write 9 and 23 as powers of 3

4 pair for 65 $

so for 1 pair, 65/4 = 16.25 $

so the unit rate is 16.25 $

Answer:

-200

Step-by-step explanation:

ATQ, a+11d=-13 and a+a+d+a+2d+a+3d=24, 4a+6d=24. Solving this, we get a=9 and d=-2. Sum of the first 20 terms is 10*(18+(19)*(-2))=-200

Using a system of equations, it is found that the third graph shows a pair of lines that represent the equations with a solution (−5, 2).

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The solution of the system on a graph is the intersection of two lines. The third graph has an intersection at (-5,2), hence it is the answer to this question.

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Answer:

-0.58333333333

Step-by-step explanation:

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

Area = 90 units^2

Step-by-step explanation:

For the area of a triangle, we can simply use the following equation:

Area = ( 1 / 2 ) * Base * Height

We are given a base of 12 and a height of 15, so we can simply plug those values into the formula to find the area.

Area = ( 1 / 2 ) * Base * Height

Area = ( 1 / 2 ) * 12 * 15

Area = 6 * 15

Area = 90

Hence, the area of our triangle is 90 units^2.

Cheers.

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area = 1 / 2 × 15 × 12

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area = 1 × 15 × 6

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area = 90 unit²

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Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

$32.07

Step-by-step explanation:

Just add them together.

Answer:

the next point will be 4, 6

Step-by-step explanation:

if you follow the dots in the line that they make, the next on will be 4, 6

Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

The missing coefficient, b in the equation given above according to the task content is; 11 and the completed equation is; 8x + 11b = 4.

It follows from the task content that the missing coefficient, b is to be determined according to the task content.

Therefore, since it follows from pair of coordinates interpretation that; (-5, 4) means; x = -5 when y = 4.

Therefore, we have;

8(-5) + b(4) = 4

-40 + 4b = 4

4b = 44

b = 11.

Hence, the missing coefficient, b in the equation is; 11.

Ultimately, the completed equation as required is; 8x + 11y = 4.

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Variables

• p: number of pizza slices purchased

• s: number of sodas purchased

• t: total cost

Given that there are 8 students and each student receives 2 slices of pizza, then:

That is, they have to purchase 16 slices of pizza.

Given that there are 8 students and each student receives one can of soda, then:

That is, they have to purchase 8 cans of soda.

If 1 can of soda costs $1.50, then, s cans of soda will cost 1.5s dollars

If 1 slice of pizza costs $3, then, p slices will cost 3p dollars

The total cost is the addition of the cost of sodas and the cost of pizza, then:

Substituting p = 16 and s = 8 into the last equation, we get:

Answer:

The 90% confidence interval for the mean reduction in systolic blood pressure is between 22.66 and 40.14.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

The mean and standard deviation for the before treatment were 168.6 and 9.3, respectively. The mean and standard deviation for the after treatment were 137.2 and 7.4.

This means that

\(\mu = 168.6 - 137.2 = 31.4\)

\(\sigma = \sqrt{9.3^2+7.4^2} = 11.88\)

90% confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 1.645\frac{11.88}{\sqrt{5}} = 8.74\)

The lower end of the interval is the sample mean subtracted by M. So it is 31.4 - 8.74 = 22.66

The upper end of the interval is the sample mean added to M. So it is 31.4 + 8.74 = 40.14

The 90% confidence interval for the mean reduction in systolic blood pressure is between 22.66 and 40.14.

Answer:

Step-by-step explanation:

The graph of the given function is given as:

Therefore, if we use rules for function transformations:

-f(x) reflects about x-axis

f(x)-d vertical translation down ''d'' units

f(x-c) horizontal translation to the right ''c'' units.

Then, the function that represents the transformation reflected about the x-axis shifted down 2 units and 9 units to the right;

Answer:7%

Step-by-step explanation:the store is rapidly selling laptops

1. The probability that no laptops will be sold next week is very low, as the store has an average of 3 laptops sold per week. This probability can be calculated using the Poisson distribution, which is a probability distribution used to model the number of times an event occurs within a given time period. The probability of no events occurring within a given time period is given by the formula:P(x=0) = e^(-lambda)

Where lambda is the average number of events per time period. In this case, the probability that no laptops will be sold next week is:

P(x=0) = e^(-3) = 0.0498

2. The probability that a laptop will be sold next week can also be calculated using the Poisson distribution. The probability of at least one event occurring within a given time period is given by the formula:

P(x>=1) = 1 - P(x=0) = 1 - e^(-lambda)

In this case, the probability that a laptop will be sold next week is:

P(x>=1) = 1 - e^(-3) = 0.9502

3. The probability that only one laptop will be sold tomorrow (Tuesday) can be calculated using the Poisson distribution. The probability of x events occurring within a given time period is given by the formula:

P(x) = (lambda^x * e^(-lambda)) / x!

Where lambda is the average number of events per time period and x is the number of events being considered. In this case, the probability that only one laptop will be sold tomorrow is:

P(x=1) = (3^1 * e^(-3)) / 1! = 3 * e^(-3) = 0.224

Note that this probability assumes that the store sells laptops at a constant rate throughout the week, and does not take into account any variations in demand or other factors that may affect the number of laptops sold on a given day.

The general equation of a circle is

So, in this case, you have

Then,

Therefore, the equation of the circle is

8/5 is the value that is not one of the possible rational zeros of the given polynomial.

Using the Rational Root Theorem, we need to consider the factors of the constant term (-8) divided by the factors of the leading coefficient (5).

The factors of -8 are ±1, ±2, ±4, ±8.

The factors of 5 are ±1, ±5.

Since the leading coefficient of the given polynomial is positive (5), the negative factors can be ignored.

So, the possible rational zeros are:

1/1, 2/1, 4/1, 8/1, 1/5, 2/5, 4/5, 8/5

Now, we can substitute each of these values into the polynomial and see if any of them result in a zero.

Upon checking, we find that 8/5 is not a zero of the polynomial 5x³ - 2x² + 20x - 8.

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Answer: 5,974.77

Step-by-step explanation:

The volume of the crayon given it's dimensions is 4,647.9 mm³

The surface area of the crayon is 2,388.9 mm².

Cylinder:

r = d/2

= 8.5 mm/2

= 4.25 mm

h = 80 mm

Cone

r = d/2

= 6.5 mm/2

= 3.25 mm

h = 10 mm

Volume of a cylinder = πr²h

= 3.14 × 4.25² × 80

= 3.14 × 18.0625 × 80

= 4,537.3 mm³

Volume of a cone = 1/3πr²h

= 1/3 × 3.14 × 3.25² × 10

= 1/3 × 3.14 × 10.5625 × 10

= 331.6625/3

= 110.5541666666666

Approximately,

110.6 mm³

Volume of the crayon = Volume of a cylinder + Volume of a cone

= 4,537.3 mm³ + 110.6 mm³

= 4,647.9 mm³

Surface area of a cone = πr (r + √h² + r²)

= 3.14 × 3.25(3.25 + √10² + 3.25²)

= 3.14 × 3.25(3.25 + √100 + 10.5625)

= 3.14 × 3.25 (3.25 + √110.5625)

= 3.14 × 3.25(3.25 + 10.5)

= 3.14 × 3.25(13.75)

= 3.14 × 44.6875

= 140.3 mm²

Surface area of a cylinder = 2πrh + 2πr²

= 2×3.14×4.25×80 + 2×3.14×4.25²

= 2,135.2 + 113.4325

= 2,248.6 mm²

Surface area of the crayon = Surface area of a cone + Surface area of a cylinder

= 140.3 mm² + 2,248.6 mm²

= 2,388.9 mm²

Hence, 2,388.9 mm² and 4,647.9 mm³ is the surface area and volume of the cone.

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Answer:

theyre correct

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:no idea

Step-by-step explanation: