A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a function to model this situation. Determine the percent increase of the population of mice each month.

Answer:

I think choose (c)

4x+1/x²-5

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

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Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

Answer:

They have no minimum y -value

The minimum value for y belongs to f(x) at x=0 and function f(0)=(-2), Option D is correct.

The given function f(x)= x⁵-2

Differentiating the function we get,

5x⁴=0

x=0

Therefore, f(x)=f(0)=0-2=(-2)

Now function g(x)=3x²+1

Differentiating the function we get,

6x=0

x=0

Therefore, g(x)=g(0)=0+1=1

The minimum value for y belongs to f(x) at x=0 and f(0)=(-2)

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Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

Answer:

Jose traveled 52.5 miles in 1 hour

Step-by-step explanation:

What we're actually doing here is finding the "unit rate":  the speed in mph:

 35 mi       105 mi

------------ = ------------ = 52.5 mph = 52.5 miles in 1 hour

2/3 hr         2 hr

Jose traveled 52.5 miles in 1 hour

2×12=24

24+3= 27

12*12=144

144/24=6

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Answer:

i think . it is c

Step-by-step explanation:

Answer:

4x⁴-3x⁴+5x³-3x²+1

Step-by-step explanation:

Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2

Collect the like terms

p (x) - q (x)​ = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2

p (x) - q (x)​  = 4x⁴-3x⁴+5x³-3x²+1

This givess the difference

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

Answer:

12.2

Step-by-step explanation:

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

Answer:

a) Price increased by 75%

b) Price decreased by 42.85%  (or 43% approximate)

Step-by-step explanation:

$ 40 increased by ____ % to $70

[tex]Percentage\ increase = \frac{difference}{ original} \times 100[/tex]

                             [tex]= \frac{70 - 40 }{40} \times 100\\\\=\frac{30}{40} \times 100\\\\= 75 \%[/tex]

$70 decreased by ______ % to $40

[tex]Percentage \ decrease = \frac{difference }{ original } \times 100[/tex]

                               [tex]= \frac{70 - 40 }{70} \times 100 \\\\= \frac{30}{70} \times 100\\\\=42.85 \%[/tex]

Answer:

D : reflection over the y-axis followed by a translation to the right one unit

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

I am sure

Hope this helped u

Answer:A

Step-by-step explanation:

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

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Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

Answer:

BC = 17.1

m<B = 6.7 deg

m<C = 83.3 deg

Step-by-step explanation:

Find BC

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

2^2 + 17^2 = BC^2

4 + 289 = BC^2

BC^2 = 293

BC = sqrt(293)

BC = 17.1

Find <B

tan B = opp/adj

tan B = 2/17

B = tan^-1 2/17

B = 6.7 deg

Find <C

m<A + m<B + m<C = 180

90 + 6.7 + m<C = 180

m<C = 180 - 90 - 6.7

m<C = 83.3

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

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