7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)

Answer:

a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95  

b. The second and third car seats are appropriate for a 35 lb child.

Step-by-step explanation:

a. Model those ranges with compound inequalities

Let x represent the car seat.

i. A car seat designed for a child weighing up to  and including 25 lb is described by the inequality.

x ≤ 25

ii. A car seat designed for a child weighing between 16 lb  and 35 lb is described by the inequality.

16 < x < 35

iii. A car seat designed for a child weighing between 25 lb  and 95 lb inclusive is described by the inequality.

25 < x ≤ 95

b. Which car seats are appropriate for a  33-lb child?

Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.

Answer:

well assuming that it's linear the

Step-by-step explanation would be: something but you don't want that you want the answer assuming that 7 people came in every 4 trailers the slope or rate of change would be 7/4 and the initial value would be 5.

Answer:

y =1

Step-by-step explanation:

6(2y−9)=-42

Divide each side by 6

6/6(2y−9)=-42/6

2y -9 = -7

Add 9 to each side

2y -9+9 = -7+9

2y =2

Divide by 2

2y/2 = 2/2

y =1

The total number of classes that were taken by you was 28.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question.

Registration fee for the dance class = $15

Amount of money charges for each dance class = $24

Amount of money paid for c number of classes = $687

⇒ [tex]687 = 24c + 15[/tex]

Solve the above linear equation in one variable for c.

[tex]687 = 24c + 15[/tex]

⇒ [tex]687 - 15 = 24c[/tex]

⇒ [tex]672 = 24c[/tex]

⇒ [tex]c = \frac{672}{24}[/tex]

⇒ [tex]c = 28[/tex]

Hence, the number of classes is 28.

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Answer:

[tex]MP= (5,4)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8

[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4

[tex]MP= (5,4)[/tex]

Answer:

c

Step-by-step explanation:

im doing apex too lol just got the answer right

Answer:

b

Step-by-step explanation:

The sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048

Here is the correct question:

What is the sum of the first ten terms of the sequence 4, -12, 36, -108...

From the question,

The given sequence is 4,-12, 36, -108...

This is a geometric progression since it has a common ratio.

The common ratio, r = -3

Recall that,

Given a geometric progression, the common ratio, r is given as

[tex]r = \frac{T_{2} }{T_{1}} = \frac{T_{3} }{T_{2}} =\frac{T_{4} }{T_{3}} = ...[/tex]

From the given sequence,

[tex]T_{1} = 4[/tex]

[tex]T_{2} = -12[/tex]

[tex]T_{3} = 36[/tex]

[tex]T_{4} = -108[/tex]

∴ [tex]r = \frac{-12 }{4} = \frac{36}{-12} =\frac{-108} {36} = -3[/tex]

Therefore, the sequence is a geometric progression with a common ratio of 3

Now, to determine the sum of the first ten terms of the sequence,

From the formula

[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]

Where [tex]S_{n}[/tex] is the sum of n terms

[tex]a[/tex] is the first term

[tex]r[/tex] is the common ratio

and [tex]n[/tex] is the number of terms in the series

From the question

[tex]a = 4[/tex]

[tex]r = -3[/tex]

and [tex]n = 10[/tex] (Since, we are to determine the sum of the first 10 terms)

Now, put the parameters into the formula

[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]

We get

[tex]S_{10} = \frac{4(1-(-3)^{10}) }{1-(-3)}[/tex]

[tex]S_{10} = \frac{4(1-59049) }{1+3}[/tex]

[tex]S_{10} = \frac{4(-59048) }{4}[/tex]

[tex]S_{10} = \frac{-236192 }{4}[/tex]

[tex]S_{10} = -59048[/tex]

Hence, the sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048

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Answer: -11 degrees Fahrenheit

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1)First you want to write out your fractions:

-6       2

___ ÷  ___

 3        -9

2)When you are dividing fractions, you will have to do the reciprocal (flipped version) of 2/-9 and multiply the two fractions instead.

This is how your equation should look like now:

-6          -9

___   • ___

 3          2

3)Now you want to multiply the equation like this:

-6          -9      54

___  •  ___ = ______ = 9

3          2          6

4)You should get an answer of 9.

Answer:

i dont understand the question you are asking

Step-by-step explanation:

Answer:

Time taken by the object = 14 minutes

Step-by-step explanation:

Speed of an object = [tex]9\frac{4}{5}[/tex] miles per hour ≈ 9.8 miles per hour

Distance covered by the object = [tex]2\frac{1}{5}[/tex] miles ≈ 2.2 miles

Formula to calculate the distance in the time 't' is,

Time taken by the object = [tex]\frac{\text{Distance traveled}}{\text{Speed of the object}}[/tex]

                                          = [tex]\frac{2.2}{9.8}[/tex]

                                          = 0.2245 hours

                                          = 13.47 minutes

                                          ≈ 14 minutes

Therefore, distance traveled by the object to cover 2.2 miles = 14 minutes.

Answer:

work is pictured and shown

Hey there! I'm happy to help!

The domain is all of the x-values of a function.

So, we take all of the x-values from our points.

0,-1,2,1

To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.

Have a wonderful day! :D

Answer:{-1,0,1,2}

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

its me makayla my account got blocked so this is my new one

Answer:

7

Step-by-step explanation:

The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.

So in your case, 7 is your m value therefore 7 being your slope

Hii!

__________________________________________________________

Answer:

Slope is 7! ^^

Step-by-step explanation:

Note that the equation of the line is given to us in slope intercept, y=mx+c.

m=slope | c=y intercept.

The slope intercept formula is

y=mx+c.

The equation this question provided us is.

y=7x-5

Slope=7

--

Hope that this helped! Best wishes.

--

Answer:

5/9 & -10/3

Step-by-step explanation:

Set each to 0 and solve:

9x-5 = 0

9x=5

x=5/9

6x+20=0

6x=-20

x=-20/6

x= -10/3   or -3 1/3

In the figure, since the line m and line n are parallel, the value of x is 25/3.

We have,

From the figure,

The two angles are corresponding angles since line m and line n are parallel.

Now,

9x - 5 = 6x + 20

Combine like terms on one side.

9x - 6x = 20 + 5

3x = 25

Divide 5 on both sides.

3x/3 = 25/3

x = 25/3

Thus,

The value of x in the given figure is 25/3.

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Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

Hope This Helps :)

Answer:

the answer to your question is 18 brownies

Step-by-step explanation:

lets say the number of cups of sugar used to make 360 brownies is x

6 = 120

x = 360

cross multiply

120x = 2160

x = 2160/120

x = 18

Step-by-step explanation:

Think of 4.29 and 4.3 as 429 and 430.

Now which is greater, 429 or 430?

430, right? Then we convert them back to decimals.

4.29<4.3

Hope it helps!

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

hope it helps you

this is my answer

Answer:

an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm

Step-by-step explanation:

Step-by-step explanation:

v=u+at

v=0+9.8m/s2 ×4s

v=39.2 ms-1

Final velocity; v =  -39.24 m/s

In free fall, the motion is in the direction of gravity.

Formula for final velocity in free fall is;

v = u + gt

(g is negative)

We are told the ball is dropped from rest.

Thus;

Initial velocity: u = 0 m/s

Time; t = 4 secs

Acceleration due to gravity; g = -9.81 m/s²

Thus, Plugging in the relevant values, we have;

v = 0 + (-9.81 × 4)

v = -39.24 m/s

Final velocity; v =  -39.24 m/s

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An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the 9 cm is covered every 5.5 minutes, hence:

1 mile = 160934 cm;

9 cm = 9 * 1/160934 = 9/160934 mile

1 day = 1440 minutes

5.5 minute = 5.5 *  1/1440 = 5.5/1440 day

Hence:

Speed = distance/time

Speed = (9/160934 mile)/(5.5/1440 day)

Speed = 0.01 mile per day

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

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Answer:

  it depends

Step-by-step explanation:

I like to choose the units to be compatible with the use of the number.

In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)

If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful

If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.

Answer:

Step-by-step explanation:

Answer:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

The expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

The difference between two algebraic expressions is simply gotten by subtract one from the other.

Thus, find the difference between the two algebraic expressions, (6x+y) and (-8x-8y).

(6x+y) - (-8x-8y)

Open the bracket

6x + y + 8x + 8y

Combine like terms

14x + 9y

Therefore, the expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

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Answer:

f(-7) = -3

Step-by-step explanation:

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

Let x = -7

f(x) = ( -7-2)/3

    = (-9)/3

    = -3