The following table shows the relationship between the cost of tickets to an amusement park and the number of people going to the park. Which graph best models the relationship in the table?

The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

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Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

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Answer:

y=-x-3

Step-by-step explanation:

Write in slope-intercept form, the equation is y=mx+b .

y=−x−3

Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

a. The conditional statement p → q is true

b. The converse q → p is False.

c. The inverse p → ~q is False

d. The contrapositive -q→ ~p is True

We are given the conditional statement;

Let p be "an animal is a puppy" and let q be "it is a dog."

a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.

b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.

c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.

d) The contrapositive statement: q → ~p which is  "If an animal is not a dog, then it is not a puppy" is true.

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The function rule for the table is y = 25/4 x

The standard expression for a linear function is expressed as y =mx + b

where

m is the slope

b is the y-intercept

Using the coordinate points (4, 25.00) and (8, 50.0)

Determine the slope

Slope = 50-25/8-4

Slope = 25/4

Determine the y-intercept

50 = 25/4(8) + b

50 = 25(2) + b

50 = 50 + b

b = 0

Hence the function rule for the table is y = 25/4 x

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Answer:

-20, -18

Step-by-step explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x  Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26=  4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80

Answer:

x= 5

Step-by-step explanation:

2x+ 15=25

-15 -15

2x= 10

/2 /2

x=5

Answer:

x = 5

Step-by-step explanation:

2x + 15 = 25

2x + 15 - 15 = 25 - 15            (subtract 15 from both sides)

2x = 10

2x/2 = 10/2                           (divide by 2 on both sides)

x = 5

Answer: y = 8

Step-by-step explanation:

      Point-slope form is written as y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ([tex]x_1[/tex] , [tex]y_1[/tex]) are points on the line.

      First, we need to find the slope. This can be found with change in y over change in x:

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=[/tex] undefined

      Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - [tex]x_1[/tex]) is, the right side of the equation will always be 0.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - [tex]y_1[/tex] = (0)(x - [tex]x_1[/tex]) ➜ y - [tex]y_1[/tex] = 0

      Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y - [tex]y_1[/tex] = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

      y = 8

See attached for a visual explanation.

Step-by-step explanation:

the ratio between two circles vqjoizxcvu g çm

Answer:It means you would have spent $36 below zero and now you owe the bank some money

Step-by-step explanation:

Answer:

17/20 = 0.85

Step-by-step explanation:

Subtract

1 and 3 over 51

3

5

− 6 over 8

6

8

= 34 over 40

34

40

2.

Step 2 of 2: Simplify.

34 over 40

34

40

= 17 over 20

17

20

Step-by-step explanation:

[tex] = (2 {a}^{ - 5} ) \times ( - 5 {a}^{9} )[/tex]

[tex] = (2 \times ( - 5)) {a}^{ - 5 + 9} [/tex]

[tex] = - 10 {a}^{4} [/tex]

The final area of the mixer cover is 1650/7 square cm.

Given that:-

Diameter of circular plywood cover = 20cm

Diameter of circular hole in the middle = 10cm

We have to find the final area of the mixer cover after cutting the hole in the middle.

We can find the radius of the circular cover and the circular hole using their respective diameters.

Hence,

Radius of circular plywood cover = 20/2 = 10 cm

Radius of circular plywood cover = 10/2 = 5 cm

We know that,

Area of circle = [tex]\pi r^2[/tex]

Hence,

Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]

Area of circular hole  = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]

Final area = Area of circular plywood cover - Area of circular hole

Final area = (2200/7) - (550/7) = 1650/7 square cm.

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The quotient of the fraction 4/12 ÷ 1/12 is 4.

So, evaluation of 4/12 ÷ 1/12:

Therefore, the quotient of the fraction 4/12 ÷ 1/12 is 4.

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A "meta-analysis" is a statistical procedure for combining the findings of multiple studies to reach a single conclusion.

Meta-analyses are more rigorous and quantitative than both kinds of reviews.

Some main points related to meta-analysis are-

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Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer:

C

Step-by-step explanation:

given the zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

then f(x) is the product of these factors

given zeros x = 6 and x = - 4 then the factors are

(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then

f(x) = (x - 6)(x + 4)

Answer:

it can be reduce by turning into a mixed number.

So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]

side UV:

[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]

side VW:

[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]

side UW:

[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]

So the perimeter is:

P=UV+VW+UW

[tex]$P=5+8+9.434=22.434$[/tex]

So the perimeter is: 22.434

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Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Answer:

64 Feet.

Step-by-step explanation:

First find the expression that describes the distance at t seconds. Which will be 16t^2

Now the distance is t=2.

So...

=16t^2

=16(2)^2

=64.

The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

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3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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Answer: 14/15

Step-by-step explanation:

[tex]9x=10x-x[/tex]

Divide both parts of the equation by 9:

[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]