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3 years ago

Terms that have the same variables raised to the same powers are called ___ terms.

Mathematics

1 answer:

Gnom [1K]3 years ago

6 0

The answer is like terms.

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H. 2x – 7 = 3 squared

Lubov Fominskaja [6]

Answer:

h. x=8

Step-by-step explanation:

$2x-7=3^2$

Step 1) Square the 3

$2x-7=9$

2) Add 7 to both sides

$2x-7(+7)=9(+7)$

$2x=16$

3) Divide both sides by 2

$\frac{2x}{2} =\frac{16}{2}$

$x=8$

8 0

3 years ago

8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin

Kazeer [188]

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using $E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }$

Where n=60 is the sample size and $\sigma=16$ is the population standard deviation.

The critical value corresponding to 95% confidence interval is $z_{\frac{\alpha}{2}}=1.96$

We substitute the values to obtain;

$E=1.96*\frac{16}{\sqrt{60} }$

$E=1.96*2.06559=4.0486$

3 0

3 years ago

Mrs. Terrace cut a small birthday cake into 6 equal pieces for 6 children. One child was not hungry, so she gave the birthday bo

ELEN [110]

Missing part of question:

Draw a tape diagram to show how much cake each of the five children received.

Answer:

See attachment

Step-by-step explanation:

Given

$Equal\ Pieces = 6$

$Children = 5$

Required

Tape diagram to represent the scenario

Because one child is not hungry, the number of children to share the cake becomes 6.

So, first we calculate the share of each child.

$Share = \frac{Pieces}{Children}$

$Share = \frac{6}{5}$

$Share = 1.2$

See attachment for tape diagram

The tape diagram implies that:

$5 * 1.2 = 6$

$\frac{6}{1.2} = 5$

$\frac{6}{5} = 1.2$

4 0

3 years ago

If the radius of the circle was doubled what effect would it have on the area

ch4aika [34]

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

5 0

3 years ago

Read 2 more answers

Four swimmers, Daniela, Camille, Brennan, and Amy, compete on a relay team. For the first race of the year, Daniela begins the r

Ad libitum [116K]

Answer:

A = {CBA, CAB, BCA, ACB}

Step-by-step explanation:

7 0

3 years ago