Edgar us using computer graphics to build the background images for a new animated film. He is using linear modeling, the process of using linear equations to describe real-world objects. Edgar had identified the functions needed to build an image in the graphics program.

Answer:

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]5x + 20y = 600[/tex]

To convert the given equation to slope-intercept form:

[tex]\boxed{\begin{array}{rccccccc}5x &+ & 20y & = & 600&&&\\-5x & & & && -5x &&\\\\\cline{1-8}\\& & \dfrac{20y}{20} & = & \dfrac{-5x}{20} & + & \dfrac{600}{20}\\\\&& y&=&-\dfrac{1}{4}x & + & 30\end{array}}[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

Given the exponential model:

Where A is the initial condition, b is the growth factor and x is a time-like variable.

We know that the growth factor is 1.9 and that 1500 people died of AIDS in 1983. If we make x to be the years passed since 1983, then 1500 is our initial condition (because 0 years passed). In our model:

For 2005, x = 22:

Different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is equal to 6.

As given in the question,

For Math Assignment

The total set of standard dice = 6

After rolling each dice,

Possible outcomes after each trial  = { 1,2,3,4,5,6 }

The total number of possible outcomes for each trial = 6

Different possible outcomes after rolling all six dice = 6 × 6

                                                                                = 36

Therefore, different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is 6.

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The volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements for sphere volume include m^3, cm^3, and in^3.

The formula of volume of the sphere is

V = 4/3πr3

given that the radius of spherical rubber ball is 2 3/4

here the radius is given in improper fraction

now convert it into the decimal by following procedure.

first multiply the 2 with 4

2 X 4 = 8

now add 8 to 3. 8 + 3 = 11

The proper fraction of 2 3/4 is 11/4.

so, the decimal number is 2.75

now put r = 2.75 in formula to get the volume.

V = 4/3 X 3.14 X 2.75 X 2.75 X 2.75

V = 1.33333 X 3.15 X 20.7968

V = 87.11 cubic inches

Hence,the volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.

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Answer: 104.3

Step-by-step explanation: To divide a decimal by another decimal: Move the decimal point in the divisor to the right until it is a whole number.

1) The equation of line is; y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is; 6 sq.units

4) Perimeter is; 14.325 units

1) The coordinates of the line AC on the graph are;

A(-3, 0) and C(3, 2)

Thus, equation of line is gotten from the formula;

(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)

(2 - 0)/(3 + 3) = (y - 0)/(x + 3)

2/6 = y/(x + 3)

3y = x + 3

y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is;

Area = 1/2 * base * height

Area = 1/2 * 6 * 2

Area = 6 sq.units

4) Perimeter of ACT is gotten by;

AT + CT + AC

AC = √((2 - 0)² + (3 + 3)²)

AC = √40

Thus;

Perimeter = 2 + 6 + √40

Perimeter = 14.325

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The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).

slope of the line  = -5/4.

The line pass through the points (-3, 2) and (1, -3)

The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here, m = slope of the line

m = -3-2/1 +3 = -5/ 4

slope of the line  = -5/4.

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The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be 0.52

As per the question statement, a box of assorted cookies has 36% of them containing chocolate and 12% containing nuts, and of those, again 8% contain both chocolate and nuts, and we are assuming that the rest of the cookies neither contain chocolate, nor nuts.

Based on the conditions and our assumptions provided in the above mentioned statement, we are required to calculate the probability that a cookie is randomly picked and it does not contain chocolate or nuts.

Considering the total number of cookies in the box to be 100%, since 36% of them containing chocolate and 12% containing nuts and the rest of the cookies are assumed to contain neither chocolate, nor nuts,

The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be [{100 - (36 + 12)}/100]

                                      = [(100 - 48)/100]

                                      = (52/100)

                                      = 0.52

Probability: It is a branch of Mathematics, that deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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The best approach to provide an answer to the question would be: Calculate a confidence interval using t*

The confidence interval is often used to obtain the true population mean. The question asks us to identify evidence that points to the fact that the mean amount of water drank by each teenager is more than 1.5 liters.

We are here searching for the true population mean. We calculate a confidence interval using t when the population variance is not known as is the case here. So, to solve this question, we would calculatethe confidentce interval using t*.

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The factorization of the quadratic expression 25x² - 4 gives us (5x + 2)(5x - 2) where; x = -2/5 or 2/5

We are given the quadratic equation as;

25x² - 4

Now, this quadratic equation can be written as;

25x² + 10x - 10x  - 4

We can group this using algebra properties to get;

(25x² + 10x) - (10x + 4)

Collecting like terms gives us;

5x(5x + 2) - 2(5x + 2)

Thus, the factorization is;

(5x + 2)(5x - 2)

The values of x will be;

5x + 2 = 0

x = -2/5

Or 5x - 2 = 0

x = 2/5

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Answer:

346,990

Step-by-step explanation:

98,075,643,476

Step-by-step explanation:

I add 20 to 56 and the answer is thos

Answer:

Step-by-step explanation:

We are given the volume formula:

Find the height:

Substitute all into formula:

You may keep it as is or simplify:

Slope m is positive when

x₁≥ -2

y₁ ≥ -5

Slope, usually referred to as rise over run, is the "steepness" of the line. By dividing the difference in y values between two points by the difference in x values, we may determine slope. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. A line that is moving up will have a positive slope, and a line that is moving down will have a negative slope, if you view the line from left to right.

Given,

Point (-2. -5)

Slope = [tex]\frac{y_{1}-(-5) }{x_{1}-(-2) }[/tex]

Slope = [tex]\frac{y_{1}+5 }{x_{1}+2 }[/tex]

Slope m is positive when

x₁≥ -2

y₁ ≥ -5

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Answer:

-2

Step-by-step explanation:

hope this helps

Answer:

Slope = -2

Step-by-step explanation:

slope = (y2-y1) / (x2-x1)

choose 2 points

i choose (2, -1), and (5, -7)

slope = (-7 - (-1))/(5-2)

slope = (-6)/3

slope = -2

Answer:

-6 47/20

Step-by-step explanation:

The measure of FG is 16 units.

The measure of FG can be found as follows:

GE is an angle bisector.

An angle bisector is a bisector that bisect angles into two equal halves.

Therefore,

GE bisect ∠FEH

Hence,

FG = GH

FG = x + 11

GH = 3x + 1

x + 11 = 3x + 1

11 - 1 = 3x - x

10 = 2x

x = 10 / 2

x = 5

Therefore,

FG = x + 11 = 5 + 11 = 16 units

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The function is increasing over the interval (-3,-1).

A table with x and f(x) values are given as:

x         f(x)

-6         34

-5          3

-4        -10

-3         -11

-2         -6

-1           -1

0           -2

1            -15

We have to check whether this function is increasing or not in the intervals  (–6, –3), (–3, –1), (–3, 0), (–6, –5).

A function is said to be increasing over an interval (x, y), if for x < y, it follows that f(x) < f(y).

Consider the intervals one-by-one.

For (-6, -3), we have the function values in between which are  34 > 3 > -10 > -11. So in this interval the function is not increasing but decreasing over the x-values in (-6, -3).

For (-3, -1), the corresponding function values are -11 < -6 < -1. Here the function values are increasing over the x-values in the interval (-3, -1).

For (-3,0), the corresponding function values are -11 < -6 < -1 >-2. Since we got -1 > -2 in the interval (-3,0), the function is not increasing here also.

For (-6,-5), the corresponding function values are 34 > 3. So the function is not increasing but decreasing.

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Answer:

17, 19 & 21

Step-by-step explanation:

Answer:

the answers i found were 17, 19 and 21

The answer is C y=x+8

I WILL USE THE METHOD OF ADDITIVE INVERSE.

[tex]t - 6 + 6 = 13 + 6 \\ t = 19[/tex]

ATTACHED IS THE SOLUTION

Answer:

Step-by-step explanation:

You need to see what 13 minus 6 is and that the T value then just plug it in. The answer is 7

Answer:

Incomplete question

...

The average change in temperature per hour is 7.1°.

Given, the temperature in a certain city changed to 34.084°F

over 4.8 hours.

the average change in temperature per hour = ?

average temperature = change in temperature/time taken.

= 34.08/4.8

= 71/10

= 7.1°f

the change in temperature is 7.1°f

Hence the change in temperature per hour is 7.1°f.

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A)  The conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 53.85%

B) Yes,  there is an association between attending college and living at home.

A conditional relative frequency is calculated by dividing a frequency that is not in the Total row or the Total column by the frequency's row total or column total.

A) From the definition above, the conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 35%/65% = 7/13 = 53.85%

B) Yes there is an association between attending college and living at home because the percentage of students who plans to live at home, given that they plan to attend college over half of those is more than 50%.

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Answer:

First five multiples of 20 are: 20,40,60,80 and 100.

First five multiples of 30 are: 30,60,90,120, and 150.

Answer: for 20 it is 20,40,60,80,100

For 30 it is 30,60,90,120,150

Step-by-step explanation:

here’s another way you can multiply 20 and 30 by 1 and above hope this will help

Answer:

D)  68

Step-by-step explanation:

PEMDAS

The PEMDAS rule is an acronym representing the order of operations in math:

Given expression:

72 - 9 ÷ 3 · 2 + 2

Following the order of operations, carry out the multiplication and division first, working from left to right.

Divide 9 by 3:

⇒ 72 - 9 ÷ 3 · 2 + 2

⇒ 72 - 3 · 2 + 2

Multiply 3 by 2:

⇒ 72 - 3 · 2 + 2

⇒ 72 - 6 + 2

Now carry out the addition and subtraction, working from left to right.

Subtract 6 from 72:

⇒ 72 - 6 + 2

⇒ 66 + 2

Add 66 and 2:

⇒ 66 + 2

⇒ 68

Solution

72 - 9 ÷ 3 · 2 + 2 = 68

Answer:

d

Step-by-step explanation:

Answer: y = x +8

Step-by-step explanation:

An item is regularly priced at $78. Martina bought it at a discount of 80% off the regular price. Martina paid $15.6

Sales price:  The price that is paid by the buyer at the time when something is sold: People who sold their homes through real estate agents typically did not get a higher sale price than people who sold their homes themselves

The formula for calculating sales price of an item is:

s=p-(p x d)

where,

s is the sales price (which we are going to calculate in this problem)

p is the regular price of the item which is $78

d is the discount rate which is 80%

which means out of 100 = 80/100

substitute the above values in the formula then we get

s=$78-($78 x 80/100)

s=$78-($6240/100)

s=$78-$62.4

s=$15.6

Martina paid $15.6

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a. Connect S to C and A.

b. The shoe store

c. If a book is a paperback, then it is on sale. If a book is on sale, then its sale price is 20% off the original price.

d. If a book is a paperback, then its sale price is 20% off the original price

Any diagram that conveys mathematical concepts is referred to as a math diagram. This includes both simple charts and graphs and complex logic and geometrical diagrams. A visual aid can help you understand math and science concepts.

Two parallel columns make up a mapping diagram. The first column represents a function's domain, and the second column its range. To represent the relationship between any two elements, lines or arrows are drawn from domain to range.

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