Cameron’s bacteria population is modeled by an equation. Deon models his bacteria population with a graph. Cameron says that on day 14 , she will have more bacteria than Deon.

Is she right? Why or why not?

The polynomial remainder theorem gives an immediate answer. It says that the remainder upon dividing [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case [tex]q=x+1\implies c=-1[/tex], and we have

[tex]k=p(-1)=(-1)^{999}-(-1)^{100}+3(-1)^9-5=-1-1-3-5=-10[/tex]

Answer:

  $2.25

Step-by-step explanation:

Let c represent the cost of a cup of coffee. Then the total amount paid for 3 cups is ...

  3c + 3c·0.08 = 7.29

  3.24c = 7.29

  c = 7.29/3.24 = 2.25

A cup of coffee costs $2.25.

_____

Comment on "I will give you 100 pointd"

I don't know what a "pointd" is, but I suggest you not make promises you cannot keep.

Answer:

your choice is correct: hyperbola

Step-by-step explanation:

When the plane intersects both naps of the cone, the result is a hyperbola. When only a single nap is intersected (and the plane is parallel to the edge of the cone), the curve is a parabola. An ellipse or circle results when the plane crosses both edges of the cone on the same nap.

Answer:

ellipse

Step-by-step explanation:

Answer:

$2774.47

Step-by-step explanation:

To find how much Antuan's ending balance will be, we can use the formula for compound interest.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

The values that we currently have are:

P = 2590

t = 3

n = 4 quarterly

r = 2.3% or 0.023

Now we can plug these values into our formula.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=2590(1+\dfrac{0.023}{4})^{4(3)}[/tex]

[tex]A=2590(1+0.00575)^{12}[/tex]

[tex]A=2590(1.00575)^{12}[/tex]

[tex]A=2774.47[/tex]

So Antuan's ending balance will be $2774.47.

Answer: 100 cookies approximately.

Step-by-step explanation:

To round to the nearest ten:

- If the digit located in the units place of the number is [tex]<5[/tex], then you must round the number down.

 - If the digit located in the units place of the number is [tex]\geq5[/tex], then you must round the number up.

The digit located in the units place of the number 11 is 1 and [tex]1<5[/tex], therefore you must round the number down to: 10

The digit located in the units place of the number 12 is 2 and [tex]2<5[/tex], therefore you must round the number down to: 10

Multiply 10 by 10 to estimate the total number of cookies:

[tex]Total_{(cookies)}=10*10\\Total_{(cookies)}=100[/tex]

(100 cookies approximately)

Answer:

1

Step-by-step explanation:

find f(2)

    f(2) = 3(2) - 4 = 6 - 4 = 2

Now find h(2)

    h(2) = 8 - 3(2) = 8 - 6 = 2

Now find f(2)/h(2)

  2/2 = 1

The diagonals of kite KITE intersect at point P. This would be at 44 degrees then.

Answer: 44 degrees

..._..._..._..._..._..._

appreciate

Answer:

The statement is True

Step-by-step explanation:

Rhombus is a quadrilateral with the following characteristics;

Answer:

The answer is 4x^3 + 2x^2 + 2x

Step-by-step explanation:

To find a subtracted function, simply change all of the signs in the second function and then combine like terms.

f(x) - g(x) = 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4

f(x) - g(x) = 4x^3 + 2x^2 + 2x

Answer:

volume of the given shape  = 896 cubic centimeters.

Step-by-step explanation:

Given a composite figure is made up of a rectangular prism and a square pyramid.

Now we need to find the volume of that composite shape.

So we can find volume of each part then add both to get total volume.

Volume of rectangular prism = (length)(width)(height) = (8)(8)(13)= 832 cubic centimeter

Base area of square pyramid = (length)(width)=(8)(8)=64

Volume of square pyramid. [tex]=\frac{1}{3}\left(Base\ area\right)\left(Height\right)[/tex]

[tex]=\frac{1}{3}\left(64\right)\left(3\right)[/tex]

[tex]=64[/tex]

Then total volume of the given shape = 832+64 = 896 cubic centimeters.

Answer:

a0 - square

a1 - pyramid

Step-by-step explanation:

Answer:

g(x)

Step-by-step explanation:

y-intercept is the y cutting point, at x = 0.

1. f(x)

This will be an exponential function that starts from 6 and moves upward exponentially. So y-intercept is 6.

2. g(x)

We can see that at x = 0, the value of the function is 2, so that is the y cutting point. So y-intercept is 2.

3. h(x)

We can clearly see from the graph that the y-cutting point is at 4. So y-intercept is 4.

4. j(x)

We can plug in x = 0 into the equation to find y intercept.

[tex]j(x)=10(2)^x\\=10(2)^0\\=10(1)\\=10[/tex]

So y - intercept is 10.

Smallest y-intercept is that of g(x).

Answer:

  37.5 °C

Step-by-step explanation:

The temperature appears to be increasing linearly at the rate of 5 °C in 2 minutes, or 2.5 °C per minute.

1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.

Answer:

The total volume of the snowman is [tex]6\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

step 1

Find the volume of the spherical snowball with a diameter of 3 feet

Find the radius

[tex]r=3/2=1.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1.5)^{3}[/tex]

[tex]V1=\frac{9}{2}\pi\ ft^{3}[/tex]

step 2

Find the volume of the spherical snowball with a diameter of 2 feet

Find the radius

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1)^{3}[/tex]

[tex]V2=\frac{4}{3}\pi\ ft^{3}[/tex]

step 3

Find the volume of the spherical snowball with a diameter of 1 feet

Find the radius

[tex]r=1/2=0.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (0.5)^{3}[/tex]

[tex]V3=\frac{1}{6}\pi\ ft^{3}[/tex]

step 4

Find the total volume

[tex]V=V1+V2+V3[/tex]

substitute the values

[tex]V=\frac{9}{2}\pi+\frac{4}{3}\pi+\frac{1}{6}\pi=\frac{27+8+1}{6}\pi=6\pi\ ft^{3}[/tex]

Answer:

Find the area of a cardboard box with a length of 9 inches and a width of 4 inches.

Step-by-step explanation:

9 in × 4 in = 36 in²

Because there is a maximum rotation of 360°, so if you rotate x° clockwise it's the same as if you rotate (360-x)° counterclockwise.

Answer:

  area of triangle: 1.2975

  area of circle: π ≈ 3.1416

Step-by-step explanation:

The side length (B) is used to compute the perimeter of the triangle. For the 3-sided triangle, the perimeter is ...

  P = 3B = 3·1.73 = 5.19

The "height" (H) measured from the center of the circle to the middle of one side is called the "apothem" (a). The area of the triangle (A) is the product of half that and the perimeter:

  A = (1/2)aP = (1/2)·0.5·5.19 = 1.2975 . . . . . . square units

Answer:

vertically stretched by a factor of 5

Step-by-step explanation:

Multiplying the function value by 5 makes each vertical coordinate 5 times the value it was, so it is 5 times as far away from the x-axis. This has the appearance of stretching the graph vertically by a factor of 5.

_____

Comment on the answer choices

The stretch factor is a "pure number", a ratio of new units to old units. It is "5", not "5 units."

For example, if f(x) is 1 ft (1 unit, where the unit is a foot), then g(x) = 5 ft, the value of f(x) multiplied by 5. It is not 5 ft^2, as you would get if f(x) were multiplied by 5 units, or 5 ft.

Answer:65

Step-by-step explanation:

Answer:6√2  8-9 Irrational number

Answer:

64 and 81, 8 and 9, irrational

Answer:

-14

Step-by-step explanation:

Put -1 where x is in the definition of g(x) and do the arithmetic.

2g(-1) = 2(2·(-1) -5) = 2(-2-5) = 2(-7) = -14

To express the area of a rectangle with a perimeter of 14 in terms of one side, use the function S = 7a - a² where S is the area and a is one side length.

To find the function that describes the area of a rectangle in terms of one of its sides with a given perimeter, we can follow these steps. Let's say one side length is a; we will then call the other side length b. The perimeter of a rectangle is given by the formula P = 2a + 2b, where P is the perimeter, and a and b are the lengths of the sides of the rectangle.

Given that the perimeter is 14, we can express b in terms of a as follows:

b = (14 - 2a) / 2

Next, to find the area (S) in terms of a, we multiply the two side lengths together.

S = a × b

Substitute b into the area formula:

S = a × ((14 - 2a) / 2)

Simplifying the formula gives us the function for the area in terms of side a:

S = (14a - 2a²) / 2

Which simplifies further to:

S = 7a - a²

https://brainly.com/question/15218510

#SPJ11

Answer:

$120

Step-by-step explanation:

✯Hello✯

↪  If we know that the original price was 20% more than what was payed for it we can form an equation

↪  80%(x)=96 when we solve this x=120

↪ The original price was 120

↪  We can check this by working out 20% of 120 which is 24 and 120-24-96

HOPE THIS HELPS

❤Gianna❤

Answer:

x = 36

Step-by-step explanation:

Multiply both sides of the equation by the inverse of the coefficient of x.

(2/1)·(1/2)x = (2/1)·18 . . . . . . . coefficient of x is 1/2, so we multiply by 2/1

x = 36

_____

This "multiplicative inverse" is also called the reciprocal. It has the property that when multiplied by the coefficient of x, the result is 1, the multiplicative identity element. So, your equation becomes ...

1·x = 36

The property of the multiplicative identity element is that anything multiplied by it is that thing. So, 1x = x, and your equation becomes

x = 36

This is the solution you're looking for.

The answer is 36 !!!!!

Answer: B) 3(9+4)

Step-by-step explanation:

B is the correct answer because of the PEMDAS rule telling in what order to solve an expression with more than one operation. (parenthesis, exponents, multiplication, division, addition, subtraction). Therefore, with parentheses coming before multiplication in the PEMDAS rule it would be adding 9+4 and then mulriplying it by three.

Final answer:

The minimum number of books that must contain colored illustrations is 8100.

Explanation:

To find the minimum number of books that must contain colored illustrations, we can use the concept of conditional probability.

The probability of a book having illustrations is 90%, and the probability of an illustration being in color is also 90%. These two probabilities are independent events.

To find the minimum number of books with colored illustrations, we can multiply the probabilities together.

Therefore, the minimum number of books that must contain colored illustrations is 90% x 90% x 10000 = 8100.

Answer:

10.) 116.6

Step-by-step explanation:

10.) add 100^2 + 60^2 = c^2

10,000 + 3600 = c^2

√13,600 = √c^2

116.6 = c

hope this helps!!

Answer:

2

Step-by-step explanation:

x²+8x+y²-6y= -21;

(x+4)²+(y-3)²-25= -21;

(x+4)²+(y-3)²=2²;

it means r²=2²; ⇒ r=2.

The length of one side of the stage is 17 feet.

To find the length of one side of a square, we take the square root of the area because the area of a square is equal to side length squared.

So, the calculation is as follows:

Area of square = side imes side

289 square feet = side imes side

Therefore, side =√289

Calculating the square root of 289 gives us the side length:

side = 17 feet

So, to determine the length of one side of a square stage with an area of 289 square feet, we calculate the square root of the area, which results in 17 feet.

Answer:

x+5=m

Let x be the number of miles that were run the first time.

Add five to the original number

M is the total number of miles for both weeks

Answer:

  x ∈ {-1, 2, 5}

Step-by-step explanation:

The x-intercepts of the graph of the cubic are -1, 2, and 5. These are the values of x that are solutions to the equation.

Answer:

answer is D. -1, 2 , 5

Step-by-step explanation: