Consider this function.
f(x) = 5x
How is function / transformed to create function g? Match each transformation of function with its description.
4
g(x)= 1/3(5)^x
g(x)=5^1/3x
g(x) = 5^3x
g(x) = 3(5)^3
horizontal stretch of a factor of 3

vertical stretch of a factor of 3

vertical compression of a factor of 1/3

horizontal compression of a factor of 1/3

This indicates that one solid plastic ball with a radius of one inch requires 4.19 cubic inches of plastic.

The volume of an object or a substance can be calculated using various formulas, depending on the shape and dimensions of the object or substance. For instance, the volume of a cube can be calculated by multiplying the length, width, and height of the cube. Similarly, the volume of a cylinder can be calculated by multiplying the area of the circular base by the height of the cylinder. Volume is an important concept in many fields, including physics, chemistry, engineering, and architecture. In physics, the volume of a material is important in understanding its density and mass. In chemistry, the volume of a gas is related to its pressure and temperature through the ideal gas law. In engineering and architecture, volume is important in designing and constructing buildings, bridges, and other structures.

Here,

The formula for the volume of a sphere is given by:

V = (4/3) * π * r³

where V is the volume of the sphere and r is the radius.

Substituting the given radius of 1 inch and the value of π as 3.14, we get:

V = (4/3) * 3.14 * 1³ = 4.19 cubic inches

This means that it takes 4.19 cubic inches of plastic to make one solid plastic ball with a radius of 1 inch.

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Answer:

I don't know what is it's answer

Answer:

x² + (y – 3)² = 36

x² + (y + 8)² = 36

Step-by-step explanation:

(x - h)² + (y - k)² = r²

Center on the y-axis means h = 0.

Diameter of 12 units means r = 6.

x² + (y – 3)² = 36       Yes

x² + (y – 5)² = 6         No

(x – 4)² + y² = 36       No

(x + 6)² + y² = 144      No

x² + (y + 8)² = 36       Yes

The value of x in the given equilateral triangle is 14.

An equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle.

Given is an equilateral triangle, one of its angle is given to be (2x+32)°,

We know that, the value of each angle of an equilateral triangle is 60°

Therefore,

(2x+32)° = 60°

2x = 28

x = 14

Hence, the value of x in the given equilateral triangle is 14.

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Since, the question is incomplete, the question is solved for the question attached.

Answer: 5 minutes(not sure)

Step-by-step explanation:

She first left her house and went to the shops which approximately says in the graph that she went there at 2 time elapsed(minutes) and then left a 5 when you take that away it gives u 3 minutes

So to find out how long it took her to come out of the bank she arrived at 7 time elapsed (minutes) and then left at 12, you do 12-7=5

Therefore i think the answer is 5 minutes

Answer:

Step-by-step explanation:

csc and sin are inverses of one another, therefore, c is the correct statement.

The solution is, the value is 17.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

from the diagram we get,

it is a right angled triangle.

now, we know, by Pythagorean theorem ,

15^2+ 8^2

=225+ 64

=289

=17^2

Hence, The solution is, the value is 17.

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The actual distance from Ferris to Butte is 10 miles shorter than the distance found by Wayne.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The actual distance is the hypotenuse of the right triangle, hence it is obtained as follows:

d² = 15² + 20²

d = sqrt(15² + 20²)

d = 25 miles.

The distance found by Wayne from the diagram is of 15 + 20 = 35 miles, then the difference is of:

35 - 25 = 10 miles.

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Answer: yes

Step-by-step explanation:

None of the points intercept eachother if we make a vertical line and there are no y-values with more than one x-value.

For the probability distribution of a discrete random variable x, the sum of the probabilities of all values of x must be: equal to 1. The Option C is correct.

The sum of the probabilities of all values of a discrete random variable x must be equal to 1 because, by definition, the probability distribution of a random variable represents the probabilities of all possible outcomes of an experiment, and the sum of the probabilities of all possible outcomes must be equal to 1.

In other words, the probability distribution of a discrete random variable specifies the likelihood of each possible value that the random variable can take on, and the total probability of all possible outcomes must add up to 1, since the outcome of the experiment must be one of the possible values of the random variable.

Mathematically, this can be expressed as:

∑P(x) = 1 where P(x) is the probability of the random variable x taking on a particular value. This equation ensures that the total probability of all possible outcomes is equal to 1, which is a fundamental principle of probability theory.

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To find the sale price of the magazine with a 20% off coupon, you can use the following expressions:

Below, you will learn how to solve the problem.

In this case, the cost of the magazine is $7.50, so the sale price would be:

The percentage represents a certain amount, expressed as a fraction of 100 equal parts.

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Answer:

Step-by-step explanation:

The sequence is in AP

a=-12, d= -4

Nth term is given by [tex]T_{n}=a+(n-1)d\\[/tex]

[tex]T_{n}=-12+(n-1)(-4) = -12-4n+4 = -4n-8[/tex]

[tex]T_{n}= -4n-8[/tex]

Answer: 60%

Step-by-step explanation:

In order to find the percentage, we need to find the sum of the espressos ordered.

57 + 38 = 95

95 will be our denominator, and since we are trying to find the percentage of the single-shot, our numerator is going to be 57 because that is how many sold.

57 / 95

Now we can divide 57 by 95 to get the percent of single shot espressos to get an answer of 60%

Answer:

here's your answer

Step-by-step explanation:

hope it will help you

Answer: 2.4

Step-by-step explanation: just use a calculator???

Answer:

2.4

Explanation:

There have been three main categories of operation on groups in the field of number theory:

In algebra, addition, subtraction, multiplication, and division are the four fundamental arithmetic procedures that represent algebraic operations on trigonometric functions.

Answer:

(B) C(t) = 396(1.029)^t.

Step-by-step explanation:

We can use the formula for exponential growth to find the function that models the population of Charlotte:

C(t) = C0 * r^t

where C0 is the initial population (in thousands), r is the annual growth rate, and t is the number of years after the initial population was recorded.

We are given that the population in Charlotte was 396,000 in 1990 and 872,000 in 2018. This means that the population grew by (872,000 / 396,000)^(1/28) per year on average (since there are 28 years between 1990 and 2018).

So the annual growth rate is approximately 1.029.

Therefore, the function that finds the population of Charlotte in thousands t years after 1990 is:

C(t) = 396 * 1.029^t

The solution for the given system of equations as required to be determined is such that; it has infinitely many solutions.

It follows from the task content that;

y = (2/3)x + 5 and -2x + 3y = 15.

Also, by substitution, we have that;

-2x + 3 ( (2/3)x + 5 ) = 15

-2x + 2x + 15 = 15

15 = 15.

Consequently; it follows that the system of equations given has infinitely many solutions as the equations are coinciding equations and form coinciding lines when graphed.

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On converting 173 pounds (lbs) to Kilogram (Kg) , we get that 173 lbs is equivalent to 78.46 Kg  .

One pound is defined as a unit of weight or mass which used in the Imperial and US Customary systems of measurement. It is defined as  0.4535 kilograms, which is the base unit of mass in the International System of Units (SI).

One pound (1 lb) is 0.4535 Kg ,

So , we can write : 173 lbs = 173 × 0.4535 Kg  ;

⇒ 173 lbs = 78.4555 Kg ≈ 78.46 Kg .

Therefore , 173 lbs is approximately equal to 78.46 Kilogram  .

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Answer:

2

Step-by-step explanation:

p/2-5

You can use PEMDAS to help:

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

So, first we have to substitute 14 for p to get:

14/2-5

Next, comes division before subtraction, so we can rewrite the equation as this:

(14/2)-5

7-5

=2

As a result, option B is the equation of the line parallel to the specified line and passing through the point (2, 2): y = 1/5x + 12/5.

An equation is a mathematical statement that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The two sides represent the same value, so any operation performed on one side must also be performed on the other side to maintain equality.

Here,

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Two lines are parallel if and only if they have the same slope.

The given line has a slope of 1/5, so any line that is parallel to it must also have a slope of 1/5.

We want to find the equation of a line that is parallel to the given line and passes through the point (-2, 2). We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. Substituting the values we have:

y - 2 = (1/5)(x - (-2))

y - 2 = (1/5)(x + 2)

Multiplying both sides by 5 to eliminate the fraction, we get:

5(y - 2) = x + 2

5y - 10 = x + 2

x = 5y - 12

This is the equation of the line that is parallel to the given line and passes through the point (-2, 2).

However, we can also rewrite the equation in slope-intercept form if we prefer. Solving for y in terms of x, we get:

x = 5y - 12

x + 12 = 5y

(1/5)(x + 12) = y

y = (1/5)x + 12/5

So, the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:

y = (1/5)x + 12/5

Therefore, the equation of the line that is parallel to the given line and passes through the point (−2, 2) is option B: y = 1/5x + 12/5.

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Answer:

(D.) [tex]5x^{5} -5x^{3} +4[/tex]

Step-by-step explanation:

Adding Polynomials:

To add both of these two polynomials together, all we need to do is add like terms. All of the other options are wrong, since we do not add the exponents.

[tex]5x^{5} -5x^{3} +4[/tex]

(f • g)(x) = f(g(x))

         = f(x-1)

         = 2(x-1)^2

Therefore, (f • g)(3) = 2(2)^2 = 8

Answer:

(f • g)(x) = 2(x-1)^2 and (f • g)(3) = 8.

Step-by-step explanation:

We have, to substitute g(x) into f(x) wherever we see x in f(x),to find (f • g)(x).

Which will give,

(f • g)(x) = f(g(x))

             = f(x-1)

             = 2(x-1)^2

We have to put x = 3 to evaluate this expression,

(f • g)(3) = 2(3-1)^2

             = 2(2)^2

             = 8

Therefore,

(f • g)(x) = 2(x-1)^2 and (f • g)(3) = 8.

The  mass converted value in the standard form using kilograms to pounds is given by ( 94.7988 ) pounds.

Standard formula which relates these two given quantities of mass are written as :

One kilogram is equivalent 2.205 pounds.

Now, substitutes the standard relation between the kilograms and the pounds to calculate the required value,

1 kilogram = 2.205 pounds

⇒ 43 kilograms = ( 43 ) × ( 2.205 ) pounds

⇒ 43 kilograms = ( 94.7988 ) pounds

Therefore, the converted value of 43 kilograms into the pounds is written as  ( 94.7988 ) pounds.

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Answer:

Step-by-step explanation:

A balanced chemical equation calculator is an online tool that assists in the balancing of chemical equations by automatically computing the coefficients for each reactant and product to verify that the equation obeys the rule of mass conservation.

According to the law of conservation of mass, matter cannot be generated or destroyed in a chemical process, just rearranged.

A balanced chemical equation includes the chemical formulae for the reactants and products of a chemical reaction, as well as the factors that balance the amount of atoms of each element on both sides of the equation. Balancing a chemical equation is a necessary step in addressing many sorts of chemistry issues, such as forecasting the quantity of product generated or reactant required in a reaction.

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Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

What is the proportion?

A proportion is a statement that two ratios are equal. Ratios compare two quantities by expressing the relationship between them in terms of their sizes or amounts. A proportion can be written in the form of a fraction or a ratio, and it expresses the equivalence of two ratios.

We can solve this problem using proportionality. We know that Christopher earned $404.80 for working 22 hours, which means his hourly wage can be calculated as:

hourly wage = total earnings / total hours worked = $404.80 / 22 hours = $18.40 per hour

Now we can use this hourly wage to find the number of hours Christopher needs to work to earn $368.00. Let's assume he needs to work x hours to earn $368.00. We can set up a proportion based on the hourly wage:

$18.40 per hour = $368.00 / x hours

To solve for x, we can cross-multiply:

$18.40 per hour * x hours = $368.00

Simplifying the left-hand side:

x = $368.00 / $18.40 per hour

x = 20 hours

Hence, Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

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The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.

Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.

This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.

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The correct answer is C, 3

The linear equation for the photocopier will be y = $20C + $0.02n.

In a linear equation, a first-degree polynomial is defined as the sum of a group of terms, where each term is the product of a constant and the first power of a variable. An equation with n variables is said to be linear if it has the formula a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant. If there are multiple variables, some of the variables in the equation may be linear while others may not be.

Given,

Jamie rents a photocopier from a company that charges $20 each month

$0.02 for each copy

monthly charge = C

number of copies = n

So, the linear equation will be y = $20C + $0.02n

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Answer:

Step-by-step explanation:

-2-6-20

The equations are defined as follows:

The two trees will have the same height after four years.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are defined as follows:

Hence the equations are given as follows:

The trees will have the same height when:

A(t) = B(t)

Hence:

4t + 38 = 8t + 22

4t = 16

t = 16/4

t = 4 years.

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