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3 years ago

What is 2 times 4 by the power of 10

Mathematics

2 answers:

goblinko [34]3 years ago

4 0

Answer: 1073741824 because 2x4 is 8 and 8 to the power of 10 is 1073741824

kobusy [5.1K]3 years ago

4 0

Step-by-step explanation: so you first do 2 times 4 which is 8 then do that to the power of ten which would look like. 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8. Which is 1,073,741,824 done.

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Which reason explains the congruency of these two triangles?

il63 [147K]

These triangles are congruent by the hypotenuse-leg theorem, which states that if the hypotenuse and a leg of two right triangles are congruent, the triangles are congruent.

Answer:
B) HL

Side note: There is not such thing as AAA congruence. (:

4 0

3 years ago

When is the product of two integers less than or equal to both of the two factors

Fiesta28 [93]

When exactly one of the integers is negative.
For example, -24*(36)=-864 which is smaller than any of the factors of the integers.

6 0

3 years ago

Everything else right but just can’t figure that fraction out.

krok68 [10]

Answer: 1/5

Step-by-step explanation: Since there are 5 blue/green marbles in the bag of 20 it would be 5/20 or 1/5.

6 0

3 years ago

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

3 years ago

Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total

____ [38]

Answer:

Kyle’s fixed monthly salary in dollars is $1800

Step-by-step explanation:

let a be the fixed monthly salary

let b% represent the fixed percentage of sales

a+(b%*15000)=2550

a+(b%*25000)=3050

a+(b/100*15000)=2550

a+150b=2550

a+(b/100*25000)=3050

a+250b=3050

now we have

a+150b=2550

a+250b=3050

let subtract a+150b=2550 from a+250b=3050

100b=500

b=500/100=5%

then a+(5%*15000)=2550

a+750=2550

a=2550-750=$1800

8 0

3 years ago