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3 years ago

A dog walking service charges a $19 one-time fee, plus $40 per week. The

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Kevin's estimate is incorrect. When x=4, the value of y is $116, which is not close to

$180.

Step-by-step explanation:

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Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round

olga55 [171]

Answer:

3053.63

Step-by-step explanation:

Use the equation for sphere volume: $V=\frac{4}{3}\pi r^3$

Plug the values in and get $V=\frac{4}{3}\pi 9^3=3053.62805929$

≈ 3053.63

Note: exact value of pi used.

8 0

2 years ago

Read 2 more answers

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

Factor: x(3y-5)+3(3y-15)

alina1380 [7]

3xy-5x+9y-45

Step-by-step explanation:

Step by Step Solution

STEP1:STEP2:Pulling out like terms

2.1 Pull out like factors :

3y - 15 = 3 • (y - 5)

Equation at the end of step2: (x • (3y - 5)) + 9 • (y - 5) STEP3:Equation at the end of step 3 x • (3y - 5) + 9 • (y - 5) STEP4:Trying to factor a multi variable polynomial

4.1 Split 3xy-5x+9y-45

into two 2-term polynomials

-5x+3xy and +9y-45

This partition did not result in a factorization. We'll try another one:

3xy-5x and +9y-45

This partition did not result in a factorization. We'll try another one:

3xy+9y and -5x-45

This partition did not result in a factorization. We'll try another one:

3xy-45 and +9y-5x

This partition did not result in a factorization. We'll try another one:

-45+3xy and +9y-5x

This partition did not result in a factorization. We'll try

8 0

1 year ago

The table show the age in years of employees in a company

adelina 88 [10]

Answer:

A. 24 ≤ a < 26.

B. 22.5

Step-by-step explanation:

A. Determination of the modal class interval.

Mode is the class with the highest frequency.

From the table given above, the highest frequency is 8, therefore the class will the highest frequency is:

24 ≤ a < 26.

B. To obtain the mean, we must determine the class mark. This is illustrated below:

Class >>>>> class mark >>> frequency

18 – 19 >>>> 18.5 >>>>>>>>> 3

20 – 21 >>> 20.5 >>>>>>>> 2

22 – 23 >>> 22.5 >>>>>>>> 7

24 – 25 >>> 24.5 >>>>>>>> 8

26 >>>>>>>> 26 >>>>>>>>> 0

The mean is given by the summation of the product of the class mark and frequency divided by the total frequency. This is illustrated below:

Mean = [(18.5x3) + (20.5x2) + (22.5x7) + (24.5x8) + (26x0)] / (3+2+7+8+0)

Mean = (55.5 + 41 + 157.5 + 196 + 0)/20

Mean = 450/20

Mean = 22.5

Therefore, the mean age is 22.5

4 0

3 years ago

Read 2 more answers

Can someone please help me!

Alexeev081 [22]

Answer:

7)no

Step-by-step explanation:

When you plug in the numbers

3(2)-0=-6

6-0=6

6 does not = -6

5 0

3 years ago