credit: Bank (Liability) - Rs 95,000

2. Transfer to fixed deposit account:

Debit: Fixed Deposit (Asset) - Rs 13,000

Credit: Current Account (Asset) - Rs 13,000

3. Appointment of Mr. S.N. Rao as Accountant:

Debit: Salary Expense (Expense) - Rs 300

Debit: Security Deposit (Asset) - Rs 1,000

Credit: Accountant (Liability) - Rs 300

4. Goods sold to Shruti:

Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000

Credit: Sales (Income) - Rs 80,000

5. Goods purchased from Richa:

Debit: Purchases (Expense) - Rs 60,000

Credit: Accounts Payable - Richa (Liability) - Rs 60,000

6. Goods sold to Shilpa:

Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000

Credit: Sales (Income) - Rs 50,000

7. Goods sold to Garima:

Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000

Credit: Sales (Income) - Rs 1,00,000

8.Purchase of land:

Debit: Land (Asset) - Rs 2,00,000

Debit: Brokerage Expense (Expense) - Rs 2,000

Debit: Registration Charges (Expense) - Rs 15,000

Credit: Bank (Liability) - Rs 2,17,000

9. Goods and cash taken away by proprietor:

Debit: Proprietor's Drawings (Equity) - Rs 65,000

Credit: Goods (Asset) - Rs 25,000

Credit: Cash (Asset) - Rs 40,000

10. Goods sold to Charu:

Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000

Credit: Sales (Income) - Rs 1,20,000

Credit: Cost of Goods Sold (Expense) - Rs 80,000

Credit: Profit on Sales (Income) - Rs 40,000

11. Rent paid for the building:

Debit: Rent Expense (Expense) - Rs 60,000

Credit: Bank (Liability) - Rs 60,000

12. Goods sold to Sunil:

Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000

Credit: Sales (Income) - Rs 24,000

Credit: Cost of Goods Sold (Expense) - Rs 20,000

Credit: Profit on Sales (Income) - Rs 4,000

13. Goods purchased from Nanda and supplied to Helen:

Debit: Purchases (Expense) - Rs 1,000

Debit: Accounts Payable - Nanda (Liability) - Rs 1,000

Credit: Accounts Receivable - Helen (Asset) - Rs 1,300

Credit: Sales (Income) - Rs 1,300

14. Goods received from Rohit and Sons and supplied to Madan:

Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)

Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700

Debit: Accounts Receivable - Madan (Asset) - Rs 3,000

Credit: Sales (Income) - Rs 3,000

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Find the measure of angel 1.

Find the measure of angel 1.

Answers

Answer:

Refer to the attachment and sorry for bad handwriting, it's 3:51 am here, In India

Find the measure of angel 1.

Record the information you found for steps 2 and 3 here. Make sure you discuss how the company got money to start the
business, employee data, and what products or services the company provides in comparison with what other similar
business plans are offering.
BIVE &

Answers

BIVE & is a company that provides a platform for businesses to connect with and engage with their customers.

What is the company about?

The company was founded in 2015 by two entrepreneurs, and it has since raised over $10 million in funding. BIVE & offers a variety of features that allow businesses to create and manage their own social media profiles, as well as to track and measure their social media engagement. The company also offers a variety of tools that allow businesses to create and manage their own email marketing campaigns.

BIVE &'s employee data is not publicly available. However, the company has stated that it has over 50 employees. BIVE &'s products and services are similar to those offered by other social media marketing platforms, such as Hootsuite and Buffer. However, BIVE &'s platform is designed specifically for businesses that want to connect with and engage with their customers on a social level.

BIVE &'s main source of revenue is from its subscription fees. The company offers a variety of subscription plans, starting at $29 per month. BIVE & also offers a free trial of its platform.

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How to solve this without calculator?
sin-1(2/3)

Answers

Answer:-0.560

Step-by-step explanation:


At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his
way he stopped for 10 minutes in Rowan for a coffee and then he popped in to see his friend in
Yewton. He arrived in Oakville at 16:25. Jimmy cycled at a steady speed of 24 km/h and his
average speed for the whole journey, including the stops, was 18 km/h.
For how long did Jimmy stop in Yewton?
А
40 minutes
B
45 minutes
C
55 minutes
D
60 minutes

Answers


t=45min
d=4km

45min/60min = 0.75 hours

v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.

Jimmy stopped in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville.

Let x be the total time Jimmy stops in Yewton:

Total time for the journey = 220 minutes (12:45 to 16:25)

As we know:

distance = speed×time

24(220 - 10 - x) = 18(220)

220 - 10 - x = 165

x = 210 - 165

x = 45 minutes

Thus, Jimmy stop in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.

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solve the system of equations y = 2x - 5; y = -2x + 3

Answers

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Which is the largest ratio?

5/36, 2:9, 3 to 18, 1:3

Answers

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

How the largest ratio is determined:

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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a library has 67,982 books. the children's section represents 1/3 of the total books. of the remaining books, 75% are fiction. how many books are in the non-fiction section?

Answers

Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

Please help for brainliest !!

Please help for brainliest !!

Answers

Answer:

i do bellieve it is c

Step-by-step explanation:

What is the volume of rectangular prism: The answer is B
Please help for brainliest !!

You and a friend go to Taco Bell for lunch.
You order four soft tacos and three burritos and
your total bill is $25. Your friend's bill is $22.00
for four soft tacos and two burritos. How much de
soft tacos cost? How much do burritos cost?
Create and solve a system that represents the
situation show your work

Answers

Answer:

$25 - $22 = $3

3b x $3 = $9

$25 - $9 = $16

$16 / 4st = $4

One soft taco (st) costs $4.

One burrito (b) costs $3.

Step-by-step explanation:

If you order 4 soft tacos and 3 burritos, and your friend orders 4 soft tacos and 2 burritos then the difference is in the burritos. $25 - $22= $3. One burrito would cost $3 then. So if you ordered 3 burritos (b) that would be 3b x $3 = $9. So then $25 - $9 = $16, you would have spent $16 on 4 soft tacos (st). So $16 / 4st  = $4. One soft taco would cost $4. Of course this is assuming there is no tax, and since no country in which state/province tax would be applied is mentioned, this would be a flat rate.

39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m

Answers

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $

Answers

The joint costs allocated to Product B is $240,000.

What is amount of joint costs allocated to Product B?

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3​

Answers

The volume of the cone is 13 cm³. option D

How to determine the volume

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

r is the radiusL is the slant height

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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John has $175 in $5 and $10 bills in his drawer. The number of
$5 bills is three times the number
of $10 bills. How many of each are
in the drawer?

Answers

Answer:

There are 21 five dollar bills and 7 ten dollar bills in the drawer.

Step-by-step explanation:

find the distance from point A(15,-21) to the line 5x + 2y = 4 . round your answer to the nearest tenth

Answers

We will find the distance from point A to the line as follows:

*First: We solve for 0 on the equation of the line, that is:

\(5x+2y=4\Rightarrow5x+2y-4=0\)

Now, we can see that the equation of the line has the form:

\(Ax+Bx+C=0\)

So, we use the following expression to determine the distance from the point to the line:

\(d=\frac{|Ax_1+By_1+C|}{\sqrt[]{A^2+B^2}}\)

Now, we replace the values and solve for d:

\(d=\frac{|(5)(15)+(4)(-21)+(-4)|}{\sqrt[]{5^2+2^2}}\Rightarrow d=\frac{|-13|}{\sqrt[]{29}}\)\(\Rightarrow d=\frac{13}{\sqrt[]{29}}\Rightarrow d\approx2.4\)

So, the distance from point (15, -21) to the line 5x + 2y = 4 is approximately 2.4 units.

2x + 4,x²-4 answer 7 class​

Answers

2
2(x+ 2x -2)
That’s the answe I think
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