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2 years ago

What property is illustrated by the statement? 7+(4+4)=(7+4)+4

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

4 0

C cumulative property of multiplication

Ivenika [448]2 years ago

3 0

I believe the answer is actually B. Because Associative works with parenthese I don't remember if Commutative does. Excuse me if I am wrong.

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HELP ASAP<br> f(x)=x² what is g(x)?

murzikaleks [220]

Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.

4 0

2 years ago

7. What is the solution to 9x = -63?<br> A. x=54<br> B. x= 7<br> C. x= -7<br> D. x = -54

Dmitry [639]

Given the equation 9x = -63, the numerical value of x is -7.

<h3>What is the solution to the given equation?</h3>

Given the equation in the question;

9x = -63

To determine the value of x, we divide both sides by the coefficient of x.

9x = -63

9x/9 = -63/9

x = -7

Given the equation 9x = -63, the numerical value of x is -7.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

6 0

1 year ago

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for <em>h: </em>

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

2 years ago

What is 5/8 to the lowest fraction?

neonofarm [45]

5/8 is the lowest fraction. It can not be simplified anymore

3 0

3 years ago

Help me plzzzzzz........

Tanya [424]

Answer:

Step 1

Step-by-step explanation:

You should isolate the variable, not try to get rid of it. Also, you have to divide both sides by the same number or variable(can't divide one side by a and the other side by 7- it has to be the same).

4 0

2 years ago

Read 2 more answers