Evaluate 8x^2 + 2x + 5, when x =7

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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Answer:

D

Step-by-step explanation:

edge

D. approximately 4.3 in. to the right of the center

Problem-solving is the act of defining a problem; figuring out the purpose of the problem; determining, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a teacher may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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1- It was 15:43 in Paris when the plane arrived.

2- It will arrive in the airport at 03:12.

3- It was 10:39 AM when I arrived in Cebu City.

1. Given that the flight where you are, Flight 122, departed from Manila when it was 4:13 PM it arrived in Paris, France, and this flight lasted 30 hours and 30 minutes, to determine what time it was in Paris upon the Night's arrival there the following calculation must be performed:

Therefore, it was 15:43 in Paris when the plane arrived.

2. Given that your father's flight, Flight 783 departed from Oslo, Norway when it is 7:12 AM there, and it will land in Bacolod-Silay Airport after a 28-hour travel, to determine what time it will arrive in the airport using the Philippine Standard Time the following calculation must be made:

Therefore, it will arrive in the airport at 03:12.

3. Given that when your family arrived at the airport, you looked at your watch and it was 5:45 am, exactly 3 hours before your next flight to Cebu City, to determine, if your next flight left on time and took exactly 114 minutes, what was the time on your watch when you arrived in Cebu City, the following calculation must be performed:

Therefore, it was 10:39 AM when I arrived in Cebu City.

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Answer:

He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.

Step-by-step explanation:

1/4=25%=.25

Multiply 5 by .25

5*.25=1.25

Subtract 1.25 from 5

5-1.25=3.75

1.25 gallons for bathroom

3.75 gallons for kitchen

Hopefully this was helpful.

Answer:

The answer is

\( \frac{5}{8} \\ \)

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(0, 4) and (−8, −1)

The slope is

\(m = \frac{ - 1 - 4}{ - 8 - 0} = \frac{ - 5}{ - 8} = \frac{5}{8} \\ \)

We have the final answer as

\( \frac{5}{8} \\ \)

Hope this helps you

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

---------------------------------------------------------

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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The profit made as a function of x ;

Let :

Number of units produced = x

Profit per unit = $3

Fixed cost = $17,000

Total profit made : Revenue - Cost of production

Profit, P(x) = (profit per unit × number of units) - Fixed cost

Profit, P(x) = 3x - 17,000

B.)

When x = 20,000

P(20000) = 3(20000) - 17,000

Profit = 60000 - 17,000

Profit = 43,000

When x = 5000

P(5000) = 3(5000) - 17,000

Profit = 15000 - 17,000

Profit = - 2000

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The total profit as a function of x is P(x) = 3x - 17,000

(A) The profit is $43,000

(B) The loss is $2,000

The given parameters;

The following equations will be set up as follows;

Total cost price = 17,000 + x(y)

Total selling price = x(y + 3)

The total profit as a function of x is calculated as;

total Profit = total selling price - total cost price

total Profit = x(y+3) - 17,000 - xy

total Profit = xy + 3x - 17,000 - xy

total Profit = 3x - 17,000

P(x) = 3x - 17,000

(A) The profit or loss when x = 20,000 units are produced;

P(20,000) = 3(20,000) - 17,000

P(20,000) = 60,000 - 17,000

P(20,000) = $43,000

The profit is $43,000

(B) The profit or loss when x = 5,000 units are produced;

P(5,000) = 3(5,000) - 17,000

P(5,000) = 15,000 - 17,000

P(5,000) = - $2,000

The loss is $2,000

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1.  you are asked to find how many weeks it would take Alex to work 51 hours.

2. Alex  works  \(3\frac{1}{7}\) weeks.

3. It makes sense in fractional from.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

Alex works 3 hours a day and 4 days a week.

Alex works in a week = ( 3×4) hour = 12 hour

Alex  works = 51 hours = 48 hours + 3 hours = (48/12) weeks + 1 day

= 3 weeks and 1 day.

= \(3\frac{1}{7}\) weeks.

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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a) The parabola is open downward (its turned into the direction of the negative sector)

b) The y-intercept is the value of y when x = 0.

In this case, we have: y-intercept: 3

The x-intercept is the value of x when y = 0.

In this case, we have: x-intercepts: -6, 2

c)

The vertex is the maximum point of the parabola. In this case, the vertex is: (-2,4)

d) The axis of symmetry is the one that can divide the parabola into two equal parts whose each one is the reflection of the another over the axis.

In this case, the axis is the vertical line passing through the vertex. Therefore, the axis is x = -2

Answer:

65 degress

Step-by-step explanation:

I did a problem like this before

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer:

Therefore, the measure of angles x is 70°.

Step-by-step explanation:

From the given figure ,

115° is the exterior angle

x° and 45° are the two interior opposite angles to 115°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 45° = 115°

⇛ x° = 115°-45°

⇛ x° = 70°

Therefore , x = 70°

Answer:

B( 11

Step-by-step explanation:

90-35 = 55

55÷5 = 11

X equals 11

Answer:

B. AC

Step-by-step explanation:

The inequality no greater than mean at most or maximum.

The inequality can be written as,

Thus, the above inequation represents the given inequality.

The probability of getting 14 successes out of 19 trials with a probability of success of 0.8 is approximately 0.0572.

Using the binomial probability formula, we have:

P(X=14) = (n choose x) * pˣ . (1-p)⁽ⁿ⁻ˣ⁾

Plugging in the values, we get:

P(X=14) = (19 choose 14) x 0.8¹⁴ x 0.2⁵

P(X=14) ≈ 0.0572

Therefore, the probability of getting 14 successes out of 19 trials with a probability of success of 0.8 is approximately 0.0572.

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Answer: Because they are corresponding angles (second option is the answer).

Answer:

second option...because they are corresponding angles..

STEP BY STEP EXPLANATION: corresponding angles are formed when two parallel lines are intersected by the transversal

the corresponding angles are 2 and 6

Answer:

5/8

Step-by-step explanation:

You can divide both numbers by 2! Thus making 5/8 10/16's lowest term!

Have a great day and remember to take breaks! I'm proud of you! :D

The system of inequalities having the given feasible regions and points at (-5, 0), and (0, 5), and (-2, -9), (-5, 0), and (1, 0) is the option;

y > x² + 4•x - 5

y > x + 5

The coordinates of the given points on the linear inequality are;

(-5, 0), and (0, 5)

Slope, m, of the linear inequality is therefore;

m = (5 - 0)/(0 - (-5)) = 1

The equation of the inequality is therefore;

y - 0 > 1•(x - (-5)) = x + 5

Which gives;

Quadratic Inequality;

The coordinates of the points on the quadratic inequality are;

Vertex point = (-2, -9)

x-intercept = (-5, 0), and (1, 0)

Therefore, we have;

y > (x + 5)•(x - 1) = x² + 4•x - 5

The correct option is therefore;

y > x² + 4•x - 5

y > x + 5

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Answer:

y > x2 + 4x – 5

y > x + 5

Step-by-step explanation:

If you put this system into desmos you will see that it matches the photo shown in the question, and it would need to be both greater than symbols because the dotted lines indicate that it is not included in the solution.

Answer:

70 degrees

Step-by-step explanation:

it’s a bit hard to explain

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

Step-by-step explanation:

f-1(Exponet) (x)= x/3-2.

Answer:

64 cups in 4 gallons.

Step-by-step explanation:

4 gallon = ___ cups

Firstly, there are 16 cups in a gallon. We have four gallons.

So we have to multiply the amount of cups in a gallon by the amount we have.

16x4 represents this sentence.

So, you have 64 cups in 4 gallons.

Answer:

Step-by-step explanation:

There can be many explanations to this, but I do need more information. It could be 12x-2.5, 48x-10. See what I mean?

Answer: 203

Step-by-step explanation:

4n by 6h and 24x