20) Angel asked some of her friends to write down the types and number of pets they own. The bar graph shown here displays the information she received.
Angel predicts that the next friend she asks will not own a rabbit.
Which statement justifies Angel's prediction?

A) None of Angel's friends owns a rabbit.

B) There are more rabbits owned than birds.

C) There are fewer rabbits owned than any pet.

D) There are just as many birds owned as rabbits.

The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

The expression is given as:

n⁵ * k⁵ * n⁻⁵ * k

Rewrite the expression as:

n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k

Apply the law of indices

n⁵ * k * n⁻⁵ * k = k⁶

Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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Answer:

k^6

Step-by-step explanation:

Answer:

749.1m

Step-by-step explanation:

Hope this helped!

Answer:24/3=$8 each shirt

y=1x+8

Step-by-step explanation:

3 shirts are equal to $24.

24/3=$8 each shirt

The equation is y=1x+8

In the table, just times 8 for each.

For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]

Answer:

84

Step-by-step explana8tion:

Answer: 115.6

Step-by-step explanation:

Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

hope this helps!

have a nice day!

Answer:

Explanation: This is the answer

Answer:

[tex]h = 9\ cm[/tex]

Step-by-step explanation:

Step 1:  Determine what h is

[tex]Area = \frac{h * b}{2}[/tex]

[tex]45\ cm^2 = \frac{h * 10\ cm}{2}[/tex]

[tex]45\ cm^2 *2 =\frac{h * 10\ cm}{2}*2[/tex]

[tex]90\ cm^2 = h * 10\ cm[/tex]

[tex]\frac{90\ cm^2}{10\ cm}= \frac{h*10\ cm}{10\ cm}[/tex]

[tex]9\ cm = h[/tex]

Answer: [tex]h = 9\ cm[/tex]

Answer:

[tex]d=\frac{18}{\pi }[/tex]

Step-by-step explanation:

We work our way backward to find the diameter.

Circumference of a Circle Formula:

[tex]C=2\pi r[/tex]

r is radius , 2*radius = diameter.

Given information: C=18 cm , pi=3.14.

[tex]C=2\pi r\\18=2\pi r\\[/tex]

Get r by itself.

[tex]r=18/2\pi\\r=9/\pi[/tex]

r≈2.864788976

2*r=d

[tex]2*9/\pi =diameter\\d=\frac{18}{\pi }[/tex]

Answer:

the probability = 1/4

Step-by-step explanation:

Check the diagram tree I provided (it’s incomplete because it’s so long)

the probability that she starts with a black shirt equal to :

[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]

because she has :

One choice to pick a black shirt out of 4 colors

4 choices to pick pants out of 4 colors

4 choices to pick socks out of 4 colors

4 choices to pick shoes out of 4 colors

Step-by-step explanation:

Please check the shots I sent you'll understand it perfectly

Answer:

That is written in standard form, no changes are needed.

9.45×10^6 is the answer

Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667

Answer:

By making use of Pythagoras theorem

Step-by-step explanation:

l²=4²+4²

=16+16=32

I=✓32

8²=x²+(✓32)²

64=x²+32

x²=64-32

x²=32

x=✓32

Answer:

55p

Step-by-step explanation:

iced cake = 10p more than a plain cake

iced cake = 10p + plain cake

iced cake and a plain cake together = £1

iced cake + plain cake = £1

if iced cake = 10p + plain cake, we can plug this into our second formula to get

(10p + plain cake) + plain cake = £1

10p + 2 * plain cake = £1 = 100p

subtract 10p from both sides to isolate the variable and its coefficient

2 * plain cake = 90p

divide both sides by 2 to isolate the variable

plain cake = 45p

iced cake = 10p + plain cake = 55p

Answer:

2.22

Step-by-step explanation:

4/9 x 5

Answer:

Step-by-step explanation:

The range is the difference between the highest and lowest values in a data set.

Answer:

8

Step-by-step explanation:

When finding the range, you have to subtract the smallest value from the biggest value,

2, 9, 7, 9, 1, 6

⇒ 1, 2, 6, 7, 9, 9

If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,

Now that know that we need to subtract,

9 - 1

= 8

Therefore the range of this set of numbers is 8.

Answer:

512

Step-by-step explanation:

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

__

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

_____

If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )

Answer:

y = -5x + 7

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

First of all, remember what the equation of a line is:

Where:

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,8), point #1, so the x and y numbers given will be called x₁ and y₁. Or x₁ = -3 and y₁ = 8.

Also, let's call the second point you gave, (-2,3), point #2, so the x and y numbers here will be called x₂ and y₂. Or, x₂ = -2 and y₂ = 3.

Now, just plug the numbers into the formula for m above, like this:

[tex]m=\frac{3-8}{-2--3}[/tex]

or...

[tex]m=\frac{-5}{1}[/tex]

or...

[tex]m=-5[/tex]

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

[tex]y=-5x+b[/tex]

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,8) and (-2,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want..the answer will be the same:

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-3,8) and (-2,3)

is

y=-5x-7

Answer:

r = 23

Step-by-step explanation:

Using the formula

Solving for r

Answer:

2

Step-by-step explanation:

log 4 +log 25

Since these two equations have the same base and are being added, we can multiply the arguments

it would be: log 100

which is 2

Answer:

2

Step-by-step explanation: In logs, the opposite of addition is multiplication. Also, there needs to be only 1 log when you're condensing. So you'll multiply 4*25=100. And just plug in your calculator log(100) which is 2.

Hope this helps.

Answer:

C

Step-by-step explanation:

the angle in a semicircle = 90° , that is the 3rd angle in the triangle.

the sum of the 3 angles in a triangle = 180° , then

p + 90° + 42° = 180°

p + 132° = 180° ( subtract 142° from both sides )

p = 48°

Same Denominator We Add The Numerators:

Answer:

[tex]u + 2[/tex]

Answer:

-25 is the simplest form

Answer:

D is the correct answer.

Step-by-step explanation:

[tex]3 {x}^{2} + 7x - {(x + 4})^{2} - 9 [/tex]

[tex]3 {x}^{2} + 7x - ( {x}^{2} + 8x + 16) - 9[/tex]

[tex]3 {x}^{2} + 7x - {x}^{2} - 8x - 16 - 9[/tex]

[tex]2 {x}^{2} - x - 25[/tex]