All categories

3 years ago

What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3

Mathematics

2 answers:

Inga [223]3 years ago

5 0

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

jonny [76]3 years ago

4 0

Answer:

The answer to the equation is 48.

You might be interested in

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0

2 years ago

4x + 8y=20 3x+6y=15 solve this system of equations

laila [671]

4x=20-8y

x=5-2y now use this value of x in the second equation...

3(5-2y)+6y=15

15-6y+6y=15

15=15 This is true for any y or x value.

So there are infinitely many solutions as the two equations describe the same line.

5 0

3 years ago

Read 2 more answers

Name two special right triangles by their angle measures.

Mandarinka [93]

Answer:

right angle?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The GCF of the numbers in the expression (55 + 44) is _____. The numbers left inside the parentheses after factoring out the GCF

Alenkinab [10]

55=5*11
44=4*11
gcf=11

11(5)+11(4)=11(5+4)

the numbers inside are 5 and 4

The GCF of the numbers in the expression (55 + 44) is 11. The numbers left inside the parentheses after factoring out the GCF are 5 and 4.

8 0

3 years ago

Read 2 more answers

A palm tree is supported by two guy wires as shown in the diagram below.

garri49 [273]

Answer:

I think it's a or b the picture is fuzzy

8 0

3 years ago