Write the equation in standard form.
y - 10=-2(x-8)

The approximate population in 2016 is 91, 604 population

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

Substituting into the formula will give:

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

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function!

Step-by-step explanation:

this was a function that the answer (y) is equal to 3

and the X is equal to (-2)

Answer:

This is about a function evaluated at a particular point.  You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.

The function's name is f.

The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable  x.

The 3 is the corresponding value of the dependent variable ("output"), often designated by  the variable y.

The expression can be read as:

"f of negative two is equal to 3"

"the value of f at -2 is 3"

Answer:

[tex]\sqrt{18a}[/tex]

Step-by-step explanation:

To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]

Now with square roots, they multiply like any other number

so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]

Please leave a thanks!!!

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Answer:

5"

root4square+3square=root25

=5

Answer:

she has to minus just as she did before.

Step-by-step explanation:

230-39=191

233-42=191

the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye

Answer:

See below

Step-by-step explanation:

She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.

Answer:

[tex]slope = \frac{20 - 16}{5 - 3} [/tex]

[tex] = \frac{4}{2} [/tex]

[tex] = 2 \: is \: the \: answer[/tex]

The slope of the equation is 2.

The slope of an equation shows a gradient line that measures the steepness of the line.

It can be expressed by using the formula:

[tex]\mathbf{slope = \dfrac{\Delta y}{\Delta x}}[/tex]

[tex]\mathbf{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

From the parameters given;

[tex]\mathbf{slope = \dfrac{20-16}{5-3}}[/tex]

[tex]\mathbf{slope = \dfrac{4}{2}}[/tex]

slope = 2

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Answer:

75.36

Step-by-step explanation:

 Using the formula C = 2πr, we can calculate circumference.

Since we are using 3.14 for π, we plug that and the radius in.

C = 2(3.14)(12).

When you multiply all that you get 75.36

The  probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Hence the  probability that 2 men are selected is 49/144

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Let [tex]f^{-1}(x)[/tex] be the inverse of

[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]

Then by definition of inverse function,

[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

Solve for the inverse :

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]

[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]

[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]

Answer: 1.833 and 3.167

Step-by-step explanation:

1 and 5/6 is demonstrated with this equation:

[tex]1 + \frac{5}{6} , \\\\\frac{6}{6} + \frac{5}{6} = \frac{11}{6} = 1.833\\[/tex]

3 and 1/6 is demonstrated with this equation:

[tex]3 + \frac{1}{6}, \\\\\frac{18}{6} + \frac{1}{6} = \frac{19}{6} = 3.167[/tex]

I can’t help because I can’t see the coordinate plane.

Answer:

Explained below :)

(I tried my best, sorry if it doesn't make sense.)

Step-by-step explanation:

Example: 1/4 - 1/8= ?

1: Find the common denominator (bottom number)

2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.

3: Once you get multiply that then you get 2/8 -1/8.

4: Subtract the numerator (top number) 1

5: Keep the numerator (8)

6: Your answer would be 1/8

Answer:

  5y +6 +7y = 2 (6y + 3 )

Step-by-step explanation:

We can name the blanks 'a' and 'b'. Then we have ...

  5y +6 +7y = a(6y +b)

This will have infinitely many solutions when both sides simplify to the same expression.

  12y +6 = 6ay +ab

To have these expressions be the same, we must have ...

  12 = 6a . . . . same coefficient of y

  6 = ab . . . .  same constant

The first of these equations tells us ...

  a = 12/6 = 2

Then the second equation tells us ...

  b = 6/a = 6/2 = 3

The equation with the blanks filled in is ...

  5y +6 +7y = 2 (6y + 3 )

Answer:

$3.02

Step-by-step explanation:

Convert the Percentage to decimals:

3% / 100% = 0.03

15% / 100% = 0.15

3% / 0.03 part:

19.55 * 0.03 = 0.5865

19.55 + 0.5865 = 20.1365

OR, since it was "adde on" you can just use 1.03:

19.55 * 1.03 = 20.1365

15% / 0.15 part:

20.1365 * 0.15 = 3.020475

Round to nearest cent: $3.02

---

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Answer:

Step-by-step explanation:

$92.43 / 0.74 = $124.91

The total bill is equal to $124.9

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, the given bill as 74% of the total bill as $92.43

Thus the total bill must be = 92.43×100/74

                                            = $124.9

Hence, The total bill is equal to $124.9

Learn more about percentages here:

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Answer:

1/2

Step-by-step explanation:

5 / 10 = 1/2

Answer:

2

Step-by-step explanation:

I got it right bro man my guy I got you

Answer:

Step-by-step explanation:

1 Hour = 60 minutes

60  + 60 = 120 minutes

120 minutes = 2 hours

Add 10 minutes

2 hours 10 minutes = 130 minutes

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

Answer:

16

Have a good day <3

well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.

we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that?  3x - 2.

Check the picture below.

Answer:

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^

Answer:

77) YES , 78) YES , 79) NO , 80) YES

Step-by-step explanation:

77) 12/4=3 and 18/6=3 so YES

78) 30/6=5 and 40/8=5 so YES

79) 36/25=1.44 and 48/40=1.2 so NO

80) 15/5=3 and 13.8/4.6=3 so YES

Answer:

B (x-7<-6)

Step-by-step explanation:

x < 1

Answer:

260

Step-by-step explanation:

A=bh

A=13 x 20

A=260

Answer:

This is false.

Step-by-step explanation:

The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.

The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given are two ratios 5/8 and 10/9.

The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.

Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.

learn more about the unitary method here :

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Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.