Given g(x) = 3x - 1, find g(2).

Answer:

Volume = 665 cm³

Step-by-step explanation:

We can calculate the volume of a cylinder using the following formula:

[tex]\boxed{\mathrm{Volume = \pi r^2 h}}[/tex],

where:

• r = radius of cylinder

• h = height of the cylinder

In the question, we are told that the diameter of the cylinder is 8.4 cm. Since the diameter is twice of radius:

[tex]\mathrm{radius = 8.4 \div 2}[/tex]

          [tex]= \bf 4.2 \: cm}[/tex]

We are also told that the height of the cylinder is 12.0 cm. Therefore, using this information, as well as the formula above, we can find the volume of the cylinder:

[tex]{\mathrm{Volume = \pi \times (4.2 \mathrm{\: cm})^2 \times 12.0 \mathrm{\: cm}}}[/tex]

            [tex]= \pi \times 17.64 \mathrm{\: cm^} \times 12.0 \mathrm{\: cm}[/tex]

            [tex]\approx \bf 665 \: cm^3[/tex]

Therefore the volume of the cube is 665 cm³.

Answer:

-23.4

Step-by-step explanation:

-0.0468 ÷ 0.002 = -23.4 (A negative divided by a negative is a positive!)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

i didn't understand please write it in a clearer way so I can help

Answer: given clear information about the question

Step-by-step explanation:

What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!

The probability of the whole batch getting selected or marked as okay is 0.9030 (most likely).

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and 1 refers to an event with the highest possibility.

Now in the given problem statement that in order to evaluate the batch of a product, a sample is selected at random. The sample will be evaluated called the acceptance sampling and if the sample turns out to be undefective, production will be marked okay.

The purpose here is to find the probability that the entire batch will be selected, and it is only possible for all the three random products that are selected to turn out to be okay.

Now we will list down the given data and then solve it,

Total products manufactured = 4500 CDs

Defective pieces = 150 CDs

Good/Undefective CDs = Total products - Defective pieces

= 4500-150

Good/Undefective CDs = 4350

Now the three samples are chosen at random;

P (first good) = 4350/4500 if not replace....

then (one less choice and one less good)

P (the second one is not defective, but it is not)

= 4350/4499

If you don't replace...

If (2 less to choose from and 2 less non-defective)

P(3rd is not defective (1st AND 2nd is not defective ))

= 4350/4498

Just multiply these 3 fractions

(4350 ( 4349 > ) (4348) ) / (4500 (4499) (4498) ) )

= 0.9030

So the probability of the whole batch to get selected or marked as okay is 0.9030 (most likely).

More problems related to the probability are in the link below.

brainly.com/question/11234923?referrer=searchResults

#SPJ4

Answer:

m

------- <------ fraction bar means divide too

z + u

Hope this helps :)

The value of f(-1) according to the function f(x) given is; 6.

It follows from the task content that the function, f(x) = 2x² + 4.

On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;

f(-1) = 2(-1)² + 4

f(-1) = (2×1) +4

f(-1) = 6.

Ultimately, f(-1) = 6.

Read more on function evaluation;

https://brainly.com/question/2284360

#SPJ1

Answer:

6.08

Step-by-step explanation:

since 2 is lower than 5 we will use two to round it up

the number 7 will be used

making the 2 to be called 1 add it to 7 making it

8

Rounding 6.027 to the nearest hundredth gives us 6.03.

To round 6.027 to the nearest hundredth,

Since we know that,

Changing a number's digits so that it approximates a value is known as rounding.

In other words, when rounding numbers, we substitute an approximated value for the original number, which is a shorter and simpler representation of the original number. Finding the estimated value of the supplied decimal number up to 2 decimal places is known as rounding to the nearest hundredth.

we first need to identify the second digit after the decimal point, which is 2.

If this digit is less than 5, the number rounds down to 6.02.

If it is 5 or greater, the number rounds up to 6.03.

Since 7 is greater than 5, we round down to 6.03.

To learn more about rounding of numbers visit:

https://brainly.com/question/28128444

#SPJ6

Answer:

(1, -2).

Step-by-step explanation:

The robot is at the point (-3, -2).

Just add 4 to the x-coordinate/

The possibility of the outcomes of third coin turn up a head is 2⁹.

Probability:

Probability is the calculated by dividing the favorable outcome by the total number of outcomes.

Given,

Ten coins are tossed simultaneously.

Here we need to find the how many of the outcomes will the third coin turn up a head.

Here we know that,

The third coin must be a head.

So, that means the rest of the coins can be heads or tails.

Therefore, possibility of these can be written as,

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

different outcomes for the rest of the coins.

Which means the rest of the coins can be either head or tail but the third one is head.

Therefore, the possibility of getting third coin as head is 2⁹.

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

a. 3/5

b. 270 girls

c 450 students.

3 450 13350

_ x ___ = ______ = 270 =270 girls

5 1 5

Answer:

A

Step-by-step explanation:

The line travels through the plane and its intersection point is labeled C

The payment she gets after 22 hours of working is $187.

According to the statement

We have to find that the total amount she earned.

So, For this purpose, we know that the

Straight-time pay is the total amount of money you earn in a given pay period.

From the given information:

Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?

Then

The amount she get as a rate per hour = $8.50

And

The time for which she works =  22 hours

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Now multiply these to get the answer

Pay she get after the work of the 22 hours = $187

So, The payment she gets after 22 hours of working is $187.

Learn more about Straight-time pay here

https://brainly.com/question/17178240

#SPJ1

He typically work each day for 10 hours.

According to the question, the expression can be written as:

The time taken to stretch the fingers = (1/2)t

Similarly, the time taken to smashed toes = (1/5)t

Total time = 7 hours

Now, the final expression can be written as:

(1/2)t + (1/5)t = (7)

(7/10)t = 7

t = 10 hours

Hence, he typically work each day for 10 hours.

What is time and work?

The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.

To learn more about the time and work from the given link:

https://brainly.com/question/26046491

#SPJ9

Answer:

2) y= 4x+17

Step-by-step explanation:

y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17

Answer:

43

Step-by-step explanation:

divide 10 3/4 by 1/4

Jorge's drawing of the triangle is greater than the first drawing.

Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:

x / y = 30            (1)

x / z = 10             (2)

By (1) and (2) we find the relationship between the two lengths of the two drawings:

30 · y = 10 · z

z = 3 · y

Jorge's drawing of the triangle is greater than the first drawing.

To learn more on scales: https://brainly.com/question/22312172

#SPJ1

The linear equation applicable for the statement is a w = 8m+3.

According to the statement

We have to find that the linear equation related to the statement.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the given information:

Bill's spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.Let m represent the number of months since school began and w represent the total number of spelling words.

Then

Total number month when words have been added = m

Total number of words after m month = w

At starting the number list = 3

Then

The linear equation become

w = 8m+3

This is the linear equation.

So, The linear equation applicable for the statement is a w = 8m+3.

Learn more about linear equation here

https://brainly.com/question/2030026

#SPJ1

There were 29 nickels and 10 dimes in the bank.

We know that:

1 dime = 5 cents

1 nickel = 10 cents.

Also, $ 3.40 = 340 cents

Let the  number of nickels be n and the number of dimes be d.

Now, we are given that:

5 dimes and 2 nickels were taken away.

So, total coins = 46 - 2 - 5 = 46 - 7

Total coins = 39

We get the equation:

n + d = 39

d = 39 - n

Now, we also know that:

5 d + 10 n = 340

d + 2 n = 68

Put the value of d, we get that:

39 - n + 2 n = 68

n = 68 - 39

n = 29

d = 39 - n

d = 39 - 29

d = 10

Therefore, we get that, there were 29 nickels and 10 dimes in the bank.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

The polynomial function V to represent the volume of a round bale is  V(x) = π(x + 5)²(x + 8).

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Let the dimensions of round bale is x+5 feet radius and 3 feet wide.

As we know that round bale is a shape of cylinder in which we will consider wide instead of height.

Volume of Round Bale (V) = πr²w

    V = πr²w = π(x + 5)²[(x + 5) + 3]

V(x) = π(x + 5)²(x + 8)

Hence, we got the polynomial function that represent the volume of round bale is  V(x) = π(x + 5)²(x + 8).

To learn more about Polynomial Function visit :

https://brainly.com/question/12976257

#SPJ1

Answer:

length=12

width=7

Step-by-step explanation:

I tried random numbers like 6+6+11+11 then tried another one 8+8+13+13. After that I found out the pattern and worked out the answer

Answer:

-0.1

Step-by-step explanation:

-1/100 = -0.01

1/10 = 0.1

-0.01/0.1 = -0.1

The equation in slope-intercept form is y = -3/2x + 9. Slope of the equation is - 3/2 and y - intercept is 9.

Calculate the slope (m).

Keep in mind that the slope is determined by dividing the change in y by the change in x. (rise over run).

Find the y-value of the y-intercept by solving (b).

In the formula y=mx+b, swap out m and b with their respective values.

The given equation is -

3x + 2y = 18

divide the equation by 2

3/2x + y = 9

Rearranging the equation -

y = -3/2x + 9

Comparing it with y = mx + c

so slope m = -3/2

and y - intercept = 9

To learn more about slope - intercept form from given link

https://brainly.com/question/19440459

#SPJ4

The statement "angles 4 and 6 are alternate interior angles" is true

Given,

The statement " Angles 4 and 6 are alternate interior angles"

Here,

∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .

So, ∠4 and ∠6 are alternate interior angles

Hence, the statement "angles 4 and 6 are alternate interior angles" is true.

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

Angles 4 and 6 are alternate interior angles.

Learn more about alternate interior angles here

brainly.com/question/2656732

#SPJ4

Using the distance formula, the distance between the pair of points R(-2,3)  and S(3,15) is 13 units

Given,

The points = R(-2,3)  and S(3,15)

We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2} -y_{1})^{2} }[/tex]

Substitute the values in the equation

The distance = [tex]\sqrt{(3--2)^{2}+(15-3)^{2} }[/tex]

[tex]=\sqrt{5^{2}+12^{2} }\\ =\sqrt{25+144}\\ =\sqrt{169}[/tex]

=13 units

Hence, using the distance formula, the distance between the pair of points R(-2,3)  and S(3,15) is 13 units

Learn more about distance here

brainly.com/question/4058851

#SPJ4

If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.

We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.

To prove if AD is perpendicular to MN, it is also perpendicular to OP

ABN=90o

( Since AD is perpendicular to MN)

BCP=ABN=90o

Learn more about perpendicular - https://brainly.com/question/12305421

[tex]10\frac{2}{3}[/tex]  cups of liquid fertilizer is needed to make 80 gallons of spray.

It is given that 1 cup of liquid fertilizer to make [tex]7\frac{1}{2}[/tex] gallons of spray.

On simplifying the gallons , we get

    [tex]7\frac{1}{2}=\frac{7\times2+1}{2} \\\\7\frac{1}{2}=\frac{15}{2}[/tex]

Using unitary method , we get

[tex]\frac{15}{2}[/tex] gallons of spray makes = 1 liquid fertilizer

1 gallons of spray makes =  [tex]\frac{2}{15}[/tex] liquid fertilizer

80 gallons of spray [tex]=\frac{2}{15} \times80\\[/tex]

                                [tex]=\frac{160}{15} \\\\=\frac{32}{3}[/tex]

Which can be written as [tex]10\frac{2}{3}[/tex]

Learn more about unitary method here :

https://brainly.com/question/24587372

#SPJ9

Answer: If your rounding to the second spot after the decimal it would be in the hundredths place so in case it would be 2874.29 Although I'm not sure if that's how you wanted it to be done.

Round the number 2,874.2878 to two decimal places will be 2,874.29.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 2,874.2878

Round 2,874.2878 to two decimal places.

If the third place after the decimal is more than 5, then the second place after the decimal will be increased by one.

In the third place after the decimal is 7, then the number 8 is increased by one that is 9.

Round the number 2,874.2878 to two decimal places will be 2,874.29.

More about the rounding of a number link is given below.

https://brainly.com/question/19031319

#SPJ2

The solution of the equation (2x - 4) (x + 6) = 0  is is x = {2, -6}  (C)

The solutions of an equation means if we substitute these solutions into the variables of the equation, it will lead to the correct equality.

Suppose we have an equation in the form of:

(x - a) (x - b) = 0

This is called a factorization form. The equality will be true if either:

The given equation is:

(2x - 4) (x + 6) = 0

This equality will be correct if:

2x - 4 = 0

⇒ x = 2

or

x + 6 = 0

⇒ x = -6

Hence, the solution is x = {2, -6}  (C)

Learn more about solutions of equations here:

https://brainly.com/question/17145398

#SPJ4

Answer:

12

Step-by-step explanation:

12 divided by 2 = 6

and
6 - 4 = 2

Answer:12

Step-by-step explanation:

Your welcome!