Solve for x. Round to the nearest tenth, if necessary.

Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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The measure of angle A in such a quadrilateral is 64°.

Given that,

∠B= 28°

∠ D = x

Since quadrilateral ABCD is inscribed in a circle, opposite angles are supplementary. Therefore, we have:

∠B + ∠D = 180

28 + x = 180

Solving for x, we get:

x  = 180 - 28

   = 152

Now, we can use the fact that the sum of angles in a quadrilateral is 360 degrees to solve for angle A:

Angle A + Angle B + Angle C + Angle D = 360°

Substituting the given values and the value of x we found, we get:

Angle A + 28 + Angle C + 152 = 360

Angle A + Angle C = 360 -28

Angle A + Angle C = 180

But angle C is supplementary to angle A, so:

∠ A + (x - 36) = 180

Substituting the value of x we found, we get:    

∠ A + 116 = 180

∠A = 64°

Therefore, the measure of angle A in such a quadrilateral is 64°.

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Find the equation of the line through point (-2,-2) and parallel to 3+4=12.

\(( - 2 \: - 2)\)

Factor out the negative sign

\( - ( 2 + 2)\)

Calculate

\( - 4\)

\(3 + 4 = 12\)

Calculate

\(7 = 12\)

Check the equality

\(false\)

The equations that, together with y = -1.5x + 3, make a system with one solution are: 1. Y = -1.5x + 6, 4. 2Y + 3x = 6, 5. Y = -2x + 3

To find the equation that makes a system with one solution when paired with y = -1.5x + 3, we need to find an equation with a different slope and/or a different y-intercept.

Let's analyze each given equation:

1. Y = -1.5x + 6: This equation has the same slope as y = -1.5x + 3 but a different y-intercept, so it has one solution.

2. Y = -1.5x: This equation has the same slope as y = -1.5x + 3, and therefore has an infinite number of solutions (or is dependent), so it's not the answer.

3. 2Y = -3x + 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y = -1.5x + 3, which is the same as the given equation, so it's not the answer.

4. 2Y + 3x = 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y + 1.5x = 3. This equation has a different slope, so it has one solution.

5. Y = -2x + 3: This equation has a different slope and y-intercept, so it has one solution.

Thus, the equations that, together with y = -1.5x + 3, make a system with one solution are:

1. Y = -1.5x + 6
4. 2Y + 3x = 6
5. Y = -2x + 3

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Answer:

He can have up to 750 to 2250 calories for the rest of the day.

1500 - 750 = 750

3000 - 750 = 2250

Step-by-step explanation:

Hope it helps! =D

Answer:

from 750 to 2250

Step-by-step explanation:

the least calories he can have is 750 which sums up to 1500 with the calories he's already eaten, and the most he can have is 2250 calories which sums up to 3000 and he can have any amount in between

Compound interest is the adding of interest to the principal sum of a loan or deposit. The rate of percentage per annum compound interest is 4%.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

\(A = P(1+ \dfrac{r}{n})^{nt}\)

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

Given the principal amount is 2,500, the time period for which the amount is compounded is 4%. Also, the final amount is 2704.

2,704 = 2,500(1+R)²

1.04 = 1 + R

R = 0.04 = 4%

Hence, the rate of percentage per annum compound interest is 4%.

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Answer:

Step-by-step explanation:

DB then AB CD

The water gauge pressure at the house will be 9.63×10⁵ N/m².

Firstly we will be calculating the total height which will comprise of height from tank to house and elevated height. The formula for total height will be -

Total height = 5 + 110 sin 58°

Keep the value of sin 58° in formula and performing multiplication followed by addition

Total height = 5 + 110×0.848

Total height = 5 + 93.28

Total height = 98.28 meters

Now, calculating the water gauge pressure at house. The formula to be used is -

P = ρ×g×h, where P is pressure, ρ is density of water, g refers to acceleration due to gravity and h represents total height. We are aware that density of water is 1000 kg/m³ and accelerate due to gravity is 9.8 m/s².

Keep the values in formula to find the gauge pressure.

P = 1000 × 9.8 × 98.28

Performing multiplication

P = 963,144 N/m² or 9.63×10⁵ N/m²

Hence, the water gauge pressure at the house will be 9.63×10⁵ N/m².

The complete question is -

A house at the bottom of a hill is fed by a full tank of water 5m deep and connected to the house by a pipe that is 110m long at an angle of 58 degrees from the horizontal. Determine the water gauge pressure at the house.

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Answer:

ans:88.18cm

Step-by-step explanation:

We cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0.

To verify that if f(p) = 0, then each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p, we need to substitute p into each function and check if the result is equal to p.

g1(x) = (3+x-2x^2)^(1/4)

Let's substitute p into g1(x):

g1(p) = (3+p-2p^2)^(1/4)

To verify if g1(p) = p, we need to show that (3+p-2p^2)^(1/4) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g1(x) has a fixed point at p without further calculations or approximations.

g2(x) = (x+3-x^4/2)^(1/2)

Let's substitute p into g2(x):

g2(p) = (p+3-p^4/2)^(1/2)

To verify if g2(p) = p, we need to show that (p+3-p^4/2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g2(x) has a fixed point at p without further calculations or approximations.

g3(x) = (x+3/x^2+2)^(1/2)

Let's substitute p into g3(x):

g3(p) = (p+3/p^2+2)^(1/2)

To verify if g3(p) = p, we need to show that (p+3/p^2+2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g3(x) has a fixed point at p without further calculations or approximations.

g4(x) = (3x^4+2x^2+3)/(4x^3+4x-1)

Let's substitute p into g4(x):

g4(p) = (3p^4+2p^2+3)/(4p^3+4p-1)

To verify if g4(p) = p, we need to show that (3p^4+2p^2+3)/(4p^3+4p-1) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g4(x) has a fixed point at p without further calculations or approximations.

Therefore, based on algebraic manipulations alone, we cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0. Further calculations or approximations would be required to determine the fixed points of these functions.

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Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = \(\frac{opposite}{adjacent}\) = \(\frac{20}{x}\) ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = \(\frac{20}{tan15}\) ≈ 74.6 ft ( to the nearest tenth of a foot )

Answer: 15.9

Step-by-step explanation:

Multiply them and get 15.9

Answer:

Step-by-step explanation:

3.25 ........or  13/4

Answer:

Hence the expression \($(x+8)(x+3)=x^{2}+11 x+24$\).

Step-by-step explanation:

- The given expression is (x+8)(x+3).

- We have to multiply the given expression.

- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.

\($$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$\)

The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.

The sign before the blank is "+" (Example: +300).

(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).

When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.

Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.

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Answer:

12 3/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 50% is the answer

Answer: 50%!

Step-by-step explanation:

Correlation analysis:

a. The variables used in the research study are "age" and "number of times eaten out in an average month." The level of measurement for age is an interval, and the level of measurement for the number of times eaten out is ratio.

b. Pretest Checklist for NormalityAge Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 45.17, Standard deviation = 14.89, Skewness = -.08, Kurtosis = -0.71.

The histogram for the age of respondents is approximately bell-shaped, indicating normality.

Number of times eaten out Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 8.38, Standard deviation = 8.77, Skewness = 2.33, Kurtosis = 9.27.

The histogram for the number of times the respondent eats out in an average month is positively skewed and not normally distributed. Therefore, it is not normally distributed.

Linearity:

Age vs. Number of times Eaten Out

Scatterplot Interpretation:

A scatterplot indicates linearity when there is a straight line and all data points are scattered along it. The scatterplot displays that the number of times respondents eat out increases as they get older. The relationship between the variables is linear and positive.

Homoscedasticity:

Age vs. Number of times Eaten OutScatterplot Interpretation: The scatterplot displays no fan-like pattern around the regression line, which indicates that the assumption of homoscedasticity is met.

c. Bivariate Correlation and Descriptive Statistics

Age and the number of times eaten out in an average month have a correlation coefficient of.

150, which is a small positive correlation and statistically insignificant (p = .077). The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77.

The scatterplot with regression line shows a positive slope that indicates a small and insignificant correlation between age and the number of times the respondent eats out in an average month.

d. The research study aimed to determine whether there is a correlation between age and the number of meals eaten outside the home. The data were analyzed using a bivariate correlation analysis, scatterplot with regression line, and descriptive statistics. The results indicated a small positive correlation (r = .150), but this correlation was statistically insignificant (p = .077).

The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77. The findings showed that there is no correlation between age and the number of times the respondent eats out in an average month.

Therefore, the researcher cannot conclude that age is a significant factor in the number of times a person eats out. The implications of the findings suggest that other factors may influence a person's decision to eat out, such as income, time constraints, and personal preferences. Further research could be done to determine what factors are significant in the decision to eat out.

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Answer:

2020

Step-by-step explanation:

2020

Answer:

62.50

Step-by-step explanation:

2500 times 2.5% = 62.50

BRAINLIEST PLEASE

Answer:

28.0001

Step-by-step explanation:

im pretty sure

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0

the total amount of potatoes produced in the field is 1.602 megagrams.

To find the area of the rhomboid-shaped field, we can use the formula:

Area = base x height

First, we need to convert the height from decameters to meters, since the base is already given in meters. 1 decameter is equal to 10 meters, so:

Height = 4.5 decameters x 10 meters/decameter = 45 meters

Now we can calculate the area:

Area = base x height = 178 meters x 45 meters = 8010 square meters

Next, we need to convert the area from square meters to square decameters, since the potato yield is given in kilograms per square decameter. 1 square meter is equal to 0.01 square decameters, so:

Area in square decameters = 8010 square meters x 0.01 square decameters/square meter = 80.1 square decameters

Finally, we can calculate the total amount of potatoes produced by multiplying the area in square decameters by the yield per square decameter:

Total potatoes = area in square decameters x yield per square decameter = 80.1 square decameters x 20 kilograms/square decameter

Total potatoes = 1602 kilograms

To convert kilograms to megagrams, we need to divide by 1,000:

Total potatoes = 1602 kilograms / 1000 = 1.602 megagrams

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Answer:

area of square=368.64

l²=368.64

l=19.2

perimeter =4l

4×19.2

so the ans is 76.8

If we want the margin of error for the 90% confidence level to be about 1.5%, then a sample of 3002 is recommended.

In this problem, we want to find n for which  the margin of error for the 90% confidence level to be about 1.5%

From part (a), the 90% confidence interval is (0.435, 0.525)

the margin of error M = 0.015

0.015 = 1.645√(0.48 * 0.52)/n

(√n) ² = (0.015)²

n = 3001.9

n ≈ 3002

Therefore, a sample of 3002 is recommended.

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The complete question is:

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot a ord it. (a) Calculate a 90% con dence interval for the proportion of Americans who decide to not go to college because they cannot a ord it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% con dence level to be about 1.5%. How large of a survey would you recommend?

Answer:

e

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

Answer:

Infinitely many solutions.

Step-by-step explanation:

Given

\(y = -\frac{10}{7}x + \frac{2}{9}\)

\(y = -\frac{10}{7}x + \frac{2}{9}\)

Required

Number of solutions

Substitute \(y = -\frac{10}{7}x + \frac{2}{9}\) in the second equation

\(-\frac{10}{7}x + \frac{2}{9} = -\frac{10}{7}x + \frac{2}{9}\)

Add \(-\frac{10}{7}x\) to both sides

\(\frac{10}{7}x -\frac{10}{7}x + \frac{2}{9} = \frac{10}{7}x -\frac{10}{7}x + \frac{2}{9}\)

\(\frac{2}{9} = \frac{2}{9}\)

The above solution implies that, the equations have infinitely many solutions.

Answer:

26,721

Step-by-step explanation:

8907x3=26,721

Answer:

27,000 miles

Step-by-step explanation:

8709 times 3 is 26,721. 27,000 is the nearest thousandth mile