Heidi has an average score of 78 for her first six chemistry tests. If Heidi"s scores for the first four tests were 82,78,87, and 73 respectively, what was her average score for the last two tests?

The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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The probability of selecting a junior who usually drinks bottled water is 0.0156. This is calculated by finding the probability of each separate event (being a junior and drinking bottled water) and multiplying them together.

To find the probability of selecting a junior who usually drinks bottled water, first calculate the probability of being a junior. There are 12 juniors out of a total of 30 students, so the probability of being a junior is 0.4. Then, calculate the probability of usually drinking bottled water. There are 10 students who usually drink bottled water out of a total of 30, so the probability of usually drinking bottled water is 0.3333. Finally, multiply the probabilities together to get the overall probability of 0.0156. This can be rounded to four decimal places to get the final answer of 0.0156.

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Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

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

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

Answer:

\(a < - 12\)

Step-by-step explanation:

Answer:

(5 + x)(5 - x)

Step-by-step explanation:

\(25 - {x}^{2} \\ \\ = {5}^{2} - {x}^{2} \\ \\ = (5 + x)(5 - x)\)

Using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

So, in September, Lucky weighed = 3.07 pounds

The equation form is:

So, now solve this linear equation and find 'x' as follows:

Therefore, using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

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In a case whereby Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves the number of pieces of jewelry that each sister receive can be expreesed as (13 + y)/5.

The concept that will be used here is simplification. The pieces of jewelry by Grandma Gertrude is 13 pieces

Then the pieces of jewelry by Grandma Fien can be seen as " y ".

Since 5 Carlson sisters available . The number of pieces of jewelry each sister receive. can be calculated as:

Total jewlry= (13 + y) which is needed by  5 sisters, the each of the sisters will have = [(13 + y)/5]

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complete quesion:

Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters.

How many pieces of jewelry did each sister receive?

Answer:

120km

Step-by-step explanation:

All you have to do is multiply 3 times 40 and then you get your answer.

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

80 cc.

Step-by-step explanation:

We work in amounts of salt in the solutions:

0.09x + 0.17*80= 0.13(x+ 80)  where x is the required volume of 9% solution.

0.09x + 13.6 = 0.13x + 10.4

13.6 - 10.4 = 0.13x - 0.09x

3.2 = 0.04x

x = 3.2 / 0.04

x = 80

Answer:

5

Step-by-step explanation:

u do 2x2 cuz of the square root and add the 1

Answer:

3

Step-by-step explanation:

21/3 = 7

30/3 = 10

First week : 1,020 people

Second week : 110 fewer people = 1,020-110 = 910

Third week: 130 more people = 910+130=1,040

Fourth week : 173 fewer people = 1,040 - 173 = 867

Percentage decrease; (1,020 - 867)/1,020 x 100

= 15%

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

B 24

Step-by-step explanation:

3/5 is 54°

1/3 is 30°

54-30 = 24

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Step 1: Write out equation

2a + 6 = 2a + 5 + 1

Step 2: Combine like terms

2a + 6 = 2a + 6

Here we see that we have the same slope and same y-intercept or the same equation. When this happens, our solution set is infinite amount of solutions, as any value a can be plugged in and would be true.

Answer:

part to part

Step-by-step explanation:

Answer:person abov me

Step-by-step explanation:

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

Step-by-step explanation:

This is a right triangle. The floor and the shelf would form a 90 degree angle. The Pythagorean theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.

8^2+11^2=x^2

185=x^2

\(x=\sqrt{185}\)

Answer:

21

Step-by-step explanation:

19+10 = 21

Answer:

This is because it contains the PAASCHE  and the LASPEYRES index, the index satisfies the time reversal test.

Step-by-step explanation:

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

im pretty sure the answer is (-5,-7)?

Option 4 is the correct choice.

We have a graph that represents a inequality.

We have to determine which of the following given inequalities is plotted in the graph

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

The straight line is not uniform but dashed. Hence, the type of inequality will be strict (either < or > ).

The y - intercept of the line is at : + 3.

The slope of the line will be = \(\frac{3 -0}{0-1.5} = -2\)

Now, it is clear from the above discussion that the we are left with two possible options - option C and D. Consider a point (0, 0) and check both the inequalities mentioned in option C and D.

For y > -2x + 3 at (0,0)

0 > 0 + 3

0 > 3

which is false.

For  y < -2x + 3 at (0,0)

0 < 0 + 3

0 < 3

Which is true.

Hence, the inequality represented by the graph is :  y < - 2x + 3

Therefore, Option 4 is the correct choice.

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The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

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Answer:

30%

Step-by-step explanation:

Answer: 10x^3 + 2x^2 -12x

Step-by-step explanation:

Answer: \(10x^{3} + 2x^2 - 12x\)

Step-by-step explanation:

2x(5x^2 + x - 6)

10x^3 + 2x^2 - 12x