Which scenario could be represented by this graph?

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, is the same as 12.8.

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

Negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, is the same as 12.8.

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Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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Answer:

it's 14,000

Step-by-step explanation:

(sea level means 0)

Answer:

the answer for 2 is given answer for 1 is  trans prop of answer for 3 is knl and answer for 4 is  nkl

Step-by-step explanation:

The random error term accounts for all sources of variance not included in the regression model, such as omitted influences on y or approximation errors in the calculation of the least squares estimates. Measurement errors in the observed variables are not considered.

The regression model includes a random error term to account for all sources of variance that are not included in the model. This includes omitted influences on the dependent variable, y, that could affect the outcome, or approximation errors in the calculation of the least squares estimates. The random error term also allows for the fact that the linear functional form of the model is only an approximation of the true relationship between the independent and dependent variables. Measurement errors in the observed variables, however, are not considered by the error term. Instead, these errors can be accounted for by increasing the sample size and improving the accuracy of the measurements. Additionally, the inclusion of the error term allows researchers to assess the contribution of the explanatory variables to the variation in the dependent variable and to assess the overall fit of the model.

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Answer:

huh????

Step-by-step explanation:

what did you try to say

When the acceleration is 7 m/s², it means that the force will be 70 N.

From newton's first law of motion, we know that;

F = ma

where;

m is mass

a is acceleration

We are given;

F = 60 N

a = 6 m/s²

Thus;

m = F/a = 60/6

m = 10 kg

When acceleration is 7 m/s², we have;

F = 10 * 7

m = 70 N

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Answer:

She ran 1/4 of a mile

Step-by-step explanation:

Multiply 1/3 by the distance

1/3 * 3/4

Canceling the 3's

1/4

She ran 1/4 of a mile

Answer:

the answer is 4800

Answer:

What is mental math?

Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?

It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.

Is mental math useful?

Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.

Step-by-step explanation:

The ratio of 20 inches to 24 inches as a ratio of whole numbers using fractional notation is 5 : 6

The measurements are 20 inches and 24 inches

First simplify 20 inches to 24 inches by dividing both numbers by their greatest common factor.

The greatest common factor of 20 and 24 is 4.

Divide the each number by 4 and simplify the term

20 inches : 24 inches = 20/4 inches : 24/4 inches

Divide the numbers,

Then the simplified form will be

20 inches : 24 inches = 5 inches : 6 inches

Therefore, the ratio 20 inches to 24 inches is 5 : 6

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The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

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Answer:

10v*3 =

30v

Step-by-step explanation:

That's the answer

Answer:

10v × 3

Step-by-step explanation:

Multiply the product of v and 10 by 3.

Firstly, the product of two numbers is the resulting value after you multiply them. Therefore, the product of v and 10 is 10v.

Now, we're told to multiply this value by 3. Because the product of v and 10 is 10v, we get 10v × 3 when we multiply it by 3.

I hope this helps!

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

x-intercept 1) To calculate the x-intercept of the linear function. Simply rewrite it as an equation.

So

y = 1/3x -12

0 = 1/3x -12

-1/3x=-12 x -3

x=36

2) The x intercept has, y =0 as we did algebraically. So the answer is

D(36,0)

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that \(\sqrt{p(1-p}\leq \frac{1}{2}\)

Step(ii):-

Given margin of error  = 2 % =0.02

The margin of error is determined by

          \(M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }\)

         \(0.02 = \frac{\frac{1}{2} }{\sqrt{n} }\)

        \(\sqrt{n} =\frac{1}{2 X0.02}\)

        √n = 25

squaring on both sides, we get

       n = 625

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

both collinear and coplanar

Answer:

both

Step-by-step explanation:

Answer:

it could be 36

Step-by-step explanation:

because 5 times 6 is 30 and 6 times 6 is 36

Answer:

y=1 , z=-2

Step-by-step explanation:

I will use the method of elimination :

Multiply the top equation by 5 to make equation 3 :

35z + 15y = -55

Multiply bottom equation by 3 to make equation 4:

6z + 15y = 3

Subtract equation 3 from equation 4 to eliminate the y :

-29z = 58

Divide both sides by -29 to solve for z :

z = 58 ÷ -29

z = -2

Substitute this value into either equation 1 or 2 to solve for y :  

I chose equation 2 :

2(-2) + 5y = 1

-4 + 5y = 1

Add 4 to both sides :

5y = 5

Divide both sides by 5 :  

y = 1

Hope this helped and have a good day

The total surface area of the given triangular prism is: 72.5 in²

To get the surface area of this prism, what we will do is to find the area of each of the surfaces and add up to get the total surface area.

The formula for the area of a triangle is:

Area = ¹/₂ * b * h'

where:

b is base length

h is height

Total Surface Area = (¹/₂(5 * 5)) + 3(¹/₂*5*8)

Total Surface Area = (25/2) + 60

Total Surface Area = 72.5 in²

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The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

Given that,

The Kinetic Energy of an object depends on the object's and velocity , and can be written as v = m

Kinetic Energy of an object with a mass = 1,700 kilograms

Traveling = 50 meters per second

Radius = 4.92 ft

Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

Kinetic Energy of a body is given by ,

1/2 mv²

Where m = mass = 1700 kg

v = velocity = 50m/s

Therefore ,

KE = 1/2 * 1700kg * 50m/s

KE = 2125000 J.

Now to calculate the volume

Let's assume that the solution to the problem will be found using your formula. If so, let's carry out the following operations when solving for v in the equation:

On multiplying the equation by 2, the outcome is

2\(r^{2}\)

=3\(\sqrt{3V}\)

To find volume

enter (v=(2\(r^{2}\))/33)

rationalize the right side of the equation's numerator.

v=(2π\(r^{2}\) )

A simplified version of 3/333 is

v=(2\(r^{2}\))3/9.

Substitute

v=(23.143.1523)/9

v=11.9.

Therefore,

The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.

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The arc length of \(y=2x^{\frac32}\) over [0, 1] is given by the integral,

\(L=\displaystyle\int_0^1\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx\)

Differentiate y with respect to x using the power rule:

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac32\times2 x^{\frac32-1}=3x^{\frac12}\)

Then the integral becomes

\(L=\displaystyle\int_0^1\sqrt{1+\left(3x^{\frac12}\right)^2}\,\mathrm dx=\int_0^1\sqrt{1+9x}\,\mathrm dx\)

Substitute u = 1 + 9x and du = 9 dx :

\(L=\displaystyle\int_0^1\sqrt{1+9x}\,\mathrm dx=\frac19\int_1^{10}\sqrt u\,\mathrm du\)

\(L=\displaystyle\frac19\left(\frac23u^{\frac32}\right)\bigg|_1^{10}\)

\(L=\dfrac2{27}\left(10^{\frac32}-1^{\frac32}\right)\)

\(L=\boxed{\dfrac2{27}\left(10^{\frac32}-1\right)}\)

Answer:

5 percent or 5.7349percent

divide 43209 by 45687 and get 1.0573491 subtract one

and get 0.0573491 make into a percentage 5.7percent depending on where you need to round.

Answer:

24

Step-by-step explanation:

first 2×2=4

then 16÷4

4×6

24

Fred will pay $43.05 in sales tax if he buys the new refrigerator.

To calculate the sales tax Fred will pay for the new refrigerator, we first need to find the amount of the sales tax.

The cost of the new refrigerator is $615.

To calculate the sales tax, we multiply the cost by the tax rate of 7%:

So, Sales tax = 7% of $615

Sales tax = (7/100) x $615

Sales tax = $43.05

Therefore, Fred will pay $43.05 in sales tax if he buys the new refrigerator.

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Answer:

66.0°

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°.

Let "x" represent the measure of the third interior angle. We can use this to set up an equation:

84.0° + 30.0° + x = 180°

Add like terms:

114.0° + x = 180°

Subtract 114.0° from both sides:

x = 66°

The question asks for the answer to be in degrees to one decimal place, therefore:

x=66.0°