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The required ratio of the input value to the output value is 1:3. option D is correct.

The table has been shown with input and output data we have to determine the ratio of the input value to the output values.

Here,
1) for input 2 there is output 6
Ratio = input / output = 2 / 6 = 1 : 3
2) for input 3 there is output 9
Ratio = input / output = 3 / 9 = 1 : 3

2) for input 6 there is output 18.
Ratio = input / output = 6 / 18 = 1:3

Thus, the required ratio of the input value to the output value is 1:3. option D is correct.

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The given expression log₅32 is equivalent to the expression (D) log32/log5.

To find which expression is equivalent to log₅32:

Law of logarithms:

Given the log function, which is written as log₅32

Substitute as: log₅32 = log32/log5

Therefore, the given expression log₅32 is equivalent to the expression (D) log32/log5.

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Answer: $3.70

Step-by-step explanation:

30 divided by 8.10 equals 3.70

Answer:

x [tex]\leq[/tex]-1

Step-by-step explanation:

first distribute

24+28.8x-21.6[tex]\leq[/tex]-26.4

add like numbers

2.4+28.8x[tex]\leq[/tex]-26.4

move the constant to the right

28.8x[tex]\leq[/tex]-26.4-2.4

calculate

28.8x[tex]\leq[/tex]-28.8

divide both sides by 28.8

x[tex]\leq[/tex]-1

the answer is pyramid or cone

The area of the circle, using 3.14 to approx. The area of this circle is 615.44[tex]ft^{2}[/tex].

The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = [tex]\pi r^{2}[/tex], where r is the circle's radius, is the formula for calculating a circle's surface area.

The square unit—for instance, [tex]m^{2}, cm^{2}, in^{2}[/tex] etc.—is the unit of area. In square units, the area of a circle is equal to [tex]\pi r^{2}[/tex]or [tex]\frac{\pi d^{2} }{4}[/tex]where (Pi) = [tex]\frac{22}{7}[/tex] or 3.14. The ratio of a circle's circumference to its diameter is known as pi (π). This unique mathematical constant exists.

Area = [tex]\pi r^{2}[/tex]

3.14×14×14 = 615.44[tex]ft^{2}[/tex].

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UIF stands for Unemployment Insurance Fund.

Thus this is the full form of UIF.

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Answer:

perpendicular angle are=90

so there for: (4x-2)+(3x+8)=90

4x-2+3x+8=90

7x+6=90

7x=90-6

7x=84

so there for:x=12

Answer:

........................................

In order to determine exactly how many people bought each type of pie, one will have to multiply the percentage by 632.

It should be noted that this is a pie chart and the information shows the percentage for each group.

In this case, to determine exactly how many people bought each type of pie, one will have to multiply the percentage by 632.

For example, berry will be:

= 15.4% × 632

= 97

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The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

According to the statement

We have to find that the cost of the gas he used.

So, For this purpose, we know that the

A cost function may be a mathematical formula wont to wont to chart how production expenses will change at different output levels.

From the given information:

It costs Kobel $3.50 in tolls to drive to figure and back day after day, plus he uses 5 gallons of gas. It costs him a complete of $23.50 to drive to figure and back daily.

Then

Total money he spent = Toll cost + amount of gas she used

$23.50 = $3.50 + 5 gallons

Then

Cost of the 5 gallons = 23.50 - 3.50

Cost of the 5 gallons = 20

Then

cost of the 1 gallon gas = 20/5

cost of the 1 gallon gas = $4.

So, The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

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Answer:

7000

Step-by-step explanation:

Your answer is 7000.

The height of the ramp if the skateboard has a potential energy of -39.2 kg m² /s² = 2 m

Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .

Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.

Formula of potential energy :

U = mgh

where, U = gravitational energy

            m = mass of object

            g = gravitational acceleration

            h = vertical height  of object

In the question given,

g= -9.8m/s² , U = -39.2 kg m² /s²

as, U = mgh

   h = U / mg

  put the values in this equation

  h = -39.2 / 2 (-9.8 )

 h = 2

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The complete question is :

On Earth with a gravitational acceleration g , the potential energy stored in an object varies directly with its mass m and its vertical height h .

a. What is an equation that models the potential energy of a 2 -kg skateboard that is sliding down a ramp?

b. The acceleration due to gravity is g=-9.8m/s² . What is the height of the ramp if the skateboard has a potential energy of -39.2 kg m² /s² ?

8 + [tex]10^x[/tex] = 1008 => x = 3, by exponentiation.

Given: 8 +  [tex]10^x[/tex] = 1008

=>  [tex]10^x[/tex] = 1000

=>  [tex]10^x[/tex] = 10³

=> x = 3

Hence, 8 + [tex]10^x[/tex] = 1008 => x = 3, by exponentiation.

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The required number line representation is attached

To solve this question we need to know the concept of number line :

Number lines are a horizontal straight lines in which the integers are placed in equal intervals all this numbers in a sequence can be represented in a number line . this line extends infinitely in both sides.

the numbers on the number line increases as one move right and decreases on moving from right to left . A number line can be used to depict both positive and negative integers. Writing numbers on a number line facilitates number comparison. The numbers on the left of the number line are smaller than the numbers on the right.

A number line can also be used to carry out addition , subtraction , multiplication and division . We move right to add move left to subtract and skip count to multiply .

The required number line is attached in the picture below :  

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The function fg(x) seems to be the product of f and g, whereas the function fog(x) is the composition of f and g.

A function whose values are discovered by applying another function to an independent variable and then applying that second function to the result, and whose domain consists of those possible values for which the result yielded by the first function lies inside the domain of both the second.

A composite function is one that is dependent on another. When one function is swapped for another, a composite function is formed. For example, f(g(x)) is the composite function created when g(x) is replaced for x in f. (x). f(g(x)) can be translated as "f of g of x."

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Answer: 60%

Step-by-step explanation:

12/20=.6

.6 is 60%

Answer:

21

Step-by-step explanation:

Answer:

13.5x

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Cross multiply.

Answer: 13.5x

Step-by-step explanation: all that needs to happen is the numbers multiplied. after, put the x on the

Hans will run additional 9 miles to the 18 miles he has run to complete 27 miles in wants to run for the week.

If Hans is to run 27 miles this week and he has run 18 miles, the additional miles he has to run in the week is t. Meaning that t plus eighteen is equal to 27, which is expressed mathematically below

t + 18 = 27

To solve the equation above, use balancing method. To use balancing method, subtract 18 from both side of the equation.

t +18 -18 = 27-18

t + 0 = 27-8

t = 27 -18

t = 9

Therefore, Hans will run additional 9 miles to complete 27 miles for the week.

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Answer:FIRST ONE

Step-by-step explanation:

Answer:

Six hundred fifty eight and one hundred twenty nine thousandths

Answer:

113 explanation I just took the test

Answer: 113

Step-by-step explanation:

100 + 10 +5 -10 +8 = 113

Answer:

C I think good luck brother bye bye

The value of the expression when p =-3 and q =5 is -4

Algebraic expressions are defined as expressions made up of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations such as:

Given the expression;

p + (-q) -2p

Where:

Now, substitute the values of p as - 3 and q as -5 in the expression, we have:

(-3) + (-5) - 2(-3)

expand the bracket

-3 - 5 + 6

add the values first

-3 - 1

-4

Thus, the value of the expression when p =-3 and q =5 is -4

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Answer: (2x-7)(3x+4)

Step-by-step explanation:

There is a technique called the “Slide Method” that can make this easier to solve.

The first step is to slide the coefficient of the 1st term and multiply it to the last term; which becomes:

X^2-13x-28(6) or x^2-13x-168

Next, factor this equation normally. The two factors that go into this are -21 and 8, so we can set this up as: (x-21)(x+8)

After that, divide both sides by the 6 that you previously slid:

(X-21/6)(x+8/6)

Then, reduce the fractions:

(X-7/2)(x+4/3)
After this is the last step. Take the denominator of the fraction, and make it the coefficient of the x variable: (2x-7)(3x+4)

Checking our Work; we get: (6x^2+8x-21x-28)=(6x^2-13x-28)

So, we know that (2x-7)(3x+4) is correct.

Answer:

Letter D is the correct answer.

Step-by-step explanation:

In the graph, the first line is an increasing diagonal and it stops in 10, meaning that John travelled 10 miles in 10 minutes.

After that, there is a horizontal line that indicates how much time he spent at the restaurant.

Finally, the last diagonal shows the distance travelled (5 miles) and the time it took (10 minutes.)

had the same question a couple minutes ago

hope it helps you;)

Given - Sides of a triangle

Find - Value of x

Solution - The value of x is 3.

The sides of the right angled triangle are calculated by the Pythagoras theorem. As per the theorem,

Hypotenuse² = Base² + Perpendicular²

In the given triangle, Hypotenuse is (x+2), Perpendicular is 5 and Base is (x-3).

(x+2)² = 5² + (x-3)²

x² + 4x + 4 = 25 + x² - 6x + 9

On solving, the equation will be -

6x + 4x = 25 + 9 - 4

Performing addition and subtraction to find the value of x

10x = 30

x = 30/10

Performing division to find the value of x

x = 3

So, the value of x is 3.