Simplify the expression.
(3x/2)4

Answers

Answer 1

Answer:

6x

Step-by-step explanation:

4 * 3x = 12x

12x / 2 = 6x


Related Questions

What is the value of x? 29 points!! pls need 2 know

Answers

The value of x is 1.5

The parallel lines are the coplanar straight lines  that are at equal distance from each other and never meet.

When two parallel lines are cut by a transversal, the formed alternate exterior angles will be congruent

Here two parallel lines L1 and L2 cut by a transversal L3, the marked angles in the given picture is called alternate exterior angles. The alternate angles are congruent.

Therefore

x+1 = 3x-2

Move 3x to left hand side and 1 to right hand side of the equation

x-3x = -2-1

-2x = -3

x = -3/-2

x = 1.5

Hence, the value of x is 1.5

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Expand and fully simplify (t-2) (t + 5) (t - 4)

Answers

      We must multiply out the brackets in order to expand and simplify an expression, and we must then collect like words in order to simplify the resulting expression. We take out brackets by expanding them, often known as multiplying out. It is the factorization procedure in reverse.

(t -t2)(t +5)(t-4) (t-4)

Replacing it with: f(t) = (t -t2)(t +5) (t-4)

Instead, resolve:  d/dt ((t -t2)(t +5)(t-4) )

Solution:

(t -t2)(t +5)(t-4) (t-4)

Expand:

(t -t2) (t +5) (t-4) ; t³ - t²- 22t + 40

Steps:

(t -t2)(t +5)(t-4) (t-4)

Parentheses distributed as: t ²t+ t² (-4)+3tt+3t(-4)-10t-10t-10(-4)

Reduce t ²t+ t² (-4)+3tt+3t(-4)-10t-10t-10(-4);

t³-t²-22t+40.

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PLEASE EXPLAIN HOW TO GET THE DECIMAL NUMBER The table shows the numbers y (in thousands) of people in a city who regularly use sharable electric scooters x weeks after the scooters are introduced. Write a function that models the data. Use the model to predict the number of users after 32 weeks. (See Example 2.) Time, x 1 4 6 10 12 15 20 24 25 Number of users, y 1.5 2.2 2.4 3.9 5.5 6.8 12.3 16.4 17.6​

Answers

Answer:

Model as computed by a quadratic equation calculator is
y (in thousands) = 0.0264x² -0.016x + 1.6
where y = number of users in thousands and x = number of weeks since introduction

Prediction for number of users after 32 weeks is 28,122

Step-by-step explanation:

Plotting the data appears to show the relationship between number of people using scooters and the number of weeks after which the scooters were introduced is quadratic in nature

Letting x = number of weeks and y the number of users (in thousands), using a quadratic regression calculator, the regression equation was

y (in thousands) = 0.0264x² -0.016x + 1.6

The correlation coefficient is high , r = 0.998937848

To predict number of users after 32 weeks, use x = 32 in the regression equation:

y (in thousands) = [tex]y \text{ (in thousands) } = 0.0264(32)^2\:-0.016(32)\:+\:1.6 = 28.1216\\\\[/tex]

Since this figure is in 1000's the actual number of users predicted would be:

28.1216 x 1000 ≈ 28,121.6 ≈ 28,122

I hope that my premise and calculations are correct, I simply used an online calculator to model and predict

PS. The decimal occurs because the numbers are in thousands

So for 1 week it is 1.5 which is actually 1.5 x 1000 = 1500 users

For week 20, it is 12.3 = 12.3 x 1000 = 12, 300 and so on

what is the distance between -5/2 and - 23/4 on a number line

Answers

The distance between the two given points on a number line is: 33/4 units.

How to Find the Distance Between Two Points on a Number Line?

The absolute difference between two points that are on a number line is the distance that exist between the two points.

For example, if a and b are two points on a number line, the distance between them can be calculated as: |a - b| units.

Given the coordinate of the two points, -5/2 and -23/4:

Distance between the two points = |-5/2 - 23/4|

Distance between the two points = |(-10 - 23)/4|

Distance between the two points = |-33/4|

Distance between the two points = 33/4 units.

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chegg what is the standard deviation of a random variable q with the following probability distribution? (do not round intermediate calculations. enter your answer in numbers not in percentage. round your answer to 4 decimal places.) value of q probability 0 0.22 1 0.21 2 0.57

Answers

Based on the probability distribution of a random variable "q" which goes as,

Value of "q"                  Probability

       0                                 0.22

       1                                  0.21

       2                                0.257

The standard deviation of "q" will be

As per the question statement, we are provided with a probability distribution of a random variable "q" which goes as,

Value of "q"                  Probability (P)

       0                                  0.22

       1                                   0.21

       2                                 0.57

We are required to determine the standard deviation of "q"

From the question mentioned table,

Expected value (qₙ) of random variable = [(q₁ * P₁) + (q₂ + P₂) + (q₃ + P₃)]

= [(0 * 0.22) + (1 * 0.21) + (2 * 0.57)] = 1.35

Therefore, Variance (V) of the random variable = ∑[P * (q - qₙ)²]

= [{0.22 * (0 - 1.35)²} + {0.21 * (1 - 1.35)²} + {0.57 * (2 - 1.35)²}]

= [{0.22 * (-1.35)²} + {0.21 * (-0.35)²} + {0.57 * (0.65)²}]

= [(0.22 * 1.8225) + (0.21 * 0.1225) + (0.57 * 0.4225)]

= (0.419175 + 0.025725 + 0.240825)

= 0.686265

Finally, Standard Variance of the variable "q" = √V

                                                                           = √(0.686265)

                                                                           = 0.8284

                                                                           ≈ 0.83

Standard Deviation: In Statistics and Probability Theory, the standard deviation is the average amount of variability in a dataset, i.e., It tells us, on average, how far each value in the set lies from the mean.

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Evaluate the expression, 23.98-1.49x7.6

Answers

Answer:

12.656

Step-by-step explanation:

1) BODMAS = 23.98-(1.49*7.6)

2) 1.49*7.6 = 11.324

3) 23.98-11.324 = 12.656

Hope this helps, have a great day! :)

Answer:

12.656

Step-by-step explanation:

You have to subtract the first two numbers(23.98-1.49).The answer you will get you will then multiply it buy the last number(7.6)

What is the result of 5.45×100

Answers

Answer:

545

Step-by-step explanation:

Use the figure below the find the value of y and each angle shown
A:24,84,96
B: 20,88,92
C22,86,94
D:18,78,102

Answers

Answer:

3rd option

Step-by-step explanation:

(5y - 16) and (3y + 20) are a linear pair and sum to 180° , that is

5y - 16 + 3y + 20 = 180

8y + 4 = 180 ( subtract 4 from both sides )

8y = 176 ( divide both sides by 8 )

y = 22

then

5y - 16 = 5(22) - 16 = 110 - 16 = 94°

3y + 20 = 3(22) + 20 = 66 + 20 = 86°

The center of the circle (x-6)^ +(y+4)^

Answers

The center  ( x - 6)² + (y + 4)² = 1 of circle does not lies in second quadrant.

it lies in fourth quadrant.

What is the circle equation?

A circle equation with centers (h, k) and radius r is ,

                       ( x - h)² + (y - k)² = r²

Regarding the given question,

The circle equations have been given to us.

Each circle's center is located.

We know that any point in the second quadrant has coordinates of the form (-x, y)

The x-coordinate must be a negative number, and the Y-coordinate must be a positive number.

( x - 6)² + (y + 4)² = 1

( x - 6)² + (y + 4)² = 1²

By comparing the above circle equation with ( x - h)² + (y - k)² = r²,  

we get the center = (6, -4) and the radius = 1.

The circle's center is located in the fourth quadrant. The x-axis in this quadrant is positive, while the y-axis is negative.

So here  ( x - 6)² + (y + 4)² = 1 does not lies in second quadrant .

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Multiply 2.9x and 5x. 14.5x2 7.9x2 14.5x 7.9x

Answers

Answer:

761058.745

Step-by-step explanation:

2.9 x 5 is 14.5

I believe your using x for multiplying and it's not a variable?

If you're problem is altogether it's 761,058.745

Answer: 14.5x2

Step-by-step explanation:

Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

eèeeeeeeeeeeeeeeeeeweeeeeee

The correlation coefficient (r) between the number of volunteers x and the number of bags of trash collected y is 0.928. What percent of the variation in the number of bags of trash collected can be explained by differences in the number of volunteers? (Only state the number of the percent in the answer blank, do not include the % in the answer blank, as the computer already knows it is a percentage)

Answers

The percentage of variation that is in the differences in the number of volunteers is 86.1

How to solve for the percentage of variation

We have to take the square of the correlation coefficient in other to get the solution to this problem.

The formula for variation is given a r squared

r = r²

The value of r is given as r = 0.928

Then we have the square of r = r²

= 0.928²

= 0.861

The percentage would be gotten by 0.861 x 100

= 86.1%

Hence the percentage of variation that is in the bags of trash that has been collected is 86.1

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Need help with trigonometry cos32=400.6/H

Answers

Given the equation:

[tex]cos32=\frac{400.6}{H}[/tex]

Let's rewrite the equation for H.

To rewrite for H, first multiply both sides by H:

[tex]\begin{gathered} Hcos32=\frac{400.6}{H}*H \\ \\ Hcos32=400.6 \end{gathered}[/tex]

Now divide both sides by cos32:

[tex]\begin{gathered} \frac{Hcos32}{cos32}=\frac{400.6}{cos32} \\ \\ H=\frac{400.6}{cos32} \\ \\ H=472.38 \end{gathered}[/tex]

ANSWER:

[tex]\begin{gathered} H=\frac{400.6}{cos32} \\ \\ H=472.38 \end{gathered}[/tex]

Solve the simultaneous equations.
x^2+y^2=13
y=x+1

Answers

Answer:

x² + y² = 13 ---1

y = x + 1 ---2

First make one of the unknowns the subject so you can substitute it into the other equation. Since 2 already has y as the subject, we can substitute 2 into 1 to find x.

Substitute 2 into 1:

x² + (x +1)² = 13

x² + (x² + 2x + 1) = 13

2x² + 2x - 12 = 0

2 is a common factor so we factorize it out.

2(x² + x - 6) = 0

x² + x - 6 = 0

Factorize the equation further.

(x - 2)(x + 3) = 0

x - 2 = 0     or      x + 3 = 0

x = 2          or       x = - 3

Substitute values of x into 2 to find y.

y = 2 + 1     or      y = - 3 + 1

  = 3                      = - 2

Hence, x = 2 and y = 3 or x = - 3 and y = - 2.

what is 4(-20) in pemdas?

Answers

Answer:

-80

Step-by-step explanation:

PEMDAS is Parentheses, exponent, multiplication, division, addition, subtraction.

the '-' is not a subtract sign, it is saying it is negative. Therefore, 4 * -20 = -80

Answer:the answer is -80

Step-by-step explanation:

The function $d\left(t\right)=\frac{1}{2}t+2$ represents the amount (in inches) of water in a rain barrel for six rainy days, where $t$ is the time (in days) since the rainfall began. a. Find the domain and range in this context.

Answers

The domain and the range are 0 ≤ t ≤ 6 and 2 ≤ d(t) ≤ 5, respectively

What is the domain of a function?

The domain of the function is the set of input values the function can take

How to determine the domain and the range?

The function is given as

d(t) = 1/2t + 2

Where t represents the number of days

And d represents the inches of rainfall

From the question, we have

Total number of days = 6

This means that the domain is 0 to 6.

This is represented as 0 ≤ t ≤ 6

For the range, we have

Set t = 0 in d(t) = 1/2t + 2

d(0) = 1/2(0) + 2 = 2

Set t = 6 in d(t) = 1/2t + 2

d(6) = 1/2(6) + 2 = 5

This means that the range is 2 to 5.

This is represented as 2 ≤ d(t) ≤ 5

Hence, the domain is 0 ≤ t ≤ 6 and the range is 2 ≤ d(t) ≤ 5

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Fully simplified slope intercept form

Answers

Step-by-step explanation:

look at the picture

*for the equation you can choose any of the two points

Factor −6x2 + 18x.

6x(−x + 3)
−6x(x + 3)
x(6x + 18)
6(−x2 + 18x)

Answers

The factored expression of the expression given as -6x² + 18x is -6x(x - 3)

How to factor the expression completely?

The expression is given as

-6x² + 18x

Group the expression in 2's

So, we have

-6x² + 18x= (-6x² + 18x)

Factor each group

So, we have

-6x² + 18x= x(-6x + 18)

Rewrite as

-6x² + 18x= -6x(x - 3)

Hence, the factored expression is -6x² + 18x= -6x(x - 3)

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What is the image of (-3,1) after a dilation by a scale factor of 2 centered at the origin?

Answers

The image of the point (-3, 1) after dilation is (−6,2).

Dilation is a process of increasing size of an object while maintaining its own shape. Depending on the scale factor, the object's size is either increased or decreased. The scale factor is the proportion of the new image's size to that of the previous image's size.

Given point is (-3, 1).

The dilation of the point is calculated as

Dilation = multiply each coordinate by scale factor.

(x,y) to (2x,2y)

Dilations  = multiply by a scale factor

(-3, 1) to (2*-3,2*1)=(−6,2)

Therefore, the image of the point (-3, 1) after dilation will be (−6,2).

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Find the value of p in the inequality.

two thirds times p plus 10 is greater than or equal to 3

p is less than or equal to negative twenty one halves
p is greater than or equal to negative twenty one halves
p is less than or equal to negative thirty nine halves
p is greater than or equal to negative thirty nine halves

Answers

The value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

In this question, we have been given a statement for an inequality.

two thirds times p plus 10 is greater than or equal to 3

i.e., (2/3)p + 10 ≥ 3

We need to find the value of p

(2/3)p + 10 ≥ 3

(2/3)p + 10 -10 ≥ 3 - 10

(2/3)p ≥ -7

(2/3)p * (3/2) ≥ -7 (3/2)

p ≥ -21/2

This means, p is greater than or equal to negative twenty one halves

Therefore, the value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

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If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles

Answers

5280 / 3 = 1760
1760 x 4 = 7040 yards

What’s the answer to the problem that I took a picture of?

Answers

Answer:

=2.79×10^23

Step-by-step explanation:

Multiply the 2 numbers is all you need to do, but that can be difficult as the 2 numbers are in scientific form / standard form :

So convert one of the numbers into a number in non-standard form but with the same power as the other (Got that ? Let me show you below) :

Each person has 3.72×10^13 cells

Population is 7.5×10^9

Let's make the top number / number of cells to the power of 9 instead of 13 :

3.72×10^13 = 37.2×10^12 = 372×10^11 = 3720×10^10 = 37200×10^9

Now we have :
37200×7.5×(1×10^9)²

The reason it's squared as both population and cells are now to power of 9 .

=2.79×10^23

Hope this helped and have a good day

the tire pictured below has a radius of 14 inches

Answers

To determine the distance rolled by the tire in 24 revolutions, use the following formula:

[tex]s=r\theta[/tex]

where r is the radius (14 in) and θ the degrees of the revolutions. Consider each revoutions represents 180 degrees or 2π radians, the, 24 revolutions are 24x2π = 48π.

Replace the values of r and θ into the formula for s:

[tex]s=(14in)(48)(3.14)=2,110.08in\approx2,110in[/tex]

Hence, the tire rolls 2,110 in

Answer:

B

Step-by-step explanation:

Circumference = pi * d  =   28 pi   inches

  twenty four of these is   24 *  28 pi inches = 2111.15 in = 175.9 ft

 

Complete this working to get 9^3 as a power of three:

Answers

Answers:

9^{3} = 9 x 9 x 9

so 9^{3} = 3 x 3 x 3 x 3 x 3 x 3

so 9^{3} = 3^{y} where y = 3^{6}

somebody please help me



3. Building A is 20 feet tall. Building B is 7 times as tall. Use a tape diagram to show how tall Building B is.​

Answers

The height of the building B is 140 feet which is 7 times taller than building A.

What is the scale factor?

Scale factor defines how many times more or less two things are relative to each other.

When we need to find out how many times more we multiply and when we want to find how many times less we divide. We can also call scale factor as a method or way of comparing things in terms of size or time or any other variable.

Given, Building A is 20 feet tall. Building B is 7 times as tall.

∴ The height of building B is (20×7) = 140 feet.

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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 7 min : 28 min

Answers

The given numbers 7 min and 28 min. The greatest common difference is 7 for the given numbers.

Given that,

We have to find the fraction of the given numbers

7 min and 28 min

We just have to find the greatest common difference.

The largest positive integer number that divides all the numbers in the set evenly and leaves no residual is referred to as the greatest common difference (also called highest common divisor, largest common factor, or highest common factor) of a group of numbers. It has the largest multiple of all the numbers in the set.

The GCD is most often computed for two numbers when reducing fractions to their smallest terms. Two numbers are considered coprime or substantially prime if their greatest common difference is 1.

Therefore, the greatest common difference is 7 for the given numbers.

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If n lines are drawn on a plane, no two lines are parallel, and all lines intersect at different points, how many sections do they separate the plane into? assume that no more than two lines intersect at any one point and prove your result using weak induction. Don’t include unneeded base cases.

Answers

Proved our result using weak induction.

Given:

If n lines are drawn on a plane, no two lines are parallel, and all lines intersect at different points, how many sections do they separate the plane into, assume that no more than two lines intersect at any one point.

Suppose it is true for n .Now add a new line , the number of  vertices increases by n one with each of the old line and the number of line segments increases by 2n+1 ( Each of the n old lines is broken into one more piece and the new line has n+1 segments , hence by euler's theorem on planar graphs the number of regions (F) increases by n+1 since V - E + F is constant and V - E is reduced by n+1.

so we now have

[tex]n^{2}[/tex]+n+2/2 + n + 1 = [tex](n+1)^{2}[/tex]+ n+1+2/2  vertices are desired

Therefore proved our result using weak induction.

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determine the equation of the line

Answers

Answer:

y=6x-12

Step-by-step explanation:

rise over run is 6/1 which is just 6

y intercept is -12

What’s the answer asp

Answers

I got a.64.6 degrees I am in geometry so I know

find the range when the domain {-1,0,3,6} f(x)=3x-1/2

Answers

I think the answer is probably 6 but I’m pretty rusty in math I haven’t done this in a while
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