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SOVA2 [1]
2 years ago
13

Write an exponential function in the form y=ab^xy=ab

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

Step-by-step explanation:

let y=ab^x

x=0,y=18

18=ab^0=a

a=18

y=18b^x

when x=2,y=1152

1152=18b^{2}\\b^{2}=\frac{1152}{18}=64=8^2\\b=8\\so~y=18(8)^x

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What is the solution to 8x - 3(2x - 4) = 3(x - 6)?<br> A.30<br> B.2<br> C.6<br> D.No solution
anyanavicka [17]

Answer: A.30

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−3(2x−4)=3(x−6)

Step 1: Simplify both sides of the equation.

8x−3(2x−4)=3(x−6)

8x+(−3)(2x)+(−3)(−4)=(3)(x)+(3)(−6)(Distribute)

8x+−6x+12=3x+−18

(8x+−6x)+(12)=3x−18(Combine Like Terms)

2x+12=3x−18

2x+12=3x−18

Step 2: Subtract 3x from both sides.

2x+12−3x=3x−18−3x

−x+12=−18

Step 3: Subtract 12 from both sides.

−x+12−12=−18−12

−x=−30

Step 4: Divide both sides by -1.

−x/-1 = -30/-1

<h3>x=30</h3>
7 0
2 years ago
What is the definition of undefined term?
maxonik [38]
I think the answer is :

In Geometry, we have several undefined terms<span>: point, line and plane. From these three </span>undefined terms<span>, all other </span>terms<span> in Geometry can be </span>defined. ... The first term<span> is point. The second </span>term<span> is plane. And the third </span>undefined term<span> is the line.
</span>
Hope This Helps.
5 0
2 years ago
Read 2 more answers
What is the slope of the line y = 3?
CaHeK987 [17]
The slope would be 0. Because the line would be flat if all of the y values equal 3, that means the slope = 0. If now x=9 or anything like that, that would be undefined,

I hope this helped! If it does then please thank, rate, and give brainliest answer!
4 0
3 years ago
Read 2 more answers
Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

Z = \frac{X - \mu}{s}

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
1 year ago
Steps to scientific notation
chubhunter [2.5K]
1.Move the decimal place to the left to create a new number from 1 up to 10.
2.Determine the exponent, which is the number of times you moved the decimal.
3.Put the number in the correct form for scientific notation
3 0
3 years ago
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