Solve the exponential equation.

2-x = 16

4
1/4
-4

Answer:

y = 3/2x - 1.5

Step-by-step explanation:

m = y² - y¹ / x² - x¹

= 9 - 6 / 7 - 5

= 3/2

(5,6)

y = mx + c

6 = 3/2 (5) + c

6 = 7.5 + c

6 - 7.5 = c

c = -1.5

Answer:

1-141

2-39

3-141

Step-by-step explanation:

180-39=141

1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters

I'm pretty sure this is right

Answer:

P(t) = 5.24(1.030)^t

Step-by-step explanation:

The model for P(t) , the population of the town, t years after 1985, best fits the data is option C. P(t) = 5.35 (1.029)^t.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Population growth is an exponential function.

So, the function will be of the form,

P(t) = a (b)^t

Initial population is the population in 1985.

P(0) = a (b)⁰ = 5.35

⇒ a × 1 = 5.35  (Since any number raised to 0 is 1)

⇒ a = 5.35

Population in 1990, that is after 5 years is,

P(5) = a (b)⁵ = 6.01

⇒ 5.35 (b)⁵ = 6.01

⇒ (b)⁵ = 1.123

⇒ b = 1.024

So the function which best models is P(t) = 5.35 (1.029)^t.

Hence the function is C. P(t) = 5.35 (1.029)^t.

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Your question is incomplete. The complete question is given in the image below.

Answer:

15

Step-by-step explanation:

the angle is opposite to 60 so it is also 60

60-45 = 15

Hope this helps :)

Answer:

-0.04x +17.2

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

300 x 0.21 = 63

Answer:

Step-by-step explanation:

Go to algebra calculator it will show the answer.

Answer:

(x-1) (x+8)

Step-by-step explanation:

If you factor this question out correctly, you would get the answer above.

Answer:

-10x^2-5x-16

Step-by-step explanation:

collect like terms

-4x² – 26 + 7x – 6x² + 10 -12x =

-10x^2-16-5x

reorder it in ax^2+bx+c order

-10x^2-5x-16

Answer: For the first one: P=-60

The second one: m=4

Step-by-step explanation:

134+p=74

You move to the right and you change the sign

Like this: p=74-134

Then you Calculate the difference

So p=-60 which is your answer

The second one: 25÷8+m=7 1/8

You divide the numbers like this:3.125m=7 1/8

Convert the mixed number into an improper fraction.. like this: 3.125+m=57/8

Move constant to the right and change the sign

Like this: m=57/8 - 3.125

Convert the decimal into a fraction

m=57/8-25/8

Then you Calculate the difference

So it will be m=4 which is your answer

Let me know if this helps

Answer:

4

Step-by-step explanation:

4 edges, 4 points, 4 angles

Answer:

1. 0.8 2. 1.25 3. 27.5

Step-by-step explanation:

Number 1 is 4/5

Number 2 is just 5/4

And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.

Answer:

Step-by-step explanation:

The question that follows the passage include:

[tex]\text{a. What is the probability that more than 810 consumers claim that how a company } \\ \\ \text { handles a crisis when at fault is an influence in their buying decisions?}[/tex][tex]\text{b. What is the probability that fewer than 1,030 consumers claim that quality} \\ \\ \text{ of product is an influence in their buying decisions?}[/tex]

From the given information:

the sample size = 1100

P = 73% = 0.73

Sample proportion [tex]\hat p = \dfrac{810}{1100} = 0.7364[/tex]

The Z test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.7364 - 0.73}{\sqrt{\dfrac{0.73(1-0.73)}{1100}}}[/tex]

[tex]Z = \dfrac{0.0064}{\sqrt{\dfrac{0.1971}{1100}}}[/tex]

[tex]Z =0.478[/tex]

a) Now the required probability of more than 810 claims is:

[tex]P(X> 810) = 1 - P(X<810) \\ \\ \implies 1 - ( X< 0.478) \\ \\ \implies 1 - 0.68367 \\ \\ = \mathbf{0.3163}[/tex]

b) The probability of less than 1030 consumers is:

Probability of quality product influencers = 96%  = 0.96

Sample proportion [tex]\hat p = \dfrac{1030}{1100}[/tex] = 0.9364

The Z test Statistics is:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.9364 - 0.96}{\sqrt{\dfrac{0.96(1-0.96)}{1100}}}[/tex]

[tex]Z = -3.994[/tex]

[tex]P(X < 1030) = 1 - P(3.99) \\ \\ \implies 1 - 0.99999669 \\ \\ \implies \mathbf{0.00003 }[/tex]

Answer:

7 mph or 11.27 kphe

Step-by-step explanation:

Im pretty sure pls give 5 stars

Answer:

Bottom row - the 4th square

Row above bottom row - the 1st square

Step-by-step explanation:

Bottom row - the 4th square

Row above bottom row - the 1st square

Answer:

3x^{2}+12x-12x-48

3x^{2}-48

Step-by-step explanation:

I hope this answer has helped you

The given factor (3x – 12)(x + 4) is not equivalent to the 3(x2 – 8x + 16) hence, correct option is (A).

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

If we divide algebraic factor by a factor which is available inside then the remainder after the division will be zero.

Given that equation

(3x – 12)(x + 4)

⇒ 3x² + 12x - 12x - 48

⇒ 3x² - 48.

Now by option cross-checking

In option (A)

3(x² – 8x + 16)

⇒  3x² - 24x + 48 which is not equal to the (3x – 12)(x + 4).

Hence correct option will be 3x² - 24x + 48.

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Answer:

-9

Step-by-step explanation:

Remove parentheses.

9(−1)2−7

Subtract 77 from 22.

9(−1)−5

Rewrite the expression using the negative exponent rule b−n= 1/bn

91(−1)5

Raise −1 to the power of 5.

9(1/-1)

Divide 1 by −1.

9⋅−1

Multiply 9 by −1.

−9

Answer:

angle y and angle x

Step-by-step explanation:

Step-by-step explanation:

We have proportion p = 50/100 = 0.50

Probability of success = 1-0.50 = 0.50

To conduct simulation, let's assume experiment is to be done 10 times

1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.

2. We get a random sample and get the size of people who support an against smoking with kids in the car.

3. We repeat this process after drawing sample and also get the number of those in support of ban.

4. After getting n, we find proportion.

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

The ball was rolled 50 times.

6+4+8+12+10+10 = 50

Hope this helps; have a great day!

Answer:

A (3,2)

Step-by-step explanation:

2x +2 = 8

2x = 6

x = 3

Answer:

(3,2)

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

edge 2021

Answer:

207.72 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.

This means that [tex]\mu = 138.5, \sigma = 29[/tex]

The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than

The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.387 = \frac{X - 138.5}{29}[/tex]

[tex]X - 138.5 = 2.387*29[/tex]

[tex]X = 207.72[/tex]

So the answer is 207.72 seconds.

Answer:

168 in³

Step-by-step explanation:

First, you get the area of the triangle - 1/2(7)(6)=21.  Then you multiply it by the height.  21x8=168

Answer:

Answer in explanation

Step-by-step explanation:

The formula for volume of a triangular shape is Volume = base x height x length / divided by 2

1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )

2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )

* make sure you put all your answers for volume in in3

I hope this helped, good luck!