Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
6543/2
-24
1-3-
J
ہے

Answer:

B. Almost-equals3 × 108 meters

Step-by-step explanation:

I just did the assignment:)

Answer:

B

Step-by-step explanation:

Just took the asignment.

Answer:

3x + 9

Step-by-step explanation:

Answer:

-1342

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 steps

     3.7 = x +(-5) , add 5 to both sides

3.7+ 5 = x + (-5) +5

    8.7 = x , combine like terms

or 1 step

  3.7 = x +(-5), add 5 to both sides and combine like terms

  8.7 = x

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

No

Step-by-step explanation:

This table does not represent a function. The domain(x) can have only one range(y) in order for a set of data to represent a function. However, the domain value 2 has the range of both 1 and 4. Therefore, the table does not represent a function.

Answer:

I am confident the answer is H.

Answer:

Top right

Step-by-step explanation:

Answer:

56.16

Step-by-step explanation:

50.4/2 = 25.2.  61.92/2 = 30.96

Answer:

56.16 m²

Step-by-step explanation:

→ Work out the area of the middle rectangle

7.2 × 7.6 = 54.72 m²

→ Work out the area of the triangle on the left side

0.5 × 7 × 7.2 = 25.2 m²

→ Work out the area of the triangle on the right side

0.5 × 8.6 × 7.2 = 30.96 m²

→ As it asks for the shaded area, add up the triangle area

30.96 + 25.2 = 56.16 m²

Answer:

24.8 gallons of water

Step-by-step explanation:

We Know

A showerhead claims to use 9 gallons of water in 4 minutes.

9 / 4 = 2.25 gallons of water per minute.

If a shower lasts 11 minutes, how many gallons of water were used?

We Take

2.25 x 11 = 24.75 gallons of water

So, the answer is 24.8 gallons of water

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

All the ordered pairs that represent points on the graph of this equation include the following:

A. (-4, 4).

C. (-2, 1)

E. (2, -5)

F. (0, -2)

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

In order to determine the ordered pairs that represent points on the graph of the given function, we would plot its equation by using an online graphing calculator and then read all the ordered pairs that lie on the line.

By critically observing the graph of the given function (see attachment), the solutions are include following;

Ordered pair = (-4, 4).

Ordered pair = (-2, 1).

Ordered pair = (2, -5).

Ordered pair = (0, -2).

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Complete Question:

Which ordered pairs represent points on the graph of this equation? Select all that apply.

2y= –3x–4

(-4, 4)

(7, 6)

(-2, 1)

(0, 7)

(2, -5)

(0, -2)

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

0 < x < 28

Step-by-step explanation:

If a triangle has 2 sides, with lengths 7 and 21, the third side must -

have a length longer than zero and less than (7+21) = 28

so if the 3rd side has length x, then

0 < x < 28

A statement which best describes the resulting three-dimensional figure include the following: D. a cylinder with a base radius of 14 cm.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

Since the rectangle is rotated about line b at a side that has a length of 24 centimeters, the width of the rectangle and base radius of the cylinder can be calculated as follows:

76 = 2(24 + x)

76 = 48 + 2x

2x = 76 - 48

2x = 28

x = 28/2

x = 14 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

42

Step-by-step explanation:

Its impossible tto calculate x there.

But i can simply the expression for you...

42x²-13x+1

Answer:

The standard deviation σ = 0.6122

Step-by-step explanation:

Explanation:-

Given mean of the Population  = 5.5

we know that 95% of confidence interval of Z-score = 1.96

95% of confidence interval for mean in normal distribution

(μ±Z₀.₉₅σ)

(μ - 1.96σ , μ +1.96σ)

given that 95% of confidence interval between 4.3 and 6.7

μ - 1.96σ = 4.3

5.5 -1.96σ  = 4.3

5.5 - 4.3 = 1.96σ

1.2 = 1.96σ

σ = \(\frac{1.2}{1.96}\)

The standard deviation σ = 0.6122

I would have to say its AB<----

But im not 100% sure I wish you luck.

If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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The answer is A

One revolution is equal to the circumference of the tire:

C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}

The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:

4,400div frac{44}{7}=4,400times frac{7}{44}=700

700 revolutions.

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

48.8m

Step-by-step explanation:

Formula for square area = \(a^{2}\) = 148.84 \(m^{2}\)

=> a = \(\sqrt{148.84}\) = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

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There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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