I need help on in the answer to this problem

Answer:

Step-by-step explanation:

Perimeter = 4 x side.

Answer:

Step-by-step explanation:

The perimeter of a square is the sum of its 4 equal sides. Therefore the length of side : perimeter. =1:4

When the given fractions are ordered from the least fraction to the greatest fraction, the results would be:

The best way to order fractions in a list, from their least to their greatest is by converting them to decimals. This allows you to see which fractions are larger than the other.

The fractions in their decimal forms are:

- 4 5:

= -4 ÷ 5

= -0.80

- 3 / 7:

= -3 ÷ 7

= 0.43

2 / 3:

= 2 ÷ 3

= 0.67

1 / 4:

= 1 ÷ 4

= 0.25

The order would be:

-0.8, - 0.43, 0.25, 0.67

In their fraction forms this is:

= - 4/5, - 3 / 7, 1 / 4, 2 / 3

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Answer:

B

Step-by-step explanation:

x² - 6x = 0

x² - 6x + (6/2)² = (6/2)²

x² - 6x + 9 = 9

(x - 3)² = 9

So B

Answer:

-7.225 according to a calculator.

The perimeter of the second park will be 320 feet. The correct option is C.

The perimeter is defined as the sum of all the sides of the object. For a rectangular park, the perimeter will be the sum of all the sides of the rectangular park.

Given that a  park has two rectangular, fenced playgrounds. The first playground has a perimeter of 160 feet.

The perimeter of the first park:-

160 = 2 ( L + W )

L + W = 80

The perimeter of the second park,

P = 2 ( 2L + 2W )

P = 4 ( L + W )

P = 4 x 80

P = 320 feet

Therefore, the perimeter will be 320 feet.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer: The answer is 2

Answer: 120cm

Step-by-step explanation:

Multiply length x width x height

10 x 6 x 2 is equal to 120, so the volume is 120cm or centimetres.

Answer:

10cmx6cmx2cm

6x2=12

12×10=120cm

Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

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Exact form:

2\(\sqrt\ 13\)

Decimal form:

7.21110255 or 7.21

Answer:

11.1803

Step-by-step explanation:

Answer:

1. 12

2. 9

3. 20

4. 10

5. <

6. =

7. >

Step-by-step explanation:

The absolute value is the distance between that number and 0, i.e makes the number positive.

You really should pay attention in class though.

Answer:

Below

Step-by-step explanation:

Each PERIOD is 3 months     there is   4 periods per year

  periodic interest =  .055/4

   effective interest per year would then be

       (1 + .055/4)^4  - 1  = .056144  = ~ 5.61%

Answer:

v=16w

Step-by-step explanation:

v=16w

8=16(1/2)

8=8✔

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Answer:

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The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

Step-by-step explanation:

Let's start by finding the fraction of the garden that George weeded. We know that he weeded 1/5 of the garden, so the fraction that is left is:

1 - 1/5 = 4/5

Now we know that Summer weeded enough to leave 2/3 of the garden still needing to be weeded. This means that she weeded:

1 - 2/3 = 1/3

of the garden.

However, we want to find the fraction of the garden that Summer weeded relative to the total garden, not just the part that was left after George weeded. So we need to express this fraction as a fraction of the total garden.

To do this, we can use the fact that George weeded 1/5 of the garden, or equivalently, 5/5 + 1/5 = 6/5 of the garden. So the total garden is divided into 6 equal parts, each representing 1/5 of the garden.

Since George weeded 1/5 of the garden, there are 5/5 - 1/5 = 4/5 parts of the garden left. This means that 4/5 of the garden is divided into 3 equal parts, each representing 1/3 of the garden (since Summer left 2/3 of the garden to be weeded).

Therefore, the fraction of the garden that Summer weeded is:

1/3 * (4/5) = 4/15

So Summer weeded 4/15 of the garden.

Answer:

Your answer is: 15

Your equation would have f(5) = x^2 + 2x

Substitute the given value into the function and evaluate.

Step-by-step explanation:

Hope this helped ; )

Answer:

15x = 200

Step-by-step explanation:

Why 15x?

We are told that the number of hours is x and that you are earning $15 an hour. If you are earning $15 an hour we have to multiply x by $15 where x is the number of hours you work.

Why = 200?

The headphones cost $200 so the money has to equal to 200 so we would be able to find out how many hours it would take earn $200

Hope this helps, have a lovely day! :)

The representation that would be best for determining the two values that 50 % of the data will lie is C. Interquartile Range

The interquartile range (IQR) is a measure of the dispersion of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. The interquartile range provides a measure of the spread of the middle 50% of the data, as opposed to the range which measures the spread of the entire dataset.

The interquartile range is useful because it is not affected by outliers or extreme values, unlike the range. It is therefore a more robust measure of dispersion and is often used in statistics and data analysis.

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Options for this question include:

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Answer:

y=5x-3

Step-by-step explanation:

y - 2 = 5x - 5 (this is after you distributed)

y = 5x -3 ( this is adding two on both sides)

Step-by-step explanation:

Answer:

22.22%

Step-by-step explanation:

If it is exactly a red, it means that it is removed on the first or second attempt, but only once, in this case it does not matter if it is on the first or second attempt because the marble is returned to the bag.

So suppose that on the first attempt red is drawn, the probability would be:

4 / (3 + 4 + 5) = 4/12 = 1/3

Now, on the second attempt, it is not to draw a red, it must be green or blue, so it would be:

(5 + 3) / (3 + 4 + 5) = 8/12 = 2/3

The final probability then is:

1/3 * 2/3 = 0.2222

that is, the probability is 22.22%

Step-by-step explanation:

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Step 1:

Write the equation

Step 2:

To make x subject of the relation, you will need to solve for x.

Final answer

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r