Dean is on in his car and was going 10 m/s but sped up to 100 m/s in 5 seconds. Find his acceleration

The type of pay which is modeled in the image attached below is: D) piece rate.

Money or something paid for a purpose and especially as a salary or wage

The types of pay.

In Mathematics, there are four 5) different types of pay and these include:

The different types of compensation include:

Salary.

Hourly Wages.

Sales Commission.

Tips.

Stock Options.

Bonuses.

Incentive Pay.

Other Variable Pay.

Salary

Commission

Bonuses

Piece rate

Method of wage payment that remunerates the employees on the basis of quantity they produced is known as piece rate.

Plucking tea

The number of tee-shirts produced.

Pruning fruit trees

Sorting second-hand clothes (garments)

Hence the graph of a piece rate model is characterized by a straight line with the slope upwards as represented in the image attached.

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Answer:

-2/5

Step-by-step explanation:

m = (10 - 8)/(31 - 36) = 2/(-5) = -2/5

Answer:

7y-20

Step-by-step explanation:

-3y-12+8y-8

7y-20

Answer:

5y - 20

Step-by-step explanation:

 Remove the parenthesis by multiplying each term of (y+ 4) by (-3) and  multiplying each term of (2y - 2) by 4

 -3(y + 4) + 4(2y - 2) = (-3)*y + (-3)*4 + 4*2y - 2*4

                                = -3y - 12 + 8y - 8

                               = -3y + 8y  -12 - 8

Combine like terms (-3y & 8y) and constants (-12 & -8).

                               = 5y - 20

The smallest number of kilometers that each must run is 6 kilometers.

From the information, Jim runs 6 kilometers at a time while Maureen prefers to run in blocks of 3 kilometers and at the end of the month, they realize that they have run the same total number of kilometers.

It should be noted that the question simony had to do with finding the least common multiple. This will be:

Multiple of 3 = 3, 6, 9, 12

Multiple of 6 = 6, 12

The least common multiple is 6.

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In the given recipe, 1/3 cup of sugar is  needed for 1 cup of flour.

What do you mean by recipe?

A recipe is a set of instructions for preparing a dish or dessert, such as your mother's chocolate chip cookie recipe, which has won numerous awards.

The phrase "recipe" is most frequently used while discussing cookery. It covers both the steps to prepare it as well as a list of the ingredients you'll need. Recipes can be found in cookbooks, newspapers, periodicals, websites, publications, and even passed down via families. A recipe isn't just for cooking; it may also be a formula: the formula for success is a combination of diligence, timing, and a little luck.

As given in the question, In the recipe

For every cup of sugar, 3 cups of flour is needed. we can write it as:

1 cup of sugar = 3 cups of flour

we need to find how many cups of sugar needed for 1 cup of flour.

So, dividing the above equation with 3.

1/3 cups of sugar = 1 cups of flour.

Therefore, In the given recipe, 1/3 cups of sugar is required for 1 cup of flour.

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Answer:

1.92x5=9.6 pounds everyday.

Step-by-step explanation:

It takes a time of 33 mi 33 sec for the two when they work together

Let x be the overall quantity of papers that must be delivered.

Candy can deliver x/50 papers in a minute.

Tim can deliver x/100 papers in a minute.

Tim and Candy took their time gathering all the papers together =x/ (x/50 +x/100)

= x/ (3x/ 100)

=100/ 3 minutes

=33 minutes 33 seconds

When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.

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Answer:

Step-by-step explanation:

It takes a time of 33 min 33 sec.

Let x be the overall quantity of papers that must be delivered.

Candy can deliver x/50 papers in a minute. Tim can deliver x/100 papers in a minute. Tim and Candy took their time gathering all the papers together =x/ (x/50+x/100) = x/(3x/ 100) =100/ 3 minutes =33 minutes 33 seconds

That is When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.

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Step-by-step explanation:

hope it helps you

thank you

Graph of two linear functions y=2x+7 and y=-x+4 will intersect at (1,5)

A linear function produces a straight line in the algebraic coordinate plane. It often takes the form of a polynomial function with a maximum degree of 1 or 0.

Calculus and linear algebra are also used to express the linear functions.

The primary distinction can be found in the function notation.

An ordered pair stated in function notation must be understood.

Below is a data table for two distinct linear functions with the identical x values for both functions.

x | y=2x+7 y=-x+4 -3 | 2(-3)+7=-6+7=1| -(-3)+4=3+4=7 -2 | 2(-2)+7=-4+7=3|-(-2)+4=2+4=6 -1 | 2(-1)+7=-2+7=5|-(-1)+4=1+4=5 0 | 2(0)+7=0+7=7 |-(0)+4=0+4=4 1 | 2(1)+7=2+7+9 |-(1)+4=-1+4=3 2 | 2(2)+7=4+7=11|-(2)+4=-2+4=2 3 | 2(3)+7=6+7=13|-(3)+4=-3+4=1

The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.

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The equation of the line perpendicular to the given line will be equal to 5y = x - 3.

A line may be defined as a straight figure which is drawn and has no end points. The equation of line in slope intercept form may be written as y = mx + c where m is the slope and c is the y intercept. The equation of line passing through a point (x₁, y₂) will be given as (y - y₁) = m(x - x₁). The slope of line perpendicular to a line having slope m is given by -1/m. The equation of line in the question is y = -5x + 1. The slope of the line is -5. The slope of line perpendicular to this line is 1/5. Equation of line passing through (2, -1) and slope 1/5 is given by

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

5y + 1 = x -2

5y = x - 3 which is the required equation.

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The difference between the areas of the posters is 56 in².

There are different quadrilaterals, for example: square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  in a square, all angles are 90° and all sides present the same value.

The area of a square is given by: A= a², where  a=the length of the side.

         A=(13 in)²

         A= 169 in²

         A=(15 in)²

         A= 225 in²

Therefore, the difference in square inches between the area of Latrice's poster and the area of Nura's poster is 225 - 169=56 in²

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Answer: y=3/4x-4.5

Step-by-step explanation: Looking at the two points on the line, it goes up 3 times and right 4 times, making it 3/4x. To find the y-intercept, you look where the line intersects the y-axis, and it intersects at y=-4.5.

Answer:

f(x) = 1/7 * (x + 7)^2 - 2

axis of symmetry: x = -7

vertex: (-7 | -2)

Step-by-step explanation:

f(x) = 1/7 * (x^2 + 14x + 35)

f(x) = 1/7 * (x^2 + 14x) + 5

f(x) = 1/7 * (x^2 + 14x + 7^2 - 7^2) + 5

f(x) = 1/7 * (x^2 + 14x + 7^2 - 49) + 5

f(x) = 1/7 * (x^2 + 14x + 7^2) + 5 - 7

f(x) = 1/7 * (x + 7)^2 + 5 - 7

f(x) = 1/7 * (x + 7)^2 - 2

The cost of the jalapeno poppers was $9.24 if each friend paid $9.73.

The cost of the jalapeno poppers can be determined by using multiplication followed by subtraction.

First, we determine the total amount paid by the three friends;

If each friend paid $9.73, then;

Total amount = 9.73 × 3

Total amount = $29.19

Now to find the cost of jalapeno poppers, we subtract the cost of nachos from the total amount paid by the three friends;

cost of jalapeno poppers = total amount - cost of nachos

cost of jalapeno poppers = 29.19 - 19.95

cost of jalapeno poppers = $9.24

Therefore, the cost of jalapeno poppers is calculated to be $9.24.

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The rule for the function g(x) is g(x) = x - 5 when f(x) = 5 and vertical down to 5 units.

Functions:

Function refers the relationship from a set X to a set Y assigns to each element of X exactly one element of Y

Given,

Let g(x) indicated the transformation of f(x)

Here we need to write the rule for g(x) when f(x) = x, and vertical translation down 5 units.

Here we have the function f(x) = x.

Considering the normal graph, we know that, the graph has four parts.

And each part refers difference sign. That is,

Horizontal left indicates the positive where as the horizontal right refers the negative for x axis.

Similarly, vertical up refers the positive and the vertical down represents the negative.

Here we have the vertical down translation of 5 units which refers the negative 5.

So, the rule of g(x) = x - 5.

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Answer:

I'm thinking it's 22, but I could be wrong.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Supposing:

Coloured marbles = x

Glass marbles = y

According to Question

x = 3y

As,

x + y = 60

3y + y = 60 (putting value of x = 3y)

4y = 60

y = 60/4

y = 15

Hence, Leo has 15 Clear-glass marbles

Four conditions of congruency are: SSS, ASA, SAS, RHS

Using SSS congruency,

Side: PS = PQ (by the rule, all sides of rhombus are equal)

Side: ST = TQ (by the rule, diagonals bisect each other)

Side: PT = PT (common)

Therefore, Area(PQT) = Area(PST) by SSS congruency

Using ASA congruency,

Angle: ∠TPS = ∠TPQ (diagonals bisect the angles)

Side: PS = PQ (by the rule, all sides of rhombus are equal)

Angle: ∠PST = ∠PQT (opposite angles are equal, and diagonals bisect the angles)

Therefore, Area(PQT) = Area(PST) by ASA congruency

Using SAS congruency,

Side: ST = TQ (by the rule, diagonals bisect each other)

Angle: ∠PTS = ∠PTQ (by the rule, diagonals bisect each other at 90°)

Side: PT = PT (common)

Therefore, Area(PQT) = Area(PST) by SAS congruency.

Using RHS congruency,

Right angle: ∠PTS = ∠PTQ (diagonals bisect each other at 90°)

Hypotenuse: PS = PQ (all sides of rhombus are equal)

Corresponding Side: ST = TQ (by the rule, diagonals bisect each other)

Therefore, Area(PQT) = Area(PST) by RHS congruency

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Answer:

-1/420

Step-by-step explanation:

-4/7/12/20

= -1/21/20

= -1/420

The exponential function y = 60(1.2)7 yields the number of patents in 1998.

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis. Let y be the number of nanotechnology-related patents issued in the US in year x following 1991.

There were 60 patents on nanotechnology in 1991, and since then there has been a factor of 1.2 increase.

y = 60(1.2)ˣ

y = 60 in 1998 (7 years ago) (1.2)⁷

The exponential function is used to calculate the number of patents in 1998.

y=60(1.2)⁷

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Answer:

there is no model linked

Step-by-step explanation:

Answer: 1 1/2 in a hour

Step-by-step explanation:

1/2 every 1/3 so if we add one more half it is 1 and 2/3 the last one is 1 1/2 is 1 full hour.

Answer:

Yes! The painting is similar.

Step-by-step explanation:

The sides of the original painting are 30 and 21. If you divide this by 3, it equals 10 and 7 which are the sides of the print. This means that the ratio is right so the paintings are similar.

Comparison symbol makes each inequality statement true is −6.809< −6.812.

The given numbers are −6.809 and −6.812.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

−6.809< −6.812

|−6.809|>|−6.812|

Therefore, comparison symbol makes each inequality statement true is −6.809< −6.812.

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Answer:

22.5

Step-by-step explanation:

we can use the ratios to turn x+y+z=180 to x+4x+3x= 180

then solve for 180

x = 22.5

Answer: D.) 22.5°

Have a nice day!

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

The integers that are closest to the number in the middle will be 89 < 90 < 91.

It should be noted that an integer simply means a whole number that can be positive, negative, or zero.

It should be noted that on this case, we have to look for the numbers that are closest to 90 one has to be less than 90 and the other one should be greater than it.

Therefore, the numbers that fits the information will be 89 and 91.

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