All categories

3 years ago

100,000 equals 10 to the what power?

Mathematics

2 answers:

LiRa [457]3 years ago

5 0

Answer: 10 to the 5th power

Step-by-step explanation: Since 100,000 is a whole number, the exponent on our power of 10 will be positive.

To determine the value of the exponent, we first write a decimal point at the end of 100,000.

Next, we count the number of places we would need to move the decimal point in order to get 1.0.

In this problem, we would need to move the decimal point 5 places to get 1.0 which means that we will have an exponent of 5.

Therefore, 100,000 is equal to 10 to the 5th power.

Likurg_2 [28]3 years ago

4 0

100,000 equals 10 to the power of 5, hope helps.

You might be interested in

3 ÷ 1/8 show your work on paper! :D

nirvana33 [79]

Answer:

$3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24$

3 0

3 years ago

Let a and b be roots of x² - 4x + 2 = 0. find the value of a/b² +b/a²

erastovalidia [21]

Answer:

$\dfrac{a}{b^2}+\dfrac{b}{a^2}=10$

Step-by-step explanation:

Given equation: $x^2-4x+2=0$

The roots of the given quadratic equation are the values of x when $y=0$ .

To find the roots, use the quadratic formula:

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=1, \quad b=-4, \quad c=2$

$\begin{aligned}\implies x & =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(1)(2)}}{2(1)}\\& =\dfrac{4 \pm \sqrt{8}}{2}\\& =\dfrac{4 \pm 2\sqrt{2}}{2}\\& =2 \pm \sqrt{2}\end{aligned}$

$\textsf{Let }a=2+\sqrt{2}$

$\textsf{Let }b=2-\sqrt{2}$

Therefore:

$\begin{aligned}\implies \dfrac{a}{b^2}+\dfrac{b}{a^2} & = \dfrac{2+\sqrt{2}}{(2-\sqrt{2})^2}+\dfrac{2-\sqrt{2}}{(2+\sqrt{2})^2}\\\\& = \dfrac{2+\sqrt{2}}{6-4\sqrt{2}}+\dfrac{2-\sqrt{2}}{6+4\sqrt{2}}\\\\& = \dfrac{(2+\sqrt{2})(6+4\sqrt{2})+(2-\sqrt{2})(6-4\sqrt{2})}{(6-4\sqrt{2})(6+4\sqrt{2})}\\\\& = \dfrac{12+8\sqrt{2}+6\sqrt{2}+8+12-8\sqrt{2}-6\sqrt{2}+8}{36+24\sqrt{2}-24\sqrt{2}-32}\\\\& = \dfrac{40}{4}\\\\& = 10\end{aligned}$

6 0

2 years ago

Read 2 more answers

You are given this equation: 2(6x + 6)= 3(x – 4) + 5. What is the first step in solving for x? Why?

NARA [144]

Answer:

The first first in solving for x is do the distributive property to the left and right of the eqaution. Distribute 2 with 6x and 6. Distribute 3 with x and -4.

Step-by-step explanation:

PEMDAS states that you do things in the parenthesis first.

3 0

3 years ago

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

lakkis [162]

Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49

7 0

3 years ago

Read 2 more answers

How many yards are there in 1260 feet? A. 105 yards B. 210 yards C. 3780 yards D. 420 yards

frez [133]

The answer is D. 420 yards because 1yd. = 3 ft. 1260 divided by three = 420

7 0

4 years ago