HELP!
12. Write a formula to estimate the amount of material required to cover Firm 1’s structure, not including the floor. Explain your reasoning.


** radius = 35, height = 60**
**the shape is a cylinder**

13. Use the formula from question 12 to estimate the amount of material required to cover Firm 1’s structure, not including the floor. Show your calculations.

Answer:

your answer is a = + √105 .

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

2 x^2 - 8 x - 24 = 0

The left hand side factors into a product with three terms:

2 (x - 6) (x + 2) = 0

Divide both sides by 2:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

Wendy will think cookie club chocolate cookies are not chocolatey enough

Step-by-step explanation:

Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?

Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough

Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough

= 35 : 5

=7:1

Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough

=100 : 15

=20 : 3

Cookie club chocolate cookies have 3 times the amount of dough

Therefore,

Wendy will think cookie club chocolate cookies are not chocolatey enough

Answer:

Not choclatey enough

Step-by-step explanation:

Answer:

Answer: 25

The problem is saying that f of x is equal to 13, which means you insert 13 for every x in the equation:

[tex]f(13) = 2(13) - 1[/tex]

Multiply 2 by 13 to get 26:

[tex]f(13) = 26 - 1[/tex]

Subtract 1 from 26 to get 25:

[tex]f(13) = 25[/tex]

I hope this helps. Let me know if you have any questions!

Answer:

x = 8

Step-by-step explanation:

x/2 + 4 = 8

x/2 = 8 - 4

x/2 = 4

x = 4*2

x = 8

Probe:

8/2 + 4 = 8

4 + 4 = 8

Answer:

x = 8

Step-by-step explanation:

Therefore, x equals 8.

Answer:

f(3) = 18

Step-by-step explanation:

f(a) = 2a²,

Let a = 3

f(3)= 2 * 3^2

     = 2 * 9

     = 18

Answer:

7

Step-by-step explanation:

To find distance on a number line you add and 2+5=7

square root = 24

Step-by-step explanation:

2x2x3x3x4x4 =576

Answer:

24

Step-by-step explanation:

2x2x3x3x4x4

= 2x3x4=24

Answer:

The Emdin family spent $19.5 on their meal

Step-by-step explanation:

Let

Juice boxes=x

BBQ sandwiches =y

The Meyers family purchased 4 juice boxes and 2 BBQ sandwiches for $16.

4x+2y=16

The Kaplinsky purchased 4 juice boxes and 3 BBQ sandwiches for $21.

4x+3y=21

4x+2y=16 (1)

4x+3y=21 (2)

Subtract (1) from 2

3y-2y=21-16

y=5

Substitute the value of y into (1)

4x+2y=16

4x+2(5)=16

4x+10=16

4x=16-10

4x=6

Divide both sides by 4

x=6/4

=1 2/4

=1 1/2

x=1.5

The Emdin family showed up late to the county fair and purchased 3 juice boxes and 3 BBQ sandwiches

3x+3y

Substitute the values of x and y

= 3(1.5)+3(5)

= 4.5 + 15

= $19.5

The Emdin family spent $19.5 on their meal

Answer:

The correct answer choices are:

1) It is a real number

2) It is an irrational number

Step-by-step explanation:

So we have the number:

[tex]\sqrt2[/tex]

First, let's define each of the terms:

Real numbers are all of the irrational and rational numbers. If a number is irrational or rational, then they are a real number. Any number that does not include the imaginary number i is real (you'll learn this eventually. It's actually really interesting!).

Irrational numbers are the numbers that do not terminate nor repeat. Examples include π or √3. Note that numbers like 1/3 which is .3333 is not irrational because they are repeating. π, on the other hand, does not repeat and never ends.

Rational numbers are the numbers that terminate or repeat. They also include the integers, whole numbers, and natural numbers.

So, the √2. First, it's real because it doesn't deal with imaginaries.

Next, use a calculator and calculate √2. We can see that it is about 1.41423562... This number does not repeat. And it does not terminate (end). In other words, √2 is a irrational numbers.

Since it is irrational, it cannot be rational. Since it's not rational, it cannot be an integer, whole number, or a natural number.

Therefore, the correct answer choices are:

1) It is a real number

2) It is an irrational number

Answer:

[tex]\Large \boxed{\mathrm{It \ is \ a \ real \ number.}} \\ \\ \Large \boxed{\mathrm{It \ is \ an \ irrational \ number.}}[/tex]

Step-by-step explanation:

[tex]\sqrt{2}[/tex]

Real numbers includes all the rational and irrational numbers.

Not real numbers include all the imaginary numbers.

Integers includes all whole numbers that are negative, positive, or zero.

Rational numbers can be expressed as the quotient of two integers.

Irrational numbers cannot be expressed as the quotient of two integers.

[tex]\sqrt{2}= 1.41421356237......[/tex]

The result of square root of 2 keeps going on.

It cannot be expressed as the quotient of two integers.

Therefore, the square root of 2 is an irrational number.

It is a real number since it is an irrational number.

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

[tex]c_{1,2}[/tex]  =   (−q±  [tex]\sqrt{D}[/tex]   )/2p=(211.91±[tex]\sqrt{6904.76}[/tex])/2

​[tex]c_{1,2}[/tex]  =105.95371114±41.5474295834  

([tex]c_{1}[/tex]−147.501140726)([tex]c_{2}[/tex]−64.4062815596)=0

[tex]c_{1}[/tex]=147.501140726  

[tex]c_{2}[/tex]=64.4062815596  

Answer:

The polynomial is -2x³ + 13x² + 3x - 54.

Step-by-step explanation:

The binomial expression is: (x - 6)

The trinomial expression is: (-2x² + x + 9)

Multiply the two expressions to determine the resulting polynomial as follows:

[tex](x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)[/tex]

                                   [tex]=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54[/tex]

Thus, the polynomial is -2x³ + 13x² + 3x - 54.

Answer:

80.145817

Step-by-step explanation:

4√10 = 80.145817

Answer:

98

Step-by-step explanation: All you have to do is multiply 6 by 3 and then multiply that answer by 2. Then you multiply 9 by 8 and subtract 2, then you add all that together and finally, subtract it by 8

Answer:

The answer is 402.

Step-by-step explanation:

First thing to do is substitute the variables.

6(3)^2+(9(8)-2)+8

Now, multiply and subtract what is in the parenthesis.

6(3)^2+(72-2)+8

6(3)^2+70+8

Now, multiply once again.

18^2+70+8

Now, simplify the exponents.

324+70+8=402

Answer:D

Step-by-step explanation:

Hope that helped

Answer:

its in the balls

Step-by-step explanation:

Answer:

Alisha's approach is simpler and less complicated

Step-by-step explanation:

Given:

(m^2*n^-3) / (m^6*n^-1)

Tyrone's approach.

(m^2*n^-3) / (m^6*n^-1)

(m^2*n^-3)^3 / (m^6*n^-1)^3

You can find the cube root of both the numerator and denominator in order to eliminate the third power

3√((m^2*n^-3)^3 / 3√(m^6*n^-1)^3

This will take us back to the original expression

(m^2*n^-3) / (m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach.

(m^2*n^-3)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

The approach of both of them are correct, however, Tyrone's approach will make the expression more complicated but they would still arrive at the same answer. 1/(m^4*n^2)

Answer:

$70.125

Step-by-step explanation:

First multiply $425*5.5/100*3 and you get:

$70.125

Answer:

Total- 617.48       Interest- 258.48

Step-by-step explanation:

First, we need to find out what 8% of 359 is.

.08 times 359 = 28.72. This is how much interest is gained in a year. Since she waited 9 years, we multiply 28.72  by 9 and get 258.48. This is the total interest.

Now we just add 258.48 and 359 to get 617.48.

Answer:

617.48

Step-by-step explanation:

SI = P x R x T / 100

SI = Simple Interest

P = Principal

R = Rate

T = Time

SI = 359 x 9 x 8 / 100

=> SI = 2872 x 9 /100

=> SI = 25848 /100

=> SI = 258.48

New Balance = Principal + Simple Interest

=> New Balance = 359 + 258.48

=> New Balance = 617.48

Answer:

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{300}{\pi} [/tex]

Find the square root of both sides

That's

[tex]r = \sqrt{ \frac{300}{\pi} } [/tex]

r = 9.7720502

We have the final answer as

Hope this helps you

Answer:

-4.33333333333

Step-by-step explanation:

Greetings from Brasil...

To add or subtract fractions we can use the following expression:

- 5 and - 5/1 is the same

- 5 + 2/3 = - 5/1 + 2/3

(-5.3)/(1.3) + (2.1)/(1.3)

(- 15 + 2)/3

Answer:

-1/4

Step-by-step explanation:

take two points (0, -2) & (-4, -1)

use the slope formula

(y₂ - y₁) / (x₂ - x₁)

(-1 + 2) / (-4 - 0) = 1/-4

y = -1/4x + b

slope is -1/4

Answer:

1. 17.27 cm

2. 19.32 cm

3. 24.07°

4. 36.87°

Step-by-step explanation:

1. Determination of the value of x.

Angle θ = 46°

Adjacent = 12 cm

Hypothenus = x

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 46 = 12/x

Cross multiply

x × Cos 46 = 12

Divide both side by Cos 46

x = 12/Cos 46

x = 17.27 cm

2. Determination of the value of x.

Angle θ = 42°

Adjacent = x

Hypothenus = 26 cm

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 42 = x/26

Cross multiply

x = 26 × Cos 42

x = 19.32 cm

3. Determination of angle θ

Adjacent = 21 cm

Hypothenus = 23 cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 21/23

Take the inverse of Cos

θ = Cos¯¹(21/23)

θ = 24.07°

4. Determination of angle θ

Adjacent = 12 cm

Hypothenus = 15cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/15

Take the inverse of Cos

θ = Cos¯¹(12/15)

θ = 36.87°

Answer:

Hey there!

n+19=40

  -19=-19

n=21

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ n = 21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n + 19 = 40}[/tex]

Move 19 to right hand side and change it's sign

⇒[tex] \sf{n = 40 - 19}[/tex]

Subtract 19 from 40

⇒[tex] \sf{n = 21}[/tex]

Hope I helped!

Best regards!!

Answer:

1.  1 + 1 x 4 ÷ 1 = 8

Hope this helps.

Answer: 140%

Step-by-step explanation:

From the question, we are informed that price increases from $50 to $120. The percentage change will be:

= (New price - Old price)/Old price × 100

= (120 - 50)/50 × 100

= 70/50 × 100

= 1.4 × 100

= 140%

Answer: 37.70 inches

Step-by-step explanation:

Forumla for circumference: C = 2πr

C = 2π(6)

C = 12π

C= 37.6991118431

C = 37.70 (rounded)

Answer:

Input value: 3

Step-by-step explanation:

If I'm understanding the question correctly it would look like this.

[tex]10 = 3x + 1[/tex]

Next: Subtract one

[tex]9 = 3x[/tex]

Divide by three to get x.

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

In this we have give the value of x = 10

[tex]f(x) = 3x + 1[/tex]

[tex]f(10) = 3(10) + 1[/tex]

[tex]f(10) = 30 + 1[/tex]

[tex]f(10) = 31[/tex]

so the value of x is 31

hope it helps

Answer:

2.78 meters

Step-by-step explanation:

Subtract 6.22 from 9

9 - 6.22

= 2.78

So, she had 2.78 meters of rope left

Answer:

[tex]\huge\boxed{\mathrm{2.78\ meters}}[/tex]

Step-by-step explanation:

Heather had = 9 meters

She cut away = 6.22 meters

Heater have left:

=> 9 - 6.22

=> 2.78 meters