Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

So, the probability of getting two yellows is 1/3

Do you agree or disagree? Explain your thinking.

Using an exponential function, it is found that her total profit for the first ten years is of $422,426.72.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, we have that the initial value and the growth rate are given as follows:

A(0) = 31124, r = 0.06.

Hence the profit function is given by:

[tex]P(t) = 31124(1.06)^t[/tex]

Then, the total profit over the first 10 years is given by:

[tex]\int_{0}^{10} P(t) dt[/tex]

[tex]\int_{0}^{10} 31124(1.06)^t dt[/tex]

[tex]\frac{31124}{\ln{1.06}} \times (1.06)^t|_{t = 0}^{t = 10} = 422,426.72[/tex]

Thus, her total profit for the first ten years is of $422,426.72.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, we have that:

Hence the number of ways in which they can be lined up is given by:

N = 2! x 8 x 7! = 80,640.

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

Answer:

(x - 8)(x - 3)=0

x - 8=0 or x - 3=0

x =8 x =3

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Step-by-step explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.

Done!

Based on the function given of y = 2.5x, the true statements are:

The equation y = 2.5x is a proportional relationship because y increases by a certain amount when x increases. That amount is shown by the slope of the line which is 2.5.

For instance, if there is a change of 2 in x, the change in y would be:

= 2.5 × x

= 2.5 x 2

= 5

Find out more on the proportional relationships at https://brainly.com/question/14149410.

#SPJ1

Answer:

acute triangle

Step-by-step explanation:

4 6 7 - Acute scalene triangle, area = 11.98

Answer:

x = 15

[x = 15.0]

Step-by-step explanation:

we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem

[note: "c" is what they are referring to as "x" here]

   a² + b²  =   c²

a : 12

b : 9

[c = hypotenuse/x/unknown side]

     12² + 9² = c²

    144 + 81  = c²

           225 = c²

        √225 = √c²

             15 = c

{x = 15.0}

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

[tex]f(x) = (x - (7 + i)) (x - (5 - i))[/tex]

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

[tex]f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))[/tex]

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

[tex]f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48[/tex]

Answer:

C on edge 23

Step-by-step explanation:

because i said so

If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.

The complete question is given below.

Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.​

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The data is given below.

25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.

The measures of center and variability that best summarize Frank's data will be

Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14

Mean = 392 / 14

Mean = 28

If Frank says that he typically makes about $27 per day because the mode is 27.

Yes, Frank's conclusion is appropriate.

More about the statistics link is given below.

https://brainly.com/question/10951564

#SPJ1

To solve the problem we must know about the Like terms and expressions.

In mathematics, an expression is a set of numbers, variables, and mathematical operations formed according to rules.

Given ;

[tex]3x(x - 12x) + 3x^2 - 2(x - 2)^2[/tex]

To  solve the algebraic expression,

[tex]3x(x - 12x) + 3x^2 - 2(x - 2)^2\\\\3x(x - 12x) + 3x^2 - 2(x^2 - 4x + 4)\\\\3x(x - 12x) + 3x^2 - 2x^2 + 8x - 8\\\\3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8\\\\-33x^2 + x^2 + 8x - 8\\\\\\-32x^2 + 8x - 8\\[/tex]

To solve the problem we must know about the Like terms and expressions.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

Answer:

answer is c (0,2)

hope it helps

The percent error of the measurement, to the nearest tenth of a percent is 18.6%

The formula for calculating the percent error is expressed as:

%error = actual - measure/actual * 100

Given the following

actual length = 13.4 in

Measured =10.9in

Substitute

%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%

Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%

Learn more on percent error here; https://brainly.com/question/1600371

#SPJ1

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]

Answer:

x=5 and y=7

Step-by-step explanation:

Just substitute in y=x+2 into the equation 5x-4y=-3 to get 5x-4(x+2)=-3 which simplifies to x=5. Substitute x into y=x+2 to find y=7

Answer: pass 12 fail 12 passes 15 fail1 3

Step-by-step explanation:

pass 12 fail 12

pass 15 fail 13

The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.

A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].

The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.

Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).

In conclusion, we can deduce that the range of this function is -∞ < y < ∞.

Read more on logarithm function here: https://brainly.com/question/26788007

#SPJ1

Answer:

domain:

c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.

and pretty sure the range is:

b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.

because all real numbers

Step-by-step explanation:

hope this helped

Answer:

[tex] x = - 12[/tex]

Step-by-step explanation:

[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]

[tex]9-\underline{9\div 9} + 9 - \underline{9 \div 9}\implies 9-\underline{1}+9-\underline{1}\implies 8+9-1\implies 17-1\implies 16\\[/tex]

recall PEMDAS, MD are before AS, and both are performed from left to right.

Answer:

20

Step-by-step explanation:

first lets apply PEMDAS

[tex]9 - (9 \div 9) + 9 - (9 \div 9) [/tex]

9 ÷ 9 = 1

1 × (-) = -1

9-(-1)= 10

( than do the same for other side )

and than you get

[tex]10 + 10[/tex]

the answer is 20

Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

Answer:

C

Step-by-step explanation:

[tex]\frac{25!}{(25-3)!} =13800[/tex]

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

The main purpose of the 14th Amendment is to guarantee and protect the citizenship and rights of African Americans.

The 14th Amendment was ratified in 1868, and it granted citizenship to all the people that born or naturalized in the United States.

This was a particularly significant development for former slaves.

This is to give them equal protection from the laws.

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

Learn more about amendment ;

https://brainly.com/question/13267647

#SPJ1

The true statement is the cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

In store 1, the cost of 1 pound of steak is $6.75.

Cost of 1 pound of steak in store 2 is 15 /2 = $7.50

Difference in the cost : $7.50 - $6.75 = $0.75

Here is the complete question:

The equation y = 6.75x models the cost, in dollars, to purchase x pounds of steak at grocery store 1. This table shows the cost to buy different weights of steak at grocery store 2.

Cost of Steak at Grocery Store 2

Weight (pounds) Cost

2..........................$15.00

3..........................$22.50

5......................... $37.50

9......................... $67.50

Which statement is true?

answer choices

The cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.75 more per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 more per pound than at grocery store 2. R

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

The attached figure represents the box and whisker plots

To do this, we start by converting the tallies in the frequency table to numerical values.

So, we have:

                Monday      Tuesday      Wednesday     Thursday   Friday

On Time     6                   3                     2                     10             10

Late             1                   0                     3                     4               10

Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots

See attachment

Read more about box and whisker plot at:

https://brainly.com/question/12343132

#SPJ1

Answer:

If you are asking if that's correct then yes it is

Step-by-step explanation: