what is area and circumference of the circle if diameter is 30​

Answer:

Find the radius.

Step-by-step explanation:

The task is to solve for area of a circle, and you are given the diameter.

The formula for area is :

Area of a circle = π × (radius)²

In this formula, there is only one input value, and that is the radius.

To find the radius, you must know the relation :

Radius x 2 = Diameter

Hence, the radius must be computed first and foremost.

the answer is 48 square 72

Step-by-step explanation:

72+46=48square and 48square x 0

Answer:

Mean: 80

Mode: 81

Median:81

Step-by-step explanation:

First, let's get the set of numbers from this Stem-and-Leaf plot:

[60,61,73,75,79,81,81,81,92,96,98]. From here we can solve for the mean by adding all the numbers up and dividing it by the number of terms that we have: [tex]\frac{60+61+73+75+79+81+81+81+92+96+98}{11} = 80[/tex] when rounded to the nearest whole number. The median is the middle number of the set when arranged from least to greatest, in this case, the median is 81.

Hope this helps! :)

Answer:

5.1  6.2

Step-by-step explanation:

5.y2-y1/x2-x1
  7-4/6-1=1
6.y2-y1/x2-x1
  -4+6/-1+2=2

Answer:

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

the open circle above 2 on the number line indicates that x cannot equal 2

the arrow points left indicating values of x are less than 2 , that is

x < 2

Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

The surface area of the given rectangular prism is:

S = 496 square feet.

For a rectangular prism of length L, width W, and height H is:

S = 2*(L*W + W*H + L*H).

In this particular case, we have:

If we replace that in the surface area equation, we will get:

[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]

The surface area of the rectangular prism is 496 square feet.

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[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]

Answer:

(a - 10) (a + 7)

Step-by-step explanation:

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(a + 4)² - 11(a + 4) - 42

Fractorize

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So the equation will be

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[tex] \sf \large {x}^{2} - 11x - 42[/tex]

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[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]

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[tex] \sf x(x - 14) + 3(x - 14)[/tex]

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[tex] \sf (x - 14)(x + 3)[/tex]

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[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]

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Answer:

please explain the question better so sorry

Step-by-step explanation:

I can't understand the question please explain it and I'll help the best I can

Answer:

1) x² + x

2) Check Below.

Explanation:

Hence sequence can be created:

2, 6, 12

Find difference:

2, 6, 12

 4   6

    2

Find Equation:

Then,

Then,

So Equation:

With Step Increasing, The step number multiplies the step number and plus the step number. That is the number of squares.

The key to this problem is to identify the functions; isolate the functions dependent on only x; and define each function in terms of x. Once every function is in terms of x then we can apply them to the equation that needs to be solved. Identify the functions: Here we are given four functions f(x); g(x); h(x); and i(x) so anytime we see these letters appear in an equation is where we would substitute the function. Isolate the functions dependent on only x: At a glance we can tell that only g(x) is purely in terms of x, every other function contains another function within their equations.

Define each function in terms of x: Since g(x) is in terms of x and i(x) contains g(x) then we can substitute 3x+4 for g(x) making i(x)=(x-2)*(3x+4) which then simplifies to i(x)=3x2-2x-8

Since h(x) contains i(x) then we can substitute the i(x) we made in 3a to get h(x)=3x2-11-(3x2-2x-8) which then simplifies to h(x)=2x-3

Since f(x) contains g(x) and h(x) then we can substitute those equations to get f(x)=2(3x+4)-(2x-3) which then simplifies to f(x)=4x+11

Now we apply our defined equations to the equation in question. There are two ways to do this, we can either apply our x values to each individual equation first or make the equation in question in terms of x. In this case I will make the equation in terms of x first. The first part of this process is understanding that the ° symbol does not represent degrees in this case, it represents the substitution of a function into another function. For example, if you saw (f°g)(x) then you would take the equation for g(x) and substitute it for every x value in the f(x) equation. Based on the process around ° it would be best to start from i(x) and work backwards to f(x) then h(x). So 2i=2(i(x))=2(3x2-2x-8)=6x2-4x-16       Ignoring the 3 we then evaluate f°2i=f(2(i(x)))=4(6x2-4x-16)+11=24x2-16x-64. Then we multiply the 3 to get 3f°2i=3(24x2-16x-64)=72x2-48x-192

Then we get to h°3f°2i=2(72x2-48x-192)-3=144x2-96x-384 which can simplify to 48(3x2-2x-8) or 48(3x+4)(x-2).

Finally we can divide g(x) making (h°3f°2i÷g)(x)=(48(3x+4)(x-2))/(3x+4)=48(x-2)

With the final equation in terms of only x we can finally solve by substituting each x value, giving us -288 when x=-4; -240 when x=-3; and 0 when x=2.

8.31 8.3 8.296 8.06

youre welcome

The correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

let's order the decimals from greatest to least:

1. 8.31

2. 8.3

3. 8.296

4. 8.06

So, the correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

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Answer:

  83 m

Step-by-step explanation:

The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.

__

  A = LW . . . . . area of a rectangle of length L and width W

  3403 m² = L(41 m) . . . . with given values filled in

  L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L

The length of the gym is 83 meters.

The original air present after 8 breaths will be equal to 179.81 ml.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

It is given in the question that:-

During normal breathing, about 12% of the air in the lungs is replaced after one breath

If the initial amount of air in the lungs is 500 mL

how much of the original air is present after 8 breaths?

The calculation for the eduction of the air will be done by the following equation:-

[tex]\rm =Volume \ present\times (0.88)^n\\\\\\= 500\times (0.88)^8[/tex]

=179.88 ml

Hence original air present after 8 breaths will be equal to 179.81 ml.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

mean =10

sum of no =7+5+0+1+3+4+h=20+h

N=7

now

mean=sum of no/N

10=20+h/7

10×7=20+h

70-20=h

h=50

Answer:

A. 25/33

B. 1/3

C. 1/33

D. 25/9

Answer:

Step-by-step explanation:

The solution to the question is arrived at using the knowledge of mathematical models.

A mathematical model is a linguistic and mathematical concepts-based description of a system.

The appropriate model for the given data is:

Because there are discrepancies and no direct equation that can complete all of these points, a Least Square Regression Line is the best option for resolving this problem.

They could be outliers, so we need use a calculator to create a regression line to find the residual value.

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Answer:

46 hours do the students play video games per week

Step-by-step explanation:

-3m > 75

3m < -75

m < -25

that's it.

Answer:

m< - 25

Step-by-step explanation:

-3m > 75  

(-3m)/(-3) <75/(-3) (divide both members by (-3) (which is a negative number so  ">" becames "<")

m<-25

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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Answer:

y=2(x-2) +2

Step-by-step explanation:

Answer:

Always in the range zero to one

Step-by-step explanation:

Option c is the answer

The amount of paint needed to cover all parts of the table will be 3703 square inches. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The top of the table can be modeled with a cylinder, and the legs can be modeled with rectangular prisms.

The table is shown below.

The surface area of the cylinder will be

SA of cylinder = 2πr² + 2πrh

SA of cylinder = 2π (18² + 18 × 3)

SA of cylinder = 2375 square inches

Then the surface area of the prism will be

SA of prism = 4 [WL + 2(WH + LH)]

SA of prism = 4 [2 x 6 + 2 (2 x 20 + 6 x 20)]

SA of prism = 4 [12 + 2 x 160]

SA of prism = 4 [12 + 320]

SA of prism = 1328 square inches

Then the total surface area of the table will be

Total surface area = SA of prism + SA of cylinder

Total surface area = 1328 + 2375

Total surface area = 3703 square inches

Thus, the amount of paint needed to cover all parts of the table will be 3703 square inches.

Then the correct option is B.

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Answer:

Step-by-step explanation:

Perpendicular lines will have negative inverse slopes of each other. In this case, the slope of the known line is -8. The negative of -8 or -(-8) is just +8. The inverse of +8 is +1/8.

Now we know the slope of the line perpendicular to y=-8x+2 and we are given the point (-4,1).

All linear lines have the form of y=mx+b and we know the slope.

y=1/8x+b

We plug in (-4,1) into the equation:

1=1/8 * -4 +

1=-1/2+b

b=3/2

We now have the b constant and can simply just write the equation:

y=1/8x+3/2

Answer:

=-8x+2

Step-by-step explanation:

step by step explanation

Answer:

270 miles

Step-by-step explanation:

If she drove 120 miles in 2 hours, that means she drives at 60 miles per hour. 4 hours and 30 minutes can be seen as 4.5, since 30 minutes is half an hour. So then you multiply 60 by 4.5 and get 270.

Answer:

I think it is a bit not for shore