han earns $33.00 for babysitting 4 hours. at this rate how much will he earn if he babysits 7 hours explain your reasoning

The slope of the line that passes through (3,4) and (2,-1) is 5/1 as a fraction

From the question, the points are given as

(3,4) and (2,-1)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (3,4) and (2,-1)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (3,4) and (2,-1)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-1 - 4)/(2 - 3)

Evaluate the difference in the above equation

So, we have the following representation

Slope = -5/-1

Lastly, we evaluate the quotient

So, we have

Slope = 5

The solution is to be in fraction form

So, we have

Slope = 5/1

Hence, the slope of the line is 5/1

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Possible question

Calculate the slope of (3,4) and (2,-1) as a fraction

Answer:

1.90°

2.30°

3.60°

Step-by-step explanation:

calculate it using the distance and angle

which is division

The value of the expression ⁴P₄ is 24 because when we simplified ⁴P₄ then we get the factorial 4 whose value is 24.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements .

The formula of  ⁿ[tex]P[/tex]ₓ [tex]=[/tex] [tex]\frac{(n)!}{(n-x)!}[/tex]

Similarly ⁿPₙ = n!

The value of 0! is 1

n! = n × (n - 1)!

According to the question ,

⁴P₄ [tex]=[/tex][tex]\frac{(4)!}{(4-4)!}[/tex] = [tex]\frac{4!}{0!}[/tex] = [tex]\frac{4!}{1}[/tex] =[tex]4![/tex]

Thus , 4! = (4) (3) (2) (1)

              = 24

Hence, the value of ⁴P₄ = 24 .

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The equation of the proportional relationship is [tex]y=\frac{1}{4}x[/tex].

Proportional relationships are relationships between two variables where their ratios are equivalent. A proportional relationship can be represented as follow:

y = kx

where

Therefore, the value of y is 4 when x is 16. Let's find the relationship in the form y = kx

4 = 16k

divide both sides by 16

4 / 16 = 16k / 16

k = 1 / 4

Therefore, the equation is [tex]y=\frac{1}{4}x[/tex]

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The pair of triangles that can be used to show that the slope of line a is same everywhere is upper half triangles

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees

The total area that is bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h.

The pair of triangles in choice C (shown in the figure below) demonstrates that line a has a constant slope throughout.

Let's investigate:

Rise/run = slope

Regarding the initial lower triangle:

Rise = 3.5

Run = 4.5

Slope = 3.5/4.5 ≈ 0.8

For the upper second traingle:

Rise = 4

Run = 5

Slope = 4/5 = 0.8

As a result, it demonstrates that the graph's line's slope is constant throughout.

The pair of triangles that can be used to show that the slope of line a is same everywhere is upper half triangles

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In a school, 2/5 of the students participated in an organized outing. The students participated in the outing is 144 students.

Let X be the total number of student, then

Total number of students in the school = 380

X = 380

number of the students participated in an organized outing = 2/5

so, the number of the students are calculated as :

= X x (2/5)

= 380 x (2/5)

= 72 x 2

= 144 students

Participated student = 144

In a school, 2/5 of the students participated in an organized outing. The students participated in the outing is 144 students.

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The value in dollars of a $3,000 investment after n years is given by f(n) = 3,000(1.05)n.

The value of the investment after 4 years is $12600.

A simple definition of an equation is a mathematical statement that depicts the relationship between two values. In an equation, the equal sign often equates the two values.

From this question we can assume that n = 4.

In the given equation,

F(n)= 3000(1.05)n

After putting the value of n which is 4, it will be:

F(4)= 3000(1.05) × 4 = 12600

Hence, the value of the investment after 4 years in $12600.

There are many different kinds of equations:

• Linear equation

o Equation with one variable

o Equation with two variables

o Equation with three variables

• Polynomial equation

o Monomial equation

o Binomial equation

o Polynomial equation

• Quadratic equation

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A set of data is given: 3, 7, 11, 11, 16 Jesse calculated a measure of central tendency and got 9. 6.

Jesse has calculated the Mean of the given set of data. The centre or middle of a set of data values is represented by a measure of central tendency. Mean, median, and mode are the most often used measures of central tendency.

The most common and well-known index of central tendency is the mean (or average). Although it can be used with both discrete and continuous data, continuous data is the most common type utilized with it. The mean is determined by dividing the total number of values in the data set by the number of values in the data set.

Formula for calculating mean is -  Sum of the observations/Total number of observations.

So here in the question, the sum of the observations is 48 which is calculated by adding all the values of data i.e 3+7+11+11+16 = 48 and the total number of observations are 5.

Hence, the Mean = 48/5 = 9.6

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Answer:

Just count all of the cubes  = 12

Step-by-step explanation:

12 cubes in all

The equation 6x²+64x-222 = -8x is in form of (x+6)² = 73

Given: 6x²+64x-222 = -8x

To change the given equation to the form (x+a)² = b, the steps below will be all intermediate steps involved:

6x²+64x-222 = -8x

2(3x²+32x-111) = 2(-4x)

3x²+32x-111 = -4x

3x²+32x+4x-111 = 0

3x²+36x = 111              (Divide through by 3)

x²+12x = 37

Using completing the square by adding the square of half of the coefficient of x to both sides of the equation:

x²+12x+(6)² = 37 +(6)²

(x+6)²  = 73

Therefore, the equation 6x²+64x-222 = -8x is in form of (x+6)² = 73.  The intermediate steps are as shown above

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For the figure 7, the measure of each angle is:

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

For the figure 8,

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

7) From the figure,

m ∠7=131°

m ∠7=m ∠1

m ∠1=131°

m ∠1+m ∠7+m ∠2+m ∠8=360°

131°+131°+ m ∠2+m ∠8=360°

m ∠2+m ∠8=360°-262°

m ∠2+m ∠8=98°

m ∠2=m ∠8

2m ∠2=98°

m ∠2=49°

m ∠8=49°

And also given that,

m ∠16= 88°

m ∠10=88°

m ∠10+m ∠16+m ∠9+m ∠15=360°

m ∠9+m ∠15=360°-176°

=184°

m ∠9=92°

m ∠15= 92°

m ∠11=m ∠7

m ∠11=131°

m ∠11=m ∠13

m ∠12= m ∠14=m ∠2= m ∠8=49°

m ∠10= m ∠16= m ∠6=m ∠4=88°

m ∠3=m ∠5= m∠9=m ∠15=92°

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

8) From the figure,

m ∠2=63°, m ∠9=105°

m ∠2=m ∠5= 63°

m ∠6+ m ∠5+m ∠4=180°

m ∠9= m∠7=m ∠6=m ∠3=105°

m ∠4=180°-63°-105°

m ∠4=12°

m ∠4=m ∠1= m ∠13=m ∠11=12°

m ∠11+m ∠13+m ∠12+m ∠14=360°

m ∠12=m ∠14

2m ∠12=360°-24°=336°

m ∠12=168°

m ∠12=m ∠14=168°

m ∠3=m ∠10=m ∠8=105°

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

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Answer: The integral of the rate of change of a function is equal to the total change in the function.

Step-by-step explanation:

The rate of change of the volume of a sphere with the radius is. DV.

The rate that Jacob would require to be able to end up with $17, 000 from $15, 000 after 6 years is  0.52%

To find the rate, you can use a spreadsheet. The relevant function would be the rate function.

Nper = Number of periods = 6 years x 4 quarters per year = 24 quarters

Pv = $15, 000

Fv = $17, 000

The interest rate required by Jacob would be given as:

= 0.005228753

= 0.52%

In conclusion, Jacob would require a periodic interest rate of 0.52%.

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Answer:  I checked all four of these equations using factoring and I get all of the SAME answers, except for #2 which is x=4 or -6. It looks like you had -4.

Good Job!

1) x=5 or x=−5

2) x=4 or x=−6

3) x=3 or x=−3

4) x=1/2 or x=−3

Step-by-step explanation:

Answer:

given that

26 + (-42) =0

-16 =0

-46 + (-52) = 0

=-46-52

= - 98 is answer

Step-by-step explanation:

given that

26 + (-42) =0

= -16 =0

-46 + (-52) = 0

=-46-52

= - 98 is answer

Answer:

280 miles

Step-by-step explanation:

You drive your car for 4 hours at an average speed of 70 miles per hour. How far did you go?

70 * 4 = 280 miles

The nth term of this quadratic sequence 3, 8, 15, 24, 35, … is 2n

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.

Confirm if the sequence is quadratic and this is done by finding the second difference

Sequence = 3, 8, 15, 24, 35, …

1st difference = 5, 7, 9, 11

2nd difference = 2, 2, 2

Divide the second difference by 2, and let the value be a

2 ÷ 2 = 1

So the first term of the terms is [tex]n^{2}[/tex]

subtract [tex]n^{2}[/tex] from the sequence gives 2, 4, 6 , 8, 10

the nth term is 2n

Therefore, the nth term is 2n

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The equation for profit relating to N(number of book ) is P = 15.21N - 650 .

In the question ,

it is given that

the small publishing company is releasing a "new book" ,

the cost(c) for the production of books is = 17.59*N + 650 ,

where N denotes the number of books .

total Revenue earned (in dollars) from selling the books is given by the function R = 32.80*N .

So , the Profit(P) = Revenue - Cost

Substituting the value of Revenue and Cost ,

we get ,

Profit = 32.80*N - (17.59*N + 650)

P = 32.80N - 17.59N - 650

P = 15.21N - 650

Therefore , The equation for profit relating to N(number of book ) is P = 15.21N - 650   .

The given question is incomplete , the complete question is

A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book printed.

The total production cost C (in dollars) is given by the function C= 17.95 N + 650, where N is the number of books.

The total revenue earned (in dollars) from selling the books is given by the function R=32.80N.

Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible

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The exponential generating function for the sequence of factorials is x! = Γ(x+1) = [tex]\int\limits^{infinity}_0 {t}^{x}{e}^{-t} \, dt[/tex].

We are given a sequence. A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It has members, just like a set. The length of the sequence is defined by the number of elements. The given sequence consists of factorials. The product of all positive integers less than or equal to n, denoted by n!, is the factorial of a non-negative integer n. We need to find the exponential generating function for the given sequence. The sequence is 0!, 1!, 2!, …, n!. The exponential generating function for the sequence of factorials is given below.

x! = Γ(x+1) = [tex]\int\limits^{infinity}_0 {t}^{x}{e}^{-t} \, dt[/tex]

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The population variance is a measure of the spread of values from their mean.

We need to define the population variance. The population variance is the variance of the population. Population variance describes how data points are distributed. It is the square of the average distance between each data point in the population and the mean.

In probability theory and statistics, variance is defined as the expectation of a random variable's squared deviation from its population mean or sample mean.

An average is a single number that represents a set of numbers, generally the sum of the numbers divided by the number of numbers in the set.

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Number of side of polygon will be 18.

What is polygon?

A plane figure may be a figure that's delineated by a finite variety of line segments connected to create a closed plane figure chain is called polygon.

Main body:

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. Let the number of sides be n.

n = 18, an octadecagon.

Measure of Each Interior Angle

If you imagine a regular octadecagon (or any polygon), you will notice that the exterior angle is the supplement of the interior angle.

20° = 180° - I, where I is the interior angle.

[20°] + I = [180° -I] + I

[20° + I] - 20° = [180°] - 20°

I = 160 degrees

Sum of the Interior Angles:

Sum of interior angles is 180° (n - 2). The way I remember this equation is by remembering that the equation contains 180° and the number of sides, and that the sum of interior angles of a triangle is 180°.

=180° (18 - 2)

=180° (16)

=(200 - 20)° (16)

=(3200 - 320)°

=2880°

Sum of the Exterior and Interior angles

360° + 2880° = 3240°

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Answer: 7

Step-by-step explanation: 2.9x - 12.3 = 8

2.9x= 8+12.3

2.9x=20.3

x=20.3/2.9

x=7

Answer: 44 feets

Step-by-step explanation:

657-613= 44

as for the last question, i don't quite understand what it is asking but id say that grade 7 won since jill's friend jumped more than 6.5 feets

Answer:

x=1.45

Step-by-step explanation:

4x+10+6x+13+2=180

10x+25=180

     -25    -25

10x=145

10x/10=145/10

x=14.5

The equation which can be used to represent each situation, in terms of x, is;

A = 80 + 2x

B = 45 + 3x

The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles

Let

Company A:

A = 80 + 2x

Company B:

B = 45 + 3x

Company B > Company A:

45 + 3x > 80 + 2x

collect like terms

3x - 2x > 80 - 45

x > 35

In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.

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It takes 9.96 hours to travel the same distance (24,900 miles) now that the rocket is faster.

Distance covered in one hour = 2500 miles

Total distance = 24,900 miles

D₁ / T₁ = D₂ / T₂

2500 / 1 = 24900 / x

x = 24900/2500

x = 9.96  hours

Hence, It takes 9.96 hours to travel the same distance (24,900 miles) now that the rocket is faster.

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A matrix is a form of writing items in rows and columns.

The value of [tex]c_{11}[/tex] is -3

The value of [tex]c_{12}[/tex] is 12

The value of [tex]c_{21}[/tex] is -36

The value of [tex]c_{22}[/tex] is 69

A matrix is a form of writing items in rows and columns.

[tex]C=\left[\begin{array}{ccc}c_{11}{&c_{12}\\c_{21}&c_{22}\end{array}\right][/tex]

We have,

[tex]A=\left[\begin{array}{ccc}0&-2\\4&7\end{array}\right][/tex]

[tex]B=\left[\begin{array}{ccc}3&-2\\6&-9\end{array}\right][/tex]

[tex]AB=\left[\begin{array}{ccc}3&-2\\6&-9\end{array}\right]\left[\begin{array}{ccc}3&-2\\6&-9\end{array}\right][/tex]

[tex]AB=\left[\begin{array}{ccc}(9-12)&(-6+18)\\(18-54)&(-12 + 81)\end{array}\right][/tex]

[tex]AB=\left[\begin{array}{ccc}-3&12\\-36&69\end{array}\right][/tex]

AB = C

[tex]C=\left[\begin{array}{ccc}-3&12\\-36&69\end{array}\right][/tex]

Now,

[tex]C=\left[\begin{array}{ccc}c_{11}{&c_{12}\\c_{21}&c_{22}\end{array}\right][/tex]

Thus,

The value of [tex]c_{11}[/tex] is -3

The value of [tex]c_{12}[/tex] is 12

The value of [tex]c_{21}[/tex] is -36

The value of [tex]c_{22}[/tex] is 69

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Number which produces an irrational number when multiplied by 1/2 is 2/3.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number. For instance, the square root of 2 cannot be expressed as an integer or a fraction. Additionally, if the value of the square root of 7 yields a value after the decimal point that neither terminates nor repeats, it will be an irrational number. The number 7 is an irrational number because its value, 2.64575131106, is non-terminating and non-repeating.

Given,

Number which produces an irrational number when multiplied by 1/2

We multiply 2/3 by 1/2

2/3 × 1/2

1/3

0.3333

which is an irrational number.

Number which produces an irrational number when multiplied by 1/2 is 2/3.

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Drawing is Given There:

hence,Although two or more fields may be next to each other, they shouldn't have the same boundary (e.g., a sideline or a fence.)

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Answer:

Soccer field B was translated to the left and down. Soccer field C was rotated and translated down. D building was translated to the right and down. E building was translated to the right and down. Baseball field F was translated to the right and down. Baseball field G was rotated and then translated to the right and down. Baseball field H was rotated and then translated to the right and down. Baseball field I was rotated and then translated to the right. 

Step-by-step explanation: