Find the volume of the following cylinder. Use π=3.14
V=

Answer:

[tex]4x ^{2} - 2x - 42 \\ 2(2 {x}^{2} - x - 21) \\ 2(2 {x}^{2} + 6x - 7x - 21) \\ 2(2x(x + 3) - 7(x + 3) \\ 2(2x - 7)(x + 3)[/tex]

Answer:

2x - 7

Step-by-step explanation:

4x² - 2x - 42 ( factor out 2 from each term )

= 2(2x² - x - 21) ← factor the quadratic

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

product = 2 × - 21 = - 42 and sum = - 1

the factors are+ 6 and - 7

use these factors to split the x- term

2x² + 6x - 7x - 21 ( factor the first/second and third/fourth terms )

= 2x(x + 3) - 7(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x - 7)

then

4x² - 2x - 42 = 2(x + 3)(2x - 7) ← in factored form

with 2x - 7 as a factor

Answer:

Ecological study

Step-by-step explanation:

Answer: I believe the answer is d or b

Step-by-step explanation:

The number of pizza pieces left is (x + 4) / 4. Option c

Let's assume the total number of pizza pieces is represented by 'x'.

Kevin takes 1/4 of the total pieces, which is (1/4) * x = x/4.

Keith takes one piece less than twice the number of pieces Kevin took, which is 2 * (x/4) - 1 = (2x/4) - 1 = x/2 - 1.

To calculate the number of pizza pieces left, we need to subtract the sum of Kevin's and Keith's pieces from the total number of pieces (x):

Leftover pieces = Total pieces - (Kevin's pieces + Keith's pieces)

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

= x - (3x/4 - 1)

= x - 3x/4 + 1

= (4x - 3x + 4) / 4

= (x + 4) / 4

Therefore, the number of pizza pieces left is (x + 4) / 4.

The correct option among the given choices would be (c) 1/2x + 1.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

Step-by-step explanation:

hope this help uhh ...

have a good day.

[tex]\tt AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\tt AB=\sqrt{(-3-5)^2+(-3-1)^2}\\\\AB=\sqrt{-8^2+-4^2}\\\\AB=\sqrt{80}=4\sqrt{5}[/tex]

Answer: 50

Step-by-step explanation:

|-20| = 20

|30| = 30

20 + 30 = 50

Probabilities are used to determine the chances of events

Probability that a person selected at random is a left-handed male

From the table, the number of left-handed male is 5, and a total of 121 people were surveyed.

The probability is then calculated as:

[tex]p = \frac{5}{121}[/tex]

Hence, the probability that a person selected at random is a left-handed male is 5/121

Probability that a person selected at random is a right-handed

From the table, the number of right-handed people is 109

The probability is then calculated as:

[tex]p = \frac{109}{121}[/tex]

Hence, the probability that a person selected at random is a right-handed is 109/121

Read more about probabilities at:

https://brainly.com/question/25870256

Using it's concept, it is found that the probabilities are as follows:

1. A.) 4%

2. D.) 90%

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item 1:

Total of 121 people, 5 are left handed males, hence:

p = 5/121 = 0.0413 = 4%.

Item 2:

109 out of 121 people are right-handed, hence:

p = 109/121 = 0.9 = 90%.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. Hank can wrap 2 more boxes than John in 20 minutes.

Answer:

x + 6

Step-by-step explanation:

Edit:

A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:

"

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 6

x – 3

x + 1

x + 6

"

As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.

When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.

So (x + 6), (x + 3) and x are factors of f(x).

Of the options, the correct answer is x + 6.

The complete question with verified answer is here: https://brainly.com/question/3875529

First let's check for zeros

Mark the x intercepts

The factors are

Answer:

miles left = 150 - 6d

Step-by-step explanation:

To create this expression, let 150 be the total number of miles she needs to run. If she runs 6 miles every day, the expression for miles she has left is the total miles - 6* how many days she has been running. Your final expression for miles she has left should be 150 - 6d.

Hopefully this helps- let me know if you have any questions!

The value of x when y is 8 is 9.75.

It is given that

y ∝ 1/x

y = k/x......(1)

Where k is a constant of proportionality

The constant of proportionality is the ratio that relates two given values.

When y =13, x=6

Means, 13 = k/6

k = 78

Putting the value of k in equation (1)

y = 78/ x

8 = 78/ x

x =9.75

Therefore, The value of x when y is 8 is 9.75.

To get more about the constant of proportionality visit:

https://brainly.com/question/1835116

Answer:

slope: -2/12

slope-intercept form; y= -2/12x - 3.83

Step-by-step explanation:

Plot the two points and count the rise and the run it takes to get from one point to the other.

Answer:

x(x-1)

Step-by-step explanation:

[tex]x^{2} -x[/tex]

look for what both functions share, they both share an x,

which you can factor out,

x(x-1)

and you have your answer :)

Answer:

48 feet of fencing!!

Step-by-step explanation:

hope this helps! God bless you! <33

Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

[tex] = {360}^{0} \div 10[/tex]

[tex] = {36}^{0} [/tex]

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

[tex] = \frac{1}{n} \times 2\pi \times r[/tex]

[tex]= \frac{1}{10} \times 2\ \frac{22}{7} \times 50[/tex]

[tex] = 31.42 \: in[/tex]

Answer: 36 degrees

Step-by-step explanation:

A circle is 360 degrees.

If you divide 360 degrees by 10, (10 sectors) you get 36.

The answer is therefore 36 degrees. (don't forget your labels!!!)

Answer:

[tex]k = \frac{322}{27} [/tex]

Step-by-step explanation:

x + 3 = 0 → x = - 3

25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13

25 + 324 - 27k - 3 - 11 = 13

349 - 27k - 14 = 13

349 - 14 - 13 = 27k

349 - 27 = 27k

322 = 27k

k = 322/27

Answer:

Second one

Step-by-step explanation:

See

greater to lower means

So

Option B is correct

Answer: y=0.25x+4

Step-by-step explanation:

Put the values

Area:-

[tex]\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)[/tex]

[tex]\\ \rm\Rrightarrow 12(21)[/tex]

[tex]\\ \rm\Rrightarrow 252m^2[/tex]

Answer:

Step-by-step explanation:

Divide the quadrilateral field into two triangles by its diagonal.

Area of a triangle is given by the equation 1/2*base*height.

The top triangle's area = 1/2*24*13 = 156 m^2

The bottom triangle's area = 1/2*24*8 = 96 m^2

Combining, the area of the field = 156 + 96 = 252 m^2

Answer: 146

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A) this is SSA, not SAS.

b) I'm not sure what this reflection would be

C) Don't assume

Answer:

There is no square picture attached.

SEE BELOW FOR MORE

Step-by-step explanation:

Although, the area will be multiplied by 4.

For example, if the side values are 2,

The area is 4.

But if we enlarge it by a scale factor of two, the side values will be 4.

The area will be 16.

Если вы выбираете центр A, то радиус 3 сантиметра, если вы выбираете центр C, то радиус составляет 2 сантиметра, пожалуйста, отметьте меня как самого мозгового

Answer:

3x=27

x=27÷3

x=9

here is your answer

mark as brilliant

Answer:

[tex]\huge\boxed{\sf\:x = 9}[/tex]

Step-by-step explanation:

[tex]3x = 27[/tex]

Divide both the sides of the equation by 3.

[tex]x = \frac{27}{3}[/tex]

Now, solve it.

[tex]\boxed{x = 9}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:

8

see image for work

Hey there!

ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)

WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2

= 2 + 24 - 2 × 7 - 2

= 26 - 2 × 7 - 2

= 26 - 14 - 2

= 12 - 2

= 10

NEW EQUATION:

0.75(10)

SIMPLIFY IT!
7.50 ≈ 7.5

Therefore, your answer should be: 7.5

~Amphitrite1040:)

Answer:

Step-by-step explanation:

are u on russian math?

Answer:

Step-by-step explanation:

Hello!

This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.

Isosceles trapezoid

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.

The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.

Good luck:)