Given the following diagram what can you conclude?

The value of the equation that defines the function is f(x) = 3(5/3)ˣ

From the question, we have the following parameters that can be used in our computation:

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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Answer: 2/5

Step-by-step explanation:

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

48/49

Step-by-step explanation:

jv

Answer:

Step-by-step explanation:

48/49

Answer:

8 1/2 hour periods will make up 4 hours.

Step-by-step explanation:

half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.

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Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

each of the other sides is 2√2 = 2.8284

Step-by-step explanation:

A 45°- 45°-90° triangle is also known as a right isosceles triangle because two of the legs are the same as two of the angles are the same at 45°

If a is the length of one of the legs then the hypotenuse, h,  which is the longest side is given by the equation

\(h = \sqrt{a^2 + a^2}\\\\h = \sqrt{2a^2}\\\\h = a \sqrt{2}\)

Or, dividing by √2 on both sides,

\(\dfrac{h}{\sqrt{2} }= a\)

Given h = 4

\(a =\dfrac{ 4}{\sqrt{2}} = \dfrac{2\cdot2}{\sqrt{2}} = 2\sqrt{2} \quad\quad\quad(since $\dfrac{2}{\sqrt{2}}$ = \sqrt{2}})\)

a = 2√2 = 2.8284

So each of the other sides is 2√2 = 2.8284

Answer:

T = 7M/N

Step-by-step explanation:

Cross multiply

NT = 7M

Divide by N

NT/N = 7M/N

T = 7M/N

Answer:

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 75

Step-by-step explanation:

Answer: (D)

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The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

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Answer:

#2, 4, and 5 all have the same value of 64

Step-by-step explanation:

1) 16

3) 256

6) 16,777,216

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You would need to convert the fractions to a denominator of 15 because it's the closest denominator for both.

So 1 and 2/5 can be changed to 1 and 6/15

And 1 and 1/3 can be changed to 5/15

So what you do is multiply both the numerator and denominator by how much you need to multiply to get to 15 and the denominator.

You would then add the fractions, leaving the answer to be 2 and 11/15 

So for example 2 * 3 = 6 and 5 * 3 = 15, meaning the fraction would be 6/15

Answer:

6.5

Step-by-step explanation:

answer is 468:72=6.5, qwertyuiop

Answer:

1.56

Step-by-step explanation:

If you were trying to make your equation look like (2.6/13)7.8 , then the answer would be 1.56.

2.6 * 7.8 = 20.28

20.28 / 13 = 1.56

If you were trying to make you equation look like 2.6/137.8 , then the answer would be 0.01886792452

Answer:

Initially:

Cam has X stickers.

Dan has 2x.

Dan gives Cam 15 stickers:

Cam has x + 15 stickers.

Dan has 2x - 15 stickers.

2x - 15 = (x + 15) + 22.

X = 52 stickers.

x + 15 = 52 + 15 = 67 stickers.

2x - 15 = 2*52 - 15 = 89 stickers.

Step-by-step explanation:

As per the given standard deviation, the mean of the sum S = X + Y is $1557.50.

To calculate the mean of the sum S = X + Y, we need to know the means and standard deviations of X and Y. The mean of X is given as $732.50, and the standard deviation is $103. Similarly, the mean of Y is given as $825, and the standard deviation is $126.50.

To find the mean of the sum S = X + Y, we simply add the means of X and Y:

Mean of S = Mean of X + Mean of Y

= $732.50 + $825

= $1557.50

So, the mean of the sum S = X + Y is $1557.50.

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on the right side should have been added to

Answer:

The graph should have closed not open circles

Step-by-step explanation:

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

15.766

Step-by-step explanation:

17 menos 1.234 es 15

14 miles

Let "Candler" be known as "C" and "Oteen" as "O"

Given:

3.5 ------> 3.50

Comparing the rate (inches/mile) and the distance:

Multiplying both sides by 100:

Clearly, 350 is divisible by 25 as "50" is divisible by 25.

Divide both sides by 25 to isolate x:

The actual distance between the two cities is 14 miles.

Answer:

14 miles

Step-by-step explanation:

Given:

Let \(x\) be the distance between Candler and Oteen in miles.

\(\implies \dfrac14:1=3 \frac12:x\)

\(\implies \dfrac{\frac14}{1}=\dfrac{\frac72}{x}\)

\(\implies \dfrac14x=\dfrac72\)

\(\implies x=\dfrac72 \div \dfrac14\)

\(\implies x=\dfrac72 \times \dfrac41\)

\(\implies x=\dfrac{28}{2}\)

\(\implies x=14\)

Answer:

C.

Step-by-step explanation:

Perpendicular slope means it's the opposite, meaning the perpendicular slope of 1/3 is -3 because -3 = -3/1. [note: if it's positive it should come out negative and just the opposite if it's a negative (the fraction should also be flipped)]

Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

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The solution of the compound inequality 5x + 7 ≤  - 3 or 3x - 4 ≥ 11 is x ≤ -2 or x ≥ 5. Therefore, the answer is C.

An inequality is an expression containing <, >, ≤ and ≥.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality as follows:

5x + 7 ≤  - 3 or 3x - 4 ≥ 11

5x + 7 ≤  - 3

5x ≤ -3 - 7

5x ≤ - 10

divide both sides by 5

x ≤ - 10 / 5

x ≤ -2

3x - 4 ≥ 11

3x ≥ 11 + 4

3x ≥ 15

x ≥ 15 / 3

x ≥ 5

Therefore,

x ≤ -2 or x ≥ 5

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