The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number

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Answer: 22.02

Explanation:

I hope this helped!

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- Zack Slocum

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Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

Answer:

You need a protractor

Step-by-step explanation:

to measure the angles

Answer:

Scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Formula for the dilation to be used,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{A'B'}{AB}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].

9514 1404 393

Answer:

  720 square feet

Step-by-step explanation:

The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.

The lateral area is (36 ft)(20 ft) = 720 ft².

Answer:

42

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

(x + 6)(x + 3) = 0

So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

0 = 2x + 9

x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

= -2.25

So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

Answer: 12?

Step-by-step explanation:

Answer:11

Step-by-step explanation:smart

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Answer:

its 55

Step-by-step explanation:

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Answer: 113.49

I hope this helped!

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Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

9514 1404 393

Answer:

  10.5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so ...

  ZX/ZY = CA/CB

  ZX = Zy(CA/CB) = 14(3/4)

  ZX = 10.5

Answer:

24

Step-by-step explanation:

Let x be the number.

[tex]x/4=6[/tex]

Multiply both sides by 4 to isolate x

[tex](x/4)4=6*4\\x=24[/tex]

I hope this helps!

Answer:

Slope is -2

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

the correct answer is 56.55 inches

Step-by-step explanation:

nope. radius = 1/2D so it's 9.

2. r= 14.5

3. d= 42

4. d = 26

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:

Answer:

8 in*11 in*4 in*8 encyclopedias= 2,816 in3

Answer:

y = mx + b

Step-by-step explanation:

Answer:

uhhhhhhhhh help with what ?

Answer:

help u in what please ask the question so we can anwser

Answer:

the 15 multi pack

Step-by-step explanation:

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

10 men can complete a job in 200 days. They started the work. After...

Question: Solve for x and y in the equation.

xy=80 and log x - 2 log y =1

Answer:

x = 40, y = 2

Step-by-step explanation:

xy = 80.......................... Equation 1

logx-2logy = 1

logx-logy² = 1

Applying the laws of logarithm,

log(x/y²) = log10

x/y² = 10

x  = 10y²......................... Equation 2

Substitute the value of x in therms of y equation 2 into equation 1

10y²(y) = 80

10y³ = 80

y³ = 8

y = [tex]\sqrt[3]{8}[/tex]

y = 2.

Substitute the value of y into equation 1

2x = 80

x = 80/2

x = 40

Therefore,

x = 40, y = 2

Answer:

3.5 or 3 1/2

Step-by-step explanation:

1,800-1,450=350

She has 350 calories left to consume 1,800 in total.

There are 3.5 100 calories in 300.

The awnser will be 3.5 or 3 1/2.

She can have 3 1/2 of ice cream.

Hope this helped and you understood :) :)

Answer:

3.5[3 1/2]

Step-by-step explanation:

100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100