Mathematics High School

The temperature at sunrise is 40°F. Each hour, the temperature rises 4°F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours. What is the graph of the equation?
Write an equation that models the temperature y, in degrees Fahrenheit, after x hours.

Answers

Answer 1

Answer:

y = 4x + 40

Step-by-step explanation:

At sunrise, 0 hours have passed, meaning x = 0.

When x = 0, the temperature is 40, meaning that 40 is the y-intercept.

And every x hours the temperature rises by 4 degrees F

Related Questions

How much money would produce $70 as simple interest at 3.5% per
annum?

Answers

Answer:

$2000

Step-by-step explanation:

Simple Interest = $70

Rate = 3.5%

Time = 1

Principal = ?

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (70 × 100)/(3.5 × 1)

Principal = 7000/3.5

Principal = 14000/7

Principal = 2000

divide 54 books between A and B in the ratio 13:14

Answers

Answer:

Step-by-step explanation:

i think,

13:14=54

13k+14k=54

27k=54

k=54/27

k=2

13×2=26 and 14×2=28

to verify the correctness of the answer-26+28=56

have a nice day

hope it helps

The ratio of the divide is mathematically given as

26:28

What is the ratio of the divide?

Question Parameters:

divide 54 books between A and B in the ratio 13:14

Generally, ratios are mathematically given as

X=13/27*54

X=26

Y=14/27*54

Y=28

In conclusion, the ratio of the divide would be

26:28

Answers

They are completely opposite of what they are supposed to be. Switch out the ones you have in adjacent for the ones in vertical

simplify leaving your answer in the standard form
[tex] \frac{0.0225 \times 0.0256}{0.0015 \times 0.48} [/tex]

Answers

Answer:

0.8 is the standard form

please answer 100 pt

Answers

Answer:

corresponding angle are:

<1=<5

<2=<6

<7=<3

<8=<4

<1&<5,<2&<6,<7&<3,<8&<4are pair corresponding angle.

Answer:

Step-by-step explanation:

corresponding angles are two angles at the same point on two parallel lines cut by a transversal.

so 1 n 5 are corresponding angles

so are 2 n 6, 3 n 7 & 4 n 8

Sara had 27 peaches and 11 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick

Answers

Answer:

Step-by-step explanation:

sara had 27 peaches when she left the stand. when she returns the total number of peaches is 63. So to find the answer you take 63 and subtract it by 27 to get your answer.

It’s 36 trust me I got it right

5 in=? feet fraction form

Answers

Five inches is 5/12 of a foot. To solve this, you need to know that there are 12 inches in a foot.

Plzz its urgent answer my question

Answers

Answer:

the answer is option (b)

good day mate

The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in years. A fossil bone contains 25% of its original carbon-14. What is the approximate age of the bone?

Answers

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)

Where:

[tex]y[/tex] - Current amount of carbon-14, no unit.

[tex]a[/tex] - Initial amount of carbon-14, no unit.

[tex]t[/tex] - Time, in years.

If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:

[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]

[tex]t\approx 11552.453\,yr[/tex]

The approximate age of the bone is approximately 11552 years.

Roy received math test scores of 05, 90, 90, and 85.
7. What is Roy's median test score?
8. What score would Roy need to get on
his next test to have a mean of 92

Answers

Median = 87.5 Sorry about the other one

7. 90

8. I maybe the other p help

Question: The mean birth weight of male babies born to 121 mothers taking a vitamin supplement is 3.67 kilograms (based on New York department of health data). The national average birth weight of male babies 3.39 kilograms.

Discuss the significance of the sample observation given that the probability of observing such a .sample estimated to be 0.0015

Answers

Answer:

The significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )

Step-by-step explanation:

The sample observation which is 121 mothers that take vitamin supplements have male babies with mean weight of : 3.67 kg

while the National average birth weight = 3.39 kg

probability of observing such a sample = 0.0015

Hence the significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )

Triangle CDE, with vertices C(-8,-7), D(-2,-8) and E(-5,-2), is drawn on the coordinate grid below.
What is the area, in square units, of triangle CDE?

Answers

Answer:

Area = 24.75 sqr units

Step-by-step explanation:

You will need these formulas:

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

Midpoint = [tex](\frac{x_{1} + y_{1} }{2} , \frac{x_{2} + y_{2} }{2})[/tex]

Area = b x h

Let us treat CD as the base. Find the length of the base with the distance formula. Use the coordinates for points C & D.

[tex]d = \sqrt{(-2 - (-8))^2 + (-8-(-7))^2}[/tex]

[tex]d = \sqrt{37}[/tex]

The base is [tex]\sqrt{37}[/tex].

The height is the distance between point E and the midpoint of line CD.

Midpoint of CD = [tex](\frac{-8 + (-7) }{2} , \frac{-2 + (-8) }{2})[/tex] = ([tex]-\frac{15}{2}[/tex], [tex]-5[/tex])

Use the distance formula to find the height.

[tex]d = \sqrt{(-5 - (-\frac{15}{2} ))^2 + (-2-(-5))^2}[/tex]

[tex]d = \frac{\sqrt{61} }{2}[/tex]

Find the area with the two distances that were found.

Area = [tex](\sqrt{37}) (\frac{\sqrt{61} }{2})[/tex]

Area = [tex]\frac{\sqrt{2257} }{2}[/tex]

Area = 24.75 sqr units

12!!! POINTS “what is the mode” question!

Answers

Answer:

The mode is 23

Step-by-step explanation:

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

3x6= 18 then 14000 x 18 = 252,000

Solve the inequality below and identify the correct answer: X - 2<-4

Answers

Answer: x < -2

Explanation: Its really similar to solving an equation, so all I did was add 2 to both sides :)

x - 2 < -4

Add 2

x - 2 + 2 < -4 + 2
x + 0 < -2
x < -2

To graph it would be an open circle above -2 with an arrow pointing to the left

What is the area of this polygon?

Answers

The middle is a square with side length of 12cm

Area of the square = 12 x 12 = 144 cm^2

There are 4 triangles with base of 13cm and height of 8 cm

Area of triangle = 1/2 x base x height

Area = 1/2 x 12 x 8 = 48cm^2 each

48 x 4 = 192 cm^2

Total area = 144 + 192 = 336 cm^2

what is the measure of ∠x?

Answers

Answer:

83°

Step-by-step explanation:

WZ is a straight line. Angles at a straight line add up to 180°.

180 - 97 =83°

A drug company testing a pain medication wants to know the impact of different dosages on patients' pain levels. They recruited volunteers experiencing pain to try one of 666 different dosages and then rate their pain levels on a scale of 111 to 101010. Here are the results: Average pain level 6.06.06, point, 0 5.85.85, point, 8 5.25.25, point, 2 4.94.94, point, 9 3.93.93, point, 9 3.63.63, point, 6 3.53.53, point, 5 Dosage (mg) 000 505050 100100100 150150150 200200200 250250250 300300300 All of the scatter plots below display the data correctly, but which one of them displays the data best?

Answers

Answer: Graph A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct on khan

solving for x, please help

Answers

Answer:

x = 5,-2

Step-by-step explanation:

Multiply the whole equation by 3(x+1) to get rid of the denominator.

[tex] \large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}[/tex]

Then we solve the equation.

[tex] \large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}[/tex]

Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2

What is the measure of ∠x?

Answers

Answer:

117+x=180°(sum of straight line)

Step-by-step explanation:

x=180-117

x=63

It should be 105.

44 + 31 = 75

180 - 75 = 105.

8/6 + (3/8 + x)(2) =

Answers

Answer:

2x+25/12

Step-by-step explanation:

Hope this helps and have a great day!!!!!

does anyone here know how to write negative 1 on there

Answers

Answer:

you fo to the fourth box on there and put - then go to the box after that and put 1

Step-by-step explanation:

sorry if im wrong

Ms. Padilla is ordering art supplies for 90 students. She
orders 8 jars of paint for every 5 students and 10 sketch
pads for every 3 students.
Determine whether each statement about Ms. Padilla's order is true or false.
Select True or False for each statement.
Ms. Padilla orders 40 sketch pads.
O True
O False
оо
Ms. Padilla orders 144 jars of paint.
O True
O False
The ratio of sketch pads to jars of paint in Ms. Padilla's order can be written as
25 : 12
O True
O False
The ratio of jars of paint to sketch pads in Ms. Padilla's order can be written as
4:5.
o
O True
O False

Answers

1. True
2. False
3. False
4. True

Answer:

1. False

Sketch pads ordered: 10(90/3) = 10×30 = 300

2. True

Painting jars ordered: 8(90/5) = 8×18 = 144

3. True

(25×12)/(12×12) = 300/144

25/12 = 300/144 = 2.083..

4. False

Since the previous statement isn't 5:4 and it's true, then this statement is false.

Sami cut 6 and three fourth inches off a long roll of paper if the row 36 and one third inches long how long was the original roll of papers

Answers

Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3 + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12

Joe has 3 1/4 gallons of punch. He adds 1 1/2 quarts of juice to the punch . He drinks 1/4 quarts of punch . Which expression can be used to fine the number of quarts of punch joe has left

Answers

Answer:

13 + 1 1/2 - 1/4

Step-by-step explanation:

1 gallons = 4 quarts

3 1/4 = 13/4 x 4 = 13

Quarts left = original quart + quart added - quart drunk

13 + 1 1/2 - 1/4

What is the theoretical probability of rolling anything other than a two on a fair six sided die?

Answers

Answer:

5/6 probability

Step-by-step explanation:

Help me plz!! I need help and NO FILES PLZZZZZZZ!

Answers

Answer:

EXPLAINATION:

y = mx +b

b = y intercept

Question Progress
boel
21/40 Marks
Find the area of this parallelogram.
13 cm
15 cm
20 cm

Answers

I think the area of the parallelogram is 260 cm squared. You multiply the 13 by the 20 to get 260. You don’t use the 15 because it is at an angle and you can’t get a proper height using it.

Find sin(a) in the triangle.
Choose 1 answer:

Answers

Answer:

sin B sorryonlearning

Over the past month, a garment manufacturer produced 800 dresses. The distribution of the amount of fabric required to make the dresses is

not normal.

The average amount of fabric needed to make a dress is 4 yards, with a standard deviation of 2 of a yard. Suppose a series of samples, each

containing 180 dresses, are selected from the dresses produced in the past month.

Would it be appropriate to model the distribution of a sample mean with a normal model?

Answers

Answer:

Yes it will be appropriate to model the distribution of a sample mean with a normal model

Step-by-step explanation:

Given that the population is not normal, and the sample is sufficiently large, according to the Central Limit theorem, the distribution of the mean pf the sampling distribution will be approximately normal not withstanding the population from which the sample is obtained. Therefore, the mean, [tex]\overline x[/tex], and the standard deviation, [tex]\dfrac{\sigma}{\sqrt{n} }[/tex], of the sample will be equal to the mean, μ, and standard deviation, σ, of the of the population

Therefore, it will be appropriate to model the distribution of a sample mean with a normal model

Answer:

yes

Step-by-step explanation:

i got it right on plato

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