Law of Exponents. Simplify each expression. Answers should be written with positive exponents.(-5p^6 times r^-9)^0

The relative frequency (RF) can be calculated as follows:

where RF is the relative frequency, F is the value of the frequency, and ∑F represents the sum of all frequencies.

Using a spreadsheet, we can get the following table:

Based on this table, we can see that ∑F = 40. Thus, we have to divide each frequency by 40 to get the relative frequency. As an example, using the first, second, and third row:

Answer:

Hello!

We have the equation of the line y = -4.

Let's put this equation in a cartesian plane:

Notice that this equation will be always constant. So, as we just have a straight line with no inclination, the slope is 0.

remember that the area of a trapezoid can be expressed as

Replace in the formula taking into account that B is the greater base, b is the smallest base and h is the height of the trapezoid.

The area of the trapezoid is 3,200 sqft.

Answer:

csc(9x)

Step-by-step explanation:

If 85 pounds of seed are needed to plant a 10-acre field, then each pound can cover

Computing the above division, we get:

Now, in the second problem, the rent for 3 hours is $10, therefore, the cost per hour is:

The decimal form of the above solution is:

Answer:

a)

b)

62 u² (square units)

1) A rectangular prism is made up of 6 rectangles. So we can write them out:

2 rectangles (3 x 2)

2 rectangles ( 5 x 2)

2 rectangles ( 5 x 3)

2) Therefore the Total Surface Area of that prism can be found by applying the formula for the area of each rectangle times 2. Like this:

3) Hence the answer is 62 u² (square units)

The subject of the formula is [tex]\pi r = {r(R^{2}- r^{2})}[/tex]

Given, 

V = πr (R²-r²)

then to find r in terms of the other values divide both the sides by the multiplier of r.

r is multiplied by πr²

Now divide both sides by V

[tex]\frac{V}{\pi r } = \frac{\pi r(R^{2}- r^{2})}{\pi r}[/tex]

[tex]\frac{V}{\pi r } = {(R^{2}- r^{2})}[/tex]

[tex]{\pi r } = \frac{{(R^{2}- r^{2})}}{V} \\\\\pi r^{2} = {r(R^{2}- r^{2})}[/tex]

Hence the answer is the subject of the formula is [tex]\pi r = {r(R^{2}- r^{2})}[/tex]

To learn more about expressions click here https://brainly.com/question/4344214

#SPJ9

​

The true statement regarding the expression is that D. The kennel charges $25 for the first day and $15 per day after the first day.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Cameron put his dog Buddy in a kennel while he went on a long business trip and the equation y = 15x + 25 shows the total charge y that Cameron will pay to put Buddy in a kennel for x days.

Therefore, option D illustrate this.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The question is asking you to compare to decimal numbers:

0.56 and 0.056 and decide which one

Answer:

it would be linear i gotcha bro

At the beggining the ratio of cats to dogs is

because ratio indicates a fraction (12 cats divided by 9 dogs)

After the adoption there were 11 cats and 8 dogs, then the ratio is

Since

Given:

To graph each pair of inequalities and indicate the solution set with cross hatching or shading

Solution

Determine the x and y intrcept of each of the given ineqiualities

Plot the graph as shown below

It can be observed that the solution set is unbounded, as shown by the cross hatching

The area of the circle is given by:

where r is the radius of the circle

Given area = 615.8 yd^2

so, we will calculate the radius of the circle as follows:

So, the radius of the circle = r = 14 yd

The circumference of the circle =

rounding the answer to the nearest tenth

So, the circumference = 88 yd

To determine which pattern could represent points on the graph, we notice that the following points are on the graph:

We can infer that the point

is also on the line.

Therefore, the pattern that could be contained in the graph is:

Answer: Option A.

We are asked to prove that triangles △PQR and △TSR are congruent.

Let us write the statements and reasons to prove that the given triangles are congruent.

We are given that R is the midpoint of QS and PT

This means that QR ≅ SR and also PR ≅ TR by the property of "Definition of midpoint"

So, now we have 3 equal sides in both triangles

Therefore, by the property of "Side-Side-Side" (SSS) the given triangles are congruent.

To know the depth of the drawer you need to know that the shelf paper is the area of the interior faces of the drawer, then:

A = 846sq in

the area is equal to:

Where:

Ab is the area of the base of the drawer

Al is the area of the laterals of the drawer

The Area of the base is:

And the area of the laterals is the sum of the area of every lateral:

Then:

The we clear the x:

a) Recall that to evaluate a function at a given value, we substitute the variable by the given value.

Therefore, evaluating C(h) at h=6 we get:

Simplifying the above result we get:

b) Setting C(h)=364 we get:

Subtracting 76 from the above equation we get:

Dividing the above equation by 24 we get:

Answer:

(a) $220.

(b) 12.

1) Considering that the 1st property of Logarithms tells us:

2) Let's evaluate that:

• Notice that we've descended that exponent x, to become a factor (3rd line).

• Then divided both log with a common base, in this case, base 10.

3) Hence that equation yields 1/2 as its result.

The value of 10P4 is 5040

Permutations and combinations are defined as the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Given 10P4

we have to evaluate the value of 10P4

10P4 is in the form of npr

Formula for npr = n!/(n-r)!

Here n =10 and r=4

Now substitute the values in the formula

(10! )/(10-4)!

= (10! )/6!

=(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(6 x 5 x 4 x 3 x 2 x1)

= 10 x 9 x 8 x 7

= 5040

Therefore the value of 10P4 is 5040

To learn more about permutations and combinations visit

https://brainly.com/question/13387529

#SPJ9

Answer:

The value of 10P4 is 5040

Permutations and combinations are defined as the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Given 10P4

we have to evaluate the value of 10P4

10P4 is in the form of npr

Formula for npr = n!/(n-r)!

Here n =10 and r=4

Now substitute the values in the formula

(10! )/(10-4)!

= (10! )/6!

=(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(6 x 5 x 4 x 3 x 2 x1)

= 10 x 9 x 8 x 7= 5040

Step-by-step explanation:

Answer:

Given that to solve

a) 2(q+4)=16

we get,

Dividing 2 on both sides we get,

Answer is: q=4

b)7j+2=12+5j

we get,

Dividing 2 on both sides, we get

c) 12z=60-3z

we get,

Dividing 15 on both sides we get,

The question simply means when you divide two numbers, the one that will result to 7

Hence;

36 ÷ 5 = 7.2

H is the correct option

The slope of the trend line is 32.4, and it represents the change of s per 1 hour.

Then, as the slope is 32.4 it represents: For an increase of 1 h in study time the test score will increase by approximately 32.4

Recall that the rule of transformation for a point (x,y) reflected over the x-axis is:

and the rule of transformation for a point translataled n units to the left is:

Therefore, point B(4,2) reflected over the x-axis:

and then translated 3 units to the left has as image the following point:

h = 2A/(a+b)

Explanation:

A=1/2(a+b)h

To solve for h, we will make h the subject of formula

The first thing we will do is bring the 1/2 to the other side of the equation:

To make h stand alone, we would divide both sides by the values in the bracket:

Therefore, h = 2A/(a+b)

Given that one-fourth of the class are girls;

And one half of the girls in the class are wearing dresses;

The fraction of the class that are girls with dresses is;

Therefore, the fraction of the

Given:

is given.

Required:

Which option is not appropriate.

Explanation:

Now we check all the option for this

which is appropriate

which is not appropriate

which is appropriate

which is appropriate

Final answer:

Answer:

Step-by-step explanation:

The distance between the points is found using the given coordinates and the distance formula.

The distance formula is based on right triangle and Pythagorean theorem and is the calculation of the hypotenuse provided the legs are known.

So the right order of operations is attached for you below.

You have found most of it, just small correction is needed.

Answer:

1., 2., 4., 5., 6., 3., 7.

Step-by-step explanation:

1. Draw a right triangle by dropping a vertical side and a horizontal side. (See attachment).

2. Determine the vertical side (2 units) and horizontal side (6 units) lengths by counting on the grid (be careful of the scale), or using the vertical coordinated (3 to 1) and horizontal coordinate (-2 to 4).

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Therefore:

4. Use the Pythagorean Theorem for right triangles to determine the diagonal length:

[tex]\implies \sf 2^2+6^2=c^2[/tex]

[tex]\sf 5.\quad 4 + 36 = c^2[/tex]

[tex]\sf 6. \quad 40 = c^2[/tex]

[tex]\sf 3.\quad \sqrt{40}=\sqrt{c^2}[/tex]

7.  √40 is between √36 and √49, so between 6 and 7 - closer to 6, so about 6.3 units.

Given expression is

Now, solving it as:

So,

is the required solution.

as x approaches 8, x approaches 8

it's just 8

SOLUTION

Solve for the value of x using supplementary angles

If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together.

To solve using the supplementary angle rule

Add the two angles together

Divide both side by 5

Hence the value of x = 37 degree

The measure of Angle 1 = <1 = 4x-5 = 4(37) - 5 = 143 degree

The measure of Angle 2 = <2 = x = 37 degree