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3 years ago

Examine the power.

Mathematics

2 answers:

NARA [144]3 years ago

7 0

Step-by-step explanation:

(-3) (-3) (-3) (-3) (-3) = -243

its the right answer

son4ous [18]3 years ago

6 0

La respuesta es el número 4

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A jet ski rental charges a flat rate of $75, plus an additional $60 per hour. You do not want to spend more than $200. How many

yawa3891 [41]

Answer:

22.5

Step-by-step explanation:

You time 75 by 60. Then, you divided it by 200. The answer is 22.5.

5 0

3 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

3 years ago

A retired math teacher takes his niece shopping. He tells his niece that they can spend x dollars and x minus 49.5 equals 15. Wh

kakasveta [241]

X - 49.5 = 15
x = 15 + 49.5
x = 64.5

8 0

3 years ago

Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total

eimsori [14]

Answer:

$The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$

$The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).$

Step-by-step explanation:

As given

$Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.$

$Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.$

$she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.$

As given the expression.

$= \frac{6 \frac{1}{2}}{\frac{3}{4}}$

$= \frac{\frac{13}{2}}{\frac{3}{4}}$

Solving the above

$= \frac{13\times 4}{2\times 3}$

$= \frac{26}{3}$

In the decimal form.

= 8.67 (Approx)

$Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$

$Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).$

6 0

3 years ago

s quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2? Why or why not?

Likurg_2 [28]

If quadrilateral JKLM has given values, as well as quadrilateral ABCD, it can be concluded from the given values if JKLM is a result of a dilation of ABCD by a scale factor of 2. Dilation factor is used to scale up a given figure. If ABCD has measurements of 1, 2, 3, and 4. Then the measurements of JKLM should be 4, 8, 12, and 16.

4 0

3 years ago