Which expressions are equivalent to 4m -2 +(-8m) choose all that apply

The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

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The approximation for each of the given function and interval below is 1.12

The term function refers the special relationship where each input has a single output.

Here we have given that (a) R5, f(x) = x2 + x on the interval [−1,1]

And we need to find the the approximation for each of the given function and interval

Here we want to to calculate the right-endpoint approximation (the right Riemann sum) for the function:

=> f(x) = x² + x

For the interval [-1, 1] using five equal rectangles.

Let us find the width of each rectangle:

=> Δx = (1 - (-1))/5 = 2/5

Now, we have to list the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

=> -1, -3/5, -1/5, 1/5, 3/5, 1.

Here we are find the right-hand approximation, we use the five coordinates on the right.

Then we have to evaluate the function for each value. This is shown in the table below.

And then each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5.

Therefore, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

=> R₅ = 2/5 [-0.24  - 0.16 + 0.24 + 0.96 + 2] = 1.12

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Answer:

∠AFB is adjacent

Step-by-step explanation:

To get the same output in SPSS, you would need to input the following 30 variables in the data editor:

ID

Height1

Height2

Height3

Height4

Height5

Height6

Height7

Height8

Height9

Height10

Height11

Height12

Height13

Height14

Height15

Height16

Height17

Height18

Height19

Height20

Height21

Height22

Height23

Height24

Height25

Height26

Height27

Height28

Height29

In this case, "ID" represents the identification number of each student, and "Height1" to "Height29" represent the height of each student in the sample.

To perform the one-sample t-test and obtain the output, follow these steps in SPSS:

Go to "Analyze" > "Compare Means" > "One-Sample T Test"

Select the variable "Height1" to "Height29" and move them to the "Test Variable(s)" box

Enter "170" in the "Test Value" box

Click "OK"

The output should then appear in the "Output Viewer" window.

The general solution to the differential equation based on the information is y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)

Based on the information, dy/dx + 3y = 2x³ e^(-3x)

The integrating factor is e^(∫3 dx) = e^(3x),

e^(3x) dy/dx + 3e^(3x) y = 2x^3 e^(3x - 3x)

d/dx (e^(3x) y) = 2x^3

e^(3x) y = ∫2x^3 dx = (1/2)x^4 + C

C is an arbitrary constant of integration.

y = (1/2) x^4 e^(-3x) + C e^(-3x)

The equation will be y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)

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160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Step-by-step explanation:

Number of Similar Preferences                  Number of Married Couples

All four                                                                29

Three                                                                 124

Two                                                                     120

One                                                                     66

None                                                                  36                            

Total                                                                      375                        

We want to determine the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Probability is calculated by favorable outcome divided by the total outcome.

Similarly we obtained the probabilities of the couples that they will have 0, 1, 2, 3, or 4 personality preferences in common.

Oprion B is correct

12.8 mmHg

Fall in the atmospheric pressure (in mb) in 1 hour= 3.4 mb

1013 mb = 760 mmHg

1 mb = 760 /1013 mmHg

1 mb = 0.75025 mmHg

Fall in the atmospheric pressure (in mmHg) in 1 hour = 3.4 x 0.75025

Fall in the atmospheric pressure (in mmHg) in 1 hour = 2.55085 mmHg

Drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours = 2.55085 x 5

Drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours = 12.75 mmHg

Drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours =12.8 mmHg (rounded to 1 decimal place)

Answer:

answer is 4. each square is 0.5

Step-by-step explanation:

The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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Answer:

22

Step-by-step explanation:

Answer:

5x^4+7x^3-6x^2

Step-by-step explanation:

\((x^{2} +2x)(5x^{2} -3x)\\\= 5x^{4}-3x^{3} +10x^{3} -6x^{2}\\= 5x^{4}+7x^{3} -6x^{2}\)

Answer:

2200

Step-by-step explanation:

1/10 of 2000 is 200. add it on top of 2000

Answer:

8.2

Step-by-step explanation:

(4.5)^2+(6.9)^2=c^2

20.25+47.61=67.86

sqrt of 67.86= 8.2 (rounded already) :)

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Leonard total purchase is $520,452.

The correct option is (C)

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value

Given:

There are 61 new Ford Transits.

If each Ford Transit costs Leonard $8,532.

Then, total purchasing will be

=8532*61

= $520,452.

Hence, Leonard total purchase is $520,452.

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The total number of teachers are there in the school is 125 if In an elementary school, 20% of the teachers teaching advanced writing skills option (b) is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

In an elementary school, 20% of the teachers teach advanced writing skills.

From the data:

= 20%

= 2/10

25 is 20%

= 25x5

= 125

Thus, the total number of teachers are there in the school is 125 if In an elementary school, 20% of the teachers teach advanced writing skills option (b) is correct.

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Answer:

Step-by-step explanation:

You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.

If that is so, then <M and <X are equal.

You can find < M by stating that 20 degrees.

That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.

<L = 70                  Given

<N= 90                  So marked.

70 + <M + 90 = 180

<M = 20 degrees.

<X = <M

<X = 20

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.By dividing the entire number of possible outcomes by the number of ways an event could occur, one can determine the probability of an occurrence. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 on a fair six-sided die is 1/6. Probability can be used to assess uncertainty surrounding an occurrence and create predictions. It is utilised in a variety of industries, including banking, science, engineering, mathematics, and statistics.

given

Andrés can either get a desktop computer or a laptop. He has five options for the colour of the computer for each selection.

As a result, Andrés has the following options for purchasing the computer:

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

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The complete question is:-  Andrés wants to buy a computer and finds that there is a desktop and a laptop with the colors red, blue, green, pink and gray. How many ways will Andrés have to buy the computer?

Answer:

uhhm

Step-by-step explanation:

....

The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x

Polynomial functions are functions that have a leading variable of 3 and above.

Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:

(x+4)), x-0, x-1 and x - 4

To get the polynomial function required, we will take the product of the factors as shown:

= x(x-1)(x+4)(x-4)

= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)

f(x)= x⁴-16x²-x³+16x

Rearranging

f(x) = x⁴- x³ - 16x²+16x

Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.

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The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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ANSWER ; On average, Bailey reads 5/7 books per week

EXPLANATION;

Here, we want to get the average number of books per week Bailey reads

To get this, we simply have to divide the number of books she read by the number of weeks it took her to read them

Mathematically, we proceed as follows;

Now, to proceed with the division, we have to turn each of the mixed fractions to improper fraction ( a fraction that has its numerator greater than its denoinator)

To do this, we multiply the denominator by the stand alone number, then add the numerator; after which we place the sum over the denominator

We have an example as follows;

Applying this to the fractions, we have;

Finally, we proceed with the division;

Answer:

m is 7

Step-by-step explanation:

\({ \sf{ - 6(1 + 8m) = - 342}}\)

divide all sides by (-6) :

\({ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}\)

make m the subject:

\({ \sf{8m = 56}} \\ { \sf{m = 7}}\)

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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Answer:

∠AOB + ∠BOC = ∠AOC we will be using this equation

x = 21   this is the value of x

Step-by-step explanation:

Angle AOC = 84

Angle AOB = 3x

Angle BOC = x

it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC

now lets make the equation we that we will be using

∠AOB + ∠BOC = ∠AOC

3x + x = 84

4x = 84

x = 84 ÷ 4

x = 21

Step-by-step explanation:

Here, we have,

AOC=84°

AOB=3x

BOC=x

Now, the required equation will be;AOC=AOB+BOC[whole part axiom]

or, 84°=3x+x

or, 84°=4x

or, 84°÷4=x

or, x=21°

Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.