Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)

1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown

2. All forms of energy except nuclear fission come from the _________.



3. Energy is ______________.

Put n=50

P(50)

Option C

Answer:

C

Step-by-step explanation:

To find the cost for 50 televisions:

We put the value of n=50

P(50)

1200(50)+700

60000+700

60, 700

Option C

Answer:

60

Step-by-step explanation:

Use PEMDAS (parentheses, exponent, multiply, divide, addition, subtraction)

First, substitute 5 for x:

3(3(5) + 5)

Multipliy inside the parentheses:

3(15 + 5)

Add inside the parentheses:

3(20)

Multiply:

60

There's your answer! Hope I helped.

Step-by-step explanation:

3x and 2x are like terms so,

3x + 5 - 2x

3x - 2x + 5 = x + 5

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to simplify the expression

[tex]\star~~\large\pmb{3x+5-2x}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The like terms here are: 3x-2x; let's combine them:

[tex]\star~\large\pmb{x+5}[/tex]

We can't simplify this any further, because x and 5 are not like terms.

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{Variables\:and\;numbers\;are\;not\;like\;terms}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

Rate is 1.1333 words per second

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

[tex]{ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ [/tex]

Let's find rate in terms of seconds (words per second)

[tex]{ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}[/tex]

Answer:

no

Step-by-step explanation:

they're not same because no angles are mentioned and sides are diff too

Answer:

$1.2

Step-by-step explanation:

There is 12 inches in a foot, and if he needs twice the amount he already has which is 4 then you would multiply 0.05 times 24 and you would get $1.2

Answer: $1.20 for 2 feet of balsa wood

Step-by-step explanation: There are 12 inches in 1 foot, and 24 inches in 2 feet. The cost per inch is 0.05, multiplying 24 (inches) x 0.05 (the cost per inch) would equal $1.20

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

Step-by-step explanation:

[tex]x - 23 = 57 \\ x = 57 + 23 \\ x =80 \\ \\ \frac{2}{3}x = 7 \\ ( \frac{3}{2}) \frac{2}{3}x = 7( \frac{3}{2}) \\ x = \frac{21}{2} [/tex]

Answer: no

Step-by-step explanation:

The ratio of the shorter sides is 27/5, which is equal to 3.4.

The ratio of the longer sides is 78/9, which is about 8.7.

Since the ratio of the longer sides is not equal to the ratio of the shorter sides, it is not a dilation.

The measures of center and variability for the

temperatures that were lower this week than last week include mean, range, mean absolute deviation.

It should be noted that a mean simply means the average set if numbers given.

Also, the range is the difference between the highest number and the lowest number in the data.

Learn more about mean on:

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Answer:

mean,range,mean absolute deviation

Step-by-step explanation:

just took it on edge

Answer:

y = -3/4x + 2

Step-by-step explanation:

The line is parallel to y = -3/4x and passes through the point (4, -1)

=============================================================

Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

⇒ y = -3/4x + 2 [in slope-intercept form]

Answer:

Number #1

Step-by-step explanation:

#1 isn't a function

Answer:

Choice 3 is not a function.

Step-by-step explanation:

Reason: It has points (1,3) and (1,7). X cannot repeat otherwise it is not a function.

Hope this helps!

If not, I am sorry.

Answer:

above

Step-by-step explanation:

the entire method for the question is linked above :)

Answer:

you probably moved on, but for everyone else:

y= 5/2x + 30

Step-by-step explanation:

Answer:

this equation has no solutions.

Step-by-step explanation:

2x+3 = 2x+7

3=7

Answer:

45°

Step-by-step explanation:

ΔABC is an isosceles right triangle. So, one angle is 90°

In an isosceles triangle, base angles are congruent.

Let the base angles be x ,x

x + x +90 = 180 {Angle sum property}

   2x + 90 = 180

          2x  = 180 - 90

          2x = 90

            x = 90/2

           x = 45

Base angle = 45°

Answer:

see the attachment photo!

Answer: 45 degrees

Step-by-step explanation:

90-45 = 45

Answer:

f(g(x))= x

Step-by-step explanation:

f(x)=(4x-3)/2

g(x) =(2x+3)/4

f(g(x)) means use the value obtained from g(x) in the equation defined by f(x).  Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).

If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2

f(x)  =    (4x-3)/2

g(x) =       (2x+3)/4

f(g(x))=(4((2x+3)/4)-3)/2

f(g(x))=(((8x+12)/4)-3)/2

f(g(x))= (2x+3-3)/2

f(g(x))= 2x/2

f(g(x))= x

Answer:

-58

Step-by-step explanation:

x + -5 = -63

x = -63+(-5)

x =- 58

Answer:

The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.

Step-by-step explanation:

Read above.

Answer:

4 ft squared

Step-by-step explanation:

2 add 2 is 4

4 multiplied by 4 is 16

16 divided by 2 is 8

8 divided by 2 is 4

Answer:

Earn $50 every month.

[tex]\implies y = 50x + 1000[/tex]

This is a linear function.

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

[tex]\implies y = 1000(1.03)^x[/tex]

This is an exponential function.

[tex]\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}[/tex]

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

Answer:

4

Step-by-step explanation:

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.

∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.

∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.

∠6  is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

Therefore, the angle of depression is ∠4.

Answer: y - 17 = -2(x-7)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = 9+17/-6-7

   = 26/-13

   = -2

y1 = -17

x1 = 7

y - 17 = -2(x-7)

The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

The general equation of a straight line is-

y = mx + c

where, m is the gradient and is given by y₂ - y₁/x₂ - x₁

and, c is the value where the line cuts y-axis.

Now it is given that the line passes through points (−6,9) and (7,−17)

Therefore we have,

x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17

So, the slope m of the line is given as,

m = (y₂ - y₁)/(x₂ - x₁)

Put the values,

m = (-17 - 9)/(7 - (-6))

m = -26/7+6

m = -26/13

m = -2

Thus, the equation parallel to the line will be given as:

y - y₁ =  m(x - x₁)

y - 9 =  -2{x - (-6)}

y - 9 =  -2(x + 6)

y =  -2x - 12 + 9

y =  -2x - 3

Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

More about equation of line :

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Answer:

A data represent an exponential function because there is a common ratio of 1

Answer:

see the attachment photo!