A city is designing a new trail system that will be
6 1/6 miles long. They plan on placing 49 mileage signs to show the distance. How far apart will each sign be?

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]

Answer:

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y(t) = y(0)r^t[/tex]

In which [tex]y(0)[/tex] is the initial value and r is the rate of change.

11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year.

This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:

BPP:

[tex]B(t) = B(0)(1 + 0.06)^t[/tex]

[tex]B(t) = B(0)(1.06)^t[/tex]

APP:

[tex]A(t) = A(0)(1 - 0.06)^t[/tex]

[tex]A(t) = A(0)(0.94)^t[/tex]

In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.

This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]

Thus

[tex]B(t) = 2.05(1.06)^t[/tex]

[tex]A(t) = 1.75(0.94)^t[/tex]

Find the predicted number of customers for each provider in 2022.

2022 - 2018 = 4, so we have to find A(4) and B(4).

[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]

[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Answer:

a) Z = 2.575.

b) Z = 2.327.

c) Z = 1.96.

d) Z = 1.645.

e) Z = 1.88.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Question b:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Question c:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Question d:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Question e:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

Additional comment

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

Answer:

y=3^(x-2) + 1

Step-by-step explanation:

When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!

[tex]{25x {}^{2} y}^{2} - 16[/tex]

Answer:

5x+3y=6

Step-by-step explanation:

Use the slope intercept form then rearrange

Answer: 144

Step-by-step explanation:

If 1 pound is 16 ounces then you have to do 9 X 16

9x16 = 144

Therefore the answer is 144 ounces

Hope this helped!

Answer:

The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC

.Step-by-step explanation:

The measure of the angle is determined and the image is attached with the answer.

An angle is formed by two rays having a common end point.

The angle BAC is of certain measure.

To determine the value of the angle another angle is drawn in following steps

1. Draw a straight line XY

2. With an compass draw an arc of any length on BAC and on the new straight line XY  keeping tip of the compass on the end points A and X.

3. Measure the point at which the arc cuts the angle BAC from the point at which it intersects AC and with the same measure , keeping the point of the compass on the point where the arc intersected XY ,cut an arc on the arc.

4. The intersecting point Z of the arc is joint to X

5.The angle ZXY is measured , and this is the value of the angle BAC.

The image is attached with the answer.

To know more about Angle

https://brainly.com/question/7116550

#SPJ2

Answer:

27

Step-by-step explanation:

specific probability = number of specific possibilities divided by number of total possibilities.

the number of total possibilities is 72 (we can pull one out of 72).

the probability of pulling a red back is 3/8.

so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.

what is the factor to turn 8 into 72 ? 9.

8×f = 72

f = 72/8 = 9

to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.

3/8 × f/f = x/72

3/8 × 9/9 = x/72

3×9 / 72 = x/72

3×9 = x = 27

so, the probability ratio based on actual possibilities (number of balls available) is 27/72

=>

there are 27 red balls in the bag of total 72 balls.

Answer:

258

Step-by-step explanation:

Answer:

b) 0.5

c) 0.633

Step-by-step explanation:

a) Please find the attached image - tree diagram

b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results  = 2/3 * 3/4 = 1/2 = 0.5

c) P (selected campaign is satisfactory)

         = P(A's campaign and satisfactory) + P(B's campaign and satisfactory)

         = 2/3*3/4 + 1/3*2/5

         = 0.6333

Answer:

x = 12 , y = 7

Step-by-step explanation:

Let the numbers be x and y

Sum of the numbers,         x + y = 19 -------- ( 1 )

Difference of the number , x - y = 5 -------- ( 2)

( 1 ) + ( 2 ) => 2x = 24  

                    x = 12

Substitute : x in ( 2 ) => 12 - y = 5

                               => 12 - 5 = y

                              => 7 = y

Step-by-step explanation:

answer is in photo above

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

[tex]\sqrt{3}[/tex]

Answer:

m = [tex]-\frac{8}{5}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{1--7}{-6--1}[/tex]

m = [tex]\frac{8}{-5}[/tex]

m = [tex]-\frac{8}{5}[/tex]

Answer:

18x + 18

Step-by-step explanation:

(10x + 8) – (-8x – 10)

(10x – (-8x)) + (8 – (-10))

(10x + 8x) + (8 + 10)

18x + 18

Answer:

1. f= 3/5

2. t= 3/5

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

Below in bold.

Step-by-step explanation:

2(f - 9) = -28

2f - 18 = -28

2f = -28 + 18

2f = -10

f = -5.

-3(2t + 3) = -21

2t + 3 = -21/-3

2t + 3 =  7

2t = 4

t = 2.

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

Answer:

Graph A (first graph from top to bottom)

Step-by-step explanation:

Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.

Factoring the polynomial:

[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]

Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).

The graph that corresponds with this is graph A.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

Answer: x+y = 9, 2x+3y = 24

Step-by-step explanation:

Answer:

Cost = 11 + 4*t

Step-by-step explanation:

Cost = 11 + 4*t

Part A

t = 5 hours.

Cost = 11 + 4*5

Cost = 11 + 20

Cost = 31

Part B

time = t hours.

Cost = 11 + 4*t

for 5h he would need to pay $20 ( +$11 ) $31

i dont know what T is so ya :/

Step-by-step explanation:

6/5 this is the answer hopes this help

Answer:

4

Step-by-step explanation:

Answer:

............Ans..............

Answer:

t=3

Step-by-step explanation:

sorry if its incorrect i got it right on edgy.

Answer:

Step-by-step explanation:

y=5px+5x2+p2

y=10p2x2p

Given:

The diagram of triangle DEF and triangle D'E'F' on a coordinate plan.

To find:

The algebraic representation of the dilation.

Solution:

The vertices of triangle DEF are D(0,7), E(7,-7) and F(-7,-7).

The vertices of triangle D'E'F' are D'(0,2), E(2,-2) and F(-2,-2).

We know that, the dilation factor is:

[tex]k=\dfrac{x\text{ or }y\text{ coordinate of the dilated point}}{x\text{ or }y\text{ coordinate of the corresponding original point}}[/tex]

For point D' the y-coordinate is 7 and for point D the y-coordinate is 2. So,

[tex]k=\dfrac{2}{7}[/tex]

The rule of dilation is:

[tex](x,y)\to \left(kx,ky\right)[/tex]

[tex](x,y)\to \left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex]

The algebraic representation of the dilation is [tex]\left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex].

Therefore, the correct option is b.