Let f(x)=4 x, g(x)=1/2x+7 , and h(x)=-2 x+4 . Perform each function operation. (f⁰g)(x)

The trench will require 9168 cubic feet of dirt to be removed.

Here, we are given that a homeowner is digging a 3 -ft-deep trench around the perimeter of his property.

Length of the property = 210 feet

Breadth of the property = 180 feet

Let us now consider one side of the 180-foot-long trench.

There are two such trenches, each with a width of 4 feet and a height of 3 feet.

Thus the volume of the trench = 2(length × breadth × height)

Volume = 180 × 4 × 3 × 2

= 4320 cubic feet

Now we are left with two other sides of the trench with the following dimensions-

Height = 3ft

Breadth = 4ft

Length = 210 - 8 = 202ft

Thus, volume = 202 × 4 × 3 × 2

= 4848 cubic feet

Thus, the total volume of the trench = 4848 + 4320 = 9168 cubic feet.

Hence, The removal of 9168 cubic feet of earth is necessary.

Learn more about volume here-

https://brainly.com/question/1972490

#SPJ9

Your question was incomplete. Check for the missing figure below.

Answer:

The answer is 4,000.

Step-by-step explanation:

The closest to 35xn= 3,465

Answer:

Step-by-step explanation:

35 to the nearest 10 is 40 and 99 to the nearest 10 is 100 so 4 times 100 is 4,000 so your answer should be d. 4,000

Answer:

3000 = 2*2*2*2*3*5*5*5

Step-by-step explanation:

6000/2 = 3000

3000/3 = 1000

1000/2 = 500

500/2 = 250

250/2 = 125

125/5 = 25

25/5 = 5

5/5 = 1

3000 = 2*2*2*2*3*5*5*5

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (500)(0.07)(8) \implies I = 280[/tex]

Answer:

$280

Step-by-step explanation:

500x7%=35

35x8=280

Based on the information provided,  neither Brandi nor Sharana jogged at a slower rate.

Rate can be defined as the speed at which an event happens or an object moves over a particular period of time.

It is also known as the ratio at which two or more term, quantities or objects with different units are compared.

The formula for rate is expressed as;

Rate = distance/ time

From the information given, we have that;

Substitute the values

Brandi's rate = 1/ 30 = 0. 03

Sharana's rate = 1. 5/ 45 = 0. 33

From the values gotten, we can see that neither Brandi nor Sharana jogged at a slower rate.

Thus, neither Brandi nor Sharana jogged at a slower rate.

Learn more about rate here:

https://brainly.com/question/19493296

#SPJ1

Answer:

Number 1 is 4

Number 2 is 10

Step-by-step explanation:

Number 1 is x

Number 2 is 3x - 2

so x + (3x - 2) = 14

x + 3x - 2 = 14

4x = 14 + 2

4x = 16

x  = 4

so

Number 1 is 4

Number 2 is 3(4) - 2 = 10

The correct algebra properties are listed below:

In this problem we find nine cases of mathematical operations with real numbers, each case has to be defined by defining the appropriate property according to real algebra. Now we proceed to define each case:

To learn more on algebra properties: https://brainly.com/question/1448147

#SPJ1

Answer:

the answer to that question is 3

The greatest common factor of [tex]20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}[/tex] is [tex]10x^{4} y[/tex] .

The greatest common factor of a set of numbers is defined as the largest number that divides all the numbers in that given set and leaves 0 as remainder in each case.

In the given expression

[tex]20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}[/tex]

Applying Prime Factorization and Writing all the terms in the above expression as

[tex]20x^{6} y=10x^{4}y *2x^{2}[/tex]

[tex]40x^{4} y^{2} =10x^{4} y*4y[/tex]

[tex]10x^{5} y^{5} =10x^{4}y*xy^{4}[/tex]

As we can see that [tex]10x^{4} y[/tex] is common and greatest in all the terms .

Hence [tex]10x^{4} y[/tex] is the Greatest common factor.

Therefore , the greatest common factor of [tex]20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}[/tex] is [tex]10x^{4} y[/tex] , the correct option is (a)[tex]10x^{4} y[/tex].

The given question is incomplete , the complete question is

What is the greatest common factor of [tex]20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}[/tex]

(a)[tex]10x^{4} y[/tex]

(b)[tex]5x^{2} y^{5}[/tex]

(c)[tex]5x^{4} y[/tex]

(d)[tex]20x^{6} y[/tex]

Learn more about Greatest Common Factor here https://brainly.com/question/207329

#SPJ4

a. Han wrote (1/2, 0) as x-intercept of the line instead of (2, 0).

b. The x-intercept: (2, 0)

The y-intercept: (0, 5)

The y-intercept of a line is the corresponding value of y when the value of x is equal to zero.

On the other hand, the x-intercept of a line is the corresponding value of x when the value of y is equal to zero.

Y-intercept is (0, b), while x-intercept is (b, 0), where b is the value of the point on the axis that is being intercepted.

In slope-intercept form, y = mx + b or y = b + mx, the y-intercept is represented as b, which is (0, b).

Given the equation in slope-intercept form as y = 5 - 10/4x, the y-intercept, b = 5. Therefore, is expressed as (0, 5).

To find the x-intercept, substitute y = 0 into y = 5 - 10/4x:

0 = 5 - 10/4x

Solve for x

-5 = -10/4x

-20 = -10x

-20/-10 = x

x = 2

The x-intercept is (2, 0), while the y-intercept is (0, 5).

Therefore:

a. The Han got the x-intercept wrong, it should be (2, 0), not (1/2, 0).

b. The x-intercept is (2, 0), while the y-intercept is (0, 5).

Learn more about x-intercept and y-intercept on:

https://brainly.com/question/24363347

#SPJ1

Prime factorization of 10 x 4  is 2 x 5 x 2 x 2.

Finding the prime numbers that are multiplied together to produce the original number is the process of prime factorization. The prime factors of 16, for instance, are 2 x 2 x 2 x 2.

Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2 x 3 x 3. Here, the two main factors of 18 are 2 and 3. For instance, 72 = 2 x 3 x 3  x 2 can be written as a product of prime factors. The prime factorization of 72 is said to be the expression 2 x 3 x 3  x 2.

Learn more about prime factorization here

https://brainly.com/question/18187355

#SPJ9

ln(e²) = 2, by properties of logarithm.

Now, as we know by properties of logarithm, [tex]log_b(a)^m = m(log_b(a))[/tex],

ln (e²) = 2 ( ln(e))

Also, as ln (e) = 1, ln (e²)  = 2 (1) = 2.

Hence, ln(e²) = 2, by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

The function's formula is given by c=150-8s .

It is given in the question that

number of candies taken by tyrone in each snack  = 8

number of times tyrone snacks = 18

Total candies= (number of times tyrone snacks)x(number of candies taken in each snack )

Total candies=18x8=144.

There are 6 candies left in the bag .

So total candies = 144+6=150.

It is also given that "s" is the number of snacks tyrone eats .

and "c" is the number of candies remaining.

number of candies tyrone eats in each snack = 8

number of candies tyrone eats in s each snack =8s

the number of candies remaining = (total candies) - (number of candies tyrone eats in s each snack ).

Substituting the values we get

c=150-8s.

Therefore , the function's formula is given by c=150-8s .

The given question is incomplete , the complete question is

Tyrone likes to snack on his big bag of candy. he takes 8 pieces of candy from the bag each time he snacks. after he has snacked 18 times, there are only 6 pieces of candy remaining in the bag. the number "c" of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats. Write the function's formula.

Learn more about Function here https://brainly.com/question/15988752

#SPJ4

Answer:

identify my own strengths

interests and challenge

Answer:

B,A

Step-by-step explanation:

hope that's right

The sum of all decent fractions with a denominator of 20 is 4.

Thus, option (d) is correct.

To find the sum of all decent fractions whose denominator is equal to 20, consider fractions with numerators that are coprime to 20 (i.e., the numerator and 20 have no common factors other than 1).

The decent fractions with a denominator of 20 can be written as:

1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, and 19/20.

To find the sum, add up these fractions:

Sum = 1/20 + 3/20 + 7/20 + 9/20 + 11/20 + 13/20 + 17/20 + 19/20

Sum = (1 + 3 + 7 + 9 + 11 + 13 + 17 + 19) / 20

Sum = 80 / 20

Sum = 4

Therefore, the sum of all decent fractions with a denominator of 20 is 4.

Thus, option (d) is correct.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ7

There are 10000 different possible codes to guess the correct code on the first try..

A percentage, or a figure between 0 and 100 percent, can also be used to express probability. The likelihood of an event occurring increases with its probability value or percentage. How many potential outcomes an event has will determine how likely it is to occur.

1)There are 5040 possible codes if the digits are not repeated.

2)Probability of guessing correct code on first try p = 1/5040.

3)There are 10000 different codes, if the digits are repeated.

Given,

Total digits = 10.

{0,1,2,3,4,5,6,7,8,9}

4 digit code must be formed.

1. Code without repeating digits

 → 4 digit code

Therefore possible ways = 10×9×8×7

= 5040

2. Probability of guessing correct code on first try.

n(A)→ event which has correct code=1

n(S)→total possible ways=5040.

P(A) = n(A)/n(S) = 1/5040

3. If the digits are repeated

→ 4 digit repeated

Therefore possible ways = 10×10×10×10

= 104

= 10000 ways

To learn more about Probability code visit:

brainly.com/question/4470089

#SPJ1

The decay factor for the annual rate of change of -0.1 % is 0.999.

A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.

With the function displayed to the right, you may represent exponential growth or decay.

A(x) = a( 1 + r)ˣ

Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.

Now, we have the annual rate of change as:

r = - 0.1 % = - 0.1 / 100 = - 0.001

From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.

So, let B = 1 + r

B = 1 + r

B = 1 + (- 0.001)

B = 1 - 0.001

B = 0.999

Now, the value of B is less than 1 therefore, the corresponding decay factor is 0.999.

Learn more about growth and decay factor here:

https://brainly.com/question/16702201

#SPJ4

The coordinates of K' are (-2, 3) and the coordinates of M' are (-4, 1)

What are the coordinates of K'?

The graph represents the given parameter

On the graph, we have the following coordinates for point K

K = (4, 1)

The transformation vector is given as

[-6]

[2]

The transformation vector implies that

(x, y) = (x - 6, y + 2)

So, we have

K' = (4 - 6, 1 + 2)

Evaluate

K' = (-2, 3)

Hence, the coordinates of K' are (-2, 3)

What are the coordinates of M'?

The graph represents the given parameter

On the graph, we have the following coordinates for point M

M = (2, -1)

The transformation vector is given as

[-6]

[2]

The transformation vector implies that

(x, y) = (x - 6, y + 2)

So, we have

M' = (2 - 6, -1 + 2)

Evaluate

M' = (-4, 1)

Hence, the coordinates of M' are (-4, 1)

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

A

Step-by-step explanation:

1/3 x 0.5 = 1/6 which is a rational number

I think you should look up the meaning of rational number to know what is the correct answer

No, all functions do not have an inverse functions. Those that do exists named invertible.

The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.

No, all functions do not have an inverse functions. Those that do are called invertible.

To learn more about inverse function, refer to:

brainly.com/question/11735394

#SPJ4

The linear function that contains the points (0,3) and (-1,5) is given by:

y = -2x + 3.

The graph is not given and I couldn't find the problem on a search engine, hence I am going to suppose that two points on the graph are (0,3) and (-1,5).

You can select the value of y when the function crosses the y-axes(y-intercept) and another point and follow the same procedure I am going to do here.

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

For this problem, we have that when x = 0, y = 3, hence the slope is of b = 3. When x = -1, y = 5, hence the slope(change in y divided by change in x) is given by:

(3 - 5)/(0 - (-1)) = -2.

Hence the function is:

y = -2x + 3.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: the answer is: 500,000

Using scientific notation, the number of significant digits that the product should have is:

B. 3.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3[/tex]

Multiplying the bases and adding the exponents, we have that:

[tex]5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^{7}[/tex]

42.8 has to be divided by 10 to assume for the base have only one digit, hence:

[tex]42.8 \times 10^{7} = 4.28 \times 10^6[/tex]

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

More can be learned about scientific notation at https://brainly.com/question/16394306

#SPJ1

Answer:

y=x+6

Step-by-step explanation:

The gradient of the line is change in y/ change in x

Thus meaning the gradient is 1. (defined as x)

The line crosses through the y-axis on the point (0,6)

So your euqation will be y = (1 - the gradient) x + (interception of y-axis) 6

Answer:

y = x + 6

Step-by-step explanation:

The general form of an equation of a line is

y= mx+b

y = slope ·x + y-intercept

Find the slope of the line, m:

-Pick any 2 points on the line, for example lets pick the points (0, 6) and (3, 10)

-Start at any of the points and go towards the other while note the path

start at (0, 6) and to go to (4, 10) we have to

go up (rise) 4 units  from 6 to 10 and

go to the right (run) 4 from 0 to 4.

Slope = m = rise/run = 4/4 = 1

m = 1

Find the y-intercept, b:

The y-intercept is where the line intersects the y-axis. By looking at the given graph we can see y-intercept is 6.

b = 6

The equation of our line is

y = x + 6

Six hundred residents of a city are polled to obtain information on voting intentions in an upcoming city election. The 600 residents in this study is an example of a sample.

Those people who make up a sample are taken from a broader population. Sampling is the process of deciding which group you will use to gather data for your study.

In order for a sample to be representative of the population we are interested in investigating, each participant must have an equal chance of being randomly chosen for the study.

For example, you could interview a sample of 100 students if you were examining the attitudes of students at your university.

Learn more about sample here:

https://brainly.com/question/11045407

#SPJ1

Answer:

25

Step-by-step explanation:

If youre going by 5's youd get 30 but then you gotta take away -5 so it comes out to 25

Answer:

25

Step-by-step explanation:

Answer:

Possibly Design and 3d printing

Step-by-step explanation:

3D printing and design requires precise measurements and angles. Maybe you can look into jobs with these requirements?

Hope this helped :)  

Answer:

Careers that involve math

Step-by-step explanation:

An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . The simplified expression of  (6 x 10⁻⁴)(6 x10⁻⁶) is 36 x10⁻¹⁰.

An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

(6 x 10⁻⁴)(6 x10⁻⁶) is the given expression

Now multiply 6 with 6 and   10⁻⁴ with 10⁻⁶

36 x 10⁻⁴x  10⁻⁶

We need to add the powers of same base.

36 x10⁻⁴⁻⁶

36 x10⁻¹⁰

Therefore the simplified expression of (6 x 10⁻⁴)(6 x 10⁻⁶) is 36 x10⁻¹⁰.

To learn more on Expression click:

https://brainly.com/question/14083225

#SPJ1

Answer:

Okay? whats the question

Step-by-step explanation: