Find the measure of the exterior angle.

The growth rate for the population of the rabbits each year is 20%

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Exponential exponential is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:

b = 1.20

growth rate = 1.20 - 1 = 0.20

growth rate = 20%

The growth rate is 20%

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Answer:

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

(8-4)x4 = [tex]4^{2}[/tex]

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

To solve the first one simplify the exponents and then divide them; [tex]4^{2}[/tex] equals 16 and [tex]2^{2}[/tex] equals 4. Therefore the expression is 16/4, which equals 4.

Follow PEMDAS to solve the next one. First paratheses, (8-4) equals 4. Then, multiply by 4. 4x4 can also be rewritten as [tex]4^{2}[/tex].

Simplify the exponents to solve the last expression. [tex]2^{2}[/tex] is 4, so the expression is equal to 4+4, which is 8.

Answer:

0.02314814814 ooooorrrrr...... as a fraction..... 5/6

Step-by-step explanation:

I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!

Answer:

5/6 ( I think )

Step-by-step explanation:

Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!

Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!

If I'm wrong just use the info I gave you, and try it yourself!

I hope this helps, and have a great day!

P.S. Way 2 is easier than Way 1!

Answer:

5/10

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Michelle buys a car that costs $15,000 and that she makes a down payment of $5,000 and later pays $3000 in the next payment.

To get the equation that can be used to find the amount she still owes, C, of the car, we will have to deduct the amount that she has paid from the cost of the car. This will be:

C = 15000 - 5000 - 3000

C = 15000 - 8000

Therefore solving the equation further, the amount left to pay will be:

C = 15000 - 8000

C = 7000

Answer:

J

Step-by-step explanation:

The y-intercept is 3, and the slope is -1/2

Answer: G

the formula is y= mx+c

y -intercept (c) is what number it passes on the y-axis which is 3

to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2

Answer:

QR

Step-by-step explanation:

Other than all opposite pairs of sides are parallel, all other segments intersect at a point.

Answer:

QR

Step-by-step explanation:

QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.

Step-by-step explanation:

The algebraic expression is

20

----

c

or

20/c

Exact Form:

9 /10

Decimal Form:

0.9

Hope this helps :)

Answer:

4/10 + 1/2 would be 9/10 because 1/2 of 10 is 5 so 5/10 +4/10 would equal 9/10 hope that helps :)

Step-by-step explanation:

Answer:

Given info in numersical form:

(14+42)÷(7+4)²

= 56÷11²

= 56÷(11×11)

= 56÷121

= 0.46

Answer:

36 square feet would be your answer

Answer:

Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2

Step-by-step explanation:

This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)

Answer:

x = (s - 3πc^2) / 2πc.

Step-by-step explanation:

s = 2πcx + 3πc^2

2πcx  = s - 3πc^2

x = (s - 3πc^2) / 2πc.

Answer:

50

Step-by-step explanation:

180 − ( 90 + 40 )

180 − 130

50

50 degrees is the missing angle in the triangle

The given triangle is right angle triangle

One angle is 90 degrees and the other angle in the triangle is 40 degrees

We have to find the missing angle in the triangle

By angle sum property the sum of the three angles is 180 degrees in the right triangle

Let x be the missing angle

90+40+x=180

130+x=180

Subtract 130 from both sides

x=180-130

x=50 degrees

Hence, the missing angle in the triangle is 50 degrees

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Answer:

Answer is D

Step-by-step explanation:

(3,-7) and (1,-10) belong toD Variant

The required function is [tex]y=-\frac{3}{4}(x-3)^2-7[/tex] , so the correct option is D.

Important information:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]

Where, [tex]a[/tex] is constant and [tex](h,k)[/tex] is vertex.

Substitute [tex]h=3,k=-7[/tex].

[tex]y=a(x-3)^2-7[/tex]        ...(i)

Graph passes through the point (1, -10). Substitute [tex]x=1,y=-10[/tex] in (i).

[tex]-10=a(1-3)^2-7[/tex]

[tex]-10+7=4a[/tex]

[tex]-3=4a[/tex]

[tex]\dfrac{-3}{4}=a[/tex]

Substitute [tex]a=-\dfrac{3}{4}[/tex] in (i).

[tex]y=-\frac{3}{4}(x-3)^2-7[/tex]

Therefore, the correct option is D.

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Answer:

Doesn't factor

Step-by-step explanation:

We have a polynomial and are asked to factor it.

A rule I like to follow when factoring polynomials is what two numbers multiply to equal c (in this case -2) and add up to b (in this case -6x).

Since no two numbers are eligible to do this, therefore this polynomial is unfactorable.

Answer: -7 x2 -3x2

Step-by-step explanation:

Answer:

The coordinates of D are (2,-2)

Step-by-step explanation:

The coordinates of point D are (2,-2)

The coordinates of the parallelogram are given as:

E(-1,4),  F(5,6) and G (8,0)

For the coordinates to represent a parallelogram, the following must be true

[tex]x_D - x_E = x_G - x_F[/tex]

[tex]y_D - y_E = y_G - y_F[/tex]

So, the equations become

[tex]x_D -(-1) =8-5[/tex] and

[tex]y_D -4 =0-6[/tex]

Solve for x and y in the above equations

[tex]x_D -(-1) =8-5[/tex]

[tex]x_D +1 = 3[/tex]

[tex]x_D = 3-1[/tex]

[tex]x_D = 2[/tex]

[tex]y_D -4 =0-6[/tex]

[tex]y_D - 4 = -6[/tex]

[tex]y_D = 4-6[/tex]

[tex]y_D =-2[/tex]

Hence, the coordinates of point D are (2,-2)

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Answer:

x=5  x= -7

Step-by-step explanation:

Answer:

f = [tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Multiply both sides of the equation by [tex]-\frac{4}{3}[/tex]

f = -4/3 * 5/4

Simplify both sides of the equation.

f = [tex]-\frac{5}{3}[/tex]

i hope this helps :)

Answer:

a) 6:51

b)6:42

c)49 mins

Step-by-step explanation:

Answer:

As BVC is similar to RJC

from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12

Y=12

Answer:

[tex]x=45[/tex]

Step-by-step explanation:

Because the outer angles of a parallelogram always add up to [tex]360[/tex]°, the followijg equation can be used:

[tex]3x+x+3x+x=360→8x=360→x=45[/tex]

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

Answer:

Hose B

Step-by-step explanation:

Charles needs to fill a large fish tank with water using a hose. he has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons , that flows through holes A based on the number of minutes used. A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water rate, in gallons per minute, and what is that rate?

Solution:

The equation of a linear function is:

y = mx + b

where m is the rate of change and b is the initial value of y.

The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the amount of water in gallons and let x represent the time in minutes.

For hose A, we can see that the graph passes through the point (0, 0) and (2, 12). Hence:

[tex]y-0=\frac{12-0}{2-0}(x-0) \\\\y=6x[/tex]

Therefore hose A has a flow rate of 6 gallons per minute.

110 gallons of water flow through hose B in 10 minutes. Therefore:

Flow rate of hose B = 110 gallons / 10 minutes = 11 gallons per minute

Therefore hose B has a higher flow rate

Answer:

4 hours

Step-by-step explanation:

0.5 times 4 hours = 2 dollars. 2 dollars + 2 dollars = 4 dollars

0.75 times 4 = 3 dollars. 3 dollars plus 1 dollar = 4

Answer:

4 hours

Step-by-step explanation:

System of Equations:

(Tubes). c = 2 + .50h

(Rockin).  c = 1 + .75h

set them equal to each other and solve for ’h’

2 + .50h = 1 + .75h

1 = .25h

h = 4

Answer:

59.5

Step-by-step explanation:

Answer:

59.5

Step-by-step explanation:

9.50(6)+2.50

Multiply 9.5 and 6 to get 57.

57+2.5

Add 57 and 2.5 to get 59.5.

59.5

Answer: Charlotte's 15 and Edgar's 7

Step-by-step explanation:

7*2=14

14+1 = 15

15 + 7 = 22

Answer:

Step-by-step explanation:

The system would be 2w+2g=10.50 and 3w+g=6.75 because w is waffles and g is grand slam then you need to isolate w and graph or you could use desmos if you teacher permits to graph

Answer:

1)

[tex] \frac{19}{12} \: or \: 1\frac{7}{12} [/tex]

2)

[tex] \frac{5}{21} [/tex]

Answer:

$5318

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 2650 × 0.04 × 3 = 318

I = $ 318.00

The simple interest accumulated

on a principal of $ 2,650.00

at a rate of 4% per year

for 3 years is $ 318.00.