The climate in which jonah lives is mild all year long except during the hotter summer months. for 3 months out of the year, jonah needs to use 4 portable fans to cool his home. if the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month, what is his total electricity cost for the fans during one year? a. $6.72 b. $3.84 c. $11.52 d. $2.88

Answer:

7.2 feet

Step-by-step explanation:

plug in x = 3 since we are looking for the height after the 3rd bounce

4(0.6)(3)

4(1.8)

7.2

The height after the third bounce is 0.86 feet.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 4 x \(0.6^x\) models the ball’s height in feet after each bounce.

Where x is the bounce number.

Now,

Substituting x = 3,

f(x) = 4 x \(0.6^x\)

f(x) = 4 x \(0.6^3\)

f(x) = 4 x 0.6 x 0.6 x 0.6

f(x) = 0.864

f(x) = 0.86

The height after the third bounce is 0.86 feet.

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Answer: This is a binomial distribution problem with parameters n = 17 and p = 0.3, where n is the sample size and p is the probability of a defective bulb. We need to find the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective.

Let X be the number of defective bulbs in the sample. Then X has a binomial distribution with parameters n = 17 and p = 0.3, i.e., X ~ B(17, 0.3).

We want to find P(3 ≤ X ≤ 6). Using the binomial probability formula, we have:

P(3 ≤ X ≤ 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

= (17 choose 3)(0.3^3)(0.7^14) + (17 choose 4)(0.3^4)(0.7^13) + (17 choose 5)(0.3^5)(0.7^12) + (17 choose 6)(0.3^6)(0.7^11)

≈ 0.1566 (rounded to four decimal places)

Therefore, the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective is approximately 0.1566.

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

Using differentiation from first principles

f'(x) = \(lim_{h>0}\)  \(\frac{f(x+h)-f(x)}{h}\)

      = \(lim_{h>0}\) \(\frac{4(x+h)^2-2-(4x^2-2)}{h}\)

      = \(lim_{h>0}\)  \(\frac{4x^2+8hx+4h^2-4x^2+2}{h}\)

      = \(lim_{h>0}\) \(\frac{8hx+4h^2}{h}\)

      = \(lim_{h>0}\) \(\frac{4h(2x+h)}{h}\) ← cancel the h on numerator/denominator

      = 4(2x)

      = 8x

Answer:

8x

Step-by-step explanation:

Pls I hope this helps

The measure of each arc is 30.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

Answer:

Step-by-step explanation:

f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)

or f(x)=a(x²+9x+14)

it has zeros as -2 and -7.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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The number of visitors to Disneyland who stayed for at least 3 hours, spent at least $20 but did not go on the Matterhorn ride is 40.

Let x be the number of visitors who stayed for at least 3 hours, spent at least $20 but did not go on the Matterhorn ride.

Let y be the number of visitors who stayed for at least 3 hours, spent at least $20 and went on the Matterhorn ride.

Then, we can write two equations:

x + y = 120                                          

(Equation 1)

20x + 25y = Total amount spent                

(Equation 2)

Since we don't know the total amount spent, we can't use Equation 2 to solve for x and y.

However, we can use the information given in the question to write another equation:

x + y = Total number of visitors who stayed for at least 3 hours and spent at least $20, regardless of whether they went on the Matterhorn ride.       (Equation 3)

We know that the total number of visitors who stayed for at least 3 hours and spent at least $20 is 80 (since 2/3 of the visitors met these criteria).

So, we have:

x + y = 80                                                                                                           (Equation 3')

Now, we have three equations with two unknowns.

We can solve for x and y by solving the system of equations.

Equation 1: x + y = 120

Equation 3': x + y = 80

Subtracting Equation 3' from Equation 1,

we get:

y = 40

Substituting y = 40 into Equation 3',

we get:

x + 40 = 80x

          = 40

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Answer:

8 1/7 is your answer

Step-by-step explanation:

Answer:

1 8/7

Step-by-step explanation:

1 8/7

The annual simple interest rate for the second account is 10%.

What is simple interest?

Simple interest is a method of calculating interest on a loan or investment, where the interest is calculated only on the principal amount and does not include any interest earned on the previously accumulated interest. In other words, simple interest is a fixed percentage of the original amount, and it does not change over time.

The formula for calculating simple interest is:

I = Prt

where I is the interest, P is the principal (the original amount), r is the annual interest rate as a decimal, and t is the time in years.

Now,

Let x be the annual interest rate for the second account. Since you earned 6% interest on the first account, the simple interest earned on the first account after one year is:

0.06(1000) = 60

Similarly, the simple interest earned on the second account after one year is:

x(800)

The total simple interest earned on both accounts is $140, so we can set up the equation:

60 + x(800) = 140

Simplifying and solving for x, we get:

x(800) = 80

x = 0.1

Therefore,

                 the annual interest rate for the second account is 10%.

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Answer: \(114.9\ in.^3\)

Step-by-step explanation:

Given

The radius of the hemisphere is \(r=3.8\ in.\)

The volume of a hemisphere is given by

\(V=\dfrac{2}{3}\pi r^3\)

Insert the value

\(V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3\)

It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

It is unlikely that any individual in Dr. Vickers' sample (or anyone at all) would have had the exact average number of feet, as the average is typically calculated as a mathematical mean that may or may not correspond to an actual measurement.

For example, if the average (mean) number of feet in a sample of 10 people is calculated to be 6 feet, it is highly unlikely that any individual in the sample actually has a height of exactly 6 feet. Rather, the average is a statistical summary of the data that provides insight into the central tendency of the sample as a whole.

It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

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Answer:

3/6 or 50%

Step-by-step explanation:

there are 6 total tiles and 3 of them are even

Answer: She should run 1 1/3 miles 5 times a week.

Step-by-step explanation:  I converted 3/4 to a decimal to have 1.75 and I multiplied it by 5 because that is how many times she will be running 1.75 miles in a week, I got 8.75. So that means if she runs 1.75 miles for 5 days she will run a total of 8.75 miles. Then I converted 1/4 into a decimal and now have 2.25, then I multiplied 2.25 by 3 and got 6.75. So I saw that 8.75 is greater than 6.75,

So the correct answer is: she should run 1 3/4 miles 5 times a week

The center of mass of the region E, described by the inequality ρ ≤ 1 + cosΦ, 0 ≤ Φ ≤ π/2, with density function p(x, y, z) = z, can be found by calculating the triple integral of the density function over the region and dividing it by the total mass of the region.

To determine the center of mass, we integrate the density function p(x, y, z) = z over the region E and divide it by the total mass. The triple integral can be calculated using spherical coordinates, where ρ represents the distance from the origin, Φ represents the azimuthal angle, and θ represents the polar angle. By integrating z over the given limits, we can find the mass of the region. Then, by calculating the weighted average of the coordinates, we can determine the center of mass.

In summary, the center of mass of the region E, defined by ρ ≤ 1 + cosΦ, 0 ≤ Φ ≤ π/2, with density function p(x, y, z) = z, can be determined by evaluating the triple integral of the density function over the region and dividing it by the total mass. The center of mass represents the average position of the mass distribution in the region.

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(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by \(h(t) = -16\cdot t^{2}+12\cdot t +10\), where \(h(t)\) is the height in feet and \(t\), the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

\(-16\cdot t^{2}+12\cdot t +10 = 10\)

\(-16\cdot t^{2}+12\cdot t = 0\)

Then, we simplify the expression by algebraic means:

\(-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0\)

Roots of the polynomial are, respectively:

\(t = 0\,s\,\lor \,t = 0.75\,s\)

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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Rounded to one decimal place, the volume of the prism is approximately 0.0 liters.

To find the volume of the prism, we multiply the length (l), width (b), and height (h) together.

Given:

l = 0.15

b = 40 mm

h = 20 cm

First, let's convert the measurements to the same unit for consistency. We'll convert mm to cm for the width.

b = 40 mm = 4 cm

Now, we can calculate the volume:

Volume = l * b * h

Volume = 0.15 cm * 4 cm * 20 cm

Volume = 12 cm³

To convert the volume to liters, we divide by 1000 since there are 1000 cm³ in 1 liter:

Volume = 12 cm³ / 1000 = 0.012 liters

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Answer:

14

Step-by-step explanation:

7/8 = 14/16

Answer: 16

Step-by-step explanation:

1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16

Answer:

16

Step-by-step explanation:

Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.

After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.

Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.

So, the bookstore has 56 - 40 = 16 copies left.

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

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Answer: You could assume that X=8 and y=0

Step-by-step explanation:

Answer:

Solutions below.

Step-by-step explanation:

This Question involves the concept of intercepts of a graph.

Intercepts of a graph are namely the x-intercept and y-intercept.

x-intercept is when y = 0. Example: (3,0)

y-intercept is when x = 0. Example: (0,9)

We are given the equation: x + 4y = 8

To find x-intercept, we can substitute y = 0 into the equation to obtain the value of x.

x + 4(0) = 8

x + 0 = 8

x = 8

Coordinates: (8, 0)

To fins y-intercept, we can substitute x = 0 into the equation to obtain the value of y.

0 + 4y = 8

4y = 8

y = 8 ÷ 4

y = 2

Coordinates: (0, 2)

Answer:

A line with a positive slope that crosses the x-axis at a positive value

Step-by-step explanation:

it would be A because it would be going through quadrant 1 and 5 which has positive values as there divider

The fraction in lowest terms is 2/3. Option C

First, we need to know that a fraction is described as the part of a whole variable, a whole number or a whole element.

The different  fractions in mathematics are listed thus;

From the information given, we have that;

a+1/b

Such that a = 5 and b = 9

Now, substitute the values, we get;

5 + 1/9

Add the values of the numerator

6/9

Divide the values

2/3

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

75% or -75

Step-by-step explanation:

The percentage decrease from 400,000 to 100,000 is a 75% decrease. Hope this helps... have a great day :))

Answer:

1/4 or 25% decrease

Step-by-step explanation:

Answer:

(2, 7/2)

look up a midpoint formula calculator