The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 1/4
full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to the lowest terms.

Answer:

the blue line is y=1/2x.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following expression

We operate and we have

The graph of the transformed function can be seen at the end of the answer.

First, we have the function:

\(h(x) = \sqrt[3]{x}\)

Then we reflect that function over the y-axis (or the line x = 0), so this reflection changes the sign of the variable, then we et:

\(f(x) = \sqrt[3]{-x}\)

And then we translate the function 2 units down, so we get:

\(f(x) = \sqrt[3]{-x} - 2\)

Then the graph of f(x) is the one you can see below.

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Answer:

this b

Step-by-step explanation:

Answer:

8(7) = 56

Step-by-step explanation:

The question is telling us that we are to multiply 8 and 7 together. So we have 8 x 7, which equals to 56.

Answer:

What we suppose to be answering?

Step-by-step explanation:

Answer:

65 kg of water is 65k kg of grams

Answer:

The slope of the tangent line at x = 1 is -25.

Step-by-step explanation:

We are given the function:

\(f(x)=-7x^3-8x+2x^2\)

And we want to find the slope of the tangent line at x = 1.

The slope of the tangent line at a point for a function is given by its derivative. Find the derivative of the function:

\(f'(x)=-21x^2+4x-8\)

Then the slope of the tangent line at x = 1 is:

\(f'(1)=-21(1)^2+4(1)-8=-25\)

Answer:

y = 5/2 x+19

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 5/2 x+b

Substituting the point into the equation

4 = 5/2(-6) +b

4 = -15+b

Add 15 to each side

19 =b

The equation is

y = 5/2 x+19

Answer:

i think its 3 im not sure

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30/30

→ [ x = -1 ]

Hence, the value of x is -1.

Answer:

Which of the following expressions result in −4? Select three that apply. A −20⋅0.2 B −6⋅1.5 C −24⋅82 D −13⋅242 E 52⋅(−85) F 4⋅(−114)

Step-by-step explanation:

F 4-(-114)

Answer:

F 4-(-114)

Step-by-step explanation:

k>6 or this is the interval notation [6,*infiniti sign*)

Step-by-step explanation:

this > needs to have a line under i just couldnt find it. hopefully this helps you though

i solved this for K

Answer:

Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is 2.15

The angle made by one chord and tangent of the circle is 32.5 degrees.

What is the Alternate Segment Theorem?

The Alternate Segment Theorem is a theorem in geometry that relates the angles formed by a line that is tangent to a circle and a chord of that circle. The theorem states that the angle formed by a tangent and a chord of a circle is equal to the angle that is subtended by the chord in the opposite segment of the circle

In a circle, the angle formed by a chord and a tangent that intersect at a point on the circle is equal to half the measure of the arc intercepted by the chord.

Therefore, if the arc intercepted by the chord is 65 degrees, then the angle formed by the chord and the tangent is half of 65 degrees, which is:

65 degrees / 2 = 32.5 degrees

So, the angle X made by the chord and the tangent is 32.5 degrees.

Therefore, the angle made by one chord and tangent of the circle is 32.5 degrees.

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\(x^{0}\) has a value of \(27.5\) degrees.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, fairness, harmony, and charity. When considering values, it might be helpful to categorise them into one of three categories: Personal values are those that an individual upholds.

Values come in two varieties. They serve as either terminal or auxiliary values for Rokeach. Terminal values always are end-states whereas qualities are always forms of conduct. Individuals think that acting in line with cognitive factors and reaching terminal values are always related.

We find the value of \(x^{0}\)

\(Angle P = 1/2 (mAC-AB)\)

\(x^{0}=\frac{1}{2} (120^{0}- 65^{0} )\)

\(x^{0} =\frac{1}{2}*55^{0}\)

Therefore, \(x^{0}= 27.5^{0}\)

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The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.

Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:

(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)

Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:

Six runs were scored by Kim's squad in the first four innings.

The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:

Eight innings times the number of runs per inning is eight runs for Kim's team overall.

Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:

The other team scored a total of 17 runs.

Combining everything, we may represent the inequality as follows:

Total runs scored by Kim's team surpasses all other teams' total runs.

8p + 6 > 17

When we reduce the inequality, we obtain:

8p > 11

When we multiply both sides by 8, we get:

p > 11/8

In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.

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Answer:

6+4p>17

Kim's team scored a minimum of

3 runs per inning.

Step-by-step explanation: Khan Academy

In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.

Congruency Requirements:

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side) 

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

4.8%

Step-by-step explanation:

Given that :

Stock beta (B) = 1.5

Expected return = 16.35% = 0.1635

Maeket rate of return (Rm) = 12.5% = 0.125

Risk-free rate of return (Rf) =?

Using the relation :

Expected rate of return = risk free rate + Beta(market rate - Risk-free rate)

Expected rate of return = Rf + B(Rm - Rf)

Plugging our values :

0.1635 = Rf + 1.5(0.125 - Rf)

Open the bracket

0.1635 = Rf + 0.1875 - 1.5Rf

Collect like terms

0.1635 - 0.1875 = Rf - 1.5Rf

−0.024 = - 0.5Rf

Divide both sides by - 0.5

0.024 / 0.5 = Rf

Rf = 0.048

Rf = 0.048 * 100% = 4.8%

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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Answer:

C, -8

Step-by-step explanation:

Subtract 5 from both sides then divide -7 to both sides to get X = -8

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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The area of the fenced in rectangle with width x is f(x)= 22x - 2x². the value of x should not be 11.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The perimeter of a rectangle = 2L + 2W, which given as 22 feet

where L is the length and W is the width,

2L + 2W = 22

L + W = 11

If the width of the rectangle is x feet, then the length would be (22 - 2x).

The area of the rectangle (A) is calculated as;

A = L x W

A function to find the area, in square feet, of the fenced in rectangle with width x is given by;

f(x)= x(22-2x)

f(x)= 22x - 2x²

Hence, the area of the fenced in rectangle with width x is f(x)= 22x - 2x². the value of x should not be 11.

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The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

hhejhdhjdjdi8338ur773uj8irurji9e9ij3j39

(a):112

(b):396

(c):360

(d):30

(e):1664

(f):240

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4