Help me please is do today

Answer:

5/4

Step-by-step explanation:

There is a rule that dividing by a fraction is the same as multiplying by the reciprocal.

So:

[tex]\frac{5/6}{2/3} = \frac56 \cdot \frac32 = \frac{15}{12} = \frac54[/tex]

Answer:

The prime factorization of 21 is;

Explanation:

We want to find the prime factorization of 21;

The number 21 is a product of 3 and 7;

since 3 and 7 are both prime number, then the prime factorization of 21 is;

The explicit function of the relation is Tn = 4.25 + 0.75n and the cost of a 55 miles ride is $45.5

The sequence of the relation is given as

5.00, 5.75, 6.50, …

In the above sequence, we can see that

The sequence have a common difference of 0.75

This means that the sequence is an arithmetic function

An arithmetic function is represented as

T(n) = a + (n - 1)d

Where

Substitute the known values in the above equation

Tn = 5 + 0.75(n - 1)

Expand

Tn = 5 - 0.75 + 0.75n

Evaluate

Tn = 4.25 + 0.75n

This means that

n = 55

Subsitute n = 55 in the equation Tn = 4.25 + 0.75n

So, we have

T55 = 4.25 + 0.75 * 55

Evaluate the product

T55 = 4.25 + 41.25

Evaluate the sum

T55 = 45.5

Hence, a 55-mile ride will cost $45.5

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Answer:

12 Blueberries and 4 Strawberries

Step-by-step explanation:

12+4 = 16 and 12:4 = 3:1

The ordered pairs that are also functions are listed below.

1. {(2,4),(3,1),(0,5),(-1,-3)}

2. {(2,4),(-4,1),(0,4),(-3,-0)}

4.{(7,-3),(3,-7),(2,4),(4,2)}

The ordered pairs that are not functions are listed below.

3.{(-2,-3),(4,1),(4,4),(-3,2)}

A function is a relation between two sets of ordered pairs that describe that there should be only one output for each input, or that for every element in set A, there should be one and only one relation in set B.

A relation between two sets of ordered pairs can be considered a function when every X value is associated with only one Y value.

Here in the first, second, and fourth sets of ordered pairs

1. {(2,4),(3,1),(0,5),(-1,-3)}

2. {(2,4),(-4,1),(0,4),(-3,-0)}

4.{(7,-3),(3,-7),(2,4),(4,2)}

Hence, every value in X has only one single value in Y. Hence, all these relations can be considered functions.

In the third set, i.e.,

3.{(-2,-3),(4,1),(4,4),(-3,2)}

It can be seen that element 4 has two values as its output, which are 1 and 4 ((4,1),(4,4)). Hence, it cannot be considered a function.  

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The dimensions of the windowpane = 5 inches x 5 inches

This means the windowpane is square in shape.

Now, for the triangle,

Sides of the triangle = 5 inches each

Diagonal of the Square = Hypotenuse of the Triangle

The diagonal of a square is given by = [tex]\sqrt{2}[/tex] x side of the square = 5[tex]\sqrt{2}[/tex] inches

So, the perimeter of the one triangle = 5 + 5 + 5[tex]\sqrt{2}[/tex] = 10 + 5[tex]\sqrt{2}[/tex]

= 5(2+[tex]\sqrt{2}[/tex]) Inches

= 5(2+1.414)

= 17.07 inches (Approx.)

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If Zachary purchased a computer for ​$1600 on a payment plan. five months after he purchased the​ computer, his balance was ​$900. eight months after  his balance was ​$480.  The equation that models the balance y after x​ months is: y = -140x + 1600.

Month    Balance

0            1600

5              900

8              480

Slopes:

(1600 - 900) / 5  = 700 / 5 = 140

(1600 - 480) / 8 = 1120 / 8 = 140

(900 - 480 ) /  - 3 = - 140

Hence,

y = -140x + 1600

Therefore the equation is y = -140x + 1600.

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Answer:

3, 9, 19

Step-by-step explanation:

substitute n = 1, 2, 3 into the nth term formula

n = 1 : 2(1)² + 1 = 2(1) + 1 = 2 + 1 = 3

n = 2 : 2(2)² + 1 = 2(4) + 1 = 8 + 1 = 9

n = 3 : 2(3)² + 1 = 2(9) + 1 = 18 + 1 = 19

the first 3 terms are 3, 9, 19

Answer: y - 3 = -2(x + 2)

Given: 5 kg bag of grass seed covers 650 m2

To find:

Bags to seed 60m-80m field

Solution:

Area of football field- 60x80=4800m²

Bags required-

Since 650 m² is covered by 5kg

So, 4800m² will be covered by-

=4800/650x5

= 36.9 bags

Therefore, 40 bags are required to seed a 60m-by-80m football field.

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Answer: Yes because an example of a proportional problem is 54x = 103

I am pretty sure that is the answer

Using similarity of triangles, the length of side GH is given as follows:

GH = 18.

Similar triangles have congruent angle measures, thus the measures of the side lengths are proportional.

In this problem, triangles CAD and HGD are similar, and the equivalent sides are given as follows:

Hence the following proportional relationship is established:

x/12 = 45/30

Applying cross multiplication, we can solve for x, which is the length of side GH, as follows:

30x = 45 x 12 (simplifying by 30)

x = 1.5 x 12 (multiply 1.5 and 12).

x = 18. (which is the length of side GH).

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According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:

(g o h)(n)  = 2n³ +4n -2.

A function is described as a relationship between a group of inputs with one output each. A function is, to put it simply, a relationship between inputs in which each input is connected to exactly one output.

A function is defined technically as a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.

g(n) = -n² -1 h(n) = -2n + 2

find  (g o h)(n)

We can write it as:

g o h = g  x h

         = (-n² -1) x (-2n + 2)

        = 2n³ + 2n +2n -2

       = 2n³ +4n -2

According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:

(g o h)(n)  = 2n³ +4n -2.

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The two variable equation representation of the Jae expenditure of money while buying Video games and gaming accessories will be 60x + 45y = 500

It is given that,

The total money that Jae has =  $500

The cost price of each video game = $60

And, the cost price for each game accessories = $45

We need to find an arithmetic equation representation which is known as equation in two variable

To do that, the question has represented both number of games and gaming accessories that Jae bought with x and y variables

It is given,

Total number of video games he an buy = x

Total number of gaming accessories he an buy = y

Now, the total expenditure that Jae will do in buying Video games and gaming accessories should not exceed $500 as this s the total money he had wit him

Therefore,

60x + 45y = 500

This is the two variable equation representation of the Jae expenditure of money while buying Video games and gaming accessories

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Answer:

16/3.

Step-by-step explanation:

5 1/3

First multiply 5 by 3.

This gives 15.

Now add the numerator of the fraction (1) to 15

- to give 16.

The improper fraction is 16/3.

Percent increase by 35.71%

What is Profit and Loss ?

Profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year.

Given,

cost price of a boat is = $2800

selling price of a boat is = $3800

There is profit since C.P is less than S.P.

so, Profit = S.P - C.P

               = $3800 - $2800

               = $1000

Now, find profit percent i.e, Profit% = (Profit / C.P) * 100

=> Profit % = (1000 / 2800)*100

                 = 35.71%

Therefore, Percent increase by 35.71%

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Answer:

  ∠ABD = 19.5°

  ∠ABE = 160.5°

Step-by-step explanation:

Given angle ABC = 39° and its bisector BD, you want the measures of angle ABD and ABE, its supplement.

An angle bisector divides an angle into two equal parts, each with half the measure of the whole.

  ∠ABD = 1/2∠ABC

  ∠ABD = 1/2(39°)

  ∠ABD = 19.5°

The angles of a linear pair are supplementary: they total 180°. Angles ABD and ABE form a linear pair.

  ∠ABE = 180° -∠ABD

  ∠ABE = 180° -19.5°

  ∠ABE = 160.5°

5 3/4 = 5.75

8 1/2 = 8.50

2 1/4 = 2.25

Volume = width × height × length

? = (5.75)(8.50)(2.25)

volume = 109.96875

in fraction form = 109 31/32

The inverse function of the function f(x) = 12(x+3)  is f(x) = -2x - 3

A function's inverse is a function that offers us the actual value for which the desired function produces a specific outcome.

The function given is:

To find the inverse, we must perform the following procedures.

y takes the place of f(x);

y = -(x+3)/2

Change the x and y variables.

x = -(y+3)/2

Calculate y

2x = - (y + 3)

2x = -y - 3

y = -2x - 3

We get the following in inverted notation:

f(x)⁻¹ = -2x - 3

Thus the obtained inverse function is f(X) =  -2x - 3

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First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

By following the steps below, we can plot the graph of →

y = 5 cos(2x + π/3) - 1

The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given is the following function -

y = 5 cos(2x + π/3) - 1

We have -

y = 5 cos(2x + π/3) - 1

We can sketch the function as follows -

Let y = cos(x)

       y = 5 cos(x)

        y = 5 cos(2x)

        y = 5 cos(2x + π/3). This will shift the graph along the negative

        [x] - axis by π/3.

Therefore, by following the steps above, we can plot the graph of →

y = 5 cos(2x + π/3) - 1

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Answer:  between $42 and $54 including both endpoints.

In symbolic form we can say [tex]42 \le p \le 54[/tex] where p is the final price after the discount is applied.

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

Explanation:

10% off means you save 10% but pay the remaining 90%

Then convert 90% to decimal form to get 0.90

If the original price is $60, then the final price is 0.90*60 = 54 dollars.

In other words,

10% of 60 = 0.10*60 = 6 dollars saved

60-6 = 54 is the final price

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

If the discount is 30% then you pay the remaining 70%

0.70*60 = 42

Or you can think of it like this

30% of 60 = 0.30*60 = 18 dollars saved

60-18 = 42 dollars is the final price

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

Let's summarize with this chart:

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Discount} & \text{Amount Saved} & \text{Final Price}\\\cline{1-3}10\% & \$6 & \$54\\\cline{1-3}30\% & \$18 & \$42\\\cline{1-3}\end{array}[/tex]

Therefore, the final price after the discount is between $42 and $54 including both endpoints.

Side note: The jump from 10% to 30% is "times 3"; so is the jump from $6 to $18 in the "amount saved" column of the table.

By using the synthetic substitution in the function f(x) = [tex]x^3+4x^2-5x+11[/tex], the value of f(-3) = 35

The function is

f(x) = [tex]x^3+4x^2-5x+11[/tex]

The function is defined as the relationship between the one variable and another variable. If one variable is dependent variable and another variable will be independent variable

To find the value of f(-3), first we have to substitute the value x = -3 in the given function

The function is

f(x) = [tex]x^3+4x^2-5x+11[/tex]

Substitute the value of x = -3

f(-3) = [tex](-3)^3+4(-3)^2-5(-3)+11[/tex]

= -27 + 36 + 15 + 11

= 35

Hence, by using the synthetic substitution in the function f(x) = [tex]x^3+4x^2-5x+11[/tex], the value of f(-3) = 35

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Considering the average rate of change of the function, the matched pairs are given as follows:

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given according to the following rule:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For the interval given by item 1, between -1 and 2, we have that:

Hence the rate is:

r = (-17 - (-2))/(2 - (-1)) = -15/3 = -5.

Meaning that 1 matches with a.

For the interval given by item 2, between -1 and 0, we have that:

Hence the rate is:

r = (3 - (-2))/(0 - (-1)) = 5/1 = 4.

Meaning that 2 matches with b.

For the interval given by item 3, between 1 and 2, we have that:

Hence the rate is:

r = (-17 - (-2))/(2 - 1) = -15/1 = -15.

Meaning that 3 matches with c.

For the interval given by item 4, between -2 and 0, we have that:

Hence the rate is:

r = (3 - (-17))/(0 - (-2)) = 20/2 = 10.

Meaning that 4 matches with d.

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The volume of a cylinder is: V = π r² h then the volume of a cylinder is 5091.43  cm²

The volume of a cylinder is:

V = π r² h

From the information provided it can be concluded that:

The height of the cylinder is, h = 20 cm

The radius of the base exists, r = 9 cm

Compute the volume of a cylinder as follows:

V = π r² h

substitute the values in the above equation, we get

= (22/7) × 9² × 20

simplifying the above equation, we get

= (22 × 81 × 20) / 7

= 5091.42857

≈ 5091.43

Therefore, the volume of a cylinder is 5091.43 cm².

The complete question is:

Calculate the volume of this cylinder, giving your answer to 1 decimal place.

20 cm

9 cm

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Function : $8000 = $1200 + $700x

They will raise $700 per month for x months -> $700x is the amount of money they raise per month.

Since $8000 is the sum in the function, it is the goal.
Therefore, $1200 in this case means they started with $1200.

The subtraction of the numbers, involving scientific notation, is given as follows:

18 - 9.2 x 10^(-4) = 17.99908.

A number in scientific notation is given according to the rule presented as follows:

[tex]a \times 10^b[/tex]

The base is [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.

In this problem, we are given the following subtraction:

18 - 9.2 x 10^(-4).

When two numbers are subtracted, they must have the same base, hence we are going to convert 9.2 x 10^(-4) to base 0.

This means that 4 has to be added to the exponent, meaning that the base has to be divided by 10000 to compensate, then:

9.2 x 10^(-4) = 0.00092.

Then the result of the subtraction is given as follows:

18 - 9.2 x 10^(-4) = 18 - 0.00092 = 17.99908.

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Answer:

See below

Step-by-step explanation:

72 %  is .72 in decimal

.72 x = 50 oz     Divide both sides by .72

X = 50 / .72 = 69.44 oz     ( or 69  4/9 oz )