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3 years ago

Evaluate: [(40 + 5) − 32

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

(40 + 5) - 32 =
45 - 32 =
13 <== ur answer

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For which values of x is the expression undefined? x2 – 49 x2 – 16

Lyrx [107]

You meant to say x^2 - 49 and the second binomial is x^2 - 16.

x^2 - 49 = (x - 7) (x + 7).

Set each factor to 0 and solve for x individually.

x - 7 = 0

x = 7

x + 7 = 0

x = -7

Do the same for x^2 - 16.

Here is the set up:

x^2 - 16 = (x - 4) (x + 4).

Take it from here.

4 0

3 years ago

A sphere has a diameter of 24 units. What is its volume in cubic units?

DiKsa [7]

Hello!

The equation to find the volume of a sphere you use the equation

$\frac{4}{3} \pi r^{3}$

r is radius which is half the diameter

put in 3.14 for pi and 12 for r

$\frac{4}{3} *3.14* 11^{3}$

This gives us the answer of 7234.56 cubic units

Hope this helps!

4 0

3 years ago

Read 2 more answers

Given the center and radius of a circle, write the equation of the circle.

Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
Simplify: (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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3 years ago

A factory that makes granola bars uses 1⁄6 of a barrel of raisins in each batch. Yesterday, the factory used 5⁄6 of a barrel of

Luda [366]

Answer:

5 Batches.

Step-by-step explanation:

5*1/6 = 5/6

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4 years ago

Which set of shapes could be used to form a net for a square pyramid?

bulgar [2K]

Answer:

A.1 square and 4 triangles

Step-by-step explanation:

A pyramid has sides that are triangular faces and a base. In a square pyramid, the base is a square.

The net therefore has 1 Square and 4 Triangles.

A net is given in the attached diagram:

8 0

4 years ago