After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.

Answer:

3

8

+

4

0

+

1

2

0

=

3

4

−

7

(

2

0

−

1

9

)

{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)

1

5

8

+

4

0

=

3

4

−

7

(

2

0

9

)

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

m=-2/3

b=-7

First, find the slope-intercept form.

y=mx+b

You know what the m and b values are, so simply plug them into the equation.

Slope-Intercept Form

y=-2/3x-7

From there, let's find the point-slope equation.

An easy way to find a coordinate point that the line crosses is to set one of the x or y variables equal to 0.

So let's set the x to 0.

y=-2/3x-7

y=-2/3(0)-7

y=-7

Therefore, when x is 0, y is equal to -7. We can now write our point. (0,-7)

Use the point-slope formula to write the point-slope equation.

y-y1=m(x-x1)

Point-Slope Equation

y-(-7)=-2/3(x-0)

Now, to find the standard form equation, let's find it using our slope-intercept equation. The formula to find standard form is

ax+by=c

y=-2/3x-7

Standard Form Equation

2/3x+y=-7

Answer:

A. Negative

Step-by-step explanation:

This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.

Answer:

Negative

Step-by-step explanation:

We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.

Answer: B.

Steps:

solve the inequalities

x <= -3

x>3

match to number line

answer B

Answer:

#LINE B

Step-by-step explanation:

(make sure to look at the color and direction of the arrow)

Answer:

it's a answer!!

Step-by-step explanation:

ITS AN ANSWER BECAUSE IT CAN BE! THATS WHY! BLAH BLAH BLAH! I do not say blah blah blah

Answer:

Solution is in the photo

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

Answer:

4.7 kilograms

Step-by-step explanation:

[ 1000 g = 1 kg ]

Change 4700g into kg,

→ 4700 ÷ 1000

→ 4.7 kg

Answer:

C)The sea

Step-by-step explanation:

Ares is the god of war

Hades is the god of the underworld

Cronos is the god of time

Answer:

Use the table to complete the statements.

The x-intercepts shown in the table are  

(–2, 0)

and  

(2, 0

.

The y-intercept shown in the table is  

(0, –4)

.

Step-by-step explanation:

I hope this helps.

Answer:-

   ∴x−3y−4z=0

Explanation:

First we rearrange the equation of the surface into the form f(x,y,z)=0

   x2+2z2=y2

   ∴x2−y2+2z2=0

And so we have our function:

   f(x,y,z)=x2−y2+2z2

In order to find the normal at any particular point in vector space we use the Del, or gradient operator:

   ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk

remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:

   ∇f=(∂∂x(x2−y2+2z2))ˆi+

                    (∂∂y(x2−y2+2z2))ˆj+

                    (∂∂z(x2−y2+2z2))ˆk

      =2xˆi−2yˆj+4zˆk

So for the particular point (1,3,−2) the normal vector to the surface is given by:

   ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk

So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:

   →r⋅→n=→a⋅→n

Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane

Hence, the tangent plane equation is:

   ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠

   ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)

   ∴2x−6y−8z=2−18+16

   ∴2x−6y−8z=0

   ∴x−3y−4z=0

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

#CARRYONLEARNING

..LOVEUALL...

Answer:

The answer is in the screenshot.

Step-by-step explanation:

Answer:

jijijija

Step-by-step explanation:

Answer:

  s = -52

Step-by-step explanation:

We assume you want to find the value of s.

  [tex]\dfrac{12+s}{-20}=2\\\\12+s=-40\qquad\text{multiply by -20}\\\\\boxed{s=-52}\qquad\text{subtract 12}[/tex]

Answer:

57

Step-by-step explanation:

...........................

If you add 2 to 55 it’s going to equal 57

Answer:

no

Step-by-step explanation:

If it represented a function then it wouldn't be curved. curved lines don't represent a function

Step-by-step explanation:

-n + (-4) - (-4n) + 6 = -n - 4 + 4n + 6 = 3n + 2

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n-4+4n+6

= 3n-4+6

= 3n+2

Answer:

bestie so do i

Step-by-step explanation:

Answer:

16^2

Step-by-step explanation:

All you have to do is do 64 *.25 and you get 16

The area of the smaller pentagon is 4 in². thus option B is correct.

The ratio of the side lengths are given:

Small : Large = 3.5 : 14

The area of the larger pentagon is given;

Area = 64 in²

By Using the given parameters, the area of the small pentagon:

Area = (Small/Large)² * Area of Large

Area = (3.5/14)² * 64

Area = 4

Hence, the area of the smaller pentagon is 4 in². thus option B is correct.

Read more about areas:

brainly.com/question/24487155

#SPJ2

Answer:

see explanation

Step-by-step explanation:

y(x + 1) = 51 ← substitute y = 3 into the equation

3(x + 1) = 51 ( divide both sides by 3 )

x + 1 = 17 ( subtract 1 from both sides )

x = 16

Given:

What to prove: x = 16

We have now proved that x = 16.

Hoped this helped.

[tex]BrainiacUSer1357[/tex]

Answer: slope = 3

Step-by-step explanation: 3x - y = 24

                                             3x - 3x -y = 24 -3x

                                             -y = -3x + 24

                                              -y/-1 = -3x + 24/1

                                               y = 3x - 24

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

Answer:

C

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

Answer:

it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c

Step-by-step explanation:

Option B

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