Which two expressions are equivalent to each other?

Answer:

210°F

110 minutes

Step-by-step explanation:

Given that :

Temperature of cake t minutes after being removed from oven :

f(x)=70+140e^-0.024t

Temperature T the timee it is removed ;

At this point, the time t = 0

f(t)=70+140e^-0.024t

f(x)=70+140e^-0.024(0)

= 70 + 140(1)

= 210°F

how long will it take for the cake to reach a temperature of 80oF

80 = 70+140e^-0.024t

80 - 70 = 140*e^-0.024t

10/140 = e^-0.024t

0.0714285 = e^-0.024t

In(0.0714285) = - 0.024t

−2.639057 = - 0.024t

t = 2.639057 / 0.024

t = 109.9607

t = 110 minutes

Answer:

the line crosses the parabola at (-2,4) and (3,9)

Step-by-step explanation:

y=x^2

y=x+6

set them equal to each other

x^2=x+6, now set it equal to zero

x^2-x-6=0, now find the root

(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept

at x= -2, y=(-2)^2=4, so one point is (-2,4)

at x=3, y=(3)^2=9, so other point is (3,9)

the line crosses the parabola at (-2,4) and (3,9)

Answer:

the answer is C

Step-by-step explanation:

plato

Answer:

Step-by-step explanation:

Using the formulas to find the amount of flour needed:

Correct choice is d.

Answer:

-8a-5=3-6a

-8a+6a=3+5

-2a=8

a=8/-2

therefore,a=-4 answer...

Answer:

a = 4

Step-by-step explanation:

Firstly, make all subtraction signs, addition signs which should look like this

-8a + -5 = 3 + -6a

Add 5 to both, -5 and 3.

-8a = 8 + -6a

Add 8a to both -8a and -6a

2a = 8

Divide both by 2

a = 4

Answer:

linear increasing

Step-by-step explanation:

and b for the second one

Answer:

C

Step-by-step explanation:

Answer:

(D)

Step-by-step explanation:

( [tex]-\frac{3}{16}[/tex] + [tex]\frac{1}{16}[/tex] - [tex]\frac{5}{16}[/tex] - [tex]\frac{1}{16}[/tex] ) ÷ 4 = [tex]\frac{-3+1-5-1}{16}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]-\frac{1}{8}[/tex] pound

Answer:

z = 108

Step-by-step explanation:

9 x 12 = 108

Answer:

I got youuuuuuu, its 108

Answer:

5(-2.1)-4(-8.9)= 25.1

Step-by-step explanation:

lol

Answer:

x=-9

Step-by-step explanation:

2(x-7)-5x=13

Remove the parenthesis

2x-14-5x=13

Collect like terms

-3x - 14 = 13

Move the constant to the right

-3x=13+14

Calculate

-3x=27

Divide on both sides to get the answer

Answer:

-4

Step-by-step explanation:

look at the screenshot

Answer:

ok bett this is good I guess lol

Answer:

x(5) = number of cents

Step-by-step explanation:

If x = the amount of nickels you have, since 1 nickel is 5 cents, you multiply the number of nickels times 5 to get the number of cents. x(5). Examples: 5 Nickels= 5(5) = 25 cents. 7 Nickels = 7(5) = 35. Just plug in the number of nickles for x and solve. Hope this helped! If it did, please give me brainliest. Thanks!

Answer:

Stefan originally spent $120 because we can say 180 dollars(164+16), than they want 150 percent. so 180 x 1.5 =120, but he sold it for 180 dollars so he made an additonal 60 dollars. Hoped that helped.

Answer:

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Step-by-step explanation:

Line segment  is a line with two end points .

" Line is defined as the collection of points in one dimensional plane which has only one dimension  length which extends to infinity."

According to the question,

Definition of line segment :

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Hence, line segment  is a line with two end points .

Learn more about line segment  here

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Answer:

The first one

Step-by-step explanation:

They have 2 outputs for the same input

Answer:

69cm ^2

Step-by-step explanation:

Answer:

About About 21 km/h

Step-by-step explanation: If they travel 63 km in 3 hours then all it is is just 63 divided by 3 or 63/3.

The average speed for the cycle will be 21 km per hour.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

The average speed is defined as the ratio of the total distance traveled and the total time taken by the object.

Given that A student cycles a distance of 63 km in less than 3 hours. The average speed is calculated as:-

Average speed = Distance / time

Average  speed  = 63 / 3

Average  speed = 21 km / hr

To know more about Speed follow

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Answer:

2600

Step-by-step explanation:

Answer:

2600 candles

Step-by-step explanation:

34 x 32 = 1088

47 x 32 = 1504

1088 + 1504 = 2592

2592 rounded is 2600

Answer:

2x2 = 4 + 2 = 6.

Step-by-step explanation:

Answer:

3 ounces more

Step-by-step explanation:

50*3 =1.50

3.00+1.50= 4.50

Step-by-step explanation:

[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the √ leaving

-6x=√3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

Answer: p=side+side+side+side

Step-by-step explanation:The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers

hope that this helps you:)

Answer:

80m --------> 36 shirts

x m ----------> 45 shirts

Thus by the unitary method, the value of x will be;

36 × x = 80 × 45

x = 80 × 9 × 5 / 36

x = 80×5/4

x = 20 × 5

x = 100 shirts.

Answer:

100m

Step-by-step explanation:

80/36= takes 2 2/9 or 20/9 to make one shirt

20/9*45 shirts=100m

Answer:

the shapes below are similar because,

Step-by-step explanation:

36 divided by 4 is 9.

9 is also the length on shape 2.

(9x2) + (4x2) = 36

36 is also the area of shape 2

Answer:

I think it is the area and perimeter are the same

Step-by-step explanation: Shape 1: If the perimeter is 26. one side is 9. 26-18= 8. You divide that to get the measure of the other side which is 4. 9*4=36.          Shape 2: area is equal to 36, one side is for so the other side has to be 9. So the perimeter of shape 2 is 26 too.

Answer:

You should probably double check the problem. The equation you have is just 100-1.25

51.36

7% of 48= 3.36

48 plus 3.36=51.36

:))

Answer:

The answer is 51.36

Step-by-step explanation:

.07×48=3.36

3.36+48=51.36

Answer:

2,3

Step-by-step explanation:

Let the first number be x

Hence, its next consecutive integer = x+1

[tex]Reciprocal\ of\ the\ first\ integer\ = \frac{1}{x} \\Reciprocal\ of\ the\ second\ integer\ = \frac{1}{x+1} \\\\As\ we\ are\ given\ that\ their\ sums\ are\ \frac{5}{6} ,\\\frac{1}{x} + \frac{1}{x+1} = \frac{5}{6} \\\\Through\ butterfly\ method\ of\ resolving\ the\ denominators\,\\\frac{(x+1)+x}{x(x+1)} = \frac{5}{6} \\\frac{2x+1}{x^2+x} =\frac{5}{6} \\6(2x+1)=5(x^2+x)\\12x+6=5x^2+5x\\\\Now, lets\ bring\ all\ the\ terms\ in\ the\ LHS\ to\ RHS.\\\\Hence,\\0=5x^2+5x-12x-6\\5x^2-7x-6=0\\[/tex]

By Factorizing the expression on the LHS. we get it equal to :-

[tex]5x^2-7x-6=0\\5x^2-10x+3x-6=0\\5x(x-2) + 3(x-2) = 0\\(5x+3)(x-2)=0[/tex]

Hence, we get two solutions for x, x=2, x= -3/5

As x is an integer, x=2 is the most suitable solution in this case.

Hence,

The numbers are 2,3

Answer:

z=-58 bc 13-71= -58

Step-by-step explanation: