If you exert a force of 10.0 n to lift a box a distance of 0.75 m how much work do you do

A. 0.075 J

B. 7.5 J

C. 10.75 J

D. 75 J

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

[tex]f (x) = \frac {x + 1} {x ^ 2-6x + 8}[/tex]

The given function is not defined when the denominator is equal to zero. That is to say:

[tex]x ^ 2-6x + 8 = 0[/tex]

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

[tex]-4-2 = -6\\-4 * -2 = 8[/tex]

Thus, the factored polynomial is:

[tex](x-4) (x-2) = 0[/tex]

That is to say:

[tex]x_ {1} = 4\\x_ {2} = 2[/tex]

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

Answer:

is d on edge

Answer:

(f * g)(x) = 4x^3 - x^2

[tex]4x^{3}-x^{2}[/tex]

Step-by-step explanation:

We have been given the following functions;

f(x) = 4x - 1

g(x) = x^2

We are required to determine;

(f * g)(x)

This simply means we shall be finding the product of the two functions given;

(f * g)(x) =  f(x)*g(x)

(f * g)(x) =  x^2 * (4x - 1 )

we open the brackets by multiplying each term by x^2

(f * g)(x) = x^2(4x) + x^2(-1)

(f * g)(x) = 4x^3 - x^2

Answer:

5/4

Step-by-step explanation:

Use the slope formula

Answer:

9.43398

Step-by-step explanation:

The formula is square root of (x2-x1)^2 + (y2-y1)^2.  

So if you plug in the equation, it is 9.43398.

Answer:

150

Step-by-step explanation:

bc is along a straight line with section 4 straight lines are 180° if bc is 30° then 180°-30°=150°

Answer:

The measure of ∠4 is 150°

Step-by-step explanation:

Given the figure in which BD is the diameter of circle and

m∠1=100°

m(arc BC)=∠3=30°

we have to find the measure of ∠4.

As BD is a straight line as BD is diameter therefore

∠4 and ∠3 forms a linear pair

⇒ ∠4 and ∠3 are supplementary i.e these angles adds up to 180°

∠4 + ∠3 = 180°

∠4+30°=180°

∠4=180°-30°=150°

Hence, the measure of ∠4 is 150°

Try this option:

1.

[tex]\frac{10-4}{(-3)*(-5)+8*2}=6[/tex]

2.

[tex]\frac{8+2-4}{\frac{10}{-5}-(-3)} =6[/tex]

Answer:

the answer is the second one 45

[tex]\bf \begin{array}{ccll} workers&bricks\\ \cline{1-2} 14&36000\\ x&54000 \end{array}\implies \cfrac{14}{x}=\cfrac{36000}{54000}\implies \implies \cfrac{14}{x}=\cfrac{2}{3} \\\\\\ 42=2x\implies \cfrac{42}{2}=x\implies 21=x[/tex]

Answer:

21 workers would be your answer.

Answer:

144

Step-by-step explanation:

you're going 40m per hour

so in 3.6 hours,

the equation is 40×3.6=144 miles

Answer:

144

Step-by-step explanation:

40 x 3.6 = 144

Answer: 537-254=283

Hope this helped!

Answer:

The answer is 283.

Step-by-step explanation:

Subtract the total of 537, by the number of people playing instruments, 254.

537 - 254 = 283

283 is the number of people without instruments.

Hope this helps! :)

Answer:

9,000

Step-by-step explanation:

multiply the mass value by 1000

Answer:

9000 grams!!!

I hope this helped! :)

Answer: You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Step-by-step explanation:

The equation of the line must be 2x - 1

The equation of the line that represents an equation of a line with a slope of 2 and a point on the line of (1, 2) can be written in the form:

[tex]y-y_0=m(x-x_0)[/tex]

m is the slope of the line

(x0, y0) is the point on the line

Substitute the given parameters into the formula to have:

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

Hence the equation of the line must be y= 2x - 1

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Answer:

The number is 6

Step-by-step explanation:

We let the number be x. If we subtract -2 from x we obtain the following result;

x - (-2)

This can be simplified to yield the following result;

x - (-2) = x + 2

we use the rule that negative multiplied by negative yields a positive sign.

We are further informed that the result of the above operation is 8, therefore;

x + 2 = 8

Solving for x yields;

x = 8 -2

x = 6

the number that we are looking for is 6.

The question asks us to find the number that results in 8 when -2 is subtracted from it. To solve this, we can set up an equation. Let x be the number we are looking for:

x - (-2) = 8

We know that in subtraction, we change the sign of the subtracted number and then follow the addition rules. This means our equation becomes:

x + 2 = 8

Now we subtract 2 from both sides to find the value of x:

x = 8 - 2

x = 6

Thus, the number that we are looking for is 6.

The answer is 19/50 or 38%.

Hope this helps!

Answer:

The probability that a student buys a drink is 0.47.

Step-by-step explanation:

Given : At a high school movie night, the refreshment stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 62 bout popcorn and 47 bought a drink. 38 students bought both popcorn and a drink.

To find : What is the probability that a student buys a drink?          

Solution :

Total number of students are T=100 who came to the movie.

Student who bought popcorn = 62

Student who bought drink = 47

Students who bought both popcorn and a drink = 38

We have to find the probability that a student buys a drink.

Favorable outcome F=47                      

Probability is [tex]P=\frac{F}{T}[/tex]

[tex]P=\frac{47}{100}[/tex]    

[tex]P=0.47[/tex]    

Therefore, The probability that a student buys a drink is 0.47.

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6[tex]x^{4}[/tex] - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )

= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term

= (6x² - 5)(x² + 2)

Answer:

(x^2 + 2)(6x^2 – 5)

Step-by-step explanation:

6x^4 – 5x^2 + 12x^2 – 10

=(6x^4 – 5x^2) + (12x^2 – 10)

=x^2 (6x^2 – 5) + 2(6x^2 – 5)

=(x^2 + 2)(6x^2 – 5)

Answer

(x^2 + 2) and (6x^2 – 5) are factors of the expression 6x^4 – 5x^2 + 12x^2 – 10

It’s going to be b which is positive 5 and negative 3

For this case we have a function of the form [tex]y = f (x)[/tex], where:

[tex]f (x) = \frac {5 + x} {6 + 3x}[/tex]

We must evaluate the function at[tex]x = a-1[/tex]

So:

[tex]g (a-1) = \frac {5+ (a-1)} {6 + 3 (a-1)}\\g (a-1) = \frac {5 + a-1} {6 + 3a-3}\\g (a-1) = \frac {4 + a} {3 + 3a}[/tex]

Thus, the value of the function is:

[tex]\frac {4 + a} {3 + 3a}[/tex]

Answer:

[tex]g (a-1) = \frac {4 + a} {3 + 3a}[/tex]

Answer:

432ft²

Step-by-step explanation:

The dimensions for one wall= 12' by 9'

Area of the wall is given by = width × height

Given width of room = 12' and height of wall =9 feet

Area for one wall= 12×9=108ft²

Area for four walls= 108 × 4=432ft²

Answer:

They will cover 432 feet²

Step-by-step explanation:

* Lets study the information in the problem

- The room has floor with dimensions 12 feet by 12 feet

- The height of the room is 9 feet

- The room has floor and ceiling with same dimensions

- The room has four walls with dimensions 12 feet and 9 feet

- The need to cover the 4 walls

- Each wall shaped a rectangle with base 12 feet and height 9 feet

- The area of the rectangle = base × height

* Now lets solve the problem

∵ The base of the wall = 12 feet  

∵ The height of the wall = 9 feet

∵ The area of the wall = base × height

∴ The area of one wall = 12 × 9 = 109 feet²

- The room has four identical walls

∴ The area of the 4 walls = 4 × 108 = 432 feet²

* They will cover 432 feet²

- The attached figure for more understand

Answer:

A

Step-by-step explanation:

because youre doing more bushels its adding and youd be solving for d

ANSWER

[tex]x = 5 {y}^{2} + 10[/tex]

EXPLANATION

The given equation is :

[tex]y = 5 {x}^{2} + 10[/tex]

To find the inverse of this function, we interchange x and y to obtain:

[tex]x= 5 {y}^{2} + 10[/tex]

We simplify this function to solve for y.

Therefore the equation that needs to be simplified to find the inverse of the given function is

[tex]x = 5 {y}^{2} + 10[/tex]

The correct choice is is the first option.

Answer: x = 5y2 + 10

Step-by-step explanation: A is the correct answer on the Quiz!

Answer:700in (squared)

Step-by-step explanation:

Answer:

700in^2

Step-by-step explanation:

The side facing us: 10*15=150. There are 2 of those sides, so 150*2=300

Right and left: 8*10*2=160

Top and bottom: 15*8*2=240

300+160+240=700

Answer:

x = sugar cookies dough

y = chocolate chips cookies

13x + 6y = 252

8x + 12y = 288

x = 12, y = 16

Step-by-step explanation:

x = sugar cookies dough

y = chocolate chips cookies

Equation

13x + 6y = 252 ------------ Equation 1

8x + 12y = 288 ------------ Equation 2

Equation 1 x 2

26x + 12y = 504 ------------ Equation 3

Equation 3 - Equation 2

18x = 216

x = 12

Sub x = 12 into Equation 1

13 (12) + 6y = 252

156 + 6y = 252

6y = 96

y = 16

The cost of one package of sugar cookie dough is $12 and one package of chocolate chip cookie dough is $16 .

Equation is what relates an unknown variables with other known variables by an equal sign.

It is asked to find

cost of each of one package of sugar cookie dough

one package of chocolate chip cookie dough.

Let the price of sugar cookies dough packet be $x

Let the price of  chocolate chips cookies packet be $y

Then from the given data

13x + 6y = 252

8x + 12y = 288

On solving the equations by elimination method

18x = 216

x = 12

On substituting x = 12

13 (12) + 6y = 252

156 + 6y = 252

6y = 96

y = 16

Therefore the cost of one package of sugar cookie dough is $12 and one package of chocolate chip cookie dough is $16 .

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Answer:

[tex]h(-9)=-\frac{2}{33}[/tex]

Step-by-step explanation:

The given expression is [tex]h(r)=\frac{2}{3r-6}[/tex]

We want to find the value of h(-9).

We substitute r=-9 to obtain:

[tex]h(-9)=\frac{2}{3(-9)-6}[/tex]

We multiply out to obtain:

[tex]h(-9)=\frac{2}{-27-6}[/tex]

We simplify the denominator to obtain:

[tex]h(-9)=\frac{2}{-33}[/tex]

This is the same as:

[tex]h(-9)=-\frac{2}{33}[/tex]

The value of h(-9) is 0. Function substitution is a mathematical technique that involves replacing a variable with an expression or function, simplifying calculations and solving equations by making them more manageable.

To find h(-9), you simply substitute -9 for r in the function h(r):

h(-9) = (2/3) * (-9) - 6

Now, calculate it step by step:

h(-9) = (-18/3) - 6

Since -18/3 is -6, the equation simplifies to:

h(-9) = -6 - 6

Now, add -6 and -6:

h(-9) = -12

So, the value of h(-9) is -12.

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Answer:

C) 24

Step-by-step explanation:

1. Since the perimeter of a triangle is the sum of its three sides, you can write the following expression, solve for x and get the value of each side.

[tex]2x+(2x+2)+(2x+4)=24\\2x+2x+2+2x+4=24\\6x+2+4=24\\6x+6=24\\6x=24-6\\6x=18\\x=\frac{18}{6}\\x=3[/tex]

2. So, replacing the value of x, you can calculate the values of each side of the triangle:

First side:

[tex]2x=2(3)=6[/tex]

Second side:

[tex](2x+2)=(2(3)+2)=6+2=8[/tex]

Third side:

[tex](2x+4)=(2(3)+4)=6+4=10[/tex]

As the larger side is the third one, it is the hypotenuse. So, the base and the  height.

3. The formula to find the area of the right triangle is given by the expression:

[tex]A=\frac{b*h}{2}[/tex]

Where b is the base and h is the height of the triangle, so replacing the values we found, we have the following:

[tex]A=\frac{8*6}{2}[/tex]

[tex]A=\frac{48}{2}[/tex]

[tex]A=24[/tex]

Therefore the answer is C) 24

10^6/10^-3 = 10^6-(-3) = 10^6+3 =

10^9

Answer:

[tex]One\: Billion[/tex]

Step-by-step explanation:

According to the Quotient-to-Power Exponential Rule, whenever you divide similar bases, you keep the base and subtract the exponents:

[tex]1000000000 = {10}^{9} = \frac{{10}^{6}}{{10}^{-3}}[/tex]

I am joyous to assist you anytime.

Answer:

he received about 750,000 letters a month.

Step-by-step explanation:

multiply the letters received per day=25,000

by the number of days in the month=30

so: 25,000 × 30= about 750,000 letters

Answer:

5

Step-by-step explanation:

4 - 1 = 3

3 + 2 = 5

Hope this helps :)

Have a great day !

5INGH

Hi, hope you’re having a good day!

You have to follow PEMDAS (in US) which is Parentheses, Exponent, Multiplication or Division (left to right) Addition or Subtraction (left to right)

4-1=3

3+2=5

So, the answer is 5!

Hope this helped, thanks for taking your time to read this! ❤️❤️

Answer:

The product of 7 and t and 7 multiplied by t

Step-by-step explanation:

Answer:

10/3 hours

Step-by-step explanation:

12x=15x-10

12x-15x=15x-10-15x

-3x=-10

-3x/-3=-10/-3

x=10/3

Answer: Sally will catch up with Jane after 50 minutes.

Step-by-step explanation:

Since we have given that

Speed of Jane of biking = 12 mph

After 10 minutes,

Speed of Sally of biking = 15 mph

Let the distance be 'x'.

According to question, our required equation becomes,

[tex]\dfrac{x}{12}-\dfrac{x}{15}=\dfrac{10}{60}\\\\\dfrac{5x-4x}{60}=\dfrac{1}{6}\\\\\dfrac{1x}{60}=\dfrac{1}{6}\\\\x=10\ miles[/tex]

Thus, total distance would be 10 miles.

So, the time taken by Sally to catch up with Jane is given by

[tex]\dfrac{10}{12}=\dfrac{5}{6}\times 60=50\ minutes[/tex]

Hence, Sally will catch up with Jane after 50 minutes.

The domain of the given function is:

                  [tex]x\geq 5[/tex] i.e. [5,∞)

Domain of a function--

The domain of a function is the set of all the possible values of x for which the function is defined.

That is it is the collection of all the points except the excluded values of the function.

The function f(x) is a square root function which is given by:

          [tex]f(x)=2\sqrt{x-5}[/tex]

We know that the domain of the function depends on the domain of the square root quantity.

We know that: a square root function is well defined when the quantity under the square root is non-negative

i.e.

[tex]x-5\geq 0\\\\i.e.\\\\x\geq 5[/tex]

Answer:

A.

Step-by-step explanation:

four terms are needed. 1-4

so that eliminates bottom 2 choices

Answer:

The correct option is A) [tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex].

Step-by-step explanation:

Consider the provided series.

[tex]\sum_{n=1}^{4}(3n+7)[/tex]

Substitute the value of n = 1,2,3 and 4 respectively.

[tex](3\cdot 1+7)+(3\cdot 2+7)+(3\cdot 3+7)+(3\cdot 4+7)[/tex]

Which can be written as:

[tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex]

Therefore, the correct option is A) [tex](7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)[/tex].