What is the slope of the line on the graph?
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Answer:

y = [tex]\frac{a+k}{t}[/tex]

Step-by-step explanation:

ty = a + k ( isolate y by dividing both sides by t )

y = [tex]\frac{a+k}{t}[/tex]

Answer:

[tex]\sf y =\dfrac{a+k}{t}[/tex]

Step-by-step explanation:

To make 'y' as the subject, isolate y by dividing both sides by t

      ty = a + k

Divide both sides by t,

         [tex]\sf \dfrac{ty}{t}=\dfrac{a+k}{t}\\\\[/tex]

           [tex]\sf y = \dfrac{a +k}{t}[/tex]

The outliers of the given data set are 2 and 12.

The given data set is 2, 4, 6, 8, 10 and 12.

Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".

In the given data set 2, 4, 6, 8, 10 and 12.

2 is the lowest observation and 12 is the highest observation.

So, 2 and 12 are two extreme values and these two are outliers.

Therefore, the outliers of the given data set are 2 and 12.

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Answer:

11 inches

Step-by-step explanation:

The sides of the teacher's model are 110 inches

Henry's model should be 10 times shorter.

110 ÷ 10 = 11

Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

Answer:

D is the correct answer!!

Answer: z = 23

Subtract 32 and 9, which equals 23

So your equation is 23 + 9 = 32

Step-by-step explanation:

The equation which expresses c in terms of p, m and t as in the task content is; c = mt + p and the solution of the equation for t is; t = (c -p)/m.

It follows from the fact that the rate of change, m is constant in the situation described. Hence, the equation is a linear equation.

On this note, the required equation which represents total cost, c in terms of p, m and t can be written as;

C = mt + p.

Hence, to solve the equation above for t;

Subtract p from both sides so that;

c - p = mt

Divide both sides by m;

(c - p)/m = t.

Ultimately, The equation which expresses c in terms of p, m and t as in the task content is;

c = mt + p

and the solution of the equation for t is;

t = (c -p)/m.

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Answer:

See below

Step-by-step explanation:

To find zeroes:

  0 = (-16t-4)(t-2)

      so   -16t-4 = 0      t = -1/4

         or  t-2 = 0         t = 2  

when the ball is thrown, t= 0

  put t= 0 in the equation to find the initial height

      y = ( -16t -4)(t-2)

        = ( -16(0)-4)(0-2) = (-4)(-2) = 8 ft

After adding the numbers from 1 to 10, we get the result as 55.

We are given the numbers from 1 to 10

We need to find the sum of the numbers.

Adding these numbers, we will get that:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= 3 + 7 + 11 + 15 + 19

= 10 + 26 + 19

= 29 + 26

= 55

Therefore, we get that, after adding the numbers from 1 to 10, we get the result as 55.

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Not all rational numbers a and b satisfy the equation |a+b|=|a|+|b|.

As a result, |a+b|=|a|+|b|.

If |a+b|=|a|+|b| for all rational numbers a and b, we must verify this.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals).

Now,

a=-3 and b=5

|-3+5|=|-3|+|5|

⇒2≠8

A = 2 and B = 4

|2+4|=|2|+|4|

⇒6=6

As a result, we realized from the examples above that |a+b|=|a|+|b| isn't always true.

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Using algebraic expressions and equation, there are 26 kittens and 31 chickens in the yard.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Given that there are 57 kittens and chickens in the yard, we can express this as:

x + y = 57     ⇒     x = 57 - y     (equation 1)

where x = number of kittens

y = number of chickens

If a kitten has 5 claws on each of its 4 paws, and a chicken has 4 claws in each of its 2 feet, and they all have 768 claws, then

5(4)x + 4(2)y = 768     ⇒     20x + 8y = 768     (equation 2)

Substitute equation 1 to equation 2 and solve for y.

20(57 - y) + 8y = 768

1140 - 20y + 8y = 768

-12y = -372

y = 31

number of chickens = 31

Substitute the value of y in either of the two equations and solve for x.

x = 57 - y

x = 57 - 31

x = 26

number of kittens = 26

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The largest integer in the set of number is 91

The given parameters are

So, we have

x+(x+2)+(x+4)=267

Open the brackets

x + x + 2 + x + 4 = 267

Evaluate the like terms

3x = 261

Divide both sides by 3

x = 87

Substitute x = 87 in 3rd integer = x+4

3rd integer = 87 + 4

Evaluate

3rd integer = 91

Hence, the largest integer is 91

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The first four terms of the sequence are 7, 17, 37 and 77, respectively.

Sequences can be generated by using recursive formulas, that is, formulas that are in terms of the previous elements of a sequence. Herein we find a case of sequences by using recurrence formulas, whose procedure is shown below:

n = 1

f(1) = 7

n = 2

f(2) = 2 · f(1) + 3

f(2) = 17

n = 3

f(3) = 2 · f(2) + 3

f(3) = 37

n = 4

f(4) = 2 · f(3) + 3

f(4) = 77

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

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Answer: A, D, B

Step-by-step explanation:

Answer:A,B,D

yw :):):)

When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient. This is false.

It should be noted that a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, as well as non-negative integer exponentiation of variables

Dividing polynomials simply requires that a particular factor becomes the divisor and the other factor becomes the quotient.

Therefore, it's false.

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When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient.

Answer:

q = -20

Step-by-step explanation:

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

7q – 20 = – 10q + 20 + 19q

Simplify the equation, then we have

7q – 20 = – 10q + 20 + 19q

– 19q + 10q + 7q = 20 + 20

– 2q = 40

q = 40 / (–2)

q = – 20

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

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According to the question, the given rational expression is as follows:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}[/tex]

To simplify the given expression by performing factors on denominator:

[tex]4x^{2}-2x = 2x(2x-1)[/tex]

Substituting these factors in the final expression, we get:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}=\frac{2x}{2x(2x-1)}=\frac{1}{2x-1}[/tex]

Therefore, the final answer for the given expression is [tex]\frac{1}{2x-1}[/tex].

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The number of dinner combinations that will be represented in the Tree Diagram is 36.

A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on. The finished diagram bears a resemblance to a tree, with a trunk and multiple branches.It is used to break down broad categories into finer and finer levels of detail. Developing the tree diagram helps you move your thinking step by step from generalities to specifics.

Given that a neighborhood restaurant offers dinner for four for

$39.99 which includes

Three types of appetizers =(a1,a2,a3)

Four types of entrees = (e1,e2,e3,e4)

3 types of desserts = (d1,d2,d3)

Therefore, we can conclude the Number of combinations =  3*4*3=36

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Answer:

(13, 20)

Step-by-step explanation:

45 feet

Im writing this extra because the app said the answer was to short :)

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Input

(8 x^15)^(-1/3)

Value

1/(2 (x^15)^(1/3))

1/(2x^5)

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Answer:

14641

Step-by-step explanation:

Exponent rule

[tex]\mathrm{(-a)^n=a^n(when~n~is~even)}[/tex]

[tex]\left(-11\right)^4=11^4[/tex]

Multiply

[tex]11^4 = 11 \times 11 \times 11\times 11 = 14,641[/tex]

The population in the city in 2020 to the nearest 100 is 235242.65.

The population of the city was 228,000 in the year 2010.

From 2010 to 2015, the population grew by 7.7%.

The population decreases by 4.2 % from 2015 o 2020.

Initially, the population of the city is 228,000.

From 2010 to 2015,

The city's population increased by 7.7%.

7.7% of 228,000 = ( 7.7 / 100) × 228,000 = 17556

The population of the city from 2010 to 2015 = 228,000 + 17556 = 245556

From 2015 to 2020,

Now, the city's population decreases by 4.2%.

4.2% of 245556 = ( 4.2 /100) × 245556 = 10313.352.

Therefore,

The population of the city in the year 2020 = 245556 - 10313.352 = 235242.648

Therefore, the population in the year 2020 to the nearest 100 is 235242.65.

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Answer:

235200

Step-by-step explanation:

The equation is y = 30x +3000

$ 10500 is the rent for 250 guests.

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b.

Given:

(100, 4350) and (155, 6000)

So, slope = 6000- 4350 / 155-100

slope = 1650/55

slope= 30

So, the equation is

y-6000 = 30( x- 100)

y - 6000 = 30x - 3000

y = 30x +3000

Now,

and, for 250 guests the rent would be

y= 30 * 250 + 3000

y = 7500+3000

y= $ 10500

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Answer:

44pigs

Step-by-step explanation:

12/3=4.

4*11=44

The ratio shows how many times one value is contained in another value.

The number of pigs is 44.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The number of pigs: the number of goats = 11:3

Let the number of pigs = 11x

Let the number of goats = 3x

The number of goats = 12

This means,

3x = 12

Divide 3 on both sides.

x = 12/3

x = 4

Now,

The number of pigs:

= 11x

= 11 x 4

= 44

Thus,

The number of pigs is 44.

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The value of y on the unit circle is y =-3/5

A circle is defined as the locus of a point such that it is equidistant from a fixed point.

The equation of a circle with center at the origin is given by x² + y² = r² where r = radius of circle

A unit circle is a circle with radius, r = 1.

So, the equation of a unit circle is x² + y² = 1

Given that the point P(-4/5, y) lies on the unit circle, and P is int he third quadrant, making y subject of the formula in the equation for unit circle, we have

y = ±√(1 - x²)

Substituting x = -4/5 into the equation, we have

y = ±√(1 - x²)

y = ±√(1 - (-4/5)²)

y = ±√(1 - 16/25)

y = ±√[(25 - 16)/25]

y = ±√[9/25]

y = ±3/5

Now, given that P is in the third quadrant, it implies that y is negative. so, y = -3/5

So, the value of y on the unit circle is y =-3/5

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Answer:

inequality

Step-by-step explanation:

[tex]sum \: of \: interior \: angles = (9 - 2)180 = 1260 \\ one \: angle \: in \: th e\: nonagon = \frac{1260}{9} = 140 \\ x + nop = 180 \: (supplementary \: angles) \\ x + 140 = 180 \\ x = 180 - 140 \\ x = 40[/tex]

The number of hours the polls open on the election day was 9 hours

From the question, we are to determine how long the polls opened on the election day

From the given information,

6,504 people vote in the advance polls for a riding prior to the election

and

A total of 10,167 people voted in that riding

Thus,

The number of people that voted on the election day = 10167 - 6504

Number of people that voted on the election day = 3663

Also, from the given information

The polling stations for the riding record an average of 407 voters per hour

Then,

Number of hours the polls open on election day = Number of people that voted on the election day ÷ Average number of voters per hour

Number of hours the polls open on election day = 3663 ÷ 407

Number of hours the polls open on election day = 9 hours

Hence, the number of hours the polls open on the election day was 9 hours

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Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

The reason why i agree with her is that  the odds that is double will also give you an odd double and get an even double.

An odd number is known to be one that be looked at as an even number and this is one that happens if one added to it .

For example  5 is 4+1.

Therefore, if you add two odd numbers together, there is the probability that a person may get an even number.

For example is 3 + 5 = 8

Therefore, Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

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