What is the answer for (5p2 - 3p + 4) - (2p2 - 9p + 8) ?

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

[tex]7/2=3.5[/tex]

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

[tex]V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}[/tex]

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

Step-by-step explanation:

I think both are correct because Jessica says 30000 is 10 times of 3000 and she is right whereas Raul says 3000 is 1 / 10 of 30000 he is also right

Answer:

Around 34.14% of the cookies are between 11.32 and 11.35 grams.

Step-by-step explanation:

In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.

Answer:

1) 6.28

2) 62.8

Step-by-step explanation:

Multiply pi by the diameter to get the circumfrence.

Answer:

6.28in and 62.8m

Step-by-step explanation:

C = d(3.14)

C = 2(3.14) = 6.28

C = 20(3.14) = 62.8

Answer:

The larger pyramid is 5,376 inches^3 greater

Step-by-step explanation:

To calculate how many inch greater the volume of the larger pyramid compared to the volume of the new smaller pyramid, what we do is to calculate the volume of both.

Mathematically, the volume of a square pyramid = area of base * height of pyramid

For the larger pyramid, length of base is 16 inches and height is 24 inches;

The area of base is L^2 since it is a square; 16 * 16 = 256 inches^2

The volume is thus 256 * 24 = 6,144 inches^3

For the smaller pyramid also, we use the same approach but this time, length of base is 8 inches and height is 12 inches

Area of base = 8 * 8 = 64 inches^2

Volume = 64 * 12 = 768 inches^3

Now how much more is the larger pyramid, that would be the volume of the larger pyramid- volume of the smaller pyramid = 6144 - 768 = 5,376 inches^3

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.

The value of the trigonometry function sin θ in the triangle would be, 0.34.

Used the concept of trigonometry function,

sin x = Opposite / Base

Given that,

A triangle with angles is shown in the figure.

Since we know that,

sin x = Opposite / Base

Here, for the angle θ;

Opposite = 7.78

Base = 22.6

So, we get;

sin x = Opposite / Base

sin θ = 7.78 / 22.6

sin θ = 0.34

Thus, The value of the trigonometry function sin θ would be, 0.34.

To learn more about the triangle visit;

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Answer:

by putting it in the calculator, the answer is the first option.

Answer:

The base

Step-by-step explanation:

Just did it

Answer:

the base (b)

Step-by-step explanation:

edg. 2021

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]

base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

Answer:

5 / 12

Step-by-step explanation:

The cotangent is adjacent ÷ opposite

Opposite = 12

Adjacent = 5

5 / 12

Answer:

6.0

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

From the given graph,

Center of the circle = (-4, -2)

This circle passes through a point (0, -3),

Radius of the circle = Distance between center and point (0, -3)

r = [tex]\sqrt{(0+4)^{2}+(-3+2)^{2}}[/tex]

r = [tex]\sqrt{17}[/tex]

Standard equation of the circle is,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

By putting the values in this equation,

(x + 4)² + (y + 2)² = (√17)²

(x + 4)² + (y + 2)² = 17

Option D. will be the answer.

Answer:

If she worked 24 hours then she would get 216 cash in dollars.

Step-by-step explanation:

All you would have to do is multiply 9 by 24 and you would get 216 dollars. and i thin this is correct.

Answer:

Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Step-by-step explanation:

From the length conversion table:

We know that:

1 meters = 100 centimetres

We are told that Nestor needs 750 centimeters of rope

Now; these ropes comes in the length of 4 ½ meters and 9 meters at the hardware store

To determine the  length of rope should Nestor buy? ; we will need to first convert the length of the ropes in meters to centimeters first;

so

4 ½ meters to centimeters = 4 ½ × 100 centimeters = 450 centimeters

9 meters to centimeters = 9 × 100 centimeters = 900 centimeters

And Nestor needs to purchase 750 centimeters of rope;

So if ;

4 ½ meters = 450 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 450 centimeters = 4 ½ meters × 750 centimeters

x meters = (4 ½ meters × 750 centimeters) / 450 centimeters

x = 7 ½ meters

Also;  if

9 meters  =  900 centimeters

Then ; let x meters = 750 centimeters

So;

x meters × 900 centimeters = 9 meters × 750 centimeters

x meters = (9 meters × 750 centimeters) / 900 centimeters

x = 7 ½ meters

Thus; Nestor needs to buy 7 ½ meters rope

And: the length of the rope that is greater is : 9 meters

Answer:

Nestor should buy the rope that is 9 meters long

Step-by-step explanation:

Nestor will need to buy a rope that is longer than 750 centimeters so that he can easily cut it to serve his need. If he buys a shorter rope, it will be a  lot more difficult to join to get the required length that he needs.

To know the length of his various options and determine the one that is best, we will convert all the ropes to the same unit (cm) and compare is with the required length.

Rope A:  4.5 meters

1 m = 100 cm

4. 5 cm = 4.5 X 100 = 450 cm

This is clearly shorter than is required

Rope B:  9 meters

1 m = 100 cm

9 m = 9 X 100 =  900 cm

This is clearly longer than is required, hence should be Nestor's choice

Answer:

0.414141...

Step-by-step explanation:

Use a calculator to divide 41 by 99. The answer is a non-terminating, repeating decimal.

41/99 = 0.414141...

Answer:

The length of EF is 5.29

Step-by-step explanation:

If BC = 12 then;

FB = 12 × sin65 = 10.876

BA = FB/(sin50) = 10.876/(sin50) = 14.2

BD = AB (Sides of isosceles triangle) = 14.2

∴ DF = BD + FB = 10.876 + 14.2 = 25.07

∠F C D = tan⁻¹(D F/F C) =  tan⁻¹(25.07/(12×cos65)) = 78.6

∠F A D = tan⁻¹(D F/A F) =  tan⁻¹(25.07/(14.2×cos50)) = 70

∴ ∠D = 180 - (78.6° + 70°) = 31.4°

AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4

∴ AE =  2×14.2×cos(20°) × sin31.4 = 13.92

EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815

Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)

Hence, we have;

EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)

That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°

EF² = 27.98

∴EF = √27.98 = 5.29.

Answer:

The length of EF is 5.29

Step-by-step explanation:

Answer:

The volume is 1436.8[tex]in^2[/tex] .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

-Use the radius for the formula:

[tex]V = \frac{4}{3} \pi 7^3[/tex]

-Then, you solve:

[tex]V = \frac{4}{3} \pi 7^3[/tex]

[tex]V = \frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]7^3[/tex]

[tex]V = \frac{4}{3} \pi[/tex] × [tex]343[/tex]

[tex]V = \frac{1372}{3} \pi = 1436.755[/tex]

-Round the answer to the nearest tenth:

[tex]V = 1436.8[/tex]

So, therefore the volume is 1436.8[tex]in^2[/tex] .

Answer:

The volume is 1436.8 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

-Use the radius for the formula:

-Then, you solve:

×  ×

×

-Round the answer to the nearest tenth:

So, therefore the volume is 1436.8

M<2 is 110° and m<1 is 70° bc it’s supplementary angles so 180-110=70°

Step-by-step explanation:

Answer:

The value of x is 4

Step-by-step explanation:

Mathematically, we can calculate the area of the quilt by having the product of the side of the quilt by itself

Mathematically, the area of the quilt = L^2

This is (x + 2) * (x + 2)

This product is equal to 36 feet square

Thus;

(x + 2)^2 = 36

(x + 2)^2 = 6^2

Since the powers are equal, we equate the bases

x + 2 = 6

x = 6-2

x = 4

Answer:

x = -2

Step-by-step explanation:

Answer:

Jonathans car can go 15 miles per gallon of gas

Step-by-step explanation:

Do 45 divided by 3

Answer:

15 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

45 miles / 3 gallons

15 miles per gallon

Answer:

6

Step-by-step explanation:

Given:  (5,-9) is on the graph of f(x)

To find: corresponding point for the function [tex]\frac{-2}{3}[/tex] f(x)

Solution:

A graph refers to a pictorial representation that represents the relationship between two or more things in an organised manner. It consists of two axes x-axis and y-axis perpendicular to each other at the origin.

As  (5,-9) is on the graph of f(x),

[tex]f(5)=-9[/tex]

So, [tex]\frac{-2}{3}f(x)=\frac{-2(-9)}{3}=\frac{18}{3} =6[/tex]

Answer:

Probability= 22/29

Step-by-step explanation:

Total no. of marbles= 29

No of red marbles=5

No of green marbles= 2

No of marbles which are neither red nor green= 29-(5+2)

                                                                              =29-7

                                                                              =22 marbles

Probability= 22/29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a bag containing 29 marbles, 5 of the marbles are red and 2 are green.

Then the favorable event is given as,

Favorable event = 29 - 2 - 5

Favorable event = 22

Then the probability is given as,

P = 22 / 29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

More about the probability link is given below.

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Answer:

Area of regular polygon: ( About ) 442.8 units^2; Option C

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are directly provided with the apothem, which makes it a whole lot easier than dividing the figure into triangles, drawing an altitude to one of the triangles, determining the tan degree of the triangle etc.

1. Given one of the sides to be 11 units, the perimeter of this hexagon would be 11 * 7, as it is implied that it is a regular polygon ⇒ Perimeter: 77 units

2. Now let us substitute the apothem and perimeter into this formula to determine the area of this regular polygon: 1/2 * 11.5 * 77 ⇒ 442.75

Area of regular polygon: ( About ) 442.8 units^2

Answer:

360°

Step-by-step explanation:

degrees are needed

Answer:

70

Step-by-step explanation:

Answer:

The answer is 70.

Step-by-step explanation:

In order to find the value of k(-5), you have to substitute the value of x into the function k :

[tex]k(x) = 6x + 100[/tex]

Let x = -5,

[tex]k ( - 5) = 6( - 5) + 100[/tex]

[tex]k( - 5) = - 30 + 100[/tex]

[tex]k( - 5) = 70[/tex]

Your answer is A. (0,0)

The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, which is where the line cuts the y-axis.

In the line y = 4x, the ‘m’ would be 4 and the ‘+ b’ would be 0, which means that the line cuts the y-axis when y = 0.

There are only 2 answer options that have y = 0, A (0, 0) and D (4, 0). To find out which is correct, we can substitute in y = 0 into the equation y = 4x to see what the x-value would be:

y = 4x

0 = 4x

0 = x

Therefore the answer is A.

I hope this helps!

Think of y = 4x as y = 4x + 0.

If you don't have anything you're adding to

adding or subtracting to then it's 0.

Now our equation is in slope-intercept form.

We can write this as the ordered pair (0, 0).