What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)

Answer:

A) 1,492

B) 1,908

Step-by-step explanation:

A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.

B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.

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:

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

hope it helps you

this is my answer

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

Answer:

-318

Step-by-step explanation:

2^5 - 7^3

25 - 343

= -318

Answer:

[tex]\boxed{\tt -311}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]g^5-h^3[/tex]

and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].

Substitute 2 in for g and 7 in for h.

[tex](2)^5-(7)^3[/tex]

Evaluate the exponents.

⇒ 2⁵= 2*2*2*2*2= 32

[tex]32-(7)^3[/tex]

⇒7³= 7*7*7=343

[tex]32-343[/tex]

Subtract 343 from 32.

[tex]-311[/tex]

The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311

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.

Learn more about algebraic expressions on:

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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:

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.

Learn more about corresponding angles here:

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#SPJ6

Answer: -11 degrees Fahrenheit

Step-by-step explanation:

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:

c

Step-by-step explanation:

im doing apex too lol just got the answer right

Answer:

y=5x

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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:

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

Answer:

f(-7) = -3

Step-by-step explanation:

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

Let x = -7

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

    = (-9)/3

    = -3

Answer:

Step-by-step explanation:

(x - 18)/2 = -14

x - 18 = -28

x = -10

(y - 13)/2 = -18

y - 13 = -36

y = -23

(-10, -23) the other endpoint

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:

right

Step-by-step explanation:

a number line goer -3 -2 -1 0 and 0 isnt -1 or any (bigger? smaller?) negative number

Answer:

shade the bottom part.

Step-by-step explanation:

I'm pretty sure because if y is less than -x -1 , then everything on the bottom is less than that? Sorry if it is not correct.

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

Answer:

work is pictured and shown

Answer:

i dont understand the question you are asking

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore [tex]\overrightarrow{BD} = \vec{v}[/tex]

Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is

[tex]||2\vec{v} || = \sqrt{(2x)^2 + (2y)^2} = \boxed{ \sqrt{4x^2 + 4y^2} }[/tex]

Note: I'm assuming [tex]\vec{v} \in E^2[/tex], which means the segment is in the plain.

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:

oh wow i rlly wish i know the answer to this im sorry

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:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

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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