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2 years ago

If you had a cube with a side length of 4, how can your write the calculations in exponential form?

Mathematics

1 answer:

umka21 [38]2 years ago

8 0

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power".

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The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

tester [92]

Answer: $p=7, q=3$

Step-by-step explanation:

The midline of the function is

$\frac{10-4}{2}=3 \implies q=3$

This means that to obtain a maximum of 10, when $\sin x$ reaches it's maximum, 1, $g(x)=p+q=10 \implies p=7$

7 0

1 year ago

Find the scale factor.

charle [14.2K]

Answer:

2/9

Step-by-step explanation:

Scale factor = 10/45 = 2/9

6 0

2 years ago

Is the function y = -7 a linear function?

dmitriy555 [2]

<h3>Answer: Yes it is linear.</h3>

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

7 0

2 years ago

Haley can bake 6 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x a

m_a_m_a [10]

Answer:

the answer is y=6x

(6 is a constant)

Explanation:

3 0

2 years ago

The weights of red delicious apples are approximately normally distributed with a mean of 9 Ounces and a standard deviation of 0

Simora [160]

Answer:

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

Step-by-step explanation:

Let X: weight of a red delicious apple, and B: the weight of the box and packing material.

The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.

Applying the property of the mean: $E(aX)=aE(X)$ , the mean of W will be:

$\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55$

Applying the property of the variance: $V(aX+b)=a^2V(X)$ , the variance of W will be:

$\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75$

The mean standard deviation of W will be the squared root of V(W):

$\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33$

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

3 0

3 years ago