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Find the volume of the following figure.

12 cm3
15 cm3
14 cm3
13 cm3

Answer:

x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)

Step-by-step explanation:

From the given graph of the polynomial, x³ - 6·x² + 6·x + 8, we have that one of the zeros of the polynomial, which is one point the graph cuts the x-axis is given as follows;

At a zero, we have, x = 4

∴ x - 4 = 0 is a factor of the polynomial

Dividing the given polynomial by (x - 4), gives;

x² - 2·x - 2

(x³ - 6·x² + 6·x + 8)÷(x - 4)

x³ -4·x²

-2·x² + 6·x + 8

-2·x² + 8·x

-2·x + 8

-2·x + 8

0

∴ (x³ - 6·x² + 6·x + 8)÷(x - 4) = x² - 2·x - 2

∴ (x - 4) × (x² - 2·x - 2) = x³ - 6·x² + 6·x + 8

Factorizing x² - 2·x - 2, gives;

x = (2 ± √((-2)² - 4×1×(-2)))/(2 × 1) =  (2 ± 2·√(3)/(2) = (1 ± √(3)

Therefore, x = 1 + √3, (x - (1 + √3)) = 0 or x = 1 - √3, (x - (1 - √3)) = 0 which gives the factors, after factorizing completely as follows;

x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)

Step-by-step explanation:

Convert each fraction by setting up proportion out of 100.

[tex] \frac{60}{90} = \frac{?}{100} [/tex]

[tex] \frac{78}{150} = \frac{?}{100} [/tex]

[tex] \frac{75}{120} = \frac{x}{100} [/tex]

Cross multiply each fraction. let x represent the missing number.

[tex]6000 = 90x[/tex]

[tex]7800 = 150x[/tex]

[tex]7500 = 120x[/tex]

Solve for x

For the first equation.

[tex]x = 66.66666[/tex]

For the second equation

[tex]x = 52[/tex]

For the third equation,

[tex]x = 62.5[/tex]

Round each missing value to the nearest whole value and add the % sign.

60/90=67%

78/150=52%

75/120=63%

He scored the highest on his English test.

You want all of the answers or just one?

Answer:

Step-by-step explanation:

opposite sides of a parallelogram are equal . So,

NM = OL

2x + 5 = x + 10

2x - x = 10 - 5

x = 5

substitute the value of x

NM = 2x + 5

=2*5 + 5

=15

for NO also substitute 5 inplace of x

Answer:

[tex]y = \frac{2}{3} x[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

Step-by-step explanation:

They tell you the slope of the line is -63      :/    m= -63

and then they tell you the y-intercept  is 825   b= 825

Why did you even need to ask about this ?

Answer:

120 crackers

Step-by-step explanation:

Given

[tex]Box = 5[/tex]

[tex]Crackers = 24/box[/tex]

Required

The total number of crackers

To do this, we simply multiply the number of box by the crackers per box

[tex]Total = Box * Crackers[/tex]

[tex]Total = 5 * 24[/tex]

[tex]Total = 120[/tex]

Answer:

w = 26

Step-by-step explanation:

set up an equation; since this is a right angle, it equals 90 degrees

90 = w + 12 + 2w

90 - 12 = w + 2w

78 = 3w

78/3

w = 26

Answer:

w = 26

Step-by-step explanation:

2w +w + 12 =90

3w +12 = 90

      -12    -12

3w = 78       then 3w/3 = 78/3

w=26

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation:

Answer: Hi. The height of the tree is 27 ft

Step-by-step explanation:

Answer link- https://socratic.org/answers/601885

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

Answer:

129 = x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

47+82 = x

129 = x

Answer:

47+82 = x

129 = x

hope it helps

Answer:

10

Step-by-step explanation:

When multiplying numbers of the same base the exponents are added

therefor

n + 10 = 20

n = 10

Answer:

10

Step-by-step explanation:

y^n × y^10 = y^20

y^(n+10) = y^20

n+10 = 20

n = 20-10

n = 10

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

Answer: it b y’all

Step-by-step explanation: I took the test

Answer:

B

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.                                   C(x) = 400x - 0.2x²                               dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,                               C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B. 

Answer-

a. no

b. yes

c. no

Answer:

x=3 and y=−2

Step-by-step explanation:

Multiply the first equation by 4,and multiply the second equation by 3.

4(2x−3y=12)

3(3x+4y=1)

Becomes:

8x−12y=48

9x+12y=3

Add these equations to eliminate y:

17x=51

Then solve17x=51for x:

17x=51

17x

17

=

51

17

(Divide both sides by 17)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=12

Substitute3forxin2x−3y=12:

(2)(3)−3y=12

−3y+6=12(Simplify both sides of the equation)

−3y+6+−6=12+−6(Add -6 to both sides)

−3y=6

−3y

−3

=

6

−3

(Divide both sides by -3)

y=−2

Answer:

[tex](3,-2)[/tex]

Step-by-step explanation:

[tex]2x-3y=12[/tex]

[tex]2(3)-3(-2)=12[/tex]

[tex]6--6=12[/tex]        Two negative signs together makes a addition

[tex]3x+4y=1[/tex]

[tex]3(3)+4(-2)=1[/tex]

[tex]9-8=1[/tex]            

Answer:

what expression

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.

To find the equation/

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

By definition, the graph of Quadratic function is a parabola.

The Standard form of a Quadratic function is the following:

[tex]f(x)=ax^{2} +bx+c[/tex]

Where "a", "b" and "c" are real numbers (a≠0)

It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.

So, given the following Quadratic equation:

[tex]y=-2x^{2} -1[/tex]

You can identify that:

IaI=2

Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.

[tex]y=-3x^{2} +1[/tex]

Where:

IaI=3

Notice that:

3>2

Learn more about quadratic equation here:

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Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

Answer:

y = -5/7x + 1

Step-by-step explanation:

y = -5/7x + 1

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.

2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.

Let x be the sample mean

Let s be the sample standard deviation

Let n be the sample size

Let α be the significance level

Let Z be the standard normal distribution value.

To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:

1. Random sampling:

The sample of 125 workers was selected randomly.

2. Independence:

We assume that each worker's commuting time is independent of each other.

3. Sample size:

n = 125 > 30. This satisfies the condition for the central limit theorem to apply.

4. Normality:

The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).

Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.

Read more about confidence interval

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Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation: