Members of the Video Digital club produce short videos. At the end
of each school year, the club hosts a Video Digital festival at a local
theater to show the community its top 25 videos.

Part A:
The club has realized from experience that when they don't charge
for admission, 800 people come. For every dollar they charge for
admission, 8 fewer people come. Write an inequality that they can
use to determine the price, p, in dollars that the club must charge for
at least 750 to come to the video festival

Part B: solve the inequality you wrote to in part A

Part C: explain in words what the solution to the inequality means in terms of the situation. Explain why the direction of the inequality sign in the solution makes sense.

Therefore

TheThe positive even numbers less than 10 are 2, 4, 6, and 8, providing multiple solutions to the problem as there are multiple even numbers within the given range.

To find all the positive even numbers less than 10, we consider numbers that are divisible by 2 and greater than zero. Starting from 2, the smallest positive even number, we increment by 2 until we reach a number less than 10.

By following this process, we find the positive even numbers 2, 4, 6, and 8. These numbers satisfy the conditions of being even (divisible by 2) and less than 10. Therefore, the list of positive even numbers less than 10 is 2, 4, 6, and 8. These numbers provide multiple solutions to the problem, as there are multiple positive even numbers within the given range.

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Answer: To find the explicit formula for the geometric sequence with the recursive formula an = 2an-1 and a1 = 1/8, we can use the following steps:

First, we can write out the first few terms of the sequence using the recursive formula:

a1 = 1/8

a2 = 2a1 = 2/8 = 1/4

a3 = 2a2 = 2/4 = 1/2

a4 = 2a3 = 2/2 = 1

a5 = 2a4 = 2

We can see that the common ratio between any two consecutive terms is 2, so we can write:

a2/a1 = 2

a3/a2 = 2

a4/a3 = 2

a5/a4 = 2

In general, we can write the ratio of any two consecutive terms as:

an/an-1 = 2

We can use this to find an expression for an in terms of a1:

a2/a1 = 2

a2 = 2a1

a3/a2 = 2

a3 = 2a2 = 2(2a1) = 4a1

a4/a3 = 2

a4 = 2a3 = 2(4a1) = 8a1

a5/a4 = 2

a5 = 2a4 = 2(8a1) = 16a1

In general, we can write:

an = 2^(n-1) * a1

Substituting a1 = 1/8, we get:

an = 2^(n-1) * (1/8) = 1/(2^(8-n))

Therefore, the explicit formula for the geometric sequence is:

an = 1/(2^(8-n))

Step-by-step explanation:

Our prediction is that it will take 130 students a total of 8,450 minutes to study for the test. So, the correct answer is "It will take them 8,450 minutes."

We can use the idea of proportionality to make a prediction about the time it will take 130 students to study for the test. Assuming that the amount of studying required for the test is the same for all students, we can say that the total amount of studying time is directly proportional to the number of students.

Let T be the time required for 130 students to study for the test. Then we can set up a proportion:

25 students / 1,625 minutes = 130 students / T

Solving for T, we get:

T = (130 students x 1,625 minutes) / 25 students = 8,450 minutes

Therefore, our prediction is that it will take 130 students a total of 8,450 minutes to study for the test. So, the correct answer is "It will take them 8,450 minutes."

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x=  

44

------                          <-------- fraction

201                  

​  =4.568

Step-by-step explanation:

Answer:

the inequality would look like this
|x-102.6| _>_2.4

An alien is unhealthy if its body temperature is less than 100.2ºF or more than 105ºF.

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

The total surface area of the pyramid is  335 square centimeters

The formula for determining the total surface area of a pyramid is expressed as;

TSI = 1/2(PI) + B

Given that;

Now, let's determine the base perimeter

Perimeter = 2( l + w)

Substitute the values

Perimeter = 2 ( 8 + 12)

Perimeter = 40 centimeters

The base area is given as;

Base area =  8(12)

Base area = 96 square centimeters

Substitute the values, we have;

Total surface area = 1/ 2 (40)(12) + 96

Total surface area = 240 + 96

Total surface area = 335 square centimeters

Hence, the value is 335 square centimeters

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The time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

Let C be the concentration of the chemical in the tank and V be the volume of the tank.

Initially, V = 100 gal and C = 40 lb/100 gal = 0.4 lb/gal.

Let t be the time in minutes.

The rate of change of C is given by:

dC/dt = (5*3.5 lb/gal - 7*C)/V

Solving the differential equation, we get:

C = 0.4 + 0.6e^(-7t/100)

Setting C = 0.8 lb/gal, we get:

0.8 = 0.4 + 0.6e^(-7t/100)

=> 0.6e^(-7t/100) = 0.4

=> e^(-7t/100) = 0.67

=> -7t/100 = ln 0.67

=> t = 100*ln0.67/-7

=> t = 36.31 minutes

Therefore, the time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

yes it is correct -2x=10

We are given two paraboloids as:z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)The volume of the solid enclosed between the two paraboloids is given byV = ∫∫R[(5 - 2(x^2 + y^2)) - (-9/2)(x^2 + y^2)] d\(z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)\)A

where R is the region in the xy-plane that is bounded by the circular region of radius a centered at the origin.We can rearrange the equation and simplify it as follows:V = ∫∫R (23/2)x^2 + (23/2)y^2 - 5 dAWe will use polar coordinates (r, θ) to evaluate the integral, and the limits of integration for the radius will be 0 and a, and the limits of integration for the angle will be 0 and 2π.

Hence, we can rewrite the integral as:V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθEvaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2\(V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθ Evaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2 * a^2]V = (46/3)πa^3 - 10πa^2\) * a^2]V = (46/3)πa^3 - 10πa^2Hence, the volume of the solid enclosed between the two paraboloids is (46/3)πa^3 - 10πa^2.The explanation has a total of 152 words.

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Answer:

60! hope this helps!

Step-by-step explanation:

Answer:

Hello!

Your answer follows below:

Step-by-step explanation:

X5 -3x3 -x2 +2x +2 ÷ x2 -2 = Please view attached file.

If you like my answer, please mark Brainliest.

Thanks!

Answer:

The correct answer would be A.) The ocean surface

A sailboat floats on the water with objects below it in the water. These objects are labeled seaweed negative 20 meters, clownfish negative 23 meters, squid negative 44 meters.

What did the diver most likely use as a reference point to describe the position of the squid?

A.) the ocean surface

B.) the ocean floor

C.) the position of the clownfish

D.) the position of the seaweed

Step-by-step explanation:

Got it right on edge :)

Answer:

A

Step-by-step explanation: Did the test

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Answer:

The numbers are blurry on the graph

The function with an amplitude of 3 and a phase shift of π/2 is h(x) = 3 cos (2x - π/2) + 3.

The amplitude of a function is the distance between the maximum and minimum values of the function, divided by 2. The phase shift of a function is the horizontal shift of the function from the standard position,

(y = cos(x) or y = sin(x)).
To find the function with an amplitude of 3 and a phase shift of π/2, we need to look for a function that has a coefficient of 3 on the cosine term and a horizontal shift of π/2.
Looking at the given options, we can eliminate option a) because it has a coefficient of -3 on the cosine term, which means that its amplitude is 3 but it is inverted.

Option b) has a coefficient of 3 on the cosine term but it has a phase shift of -π/2, which means it is shifted to the left instead of to the right. Option d) has a phase shift of π/2, but it has a coefficient of -2 on the cosine term, which means its amplitude is 2 and not 3.
A*cos(B( x - C)) + D

Where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

f(x) = -3 cos(2x - π) + 4

Amplitude: |-3| = 3

Phase shift: π (not π/2) b) g(x) = 3cos(2x + π) -1

Amplitude: |3| = 3

Phase shift: -π (not π/2) c) h(x) = 3 cos (2x - π/2) + 3

Amplitude: |3| = 3

Phase shift: π/2 d) j(x) = -2cos(2x + π/2) + 3200

Amplitude: |-2| = 2 (not 3)

Phase shift: -π/2
Therefore, the only option left is c) h(x) = 3 cos (2x - π/2) + 3. This function has a coefficient of 3 on the cosine term and a horizontal shift of π/2, which means it has an amplitude of 3 and a phase shift of π/2.
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To find m,

m= Y2-Y1 / X2-X1

m= 10-5 / 4-2

m= 5/2

m= 2.5

To find b,

Use coordinate (4,10)

y=mx+b

10=2.5(4)+b

10=10+b

b=0

y=2.5x

the answer is y=2.5x

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m

Answer:

Translation: 3 units right and 7 units down.

Step-by-step explanation:

The mapping rule for a rotation of 90° counter-clockwise about the origin is:

The mapping rule for a dilation of 0.25 about the origin is:

The mapping rule for a translation of 3 units right and 7 units down is:

The mapping rule for a reflection across the y-axis is:

To determine the rule that transforms KLMN to K'L'M'N', take one of the vertices from the pre-image and compare to its corresponding vertex in the image.

K = (-3, 4)

K' = (0, -3)

As the numerical values of the x and y coordinates have not be swapped or made negative, the transformation cannot be a rotation of 90 degrees about the origin, or a reflection in the y-axis.

As the x and y coordinates of K' are not 0.25 times the x and y coordinates of K, then the transformation cannot be a dilation of 0.25 about the origin.

Therefore, the transformation that transforms KLMN to K'L'M'N' must be:

To check, apply the mapping rule (x, y) → (x+3, y-7) to the vertices of KLMN:

Therefore, this confirms that the transformation is a translation of 3 units right and 7 units down.

To increase the power of a statistical test, one can increase the sample size or increase the significance level. Option D.

It is necessary to either increase the sample size or raise the significance threshold in order to increase the power of a statistical test while maintaining all other factors constant. Let's investigate the causes of this.

The likelihood of successfully rejecting the null hypothesis in a statistical test is known as power. In other words, it refers to the test's capacity to identify a genuine difference or impact. A Type II mistake happens when we fail to reject the null hypothesis even when it is untrue, hence increasing the power is beneficial because it lowers the likelihood of this occurrence.

The power of a test is improved by increasing the sample size. More data points are provided and sampling variability is decreased with a bigger sample size. The test becomes increasingly capable of detecting subtle effects or variations as there are more observations. Because the test has a better chance of successfully identifying a real effect, the power rises as a result.

Alternately, increasing the strength can be accomplished by raising the significance level, also referred to as the alpha level. The threshold for rejecting the null hypothesis is determined by the significance level. The test is made more forgiving by raising the significance level (for instance, from 0.05 to 0.10), which makes it simpler to reject the null hypothesis.

As a result, the test's power rises as the likelihood that it will find a real effect rises.

It's crucial to keep in mind, though, that raising the significance level also raises the likelihood of making a Type I error, which is to reject the null hypothesis when it is actually true. Since there is a chance of producing more false positives, altering the significance threshold should be done with caution. The right answer is D.

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Answer:

$52 total

Equation: \(P = A + (3r)\)

Step-by-step explanation:

If he has to pay $10 in admission and an additional $3 per ride, he'd be paying $52 altogether.

R = number of rides

P = total price

A = Admission

\(p=A + (3r)\)

\(P=10+(3*14)\\P=52\)

Since each ride is $3, you'd need to multiply $3 by the number of rides to get the total you'd spend on rides. To get the total altogether including admission, you'd need to add the admission fee as well

For example, if he rode 20 rides, the equation would be

\(p=10 + (3 *20)\)

3 x 20 = 60.

\(p=10 + 60\\p=70\)

So, Fwam would have to pay $52 total for admission and 14 rides.

It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

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Answer:

1st person will receive = $590

2nd person will receive = $470

3rd person will receive = $940

Step-by-step explanation:

Total divisible amount = $2000

according to the question:

let 2nd person's received amount = x

1st person's received amount = x + 120

3rd person's received amount = 2x

x + x + 120 + 2x = 2000

4x + 120 = 2000

4x = 2000 - 120

4x = 1880

x = 1880 / 4

thus,

x = 470

1st person will get = x + 120 = 470+120 = $590

2nd person will get = x = $470

3rd person will get = 2x = 2 * 470 = $940

Answer:

It will be 1/4

Step-by-step explanation:

Hope this helped

Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

\(3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3\)

Answer:

Step-by-step explanation:

3     1

9     3

15    5

21     7

Answer:

y = ± 11

Step-by-step explanation:

y² = 121 ( take square root of both sides )

\(\sqrt{y^2}\) = ± \(\sqrt{121}\)

y = ± 11