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2 years ago

What is the radius of a circle with a area of 112 square inches

Mathematics

1 answer:

Ugo [173]2 years ago

5 0

Answer:

$\displaystyle 5,9708213214...\:in.$

Step-by-step explanation:

$\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}$

I am joyous to assist you at any time.

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Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value. (f - g)(-3)

Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Substitute: (f - g)(x) = 4x - 2 - (x + 1)
Distribute -1: (f - g)(x) = 4x - 2 - x - 1
Combine like terms: (f - g)(x) = 3x - 3

Find (f - g)(3)

Substitute: (f - g)(3) = 3(3) - 3
Multiply: (f - g)(3) = 9 - 3
Subtract: (f - g)(3) = 6

8 0

3 years ago

Write the function for the graph

Kruka [31]

Answer:

Option A is correct.

The function for the given graph is;

$f(x)=2\cdot 4^x$

Step-by-step explanation:

An exponential function is in the form of $y =ab^x$ ......[1] where a is the initial value and b≠ 0 , b >1 .

Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

For A = (0,2)

$2 = ab^0$ = a

⇒ a = 2

and

for B = (1, 8)

$8 = ab^1$

$ab = 8$

Substitute the value of a=2 in above equation to solve for b;

2b = 8

divide both sides by 2 we get;

b = 4

Then, the function for the graph is, y= $f(x)=2\cdot 4^x$

3 0

3 years ago

Read 2 more answers

Someone help me with this.

Zolol [24]

Answer: it would be C

Step-by-step explanation: have a good day

4 0

3 years ago

Read 2 more answers

You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50. You leave a 15% tip. Your total bill is

lesantik [10]

Let us assume cost of one serving of pancakes = $x

So, the cost of two serving of pancakes = 2 times of x = $2x.

Given cost of the fruit cup = $1.50

Ordered two servings of pancakes and a fruit cup.

Total billed amount = $11.50.

We can setup an equation now,

Cost of two serving of pancakes + cost of the fruit cup + 15%tip = $11.50.

2x + 1.50 + 15% of (2x+1.50) = 11.50.

2x+1.50 + 0.15*(2x+1.50) =11.50

2x+1.50 +0.30x + 0.225 =11.50

Combining like terms

2.30x + 1.725 =11.50

Subtracting 1.725 from both sides

2.30x + 1.725-1.725 = 11.50-1.725

2.30x = 9.775

Dividing both sides by 2.30.

2.30x/2.30 = 9.775/2.30.

On simplifying we get,

x= 4.25.

Therefore, the cost of one serving of pancakes = $4.25.

5 0

3 years ago

the art teacher has 48 boxes of crayons there are 64 crayons in each box how many crayons dooess the art teaccher have

Rzqust [24]

48 boxes....64 crayons per box...

48 * 64 = 3072 crayons in total <==

3 0

3 years ago