What is the right answer!???????

Answer: x= 5

Step-by-step explanation: Lets solve by completing the square.

You first need to get -15 by itself.

x^2-8x=15   Now you need to complete the square my finding a perfect constant that will go with x^2-8x, then add it to the other side containing -15 to balance the equation out.

-8x/2= -4^2=16 This will be the perfect square.

x^2-8x+16 = -15 + 16

(x-4)^2 = 1 factor into a binomial, then use the square root on both sides.

√ x-4 ^ 2 = √ 1

x-4 = 1

x=5

Answer:

To find the volume of the pipe, we need to subtract the inside cylinder volume from the outside cylinder volume.

Remember that the volume of a circular cylinder is

[tex]V=\pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius and [tex]h[/tex] is the height.

[tex]V_{outside}=\pi r^{2}h= \pi (6in)^{2} (48in)=1,728 \pi in^{3}[/tex]

[tex]V_{inside}=\pi r^{2}h= \pi (5.75in)^{2} (48in)=1,587 \pi in^{3}[/tex]

Notice that we used the height 4 feet in inches units, that's why the height in the formulas is 48 inches, because each feet is equivalent to 12 inches.

[tex]V_{pipe}=V_{outside} -V_{inside} =1,728 \pi in^{3}-1,587 \pi in^{3} =141 \pi in^{3}[/tex]

(A) Therefore, the volume of metal used to build the pipe is 141π cubic inches.

Now, to know the amount of powder-coat we must use, we need to find the surface area of the pipe, which is basically the sum of the surface area of both cylinders.

[tex]S_{inside}=2\pi r^{2}+2\pi rh=2 \pi (5.75in)^{2}+ 2 \pi (5.75in) (48in)= 66.13 \pi in^{2} +552 \pi in^{2} =618.13 \pi in^{2}[/tex]

[tex]S_{powder}=648 \pi in^{2} + 618.13 \pi in^{2} =1,266.13 \pi in^{2}[/tex]

(B) Therefore, we need 1,266.13π sqaure inches of powder to cover the whole pipe.

Answer:

A. volume of the metal used to build the pipe is 141[tex]\pi[/tex] cubic inches.

B. The total surface area to be powder coated is 1122.125 square inches.

Step-by-step explanation:

The length of the cylinder = 4 feet = 48 inches.

Radius of the outside of the pipe = 6 inches.

Radius of the inside of the pipe = 5.75 inches

A. volume of the metal used to build the pipe = volume of the outside pipe - volume of the inside pipe

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of the outside pipe = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                             = [tex]\pi[/tex] × [tex]6^{2}[/tex] × 48

                                             = 1728[tex]\pi[/tex] cubic inches

volume of the inside pipe = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                          = [tex]\pi[/tex] × [tex]5.75^{2}[/tex] × 48

                                          = 1587[tex]\pi[/tex] cubic inches

volume of the metal used to build the pipe = 1728[tex]\pi[/tex] - 1587[tex]\pi[/tex]

                                                                       = 141[tex]\pi[/tex] cubic inches

B. Total surface area of a hollow cylinder = 2[tex]\pi[/tex] ( [tex]r_{1}[/tex] +  [tex]r_{2}[/tex]) ( [tex]r_{2}[/tex] - [tex]r_{1}[/tex] + h)

where [tex]r_{1}[/tex] is the inner radius and [tex]r_{2}[/tex] is the outer radius.

            =  2[tex]\pi[/tex] (6 + 5.75)(5.75 - 6 + 48)

            =  2[tex]\pi[/tex] (11.75 × 47.75)

           = 1122.125[tex]\pi[/tex] square inches

The total surface area to be powder coated is 1122.125 square inches.

Answer:

Rectangular prism          

Step-by-step explanation:

Answer:

  Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Logically, it makes no sense for Zoe to say, in effect, ...

  "All E are A, but A are never E."

That is incorrect on its face. At least, it means that "sometimes A are E."

__

The appropriate choice is the first one:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Answer:

D.200.96 cm

Step-by-step explanation:

Given radius (R) = 8

Diameter = 2R = 16

Circumference = 2πR

= 16π

= 50.265482457437

Area = πR2

= 64π

= 201.06192982975

Answer:

1310720

Step-by-step explanation:

Find out the frist part "4 to the square root of 81"  262144

then times it by 5

to get 1310720

Answer:9%

U already provided the answer. Anyways have a good day!!

The probability of choosing a captain that is a girl two days in a row is 9%

The given parameters are:

Boys = 21

Girls = 9

The total number of students is

Total = 21 + 9

Total = 30

This means that the probability of selecting a girl is:

P(Girl) = 9/30

For two days, the required probability is

P = 9/30 * 9/30

Evaluate

P = 9%

Hence, the probability of choosing a captain that is a girl two days in a row is 9%

Read more about probability at:

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Answer:A

Step-by-step explanation:

h=85 f=36

Since it is a right angled triangle we can apply Pythagoras principle to get g

g=√(h^2 - f^2)

g=√(85^2 - 36^2)

g=√(85x85 - 36x36)

g=√(7225 - 1296)

g=√(5929)

g=77

Answer:

The overview of the problem is listed in the segment below on the explanation.

Step-by-step explanation:

The given values are:

Sample mean, [tex]\bar{Z}=0.017[/tex]

The hypothesized mean value, [tex]\mu_{0}=0.02[/tex]

Population standard deviation, [tex]\sigma=0.036[/tex]

As we know, the status of the test is as follows:

⇒  [tex]z^* = \frac{\bar X - \mu_0}{\frac{\sigma}{\sqrt{n}}}[/tex]

On putting the values, we get

⇒       [tex]= \frac{0.017 - 0.02}{\frac{0.036}{\sqrt{40}}}[/tex]

⇒       [tex]=-0.5357[/tex]

Now, even though this is a one-sided check, here so the p-value is measured as:

[tex]p=P(Z<-0.5357)[/tex]

  [tex]=0.2[/tex]

Consequently p-value > 0.05 the check isn't relevant so there is no data to suggest that perhaps the concentration of mercury fallen from 1980 until 2012.  

Answer:

D

Step by Step Explanation:

To find the volume of a cube, you need to cube the side length. In this case, since the side length is 8, the volume is 8^3=512 cubic inches, or answer choice D. Hope this helps!

Answer:

98

Step-by-step explanation:

Let the sailboats be s and the dinghies be d.

We have that:

s : d = 5 : 7

In other words:

s / d = 5 / 7

If there are 70 sailboats, this implies that s = 70

=> 70 / d = 5 / 7

=> d = (70 * 7) / 5 = 490 / 5 = 98

There will be 98 dinghies.

Answer:

  x = 3

Step-by-step explanation:

2(x)+2=8

2*x+2-(8)=0

Pull out like factors :

2x - 6  =   2 • (x - 3)

2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 x-3 = 0

X=3

Answer:

x= 3

Step-by-step explanation:

2x+2=8

substact 2 from both sides of the eqation,

then you get 2x=6

then you divide each side by 2 and get x= 3

hope this helped, good luck !!

brainliest ?? :))

Answer:

Option B

Step-by-step explanation:

The figures are made out of squares.

[tex]\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}[/tex]

Square 1 (the gray square):

The side measure is 4 cm.

[tex]A = 4^2 = 16cm^2[/tex]

Square 2 (white square):

The side measure is 2 cm.

[tex]A=2^2=4cm^2[/tex]

Subtract the area of the white square from the gray square to get the area of the shaded region:

[tex]16 - 4 =12[/tex]

The shaded region is [tex]12cm^2[/tex].

Option B should be the correct answer.

Brainilest Appreciated!

Answer:

0.28

Step-by-step explanation:

The sum of the geometric value progression is S = 0.28

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }

So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }

Let the first term of the GP be a₁ = 0.99

Now , the common ratio of GP , r = 0.99

And , the number of terms in GP = 80

And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

On simplifying , we get

S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )

On further simplification , we get

S₈₀ = 0.7224

So , the sum of the GP is S = 1 - S₈₀ = 0.28

Hence , the sum of GP is 0.28

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Answer: D

Step-by-step explanation: Both the Equality property and the Identity property

Answer:

Step-by-step explanation:

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y. Since a function is defined on its entire domain, its domain coincides with its domain of definition, the subset of the domain for which the function associates an image. However this coincidence is no longer true for a partial function since the domain of definition of a partial function can be a proper subset of the domain.

Answer:

Total number of strings = 7350

Step-by-step explanation:

Given:

MISSISSIPPI

Required:

Number of strings to contain no two consecutive I's

To do this, we start by calculating the number of strings that can be formed without any I;

We're left with MSSSSPP

7 characters in total

4 S and 2 P

The number of strings is calculated as follows

Number of strings = [tex]\frac{7!}{4!2!}[/tex]

Number of strings = [tex]\frac{7*6*5*4!}{4!*2*1}[/tex]

Number of strings = [tex]\frac{7*6*5}{2*1}[/tex]

Number of strings = 7 * 3 * 5

Number of strings = 105

Then we count the number of possible spaces of I; This is as follows

-M-S-S-S-S-P-P-

This is represented by the - sign.

In total, there are 8 spaces, the 4 I's can occupy

There number of selection is as follows

[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8!}{4!*4!}[/tex]

[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5 * 4!}{4!*4*3*2*1}[/tex]

[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5}{4*3*2*1}[/tex]

[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = 70[/tex]

Total number of strings = 105 * 70

Total number of strings = 7350

Answer:

11/54 is n did you want it in decimal form 0.2037 bar on top of 03

Answer:

cos L = 55/73

Step-by-step explanation:

The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.

opposite side = 48

adjacent = 55

hypotenuse = 73

cos L = adjacent/hypotenuse

cos L = 55/73

Answer: I believe it’s 3/5

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

just add gtwebtewgbrwgragtgwgtrwgtwebgrw

Answer:

The answer for standard deviation would be:

4.382

Answer:

He ate 1/4 or 4/16 of the pizza. There are 3/4 or 9/12 of the pizza left.

Answer:

a)

2/8 = 1/4 = 3/12

b)

6/8 = 3/4 = 9/12

Answer:

ellipse ; 4 degrees

Step-by-step explanation:

edge’s possible answer 2020

Answer:

The volume of the tank is [tex]452\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cylindrical water tank is 8 ft

Height of the water tank is 9 ft.

It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2h[/tex]

r is radius of cylindrical tank, r = 4 ft

Plugging all the values in above formula,

[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]

or

[tex]V=452\ \text{feet}^3[/tex]

So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].

Answer:

5ft. = 60 in. so yes, 5 feet is more than 56 inches

Step-by-step explanation:

1 ft. = 12 in. , so 5ft. = 60 in.

Answer:

Yes! 56 inches is less than 5 feet

Step-by-step explanation:

5 feet is 60 inches, so 56 inches is less than 60 inches

HOPE THIS HELPS !

PLEASE GIVE BRAINIEST

Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40

Answer:

x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = -3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt(13) or x + 4 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt(13) - 4 or x + 4 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)

Answer:

the answer is 1.6%

Step-by-step explanation:

0.016 × 100/100 =

0.016 × 100% =

(0.016 × 100)% =

1.6%

hope this helps : )

Answer:

[tex]1.6\%[/tex]

Step-by-step explanation:

[tex]0.016 = \frac{16}{1000} [/tex]

let's write this fraction as a percentage

[tex] \frac{16}{1000} \times 100\% \\ = 1.6\%[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!