For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric

temperature in degrees Fahrenheit,a is the altitude, in feet, at which the atmospheric temperature is

measured and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the

atmospheric temperature is -30.5 °F and the ground temperature is 50 °F, what is the altitude?

The equation for a is a =

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then

feet

a =

Answers

Answer 1

Answer:

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

t is the atmospheric  temperature in degrees Fahrenheita is the altitude, in feet, at which the atmospheric temperature is  measured g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

[tex]a=\frac{t-g}{-0.0035}[/tex]

[tex]a=-\frac{2000}{7}*(t-g)[/tex]

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

[tex]a=-\frac{2000}{7}*(-305-50)[/tex]

[tex]a=-\frac{2000}{7}*(-355)[/tex]

a= 101,428.57

The altitute is 101,428.57 feet


Related Questions

Find the length of the missing leg in the following triangle

Answers

Answer:

9

Step-by-step explanation:

a² +b²=c²

a²+40²=41²

a²=41²-40²

a²= 81

[tex] \sqrt{ {a}^{2} } = \sqrt{81} [/tex]

a=9

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Answers

Question:

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Given:product of their ages=154Brad is 3 years older than FrancisLet:Age of Francis be xAge of Bard be x+3

Answer:

A/Q:

Age of Bard× Age of Francis=154

x×(x+3)=154

x²+3x=154

Let's split 3x into +14x and -11x

x²+3x-154=0

x²+14x-11x-154=0

x(x+14)-11(x+14)=0

(x-11)(x+14)=0

x=11

x=-14

So we aren't taking ages in negetive

.°.x=11

As we know in starting we have take x as Financis age

.°. Francis age=11✔

We know Brad is 3 years older than Francis

.°. Brad age=x+3

Brad age=14✔_____________________

With regards!

Dull Star

Please help me ! Find y

Answers

109° as an icoloces triangle (you can tell by the two lines) has 2 identical angels so the two bottom angels are the same and the angels on a straight line add up to 180°
180° - 71° = y(109°)

Petrarch believed Christian scholars should _____.

ignore writers of pagan Rome
study writers of pagan Rome
argue against the writers of pagan Rome
discourage people from reading writers of pagan Rome

Answers

Answer:

study writers of pagan Rome

Step-by-step explanation:

Petrarch believed Christian scholars should study writers of pagan Rome. Option (b) is correct.

What do you mean by Writer?

A writer is someone who writes books, articles, stories, etc., sometimes as a job or a vocation.

Francesco Petrarca, often known as Petrarch, was an Italian philosopher, poet, and one of the first Humanists. He lived from July 20, 1304, to July 19, 1374. The 14th-century Renaissance is frequently regarded with having started as a result of Petrarch's rediscovery of Cicero's letters. Humanism is frequently credited with having its roots in Petrarch. During the Renaissance, Petrarch's sonnets were appreciated, emulated, and used as a template for lyrical poetry all over Europe. Based on Petrarch's writings, Pietro Bembo developed the framework for the modern Italian language in the 16th century.

Therefore, Option (b) is correct. Petrarch believed Christian scholars should study writers of pagan Rome.

Learn more about Writer, here;

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Which of the following is equal to the opposite of −45?

−|45|
−|−45|
−(−45)
−45








Which of the following statements does not represent the same value as the others?

the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9











All of the following are true statements except _____.

|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93













If you move from zero to 15 on the number line, you are representing all of the following except _____.

the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15














All of the following expressions are equal to N except _____.

−(− N )
− N
| N |
|− N |

Answers

Answer:

The first one

Step-by-step explanation:

1. -(-45)
2. “The opposite of 9”
3. -93
4. “ the opposite of 15”
5. -N

Please help will mark brainliest ! Sampling methods

Answers

Answer:

i think it is b

Step-by-step explanation:

Answer:

a to e

Step-by-step explanation:

Written as a rate 210 miles in 6 hours would be miles per hour

Answers

Answer:

35 mph

Step-by-step explanation:

210/6=35

Graph the line Y-3=-1/5(x+2)

Answers

Answer:

Did you know im cracked at fortnite

Step-by-step explanation:

First I do my 90s then double edit simple math pretty ez.

El siguiente diagrama indica el número de comidas al día que hace un grupo de quince amigos:

Answers

Answer:

?

Step-by-step explanation:

6. Copy and complete this table to show
equivalent values.

Answers

Answer:

Step-by-step explanation:

1. Decimal: 0.25 Fraction: 1/4

2. Percent 50% Decimal: .5

3. 15% Fraction: 15/100

Evelyn bought 8.4 gallons of gas for $23.94. what equation can be used to determine the price of each gallon of gas?

Answers

Answer:the equation would be

8.4x=23.94

Step-by-step explanation: I know my math :)

On the graph paper, plot a point A (-2,-2).Reflect the point A in x-axis and y-axis. Let these points be B and C. Find the measure of angle BAC​

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.

  m∠BAC = 90°

A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 60-meter head start with the hare. When they passed their respective starting points the hare was running at a constant speed of 3.6 meters per second and the tortoise was crawling at a speed of 0.7 meters per second. (They both maintained these speeds for the entire race.) Our goal is to determine who won the race. Take out a piece of paper and read the above problem statement again. In a couple of sentences, describe how you might determine who won the race. Construct a drawing to represent the 100-meter length of the track. Then place the tortoise and hare's starting points on the track. Define the variable t to represent the number of seconds since the start of the race.

Answers

Answer:

Hare wins the race

Step-by-step explanation:

Length of track = 100 m

Let t represent the number of seconds in completing the race.

Speed of tortoise = 0.7 m/s

Distance covered by tortoise in t seconds = Speed \times time = 0.7t

We are given that The tortoise negotiated a 60-meter head start with the hare.

So, Distance covered by tortoise in t seconds = 60+0.7t

Speed of hare = 3.6 m/s

Distance covered by hare in t seconds = 3.6 t

Now

3.6t = 100

[tex]t=\frac{100}{3.6}[/tex]

t=27.77

60+0.7t=100

[tex]t=\frac{100-60}{0.7}[/tex]

t=57.14

So, Hare took less time

So, Hare wins the race

What is a factor of 12

Answers

Answer:

2 x 3 (prime number, 2 distinct)

Step-by-step explanation:

उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?​

Answers

Answer:

The magnitude of the velocity will be 60 m/s.

The distance covered is 3,600 m

Step-by-step explanation:

Constant Acceleration Motion

It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at[/tex]

The distance traveled by the object is calculated as:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}[/tex]

The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:

[tex]v_f=0+0.5\cdot 120=60 \ m/s[/tex]

The magnitude of the velocity will be 60 m/s.

The distance covered during that time is:

[tex]\displaystyle x=0+\frac{0.5\cdot 120^2}{2}[/tex]

[tex]\displaystyle x=\frac{7,200}{2}[/tex]

x = 3,600 m

The distance covered is 3,600 m

What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1

Answers

Answer: the answer is 190 to the power of 7

Step-by-step explanation:

so u just have to multiply by 35 and u will get the answer

Answer:

4

Step-by-step explanation:

(-3) -2 -1 0 1 (2)

that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).

The lines Graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line.​

Answers

Answer:

C

Step-by-step explanation:

The slope is 3. A perpendicular line has the complete opposite of the other. So if it is -1/3 slope for one line, the perpendicular line would be 3/1 which simplifies to 3. Hope this helps!

A cougar jumped a distance of 13 yards. How many inches did this cougar jump?​

Answers

Answer:

468 in

Step-by-step explanation:

Step 1: Define conversions

3 feet = 1 yard

1 foot = 12 inches

Step 2: Use dimensional analysis

[tex]13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )[/tex] = 468 inches

need help with math questions ​

Answers

Well l am going to tell you what l think.

Step-by-step explanation:

Nos 1 is an equilateral triangle because it has 3 angles and 3 sides and it's equal to 180°,one angle is 60°.

Nos 2 is an isosceles triangle because it has 2 angles and 2 sides.

A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples, plus two more. The prince gave him the apples and set off again. A little further on, a second troll guard stopped the prince and demanded payment of one-half of the apples the prince now had, plus two more. The prince paid the troll and set off again. Just before leaving the enchanted orchard, a third troll stopped the prince and demanded one-half of his remaining apples plus two more. The prince paid him and returned home. He had only two golden apples left. How many apples did the prince pick?


How does the problem change if there happened to be 4 trolls Instead Of 3? If the Prince still ends up with two apples, how many did he start with?

Answers

Answer:

How many apples did the prince pick?

the prince ended up with 2 apples:

the number of apples he had before meeting the third troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the second troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the first troll = (14 x 2) + 2 = 30 apples

the prince picked 30 golden apples

How does the problem change if there happened to be 4 trolls Instead of 3? If the Prince still ends up with two apples, how many did he start with?

you must add one more troll into the sequence:

the number of apples he had before meeting the fourth troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the third troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the second troll = (14 x 2) + 2 = 30 applesthe number of apples he had before meeting the first troll = (30 x 2) + 2 = 62 apples

the prince picked 62 golden apples

The graph below shows a transformation of y
- 2x
Write the equation for the graph in the comment

Answers

Answer:

[tex]y=-2^{(x+2)}+1[/tex]

Step-by-step explanation:

Equation of the parent function of the graph attached is,

y = [tex]2^{x}[/tex]

Let the equation of the transformed function function shown in the graph be,

y = a(2ˣ) + b

Now we will find the values of a and b by substituting the points lying on the curve.

For (-2, 0),

0 = a(2⁻²) + b

[tex]\frac{a}{4}+b=0[/tex] ------(1)

For (0, -3),

-3 = a(2⁰) + b

a + b = -3 --------(2)

Subtract equation (1) from equation (2),

(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3

[tex]\frac{3a}{4}=3[/tex]

a = -4

From equation (2),

-4 + b = -3

b = 1

Therefore, equation of the transformed function will be,

[tex]y=-4(2^x)+1[/tex]

[tex]y=-2^{2}(2^x)+1[/tex]

[tex]y=-2^{(x+2)}+1[/tex]

Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.

Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]

Here,  equation of original graph is given, [tex]y=2^{x}[/tex]

Let us consider, equation of transformed graph is,  [tex]y=m(2^{x} )+n[/tex]

Since, given graph passing through points (-2,0) and (0,-3)

Substituting above points into equation.

We get two equation,

                                      m +4n = 0

                                     m + n = -3

After solving, we get   m= -4 and  n = 1

So, equation becomes  [tex]y=-2^{x+2}+1[/tex]

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Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak

Answers

Answer:

4 glasses

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive?

Answers

Answer:

[tex]Each = \frac{4}{15}[/tex]

Step-by-step explanation:

Given

[tex]Fraction = \frac{4}{5}[/tex]

[tex]Teachers = 3[/tex]

Required

Determine fraction of each teacher

Each fraction is calculated by dividing total fraction by number of teachers as follows:

[tex]Each = \frac{Fraction}{Teachers}[/tex]

[tex]Each = \frac{4}{5}/3[/tex]

[tex]Each = \frac{4}{5} * \frac{1}{3}[/tex]

[tex]Each = \frac{4}{15}[/tex]

(4/5) / 3 =

4/5 * 1/3 =

4/15 <== each teacher received 4/15 of a flat

Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.)

(0, -2)
(5, -5)
(-3, 4)
(-4, 2)

Answers

Answer:

(0,-2)

(5,-5)

(-3,4)

Answer:(0,-2)(5,-5)(-3,4)

Step-by-step explanation:

H0: μ1 – μ2 = 0 vs. H1: μ1– μ2 ≠ 0
H0: μ1 – μ2 ≠ 0 vs. H1: μ1– μ2 = 0

multiple choice 1
a
b


(b) Specify the decision rule with respect to the p-value.

Reject the null hypothesis if the p-value is
less than
.10.

(c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

tcalc


(d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)

p-value


(e) Make a decision.

We
do not reject
the null hypothesis.

(f) State your conclusion.

We
cannot
conclude that there is a difference between the sizes of homes in the two neighborhoods.

Answers

Answer:

hi

Step-by-step explanation:

Statistical significance at the 0.01 level is __________ than significance at the 0.05 level .

a. less informative
b. more difficult to achieve
c. easier to achieve
d. less costly

Answers

Answer:

d. less costly

Step-by-step explanation:

Statistical significance level is the probability of rejecting the null hypothesis. Statistical significance at the 0.05 level is the standard level for rejecting the null hypothesis.

A significance of 0.01 shows that there is strong evidence to conclude that the null hypothesis is not true. A 0.05 significance is the most used level while 0.01 is used when multiple tests are conducted or when the researcher is not so sure if the null hypothesis should be rejected. It increases the amount of evidence required to prove the null hypothesis and it also reduces the possibility of obtaining a false positive.

A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 400 customers was taken, and 280 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68. What is the probability that the sample proportion \hat{p} is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that \hat{p} is between 0.68 - 0.03 and 0.68 0.03

Answers

Answer:

The sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803

Step-by-step explanation:

Total no. of customers = n = 400

We are given that the true population proportion of customers under age 21 is 0.68.

So, p =0.68

q=1-p=1-0.68=0.32

Standard deviation =[tex]\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.68 \times 0.32}{400}}= 0.023[/tex]

We are supposed to find  the probability that the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that [tex]\hat{p}[/tex]is between 0.68 - 0.03 and 0.68+ 0.03

[tex]P(0.65 < X < 0.71) = P((\frac{0.65-0.68}{0.0233}) < Z < (\frac{0.71-0.68}{0.0233}))[/tex]

Using Z table

[tex]= P(-1.2875 < Z < 1.2875)= 0.803[/tex]

Hence  the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803



If the polygon is rotated 90' clockwise about the origin, the measure of angle W' is

Answers

Answer:

If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).

What’s the correct one?

Answers

Answer: B is the correct answer

Step-by-step explanation: when your symbol is less than it will go to the left and when it is is greater than it will go to the right, and since the symbol is greater than or equal to the circle thingy will be filled in. So, B is the correct answer.

Factor the GCF
12x^2-18x

Answers

Answer:

How to solve your question

Your question is

1

2

2

1

8

12x^{2}-18x

12x2−18x

Grouping

1

Factor out common coefficient factor

1

2

2

1

8

12x^{2}-18x

12x2−18x

6

(

2

2

3

)

6(2x^{2}-3x)

6(2x2−3x)

2

Rewrite in factored form

Solution

6

(

2

3

)

Step-by-step explanation:

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