A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the sand box?

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

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Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Answer:

See explanation

Step-by-step explanation:

look photo

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

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Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

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Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you were to add 4 to both sides, you would have X + 8 = 11

But when you subract, you get X = 7-4, X = 3.

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

Answer:

y = -3

Step-by-step explanation:

When you graph it on a graphing calculator or on desmos, it appears to be at y = -3

The number of customers who will pay by debit card will be 50.

The fraction is defined as the division of the whole part into an equal number of parts.

Last week there were

32 + 2 + 26 = 60 customers.

That means that the fraction of the customers, who paid by debit card, was

2/60  =   1/30

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 1 / 30 = 1500  /  30  = 50

Therefore the number of customers who will pay by debit card will be 50.

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Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Answer:

8.5

Step-by-step explanation:

7.5 + 8.5 = 16

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing

Answer:

Step-by-step explanation:

Option B

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

Answer: A is the correct answer

Step-by-step explanation:

Its a because the amount keeps doubling so you will start with =

.1 then go too .2 (which is double .1)

then after .2 you will get .4( which is double .2 i will show you the graph.

.1,  .2,  .4,  .8,  1.6,   3.2,   6.4 etc. Then when you get to day 30 you will have

53.687 million dollars, buy the end of them month, you'd be a millionaire.

Answer:

A) 54.5g, B) 1.4g

Step-by-step explanation:

Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Answer:

I am pretty sure it is 100in^3 + s^3

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

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Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure