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Answer:

Width of the box = 2 inches

Step-by-step explanation:

Volume of a box = length × width × height

Volume of the box = 240 cubic inches

Length of the box = (x + 8) inches

Width of the box = x inches

Height of the box = 12 inches

Volume of a box = length × width × height

240 = (x + 8) * x * 12

240 = (x² + 8x) * 12

240 = 12x² + 96x

12x² + 96x - 240 = 0

x² + 8x - 20 = 0

Solve quadratic equation using factorization method

x² + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x + 10) (x - 2) = 0

x + 10 = 0 OR x - 2 = 0

x = -10 OR x = 2

Width of the box can not be a negative value

Therefore,

Width of the box = 2 inches

Answer:

17000+3400 =

Step-by-step explanation:

Answer:

25,160

Step-by-step explanation:

ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.

Answer:

surface area of the square pyramid

=(10×10)+(2×10×8)

=100+160

=260 yd²

answer is first option

answer:

the answer is going to be ½

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

Answer:

The answer is "A 10 units down traduction, following by 8 pieces right traduction".

Step-by-step explanation:

Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.

Consideration of paragraph A(-6, 4).

When a point (x, y) k is transferred down, it becomes (x, y-k).

So when 10 units are converted to A, it becomes (-6, -6).

When the point (x, y) k units are translated, it becomes (x+k and y)

This manner, it gets 8 units (-6, -6) to the right point (2, -6)

These are the A' coordinates.

Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .

Answer:

2^-6 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{64}[/tex]

=[tex]\frac{1}{2^6}[/tex]

according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.

=[tex]2^{-6}[/tex]

Answer:

Step-by-step explanation:

Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:

[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:

1.61x = 124.95 so

x = 78 m

Answer:

It's Option A. the more detailed answer is in you other, exact same, question.

note that others only get half of the points you pay. the are split between two answers

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

Answer:

[tex]x = 7 \: or \: x = - 7.[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 49 = 0[/tex]

Then

[tex] {x}^{2} = 49 [/tex]

So

[tex]x = 7 \: or \: x = - 7.[/tex]

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7

Given:

Sam left Malaysia at 12 pm local time.

The flight time was 12 hours.

Malaysia is 7 hours ahead of UK.

To find:

The local time in UK when he arrived.

Solution:

It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.

12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.

Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.

12 am is midnight. So, 7 hours before 12 am is 5 pm.

12 am - 7 hours = 5 pm

Therefore, the local time in UK when he arrived is 5 pm.

Answer:

Interest = $ 2247.00

Step-by-step explanation:

principal=$6600

Amount=$8847

time=4 years

Interest=Amount - principal

=$8847 - $ 6600

=$2247 =

=$2247.00

Answer:

B. (1,4)

Step-by-step explanation:

If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

Answer:

B.

Step-by-step explanation:

-y = -3x + 4

y = 3x - 4

slope 3 y-intercept 4

Answer:

She is an undergraduate because more undergraduates are enrolled

Step-by-step explanation:

From the question, we understand that:

Undergraduate > Graduate

This represents the base rate

So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.

The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.

Answer:

Step-by-step explanation:

The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

Answer:

$11,321,630

Step-by-step explanation:

We solve using Exponential growth formula

A(t) = Ao (1 + r)^t

Ao = Initial worth = $94,000

r = Growth rate = 7.3% = 0.073

t = Time in years = 2020 - 1952

= 68 years

A(t) = Current worth in 2020 = After 68 years

A(t) = 94000 × ( 1 + 0.073)^68

A(t) = 94000 × 120.44286946

A(t) = 11,321,629.729

Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630

Answer:

expand the distance between the nearest two integers on your numberline. so, you can find many rational numbers such as fractions between them.

Answer: In representation of rational numbers on the number line are discussed here. We know how to represent integers on the number line.To represent the integers on the number line, we need to draw a line and take a point O on it. Call it 0 (zero).

Set of equal distances on the right as well as on the left of O. Such a distance is known as a unit length. Let A, B, C, D, etc. be the points of division on the right of 'O' and A',B', C', D', etc. be the points of division on the left of 'O'. If we take OA = 1 unit, then clearly, the point A, B, C, D, etc. represent the integers 1, 2, 3, 4, etc. respectively and the point A', B', C', D', etc. represent the integers -1, -2, -3, -4, etc. respectively.

Answer:

let's convert the 25 yards into feets -> 75 feet of wire.

now let's subtract the alrdy used 15 ½ feet from we that

we got 59 ½ feet left

now let's just take ⅓ of this, just by dividing by 3.

since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.

59 ½ feet = 59½*12 inches = 714 feet

now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)

⅓ of 714 is just as dividing 714 by 3

= 238

the time machine needs 238 inches of wire

this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations

Answer:

if the formela right

so this is the answer

Answer:

A. 3 * 10^4

Step-by-step explanation:

9 * 10^7

3 * 10^3

9 is 3 times 3, so there is 3

10^7 is 10^4 times 10^3, so there is 10^4

So it is 3 * 10^4

Answer:

hope it helps...

have a great day!!