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Afina-wow [57]
3 years ago
9

What is one tenth of 200?

Mathematics
1 answer:
jekas [21]3 years ago
6 0
20 is one tenth of 200
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10. Explain why log328 is between 3 and 4.
maw [93]

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

8 0
3 years ago
What are ALL the solutions for 4-9x ≤40
ivolga24 [154]

Answer:

all work is shown and pictured

5 0
2 years ago
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Lisa [10]
First\ step:you\ must\ have\ the\ domain\ (D)\\x\geq0\to D:x\in[0;\ \infty)\\\\Second\ step:use\ \sqrt{a}\cdot\sqrt{a}=\left(\sqrt{a}\right)^2=a\ for\ a\geq0\\\\Solution:\\\sqrt{x}\cdot4\sqrt{x}=4(\sqrt{x})^2=\huge\boxed{4x}

or\ other\ method\\\\First\ step:\ use\ \sqrt{x}=x^{\frac{1}{2}}\\\\\sqrt{x}\cdot4\sqrt{x}=x^\frac{1}{2}\cdot4x^{\frac{1}{2}}\\\\Second\ step:\ use\ a^n\cdot a^m=a^{n+m}\\\\x^\frac{1}{2}\cdot4x^{\frac{1}{2}}=4\cdot x^\frac{1}{2}\cdot x^{\frac{1}{2}}=4x^{\frac{1}{2}+\frac{1}{2}}=4x^1=\huge\boxed{4x}
7 0
2 years ago
rosa is saving money for a trip. she has already saved $250 and plans to save $40 per week. this situation can be represented by
malfutka [58]

Rosa has saved $490 in 6 weeks.

To find the answer to this, simply plug the number of weeks in for the value of x and solve.

f(x) = 250 + 40x

f(6) = 250 + 40(6)

f(6) = 250 + 240

f(6) = 490

5 0
3 years ago
What is the inverse property of the complex number 9-4i
Zina [86]

Answer:

when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:

(a + bi) = -(a + bi)

Given: 9 - 4i

-(9 - 4i) = -9 + 4i

Therefore, the answer is B.

6 0
3 years ago
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