All categories

3 years ago

Prove that the value of the expression : 38^9–38^8 is divisible by 37

Mathematics

1 answer:

xenn [34]3 years ago

6 0

$38^9-38^8 =38^8(38-1)=38^8\cdot37$

You might be interested in

Answer all 3 please will mark brainliest

denis-greek [22]

Answer:

1) 9450 = 21n

2) 9450/21 = 21/21n

450 = n

3) you can check the answer by multiplying 450 by 21

Step-by-step explanation:

hope this helped

let me know if I am incorrect

6 0

2 years ago

Read 2 more answers

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

Note: The radii and heights of similiar cylinders are in same ratio.

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

8 0

3 years ago

Gina can buy a 5-pound bag of apples that cost $4.50, or she can buy them by the pound for $0.85 or pound. Which of these best e

sweet-ann [11.9K]

It's "D", because when you divide 4.5/5 you get .90 per pound so buying per pound it less.

5 0

3 years ago

If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?

Artyom0805 [142]

Answer:

a different inverse function

Step-by-step explanation:

If $f^{-1}(x)=-\frac{1}{5}x$ then $f^{-1}(x)=\frac{1}{5}x$ is a different inverse function.

The second (inverse) function is the first reflected over the y-axis.

5 0

3 years ago

Read 2 more answers

The blue figure is a dilation of the black figure. the labeled point is the center of dilation. tell whether the dilation is an

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

8 0

3 years ago