Evaluate the following expression if x = 4 and y =2

2x + 3y

Answer:

x > 125

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

x/25 > 5

Step 2: Solve for x

Here we see that any number x greater than 125 would work as a solution.

Answer:

Yes - I MEAN NO

Step-by-step explanation:

bigger 1st number - 2ND NUMBER BIGKER

Answer:

No, because 2175 is larger than 1087.5

Step-by-step explanation:

Answer:

x = 6.6

length of DE = 16.2

Step-by-step explanation:

edge 2020

Answer:

17/24

Step-by-step explanation:

Apply the AB rule, Adjust the fractions based on LCM, then you want to apply the a/b fraction rule which would allow you to do -15+23/24 which gives you 17/24. Hope this helps!

Answer:

1/5

Step-by-step explanation:

I JUST DID THE MATH

Answer:

s + s + 6 = 44

2s = 38

2s + 6 = 44

Step-by-step explanation:

Given parameters:

Length of the board  = 44inches

Unknown:

equation to find the shorter piece s = ?

Solution:

 let the longer piece  = L

 Shorter piece  = s

s + L = 44 ---- i

Now,

   L  = s + 6 ----- ii

put L  = s + 6 into i;

  s  + s + 6  = 44

     2s + 6  = 44

    2s  = 44 - 6

    2s  = 38

Answer:

$34.5

Step-by-step explanation:

$3.45 for 3/4

-Divide by 3-

$1.15 for 1/4

-Multiply by 4-

$4.6 for 4/4 OR 1

-Multiply by 7.5-

$34.5 for 7.5

Missing Part of the question:

a) Assume you wish to determine the maximum and minimum temperatures you would experience. the domain to study for the function H(x) would be?

b)The is one critical number for the function on the domain in part a and it is?

c) The maximum temperature you would experience is ?

d) The minimum temperature you would experience is ?

Answer:

a. Domain : [tex]4 \leq x \leq 41[/tex]

b. Critical point: [tex]x = 12.33[/tex]

c. The maximum is 115.09

d. The minimum is 100.62

Step-by-step explanation:

Given

[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Solving (a): The domain of H(x)

From the question, we understand that the distance between the two stores is 45ft

Let the first stove be at point A (0 ft) and

the second stove be at point B (45ft)

Since you move back and forth within 4ft from either stoves, then

Your maximum distance at A is (0 + 4) ft = 4ft

Your minimum distance at B is (45 - 4) ft = 41ft

Hence, the domain is: [tex]4 \leq x \leq 41[/tex]

Solving (b): Critical Value

First, we have to differentiate H(x) w.r.t x

[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Differentiate

[tex]H'(x) = 0 -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

[tex]H'(x) = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

Equate H'(x) to 0

[tex]0 = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

Rewrite as:

[tex]\frac{120}{x^3} = \frac{480}{(45- x)^3}[/tex]

Cross Multiply

[tex]480 * x^3 = 120 * (45 -x)^3[/tex]

[tex]480 * x^3 = 120 * (45 -x)*(45 -x) * (45 -x)[/tex]

[tex]480 * x^3 = 120 * (2025 -90x +x^2) * (45 -x)[/tex]

[tex]480 * x^3 = 120 * (91125 -4050x +45x^2 -2025x - 90x^2 - x^3)[/tex]

[tex]480 * x^3 = 120 * (91125 -4050x -2025x+45x^2 - 90x^2 - x^3)[/tex]

[tex]480 * x^3 = 120 * (91125 -6075x-45x^2 - x^3)[/tex]

Divide both sides by 120

[tex]4x^3 =91125 -6075x-45x^2 - x^3[/tex]

[tex]4x^3 +x^3-91125 +6075x+45x^2= 0[/tex]

[tex]5x^3-91125 +6075x+45x^2= 0[/tex]

[tex]5x^3+45x^2 +6075x-91125= 0[/tex]

Divide through by 5

[tex]x^3+9x^2 +1215x-18225= 0[/tex]

Solving for x, we have that

[tex]x\approx \:12.33067[/tex]

[tex]x = 12.33[/tex]

Hence, the critical point is 12.33

Solving (x): Maximum temperature

Here, we simply substitute the endpoints of the domain in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Let x = 4

[tex]H(4) = 100 + \frac{60}{4^2} + \frac{240}{(45 - 4)^2}[/tex]

[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{(41)^2}[/tex]

[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{1681}[/tex]

[tex]H(4) = 100 + 3.75+ 0.14277215942[/tex]

[tex]H(4) = 103.892772159[/tex]

[tex]H(4) = 103.89[/tex] --- approximated

Let x = 41

[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{(45 - 41)^2}[/tex]

[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{4^2}[/tex]

[tex]H(41) = 100 + \frac{60}{1681} + \frac{240}{16}[/tex]

[tex]H(41) = 100 + 0.03569303985 + 15[/tex]

[tex]H(41) = 115.03569304[/tex]

[tex]H(41) = 115.04[/tex] ---- approximated

Compare both values: The maximum is 115.09

Solving (d): The minimum temperature

In (b), we have that:

[tex]x = 12.33[/tex] --- critical point

The minimum occurs at this point

Substitute 12.33 for x in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{(45 - 12.33)^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{32.67^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{152.0289} + \frac{240}{1067.3289}[/tex]

[tex]H(12.33) = 100 + 0.39466180443 + 0.22486039682[/tex]

[tex]H(12.33) = 100.619522201[/tex]

[tex]H(12.33) = 100.62[/tex] --- approximated

Hence, the minimum is 100.62

Answer:

-47 33 -243 907 -88

Step-by-step explanation:

Answer:frozen turkey is $11.00 fresh is $20.28 cents

Step-by-step explanation:

so $8.40 cents

Answer:

AB(6;-12)

Step-by-step explanation:

The length of AB is 10 units.

A line segment is a subset of a line which has two end points.Distance of a given line segment with two endpoints and a pair of co-ordinates can be obtained by [tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex] this formula know as distance formula.

According to the given question co-ordinate of two points are given and we have to find the distance.

We know that distance between two points is given by  

[tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Here A = (x₁,y₁) = (-2,10) and B = (x₂,y₂) = (4,-2).

∴ AB = [tex]\sqrt {\left( {-2 - 4 } \right)^2 + \left( {10 -2 } \right)^2 }[/tex].

AB = [tex]\sqrt {\left( {-6} \right)^2 + \left( {8 } \right)^2 }[/tex]

AB = [tex]\sqrt {\left( {36} \right) + \left( {64} \right) }[/tex]

AB = [tex]\sqrt {100}[/tex]

AB = 10 units.

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Answer:

[tex] R_2 = \dfrac{R_1R_T}{R_1 - R_T} [/tex]

Step-by-step explanation:

[tex] R_T = \dfrac{R_1R_2}{R_1 + R_2} [/tex]

[tex] (R_1 + R_2)R_T = R_1R_2 [/tex]

[tex] R_1R_T + R_2R_T = R_1R_2 [/tex]

[tex] R_2R_T - R_1R_2 = -R_1R_T [/tex]

[tex] R_2(R_T - R_1) = -R_1R_T [/tex]

[tex] R_2 = \dfrac{-R_1R_T}{R_T - R_1} [/tex]

[tex] R_2 = \dfrac{R_1R_T}{R_1 - R_T} [/tex]

Answer:

There is no blocking variable, and incentive plans will be randomly assigned to the workers.

Step-by-step explanation:

The options are missing and they are;

A ) There is no blocking variable, and incentive plans will be randomly assigned to the workers.

B ) There is no blocking variable, and the workers were selected at random.

C)  Each incentive plan is a block, and a completely randomized design is not blocked.

D ) Each plan will be randomly assigned to 10 pairs of workers who share a similar characteristic.

E ) The number of workers participating in the study was greater than or equal to 30.

The option that best describes  why a completely randomized design is an appropriate design to use in this situation is;

Option A; There is no blocking variable, and incentive plans will be randomly assigned to the workers.

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Answer:

y= 0.5x + 8.2

$13.6 per hour

Step-by-step explanation:

(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.

"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.

Also, you should have learned this in 9th grade. So, check your notes.

If you don't have it, WRITE IT!!!

To find it in your calculator:

1. Go to "Lists and Spreadsheets"

2. Rename the first column "x" and the second on "y"

3. Write all of your numbers in the right column

1, 5, 3, 7 under the "x"

8.67, 10.50, 9.58, 11.41 under the "y"

4. Move your cursor to an empty cell

4. Click: "MENU" #4 #1 #3

5. Rename the correct rows "x" and "y" and press enter

6. Now you can find "m" and "b"

7. Then move your cursor to an empty cell and click "doc" "insert" #7

8. Find the x-axis and find "x"

9. Find the y-axis and find "y"

10. Now press "MENU" #4 #6 #1

And you found your y=mx+b: y=0.5x+8.2

Now, how much money per hour.

So you've found your m and b but now you have to:

1. Replace y with 15 and solve it

15=0.5x+8.2

-8.2       -8.2

6.8=0.5x

Divide 0.5 on both sides

6.8/0.5=13.6

13.6=x

$13.6 per hour

Step-by-step explanation:

2x²+11=131

2x²=131-11

2x²=102

x²=102

2

x²=51

x=√51

Answer:

Did u ever find the answer

Step-by-step explanation:

and if u didn't just tell me

Answer:

3/14

Step-by-step explanation:

First off, we will turn the fractions into a different form. 3 1/4 will be 13/4 and 3 1/2 will be 7/3

Then, you want to turn 7/3 into 3/7 and multiply them

1/2 x 3/7 = 3/14

Answer:

$15,059

Step-by-step explanation:

4.1 x 9 = 36.9

36.9% of 11,000 = 4059

11,000 + 4,059 = 15,059

The value of the investement after 9 years ompounded continuously is .$15792.44

Compound interest is the interest on an amount of money invested

The formula for calculating compound interest is expressed as:

A =P(1+r)^n

Given

P = 11000
r = 4.1% = 0.041

n = 1

t =9 years

Substitute

A = 11000(1+0.041)^9
A = 11000(1.041)^9
A= .$15792.44

Hence the value of the investement after 9 years ompounded continuously is .$15792.44

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Answer:

342:608

Step-by-step explanation:

from the start and end up to the last

Answer:

83.07

Step-by-step explanation:

If you multiple the original price $78 times the sale tax in decimal form 0.065 you get 5.07, $78 + $5.07 = 83.07.

Answer:

[tex]y[/tex] is decreasing by 10 units per second.

Step-by-step explanation:

Given information:

The particle moves on the hyperbola [tex]xy=15[/tex]

Time [tex]t\geq 0[/tex]

Now at a certain instant , [tex]x=3[/tex] and [tex]\frac{dx}{dt} = 6[/tex]

Now, Differentiating [tex]xy=15[/tex] with respect to [tex]t[/tex]

We get:

[tex]x.\frac{dy}{dt} +y.\frac{dx}{dt} =0[/tex]

Now substitute the values in above equation:

[tex]3\frac{dy}{dt}+ 5 \times 6=0[/tex]

[tex]3 \frac{dy}{dt}=-30\\\frac{dy}{dt} =-10[/tex]

The negative sign indicates that [tex]y[/tex] is decreasing by 10 units per second.

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The particle follows hyperbolic path. The value of  [tex]y[/tex] is decreasing at the rate of [tex]10[/tex] units per seconds.

Given: A particle moves on the hyperbola [tex]xy=15[/tex] for time [tex]t\geq0[/tex] seconds. At a certain instant, [tex]x=3[/tex] and [tex]dx/dt=6[/tex].

According to question,

hyperbola curve is [tex]xy=15[/tex].

Differentiating the curve w.r.t [tex]t[/tex] we get:

[tex]x\cdot \frac{dy}{dt}+y\cdot\frac{dx}{dt}=0[/tex]

Now substituting the values are  [tex]x=3[/tex] and [tex]dx/dt=6[/tex].

[tex]3\cdot \frac{dy}{dt}+5\times6=0[/tex]

                [tex]\frac{dy}{dt}=\frac{-30}{3}\\\frac{dy}{dt}=-10[/tex]

Therefore, [tex]y[/tex] is decreasing [tex]10[/tex] units per seconds.

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Answer:

l: y = 4

m: y = -2x + 4

n: y = x - 1

p: x = -4

Step-by-step explanation:

y = mx + b

Slope = m

Y-intercept = b

Answer:

6 buckets  have to be filled, put in tank and refilled.

Step-by-step explanation:

Volume = 24 L

Volume Container = 4 L

Number of buckets = Fish Tank Volume / volume of container

Number of buckets = 24 / 4

Number of bucket refills = 6

Answer:

28

Step-by-step explanation:

If the area is 48. 48 divided by 6 is 8 right? Okay then, two sides of the rectangle is going to be 8 and 2 sides of the rectangle is going to be 6.

So, take 8+8 and 6+6 which equal 28.

remember, to find the perimeter you add.

which concludes the answer to be 28.

Answer:

28 units

Step-by-step explanation:

So to find the perimeter, you need to find the other length of the triangle. To find that, let's look at the area that was given. We know that area = L x W. So we have the width and when we divide it by the area we can find the missing length which should be: 48/6=8

So with both the length of 8 and the width of 6, we can find the perimeter is equal to:

Perimeter= 8 + 8 + 6 + 6

Perimeter=28

Step-by-step explanation:

Step 1:  List out all of the formulas for the trigonometric functions

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

Step 2:  Find the values for the given numbers

sin(J) = opposite/hypotenuse = 24/25

tan(J) = opposite/adjacent = 24/7

sin(K) = opposite/hypotenuse = 7/25

tan(K) = opposite/adjacent = 7/24

Step 3:  Check if the answers match

24/25 = 24/25 So it is TRUE

24/7 != 7/25 So it is FALSE

7/25 != 24/25 So it is FALSE

7/24 = 7/24 So it is TRUE

Answer: TRUE, FALSE, FALSE, TRUE

Answer:

9

Step-by-step explanation:

13.50 - 3 = 10.50

1.20×8 = 9.60 = not enough

1.20×9= 10.80 = more than enough

She has to do 9 chores to have enough money including the 3 dollar she already has

Answer:

Inequality:

3+1.20c ≥ 13.5

solution = c ≥ 8.75

On the graph, have the dot closed and have it going from the point between 8.5 and 9 going to the right.

 | ------------•---------- | -------------------- | ------------------> |              

8.5                        9                        9.5                   10

Answer:

Johnny needs to score 98 on third test to raise average to 94

Step-by-step explanation:

Given that average of two tests is 92.

The score of next test has to be found that means there will be a total of 3 tests.

The average will be:

[tex]Avg = \frac{test1+test2+test3}{3}[/tex]

It is also given that he has to raise his average to 98

We have to use the average formula for finding the third value

So,

[tex]94 = \frac{92+92+test3}{3}\\94*3 = 184+test3\\282 = 184+test3\\test3 = 282-184\\test3 = 98[/tex]

Hence,

Johnny needs to score 98 on third test to raise average to 94

Answer:

Johnny would need to get a 98

Step-by-step explanation:

You would need to use the average formula and see what it would be eual to.