Calculate the volume of this regular solid.
Intro
8 cm
What is the volume of
TL
Round at the end to the nearest tenth.
cm³
Done

Answers

Answer 1

The volume of the sphere is 2144.7cm³.

Given that a sphere with radius 8 cm.

As we all know that the volume of sphere is 4/3πr³.

We will find the volume of sphere by substituting the value of radius in the formula, we get

Volume=4/3 πr³

Now, we will substitute r=8 cm in above formula, we get

V=(4/3)π(8 cm)³

V=(4/3)π(512)cm³

Now, we will simplify this by multiply by 4, we get

V=(2048/3)πcm³

Now, we will simplify it by dividing it with 3, we get

V=682.66π cm³.

As we know, the value of π is 3.14.

So, we will substitute this value and simplify it, we get

V=682.66×3.14

V=2144.66 cm³

Hence, the volume of the sphere when the radius is 8cm is 2144.7 cm³.

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Related Questions

Find the equation of the line that passes through (4,13) and (8,1)

Answers

The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6

How to find the equation of the line?

given the points (4,13) and (8,1)

(x1,y1) = (4,13)

(X2, y2) = (8,1)

now we have to find slope of the line passing through these points.

[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]

[tex]slope = \frac{ - 3}{ - 5} [/tex]

slope = 0.6

Hence, the slope of the line is 0.6

we know the standard form of equation of the line.

y = mx + b

let us put the x = 4 and y = 13

y = mx + b

13 = 0.6(4) +b

13 = 2.4 + b

13 - 2.4 = b

10.6 = b

now put the m and b value into standard form of equation of the line to get the equation of the line.

y = 0.6m + 10.6

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What is 59265 divided by the 8th power x 596 x 427 please help


59265 の 8 乗 x 596 x 427?

Answers

Answer: sus

Step-by-step explanation:

given the set of numbers from 1 to n: { 1, 2, 3 .. n } we draw n numbers randomly (with uniform distribution) from this set (with replacement). what is the expected number of distinct values that we would draw?

Answers

The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

Here,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Then we have to find number of distinct values that we can draw.

What is combination?

The field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system.

Now,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Since, we know we draw p things from q with replacement then

Number of ways =  [tex]^{p+q-1} C_q[/tex]

Here number of element in the set = n

And number of element we have to draw with replacement = n

Therefore, number of distinct values that we can draw

= [tex]^{n+n-1} C_n[/tex]

= [tex]^{2n-1} C_n[/tex]

= [tex]\frac{(2n-1)!}{n!(2n -1 - n)!}[/tex]

=   [tex]\frac{((2n-1)!)}{n!(n -1)!}[/tex]

Hence, The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

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DLD I need to get this done ASAP

Answers

Answer: d

Step-by-step explanation:

Find the area of the triangle

Answers

The area of the triangle is  5√11 cm²

How to find the area of a triangle?

The area of a triangle can be found as follows:

area of a triangle = 1 / 2 bh

where

b = base of the triangleh = height of the triangle

Therefore,

b = base of the triangle = 2(6² - 5²) = 2(√36 - 25) = 2√11 cm

h = height of the triangle = 5 cm

area of the triangle = 1 / 2 × 2√11 × 5

area of the triangle = 5√11

area of the triangle =  5√11 cm²

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Which expression shows how to use mental math to find
6
×
24
?

A.
(
6
×
20
)
+
(
6
×
4
)
B.
(
6
×
20
)
+
(
6
×
14
)
C.
(
6
×
20
)
×
(
6
×
4
)
D.
(
6
×
20
)

(
6
×
4
)

Answers

Answer:a

Step-by-step explanation:a is easy

the width is to be 16 feet less than 3 times the height. find the width and the height if the carpenter expects to use 34 feet of lumber to make it.

Answers

The computation is that the width is 21.5 feet and the height is 12.5.

How to compute the value?

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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need help please

The following transformations are rigid and isometric: (choose all that apply)


dilation


reflection


rotation


translation

Answers

Everything but dilation if helped mark me the brainiest

a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside. if the material used to build the two fences is $ 1.15 per foot, what was the total cost of the fences?

Answers

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

                                   4a = 60ft

divide both sides by

                                  4a = 60/4

                                    a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

                               4*a + 4(a + 2*3)

Replace a with 15 to get:

                         =  4*15 + 4(15 + 6) 60 + 4(21) 60+84

                         = 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

                       = 144*1.15

                       = $165.6

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An arithmetic sequence has this recursive formula:
| a₁ = 4
| an = an-1 - 7
What is the explicit formula for this sequence?

Answers

[tex]a_n = 4+ (n-1)(-7)[/tex]  is the explicit formula for the sequence | a₁ = 4

| an = an-1 - 7

We have given [tex]a_1 = 4[/tex]

If [tex]a_n = a_{n-1} - 7[/tex]

Then, [tex]a_2 = a_{(2-1)} - 7[/tex]

⇒ [tex]a_2 = a_1 - 7[/tex]

⇒ [tex]a_2 = 4 - 7[/tex]

⇒ [tex]a_2 = -3[/tex]

Now, common difference (d) = [tex]a_2 - a_1[/tex] = -3 - 4 = -7

The explicit formula for arithmetic sequence is expressed as

[tex]a_n = a+ (n-1)d[/tex]   Where a is the 1st term, [tex]a_n[/tex] is the nth term and d is the common difference.

With given information explicit formula:

[tex]a_n = 4+ (n-1)(-7)[/tex]

What is an explicit formula?

Without expressing the other terms of the sequence, explicit formulas are always utilized to represent any term of the sequence. The word "explicit" means something that may be found directly without having to know the other phrases in the sequence.

A single formula, known as the explicit formula, can be used to describe each term in a series in an individual way. Without knowing the prior term in the series, the explicit formula makes it simple to locate any term. The explicit formulas for various sequences are provided here:

An = a + (n - 1) d, where a is the first term and d is the common difference, an is the arithmetic sequence.

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what are quadrilateral and diagonal lines that have equal length,the point of intersection divides both diagonals equally and perpendicular

Answers

Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

In an Examination, 1.100 Boys and 900 Girls appeared, 50% percent of the Boy and Girls passed the examination. The fail percentage is?​

Answers

54.5 % students got failed

Percentage in mathematics is defined as the number or ratio which can be expresses as a fraction of 100. If we want to calculate the percent of the number, we need to divide the number by the whole and multiply by 100.

• Percentage are dimensionless quantity. Percentage means pert per hundred. Percentage can also be represented in fraction form such as 0.5% or 0.25%.

• For example Prince got 98% marks in Maths which means that he has scored 98 marks out of 100.

According to the Question

Number of boys = 1100

Number of girls = 900

%age of boys passed = 50%

%age of girls passed = 40%

No of boys failed = ((100-50)*1100)/100

= 550

No of girl failed = ((100-40)*900)/100

= 540

Total number of students =1100+900 = 2000

Total number of students failed = 1090

Percentage  of students failed = 1090/2000 *100 = 54.5

54.5 % students got failed

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(d-6)(2e-3)+(d-6)(e+1) solution please?

Answers

The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

According to the given question.

We have an expression (d-6)(2e-3)+(d-6)(e+1).

Here, we have to find the solution of the given expression.

As we know that, an action or process of solving a problem.

Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by

(d-6)(2e-3)+(d-6)(e+1)

= 2de -12e -3d + 18 + de -6e + d - 6            (by distributive rule)

= 3de -18e -2d + 12

Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

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Sep 15, 10:38:09 AM
Watch help video
Use point-slope form to write the equation of a line that passes through the
point (1, 17) with slope 2.
Answer:
Submit Answer
attempt 1 out of 3

Answers

The equation of the line is y=2x+15.

Given point (1,17) and the slope m=2

The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.

To find the equation of the line formulae is [tex](y-y_{1})=m(x-x_{1})\\[/tex]

Here, m=2 , [tex]x_{1}=1 \\[/tex] and [tex]y_{1}=17[/tex]

substituting the values we get

y-17=2(x-1)

y-17=2x-2

y=2x+15

Therefore, The equation of the line is y=2x+15.

The equation of line is an algebraic representation of a set of points in a coordinate system that form a line. The several points in the coordinate axis that form a line are represented as a set of variables x, y to build an algebraic equation known as an equation of a line. We can use the equation of any line to determine if a given point is on the line or not.

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The length of an alligator in a zoo is 1456feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512feet. Which is the difference in their lengths?

Answers

The difference in their length is 16056

As per the question the length of alligators=1456 feet

At the same time the length of longest elegator is=17512 feet

We have to find out the difference

For difference we have to take

1756 min and 1456

As we know the formula of find the difference is by substituting so-

17512-1456

=16056

The difference= 16056 units feet

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solve the system y=x and 2x+3y=15

Answers

The value of x and y can be written as x=y=3. Therefore, the value of both x and y is equal to 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two the system of equations as follows,

y = x

2x + 3y = 15

Now, if we substitute the value of y from the first equation in the second, then we can write,

2x + 3y = 15

2x + 3x = 15

5x = 15

x = 15/5

x = 3

Therefore, the value of x and y can be written as x=y=3.

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maritza is playing a computer game to help her learn about science. her scores for the first six games were 11, 12, 10, 8, 14, and 15. how many points does she need to earn on the next game so that her average score for all games is 12 points? 14

Answers

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

What is mean?

An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.

In other words, this same deviation of data from across all data sets is built on the mean.

Mean = sum of data / Number of data

According to the given information:

points given for the 6 games:

11,12,10,8,14 and 15

Let's say this same point in the seventh game is x, keeping the average at 12.

The average for the 7th game is.

(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12

(70 + x )/7 = 12

70 + x = 84

x = 24

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

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the lowest common denominator for the fraction 8/64 and 8/32 is

Answers

Answer:

Lowest common denominator is 8.

Step-by-step explanation:

8? Why that low?

Here's why:

64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.

So then, we make the denominator 8 and numerator 1.

Lowest common denominator is 8.

Tanner's parents give him x dollars per month for his allowance. however, since his birthday is in february, he gets an extra 20% bonus that month. pick all the expressions that represent how much tanner's allowance is in february. 120x x+0.2x x+1.2x 1.2x

Answers

it is given in question that Tanners parent give him x dollars per month plus 20% extra in February therefore the amount become 0.2x

What do you mean percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Tanner's parents give him x dollars per month  for his allowance.

however, since his birthday is in february

he gets an extra 20% bonus that month.

pick all the expressions that represent how much tanner's allowance is in february month

20% = 20/100

       = 2/10

        =1/5

         = 0.2

since it is given in question that Tanners parent give him x dollars per month plus 20% extra in February

therefore the amount become 0.2x

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HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED<<
Scott bought a large bag of cookies at the bakery. He ate 1/5 of a bag and his sister ate
2/7 of a bag.

What fraction of the bag did they eat?

What fraction of the bag remains?

Answers

Answer:

17/35, 18/35

Step-by-step explanation:

Find the common denominator to add those fractions together.

5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.

10/35 + 7/35 = 17/35

They ate 17/35.

35/35 - 17/35 = 18/35

18/35 remains.

To solve this problem, simply add the fractions!

To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.

A common factor of [tex]\frac{1}{5}[/tex] and  [tex]\frac{2}{7}[/tex] is 35 as 5 ×7 = 35

Multiply the numerator and denominator of 1/5 by 7: [tex]\frac{(1)(7)}{(5)(7)}= \frac{7}{35}[/tex]

Multiply the numerator and denominator of 2/7 by 5: [tex]\frac{(2)(5)}{(7)(5)} =\frac{10}{35}[/tex]

Now add [tex]\frac{7}{35} + \frac{10}{35}[/tex] = [tex]\frac{17}{35}[/tex] : They ate [tex]\frac{17}{35}[/tex] of the bag

To find what fraction of the bag remains, subtract what they ate from 1.

*1 can also be written as [tex]\frac{35}{35}[/tex]*

[tex]\frac{35}{35} -\frac{17}{35} = \frac{18}{35}[/tex]

18/35 of the bag remains

solve the compound inequality 2x<4x-5<15

Answers

The answer of the given inequality is 5/2<x<5

To solve this given inequality we need to 1st understand what is inequality then we will be easily able to solve this sum.

It is a relationship between inequal values. the word inequality means not equal. to compare the values whether it is less or greater than then different inequalities are used. We can easily identify when an equation is called an inequality equation when we will see the sign ≤ , ≥ ,< ,>. This sign means that the expression is an inequality.

Here in the sum we will be solving the equation in two parts in the 1st part we will be taking the  part 2x<4x-5 and in the 2nd part we wil take the equation 4x-5<15

On solving the 1st part :

2x<4x-5

=> 2x-4x<-5

=> -2x<-5

=> 2x>5     [Multiplying boyh sides by minus sign]

=> x>5/2

On solving the 2nd part :

4x-5<15

=> 4x<15+5

=> 4x<20

=> x<5

So on solving the inequality we got that  5/2<x<5

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Tony is making a tiered cake for a party. He use 9 cups of butter from the refrigerator to make 4 cakes. We want to find how butter he needs to put in each cake. This situation can be represented by the expression -9 divided by 4. Find the solution, and explain what it means in the context of the problem.

Answers

The amount of butter that Tony needs to put in each cake will be 2.25 cups.

How to illustrate the information?

From the information, Tony is making a tiered cake for a party and he use 9 cups of butter from the refrigerator to make 4 cakes.

The amount of butter that he needs to put in each cake will be:.

= Number if cups / Number of cakes

= 9 / 4.

= 2.25 cups

Therefore, the amount of butter that Tony needs to put in each cake will be 2.25 cups.

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I need this answered thanks

Answers

Answer:The answer would be the third one $0.07 per minute

In 40 minutes; diane walks 2.5 miles and sue walks 1.5 miles. in miles per hour , how much diane walking?

Answers

Answer:

3.75 miles per hour

Step-by-step explanation:

Diane is walking 2.5 miles in 40 minutes.

2.5/40 = 0.0625 miles per minute

There are 60 minutes in an hour.

0.0625 * 60 = 3.75

Diane is walking at a speed of 3.75 miles per hour.

Here, we have to calculate the walking speed of Diane in miles per hour, we need to convert the time from minutes to hours since the walking distance is given in miles.

Diane walks 2.5 miles in 40 minutes.

To convert 40 minutes to hours, we divide by 60 (since there are 60 minutes in an hour):

40 minutes ÷ 60 = 2/3 hours

Now, we can calculate Diane's walking speed (or rate) in miles per hour:

Diane's walking speed = Distance / Time

Diane's walking speed = 2.5 miles / (2/3) hours

To divide by a fraction, we can multiply by its reciprocal:

Diane's walking speed = 2.5 miles * (3/2) hours

Now, simplify:

Diane's walking speed = 7.5 miles / 2 hours

Finally, divide:

Diane's walking speed = 3.75 miles per hour

So, Diane is walking at a speed of 3.75 miles per hour.

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Help-Khan academy geometry-mapping shapes

Answers

The sequence of transformations that maps triangle DEF into triangle ABC is:

A 90º rotation about point F, then a translation along the directed line segment FC.

What are transformations on the graph of a function?

Transformations in the graph of a function are classified as follows:

Translation: Translation left/right or down/up, changing just the position.Reflections: Over one of the axes or over a line, changing just the orientation.Rotations: Over a degree measure, changing the orientation or the inclination.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, changing the side lengths of the figure.

For this problem, we have that:

The orientation was changed, hence first it underwent a rotation.Then the position changed, hence after the rotation it underwent a translation.

Thus the correct sequence is given by Sequence B.

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Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]

Answers

To find the equation, first use the slope formula.

The slope formula is:

Second y coordinate minus first y coordinate, divided by second x coordinate minus second x coordinate

In your problem, the equation for finding the slope would be 10-4/6-2.

Simplify that and you get 3/2. So, your slope is 3/2.

Now you need to find the “b” or the y-intercept. Plug one of the coordinates into the equation y=Mx+b.

Let’s use the first coordinate you gave.

4 is the x coordinate, 2 is the y coordinate. M will be 3/4 because that’s the slope we found. So, the equation will be 4=3/4(2)+b. Now solve for b. B will equal -2.5.

Now put everything together. Y=3/4x-2.5

Hope that helped :)

Answer:

y=4x+-14

Step-by-step explanation:

i hope this helps

If a bag of chips is within 0.4 oz of 6 oz then it is allowed to go on the market. Write an absolute value inequality that models this situation. Solve the inequality.

Answers

Set up the absolute value inequality first

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4.

How to solve the inequality

Let's represent the weight of the bag of chips as "x" (in ounces). The bag is allowed to go on the market if its weight is within 0.4 oz of 6 oz.

An absolute value inequality that models this situation is:

| x - 6 | ≤ 0.4

Now, let's solve the inequality:

1. x - 6 ≤ 0.4

  Add 6 to both sides:

  x ≤ 6.4

2. x - 6 ≥ -0.4

  Add 6 to both sides:

  x ≥ 5.6

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4. This means the weight of the bag of chips must be between 5.6 ounces and 6.4 ounces (inclusive) to be allowed on the market.

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4(y-2)²-9=0 find the perfect square

Answers

Answer:

(2(y-2)+3) (2(y-2)-3)

Step-by-step explanation:

In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra.

what is 42% as a decimal?

Answers

42% as a decimal is 0.42
to convert percent to decimal, you move the point two spaces to the left
so 42 -> .42

20 pts
A company sells designer purses for $400 per purse. Usually, they sell 3000 purses per month. According to market research, they will sell 500 more purses for every $20 reduction in price. Write a function R(x) that models the company's revenue, where x is the number of price reductions. Find the price that will generate the maximum revenue. Find the maximum revenue.

Answers

The price that would yield maximum revenue is $260  and maximum revenue is $1,690,000

What is the revenue function?

The fact that total revenue of  the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:

R(x)=P*x

R(x)=Px

R(3000)=$400*3,000

R(3000)=$1200,000

Note for every 500 more purses, the price reduces by $20

R(3500)=$380*3,500

R(3500)=$1,330,000

R(4000)=$360*4000

R(4000)=$1,440,000

R(4500)=$340*4500

R(4500)=$1,530,000

R(5000)=$320*5000

R(5000)=$1,600,000

R(5500)=$300*5500

R(5500)=$1,650,000

R(6000)=$280*6000

R(6000)=$1680,000

R(6500)=$260*6500

R(6500)=$1,690,000

R(7000)=$240*7000

R(7000)=$1,680,000

The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses

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from the following choices, select the factors you should consider to understand the threat in your environment. Find the a) down payment, and b) amount of the mortgage loan. 2. Alvira and Barry Gomez purchased a home priced at $280,000. They put down 40%. aaron received a state income tax refund in 2021 for state taxes be overpaid in 2020. he was able to reduce his 2020 federal tax liability by itemizing and claiming a deduction for state and local income taxes paid that year. when aaron files his 2021 return, he may need to report all or part of the state tax refund he received in 2021 as i need help please thanks Badminton commentary writing Completa las oraciones usando el presente de los verbos indicados. GUYS HELP 4-10! ASAP IF YOU CAN EXPLAIN STEP MY STEP SO I CAN UNDERSTAND NEED MY GRADES UP! PLEASE HELP Please help. I need to get my grades up so the help would really mean a lot! In your opinion , what is the relationship between the agri-food industry and the health care system ? Whats the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?7, 28, 63, 112.. 175.. Pleasee help I need the answer rn you may have observed that items such as different brands of aspirin, tomato sauce, or gasoline are typically priced the same as each other. this is particularly true when consumers can find these goods in close proximity to each other. for example, prices are often the same at gas stations that are on opposite sides of the street. prices are also generally the same for products next to each other on the same grocery store shelf. What is the correct spelling of a word meaning an area of open land?(1 point)fieldfeildfeeldfeald A block of marbles measures 10 x 10 x 10 cm. it weighs 4000g. what is its DENSITY?D=Cm=The density is __g/cm what is the perimeter of a regular, triangular yield sign with aside length of 15 in How are muscle cells and bone cells similar? Both make it possible for you to respond to your environment by moving.A. Both make it possible for you to respond to your environment by moving.B. Both control involuntary movements such as the beating of your heart.C. Both release sweat when the temperature gets too warm.D. Both gather information from inside and outside the body.I NEED IT FAST PLEASE HURRRYYYYYY!!!! Given that3x8 7:2Calculate the value of x.Give your answer in its simplest form.X = It took Jane 3.5 hours to write 1 paper. At this rate, how long would it take Jane to write all 8 of her papers due this semester? express 7.065 as a mixed number solve 3cosx = 2+cosx a wet bicycle tire leaves a trace of water on the floor.the tire has a radius of 30 cm,and the bicycle wheel makes 3 full rotations before stopping.