Which equation best matches the scenario below?

The total cost t is proportional to the number n of items purchased at a constant price of $4.

A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n

Answer:

12,180

Step-by-step explanation:

got

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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Answer:

its 34

Step-by-step explanation:

you just add

Answer:

330

Step-by-step explanation:

123.75 : 15= 8,25--> the money you earn in one hour.

8,25 x 10= 82,50--> the money you earn in 10 hours.

247,50 (30h) + 82,50 (10h)= 330 (40h)

:)

Answer:

y = 4x

Step-by-step explanation:

Using two points, (1, 4) and (2, 8),

Slope = \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 4}{2 - 1} = \frac{4}{1} = 4 \)

m = 4

Substitute m = 4, x = 1, and y = 4 into y = mx + b.

Thus:

4 = (4)(1) + b

4 = 4 + b

4 - 4 = b

0 = b

b = 0

To find the equation, substitute m = 4 and b = 0 into y = mx + b

Thus:

y = (4)(x) + 0

y = 4x

Answer:

The width is 36 feet

Step-by-step explanation:

If the width of the fence is x then its length is x+3.

The perimeter is 150 feet, so we have the equation:

2(x + x + 3) = 150

4x + 6 = 150

x = 144/4 = 36 feet

Answer:

1 : 2

Step-by-step explanation:

First situation

sides of triangle:-

a=x, b=2x, c=3x

then perimeter = a+b+c

perimeter = x + 2x + 3x

Perimeter = 6x

Second situation(sides are doubled)

sides of triangle:-

a=2x, b=4x, c=6x

then perimeter = a+b+c

perimeter = 2x + 4x + 6x

Perimeter = 12x

Ratio of first situation to second

Perimeter of first situation : Perimeter of second situation

6x : 12x

1 : 2

Answer:

x = 16

Step-by-step explanation:

sqrt x   + 3  = 2 sqrt x - 1         subtract sqrt x from both sides

3    =   sqrt x   -1                    add 1 to both sides

4 = sqrt x               square both sides

16 = x

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

Answer:

4\(\sqrt{2}\) cm AND 2\(\sqrt{2}\) cm

Step-by-step explanation:

The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get \(\sqrt{32}\) = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4\(\sqrt{2}\), which is the length of the diagonal. Don't forget your units! (:

For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2\(\sqrt{2}\). Once again, don't forget your units! (:

If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

8:39

Step-by-step explanation:

because when simplified, all the rest are 1:5

Answer:

368

Step-by-step explanation:

8*46

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

The radius of the cylinder is 8 inches.

Given,

In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches.

We need to find the radius of the container to the nearest 10th of an inch.

A cylinder is a three-dimensional solid that has two parallel bases joined by a curved surface, at a fixed distance.

The volume of a cylinder is given by:  π r² h.

The relation between the radius of the base and the height of a cylinder is that the ratio between the radius of the base and the height of a cylinder is 2:3.

We have,

The container will have a height of 12 inches.

The container is like a cylinder.

Height of the cylinder = 12 inches.

Using the relationship between radius and height of a cylinder.

= Radius: Height

= 2 : 3

Let radius be 2x and height be 3x.

We have,

Height = 3x = 12 inches.

Radius = 2x

Find the value of x.

3x = 12 inches

x = 12 / 3 inches

x = 4 inches.

Now,

Put x = 4 inches in radius =2x.

Radius = 2x

Radius = 2 x 4

Radius = 8 inches.

Thus the radius of the cylinder is 8 inches.

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Liza is buying a bicycle, the information she has is ;

The less the weight of the bicycle, the higher the cost of the bicycle.

The factors to take notice are :

-weight of the bike

-cost of the bike

If weight is less, the bike is more expensive.

The cost of the bicycle is a function of its weight in that the two items have an inverse proportion relationship. This is to say that, as one item decreases, the other one increases. When weight reduces, the cost increases.

Answer : C. The cost of the bicycle is a function of its weight.

Answer:

B

Step-by-step explanation:

184*88=16,192

Given :

To find :-

Solution :-

As we know that :-

To find the rate :-

Differenciate :-

Substitute :-

Answer:

Each friend gets 3 cards

Step-by-step explanation:

Divide 15 by 5 since he is splitting 15 cards with 5 friends.

:D

Answer:

9.936

Step-by-step explanation:

In(x+5)*x=5

ln(x^2+5x)=5

e^5=x^2+5x

148.4131=x^2+5x

x^2+5x-148.4131=0

x is 9.936 because logs can't be negative

Answer:

4021/68 = 59.13

Step-by-step explanation:

Hope this helps you out!!!

Answer: 59.1323529412

Step-by-step explanation:

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Answer: recantagle

Step-by-step explanation:

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

28

Step-by-step explanation:

subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28

Answer:

ah P00

Step-by-step explanation:

Answer:

(y-6)*(y-4) = 0

Step-by-step explanation:

If the polynomial zeroes are 4 and -3 then the factors of the polynomial are (y - 4) and (y + 3). Then the polynomial is y² - y - 12.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The roots of the polynomial factors are 4 and -3.

Then the polynomial factors will be (y - 4) and (y + 3).

Then the polynomial will be

(y - 4) (y + 3)

y² - y - 12

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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