5th grade math. Correct answer will be marked brainliest.

Answer:

The decay rate is of 0.05 = 5% per minute.

Step-by-step explanation:

Continuous exponential decay model:

The exponential equation of decay for an amount, after t units of time, is given by:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.

A pizza is removed from the oven at a temperature of 425 F.

This means that [tex]A(0) = 425[/tex]

After 15 minutes, the pizza has cooled to 200°F.

This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]

We use this to find r.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]200 = 425e^{-15r}[/tex]

[tex]e^{-15r} = \frac{200}{425}[/tex]

[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]

[tex]-15r = \ln{\frac{200}{425}}[/tex]

[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]

[tex]r = 0.05[/tex]

The decay rate is of 0.05 = 5% per minute.

Answer:

hi

Step-by-step explanation:

1. The area formulas for a triangle and a parallelogram require multiplying base by height.

true

2 .A triangle and parallelogram with the same base and height will have the same area.

false

3. A rectangle and parallelogram with the same base and height will have the same area.

true

4. The area formula of a trapezoid requires finding the product of the bases.

false

5. The base of a triangle is always the shortest side.

false

Answer:

12

Step-by-step explanation:

There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.

In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².

In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².

In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².

In any case, the area of the shape is 22 m².

Answer:x=6

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

your welcome!!!!!!!

Answer:

500 is the number

Step-by-step explanation:

Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

Answer: thats the answer

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

hope this helps

Answer:

miles/time = miles/time

miles/48 min = 4 mi/30 minmiles = 48(2/15)

miles = 96/15

miles = 6.4 miles

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Step-by-step explanation:

Answer:

5.25

alternate form

21/4,5/¼

Answer:

it would become 61

Step-by-step explanation:

the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.

Answer:

x = 12

Step-by-step explanation:

Acvording to the intersecting chord theorem, the products of the line segments formed are equal to each other.

Therefore:

5*x = 10*6

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

Math,social studies,science, etc

Answer:

16

Step-by-step explanation:

This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.

Answer:

i can't understand the question but if you put a link I can figure it out

Answer:

A. Yeah

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.1 h + 11.6 t = 9.98(60)

9.1 h + 11.6 t = 598.8 ........ (1)

h + t = 60 ........ (2)

h = 60 - t

9.1(60 - t) + 11.6 t = 598.8

546 - 9.1 t + 11.6 t = 598.8

2.5 t = 52.8

t = 52.8 ÷ 2.5 = 21.12 ≈ 21 (lb.)

h = 60 - 21.12 = 38.88 ≈ 39 (lb.)

Answer:10*25=250

Step-by-step explanation:

Answer:

-62760

Step-by-step explanation:

Answer:

x = 19/7 , y= -27/14

Step-by-step explanation:

Answer:

Hi! The answer to your question is -14.2b+3.36d-216.05

Step-by-step explanation:

Simplify the Expression.

(=0w0=) Little one, welcome! Aaliyah!

Answer:

Step-by-step explanation:

The answer is 4 questions.

The 10% of 40 is 10×(40/100)

= 400/100

=4

Answer:

5      0.3     1.5

Step-by-step explanation:

you count by 3

To determine the product of 5 and 0.3 using the number line described, make 5 jumps that are each 0.3 units long, you end up at 1.5.

Learn more :https://brainly.com/question/18112348

Answer:

1.4/10=2/5

2.4/8=1/2

3.8/12=2/3

4.7/5=14/10

5.1/3=2/6

Answer: 5X+15

The first one is

The second one is 2(7X+8)

Answer:

y's go

13, 6, 5, 4, -3

Step-by-step explanation:

well so you have the equation y = 5 - x^3

you are given the x for all of them

y = 5 - (-2)^3

5 - (-8) = 13

y = 5 - 0^3

5 - 0 = 5

y = 5 - 1^3

5 - 1 = 4

y = 5 - 2^3

5 - 8 = -3

Answer:

54

Step-by-step explanation:

90 divided by 15 is 6

9 times 6 is 54

Mark me as brainliest if this helps!