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​

PLEASE EXPLAIN HOW TO GET THE DECIMAL NUMBER The Table Shows The Numbers Y (in Thousands) Of People In

Answers

Answer 1

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

PLEASE EXPLAIN HOW TO GET THE DECIMAL NUMBER The Table Shows The Numbers Y (in Thousands) Of People In

Related Questions

If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are


A. Vx= 5 m/s Vy=5 m/s


B. Vx= 8.66 m/s Vy=5 m/s


C. Vx= 5 m/s Vy=8.66 m/s


D. Vx= 6 m/s Vy=8 m/s

Answers

If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are; C. Vx= 5 m/s Vy=8.66 m/s

What are the vertical and horizontal components of the velocity?

The formula to find the velocity of an object thrown at an angle is;

Horizontal velocity component; Vx = v_i*cosθ

Vertical velocity component; Vy = v_i*sinθ

where;

v_i is initial velocity

θ is angle at which object is thrown.

Now, we are given that;

Initial velocity; v_i = 10 m/s

Angle of throw; θ = 60°

Thus;

V_x = 10 * cos 60

V_x = 10 * 0.5

V_x = 5 m/s

V_y = 10 * sin 60

V_y = 10 * 0.8660

V_y = 8.66 m/s

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2 +4
5
3
Please help me

Answers

We convert 2 into 6/3.

Now, we add the fraction part of the mixed number with 6/3
-> 5/3 + 6/3 = 11/3

So, it is equal to 4(11/3)

Now, we convert 11/3 into 3(2/3)
-> 4(11/3) = 4+3(2/3) = 7(2/3).

Answer:

based on the bodmass 4×5÷3=6.7+2=8.7

13. pls help will mark brainliest to anyone

Answers

The equation of the line in slope intercept form is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.

What is named as the slope-intercept form?The slope intercept type of composing a straight line equation is y = mx + b. In the equation 'y = mx + b,' 'b' represents the point in which the line intersects the 'y axis,' and'm' represents the slope of the line. A line's slope or gradient describes how steep it is. It may have a positive or negative value.

For the given question;

Two points are given as;

(x1, y1) = (-6, 6)

(x2, y2) = (9, 1)

The slope of the line is found as;

slope = m = (y2 - y1)/(x2 - x1)

m = (1 - 6)/(9 + 6)

m = -5/15

m = -1/5

The equation of the line in slope-intercept form is found as;

y  - y1 = m(x - x1)

y - 6 = (-1/5)(x + 6)

5y - 30 = -x - 6

5y = -x + 24

y = -x/5 + 24/5

Thus, the equation of the line is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.

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Find the slope of the line graphed below.

Answers

Answer:

3/4

Step-by-step explanation:

up 3 right 4

it is 76 at the 6000 foot level of a mountain and 49 at the 12000 foot level of the mountain. write a linear equation to find the temperature T at an elevation X on the mountain, where x is in thousands of feet

Answers

The most appropriate choice for Linear equation will be given by-

[tex]2000T = -9X+206000[/tex]

This is the required equation to find the temperature T at an elevation X on the mountain.

What is linear equation?

Equation shows the equality between two expressions by connecting the expressions with an equal to sign.

A one degree equation is called linear equation.

Here,

Let X denotes the elevation of the mountain and T is the temperature

Let the equation be T = pX + c

It is 76 at the 6000 foot level of a mountain

Putting T = 76 and X = 6000

6000p  + c = 76 .........(1)

It is 49 at the 12000 foot level of the mountain

Putting T = 49 and X = 12000

12000p + c = 49..........(2)

Subtracting (2) from (1),

6000 p = -27

[tex]p = \frac{-27}{6000}\\\\p = \frac{-9}{2000}[/tex]

Putting the value of p in (1),

[tex]6000 \times \frac{-9}{2000} + c = 76\\-27 + c = 76\\c = 27 + 76\\c = 103[/tex]

Equation

[tex]T = \frac{-9}{2000}X+103[/tex]

[tex]2000T = -9X+206000[/tex]

This is the required equation to find the temperature T at an elevation X on the mountain.

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Sadie is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=1.9x+3y=1.9x+3, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 1.9 represent in the equation?
A: the initial change in time
B: how far sarah can ride for $1
C: How much the taxi cost per mile
D: the total charge for one mile

Answers

The number 1.9 represent in the equation means C. How much the taxi cost per mile

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

In this case, the equation to represent her total cost is y = 1.9x+3. In this case, the x represents the number of miles. Therefore, 1.9 represent the cost for each miles that travelled.

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If a point divides a line segment into two congruent
line segments, then the point is a midpoint. Point P
divides LH into two congruent line segments.
use the law of detachment to determine what you can conclude from the given information, if possible.
help ​

Answers

Answer: Point P is a midpoint

Step-by-step explanation:

The scale of a map is 1 in.: 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.

Answers

The given statement is not true because the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.

What is the scale of the map?

We are given the scale of the map as;

1 inch : 100 miles

What this means is that 1 inch on the map represents an actual distance of 100 miles.

Now, from conversion values, we know that;

1 mile = 63360 inches

Now, the question is trying to suggest that the actual distance between two towns 100 times the map distance between the two towns

The given statement is not true because as seen from the conversion above, the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.

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Find the approximate side length of a square game board with an area of 174 in2.

Answers

Answer:

43.5(Maybe)

Step-by-step explanation:

All I did was divide it by 4 but im not sure what the 2 means

Area of square (let's labelled as x) is calculated by the formula : a^2, where a is the side.

Therefore, to calculate the side, we use the formula : a = [tex]\sqrt{x}[/tex]
Applying it : a = [tex]\sqrt{174}[/tex] = approx. 13.191 in (3 d.p)

Type the correct answer in each box.If , then a = , b = , c = , and d =

Answers

Explanation:

Consider the following matrix equation:

Applying the additive property, this is equation is equivalent to:

[tex]\begin{bmatrix}{a-2} & {b+5} & {} & {} \\ {c\text{ -10}} & {d\text{ +6}} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}=\text{ }\begin{bmatrix}{4} & {8} & {} & {} \\ \text{ -}{1} & {0} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}[/tex]

This is equivalent to the following linear system of equations:

Equation 1:

[tex]a\text{ - 2 = 4}[/tex]

Equation 2:

[tex]b+5=8[/tex]

Equation 3:

[tex]c\text{ -10= -1}[/tex]

Equation 4:

[tex]d\text{ +6=0}[/tex]

From equation 1, we get:

[tex]a\text{ = 4+2=6}[/tex]

From equation 2, we get:

[tex]b=8\text{ - 5 = 3}[/tex]

From equation 3, we get:

[tex]c\text{ = -1+10 = 9}[/tex]

From equation 4, we get:

[tex]d\text{ = -6}[/tex]

we can conclude that the correct answer is:

Answer:[tex]a\text{ = 6}[/tex]

[tex]b=\text{ 3}[/tex]

[tex]c\text{ = 9}[/tex]

and

[tex]d\text{ = -6}[/tex]

whats the G.C.F for 25 and 40 help me

Answers

Answer:

5

Step-by-step explanation:

G.C.F means greatest common factor

this means the highest number that will go into both 25 and 40

5 is the highest number that will divide into both

can you please answer the question

Answers

Answer: maybe 1 ‍♀️

Step-by-step explanation:

The answer is 1
16 / 2 = 8
divide two (numerator) by the same number you divided 16 by.
2 / 2 = 1
1/8.

Examine the table and determine the rate of change.
X
1
2
3
4
Y
-4
-1
2
5
What is the rate of change?
O-4
O-3
O 1
03

Answers

It is the average amount by which the function changed per unit throughout that time period. The average rate of change of a linear function exists 9/3.

What is meant by average rate of change?

It exists the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The average rate at which one quantity changes in relation to another's change exists directed to as the average rate of change function. A method that defines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

The average rate of change of a linear function (the slope) exists constant. The rate of change of the linear relationship = change in y / change in x

The rate of change from x = 1 to x = 4

= (5 - -4) / (4 - 1) = 9 / 3

Therefore, the average rate of change of a linear function exists 9/3.

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1. (02.06 mc) a car travels 25.0 miles due east for one hour. then it travels another 60.0 miles east for an additional hour. what is the average velocity of the entire trip? (2 points) 17.5 mph east 35.0 mph east 42.5 mph east 85.0 mph east

Answers

The average velocity of the entire trip is 42.5 mph east

An object's average velocity is calculated by dividing its total displacement by its total travel time.

It measures how quickly an object shifts from one location to another.

It is a Vector magnitude

For one hour, an automobile travels 25.0 miles due east.

Then it continues for an extra hour and travels another 60.0 miles east.

We must determine his overall journey average speed.

He does the entire journey going straight east.

He travels a total distance of 25 + 60 = 85 miles east.

He takes an hour to get there from here and another hour to get there from there.

The total travel time is 1 + 1 = 2 hours.

Total displacement times total time equals the average velocity.

His average speed = 85 ÷ 2 = 42.5 miles/hour east

The average velocity of the entire trip is 42.5 mph east

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Calculate the value of a in the triangle below.
15 cm
12 cm
a cm

Answers

Answer:

a = 11cm

Step-by-step explanation:

We can use the Pythagorean theorem to find the value of a.

Let us solve it now.

[tex] \sf {a}^{2} + {12}^{2} = {15}^{2} [/tex]

Now solve for a and and find the length of the side.

[tex] \sf {a}^{2} + 144 = 225 \\ \sf {a}^{2} = 225 - 144 \\ \sf{a}^{2} = 121 \\ \sf \: a = \sqrt{121} \\ \sf \: a = 11[/tex]

radium-221 has a half-life of 30 sec. how long will it take for 86% of a sample to decay? (round your answer to the nearest whole number.)

Answers

If radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds

The half life of the radium-221 = 30 seconds

To decay 86% of the sample

The equation of the half life N = [tex]N_0(\frac{1}{2} )^\frac{t}{t_1}[/tex]

Where N is the quantity of substance remaining

[tex]N_0[/tex] is the initial quantity of substance

t is the time elapsed

[tex]t_1[/tex] is the half life of the substance

Substitute the values in the equation

0.14[tex]N_0[/tex] = [tex]N_0(\frac{1}{2} )^\frac{t}{30}[/tex]

Cancel the [tex]N_0[/tex] from each side

0.14 = [tex](\frac{t}{30} )^\frac{t}{30}[/tex]

[tex]2^\frac{t}{30}=\frac{1}{0.14}\\ \frac{t}{30}=log_2\frac{1}{0.14}\\ t = 30log_2\frac{1}{0.14}[/tex]

t = 85.09 seconds

Hence, if radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds

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A print shop a $10 flat fee for each print and then $0.25 for each page printed. Which of the following tables shows relationship between the number of pages and cost of order?

Answers

The equation to represent the number of pages is: 0.25x = 10.

What is equation?

In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.

According to the question, the given parameters to form the equation are as follows:

The cost of each print is: $10

The cost of each page printed: $0.25

Now, let us assume number of printed pages are: 'x'

Therefore, the equation which shows the relationship between the number of pages and the cost of order is: 0.25x = 10

Hence, the equation to represent the number of pages is: 0.25x = 10

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The diagram shows a triangle. 35° 2w 3w What is the value of w?

Answers

Applying the triangle sum theorem, the value of w in the triangle is calculated as: w = 29.

What is the Triangle Sum Theorem?

The triangle sum theorem states that if we add up all the three interior angles of any given triangle, we will have a sum of 180 degrees.

This means that, irrespective of whatever triangle that is given, the sum of all the interior angles of such triangle will be equal to 180 degrees.

The diagram attached below shows the following interior angle measures of a triangle: 35°, 2w, and 3w.

To find the value of w in the triangle given, we have to create an equation using the triangle sum theorem that will enable us solve for the value of w.

Thus:

35 + 2w + 3w = 180° [according to the triangle sum theorem]

Combine like terms

35 + 5w = 180

Subtract both sides by 35

35 + 5w - 35 = 180 - 35 [subtraction property of equality]

5w = 145

Divide both sides by 5

5w/5 = 145/5 [division property of equality]

w = 29

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Evan runs a website that has gotten popular. However, it's popularity is decreasing
and the site is now getting 7% fewer hits each week. If Evan's site got 34,000 hits
this week, how many hits can he expect 3 weeks from now? (Round to the nearest
whole number).
27,348
134,369
714,000
41,651

Answers

Answer:

27,348

Step-by-step explanation:

Answer: W h y d i d y o u

Step-by-step explanation:

I only need 3 and 4 done Explain your reasoning and find the measures of the numbers

Answers

3) The measures of the numbers are ∠1 =∠3 = ∠4 = ∠6 = 139° and ∠2 = ∠5 = ∠7 = 41°

4) The measures of the numbers are ∠1 =∠3 = ∠5 = 117° and ∠2 = ∠4 = ∠6 =∠7 = 63°

3.) ∠2 = 41° ( By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)

41° + ∠4 = 180°(Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.)

∠4 = 180° - 41° = 139°

∠3 =∠4  = 139°(By the Alternate angle theorem, alternate interior angles are congruent.)

Similarly, ∠5 = 41°

∠1 =∠4  = 139°(By Corresponding Angles Postulate, corresponding angles are congruent in parallel lines are cut by a transversal.

∠4 =∠6  = 139° and ∠7 =∠5 = 41°(By Vertical Angles Theorem, as they both are pairs of vertically opposite angles)

4) ∠5 = 117°  (By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)

117° + ∠4 = 180° (By Same Side Interior Angles Theorem)

∠4 = 180°- 117° = 63°

∠2 = ∠4 = 63°  (By Vertical Angles Theorem)

∠2 = ∠6 = 63°  (By Corresponding Angles Postulate)

∠3 = 117°   (By Corresponding Angles Postulate)

∠1 = ∠3 = 117°  (By Vertical Angles Theorem)

∠6 = ∠7 = 63°  (By Vertical Angles Theorem)

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Marvin has 10 baskets of fruit he feels each basket with the same number of apples there are fewer than 11 apples in each basket how many apples could marvin have

Answers

I would think this would be 100 apples

Marvin had 100 apples since he had 10 apples in each basket.

Explain about the expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The following elements can be used to identify algebraic expressions: a variable or a group of variables. For example, the algebraic expression 4x contains the variable x, while 3xy+4 contains the variables x and y.

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The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the
height of the wall.
Veronica needed 11.2 quarts of paint to paint a room with perimeter 40 feet and wall height 14 feet.
How much paint will she need to cover the walls of a room with perimeter 50 feet and wall height 15 feet?
Round your answer to one decimal place.
quarts

Answers

She need 15 quarts to cover the walls of a room with perimeter 50 feet and wall height 15 feet.

Define area.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given Data

Veronica needed 11.2 quarts of paint to paint a room with perimeter 40 feet and wall height 14 feet.

Area of room = 40(14)

Area of room = 560

She need to cover the walls of a room with perimeter 50 feet and wall height 15 feet

Area = 50(15)

Area = 750

Let q be the number quarts of paints

[tex]\frac{560}{750}[/tex] = [tex]\frac{11.2}q{}[/tex]

Cross multiplying,

560q = 11.2(750)

q = [tex]\frac{11.2(750)}{560}[/tex]

q = 15

She need 15 quarts to cover the walls of a room with perimeter 50 feet and wall height 15 feet.

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What is the slope of the line shown below?
(-1,-4)
(2, 2)

Answers

Answer:

2

Step-by-step explanation:

To find the slope, you need to use the term y2-y1/x2-x1

To do this, first do:

-4-2:

-6

Now, do -1-2=

-3

Now, since -6/-3 has two negatives, the fraction will turn into

6/3

Now simplify

2.

The slope of the line is two.

The slope is 2.
The equation is y = 2x - 2

What is the equation of the linear model shown? (Hint: Pick two points closest to
the line and complete it by hand. No need to use the calculator.)
Y= 0.8x +4
Y= 1.25x -0.5
Y=0.8x + 0.4
Y=-0.8x+20

Answers

Y=0.8x+4

We can visually see that the linear model will cross the Y-Axis at around 4-5. This is the y intercept, or the “b” part of the equation in y=mx+b that all linear models follow.

To check, we can simply input or approximate one of the values from the x axis. If we take 10, and input it into the linear model shown above, we get a value of 12, which is very close to what we see on the graph.

Additionally, the other y intercepts for the other choices are nowhere near our estimated y intercept, and so they can be crossed off by process of elimination.

A baseball is thrown from a height of 5 feet. The height, h, of the ball at time t seconds is modeled by the equation h(t)=−16t2+100t+5. How long will it take the ball to reach the ground?

Select one:
a. 5.8 seconds.
b. 6.3 seconds.
c. 7.2 seconds.
d. 7.6 seconds.
please help:)

Answers

The ball takes 6.3 seconds to reach the ground when thrown upwards.

The height of the baseball thrown is 5 feet.

The function or equation for the height of the ball at a certain time t is given as:

h( t ) = - 16t² + 100t + 5

When the ball will reach the ground the height of the ball will be h = 0.

Therefore,

- 16t² + 100t + 5 = 0

Comparing the equation with general quadratic equation ax² + bx + c =0

We have, a = - 16, b = 100, and c = 5

Using the quadratic formula,

[tex]t=\frac{-b\pm \sqrt{b^{2} - 4ac } }{2a}[/tex]

[tex]t = \frac{-100\pm \sqrt{(100)^{2} - 4(-16)(5) } }{2(-16)}[/tex]

[tex]t=\frac{-100 \pm \sqrt{10000+320} }{-32}[/tex]

[tex]t = \frac{-100\pm \sqrt{10320} }{32} \\[/tex]

t = [ 25 ± √(645) ] / 8

When,

t = [ 25 + √(645) ] / 8 = 6.299 = 6.3 seconds

t = [ 25 - √(645) ] / 8 is false as the time cannot be negative.

The correct option is (b) 6.3 seconds.

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a circle has an initial radius of 50 ft when the radius begins decreasing at a rate of 2 ft/min. what is the rate of change of the area at the instant the radius is 10 ft?

Answers

The rate of change of the area at the instant the radius is 10 ft is 376.99 ft² / min.

The rate of change describes how one quantity changes in relation to the change in another quantity.

If a circle has an initial radius of 50 ft and decreases at a rate of 2 ft/min, then the time it took the radius to become 10 ft is 20 min.

r = r₀ - (rate)(time)

10 ft = 50 ft - (2 ft/min)(time)

(2 ft/min)(time) = 40 ft

time = 20 min

Solve the rate of change in area by dividing the change in area after time = 20 min.

rate of change = change in area / change in time

rate of change = A(r = 50) - A(r = 10) / 20 min

rate of change = π(50² - 10²) / 20 mins

rate of change = 376.99 ft² / min

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Use a table and graph to show when her investment will be worth 10,000$

Answers

Solution

I think the interest is compounded yearly, if so

First, convert R as a percent to r as a decimal

r = R/100

r = 6.25/100

r = 0.0625 per year

A = 10000

P = 5000

[tex]A=P(1+\frac{r}{n})^{nt}[/tex][tex]\begin{gathered} 10000=5000(1+6.25)^t \\ \frac{10000}{5000}=(1+0.0625)^t \\ 2=(1.0625)^t \\ \ln 2=\ln (1.0625)^t \\ t=11.5 \end{gathered}[/tex]

Use logarithms or a scientific calculator

t = 11.5

In 11.5 years $5000 investment be worth of $10000

>>>>>>>>>>>>>

In case the interest is simple interest

Interest = Amount - Principal = $10000-$5000 = $5000

Time = 100*Interest / (Principal*Rate

= 100*5000 / (5000*6.25)

t = 16 years

In 16 years $5000 investment be worth of $10000

What can be subtracted from 1/2 to equal 1/5

Answers

Answer: 3/10

Explanation:

1/2 = 5/10

1/5 = 2/10

5/10 - 2/10 = 3/10

THEREFORE

5/10 - 3/10 = 2/10

THEREFORE

1/2 - 3/10 = 1/5

Calculate the rise and run to find the slope of each line! Please help me!!!

Answers

Answer:

Slope = 2

Step-by-step explanation:

See attached graph/worksheet.

I need help on this equations.

Answers

A. y = 1x +4

B. y = -2x +4

C. y = -6

D. x = 1

Other Questions
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