Consider the graph below:
What is the equation of the line in slope-intercept form?

​

​​The equation of the line is

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

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Answer:

Step-by-step explanation:

Answer:

oop

Step-by-step explanation:

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

Answer:

y = 24x

Step-by-step explanation:

In a direct variation, we have

output = k * input, with k being a positive number.

Therefore, with the output being the number of water bottles and the input being the number of cases, we have y = kx. We know that the output is y and the input is x because the question states that the number of water bottles (y) is directly proportional to the number of cases (x), so x must be multiplied by something to obtain y.

We have 120 water bottles as one output and 5 cases as its corresponding input.

120 = k(5)

divide both sides by 5 to isolate k

k = 24

y = 24x

The equation of the relationship is f(200) = 0.75 * 200

From the question, we have the following parameters that can be used in our computation:

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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\(a < 8 -+ 6 \\ =a < 14\)

The second option is the answer.

The coordinates of the point of intersection are (-6, -7)

The graph represents the given parameter

On the graph, we can see that there are two lines with the following properties:

The above properties means that:

From the graph, we can see that the lines A and the other line meet at a point

The point where these lines meet is referred to as the point of intersection

The coordinates of this point are (-6, -7)

Hence, the coordinates of the point where line a & tne line that has an undefined slope intersect are (-6, -7)

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Answer:

D) 100

Step-by-step explanation:

Solution: After four hours, one car travels 40 x 4 = 160 km, and the other car travels 35 x 4 = 140 km. Therefore, the two cars are 160 + 140 - 200 = 100 km apart

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Answer:

It can be written in interval notation as [-5,5)

Answer:

10 2/3 or 32/ 3

Step-by-step explanation:

5 - x^2 - (2 - 2x) =

= -x^2 + 2x + 3

Integral of (-x^2 + 2x + 3)dx from -1 to 3 =

= -x^3/3 + 2x^2/2 + 3x from -1 to 3

= -x^3/3 + x^2 + 3x from -1 to 3

= -27/3 + 9 + 9 - (1/3 + 1 - 3)

= -9 + 9 + 9 - 1/3 - 1 + 3

= 11 - 1/3

= 10 2/3 = 32/3

Answer:

32/3

Step-by-step explanation:

Check the pdf :)

Answer: x = 11

Step-by-step explanation:

   To solve we will isolate the variable, x.

   Given:

3x+3=2(x+7)

   Distribute:

3x+3=2x+14

   Subtract 3 and 2x from both sides of the equation:

x = 11

Answer: the function is monotonically increasing since the output values are continually getting larger. This also tells us that the end behavior of the function is infinity.

The x-intercept is (0,0), the y-intercept is (0,0), and the endpoint too is (0,0).

The domain of the graph is all values greater than or equal to 0, and the range is all positive output values.

Step-by-step explanation:

Plato answer

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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After measuring a set of individuals, a researcher finds that Bob’s score is three time greater than janes score. These measurements must come from a ratio scale. Therefore, the correct answer option is: C. ratio.

Generally speaking, there are four (4) basic scale of measurement for a variable and these include the following;

In Mathematics, a ratio scale can be defined as a quantitative scale of measurement where there is a true zero or origin characteristic. Additionally, there are equal intervals between neighboring data points on a ratio scale such as a score that is three time greater than another score.

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Complete Question:

After measuring a set of individuals, a researcher finds that Bob's score is three times greater than Jane's score. These measurements must come from a(n) ____ scale

a. nominal b. interval C. ratio O d.ordinal

Answer:

\(y=2/11\)

Step-by-step explanation:

\(\lim{t \to \pm \infty} R(t)=\lim_{ t \to \pm \infty} \frac{30t+525}{165t+7000} =\frac{30}{165}=\frac{2}{11}\)

Answer:

I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.

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Work Shown:

A = old price = 320

B = new price = 400

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (400-320)/320 ] * 100%

C = (80/320)*100%

C = 0.25*100%

C = 25%

The positive C value indicates a percent increase.

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

A slightly alternative method:

A = old price = 320

B = new price = 400

C = change in price

C = B-A

C = 400-320

C = 80 is the price increase

D = percent change

D = (C/A)*100%

D = (80/320)*100%

D = 0.25*100%

D = 25%

We get the same result as before.

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

(B) 0.708

Step-by-step explanation:

The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.

With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:

From the relation;

n = sample size = 8

∑xy = 3347

∑x = 44

∑y = 569

∑x² = 320

∑y² = 41681

Substitute these values into the relation as follows;

\(r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }\)

\(r = \frac{217.50}{307.32}\\\)

r = 0.7077

r = 0.708 to 3 decimal places

Therefore, the value of the linear correlation coefficient is 0.708

Answer:

1.5 hours= 1hr 30m

Step-by-step explanation:

90÷15=6

6÷2=3

48÷16=3

3÷2=1.5

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Using proportional variables, it is found that it will take 1.5 hours for 16 men  to dig a trench 48 m long.

The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:

\(t = k\frac{l}{m}\)

In which:

15 men can dig a trench of 90 m long in 3 hours, thus \(m = 15, l = 90, t = 3\), this is used to find k.

\(t = k\frac{l}{m}\)

\(3 = k\frac{90}{15}\)

\(6k = 3\)

\(k = \frac{3}{6}\)

\(k = 0.5\)

Thus:

\(t = 0.5\frac{l}{m}\)

16 men, 48m long, thus \(l = 48, m = 16\), and the time is:

\(t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5\)

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

x= 3.5 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

11/12

Step-by-step explanation:

Answer:

Exact form:

11/12

decimal form:

0.9616

*6 repeated

Step-by-step explanation:

The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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Answer:

-13/2x

Step-by-step explanation:

1/2x +(−7x)

Combine Like Terms:

12x +(−7x)

(1/2x +−7x)

−13/2x