Find a solution to the linear equation 4x + 2y = 8.

Answer:

A

Step-by-step explanation:

Area = 1/2 * b * h

b = 4 in

h = 2.5 inches

Area = 1/2 * 4 * 2.5

Area = 2 * 2.5

Area = 5 in^2

x = 5/3

x = - 5/3

i believe this is the answer

The translational speed of a cylinder is 15.02 m/s.

For this question, we will use the Law of Conservation of Energy.

At the top the energy of the cylinder is E1, and at the bottom of incline - it is E2. Using the law, we can write

                                                          E1 = E2 .

where,

E1 = mgh (the potential energy of the cylinder)

E2 = E(tr) + E(rot) (the total kinetic energy of the cylinder)

E(tr) = \(\frac{1}{2}mv^{2}\) (the translational energy)

E(rot) = \(\frac{1}{2}Iw^{2}\) (the rotational energy)

\(I = \frac{1}{2}mR^{2}\)(moment of inertia of the cylinder)

\(w = \frac{v}{R}\) (angular velocity of the cylinder)

Now, substituting the values, we have:

mgh = \(\frac{1}{2}mv^{2} + \frac{1}{4}mR^{2} (\frac{v^{2} }{R^{2} } ) = \frac{3}{4}mv^{2}\)

From this equation, translational velocity, v:

v = \(\frac{\sqrt{4gh} }{3}\) = \(2\frac{\sqrt{gh} }{3}\)

Plugging in the values of g and h,

g = 9.8 \(m/s^{2}\), h = 7.20m

v = 15.02 m/s

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Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Step-by-step explanation:

Well, you are asked for the first step, and it depends. But for this equation,

5m+4-2m=4m-9+3m+1

You have to subtract both sides by 3m, and subtract both sides by 4m. You also need to subtract both sides by 4.

Answer:

Warning! The person above me is WRONG.

D is INCORRECT.

The correct answer is C.

Explanatory variable: player weight

Response variable: player 40-yard-dash time

The explanatory variable is the player's weight

The response variable is the player's 40-yard dash.

Option C is the correct answer.

An explanatory Variable is a causal variable, which affects the other variable.

The response Variable is the resultant variable, which is affected by the other variable.

We have,

Football coaches running their summer practices noticed that the players who weighed more typically had slower times for their 40-yard dash.

We need to find what causes the player to have slower times.

The weight of the players causes the players to have slower times.

So,

Player weight is the explanatory variable and the response variable is the time for their 40-yard dash.

Thus,

The explanatory variable is the player's weight

The response variable is the player's 40-yard dash.

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The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Given:

The point is (-6,5).

It is on the terminal side of theta.

To find:

The values of \(\sin\theta\) and \(\cos \theta\).

Solution:

In the point (-6,5),

x-coordinate : x=-6

y-coordinate : y=5

So, \(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{(-6)^2+(5)^2}\)

\(r=\sqrt{36+25}\)

\(r=\sqrt{61}\)

Now,

\(\sin \theta=\dfrac{y}{r}\)

\(\sin \theta=\dfrac{5}{\sqrt{61}}\)

\(\cos \theta=\dfrac{x}{r}\)

\(\cos \theta=\dfrac{-6}{\sqrt{61}}\)

Therefore, the required values are \(\sin \theta=\dfrac{5}{\sqrt{61}}\) and \(\cos \theta=-\dfrac{6}{\sqrt{61}}\).

Answer:

What is this what grade are you in

In order to have a function, every x value can have only one corresponding y value.

Looking at the points, we have that each value of x has only one value of y (there isn't a value of x that has two or more corresponding values of y).

Therefore these ordered pairs are a function.

Answer:

6.57m i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part (d)

If xy > 0, then the two items x and y must have the same sign.

Examples where x,y are both positive

Examples where x,y are both negative

This places us in either the first quadrant or third quadrant (Q1 and Q3)

======================================================

Part (e)

If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.

Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.

======================================================

Part (f)

If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).

Answer:

(d)  The set of all points in quadrants I and III (x and y have the same sign).

(e)  The set of all points below the x-axis.

(f)  The set of all points on the y-axis.

Step-by-step explanation:

The Cartesian plane is divided into four quadrants.  

Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.

Part (d)

For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.

Therefore, the description that satisfies the given condition is:

Part (e)

For y < 0, y is always negative.

Quadrants III and IV are below the x-axis.

Therefore, the description that satisfies the given condition is:

Part (f)

The only place where x = 0 is the y-axis.

Therefore, the description that satisfies the given condition is:

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

the 4th one hope right

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

Answer:

\(1 - (7 - 4x) = 9 \\ 1 - 7 + 4x = 9 \\ - 6 + 4x = 9\)

and 6 to either sides:

\(( - 6 + 4x) + 6 = 9 + 6 \\ 4x = 15\)

divide all sides by 4:

\( \frac{4x}{4} = \frac{15}{4} \\ \\ { \underline{ \underline{x \: \: is \: \: \frac{15}{4} }}}\)

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

Answer:

Step-by-step explanation:

Formula

r = amount / time

Givens

amount = 3/10

time = 2/5

Solution

r = 3/10 // 2/5

Invert the denominator (2/5) and multiply rather than divide.

r = 3/10 * 5/2    Cancel 5 into the 10

r = 3/2 * 1/2

answer: r = 3/4 chord / hour

people left handed = 8

people right handed = 22

total people = 30

percentage left handed = 8 / 30 = 4 / 15 = 0.267 = 26.7%

percentage right handed = 22 / 30 = 11 / 15 = 0.733 = 73.3%

difference = 73.3% - 26.7% = 46.6%

Answers:

percentage left handed = 26.7%

percentage right handed = 73.3%

difference between them = 46.6%

Answer:

60%

Step-by-step explanation:

Answer:

(25)^2*(9)^2*(4squreroot2)^2*(7squreroot2)^2

Step-by-step explanation:

5^4*3^3*2^5*343

=(25)^2*(9)^2*(4squreroot2)^2*(7squreroot2)^2

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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Answer:

30 servings

Step-by-step explanation:

6 sandwiches times 5 servings each equals 30 servings total

Hope this helped !

Answer:

yes

Step-by-step explanation:

1.1 = 1 1/10 and 3/4 = 0.75

The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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It takes 400 years for $600 to earn $72 at the rate of 0.03 percent annual

"Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

The formula for calculating Simple interest

I=PRT

Where I is the Interest

P=Principle amount

I is interest Amount

R is rate of interest per year as a percent

T is time period involved

P=600

I=72

r=0.03%

t=?

I=PRT

Plug in the values P, R and I

72=600×(0.03%)×T

72=600×0.0003×T

72=0.18×T

400=T

Hence it takes 400 years, for amount  $600 to earn $72 at the rate of 0.03 percent annual.

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Answer:

D

Step-by-step explanation:

As

\(\frac{8}{8}\)

because the rate is of

1/8 and

8/8=1