A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.

168,581

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Follow PEMDAS

Always start with the top of the list, parentheses. Prioritize anything in parentheses.

[tex](24,672 - 589)[/tex]

start in hundreds place, then subtract from there.

[tex](24,672 - 589) = 24,083[/tex]

Next, multiply by 7.

[tex]24,083 * 7 = 168,581[/tex]

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Ask in the comments box.

Answer:

3 un wer

8 lnter

12 jin

Step-by-step explanation:

of the corret anwer

The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A full-length mirror cost $144.99 when the cpi was 163.

The cost of a full-length mirror when the cpi is 211, to the nearest cent will be

[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Answer: 726 meters²

Step-by-step explanation:

   We will need to find the area of five shapes. The base, the top/bottom, and the two triangle sides.

      The area of a triangle is B * H / 2. Since we have two congruent triangles, I will not be dividing by two.

14 * 24 = 336 meters²

-> This value is for both of the triangle faces

      The rectangular bottom is L * W

14 * 10 = 140 meters²

      The two rectangles for the top and bottom will also be L * W. Since these are congruent, I will find the area of one and multiply it by two.

10 * 25 = 250 meters²

      Now I will add them all together for the total surface area:

336 + 140 + 250 = 726 meters²

  -> I don't see this as an option choice listed. I will review my work, but I am currently confused on the options they provide.

Answer:

x =  12.714

Step-by-step explanation:

Vertical angles sum to 180 degrees

8x-12     + 6x + 14 = 180

   solve for x = 12.714

Answer: Its 120 cm

Step-by-step-explenation:

All you have to do is multiply

3x2=6

6x5=30

30x4=120

Answer:

IQR

Step-by-step explanation:

I got it right :)

Answer:

See below ↓

Step-by-step explanation:

Let the odd integers be :

Solving

Examples

Answer:

Let one odd number be (2n + 1)

Therefore, its consecutive odd number is (2n + 3)

Difference between the two squares of these numbers:

[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]

Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.

Answer:

24 units²

Step-by-step explanation:

Given:

To find:

The area enclosed by these lines can be expressed as:

[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]

For:

[tex]\displaystyle \large{\int_2^6 dy}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]

Therefore:

[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]

Now we we have:

[tex]\displaystyle \large{\int_0^6 4dx}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]

for k = constant

Therefore:

[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]

Hence, the area of region is 24 units²

Answer:

x=8

Step-by-step explanation:

Answer:

44 items in 4 bags means there are 11 items in each bag (44/4).

each bag has 3 erasers + x stickers. So, 3 + x = 11

subtract three from each side of the equation to isolate the variable (x):

3+x-3=11-3

x=8

Answer:

I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest

Answer: The answer is [tex](x+2)^2[/tex]

Step-by-step explanation:

Because  [tex](x+2)^2[/tex] means  [tex](x+2)(x+2)[/tex]

So we use the foil method to factor

First: [tex]x*x=x^2[/tex]

Outside: [tex]x*2=2x[/tex]

Inside: [tex]2*x=2x[/tex]

Last: [tex]2*2=4[/tex]

So we now write the following equation [tex]x^2+2x+2x+4[/tex]

Simplfied [tex]x^2+4x+4[/tex]

Answer:

4988 pounds

Step-by-step explanation:

Volume of Hemisphere

4/3 x π x r^3 = 4/3 x 3^3 x π = 4/3 x 27π = 36π = Volume of Sphere

To calculate volume of Hemisphere = 36π / 2 = 18π foot^3

Weight of the liquid

88.2 pounds / foot^3 means that every cubic foot weighs 88.2 pounds so

88.2 pounds x 18π = 4987.5925 which to the nearest pound = 4988 pounds.

Answer:

8x+5

Step-by-step explanation:

8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.

Hope this helps!

Also, please mark as brainliest!

Answer:

The answer is 8x+5

Step-by-step explanation:

1. Combine like terms so it will be 8 and -3

2. this will leave you with 8x+5 which you cannot do anything further.

Answer:

466,207,795.2 cm^3

Step-by-step explanation:

The equation to find both, the volume of the sphere and cube, are given.

The sphere:

V = [tex]\frac{4}{3}[/tex]πr^3

the radius is 7 ft therefore

V =  [tex]\frac{4}{3}[/tex]π7^3

The problem says to use 3 for pie therefore

V =  [tex]\frac{4}{3}[/tex](3)7^3

7 to the power of three is

V = [tex]\frac{4}{3}[/tex](3)343

[tex]\frac{4}{3}[/tex] and 3 cancel each other out to equal 4

V = 4 × 343

V = 1,372 ------> volume of sphere

______________________________________________

The cube:

V = Legth × width × height

V = 12 × 12 × 12

V =  1,728 ------> volume of cube

_______________________________________________

Total volume:

1,372 + 1,728 = 3,100 ft^3

But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)

3,100 ft^3 = 87,782,080 cm^3

Answer:

(i) 350 g; (ii) 18 m². This is done by using proportion

Step-by-step explanation:

Answer:

isaiah must get a score of 115

Answer:

The correct option is C because it shows the accurate cosine rule

Equation to get the third side :  [tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

The correct option is C.

Given, that sides of triangle are 42 cm and 35 cm .

The third side can be found using the Law of Cosines,

[tex]c^2 = a^2 +b^2 - 2ab\times cos(C)[/tex]

where C is the angle opposite the third side (c) .

For the given side lengths, then the third side can be found .

Here,

a = 42

b = 35

∠C = 120°

Substitute the values,

[tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]

[tex]c = \sqrt{1764 + 1225 + 1470} \\c = \sqrt{4456}\\c = 66.75[/tex]

Hence the third side is of 66.75 units.

The correct option is C .

Know more about cosine law,

https://brainly.com/question/30766161

#SPJ5

Answer:

h = 19 mm

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

the base is a regular pentagon whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 5 × 12 = 60 mm and a = 5 mm , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5 = 30 × 5 = 150 mm²

given V = 2850 , then

150h = 2850 ( divide both sides by 150 )

h = 19 mm

Answer:

See below, please

Step-by-step explanation:

We know

[tex]f(x) = {x}^{2} + 3x - 7[/tex]

[tex]g(x) = 3x + 5[/tex]

[tex]h(x) = 2 {x}^{2} - 4[/tex]

Hence

[tex]f(g(x))[/tex]

[tex] = {(3x + 5)}^{2} + 3 \times (3x + 5) - 7[/tex]

[tex] = (9 {x}^{2} + 30x + 25) + (9x + 15) - 7[/tex]

[tex] = 9 {x}^{2} + 39x + 33[/tex]

[tex]h(g(x))[/tex]

[tex] = 2 \times {(3x + 5)}^{2} - 4[/tex]

[tex]2 \times (9 {x}^{2} + 30x + 25) - 4[/tex]

[tex] = 18 {x}^{2} + 60x + 50 - 4[/tex]

[tex] = 18 {x}^{2} + 60x + 46[/tex]

[tex](h - f)(x)[/tex]

[tex] = h(x) - f(x)[/tex]

[tex] = (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)[/tex]

[tex] = {x}^{2} - 3x + 3[/tex]

[tex](f + g)(x)[/tex]

[tex] = f(x) + g(x)[/tex]

[tex] = ( {x}^{2} + 3x - 7) + (3x + 5)[/tex]

[tex] = {x}^{2} + 6x - 2[/tex]

Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

Answer:

t = 4 s

Step-by-step explanation:

Given function:

[tex]h(t)=-16t^2+48t+64[/tex]

where:

When the ball hits the ground, its height will be 0 ft.

Therefore, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]

As time is positive, t = 4 s (only).

Given

[tex]h = - 16 {t}^{2} + 48t + 64[/tex]

Where:- h= Height of ball (given in feet[ft]) and,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎t= time (in seconds [s])

Time = (t)

We know,

[tex] \text{When the ball hits the ground its height will be 0}[/tex]

[tex] \therefore h(t) = 0[/tex]

[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]

[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]

We know, Time cannot be negative.

So, Time (t) = 4 seconds

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

To learn more about the solution visit:

https://brainly.com/question/1397278

Answer:

$15.49

Step-by-step explanation:

0.75 x 2 = 1.5

1.50 + 13.99 = 15.49

The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.  

Answer: About 3.06

Step-by-step explanation:

  We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.

  Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.

      cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]

      cos(40) = [tex]\frac{x}{4}[/tex]

      0.766 ≈ [tex]\frac{x}{4}[/tex]

      3.06 ≈ x

      x ≈ 3.06

Answer:

least common denominator=6

Step-by-step explanation:

For the fractions, 1/3 and 1/6th, 3*2=6. making the fraction 2/6 and leaving the other the same 1/6th.

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Answer:

Step-by-step explanation:

Number of shells she had in the begining = 40

Number of shells collected in the morning and at noon = 6 + 3 = 9

Now the number of shell at the end = 40 + 9 = 49

Icreased shells = 49 - 40 = 90

[tex]\text{Percentage increase = $\dfrac{49- 40}{40}*100$}[/tex]

                                [tex]=\dfrac{9}{40}*100\\\\\\= 22.5 \ \%[/tex]