Walter wants to make 200 candles in the shape of a cone for his new candle business. The mold shown below will be used to make the candles. Each mold will have a height of 6 inches and a diameter of 2 inches. To the nearest cubic inch, what will be the total volume of 200 candles

[tex]\text{Given that,} ~ p(x) = x^2 -5~ \text{and}~ h(x) = \sqrt{x+5}\\\\(p\circ h)(x)\\\\=p(h(x))\\\\=p\left( \sqrt{x+5} \right)\\\\=\left( \sqrt{x+5} \right)^2 -5\\\\=x +5-5\\\\=x[/tex]

Answer:

625 eggs are sold in a restaurant

2500-100%

x- 25%

62500=100x

x=625 eggs

Answer:

21875

Step-by-step explanation:

25% x 35 x 2500

= 0.25 x 35 x 2500

=21875

Answer:

767

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Step 1 : Prime factorize the given terms.

Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.

⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5

⇒ LCM = 16 x 15

⇒ LCM = 240

Answer:

(-2, -6)

Step-by-step explanation:

Equating A and B to the Midpoint (M) :

Equations formed :

   2. 6 + y / 2 = 0

Midpoint : (x , y)

Answer:

x = 2, - 4

Step-by-step explanation:

The factors of 8 are:

1, 8

2, 4

You can combine 2 and 4 to create 2.

( x - 2 ) ( x + 4 ) = 0

0 can either be x - 2 or x + 4

Therefore, x = 2 or - 4

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

x = -4 or x = 2 ✅

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

The roots of the equation are determined by the following calculation:

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Here, we have :

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

[tex]x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}[/tex]

▪️ (2)

[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}[/tex]

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

https://brainly.com/question/27638369

Answer:

A 513

Step-by-step explanation: is your answer

Hope this helps :)

Answer:

c=9.5 centimeters

Step-by-step explanation:

a^2+b^2=c^2

9^2+3^2=c^2

90=c^2

c=[tex]\sqrt{90}[/tex]

c=9.487

c=9.5

Answer:

interest rate= interest earned multiply 100% then divide by the amount and time

R=I/Pt

I=96.60$, P=1200$, t=42/12=3.5

R= 96.60×100%/1200×3.5

=2.3%

Answer:

c

Step-by-step explanation:

y = 5x² - 17x - 12

to find the roots let y = 0 , that is

5x² - 17x - 12 = 0

Factorising the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × - 12 = - 60 and sum = - 17

the factors are - 20 and + 3

use these factors to split the x- term

5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )

5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term

(x - 4)(5x + 3) = 0

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6

roots are (4, 0 ) and (- 0.6, 0 )

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price.  This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

[tex]Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)[/tex]

[tex]Sold\ Price = \$5200*(1+0.15)[/tex]

[tex]Sold\ Price = \$5200*(1.15)[/tex]

[tex]Sold\ Price = \$5980[/tex]

Therefore, our final answer is that the selling price was $5980

Hope this helps!

Answer:

24 and 16.

Step-by-step explanation:

They both are in between the sum of the two numbers.

Answer:

13

Step-by-step explanation:

hey take a deep breath! you got this!

it's really simple if you use the format PEMDAS

P- parentheses

E-exponents

M-Muliplication

D-divison

A-addition

S-subtraction

or mostly used

P

E

M or D

A or S

(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)

ok so our equation is 20÷(5x2/5)+3

whats our first step? remember PEMDAS!

Its Parenthesis! so first we do the equation (5x2/5)

since multiplication and division are in the same "category" we go left to right

so first we do 5x2=10 and then we do 10/5 which is equal to 2!

ok now we add back the rest of our equation!

20÷2+3 since we already solved the Parenthesis

now what come first? division or addition?

its division because.. once again... PEMDAS!!

So now we do 20÷2 which is equal to 10!

now whats left is to add 3!

and 10+3 is equal to .... 13!!!

I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)

Answer:

$20.13

Step-by-step explanation:

$4.70x3=$14.10+$6.20 = $20.13

Answer:

40

Step-by-step explanation:

In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).

15 x 12 = 180.

If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.

The answer is 180^2, or 180 squared.

I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!

Answer:

The answer is 180 squared.

Step-by-step explanation:

Happy to help!

The capacity of the tank is 240 cm³.

Capacity means the volume of a solid shape.

To calculate the capacity of the tank, we use the formula below.

Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9

Formula:

Where:

Solve for V

Hence, the capacity of the tank is 240 cm³.

Learn more about capacity here: https://brainly.com/question/3945391

#SPJ1

Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of the ladder, using trigonometric ratio:

sin(64) = 18/l

l = 20.03 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

Now add up all three values to find the final value:

The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].

If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.

Given the expression,

[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]

Evaluate the expression in its simplest form

[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]

Multiply the exponents in the bracket by the one outside, then find the cube of 4.

[tex]64m^9n^3[/tex]

Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].

Learn more about equivalent expressions on:

https://brainly.com/question/22365614

#SPJ4

Answer:

The speed i total is 750 meters per second

Step-by-step explanation:

9000/12 = 750

Answer: Horizontal means going through something like mainly through the middle, and verticle are the posts going up and down through the fence. All you have to do is combine them in figure 2 and slot them down in the boxes. Hope this helps <3

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Perimeter

Area

Answer:

Approximately 6 cups

Step-by-step explanation:

One pint is equal to 2.402 cups. Multiplied by 2.5, that gives you 6.00475. The final answer (6 cups) is rounded.

Answer:

x=6

Step-by-step explanation:

6(x-3)=18

Then divide both sides by 6

x-3=3

Add 3 to both sides

x=6

Answer:

x = 6

Explanation:

use distributive property: a(b + c) = ab + ac

change sides

add integers

divide both sides by 6

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer:

65

Step-by-step explanation:

Angle FGH = x

Angle FGJ = 25

Angle JGH = 40

Angle FGH = Angle FGJ + Angle JGH

                x = 25 + 40

                x = 65

The value of x in the diagram is 65.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

∠JGH = 40

∠FGJ = 25

Now,

∠JGH + ∠FGJ = x

So,

40 + 25 = x

Solve for x.

x = 40 + 25

x = 65

Thus,

The value of x in the diagram is 65.

Learn more about angles here:

https://brainly.com/question/7116550

#SPJ7