Car A is moving twice as fast as car B. Car B starts 174. Meters in front of car A. If car A passes car B in 27 seconds, how fast is car B going.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-6) and (-3,-2)

The distance is

[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:

8b and 80

Step-by-step explanation:

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

Answer:

Step-by-step explanatio11n:

116

Answer:

I’m not a hundred percent it’s correct

Step-by-step explanation:

I used the online book to get the answer.

Hope this helps

Using an exponential equation, it is found that the account will enable the person to purchase the computer after 153 months.

An exponential equation of increase is modeled by:

[tex]A(n) = A(0)(1 + r)^n[/tex]

In which

In this problem:

Then:

[tex]A(n) = A(0)(1 + r)^n[/tex]

[tex]A(n) = 200(1 + 0.006)^n[/tex]

[tex]A(n) = 200(1.006)^n[/tex]

You need $500 to purchase the computer, then:

[tex]A(n) = 200(1.006)^n[/tex]

[tex]500 = 200(1.006)^n[/tex]

[tex](1.006)^n = \frac{500}{200}[/tex]

[tex](1.006)^n = 2.5[/tex]

[tex]\log{(1.006)^n} = \log{2.5}[/tex]

[tex]n\log{1.006} = \log{2.5}[/tex]

[tex]n = \frac{\log{2.5}}{\log{1.006}}[/tex]

[tex]n = 153[/tex]

The account will enable you to purchase a computer after 153 months.

A similar problem is given at https://brainly.com/question/14773454

Answer:

boxes of cereal and bags of pretzels

Step-by-step explanation:

I just took the test :)

Answer:

A Box of cereal and pretzels

Step-by-step explanation:

The unit price for each is under 3.99 per item.

Answer:

5/3

Positive 5 over 3

Step-by-step explanation:

(-2)(-5/6)​

10/6

5/3

Answer:

46 Teas and 29 Coffees

Step-by-step explanation:

46×3= 138

29×6= 174

174+138=312

I think you want 8/3 or 2.666666 or mabye 37%

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]6x+3=38-x[/tex]

Subtract 3 from both sides:

[tex]6x+3-3=38-x-3[/tex]

[tex]6x=-x+35[/tex]

Add x to both sides:

[tex]6x+x=-x+35+x[/tex]

[tex]7x=35[/tex]

Divide 7 on both sides:

[tex]\frac{7x}{7}=\frac{35}{7}[/tex]

[tex]x=5[/tex]

Answer:

10 feet

Step-by-step explanation:

i took the test

Answer:

Su diferencia es -1.2

Step-by-step explanation:

Analizando la jerarquía de los números esta va de ascendente (mayor) a decendente (menor).

Como se puede ver tu primer número es 1.1 y el que le sigue es -0.1, ahí se podría hacer la primera ecuación que es una resta de números 1.1-0.1=1.2. Vamos a retomar el segundo valor y poner el resultado que nos dio al principio (recordando la ley de los signos:negativo más negativo, pues se suman pero el signo negativo estará presente ahí), para tener sentido aquí hay una explicación.

-0.1-1.2=-1.3 y lo mismo hacemos -1.3-1.2=-2.5

Answer:

To increase the accuracy of the research results and prevent skewness in the data

Step-by-step explanation:

Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.

In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

Answer:

III

Step-by-step explanation: I just took the quiz

Answer:

-20 - 10 = -30

Answer: -30

Step-by-step explanation: basically -20 + -10 = -30

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

Answer:

Step-by-step explanation:

Perimeter = 32

length = x - 3

width = 2x + 7

Perimeter = 2* Length + 2* width

Perimeter = 2*(x-3) + 2(2x + 7) = 32         Remove the brackets.

2x - 6 + 4x + 14 = 32                                  Combine

6x + 8 = 32                                                 Subtract 1 from both sides

6x = 32 - 8

6x = 24                                                       Divide by 6

x = 24/6

x = 4

So the base = x - 3 = 4 - 3 = 1

The height  = 2*4 + 7 = 8 + 7 = 15

Answer:

Step-by-step explanation:

For the first dataset ...

  d1 = {20, 22, 24, 28, 29, 29, 30}

The deviations from the mean of 26 are ...

  d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}

so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...

  mad = 24/7

__

For the second dataset ...

  d2 = {12, 15, 21, 30, 33, 35, 36}

The deviations from the mean of 26 are ...

  d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}

so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...

  mad = 60/7

x = Edna's age

x + 1 = Ellie's age

x + 2 = Elsa's age

the sum of their ages = 114

Let's set all of their ages equal to 114

x + x + 1 + x + 2 = 114

Combine like terms

3x + 3 = 114

Subtract 3 from both sides

3x = 111

Divide both sides by 3

x = 37

Edna's age = x = 37 years old

Ellie's age = x + 1 = 37 + 1 = 38 years old

Elsa's age = x + 2 = 37 + 2 = 39 years old

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

Answer:

4.5 times 10 Superscript 6 light bulbs

Step-by-step explanation:

I took the test (:

To find the area of the larger figure, let's multiply the length by the width.

9 ft * 4 ft = 36ft^2

Let's do the same thing with the smaller figure.

3 ft * 4 ft = 12ft^2

Let's add the area of both figures together.

36ft^2 + 12ft^2 = 48ft^2

Answer:

2 years

Step-by-step explanation:

If you have $9000 in the saving account, and you take $500, you are left with:

$9000 - $500 = $8500

in one year you will have 3% more of the 8500 which is:

8500/100*3 = $255

so in one year the number on your savings account is:

8500 + 255 = $8755

and by the next year you will have 3% more of the 8755 which is:

8755/100*3 = $262.65

so in two years the number on your savings account is:

8755 + 262.65 = $9017.65

which is a little bit more than the $9000.

so it will take 2 years until the calance again reaches $9000

Please mark braniliest if this reaches 2 answers because I want to get to Expert ;w;

Answer:

Easy .2619

Step-by-step explanation:

hope it helped

Answer:

$1680

Step-by-step explanation:

make use of the simple interest formula:

PRT/100

P is the principle ($8000)

R is the rate of interest (7%)

T is the time (3)

= 8000*7*3 / 100

1680