Expand the function.
f(x)
=
(2x + 3)4
16x4 +
[? ]x3
+
]x2
+
x +
IX +
х

Answer:

c.7203

d.26244

Step-by-step explanation:

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Answer:

[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]

[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]

A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.

A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.

In the given question, the scale factor is given as:

[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet

Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.

So then;

[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet

6.4 inches = x

x = [tex]\frac{6.4 *4.5}{\frac{1}{4} }[/tex]

  = [tex]\frac{28.8}{0.25}[/tex]

x = 115.2

Therefore, the actual width of the office floor is 115.2 feet.

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Answer:

115.2                                                                /\

Step-by-step explanation:                         /     \

What the person above me said.             /         \

Answer:

a(5

b)30

Step-by-step explanation:

in the first one you divide 25 by 5

in the second one you multiply 6 times 5

[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]

Answer:

Area solution

Step-by-step explanation:

A=(16+10)×12/2= 156 m^2

Answer:

50 pushups.

Step-by-step explanation:

simple pattern of adding 10 each time.

Answer:

To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.

1. add all numbers

46+37+34+31+29+24 = 201

2. divide the sum (201) by the amount of numbers you added (6)

201/6 = 33.5

3. and you're done! the mean (which is basically the average) of the given numbers is 33.5

Answer:

SSS

Step-by-step explanation:

The triangles are similar according to SSS rule (side lengths)

You can check it by writing the following equation:

6/9 = 16/24 simplify both sides

2/3 = 2/3

Answer:

$500 donated to charity

Step-by-step explanation:

2,000 times 0.25 is 500

Answer:

$1500

Step-by-step explanation:

Oliver gives 1/4 of the amount he gets paid to charity therefore

2000/4= 500  (this is 1/4 of the amount he gets paid)

2000-500=$1500

He is left with $1500

Answer:

10,080,000 (because 720×14, the total number of days he swam in two

Step-by-step explanation:

Answer:

303

Step-by-step explanation:

math

Answer:

5a. $1.50R + $7

5b. 14 rides

Step-by-step explanation:

5b. $28 - $7= $21/1.50= 14

He can go on 14 rides

If rides be x

The equation is

#B

Put y=28

Total 14 rides

Answer:

question 10

14×50= 700 pages

Answer:

10

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

1. 0.65 = 65/100

not 65/1000

65/1000 is 0.065. We want 0.65.

2. 0.65 = 65/100 = 13/20

Answer:

2, -6

Step-by-step explanation:

x^2 + 4x - 12

A = 1

B = 4

C = -12

i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work

for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X

the bottom part of the x will be your B value which is 4

we have to find multiples of -12 that will also add to 4

so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work

i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula

Answer:

Same thing here as the last question, just matching congruent angles.

1. ΔXZY ≅ ΔQRP

2. ΔQRS ≅ ΔSCD

3. ΔGHI ≅ ΔGHT

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answer:

1.) ΔXZY ≅ ΔQRP

2.) ΔQRS ≅ ΔSCD

3.) ΔGHI ≅ ΔGHT

Hope this helps!

Answer:

3

divide

6

Step-by-step explanation:

Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.

So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.

Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.

This is the final answer, x>6, x is greater than 6.

Answer:

Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late

Step-by-step explanation:

did you miss part of the question while typing?

The number of paintings the designer can hang is 32.

In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.

Number of paintings = length of hallway / length of paintings

The unit of measurement of the hallway and the paintings have to be the same length,

1 foot = 12 inches

24 feet x 12 = 288 inches

Number of paintings = 288 / 9 = 32 paintings

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Answer:

-9> 4

Step-by-step explanation:

-9> 4

Positive numbers are greater than negative numbers and knowing that makes this comparison incorrect.

Hope this helps :)

Answer:

$69 is correct

hope this helps

Answer: $69

Step-by-step explanation:

multiply 23 and 3

Step-by-step explanation:

=4÷8-15

=½-15

= -14½

hope this helps you.

Answer:

-14.5

Step-by-step explanation:

4÷2^3-15

2^3= 8

4÷8-15

4÷8= 0.5

0.5-15= -14.5

-14.5

Answer:

3.84m

Step-by-step explanation:

32*12=384

384/100=3.84

Answer:

384. hope this helps you out

Explain: 32•12=384, but for got to divide it so it equal 3.84

Answer:

3/10

Step-by-step explanation:

Find a common denominator for both fractions.

4/5 - 1/2 = 8/10 - 5/10

Step-by-step explanation:

10 1

20 miles car travel 65t hb

Answer:

First numerator and second denominator

Answer:

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

Step-by-step explanation:

The generic form will be ...

  h(t) = a +b·sin(c(t -d))

The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).

  a = (8 +136)/2 = 144/2 = 72

The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.

  b = (136 -8)/2 = 128/2 = 64

The value of 'c' is the frequency of the motion in radians per second. It will be ...

  c = 2π/(period in seconds) = 2π/127

The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:

  d = 127/4 = 31.75

Then our finished sinusoidal function is ...

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

_____

Additional comment

If we were to use the cosine function instead, the equation could be simpler:

  h(t) = 72 -64·cos(2πt/127)

The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.