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anygoal [31]
3 years ago
5

Name two points that determine line AC.

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer: A & C

Step-by-step explanation:

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33 is 15less than k.
RoseWind [281]

Answer:

  • k = 48

Step-by-step explanation:

Given expression:

  • 33 is 15 less than k

Convert this into equation and solve for k:

  • 33 = k - 15
  • k = 33 + 15
  • k = 48

So the <u>value of k is 48</u>

4 0
1 year ago
Read 2 more answers
What percent is $10,000 out of a 120.000
Svetlanka [38]
10,000 is 8.33% of 120,000.

10,000 / 120,000 = 0.0833 * 100% = 8.33%

Assuming that the whole and percentage is given. find the value of the percentage.

120000 * 8.33% = 9996 ⇒ 10,000

If the percentage is given and its corresponding value. find the whole

10,000 / 8.33% = 120,048 ⇒ 120,000
6 0
3 years ago
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The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its v
topjm [15]

Answer:

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

g(x)=12500(0.91)^{x}

We have the function g(x) that represents the value of a piece of farm equipment after x years.

This means that when x=0 its original value is :

g(0)=12500(0.91)^{0}=12500

Now we want to calculate approximately when will its value be half its original value. Then, we write :

\frac{12500}{2}=6250

6250 is half of its original value. We need to find x that satisfies the following equation :

g(x)=6250=12500(0.91)^{x}

Solving for x :

6250=12500(0.91)^{x} ⇒

0.5=(0.91)^{x}

Now we apply natural logarithm to each side of the equation :

ln(0.5)=ln[(0.91)^{x}]

Using logarithm properties :

ln(0.5)=ln[(0.91)^{x}] ⇒

ln(0.5)=x[ln(0.91)]

x=\frac{ln(0.5)}{ln(0.91)} ⇒

x ≅ 7.3496

The correct option is B. 7.3 years

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=z%5E%7B7%7D%3D128i" id="TexFormula1" title="z^{7}=128i" alt="z^{7}=128i" align="absmiddle" cla
abruzzese [7]

If <em>z</em> ⁷ = 128<em>i</em>, then there are 7 complex numbers <em>z</em> that satisfy this equation.

z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}

\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}

(where <em>n</em> = 0, 1, 2, …, 6)

\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}

\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)

3 0
3 years ago
What percent is equivalent to 8/40
Dmitry [639]

divide:

8/40 = 0.2

0.2 = 20%

4 0
3 years ago
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