A cake is removed from an oven. The temperature, in degrees Fahrenheit, of the cake after t minutes can be modeled by the equation, f(x)=70+140e^-0.024t.

What is the temperature of the cake at the moment it is removed from the oven and about how long will it take for the cake to reach a temperature of 80F ? Round your answer to the nearest whole minute.

Thank you (:

Answer:

both negative

Step-by-step explanation:

Descartes rule of signs tells us how many positive and negative real roots a polynomial has.

Given

f(x) = x² + 5x + 6 , with signs

+, +, + ← no change of signs, thus no positive zeros

f(- x) = (- x)² + 5(- x) + 6 = x² - 5x + 6 , with signs

+, -, + ← with 2 changes of signs. thus 2 negative zeros

Answer:

B) Both Negative

Step-by-step explanation:

[tex](x^2+5x+6)\\=(x^2+2x+3x+6)\\=x(x+2) + 3(x+2)\\=(x+3)(x+2)\\Hence,\ as\ their\ factors\ are\ (x+3)\ and\ (x+2)\ their\ zeroes\ are\ (-3)\ and\ (-2)\ respectively..\\As\ they\ both\ are\ negative..\ the\ answer\ is\ b)\\\[/tex]

The slope is [tex]\frac{dy}{dx}[/tex] which means it's 100/40 which is 2.5 or 5/2

[tex]d[/tex] has a full time job in defining difference :D

So basically the slope is defined as the difference in the [tex]y[/tex] over the difference in the [tex]x[/tex]

Answer:

5/2

Step-by-step explanation:

To find slope, we can see how much to rise and run from one point to another. In this example, the slope would be 5/2 because you rise 5 and run 2 to get to a different point.

Hope this helps! Have a nice day ^^

Answer:

2(x + 2 )

Step-by-step explanation:

Answer:

5/24 or 20.8%

Step-by-step explanation:

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

Answer:

The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis

Step-by-step explanation:

Let us write the vertices of Δ ABC

∵ Vertex A = (-2, -1)

∵ Vertex B = (0, 0)

∵ Vertex C = (1, -3)

Let us Write the vertices of Δ A'B'C'

∵ Vertex A' = (-4, 2)

∵ Vertex B' = (0, 0)

∵ Vertex C' = (2, 6)

Let us find the scale factor k between the x-coordinates of the points and their images.

∵ -4 = k (-2) ⇒ Divide both side by -2

∵ [tex]\frac{-4}{-2}[/tex] = [tex]\frac{-2k}{-2}[/tex]

∴ 2 = k

∴ The scale factor of a dilation is 2

∵ The signs of the y-coordinates of the images are the opposite of

    the signs of the y-coordinates of the points

∴ The triangle is reflected about the x-axis

∴ The set of transformations has been performed on triangle ABC

   is dilation by a scale factor of 2 followed by reflection about the x-axis

Answer: $60

Step-by-step explanation:

Given that:

Amount left after purchasing sneakers = $12

$12 is equivalent to 20% of the initial starting amount

Let starting amount = x

20% of x = $12

0.2x = $12

Divide through by 0.2

0.2x / 0.2 = $12 / 0.2

x = $60

Hence, starting amount before buying sneakers is $60

Answer:

y=2/3x−4

Step-by-step explanation:

Answer: [tex]y=\frac{2}{3}-4[/tex]

Step-by-step explanation:

Slope[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-4-0}{0-6}\\=\frac{-4}{-6}\\=\frac{4}{6}\\=\frac{2}{3}[/tex]

Since the line hits the y-intercept at -4 the answer is

[tex]y=\frac{2}{3}-4[/tex]

Answer:

140 TICKETS

Step-by-step explanation:

Answer:

PLZ MARK BRAINLIEST!

The answer is $92.25

Step-by-step explanation:

0.85+1.20=$2.05

2.05 times 45= $92.25

Answer:

Hey, want to do a zoom today? I can do one in about an hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope this helps!!!!

Answer:

where is the table??? pls send it

Answer:

No

Step-by-step explanation:

In a function there can only be one x for each y.

Answer:

the height is 0.6367 so the surface area is 68.55

Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.

Therefore,

The cylinder's surface area is 264 cm2 (approximately)

3 unit is the cylinder's radius.

The cylinder's height is 18 units

To locate:

Area of contact

Having said that,

Cylinder surface area = 2r(h + r)

replacing the necessary values,

Surface area is equal to

2 x 22 /7 x 3 × 3( Plus 4)

Surface area equals 264/7 (7)

Surface area equals 1848/7

264 cm2 is the surface area.

The cylinder's surface area is 264 cm2 (about).

To learn more about surface area, refer to:

https://brainly.com/question/27440983

#SPJ2

Answer:

if its not a perfect square(like u can't square it) then its irrational

Answer:

1st. 3 2nd.2

Step-by-step explanation:

Hope this helped and was correct

Answer: 2n^2+3n-4

1st differnce is 3, 7, 11, 15

2nd differnce is 4

so its 2n^2

we compare it to teh 2n^2 sequence

2 8 18 32 50

-1 2 9 20 35

difference is 3, 6, 9, 12,15

so it is 3n-4

Answer:

where's the table. on és la taula?

Step-by-step explanation:

Answer:

"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."

Step-by-step explanation:

Answer:

arabella so b

Step-by-step explanation:

its kinda simple really

Answer:

(d). [tex]\frac{152}{377}[/tex]

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - [tex]\frac{400}{841}[/tex] ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - [tex]\frac{144}{169}[/tex] ) = 5 / 13

sin α = 20 / 29

cos (α + β) = [tex]\frac{21}{29}[/tex] × [tex]\frac{12}{13}[/tex] - [tex]\frac{20}{29}[/tex] × [tex]\frac{5}{13}[/tex] = [tex]\frac{152}{377}[/tex]

Answer:

[tex](-7_{s})^3[/tex]=  -343s

Step-by-step explanation:

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.

Answer:

8.75 or 8 3/4

Step-by-step explanation:7

The numbers in 7 divided by 4/5 are labeled below:

7 = whole number

4 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

7 x 5

4

 =    

35

4

Thus, the answer to 7 divided by 4/5 in fraction form is:

35

4

To make the answer to 7 divided by 4/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

35 / 4 = 8.75

The answer is rounded to the nearest two decimal points if necessary.

35/4 is an improper fraction and should be written as 8 3/4.

Answer:

Step-by-step explanation:

Approximate area is about 50 units²

The closest option is the last one

Answer:

negative number times negative number gives you positive number.

Step-by-step explanation:

-9x-3

=27

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

Answer:

Except 4(a+b+2)

Step-by-step explanation:

It's 4a+4b+8 when expand