Please help me with math work pol Mrs

vfiekz [6]

No, 4/5 does not equal to 5/10.

Because:- When you try to see if it is proportional, it does not equal it.

4/5 ≠ 5/10

Simplify to make sure.

4/5 ≠ 1/2

4/5 is NOT equal to 1/2.

Therefore, our final answer is that 4/5 does not equal 5/10.

4 0

3 years ago

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How do I multiply indices

Alexus [3.1K]

remember that when multiplying indices, you add the powers. When dividing indices, remember that you subtract the powers. When taking the power of a number which has already been raised to a power, you must multiply the values of these powers. Any value raised to the power of 0 is equal to 1.

8 0

3 years ago

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Rafael sold t-shirts and hats at a festival. He made a $3 profit for each t-shirt he sold. He also made a profit $45 from sellin

drek231 [11]

Answer:

16

Step-by-step explanation:

The total profit is $93

He made a $45 profit selling hats

The question says he only sold t-shirts and hats

Since we are solving for the amount of t-shirts sold we subtract $45 from $93 and get $48 dollars earned from t-shirts

He makes $3 per t-shirt

We divide the amount per t-shirt by the total t-shirt money earned

This looks like: 48/3

We get 16 as our answer

7 0

3 years ago

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Help me do this …math

Daniel [21]

Step-by-step explanation:

How to find inverse function:

Step 1: Write down equation.

$f(x) = 4 \sin(x) + 3$

Remeber Ruler notation that

f(x)=y so we replace y with f(x).

$y = 4 \sin(x) + 3$

Next, we must isolate x so first we subtract 3.

$y - 3 = 4 \sin(x)$

Divide both sides by 4.

$\frac{y - 3}{4} = \sin(x)$

$\sin {}^{ - 1} ( \frac{y - 3}{4} ) = \sin {}^{ - 1} ( \sin(x) )$

Remeber that sin^-1x and sin x are inverse functions so they will cancel out to x. So we get

$\sin {}^{ - 1} ( \frac{y - 3}{4} ) = x$

Swap x and y. So our inverse function is

$\sin {}^{ - 1} ( \frac{x - 3}{4} ) = y$

If you want another proof: Here's one,

Let plug an a x value for the orginal equation,

4 sin x+3. Let say that

$x = \frac{\pi}{2}$

We then would get

$4 \sin( \frac{\pi}{2 } ) + 3 = 4 \times (1) + 3 = 4 + 3 = 7$

So when x=pi/2, y=7.

By definition of a inverse function, if we let 7 be our input, we should get pi/2. as a output.

So let see.

$\sin {}^{ - 1} ( \frac{7 - 3}{4} ) = \sin {}^{ - 1} ( \frac{4}{4} ) = \sin {}^{ - 1} (1) = \frac{\pi}{2}$

So this is the inverse function of 4 sin x+3.

1b. The range of f(x) is [-1,7).

We can use transformations to describe range.

We have

$f(x) = 4 \sin(x) + 3$

Parent function is

$\sin(x)$

with a range of [-1,1].

We then vertical stretch by 4 so we get

$4 \sin(x)$

and our range will be

[-4,4].

Then we add a vertical shift of 3.

$4 \sin(x) + 3$

So our range of 4 sin x+3.

[-1,7].

1c. Domain of a inverse function is the range of the orginal function.

The range of f(x) is [-1,7) so the domain of f^-1(x) is [-1,7].

f(x) domain was restricted to -pi/2 to pi/2 so the range of f^-1(x) is [-pi/2, pi/2]

6 0

3 years ago

Laura cut small right triangle off the corners of a larger right triangle to make a trapezoid, as shown belo. What is the area o

Dimas [21]

Answer:

42 inches²

Step-by-step explanation:

→ Work out area of full triangle

0.5 × 10 × 10 = 50

→ Work out area of smaller triangle

0.5 × 4 × 4 = 8

→ Minus the answers

50 - 8 = 42

8 0

2 years ago