For one of their science experiments students needed 10 1/2 liters of water. If there were 7 groups
doing the same experiment, how much water did they need for all of the groups?

Answer:

mean is average

1. Add all the values to find the total

2. Divide the total you have found by the amount of numbers you have added to find the total

Answer:

To work out the mean you have to add all of the numbers up then divide it by how many numbers the are

Step-by-step explanation:

Answer:

24.

Step-by-step explanation:

−12(−2

= -12 * -2     ( Note  - * - = +) so we have:

24 (answer).

Answer:

400 cubic yards

Step-by-step explanation:

There are three cubic feet in each cubic yard

Answer:

Step-by-step explanation:

He ate 15, 19, 23, 27, 31, 35 pies for each day.

Addition in math is a process of combining two or more numbers.

Given that, Homer Simpson entered a pie eating contest at the county fair. Homer was determined to win and went into training for 6 days, each day, he ate 4 more pies than the day before. Homer ate 150 pies while in training.

Let he ate x pie for 1st day, then according to question,

1st day = x

2nd day = x+4

3rd day = x+8

4th day = x+12

5th day = x+16

6th day = x+20

He ate 150 pies for 6 days

Therefore, x+x+4+x+8+x+12+x+16+x+20 = 6x + 60 = 150

6x = 90

x = 15

Hence, he ate 15, 19, 23, 27, 31, 35 pies for each consecutive day.

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Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

≈ 83.9 cm²

Step-by-step explanation:

Given:

Then:

Area of  the triangle is found by using Herons formula:

where s = P/2 = 44/2 = 22 cm

Answer:

[tex]\huge \boxed{\mathrm{83.9 \ cm^2}}[/tex]

Step-by-step explanation:

Two sides of the triangle are given.

The perimeter is given.

We need to solve for the third side.

[tex]P=a+b+c[/tex]

[tex]P= \sf perimeter[/tex]

[tex]a,b,c= \sf side \ lengths[/tex]

[tex]44=18+12+c[/tex]

[tex]c=14[/tex]

The measure of the third side is 14 cm.

When three sides of the triangle are given, we can solve for the area using Heron’s formula.

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\sf semi \ perimeter[/tex]

[tex]\displaystyle s=\frac{P}{2} =\frac{44}{2} =22[/tex]

Plugging in the values and evaluating.

[tex]A=\sqrt{22(22-18)(22-12)(22-14)}[/tex]

[tex]A = 83.904708...[/tex]

The area of the triangle is approximately 83.9 cm².

Answer:

15 days.

Step-by-step explanation:

46 - 16 = 30.

It falls 2 seconds behind each day so the number of required days

= 30 / 2 = 15.

Answer:

Step-by-step explanation:

15 days 16-40=30 the take 30/2= 15

Step-by-step explanation:

standard deviation is used to measure risks involved in an investment instrument. Standard deviation provides investors a mathematical basis for decisions to be made regarding their investment in financial market. Standard Deviation is a common term used in deals involving stocks, mutual funds, ETFs and others. Standard Deviation is also known as volatility. It gives a sense of how dispersed the data in a sample is from the mean.

I hope I answered correctly :)

answer

r = b²-4ac

= 81 + 36

= 117

Answer:

[tex] \boxed{ \bold{ \sf{ \boxed{n = 1}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{7p - p = 18}[/tex]

Collect like terms

⇒[tex] \sf{6p = 18}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6p}{6} = \frac{18}{6} }[/tex]

Calculate

⇒[tex] \sf{p = 3}[/tex]

2. [tex] \sf{ - 5n - 4n = - 9}[/tex]

Collect like terms

⇒[tex] \sf{ - 9n = - 9}[/tex]

Divide both sides of the equation by -9

⇒[tex] \sf{ \frac{ - 9n}{ - 9} = \frac{ - 9}{ - 9} }[/tex]

Calculate

⇒[tex] \sf{n = 1}[/tex]

Hope I helped!

Best regards!!

Answer: this is your answer

  10

_____

6-5x

Answer:

1.7-20x OR 10/6-5x

Step-by-step explanation:

40÷(24-4x(2+3))

first you add the last set of ()

40÷(24-4x(5))

then you multiply by 4x

40÷(24-20x)

since you can't subtract those two you do this

40÷24-20x

divide 40 and 24

you get 1.66666667 then you round up

1.7-20x

you put 40/24-20x

divide the top and the bottom by 4

(40÷4)/(24÷4) -(20x÷4)

and your answer will be

10/6-5x

Let present age of women and her daughter be x and y respectively.

According to the question,

Case 1 :

Two years ago,

Woman age = ( x - 2 ) years

Her daughter age = ( y - 2 ) years

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

Case 2 :

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii )

Now,

★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Substituting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

Let's denote the current age of the daughter as "D" and the current age of the woman as "W".

From the given information:

1. Two years ago, the woman was 7 times as old as her daughter:

W - 2 = 7(D - 2)

2. In three years time, the woman would be 2 times as old as the girl:

W + 3 = 2(D + 3)

We now have a system of two equations with two unknowns. Let's solve this system of equations:

From equation 1, we can rewrite it as:

W = 7(D - 2) + 2

Substituting this expression for W in equation 2, we have:

7(D - 2) + 2 + 3 = 2(D + 3)

Simplifying the equation:

7D - 14 + 2 + 3 = 2D + 6

Combine like terms:

7D - 9 = 2D + 6

Subtract 2D from both sides:

7D - 2D - 9 = 6

Combine like terms:

5D - 9 = 6

Add 9 to both sides:

5D = 15

Divide both sides by 5:

D = 3

Now that we know the daughter's current age (D = 3), we can substitute it back into equation 1 to find the woman's age:

W = 7(D - 2) + 2

W = 7(3 - 2) + 2

W = 7(1) + 2

W = 7 + 2

W = 9

Therefore, the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

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Step-by-step explanation:

[tex] \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6[/tex] are irrational and 6 is the only rational number.

Answer:

11

Step-by-step explanation:

44/4 = 11

4/4 = 1

then:

44/4 = 11/1 = 11

Answer:

about 8 workers will finish the job

Answer:

100π cubic units is left

Step-by-step explanation:

πr²h - 1/3πr²h

π(5)²(6) - 1/3π(5)²(6)

150π - 50π = 100π

The volume of the foam is 100π cubic units remaining in the cylinder.

Given,

Radius of cone (r) = 5

Height of cone (h) = 6

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

To determine the volume of the foam remaining in the cylinder

Subtract the volume of the cone into the volume of the cylinder

⇒ πr²h - 1/3πr²h

Substitute the values of h and r,

⇒ π(5)²(6) - 1/3π(5)²(6)

⇒ 150π - 50π

⇒ 100π

Hence, The volume of the foam is 100π cubic units remaining in the cylinder.

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Answer:

see below (I hope this helps!)

Step-by-step explanation:

C = 6h + 11f + 7p

Get all non-f terms on one side:

C - 6h - 7p = 11f

Divide by 11:

f = [tex]\frac{C - 6h - 7p}{11}[/tex]

Answer:

B 14

explanation:

i did the math

The perimeter of the given triangle is 14 units, so the correct option is B.

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

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

For the pair of (1,3), (2,-3): the distance is:

[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]

For the pair (1, 3) , (-1, -1) the distance is:

[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]

For the pair (2, -3) and (-1, -1) the distance is:

[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

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Answer:

The answer is

Step-by-step explanation:

To solve first find the LCM of the denominators

That's

The LCM of 96 and 54 is 864

So we have

We have the final answer as

Hope this helps you

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

Answer:

x = - 172*11

Step-by-step explanation:

Answer:

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Step-by-step explanation:

micro grams to hectograms

10^8 micrograms = 1 hectogram

milliliters to deciliter

100 milliliters = 1 deciliter

Using conversion factors

26.9 microgram         1 hectogram           100 milliliters

----------------------- * ---------------------------  * ---------------------

milliliter                     10^8 micrograms           1 deciliter

2690 hectograms

---------------------------

10^8 deciliters

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Answer:

please mark my answer brainliest

Step-by-step explanation:

=8 x cube + 27

=2 X whole cube + 3 whole cube

=(2x+3)(2 X whole square + 3 whole square -2× 2 X ×3 )

=(2x+3)(4x square +9-12x)

....thats all...if require more than use splitting midterm to get more appropriate answer

Answer:2 hundred+1 tens+3 ones

Step-by-step explanation:

Answer:

$14.16 for 6 gallons.

Step-by-step explanation:

35.40/15 = 2.36

2.36*6 = 14.16

Step-by-step explanation:

(1) y = x e^(x²)

Take derivative with respect to x:

dy/dx = x (e^(x²) 2x) + e^(x²)

dy/dx = 2x² e^(x²) + e^(x²)

dy/dx = (2x² + 1) e^(x²)

Take derivative with respect to x again:

d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)

d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)

d²y/dx² = (4x³ + 6x) e^(x²)

Substitute:

d²y/dx² − 2x dy/dx − 4y

= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)

= 4x³ + 6x − 2x (2x² + 1) − 4x

= 4x³ + 6x − 4x³ − 2x − 4x

= 0

(2) y = sin⁻¹(√x)

sin y = √x

sin²y = x

Take derivative with respect to x:

2 sin y cos y dy/dx = 1

sin(2y) dy/dx = 1

dy/dx = csc(2y)

Take derivative with respect to x again:

d²y/dx² = -csc(2y) cot(2y) 2 dy/dx

d²y/dx² = -2 csc²(2y) cot(2y)

Substitute:

2x (1 − x) d²y/dx² + (1 − 2x) dy/dx

= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)

Use power reduction formula:

= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)

= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)

= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)

= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)

= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)

= -sin²(2y) csc²(2y) cot(2y) + cot(2y)

= -cot(2y) + cot(2y)

= 0

=======================================

Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\[/tex]

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\[/tex]

This is used to find a3

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\[/tex]

Finally we can now find a4

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\[/tex]

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

Answer:

D. 0.007

Step-by-step Explanation:

0.07= 10 x

= 0.07/ 10

= 0.007

Answer:

24x

Step-by-step explanation:

=6x×4+24x×3-72x

=24x+24×3x-72x

=24x+72x-72

=24x