What expression is an equivalent expression of 12x+10+4y

Answers

Answer 1

The expression that is an equivalent expression of 12x+10+4y is D 2(6x + 5 + 2y).

How to illustrate the expression?

In Mathematics, expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, the expression that is an equivalent expression of 12x+10+4y is 2(6x + 5 + 2y). The correct option is D.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Which expression is an equivalent expression of 12x + 10 + 4y?

A.) 2(6x + 2y + 6)

B.) 3(4x + y + 10)

C.) 2(6x + 4y + 8)

D.) 2(6x + 5 + 2y)


Related Questions

I need 1/8 turned into a percentage but rounded to the nearest whole number.

Answers

Answer: 12.5%

Explain:

There are two main ways to express a fraction as a percentage:

-Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.

-Convert the fraction to a decimal first, then multiply the answer by 100.

How much should you invest at 3% simple interest in order to earn $65 interest in 16 months?

Answers

Answer:

To earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67. The formula for calculating simple interest is I = P * R * T, where I is the interest earned, P is the principal amount invested, R is the interest rate, and T is the time in years. In this case, we are given that the interest rate is 3%, the time is 16 months, and the interest earned is $65, so we can plug these values into the formula to solve for the principal amount invested:I = P * R * T

$65 = P * 0.03 * (16/12)

$65 = P * 0.03 * (4/3)

$65 = P * 0.01

P = $2,166.67Therefore, to earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67.

g(n)-50-15n
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+

Answers

Answer:

-65

Step-by-step explanation:

Substitute: g (1) =_50-15

Calculate the sum or difference:

Answer=-65

Help solve systems of equations

Answers

Answer:

b!vch I am up b!vch I am up b!vch I am up

Evaluate b(-7), when b(c) = 2c³5c² - 6c - 13.

Answers

Answer:

168015

Step-by-step explanation:

b(c) = 2c³5c² - 6c - 13

b(7)=2(7)³5(7)²-6(7)-13

b(7)=2(343)5(7)²-6(7)-13

b(7)=(686) 5(49)-6(7)-13

b(7)=(686) (245)-6(7)-13

b(7)=(686) (245) -42-13

b(7)=168070-42-13

b(7)=168028-13

b(7)=168015

(Usually this is how you would solve it but because there was no sign between the 2c^35c^2 I got sort of confused so I just multiplied, if wrong I'm sorry..)

Answer:

[tex]b(-7)=-168041[/tex].

Step-by-step explanation:

1. Write the function.

[tex]b(c)=2c^{3} 5c^{2} -6c-13[/tex]

2. Substitute "c" by "-7" in the function.

[tex]b(-7)=2(-7)^{3} 5(-7)^{2} -6(-7)-13[/tex]

3. Calculate.

[tex]b(-7)=2(-343) 5(49) -(-42)-13\\ \\b(-7)=-168070 +42-13\\ \\b(-7)=-168041[/tex]

A sample of 200g of an isotope decays to another isotope according to the function A(t)= 200е⁻⁰⁰⁵⁴⁺ ,where t is the time in years
(a) How much of the initial sample will be left in the sample after 25 years?
(b) How long will it take the initial sample to decay to half of its original amount?
(a) After 25 years, about __g of the sample will be left.
(Round to the nearest hundredth as needed.)

Answers

After 25 years, about 52g of the sample will be left and the sample never reaches half of its original amount

How to determine the sample after 25 years

From the question, we have the following parameters that can be used in our computation:

A(t)= 200е⁻⁰⁰⁵⁴⁺

Also from the question, we have

The variable t represents the number of years

This means that

t = 25, in this case

So, we have

A(25)= 200е⁻⁰⁰⁵⁴ ˣ ²⁵

Evaluate the above equation

A(25)= 51.848052128

Approximate

A(25) = 52

This means that the remaining sample is 52 grams

When the sample decays to reach half the initial value

Here, we have

A(t) = 0.5 * 200

A(t) = 100

Substitute the known values in the above equation, so, we have the following representation

200е⁻⁰⁰⁵⁴⁺ = 100

Divide both sides by 100

е⁻⁰⁰⁵⁴⁺ = 0.5

Take the natural logarithm of both sides

0.054t = -0.69314718056

So, we have

t = -0.69314718056/0.054

Evaluate

t = -13

Time cannot be negative

This means that it never reaches half of its original amount

Read more about exponential functions at

https://brainly.com/question/11464095

#SPJ1

There are two right circular cylinders. The radius of the first cylinder is 3 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 15 centimeters, but its height is also 5 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder?

Answers

The ratio of the volume of the second cylinder to the volume of the first cylinder is 25.

To find the ratio of the volume of the second cylinder to the volume of the first cylinder, we need to calculate the volumes of both cylinders and then compare them.

The formula to calculate the volume of a right circular cylinder is given by V = πr^2h, where V represents the volume, r is the radius, and h is the height.

For the first cylinder:

Radius (r₁) = 3 centimeters

Height (h₁) = 5 centimeters

Volume of the first cylinder (V₁) = π * (3 cm)^2 * 5 cm

                             = 45π cm³

For the second cylinder:

Radius (r₂) = 15 centimeters

Height (h₂) = 5 centimeters

Volume of the second cylinder (V₂) = π * (15 cm)^2 * 5 cm

                              = 1125π cm³

To find the ratio of the volumes, we divide the volume of the second cylinder by the volume of the first cylinder:

Ratio = V₂ / V₁

     = (1125π cm³) / (45π cm³)

     = 25

Therefore, the ratio of the volume of the second cylinder to the volume of the first cylinder is 25.

For more such questions on volume, click on:

https://brainly.com/question/463363

#SPJ8

Suppose z varies directly with x and inversely with the square of y. If z = 12 when x what is z when x = 7 and y = 8?
what is z?

Answers

the initial statement here is

z

x

y

2

to convert to an equation multiply by k the constant

of variation

z

=

k

x

y

2

to find k use the given condition

z

=

18

when

x

=

6

and

y

=

2

z

=

k

x

y

2

k

=

y

2

z

x

=

4

×

18

6

=

12

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

z

=

12

x

y

2

2

2

−−−−−−−−−−−−−

when

x

=

8

and

y

=

9

z

=

12

×

8

81

=

32

27

An exponential function f(x)=ab^x passes through the points (0,10000) and (3,3430). What are the values of a and b ?
a=
b=

Answers

The values of a and b for the exponential function are given as follows:

a = 10000.b = 0.1143.

How to obtain the values of a and b for the exponential function?

The standard definition of an exponential is given as follows:

y = ab^x.

In which the meaning of the parameters a and b is given as follows:

a is the initial value of the function, meaning that when x = 0, y assumes a value of a.b is the rate of change of the exponential function, meaning that when x is increased by one, y is multiplied by b.

The function passes through the points (0,10000), hence the value of the parameter a is given as follows:

a = 10000.

The function also passes through the point (3,3430), hence the value of the parameter b is obtained as follows:

10000b³ = 3430

b = cubic root of (3430/10000)

b = (3430/10000)^1/3

b = 0.1143.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

HELP! 10 POINTS!!!!
Where are the residual values shown on a residual plot?
A) on the y-axis
B) on the x-axis
C) on the line of best fit
D) on the x and y-axis

Answers

The coordinate on which the residual values are shown on a residual plot is: A) on the y-axis.

What is a residual value?

A residual value can be defined as a difference between the measured (given or observed) value from a residual plot (scatter plot) and the predicted value from a residual plot (scatter plot).

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = given value - predicted value

In Mathematics, the independent variable (fitted values) are generally plotted on the x-axis of a residual plot (scatter plot) while the residual value is plotted on y-axis of a residual plot (scatter plot).

In conclusion, a line of best fit simply refers to a trend line on a residual plot (scatter plot).

Read more on residual value here: https://brainly.com/question/15942516

#SPJ1

PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
x= -2, x=7

P(x)=

Answers

A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14

What is a polynomial function?

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.

A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.

x= -2, x=7

Given,

P(x) = 0

This polynomial function has the roots,

x= -2, x=7

So,

(x+2)(x-7)

We have to multiply both of them we get,

P(x)=(x+2)(x-7)

0=x²-5x-14

x²-5x-14=0

Therefore, P(x)=x²-5x-14 is the polynomial function.

To know more about polynomial function, visit:

https://brainly.com/question/12976257

#SPJ1

Please help
Whats 9^2-10=

Answers

Answer: The correct answer would be 71.

step-by-step explanation:

9^2 - 10 =

Calculate the exponents: 9^2 : 81

Then subtract 81 by 10

81 - 10 = 71

which of the following inference tests is not appropriate for a comparison of two means in a causal comparative study?
a. The Mann-Whitney U test
b. ANOVA
c. Chi-Square
d. A t test for independent means

Answers

The Mann-Whitney U test is not appropriate for a comparison of two means in a causal comparative study.

What is Mann-Whitney U test?

To determine if two samples are likely to come from the same population, researchers employ the Mann Whitney U test, also known as the Mann Whitney Wilcoxon Test or the Wilcoxon Rank Sum Test (i.e., that the two populations have the same shape). When a continuous level variable is measured across all observations in two groups and we wish to test if the distribution of this variable differs between the two groups but we are unable to assume normality in both groups, we use the Mann-Whitney test.

Here,

Mann-Whitney test In a causal comparative investigation, comparing two means is not acceptable using the U test.

To know more about Mann-Whitney U test,

https://brainly.com/question/24341709

#SPJ4

Help Please!!

Line q has an equation of y+7=9(x+4). Line r is perpendicular to line q and passes through (9,–10). What is the equation of line r?

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

The equation of line r, in slope-intercept form, is: y = -1/9x - 9.

How to Write the Equation of a Line in Slope-intercept Form?

The equation that represents a line, in slope-intercept form, is expressed or written as:

y = mx + b, where the slope is m, and the y-intercept is b.

The slope of line q, with the equation y + 7 = 9(x + 4) is 9. The negative reciprocal of 9 is -1/9. This means line r that is perpendicular to line q and passes through (9, -10) has a slope, m = -1/9.

To write the equation of the line in slope-intercept form, first, substitute m = -1/9 and (a, b) = (9, -10) into y - b = m(x - a):

y - (-10) = -1/9(x - 9)

y + 10 = -1/9(x - 9)

Rewrite in slope-intercept form:

y + 10 = -1/9x + 1

y = -1/9x + 1 - 10

y = -1/9x - 9

Learn more about slope-intercept form on:

https://brainly.com/question/1884491

#SPJ1

In how many ways can the digit in the number 7,600,000 be arranged

Answers

Answer:Answer to Solved In how many ways can the digits in the number 7, ... Question: In how many ways can the digits in the number 7, 600,000 be arranged?

1 answer

·

Top answer:

Concept used : The number of permutations (arrang...

Step-by-step explanation:

13. Find (f . g)(x) if f(x)=7x³-5x²+42x-30 and g(x)=7x-5.
(f . g)(x)=49x⁴-269x²-150
(f . g)(x)=49x⁴+269x²+150
(f . g)(x)=49x⁴-70x³+319x²-420x+150
(f. g)(x)=49x⁴+70x³-319x²+420x-150

Answers

(f . g)(x) is multiplication of f(x) and g(x). So,

(f. g)(x) = [tex]49x^{4}-70x^{3}+319x^{2} -420x+150[/tex] . Option (c) is correct answer.

How to multiply two functions?

A new function that is the product of the original two functions is created when two independent functions are multiplied together.

To multiply two functions together, perform these steps:

Each term in the first function should be multiplied by each term in the second function.Combine related terms to produce the desired function.The highest-order term in the new function should come first.

In given question we have two functions

f(x) = 7x³-5x²+42x-30

g(x) = 7x - 5

we need to find (f.g)(x) that is nothing but multiplication of f(x) and g(x).

So multiplying both the functions, we get

(f.g)(x) = f(x). g(x)

=( 7x³-5x²+42x-30)*(7x - 5)

=(49[tex]x^{4}[/tex]-35x³-35x³+25x²+294x²-210x-210x+150)

= [tex]49x^{4}-70x^{3}+319x^{2} -420x+150[/tex]

So, option (c) is correct answer.

Learn more about multiplying functions here:

https://brainly.com/question/2754860

#SPJ1

What number can 441 be divided by?

-2
-3
-5
-4

Answers

Answer:

from the options given it seems that it can only be divided by 3 or –3 which will give you 147 or – 147

Step-by-step explanation:

i hope this helps

Answer:3/c

i am doing this for extra characters

For the polynomial below, what is the coefficient of the term with the power of
3?
x^3+1/3 x^4+6x+5
A. 5
B. 0
C. 6
D. 1

Answers

Answer: The coefficient of the term with the power of 3 is (D. 1)

Step-by-step explanation:

The power of 3 is x^3. When there's no number besides x, we can think of it as an imaginary 1. So, therefore, it's D-1.

Write a linear equation
representing a line passing
through points (3, 5) and (-8,
5).

Answers

Hello,

I hope you and your family are doing well!

The answer is y = 5 (See below for the explanation).

To find a linear equation representing a line passing through two points, you can use the slope-intercept form of the equation, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

To find the slope of the line, you can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two given points, we get:

m = (5 - 5) / (-8 - 3) = 0 / -11 = 0

Since the slope of the line is 0, the line is horizontal and passes through both points at the same y-value (5). The x-intercept (the point at which the line crosses the x-axis) is not relevant in this case.

Therefore, the linear equation representing this line is y = 5.

Happy Holiday & New Year!

Please give this answer 5 stars and brainliest if you find it helpful.

Best,

Answer:

y=5

Step-by-step explanation:

y=mx+b

if you put your two point on a graft, they are on same line for the y-intersept. So if that is true then your answer has to y=5

Which expression is equivalent to 200k¹5, if k + 0?
O A. 2k¹225
O B. 2k5 25
O c.
O D.
8k5/25
8kv/25

Answers

Answer:  Choice B

[tex]2k^5\sqrt[3]{25}[/tex]

================================================

Work Shown:

[tex]\sqrt[3]{200k^{15}}\\\\\sqrt[3]{8*25k^{5*3}}\\\\\sqrt[3]{8*25(k^5)^3}\\\\\sqrt[3]{8(k^5)^3*25}\\\\\sqrt[3]{8(k^5)^3}*\sqrt[3]{25}\\\\2k^5\sqrt[3]{25}[/tex]

------------------------

Explanation:

The goal is to factor the radicand in such a way that we pull out perfect cube factors.

Notice that 200 = 8*25 and 8 is a perfect cube (since 2^3 = 8). It is the largest perfect cube factor of 200.

We can rewrite the k^15 as k^(5*3) which is equivalent to (k^5)^3

Once these perfect cube factors are pulled out, they cancel with the cube root to get what you see above.

Brayden runs a farm stand that sells raspberries and grapes. Yesterday Brayden sold 44 pounds of raspberries and 43 pounds of grapes for a total revenue of $217. Today he sold 45 pounds of raspberries and 18 pounds of grapes for a total revenue of $144. Write a system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes. Define the variables that you use to write the system

Answers

Step-by-step explanation:

44r + 43g = 217

45r + 18g = 144

r = a pound of raspeberries

g = a pound of grapes

Calculate the distance between the points P=(-1, -1) and A=(2, 7) in the coordinate plane. Round your answer to the nearest hundredth.​

Answers

Using the distance formula, [tex]AP=\sqrt{(-1-2)^2+(-1-7)^2} \approx \boxed{8.54}[/tex]

HELP THANK YOU SO MUCH

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs5 rock CDs12 hip hop CDs, and 3 jazz CDs. What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

A. 3/5
B. 2/5
C. 12/30
D. 17/30

Answers

The probability of not pulling hip hop CDs is equal to 3/5. The correct option is (A).

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

The number of country, rock, hip hop, and jazz CDs are 10, 5, 12 and 3 respectively.

Then, the total number of CDs are 10 + 5 + 12 + 3 = 30

Now, the probability of not selecting hip hop is equal to the probability of selecting the remaining types of CDs which is given as,

P(Not hip hop CDs) = (10 + 5 + 3)/30    

                                 = 18/30

                                 = 3/5

Hence, the probability that the first CD that Kyle pulls from the box will not be hip hop is 3/5.

To know more about probability click on,

https://brainly.com/question/11234923

#SPJ1

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x = ____
y = ____Choose matching definition
a. (-3.5, 2.3)
b. (1.2, -4.7)
c. -2.6
5.2
d. (-4, -5)

Answers

The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 are (-2.6,5.2).

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.

If a point (x,y) divides the line segment joining the points A(x1,y1) and B (x2,y2) is in the ratio m:n, then

[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\[/tex]

Here,

m:n = 3:10

The endpoint of line AB are at: A(-4,8) and B(2,-4)

We substitute the given values to obtain:

x= 3*2+10*(-4)/3+10

x= -34/13

x= -2.6

and

y= 3*(-4)+10*(8)/3+10

y= 68/13

y= 5.2

To learn more about line segments visit: brainly.com/question/25727583

#SPJ4

What is the height of the flag pole?

Answers

the height of the flag pole should be 108 inches.

Factor 2x^4-5x^3+6x^2-15x completely over the set of integers

Answers

[tex]2x^4 - 5x^3 + 6x^2 - 15x \\ \\ =x(2x^3 - 5x^2 + 6x-15) \\ \\ =x(x^2(2x-5)+3(2x-5)) \\ \\ =\boxed{x(2x-5)(x^2+3)}[/tex]

Find the value of z.
108°
40°
z=[?]°

Answers

Answer:32

Step-by-step explanation:

Assuming this is a triangle, there are three sides.

All sides of a triangle must add up to 180 degrees

180-108-40 = 32

What is the area of the triangle?
7 cm
10 cm
Area = [?] cm²
Enter

Answers

Answer:

35 cm²

Step-by-step explanation:

Base of triangle = 10 cm

Height of triangle = 7 cm

Area of triangle = 1/2 x (base x height)

= 1/2 x (10 x 7)

= 1/2 x 70

= 35

So, area is 35 cm²

Select the function(s) that have a domain of (- infinity, positive infinity)
Exponential Function
Cubic Function
Quadratic Function
Reciprocal Function
Linear Function
Absolute Function
Logarithmic Function
Square Root Function
Cube Root Function
Constant Function

Answers

Step-by-step explanation:

Exponential Function, example y=e×;

Cubic Function, example y=x³;

Quadratic Function, example y=x²;

Linear Function, example y=x-1;

Absolute Function, example y=|x|;

Cube Root Function, example y=∛x;

Constant Function, example y=2.

help meeeeeeeeeee pleaseee

Answers

(a) 794g of the initial sample will be left in the sample after 25 years. (b) Time taken to decay to half of its original amount is 3.39 years.

Isotopes(200g) are atoms that have the same number of protons in their nucleus, but a different number of neutrons. This means that they have the same atomic number, but a different atomic mass. Because of this, isotopes have different physical and chemical properties. Isotopes can be stable, meaning that they do not undergo radioactive decay, or they can be unstable, meaning that they will undergo radioactive decay over time.

(a) Substituting 25 for t in the expression, we get:

[tex]A(25) = 200e^{0.0541 \times 25}[/tex]

         [tex]= 200e^{1.3525}[/tex]

Thus, after 25 years, there will be

[tex]200e^{1.3525} = 2003.97[/tex]

794 g of the initial sample left in the sample.

(b) We want to find t such that

[tex]A(t) = 200e^{0.0541}[/tex]                                          

       = 100.

Solving for t, we get:

[tex]= 200e^{0.0541} \times t=100[/tex]

Dividing both sides by 200 and applying the natural logarithm to both sides, we get:

0.0541 × t = ln(0.5)

Therefore,

[tex]t = \frac{ln(0.5)}{0.0541}[/tex]

  = 3.39 years.

To Learn More about Isotopes Decay follow link   : https://brainly.com/question/16355768

#SPJ1  

Other Questions
A research department wants to test the hypothesis that caffeine from organic coffee more safely stimulates mental alertness than caffeine from nonorganic coffee. Which of the following would most effectively provide the desired primary data?Experimentation, one form of primary research,can produce data suggesting cause and effect For the reaction, A(g)2B(g) , Kc=7.0 . A reaction mixture at equilibrium contains [A]=2.3M . What is the concentration of B in the reaction mixture?Express the molarity to two significant figures and include the appropriate units. Why are enzymes necessary for biological process Which artwork by duchamps created the greatest scandal in the armory show of 1913?. In the lady or the tiger, can people control their own fate or is it entirely up to chance? What would you have done if you were in the young mans position? Identify the interpersonal and decisional roles Mr. Hashim performed as the Campus Head Every time mary bakes a batch of brownies, she uses cup of chocolate. If she has cup(s) of chocolate remaining, how many batches of brownies can mary make? input your answer as a whole number. Add 900-200= 700 and then add 700 + 700 = Answer = There were people at the Constitutional Convention who were against slavery. What was more important to them than addressing slavery? A mall cube ha the volume hown. It ide length i 3. 5 in. Le than a econd, larger cube. What i the volume of the larger cube?Volume:85 in^3 Lesson 1.2.2Time of deathTemperature MeasurementsHow do you convert from Celsius to Fahrenheit? Convert each from Celsius to FahrenheitAnswer: 0 32 20 68 50 122How will your team make its water bath & what does its water bath represent? To how many is 37 equal? What does the hot dog in the 37 water bath represent?Answer: Answer: Reported voter turnout _________ as age __________a. increases; increaseb. increases; decreasesc. stabilizes; increasesd. stabilizes; decreasese. decreases; increases Suppose we look at a photograph of many galaxies. Assuming that all galaxies formed at the same time after the Big Bang, which galaxy appears to us as the youngest?A) the galaxy that is closest to usB) the galaxy that appears bluest to usC) the galaxy that appears largest to us D) the galaxy that is furthest from usE) All galaxies would appear to have the same age. Can someone helpMe write a argument about how federalism guards against tyranny? Has to be a least more than 5 sentences!! which type of social influence involves conformity to a group norm prompted by the belief that the group is competent and has accurate knowledge? The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.hurry plsBuckets 3 5 7Price (dollars) 28.50 47.50 66.50Determine the constant of proportionality. a high-carbohydrate diet: a.is necessarily fattening. b.causes ketosis. is protein-sparing. forces glucose production from protein. donna and marc have the same job in a button factory and earn the same pay. donna makes twice as many buttons a month as marc. according to equity theory, marc likely feels: The standard form of the equation of a parabola is y = -2x2 - 8x-13. What is the vertex form of the equation?O A. y = -2(x-2) - 5OB. y = -2(x + 2) - 5O C. y = -2(x + 2) -13OD. y = -2(x-2) - 13 Given the equation 5y = 225, solve for y.