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vesna_86 [32]
2 years ago
9

Rewrite 1/100,000,000 as a power of 10

Mathematics
2 answers:
Alika [10]2 years ago
4 0

Answer:

10^{-8}

Step-by-step explanation:

\frac{1}{100,000,000}

we rewrite 100,000,000 in power of ten.

We run the comma to the right and the power is positive

100,000,000= 10^8

When we have a power in the denominator of a fraction it goes to the numerator with the opposite sign

\frac{1}{100,000,000}= \frac{1}{10^8}\\\frac{1}{10^8}=10^{-8}

yarga [219]2 years ago
3 0
1/100,000,000 , note that 100,000,000 = 10⁸ , then:

1/100,000,000  = 1/10⁸
Remember that 1/aⁿ  = a⁻ⁿ

Hence 1/100,000,000 = 1/10⁸ = 10⁻⁸

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Solve the inequality for x.<br><br> 2x +3 &lt; -13
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Answer:-8

Step-by-step explanation:

3 0
3 years ago
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Write the interval using interval notation to describe the set of values shown above.
jenyasd209 [6]

The interval on the number line is (-∞, 2) U [3, ∞)

<h3>How to determine the interval?</h3>

From the number line, we have the following inequalities

x < 2 and x ≥ 3

In inequalities, < and > are represented by brackets i.e. ( and )

While ≤ and ≥ are represented by square brackets i.e. [ and ]

So, we have:

x < 2 and x ≥ 3 = 2) and [3

The intervals must be closed and opened with infinity symbols.

So, we have:

x < 2 and x ≥ 3 = (-∞, 2) and [3, ∞)

Replace and with U

x < 2 and x ≥ 3 = (-∞, 2) U [3, ∞)

Hence, the interval on the number line is (-∞, 2) U [3, ∞)

Read more about interval notation at:

brainly.com/question/13048073

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6 0
1 year ago
Question 3<br> Find the equation of the line joining (-2,4) and (3,7)
otez555 [7]

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

7 0
2 years ago
A jet moving at constant speed traveled 6,600 km in 3 hours. What was the speed of the jet?
DanielleElmas [232]

Answer:

The speed of the jet is 2,200\frac{km}{h}

Step-by-step explanation:

The speed traveled by the jet can be found using the relationship between distance and time. Because the problem gives the values for distance and time, they must be replaced in the equation and in this way the requested speed will be found.

1. Write the general equation for the speed:

Speed=\frac{Distance}{Time}

2. Replace the values of distance and time on the general equation for the speed and make the mathematical operations:

Speed=\frac{6,600km}{3hours}

Speed=2,200\frac{km}{h}

Therefore the speed of the jet is 2,200\frac{km}{h}

3 0
3 years ago
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Please help me with this question I’m so confused
zavuch27 [327]

s = ut +  \frac{1}{2} a {t}^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2) {( \frac{1}{2}) }^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2)(  \frac{1}{4} ) \\ s = 5 + ( - 1)( \frac{1}{4} ) \\ s = 5 + ( -  \frac{1}{4} ) \\ s = 5 -  \frac{1}{4}  \\ s =  \frac{20}{4}  -  \frac{1}{4}  \\ s =  \frac{19}{4}

Hope it helps

Please give brainliest

4 0
1 year ago
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