Given g(x) = -x – 4, solve for x when g(x) = 10.

Answer:

3rd option ==> 5/4

Step-by-step explanation:

5x/4 means that for every time x increases by 1, y increases by 5/4.

5/4 is the coefficient for x.

Answer:

\(\dfrac{5}{4}\)

Step-by-step explanation:

The general slope-intercept form of a line equation is

\(y = mx + b\)

where m is the slope and b the y-intercept

The given line has the equation:
\(y = \dfrac{5}{4}x - \dfrac{7}{4}\)

Comparing the general equation to this equation tells us that the slope

\(\textr{m } = \dfrac{5}{4}\)

and y-intercept

\(b = -\dfrac{7}{4}\)

Simplify the expression.

2m

Given:

A line passes through the points (-6, 8) and (-16, 33).

To find:

The slope of the line.

Solution:

If a line passes through two points, then the slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is

\(m=\dfrac{33-8}{-16-(-6)}\)

\(m=\dfrac{25}{-16+6}\)

\(m=\dfrac{25}{-10}\)

\(m=-2.5\)

Therefore, the slope of the line is -2.5.

Slope of the line passing through the points ( -6,8)  and (-16,33) will be -2.5.

Given information:

The line passes through the points ( -6,8)  and (-16,33).

It is required to find the slope of the line.

Slope of the line passing from two points  \((x_1,y_1) \; and\; (x_2, y_2)\) can be written as

\(m= \dfrac{y_2-y_1}{x_2- x_1}\)

So, the slope of the given line can be calculated as,

\(m= \dfrac{33-8}{-16- (-6)}\\m = \dfrac{25 }{-10} \\m = -2.5\)

Therefore the slope of given line will be -2.5.

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Answer:

30 feet away

Step-by-step explanation:

hope this helps

The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

The confidence interval provides a range of values within which the true population mean height is likely to fall with a 95% level of confidence. It does not provide information about individual orangutans' heights or the sample mean's precise location within the interval.

Therefore, The correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."

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Answer:

see below

Step-by-step explanation:

Susan

4lbs of coffee

2lbs of nuts

Tom

2lbs of coffee

4lbs of nuts

6 hrs per day.

if only coffee x = (4+2)*6=36lbs

if only nuts y = (4+2)*6=36lbs

Answer:

C) 360,000cm

Step-by-step explanation:

50x 40x 1.8 = 360,000

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

\(m_1=\frac{7-0}{3-0}=\frac{7}{3}\)

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

\(y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)\)

The slope of the line joining E(7,0), and F(3,7). is:

\(m_1=\frac{7-0}{3-7}=-\frac{7}{4}\)

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

\(y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)\)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

Answer:

i think 83 %

Step-by-step explanation:

Answer: B.180

Step-by-step explanation:

number of acres = 60

area required for one goat = 1/3 of an acre

number of goats one acre can hold =  3

number of goats her land can support = 60*3 = 180

Answer:

d) m + s = 20

m = 5

Step-by-step explanation:

m + 3s = 50

m + s = 20

m + 3(20-m) = 50

m + 60 - 3m = 50

60 - 2m = 50

60 = 50 + 2m

60 - 50 = 2m

10 = 2m

5 = m

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

2 is the y-intercept and the slope is one

The total number of people received basketball is 323 at 2 Hornets games on a weekend, the team gave out a free basketball to every 90th person who attended the games.

To work out the quantity of individuals who got a ball at the Hornets games, we want to initially find the quantity of participants who might meet all requirements for a b-ball. This is finished by separating the complete number of participants by 90, since the group gives out a b-ball to each 90th individual. For Saturday's down, 16,472/90 = 183.022, and that implies that 183 individuals got a b-ball. For Sunday's down, 12,624/90 = 140.267, and that implies that 140 individuals got a ball. Hence, a sum of 183+140 = 323 individuals got a ball at the two Hornets games throughout the end of the week.

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Answer:

15m

Step-by-step explanation:

When Ana is diving the time=0 therefore just substitute x=0 into h(x) and it will give you 15m

The answer is f(10) = (10, 45).

The function f: Z → Z is defined as f = {(x, 4x+5) : x ∈ Z}, where Z is the set of integers. The domain of f is Z, which is the set of all integers. The codomain of f is also Z, which means that the function maps integers to integers.

The range of f is the set of all possible values that f can take. To find the range of f, we can plug in a few values of x and see what values of f we get. For example, when x=0, f(0) = (0,5), when x=1, f(1) = (1,9), when x=-1, f(-1) = (-1,1), and so on. It appears that the range of f is the set of all ordered pairs of the form (x, y) where y is an odd integer. Thus, the range of f is {(x,y) : x ∈ Z, y ∈ 2Z+1}.

To find f(10), we plug in x=10 into the definition of f: f(10) = (10, 4(10)+5) = (10, 45). Therefore, f(10) = (10, 45).

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Answer:

The total distance the students ran in the race would be 5 1/2 km.

Step-by-step explanation:

2/4 + 3/4 + 2 2/4 + 1 3/4 = 3 10/4 = 5 2/4 = 5 1/2 (Simplified)

The number of people that are below 20 years is 60.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two whiskers and a box. The first line on the box represents the upper quartile. 25% of the observation is below the upper quartile.

In this question, the upper quartile is 20 years

Number of people under 20 years : (25 / 100) x 240 = 60 people

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Answer:

∠ABC= 60°

Step-by-step explanation:

Use the given function to find the \(y\)-coordinate of \(A\).

\(x=2 \implies y = 10+8\cdot2+2^2-2^3 = 22\)

Find the equation of the line through the origin and \(A\). This line has slope

\(\mathrm{slope} = \dfrac{22-0}{2-0} = 11\)

and passes through (0, 0), so its equation is

\(y - 0 = 11 (x-0) \implies y = 11x\)

Then the area of the shaded region is given by the definite integral

\(\displaystyle \int_0^2 (y - 11x) \, dx = \int_0^2 (10 + 7x + x^2 - x^3) \, dx \\\\ ~~~~~~~~ = \left(10x + \frac72 x^2 + \frac13 x^3 - \frac14 x^4\right)\bigg|_0^2 \\\\ ~~~~~~~~ = 10\cdot2+\frac72\cdot2^2+\frac13\cdot2^3-\frac14\cdot2^4 = \boxed{\frac{98}3}\)

Answer:

3.72

Step-by-step explanation:

It should be 3.72 because 37.2 is divided into tenths which means that it is multiplied by 0.1. Which you get 3.72.

Answer:

No solution

Step-by-step explanation:

2- 3x + 4 + x = -2x + 1

2  -3x  + 4 + x = -2x + 1

6  -3x + x = -2x + 1

6  -3x + x = -2x + 1

6  -2x = -2x + 1

6  -2x = -2x + 1

move -2x to the right by adding 2x on both sides

6  -2x = -2x + 1

+2x         +2x

6  =  + 1

is 6 equal to 1?

No, so No solution

The mean, Margin of error at 99% confidence level and 99% confidence interval for the given data is 66.75 inches, 2.73 inches and [64.02, 69.48] respectively.

Mean is the arithmetic average of all the observations.

Mean = Sum of all the observation/ Total no.ofobservation

= 66 + 65 + 74 + 66 + 63 + 69 + 63 + 68 / 8

= 534 / 8 = 66.75 inches

Standard error = Standard deviation / √n

= 3 /√8 = 1.06 inches

Margin of error = Z * Standard error

Where Z, is the critical value (corresponding to the desired confidence level)

Using standard normal distribution we get Zvalue roughly around 2.576.

= 2.576 * 1.06 = 2.73 inches

Confidence Interval = ( Mean - Margin of error), (Mean + Margin of error)

= 66.75 - 2.73, 66.75 + 2.73

= [64.02, 69.48]

Therefore, the mean height is 66.75 inches, the margin of error at 99% confidence level is 2.73 inches, and the 99% confidence interval is  [64.02, 69.48].

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The complete question is:

Suppose the mean height in inches of all 9th grade students at one high school estimated. The population standard deviation is 3 inches. The heights of 8 randomly selected students are 66,65, 74, 66, 63, 69,63 and 68.

Find Mean

Margin of error at 99% confidence level

99% confidence interval

Answer:

y = 5x + 3

Step-by-step explanation:

y - 5x = 3

add 5x to both sides to isolate y

y = 3 + 5x

rearrange to slope intercept form

y = 5x + 3

Answer:

see explanation

Step-by-step explanation:

5x - 2y = x + 14 ( subtract 5x from both sides )

- 2y = - 4x + 14 ( divide the terms by - 2 )

\(\frac{-2}{-2}\) y = \(\frac{-4}{-2}\) x + \(\frac{14}{-2}\) , that is

y = 2x - 7

Answer: 45 per month

Step-by-step explanation:

It shows how much it would cost for 1 year because it shows how much money would cost for 1 month. If you multiple 45 by 12 you would get the amount 1 year would cost.

Answer:

the $45 one

Step-by-step explanation:

en thw well if u look at it the way i am   the $75 one is just for the one and and then a whoul year would be 410 but im probably worng bc i suck at math but i think its right