How do you do the second part of the problem?

The total cost for the family of four is $944

Cost denotes the amount of money that a company or a person spends on the creation or production or acquiring of goods or services.

Here the family needs the service if transportation.

The cost of adult is $280. Out of four members , two are under 3years. This means the total cost for adult is 2 × 280 = $560

The cost of under 3 is ⅔ of the cost of adult.

= ⅔ × 280= $192

The cost of the two under 3 = 2 × $192 = $384

therefore the total cost for the family is $560 +$384 = $944

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The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

The seedlings grew by 7/6 inches in the first 2 weeks.

What is LCM ?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

Let' assume the growth of seedling was 'nil' at the beginning.

According to the situation,

In the first week it grew by 1/3 inches and,

In the next week it grew by  5/6 inches.

So, we can say that the total growth will be the sum of growth in the first and second week.

Hence, total growth would be 7/6 inches (i.e. 1/3 + 5/6).

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The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

$38.89.

Step-by-step explanation:

In this problem we have a quadratic equation, which, as you may already know, consists on a curve that has a maximum or minimum value, depending whether the x^2 value has a positive of negative sign before it.

In this case, the equation has a negative sign, which indicates that his function has a maximum point, which is the same point we are looking for in order to get the price widgets should be sold for, for the company to make the maximum profit. Now that we know that, let's go ahead and find the maximum value of the function. I'm gonna solve this on a digital board and attatch the images to this answer.

If you don't feel familiar with the process of taking derivatives, I suggest you watch some videos of explanations of this topic. Also, you can use Ron Larsson's Calculus books to practice derivation. Good luck!

Answer:

Freezers made up \(\frac{6}{25}\) = 24% of the appliances sold in January.

Step-by-step explanation:

We have that:

10 + 8 + 12 + 12 + 8 = 50 parts were sold in January.

Freezers made up what part of the appliances sold in January?

12 of those were freezers, so:

\(\frac{12}{50} = \frac{6}{25} = 0.24\)

Freezers made up \(\frac{6}{25}\) = 24% of the appliances sold in January.

Answer:

TU = 28.5

Step-by-step explanation:

The triangles are congruent because of side-angle-side

TU = VU because corresponding sides of congruent triangles are congruent.

so:

3x + 9 = 7x - 17

simplify:

4x = 26

x = 6.5

TU = 3(6.5 + 9) = 19.5 + 9 = 28.5

Answer:

3x+9=7x-17

26 = 4x

x=6.5

TU:28.5

To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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1.

6x - 16 = 14x + 8

the question above can be solved by simply collecting like terms and solve for x

step 1

collect like terms by carrying 6x to the right hand side and taking 8 to the left hand side

however, note that the sign changes when they cross equality sign

proceed to divide both sides by 8 to solve for x

2.

9y + 21 = 3y - 5

step 1

collect like terms

step 2

divide both sides by 6

3

5n + 7 + 3n = -8 + 3n

step 1

4

6d - 1 = -d + 20

5

3b + 8 - 5b = 2(4 - b)

step 1

open the bracket on the right hand side and collect like terms

6

-11 - 2p = 6p + 5(p + 3)

-11 - 2p = 6p + 5p + 15

10

h + 3(h - 2) = 2(2h -3)

step 1

simplify by opening the bracket

7

7w - 3(

Answer and explanation:

The political scientist is investigating "proportion of adult residents

..." and so the subjects of his study can only be found among adults. The units are therefore all adults, including registered adults. The frames can include census data showing adults in a particular area, telephone directories, registered voters in the area etc. If the researcher chooses to use personal interview in collecting data for his research, he would easily get response and also be able to explain questions out more, also there is the benefit of less corrupted data. Using telephone interview would save the researcher and respondents costs as there is no need to travel and the researcher could still explain out questions properly. If the researcher chooses to collect data through mailing respondents, there is alot more flexibility as respondents can reply at their convenience and when they are ready, also subjects may wish to not disclose identity with this data collection method

Answer: 3.3= .033 percentage. .033 times 34000=1112 times (t) time (10 years) equals 11120

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

Step-by-step explanation:

P=2(a+b)

2(26+25)

=102 ans

Answer:

102 cm

Step-by-step explanation:

P=2(a+b)

P = 2(26+25)

= 2 * 51

= 102

Answer:

That is simple but instead of asking strangers for help that could make you get it wrong ask your parents for help.

Step-by-step explanation:

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

Answer:

68 kg

Step-by-step explanation:

Using the Z- Distribution table, The answer is c) that is 0.7929.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

Following the Z-table,

P(-0.86<x<2.25) = 0.79288

The answer is c) 0.7929

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Answer:

Step-by-step explanation:

Hello,

\((a^{1/3}-a^{-1/3})^3=a-3a^{1/3}+3a^{-1/3}-\dfrac{1}{a}=-3x+a-\dfrac{1}{a}\\\\<=> x^3+3x=a-\dfrac{1}{a}\)

Thanks

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

Answer:

-21.1 and 24.1

Step-by-step explanation:

-8.2*4 + 3.9*3=-21.1

5.1*3 - (-2.2*4)=24.1

Answer:

y = 3/4x - 2

General Formulas and Concepts:

Pre-Alg

Algebra I

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step-by-step explanation:

Step 1: Define points

Find some points from the graph.

y-intercept (0, -2)

Point (-4, -5)

Step 2: Find slope m

Step 3: Write linear equation

y = 3/4x - 2

Since each year cost $8,800 for two years tuition he will need $17,600 then if he want to save at least this much in five years according to the table he needs to save $200 monthly

The dimensions of the rectangle are:

Length = 10 m

Width = 6.5 m

Recall that the area of aa rectangle is given as, length × width.

Given the following:

Area of the rectangle = 65 m²

Let the width of the rectangle be represented as w.

Length of the rectangle = 2w - 3 m

Therefore:

(2w - 3)(w) = 65

Expand:]

2w² - 3w = 65

2w² - 3w - 65 = 0

Factorize:

w = 6.5 or w = -5

The width cannot be negative, therefore, the width = 6.5 m.

Length of the rectangle = 2w - 3 = 2(6.5) - 3 = 10 m

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