Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.

a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.

b) Indicate on your table or graph where the amount of snow will be the same at both resorts.

Answers

Answer 1

Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

Ski Resort

[tex]Base\ Snow = 75in[/tex]

[tex]Rate = 1in[/tex] hourly

Mt. Winterpark

[tex]Base\ Snow = 68in[/tex]

[tex]Rate = 2in[/tex] hourly

First, we need to illustrate the amount of snow as an equation in both cases.

[tex]Amount = Base\ Snow + Rate * Time[/tex]

Let x be number of hours. and y be the amount of snow

So:

Ski Resort

[tex]y= 75 + 1* x[/tex]

[tex]y= 75 + x[/tex]

Mt. Winterpark

[tex]y= 68 + 2 * x[/tex]

[tex]y= 68 + 2x[/tex]

Next, we make a table to show the data.

When [tex]x = 0[/tex]

Ski Resort: [tex]y = 75 + 0 = 75[/tex]

Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]

When [tex]x = 1[/tex]

Ski Resort: [tex]y = 75 + 1 = 76[/tex]

Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]

When [tex]x = 2[/tex]

Ski Resort: [tex]y = 75 + 2 = 77[/tex]

Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]

When [tex]x = 3[/tex]

Ski Resort: [tex]y = 75 + 3 = 78[/tex]

Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]

When [tex]x = 4[/tex]

Ski Resort: [tex]y = 75 + 4 = 79[/tex]

Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]

When [tex]x = 5[/tex]

Ski Resort: [tex]y = 75 + 5 = 80[/tex]

Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]

When [tex]x = 6[/tex]

Ski Resort: [tex]y = 75 + 6 = 81[/tex]

Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]

When [tex]x = 7[/tex]

Ski Resort: [tex]y = 75 + 7 = 82[/tex]

Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]

When [tex]x = 8[/tex]

Ski Resort: [tex]y = 75 + 8 = 83[/tex]

Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]

When [tex]x = 9[/tex]

Ski Resort: [tex]y = 75 + 9 = 84[/tex]

Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]

When [tex]x = 10[/tex]

Ski Resort: [tex]y = 75 + 10 = 85[/tex]

Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches


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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answers:1.) [tex]\bold{y=5}[/tex]2.) [tex]\bold{y=3}[/tex]3.) [tex]\bold{y=1}[/tex]4.) [tex]\bold{y=-1}[/tex]

Solution Steps:

______________________________

1.) To figure out y, you have to plug in the x value into the equation given:

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2.) To figure out y, you have to plug in the x value into the equation given:

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3.) To figure out y, you have to plug in the x value into the equation given:

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______________________________

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Option A: (5,0)

Step-by-step explanation:

Given

[tex]y \leq \frac{2}{5}x-2[/tex]

Required

Select an ordered pair

Option A: (5,0)

This means

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Option B: (0,5)

This means

[tex]x = 0[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* 0 -2[/tex]

[tex]5 \leq 0 -2[/tex]

[tex]5 \leq -2[/tex]

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Option C: (-2,5)

This means

[tex]x=-2[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* -2 -2[/tex]

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Answer:

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Answers

Answer:

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Step-by-step explanation:

85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15

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Answers

Answer:

Step-by-step explanation:

tan(16)=125/a

tan(16)=35.8 (DC)

tan(7)=125/a

tan(7)=15.3

35.8-15.3=20.5

Sorry if that's incorrect, my best is 20.5 feet.

Answer:   approximately 582 feet.

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

Work Shown:

Let

x = length of AD in feet

y = length of DC in feet

x and y are positive real numbers.

For now, focus on triangle BCD. Ignore point A and its associated angle.

tan(angle) = opposite/adjacent

tan(D) = BC/DC

tan(16) = 125/y

y*tan(16) = 125

y = 125/tan(16)

y = 435.926805480113

y = 435.926805

The value of y is approximate

Now focus on triangle ABC. Ignore point D and its associated angle.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = BC/(AD+DC)

tan(7) = 125/(x + y)

(x+y)*tan(7) = 125

x*tan(7) + y*tan(7) = 125

x*tan(7) = 125 - y*tan(7)

x = ( 125-y*tan(7) )/( tan(7) )

x = ( 125-435.926805*tan(7) )/( tan(7) )

x = 582.116498496824

x = 582

The distance from A to D is approximately 582 feet.

A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 100 items, 55 are defective. The lower bound of a 99% confidence interval for the proportion of defectives is ________.

Answers

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion [tex]\hat p[/tex]

[tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{55}{100}[/tex]

[tex]\hat p[/tex] = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

[tex]Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576[/tex]

Then the margin of error [tex]E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}[/tex]

[tex]E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}[/tex]

[tex]E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}[/tex]

[tex]E = 2.576 \times0.04975[/tex]

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: [tex]\hat p - E[/tex]

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.

Answers

Answer:

5(6x+9)

Step-by-step explanation:

(30x+45)

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45=(5)9

5(6x+9)

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Answers

Answer:

The answer is 11

Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?

Answers

Answer:

40 years old

Step-by-step explanation:

If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.

15 / 3 = 5 years

5 years = 1/8

Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.

5 years * 8 = 40 years old

find the values of a,b, or c for y = x^2 - 9x +18 please help!!

Answers

Answer:

It's X^1 = 3, x^2 =6  

Step-by-step explanation:

Solve.
6x - 28 =-76. X=

Answers

6x-28=-76
+28 +28
6x = -48
-48 divided by 6
X=-8

Answer:

6x-28+28=-76+28

6x=-48

6x÷6=x

-48÷6 =-8

x=-8

Step-by-step explanation:

correct me or wrong


Which choice could be used in proving that the given triangles are similar?

Answers

Answer: . To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent

Step-by-step explanation:

SSS similarity postulate

The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.

In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.

i.e.

Then by SSS-similarity criteria , we have

ΔABC ≈ ΔXYZ

BRAINLIEST PLEASE????

Answer: the answer is A

Step-by-step explanation: I just took it on usa test prep

The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?

Answers

Answer:

No

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

pls help will give brianlist

Answers

Answer:

Not equivalent

Step-by-step explanation:

5:3

15:12 simplified = 5:4

Answer:

They6 are. Not equivalent because you always have to multiply/ divide the ratios by the same number thats on the top and the bottom.

Step-by-step explanation:

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