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4 years ago

Simplify the expression. Write the answer using scientific notation 8(8.8x10^12)

1 answer:

7 0

Hello!

If our answer is in scientific notation, our answer will be multiplied by 10 to a power. In this case, we will only need to multiply 8 by 8.8.

This gives us 70.4(10^12).

I hope this helps!

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Does the construction demonstrate how to bisect a segment correctly by hand?

nadya68 [22]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

First of all, we can clearly tell that a straightedge was used to create CD but that doesn't prove anything so we can eliminate the second and fourth options. Upon measuring the lengths of AC and CB, we see that they are equal so the answer is Yes; the compass was kept at the same width to create the arcs for points C and D. The reason why this is so important is because we know that AC = CB = BD = DA because the compass width is the same, so therefore, ACBD is a rhombus based on the definition of a rhombus. We know that the diagonals of a rhombus bisect each other and since CD and AB are diagonals, we know that CD bisects AB.

8 0

3 years ago

when a polynomial x^3-ax^2-2x+2a+6 leaves a remainder (a+2) when divided by (x-a), find the value of a.

Tatiana [17]

Answer:

$a = 4$

Step-by-step explanation:

We are given that the polynomial:

$\displaystyle x^3 - ax^2 - 2x + 2a + 6$

Has the remainder (a + 2) when divided by (x - a), and we want to determine the value of a.

Recall that from the Polynomial Remainder Theorem, when dividing a polynomial P(x) by a binomial (x - a), the remainder will be given by P(a).

Since the remainder is (a + 2) when divided by (x - a), P(a) must equal (a + 2):

$\displaystyle P(a) = a+2$

Substitute:

$\displaystyle (a)^3 - a(a)^2 -2(a) + 2a + 6 = a + 2$

Simplify and solve for a:

$\displaystyle \begin{aligned} a^3 - a^3 - 2a + 2a + 6 &= a + 2 \\ \\ 6 &= a+2 \\ \\ a &= 4\end{aligned}$

In conclusion, the value of a is 4.

7 0

3 years ago

Imagine working with a younger sibling or student who is having trouble with the 9 times table. Create an algorithm to help the

Irina-Kira [14]

When 9 is multiplied by a number less than eleven, add 1 to the tens place and subtract 1 from the ones place.

7 0

3 years ago

Read 2 more answers

How many gallons of a 80% antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antif

konstantin123 [22]

440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

Solution:

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

$x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440$

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0

3 years ago

A recipe for 11 pizza crust calls for 3838 tablespoon of salt. How much salt is needed to make 33 pizza crusts?

max2010maxim [7]

Its 11,514 tablespoons of salt

8 0

4 years ago