The population of a town is 30,000, and it grows at a
rate of 7.2% per year.
What will the population be in 6 years?

3 is the value of k in the Linear equation .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                   Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

equation 42 ÷ k = 14

              42/k = 14

                42 = 14 * k

                 k = 42/14

                 k = 3

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Answer:

[tex]3x + 8 = 32 \\ 3x = 32 - 8 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8[/tex]

Answer:

Side length z = 20 m

Angle d = 53°

Step-by-step explanation:

Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.

This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.

The scale factor = HI/BC = 25/10 = 2.5

The side length that corresponds to z is AB which is 8 m long.

z = 8*2.5

✅Side length z = 20 m

Corresponding angles of similar triangles are congruent to each other.

Therefore,

✅Angle d = <I = 53°

Answer:

law of sines

law of cosines

Step-by-step explanation:

Answer:

P = $7.00

Step-by-step explanation:

Movie tickets = $8.50

Drink = $4.75

Two friends also bought popcorn

Total spent by the group = $53.75

Given equation:

3(8.50 + 4.75) + 2p = 53.75

Where,

P = cost of one order of popcorn

3(8.50 + 4.75) + 2p = 53.75

25.50 + 14.25 + 2p = 53.75

39.75 + 2p = 53.75

2p = 53.75 - 39.75

2p = 14

p = 14 / 2

p = 7

p = $7.00

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

3÷25.50 to get $8.50 per pizza then you would time that by 10 to get $85 as the total cost

Answer:

picture?

Step-by-step explanation:

Answer:

A ball-and-stick model of a glucose molecule is shown here.

How many of each type of atom are needed to make one

glucose molecule?

PLEASE HELP ME

Step-by-step explanation:

1 molecule of glucose contains 6 atoms of C, 12 atoms of H, and 6 atoms of O • 1 mole of glucose contains 6 moles of C atoms, 12 moles of H atoms, and 6 moles of O atoms. 10 moles of glucose contains 60 moles of C, 120 moles of H, and 60

Answer:

221 minutes

Step-by-step explanation:

It's a known fact that

1 m³ = 1000 L

W(t) = 2*2*5 m^3 + 20t - t²/2

W(t) = 20 + 20t - t²/2, on differentiating, we have

-0.5² + 20t + 20000 = 0, and

t = [40 +- √161600] / 2

= 20 + 20√101 for t > 0

so t = 221 minutes

Answer:

y=5/2x+7

Step-by-step explanation:

y=mx+b

12=m(2)+7

5=2m

m=5/2

Answer:

5

Step-by-step explanation:

if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.

Answer:

x =34

Step-by-step explanation:

180 - 100 = 80

80 = ( x + 12 ) + x

80 = 2x + 12

68 = 2x

x = 34

9514 1404 393

Answer:

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

  d = 25t

__

The rate of change of Felipe's driving speed* is zero, since his speed is given as constant.

Felipe will drive 150 mile in 6 hours, as found using the equation:

  d = 25(6) = 150

_____

* The question posed here asks for rate of change of driving speed. Perhaps, you want rate of change of distance, which is driving speed: 25 miles per hour.

Answer:

135

Step-by-step explanation:

First 12-2=10

Then 3^3=27

After 27 times 10=270

Lastly 270 divided by 2=135

The simplified value of the expression 3³ × (12 - 2) ÷ 2 is 135.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, an expression 3³ × (12 - 2) ÷ 2.

= 27 × (10)×1/2.

= 27 × 5.

= 135.

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Answer:

0

Step-by-step explanation:

=20−5(2^2)

=20−(5)(4)

=20−20

=0

Answer:

3ft

Step-by-step explanation:

it takes a while to explain and I dont have much time, but the answer is 3

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that [tex]\mu = 6[/tex]

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

[tex]P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606[/tex]

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Answer:

Step-by-step explanation:

Is there any sign of addition or subtraction between (c + 3d) and (c - d) or we have to just multiply

If we have to multiply then

2(c + 3d) (c - d)

= 2(c2 - cd + 3cd - 3d2)

= 2(c2 + 2cd - 3d2)

= 2c2 + 4cd - 6d2

Answer:

314.5

2252.5

250

Step-by-step explanation:

Answer:

a) 4,706 scored between 60 and 80

b) A score of 90.6.

c) 81th percentile.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 75, \sigma = 15[/tex]

A. About how many scored between 60 and 80?

Proportion:

This is the pvalue of Z when X = 80 subtracted by the pvalue of Z when X = 60. So

X = 80

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

[tex]Z = \frac{80 - 75}{15}[/tex]

[tex]Z = 0.33[/tex]

[tex]Z = 0.33[/tex] has a pvalue of 0.6293

X = 60

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

[tex]Z = \frac{60 - 75}{15}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.6293 - 0.1587 = 0.4706

How many?

0.4706 out of 10,000, so

0.4706*10000 = 4706

4,706 scored between 60 and 80.

B. Approximately what score did only the top 15% exceed?

The 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

[tex]1.037 = \frac{X - 75}{15}[/tex]

[tex]X - 75 = 1.037*15[/tex]

[tex]X = 90.6[/tex]

A score of 90.6.

C. Find the percentile rank of the person who scored 88.

This is the pvalue of Z when X = 88. So

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

[tex]Z = \frac{88 - 75}{15}[/tex]

[tex]Z = 0.87[/tex]

[tex]Z = 0.87[/tex] has a pvalue of 0.8078

So, rounding up, the 81th percentile.

Answer:

D. 60h = m

Step-by-step explanation:

A proportional equation that represents the relationship will be in the form of m = kh

Where,

Constant of proportionality = k = m/h

Using (2, 120),

k = 120/2

k = 60

Substitute k = 60 into m = kh

Thus:

m = 60h

This can also be written as 60h = m

Answer:

x<9

Step-by-step explanation:

so first you add 4 to both sides,

then it is x<9 right?

WELL THAT'S THE ANSWER :)

pls give me brainliest

ˆ

THEY ARE CORRECT

GIVE THEM BRAINLIST BEFORE THIS GETS DELETED

Answer:

y = ⁴/3x - 7

Step-by-step explanation:

✔️First, find the slope (m):

Slope (m) = ∆y/∆x = 4/3

m = ⁴/3

✔️Determine the y-intercept (b):

The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.

b = -7

✔️Write the equation:

Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).

y = ⁴/3x + (-7)

y = ⁴/3x - 7

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

Answer:

The best unit for measuring how far Micah lives from school is kilometers.

Step-by-step explanation:

Kilometers is a widespread unit derived from SI (System International) unit for length (meter, 1 kilometer equals 1000 meters) used for distances in automotive applications, especially in cars, and among them the car described on statement.

Hence, the best unit for measuring how far Micah lives from school is kilometers.

Answer:

$0.36

Step-by-step explanation:

Answer:

$0.36

Step-by-step explanation:

You divide $1.80 by 5.

9514 1404 393

Answer:

  (c)  $497.90

Step-by-step explanation:

The 8.25% sales tax adds ...

  0.0825 · $459.95 = $37.95

to the price, bringing the total to ...

  $459.95 +37.95 = $497.90

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.

Given :

First, determine the degree of freedom.

[tex]df = 27-1=26[/tex]

The determine the confidence interval using the below formula:

[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]

Now, using the chi distribution the above expression becomes:

[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]

Simplify the above expression.

(21.297 ) ; (64.493)

So, the population variance of 95% confidence interval is:

[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]

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Answer:

a) The sequence of first three terms

5 , 8 , 13 ..

b) The [tex]10^{th}[/tex] of the sequence

a₁₀ = 104

Step-by-step explanation:

Step(i):-

Given [tex]n^{th}[/tex] term of the sequence

  aₙ = n² + 4

put n=1

First term  a₁ = 1² +4 = 1+5

put n =2

Second term a₂ = 2²+4 = 4+4 =8

Put n=3

Third term a₃ = 3² +4 = 9+4 =13

The sequence of first terms

5 , 8 , 13 ..

Step(ii):-

Given [tex]n^{th}[/tex] term of the sequence

  aₙ = n² + 4

put n =10

a₁₀ = 10²+4 = 100+4 = 104

a₁₀ = 104

The [tex]10^{th}[/tex] of the sequence

a₁₀ = 104