Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. What is the equation of function g? g(x) =___ f(x)

Part(A),

The percentage of friends who named Chocolate Chip is 18%.

Part(B),

We cannot determine that the most popular ice cream flavour for the general population is Pistachio and Vanilla based solely on the student's findings.

A bar chart is a graphical representation of data that uses bars of varying heights or lengths to represent the values of a set of data. The bars can be horizontal or vertical, and they are usually spaced equally apart to represent the categories or groups being compared.

Part A:

Let's say we choose the Chocolate Chip flavour. From the bar graph, we can see that 18% of the surveyed friends named Chocolate Chip as their favourite flavour. Therefore, the percentage of friends who named Chocolate Chip is 18%.

Part B:

We cannot determine that the most popular ice cream flavour for the general population is Pistachio and Vanilla based solely on the student's findings. The survey only represents a small sample size of the student's friends, and may not accurately reflect the preferences of the entire population. It is possible that the most popular flavour for the general population is different from what was found in the survey.

To know more about bar charts follow

https://brainly.com/question/15507084

#SPJ1

The hours spent by Maya on homework is equal to sum of 1/3 hours and 6 hours.

Determine the sum of 1/3 and 6.

So Maya spend 6 1/3 hours on the homework.

Answer: Option C.

Answer:

aₙ = 75 * (-1/5)ⁿ⁻¹

Step-by-step explanation:

75, -15, 3, ..

75, 75*(-0.2), 75*(-0.2)*(-0.2)

aₙ = a₁ * rⁿ⁻¹       a₁ = 75     r = - 1/5 (-0.2)

Answer:

Step-by-step explanation:

8 2/5 * 18 1/3 * 1/2 = 77 square feet

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

Learn more about system of linear equations, click;

https://brainly.com/question/19549073

#SPJ1

Answer:

Mr. Pharm will earn $108.50 in two years, having deposited $1,500 into an account earning 3.5% simple interest.

Step-by-step explanation:

1550 * 3.5% * 2 = $108.50

The density of the unknown metal exists 8.9 g/mL.

The mass of an object divided by its volume is how dense it is. The gram per cubic centimeter (g/cm³) unit of density is frequently used. How much mass is present in a given area is referred to as density. Try to picture a drawer full of socks. Its density is particular. Consider that when you remove a sock, the drawer's density changes. This is due to the socks' shifting mass while the drawer's remaining constant volume.

The definition of density is the mass of a substance per unit volume. The degree to which matter is packed together is fundamentally measured by density. It is a specific physical quality of a specific object. Greek scientist Archimedes is credited with discovering the density principle.

The density (D) is equal to mass (m) divided by volume (V): D = m/V

To find the mass of the object:

m = 156 g - 105.5 g = 50.5 g

To find the volume of the volume:

V = 30.7 mL - 25 mL = 5.7 mL

The density is:

D = m/V = 50.5 g  / 5.7 mL = 8.9 g/mL

Therefore, the density exists 8.9 g/mL.

The complete question is:

A graduated cylinder was filled with water to the 25.0 mL mark and weighed. Its mass was 105.5g. An object made of an unknown metal was placed in the cylinder and completely submerged in the water. The water level rose to 30.7 mL. When reweighed, the cylinder, water and metal object had a total mass of 156.0g. Based on these measurement, what is the density of the unknown metal?

To learn more about density refer to:

https://brainly.com/question/1354972

#SPJ4

Answer:

the answer is D) 19

Step-by-step explanation:

5×3=15

4+15=19

The volume of aggregate that she needs to build the patio is 13.18 ft^3

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

If you want to learn more about volumes:

https://brainly.com/question/1972490

#SPJ1

investing $27,000 in an account paying 7.25% interest compounded quarterly.

What will Jamie's account balance be in 14 years?

Answer:

$74,495.30

Jamie's account balance will be $73,828.74 after 14 years.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, Principal = $27,000

         Rate of interest = 7.25% compounded quarterly

                                    = 0.0725/4 = 0.018125 per annum

         Time = 14 years or 56 quarters

Now, A = P(1+i)ⁿ

        A = 27000(1+0.018125)⁵⁶

        A = 27000 X 2.7343

        A = 73828.74

Thus, Jamie's account balance will be $73,828.74 after 14 years.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

#SPJ2

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

For similar questions on vertices

https://brainly.com/question/1217219

#SPJ8

The base protonation constant Kb of allantoin (C4H4N3O3NH2) is ×9.1210−6. The pH of a 1.1M solution of allantoin at 25°C is :

pH value = 1.15.

To the calculation of the pH value, we need to write the ionization equation first. Then using the ICE table and the information given by the problem we can set up the problem:

\(C_4H_4N_3O_3NH_2 + H_2O^{-} > C_4H_4N_3O_3NH_2^{+} + OH^{-}\)

I                   1.1 M                          Zero                             Zero              

C                   -X                            +X                                 +X

E                  1.1-X                           X                                   X

As next step, using the equilibrium expression for Kb we can replace the terms find in the ICE table and then solve for X, so:

     \(Kb= \frac{C_4H_4N_3O_3NH_2}{C_4H_4N_3O_3NH_2}\)

⇒ \(9.2x10^{-6} = \frac{[x][x]}{[1.1-x]}\)

⇒ \(9.2x10^{-6}-[1.1-x] = x^2\)

⇒ \(1.10x10^{-5}-9.2x10^{-6} - x^2 = 0\)

⇒ X = 0.003173

With the value of X we can find the pOH (lets remember that X is the concentration of OH-), so:

   \(pOH = -Log(0.00313)\)

⇒  \(pOH= 2.50\)

Finally, we can find the pH value with the equation:

   \(14= pH + pOH\)

⇒ 14 - 2.5 = pOH

⇒ pH = 11.5

The 1.1 M allantoin solution have a pH value of 11.5

Complete Question:

The base protonation constant Kb of allantoin (C4H4N3O3NH2) is ×9.1210−6. Calculate the pH of a 1.1M solution of allantoin at 25°C. Round your answer to 1 decimal pl.

Learn more about value:

https://brainly.com/question/30145972

#SPJ4

Answer:

60

Step-by-step explanation:

180 - 120 = 60

Answer:

Step-by-step explanation:

25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4

Correct choice is b.

Answer:

I think it is B.

Answer:

cherries picked by Noah =3kg

Mia picked = 1/2*3 = 1.5kg

Total cherries picked together = 3+1.5 = 4.5kg

Step-by-step explanation:

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators. ++++=4.5

Step-by-step explanation:

CORRECT THIS ANSWER MARK A BRAIN LESS

3x+7+4=44|-4

3x+7=40|-7

3x=33|÷3

x=11

Answer:

C. 7°F

Step-by-step explanation:

Answer:

If you have ownership of something it means that you are the owner; it belongs to you. ... The term does not only refer to people, but also to other entities. For example, the government is the owner of a state company. Also, a holding company owns its subsidiary businesses.

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

Learn more about sample on

https://brainly.com/question/24466382

#SPJ1

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

lcm is 30

Answer:it should be 371, but it says ur in college and I'm in 7th.....so maybe its done a different way? Anyway...I tried

Step-by-step explanation:

Answer:

If you meant \(2(5*5)+3*7\), then

Step-by-step explanation:

We use the order of operations, which state to use operations in this order:

Parentheses(apply the following steps to the things in the parentheses), Exponents, Multiplication and Division(from left to right), Addition and Subtraction(from left to right)

We then apply that to this expression, to get

\(2(5*5)+3*7\\2*25+3*7\\50+21\\71\)

The * stands for multiplication.

Answer:

Step-by-step explanation:

Fred does not shade any model

Edwards shades nine tenths : 0.9

Jeff shades shades seven tenths : 0.7

so add 0.9 + 0.7, you get 0.16 : sixteen hundredths .

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

Read more on difference of numbers:

https://brainly.com/question/17301989

#SPJ1