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2 years ago

Simplify. 6+4(12−15)2 Enter your answer in the box.

Mathematics

2 answers:

xenn [34]2 years ago

7 0

....................

satela [25.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

6+4(12-15)^2

Order Of Operations: Parantheses

6+4(-3)^2

Exponent next:

6+4(9)

Multiplication:

6+36

=42

Hope this helps :)

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Find an exponential function that passes through each pair of points. (2,1.75) & (-2,28)

dusya [7]

Answer:

$f(x) = 7\, ((1/2)^{x})$ .

Step-by-step explanation:

An exponential function is typically in the form $f(x) = a\, (b^{x})$ , where $a$ and $b$ ( $b > 0$ ) are constants to be found.

In this question:

$f(2) = 1.75$ means that $a\, (b^{2}) = 1.75$ .

$f(-2) = 28$ means that $a\, (b^{-2}) = 28$ .

Divide one of the two equations by the other to eliminate $a$ and solve for $b$ .

The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:

$\displaystyle \frac{a\, (b^{-2})}{a\, (b^{2})} = \frac{28}{1.75}$ .

$\displaystyle b^{-4} = 16$ .

$b^{-1} = 2$ .

$\displaystyle b = \frac{1}{2}$ .

Substitute $b = (1/2)$ back into either equation (for example, the first equation) and solve for $a$ :

$a\, ((1/2)^{2}) = 1.75$ .

$a = 7$ .

Substitute $a = 7$ and $b = (1/2)$ into the other equation. That equation should also be satisfied.

Therefore, this function would be:

$f = 7\, ((1 / 2)^{x})$ .

8 0

2 years ago

The perimeter of a rectangle is 7.2 feet. The width is 1.2 feet. What is the length?

Fiesta28 [93]

The length is 2.4

1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4

3 0

3 years ago

Read 2 more answers

You weld two piece's of steel together. The toral thickness is 33/64 inch. If one piece of steel is 9/32 inch thick, how thick t

Anon25 [30]

Subtract the thickness of the known piece from the total thickness.

Because they have different denominators rewrite them to have the same.

9/32 x 2 = 18/64

Now you have 33/64 - 18/64 = 15/64

The other piece is 15/64 inch thick.

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2 years ago

13.58 8% of sale tax

Ganezh [65]

is 12.5 ok I think ,......................,,,,,,

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3 years ago

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the number of buckets of paint n needed to paint a wall varies jointly with the total area a and the thickness t of the wall, an

Nat2105 [25]

The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:

n = k · (a · t) / p

where k is the proportionality constant which we do not know.

We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:

k = (n · p) / (a · t)
 = (5 · 2) / (100 · 3) = 0.0333

Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:

a = (n · p) / (k · t)
 = (8 · 2) / (0.0333 · 6)
 = 80 ft²

Please, note that we made sure to have the exact same units of measurements than the previous case.

Therefore, the correct answer is an area of 80 ft².

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2 years ago