Xavier start 5 feet away from the motion detector. He then walks away from the detector at a rate of 0.5 ft./s for four seconds. He remains still for two seconds, and then walks towards the motion detector at a rate of -2 ft./s for three seconds. How far in feet Xavier from the motion detector when he finishes his walk?

Answers

Answer 1

Answer:

1 ft away from the motion detector.

Step-by-step explanation:

To calculate Xavier's distance we can assume that the motion detector would be represented as 0ft. Now we simply need to create the arithmetic expression for every step/action that Xavier performed. Finally, we would solve the expression to calculate Xavier's total distance from the motion detector.

5ft + (0.5ft * 4) + (-2ft * 3)

5ft + 2ft - 6ft

1ft

Finally, we can see that Xavier is 1 ft away from the motion detector.


Related Questions

Write an algebraic expression for "six times a number divided by fourteen". *

Answers

Answer:

6x/14

Step-by-step explanation:

6x/14

Step-by-step explanation:

let a number is x

and 6 times means= 6x

then divided by fourteen

6x/14

please mark as brainliest

if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?

Answers

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

Polygon ABCD has the following vertices:
Al-5, 4), B(1,4), C(6,-4), and D(-5, -4)
Calculate the area of the polygon.

a.48 units squared
b. 53 units squared
c. 68 units squared
d. 88 units squared

Answers

Step-by-step explanation:

By the Shoelace method,

Area of quadrilateral = 0.5|(-5)(4) + (1)(-4) + (6)(-4) + (-5)(4) - (1)(4) - (6)(4) - (-5)(-4) - (-5)(-4)|

= 0.5|(-20 - 4 - 24 - 20 - 4 - 24 - 20 - 20)|

= 0.5|(-136)|

= 0.5 * 136 = 68 units squared. (C)

Answer:

68 units squared C

Step-by-step explanation:

I took the test and I got a 100% with this answer.

help meeee plzzz brainleestttttt

Answers

Answer:

From left to right, top to bottom

3

8

5

9

8

15

16

4

35

20

8

40

1

15

11

4

18

27

10

10

Step-by-step explanation:

Answer:

starting at the top left to right

3

8

5

9

8

15

16

4

35

20

8

40

1

15

11

4

18

27

10

10

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.

(2x - 3y )(4x - y )

Answers

xy - -4x²

Step-by-step explanation:

(2x - 3y)(4x -y)

2x( 4x -y) -3x( 4x - y)

8x² - 2xy - 12x² + 3xy

8x²- 12x²- 2xy + 3xy

-4x² + xy

xy - -4x²

use the figure to find the measures of the numbered angles

Answers

1. 112 degrees
2. 68 degrees

An engineer is designing a television screen. The screen is shaped like a rectangle with a diagonal of 34
inches. The ratio of the length of the rectangle to its width must be 15:8.
What is the length of the screen?
A. 30 in.
B. 23 in.
c. 32 in.
D. 15 in.

Answers

Answer:

30"

Step-by-step explanation:

length:width = 15:8

length = 15x

width = 8x

(15x)² + (8x)² = 34²

225x² + 64x² = 34²

289x² = 34²

x² = 34²/289

x = 34/17 = 2

length = 15x = 30 inches

Solve the equation below. If the solution is not an integer, give it in fractional form reduced to lowest terms.
X-9 over 4 =3

Answers

Answer:

x = 21

eliminate the denominator of 4

you can do this buy multiplying both sides by 4

x -9 = 12

x = 21

2
Select all the correct answers.
Terry is an up-and-coming florist who specializes in weddings. He uses 5 roses. 3 daisies, and 4 bundles of green filler to make one bouquet.fr
is the cost of a rose. dis the cost of a daisy, and fis the cost of a bundle of green filler, which expression represents the cost for making 75
bouquets?
75r+750 +75f+ 12
(5r+30 +41 +75
75(57)+75(3d) + 75(4)
75(5r+ 3d +45
Reset
Next

Answers

Answer:

is first one and last one

Step-by-step explanation:

Answer:  Option (4) is correct. 75( 5r + 3d + 4f ) expression represents the cost for making 75 bouquets.

Step-by-step explanation:

Given:   r is the cost of a rose, d is the cost of a daisy, and f is the cost of a bundle of green filler.

Terry uses 5 roses, 3 daisies, and 4 bundles of green filler to make one bouquet.

Thus, cost of one bouquet = cost of each flower used × number of flower used.

Total cost of one bouquet= 5r+3d+4f

Thus, cost for making 75 bouquets = 75 × cost of one bouquet

                                                            = 75( 5r + 3d + 4f )

Thus, option (4) is correct. 75( 5r + 3d + 4f ) is the correct expression to represents the cost for making 75 bouquets

How to solve the following equation:
5²(2x-3)=100

Answers

The answer is x=7/2 or 3.5
5^2 = 25, 25 • 2x = 50x, 25 • 3 = 75

That gives you 50x - 75 = 100

100 - 75 = 25

That gives you 50x = 25

25/50 = 0.5

Final answer x = 0.5

Plz help! I will do anything

Answers

it’s b if i’m not mistaken

Your dinner costs $21.50 before tax. If you used a fifteen percent off coupon
and then you are charged seven percent sales tax, what is your balance with tax?

Answers

Answer:

$19.55

Step-by-step explanation:

Discount = 15% of 21.50

              = 0.15 * 21.50

              =  3.225

             = $ 3.23

Balance need pay = 21.50 - 3.23 = $ 18.27

Tax = 7% of 18.27

     = 0.07 * 18.27

    = $1.28

Balance with tax = 18.27 + 1.28  = $ 19.55

A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest

Answers

Answer:

Step-by-step explanation:

Speed=Distance/Time

1.5/78=0.01923076923

Answer rounded=0.02/0.019

5(m + 4) = -2-4-m) +3

Answers

Answer:

m=3

Step-by-step explanation:

5m + 20= 8 + 2m +3

5m + 20= 11 + 2m

3m + 20 =11

m= 3

brainliest?

Solve the equation. You may find using algebra tiles to be helpful.

2x+5=11
X= ?
What does X equal
Please I need help need it soon

Answers

the answer for the equation is 3

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.

x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5

Answers

Answer:

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]  [tex]\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}[/tex]

Generally the echelon reduction is mathematically applied as

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -2 times the 1st row to the 2nd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Multiply the 2nd row by -1/8  

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -1 times the 2nd row to the 3rd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}[/tex]

Multiply the 3rd row by -8/41

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

[tex]\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -3 times the 2nd row to the 1st row

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

The piece wise defined function f(x) is graphed below. What is the value of f(5)?

Answers

Answer:

a

Step-by-step explanation:

Find the inverse function (on the given interval, if specified)
f(x) = x² + 1 for x 20
Find the inverse function.
f'(x)= for x2

Answers

Step-by-step explanation:

f(x) = x² + 1, where x >= 0.

Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.

The cube root of r varies inversely with the square of s. Which two equations model this relationship?​

Answers

Step-by-step explanation:

³√r =(k×1/s²)

³√r = k/s²

The equation given in the option which shows the relationship given in the question is  ∛r = k/s²and  [tex]\rm s^2 r^{1/3} = k[/tex], the correct options are B and C.

What is Inverse Variation?

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The statement for modelling the relation is

The cube root of r varies inversely with the square of s.

∛r ∝ (1/s²)

∛r = k/s²

Here k is the proportionality constant

The equations which model this relationship is given by ∛r = k/s²and  [tex]\rm s^2 r^{1/3} = k[/tex].

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Enter the value of n so that the expression (3y+1)+(2y+8) is equivalent to (ny+9)

Answers

it will be equivalent to (5y+9)

hope i was able to help and i wasn’t to late.

The value of n is 5 + 8/y for that expressions (3y + 1) + (2y + 8) and (ny + 9) are equivalent.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

The given expressions are (3y + 1) + (2y + 8) and (ny + 9)

Also, both the expressions are equivalent to each other.

To find the value of n, equate expressions  (3y + 1) + (2y + 8) and (ny + 9),

3y + 1 + 2y + 8 = n y + 1

5y + 9 = n y + 1

5y + 9 - 1 = n y

5y + 8 = n y

n = (5y + 8) / y

n = 5 + 8/y

The required value of n is 5 + 8/y.

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Mane who be shaking dice?

Answers

Not me

Step-by-step explanation:

On bd you trippin. You don’t know what you talm bout jit

Read these sentences from the text.
Alex is not a smoker, but he lives near St. Louis, named the worst place in the U.S. for asthma sufferers by the Asthma and Allergy Foundation of America in 2009. The group rated St. Louis low for having poor air quality and because it doesn’t have as many laws as other places keeping indoor areas smoke free.

Based on this evidence, what can you conclude about asthma sufferers in St. Louis?
A. St. Louis is the only city in the United States where asthma is common.
B. Poor air quality and indoor smoking can cause problems for asthma sufferers.
C. Poor air quality and indoor smoking have no effect on asthma sufferers.
D. There are more asthma sufferers in St. Louis than any other city in America.

Answers

Answer: Hi! I would say it is D because the other answers really don’t make sense. And the passages said that they were rated low for air quality.

Step-by-step explanation:

I hope this helps!

I need help with this one​

Answers

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

A waterwheel is being turned by a stream at a rate of 3 revolutions per minute. If the diameter of the wheel is 15 ft, then how fast is the stream flowing

Answers

Answer:

0.7176 m/s m/s

Step-by-step explanation:

We are given;

Rate = 3 rev/min

Diameter: d = 15 ft

Now, we want to find how fast the stream is flowing which is the linear velocity.

Thus;

linear velocity = circumferential distance × number of revolutions

Now, circumferential distance = πd

Circumferential distance = 15π

Thus;

linear velocity = 15 × π × 3 = 45π ft/min

Converting to m/s gives;

Linear velocity = 45π/197 m/s

Linear velocity = 0.7176 m/s

7696 divided by 52 with remainder

Answers

Answer:148 with no remainder

Step-by-step explanation:

The number 7696 is called the numerator or dividend, and the number 52 is called the denominator or divisor.

The quotient of 7696 and 52, the ratio of 7696 and 52, as well as the fraction of 7696 and 52 all mean (almost) the same:

7696 divided by 52, often written as 7696/52 is 148 with not decimals meaning that there is no remainder

Hope you have a wonderful day and may your dreams come true!

lfu29

When 7696 divided by 52 then quotient is 148 and remainder is 0.

When you divide 7696 by 52, the quotient is the whole number result of the division, and the remainder is the amount left over.

Let's perform the division:

      148 (quotient)

    ______________

52 | 7696

        7696

       -----

        000

The quotient is 148, and the remainder is 0.

So, 7696 divided by 52 is equal to 148 with a remainder of 0.

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True of False? The line of best fit can only represent data that has a linear association?

Answers

Answer:

True

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!

Answers

Answer:

(-2,3)

Step-by-step explanation:

All points in the dark red area (not on both line) are solutions.

A manufacturer considers his production process to be out of control when defects exceed 3.2%. In a random sample of 136 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 10% level of significance, use the critical value method to test the manager's claim. Enter the test statistic. (Round your answer to nearest hundredth.) 1. Extract Information:
2. Original Claim:
3. Hypothesis
4. Distribution (Graphically);
6 Test Statistic
7. Statistical Conclusion
8. Final Words
5. Critical Value(s):
6.test statistics
7. statistical conclusion

Answers

Answer:

dsynyerjtetuegrjghdgfs

PLEASEEEEEEEEEEEEE HELPPPPPPPPPP Mon wants to make 5 lbs of sugar syrup. How much water and how much sugar does he need to make 25% syrup?

Answers

Answer:

1.25 IB of sugar, 3.75 IB of water

Answer:

1.25lb of sugar , 3.75lb of water

Step-by-step explanation:

just trust me on this one :)

Which of the following equations represents the line with a slope of 2 and a y-intercept of 4?


y = 2x + 4


y = 1/2x - 4


y = 2x - 4


y = 1/2x + 4

Answers

Answer:

The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

y = 2x + 4

Hence, option 'A' is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope b is the y-intercept

In our case, we are given

Slope m = 2y-intercept b = 4

substituting m = 2 and b = 4 in the slope-intercept form of the line equation

y = mx+b

y = 2x + 4

Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

y = 2x + 4

Hence, option 'A' is correct.

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