The formula f=5280m can be used to convert a measurement of f feet to an equivalent measurement m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles?

A. 4 miles
B. 5.3 miles
C. 111, 513, 600 miles
D. 132, 620, 600 miles

Answers

Answer 1

the answer is a
21,120/5280=4

Related Questions

A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?

Answers

that would be 12 min. per mile

Given the following triangle, if c = 17 and a = 15, find the measure of A. 28° 41° 62°

Answers

I'm not sure if it's a right triangle, but if not then you can use side-angle-side (SAS). No wait we don't have an angle, so it must be a right triangle (has a 90° angle).
Using trig, a is the side opposite A, and c is the hypotenuse.
Therefore using SOH-CAH-TOA, sin < = O/H = opposite/hypotenuse:
So sin A = 15/17 = 0.882
[tex]So \: arcsin \: ( {sin}^{ - 1} ) \: of \: 0.882 \: = a[/tex]
A = 61.92° = 62°

Jay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which fuction can be used to find the number of rides he went on?

Answers

The function to find the number of rides Jay went on is [tex]$ 10.50 + 4.50x = 46.50 $[/tex]

Let x be the number of rides Jay went on.

The cost of the entrance fee is $10.50, and the cost per ride is $4.50. The total amount Jay spent is $46.50. The equation representing this scenario is:

[tex]\[10.50 + 4.50x = 46.50\][/tex]

To find the number of rides, you can solve for x:

1. Subtract the entrance fee from the total amount:

[tex]\[ 46.50 - 10.50 = 36.00 \][/tex]

2. Divide by the cost per ride:

[tex]\[ \frac{36.00}{4.50} = 8 \][/tex]

So, Jay went on 8 rides.

The function to find the number of rides x is:

[tex]\[f(x) = 10.50 + 4.50x\][/tex]

Setting this equal to the total expenditure ($46.50), the function to find x is:

[tex]\[10.50 + 4.50x = 46.50\][/tex]

A bag contains 20 red tickets and 12 blue tickets. What is the probability of randomly selecting a blue ticket from the bag? A. 4/5 B. 3/11 C. 3/8 D. 1/2

Answers

Okay. So, there are 12 blue tickets and 20 red tickets, which makes 32 total tickets in the bag. 12/32 tickets in the bag are blue, and we can simplify that fraction. 12/32 is less than 1/2, so A and D are both eliminated. 12/32 is 3/8 simplified. There is 3/8 of a chance that a blue ticket will randomly be selected from the bag. The answer is C.

Let x have a poisson distribution with a variance of 3. find p(x = 2).

Answers

Since the variance of a Poisson distribution with rate parameter [tex]\lambda[/tex] is [tex]\lambda^2[/tex], we know that [tex]\lambda=\sqrt3[/tex]. So,

[tex]\mathbb P(X=2)=\dfrac{e^{-\sqrt3}(\sqrt3)^2}{2!}=\dfrac3{2e^{\sqrt3}}\approx0.2654[/tex]

Final answer:

The probability that a Poisson random variable X equals 2, given that its variance is 3, is approximately 0.2240.

Explanation:

The student asks about finding the probability that a Poisson random variable X takes on a value exactly equal to 2, given that the variance of X is 3. We know for a Poisson distribution, the variance is equal to its mean, which is denoted by λ (lambda). Therefore, λ = 3.

Using the formula for the Poisson probability mass function (PMF), P(X = k) = (e^(-λ) * λ^k) / k!, we can calculate P(X = 2). Substituting λ = 3 and k = 2, we have:

P(X = 2) = (e^(-3) * 3^2) / 2! = (0.0497871 * 9) / 2 = 0.224041.

We can round this probability to four decimal places:

P(X = 2) ≈ 0.2240.

Find the solution of the given initial value problem y'+2/ty=cost/t^2

Answers

[tex]y'+\dfrac2ty=\dfrac{\cos t}{t^2}[/tex]
[tex]t^2y'+2ty=\cos t[/tex]
[tex](t^2y)'=\cos t[/tex]
[tex]t^2y=\sin t+C[/tex]
[tex]y=\dfrac{\sin t+C}{t^2}[/tex]

2.1, -2.1, 2 and 2 1/11, -2 from least to greatest show work

Answers

so first, we know negatives are the least. comparing, -2 and -2.1, we can obviously see that -2.1 comes first
so we have -2.1, -2

then, the positives. you have 2.1, 2, and 2 1/11 first we know 2 is the least of them. so now we just need to figure out if 2.1 is greater than or less than 2 1/11. we can convert the decimal to a fraction. so 2.1 is 2 1/10 and 1/10 is greater than 1/11. so it goes 2, 2 1/11, 2.1

then putting it all together: -2.1, -2, 2, 2 1/11, 2.1

If the CPI (consumer price index) of 141 increased 8.3 % this year. What was the end of year CPI?

Answers

If the CPI increased by 8.3%, therefore this means that there was a fractional increase of 0.083. So amount increased is:

CPI increase = 141 * 0.083 = 11.703

Therefore the end of year CPI is the sum of the original and the increase:

end of year CPI = 141 + 11.703 = 152.703

Answer:

152.703

The formula for glue says to add 50ML
of hardener to each container of resin. How much hardener should be added to 15 containers of resin?

Answers

Since it's 50mL of hardener added in ONE container of resin, you multiply 50 and 15
50mL times 15= 750mL
Hope this helps.

Final answer:

To find out the total hardener needed for 15 containers of resin, multiply 15 by the amount per container, 50ML, which equals 750ML of hardener in total.

Explanation:

To calculate the total amount of hardener needed for 15 containers of resin, we use a simple multiplication. We have been given that each container requires 50ML of hardener. Therefore, we multiply the number of containers by the amount of hardener needed per container.

Calculation:
Number of containers × Amount of hardener per container = Total amount of hardener
15 containers × 50ML/container = 750ML

Thus, for 15 containers of resin, you would need to add a total of 750ML of hardener.

Is the relationship between the temperature scales proportional

Answers

A proportional relationship would look like y=mx (no y-intercept).

The formula for temperature Fahrenheit involves an offset (y-intercept); this is one reason I claim that the relationship in question is NOT proportional.

The knife shown below is 14 inches long. write an algebraic expression that represents the length of the blade (in inches).

Answers

let the variable h be handle....and b be the blade
14-h=b hope this helped

The required algebraic expression for the length of the blade is x = 14 - h.

Given that,

The knife shown below is 14 inches long.
To write an algebraic expression that represents the length of the blade (in inches).

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here let the length of the blade of the knife be x,
length of the knife handle be h
Here the total length of the knife is 14 inches
So,
The total length of the knife = length of the blade + length of the handle
14 = x + h
x = 14 - h

Thus, the required algebraic expression for the length of the blade is x = 14 - h.

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The points at x equals=_______ and xequals=_______ are the inflection points on the normal curve

Answers

We know that the probability density function of a variable that is normally distributed is f(x) = 1/(σ√2π) * exp[1/2 (x – µ). Its inflection point is the point where f"(x) = 0.
Taking the first derivative, we get f'(x) = –(x–µ)/(σ³/√2π) exp[–(x–µ)²/(2σ²)] = –(x–µ) f(x)/σ².
The second derivative would be f"(x) = [ –(x–µ) f(x)/σ]' = –f(x)/σ² – (x–µ) f'(x)/σ² = –f(x)/σ² + (x-µ)² f(x)/σ⁴.
Setting this expression equal to zero, we get
–f(x)/σ² + (x-µ)² f(x)/σ⁴ = 0
Multiply both sides by σ⁴/f(x):
–σ² + (x-µ)² = 0
(x-µ)² = σ²
x-µ= + – σ
x = µ +– σ
So the answers are x = µ – σ and x = µ + σ.

The volume of 10000 drops of liquid is 10 fluid ounces what iscthe volume of 10 drops

Answers

What we know:
-volume of 10,000 drops is 10 fluid ounces

Step 1: Divide 10,000 by 10 (to find how much we need to divide 10 by to get our answer)

10,000/10=1,000

Step 2: Divide 10 by 1,000 (to find our answer)

10/1,000=0.01

Our answer is 0.01. The volume of 10 drops of liquid is 0.01 fluid ounces.

The volume of 10 drops of liquid is approximately 0.0001 fluid ounces.

To find the volume of 10 drops of liquid, we can use the given information that the volume of 10000 drops is 10 fluid ounces. Let's set up a proportion to solve for the volume of 10 drops.

Let V be the volume of 10 drops in fluid ounces.

We know that the volume of 10000 drops is 10 fluid ounces, so we can write:

10,000 drops / V = 10 fluid ounces / 10 drops

Now, cross-multiply and solve for V:

10,000 drops * 10 drops = 10 fluid ounces * V

100,000 drops² = 10 fluid ounces * V

Now, divide both sides by 100,000 drops^2 to solve for V:

V = 10 fluid ounces / 100,000 drops^2

V ≈ 0.0001 fluid ounces

Therefore, the volume of 10 drops of liquid is approximately 0.0001 fluid ounces.

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What is the product
3/8 * (-3/6)
Enter your answer as a fraction, in simplified form, please

Answers

the answer is -3/16.

The answer is simply -1/8

How Much Water Can Be Held By A Cylindrical Tank With A Radius Of 12 Feet And A Height Of 30 Feet

Answers

The answer is 13,571.68 feet ^3 of water

The tank is a cylinder. The volume formula for a cylinder is V=pir^2h. So plug in the information.
V= (3.14)(12^2)(30)
12 squared or 12x12 is 144.
V=(3.14)(144)(30)
Multiply the 3 numbers.
13,564.8 is the product.
So the volume of the Cylindrical tank is 13,564.8.
If you are still don't understand I can help more:)

Find three consecutive odd integers whose sum is 87

Answers

x + (x + 2) + (x + 4) = 87
3x + 6 = 87
3x = 81
x = 27

The numbers are 27, 29, and 31

Step-by-step explanation: Three consecutive odd integers are represents as follows.

X ⇒ first integer

X + 2 ⇒ second integer

X + 4 ⇒ third integer

Since the sum of these is 87, our equation reads X + X + 2 + X + 4 = 87.

Simplifying on the left, we get 3x + 6 = 87.

Subtracting 6 from both sides, 3x = 81.

Now divide both sides by 3 and x = 27.

Since x, our first odd integer is 27, our next consecutive odd integer will be X + 2 or 27 + 2 which is 29 and X + 4 would be 31.

Q: Write the slope intercept form of the equation of the line through the given point with the given slope.
Both problems; provide an explanation, please! Thank you!

Answers

6)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 2}}\quad ,&{{ -1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 0 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=0(x-2) \\\\\\ y+1=0\implies \boxed{y=-1}[/tex]

8)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 5}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=3(x-5) \\\\\\ y-1=3x-15\implies y=3x-15+1\implies \boxed{y=3x-14}[/tex]

____ as 9 hundreds is 9 thousands

Answers

Ten as 9 hundreds is 9 thousands.

What is place value?

Place value is the value of each digit in a number.

For example 5 in 350 is 5 tens or 50.

The given digit is 9 thousand which can be written as 9,000

It can be written as,

9,000 = 9 x 1000

or,9,000 = 9 x 10 x 100

So, for require 9 hundreds multiplying 9 by 100 in the above expression

9,000 = 10 x 900

which can be described as Ten as 9 hundreds is 9 thousand.

Hence, ten as 9 hundreds is 9 thousands

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10 as 9 hundreds is 9 thousands.

How to Obtain place values from a given number ?

Suppose a number 12345 is given this can be written as

10000 + 2000 + 300 + 40 + 5 if we sum up all these we will get back our given number.

Now if we are asked what is the place value of 2 & 4

So, the place value of 2 in the given number is 2000 & the place value of 4 is 40.

Place value is defined as the value based on the position of that number whether it's in thousand's place or ten's or in 1's place.

In the given question

___ as 9 hundreds is 9 thousand

⇒ ____ as 900 is 9000

if we divide 9000/900 = 10 we will get our answer.

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What is the solution of the proportion 5/x+4=3/x-2

Answers

Solve the rational equation by combining the expressions and isolating the variable X so X= -1/3

a person leaves their house to go to the store. it takes 15 minutes at 12 mph to get to the store. They return home at 31 mph. What is the average rate of the speed for the entire trip?

Answers

[tex]\bf \cfrac{\stackrel{speed~forth}{12}+\stackrel{speed~back}{31}}{\stackrel{interval~forth}{1}+\stackrel{interval~back}{1}}\implies \cfrac{43}{2}\implies 21.5mph\textit{ on average}[/tex]

How many pounds-mass per cubic foot is 40 grams per cubic centimeter?

Question 1 options:
500 lbm/ft^3
3,200 lbm/ft^3.
2,500 lbm/ft^3
1,200 lbm/ft^3

Answers

Final answer:

To convert grams per cubic centimeter to pounds-mass per cubic foot, you can use the conversion factors. By applying the conversion factors of 1 lb = 454 g and 1 ft³ = (30.5 cm)³, you can calculate that 40 grams per cubic centimeter is equal to 500 pounds-mass per cubic foot.

Explanation:

To convert grams per cubic centimeter to pounds-mass per cubic foot, we need to use conversion factors. Firstly, we need to convert grams to pounds by using the conversion factor 1 lb = 454 g. Then, we convert cubic centimeters to cubic feet by using the conversion factor 1 ft³ = (30.5 cm)³. Finally, we combine the two conversion factors to find the desired unit: pounds-mass per cubic foot.

Given:

40 grams per cubic centimeter

Conversion factor:

1 lb = 454 g1 ft³ = (30.5 cm)³

Calculation:

40 g/cm³ * (1 lb/454 g) * [(30.5 cm)³/1 ft³] = 40 * 1/(454 * (30.5)³) lb/ft³

Simplifying the calculation gives:

40/(454 * (30.5)³) lb/ft³ = 500 lbm/ft³

Therefore, 40 grams per cubic centimeter is equal to 500 pounds-mass per cubic foot.

The ray GJ is the angle bisector of angle FGH and Measurement FGH =50 degrease what is the measurement of angle FGJ

Answers

check the picture below.

if FGH is 50°, then its angle bisector will cut it into two equal halves.

If ray GJ is an angle bisector of ∠FGH, it cuts the ∠FGH into two equal angles making ∠FGJ = 25° and ∠HGJ=25° for a sum of 50°.

∠FGJ=25°

Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons

Answers

Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons of garbage? 3.30C2O K9.

Answer:58 metric ton

Step-by-step explanation:

Given

Fifty eight thousand kilogram of solid waste

We need to convert it into metric tons

and we know 1 metric ton is equivalent to one thousand kilogram i.e. 1000 kg

so 58,000 kg is equivalent to 58 metric ton

in six years, clem kadiddlehopper will be 5 times as old as he was 26 years ago how old is he now?

Answers

x=clem's age now
in 6 years, he will be x+6 years old
that is 5 times as old as 26 years ago or when he was x-26 years old

so
x+6=5(x-26)
distribute the 5
x+6=5x-130
minus x both sides
6=4x-130
add 130 from boths ides
136=4x
divide both sides by 4
34=x
x=34
he is 34 now

Final answer:

The question involves setting up an equation to determine Clem Kadiddlehopper's current age based on his age in six years and 26 years ago. By solving the equation x + 6 = 5(x - 26), we find that Clem is currently 34 years old.

Explanation:

The question asks us to determine Clem Kadiddlehopper's current age based on information about his age in future and past years. Let's define Clem's current age as x years old.

In six years, he will be x + 6 years old. It is stated that in six years, Clem will be five times as old as he was 26 years ago. Since 26 years ago he was x - 26 years old, we can write the equation: x + 6 = 5(x - 26).

To find Clem's age, we will solve the equation:

x + 6 = 5(x - 26)x + 6 = 5x - 1304x = 136x = 34

Therefore, Clem Kadiddlehopper is currently 34 years old.

Which of the following sets shows all the numbers from the set {2, 3, 4, 5} that are part of the solution to the inequality 4n + 6 > 22?

Answers

The answer is 5 only
4(5)+6= 26
26>22

The answer is 5 only.
Well, in this type of question, we just simply need to find the value of n

4n + 6 > 22

4n > 22 - 6

4n > 16

n > 4

From the set, the only number that bigger than 4 is 5.

For proof:
- first, try to replace n with 4
4 (4) + 6 > 22
22 > 22 ..................................Wrong

- then we can try to replace n with a number that is bigger than 4
4(5) + 6 >22
26 > 22 ..................................Correct

what is 50 divided by 2.5 divided by 0.04

Answers

50 divided by 2.5 = 20
20 divided by .04 = 500

The value of the 50 divided by 2.5 divided by 0.04 is equal to 500.

To calculate 50 divided by 2.5 divided by 0.04, should follow the order of operations,

which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

However, there are no parentheses or exponents in this expression, so we can proceed directly to multiplication and division:

50 ÷ 2.5 ÷ 0.04

First, divide 50 by 2.5:

50 ÷ 2.5 = 20

Next, divide the result (20) by 0.04:

20 ÷ 0.04 = 500

Therefore, 50 divided by 2.5 divided by 0.04 equals 500.

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In a right triangle, he measure of one acute angle is 3 times the sum of the other acute angle and 8, Find the measure of angle 1 and 2

Answers

Let the acute angles be x and y respectively. x= 3(y+8).

The sum of the interior angles of a triangle is always 180 degrees. Therefore, 90 + y + 3(y+8) = 180, and so y + 3y + 24 = 90 => 4y= 66, and y = 66/4 = 16.5 degrees.

Let's check: If we're right, then y + 3(y+8) = 90
16.5 + 3(16.5 + 8) = 90 ?
Yes. (check it yourself)

Thus, the 3 angles of this right triangle are 90, 16.5 and 73.5; they add up to 180 degrees.

The measure of angles 1 and 2 are 16.5 and 73.5 respectively.

The sum of the two acute angles is complementary.

Let the complementary acute angles be x and y

Since they form a right angle triangle, hence;

x + y = 90 ............................. 1

If the measure of one acute angle is 3 times the sum of the other acute angle and 8, this is expressed as x = 3(y + 8)

Substitute the value of x into the equation 1 as shown:

3(y+8) + y = 90

3y + 24 + y = 90

4y + 24 = 90

4y = 90 - 24

4y = 66

y = 66/4

y = 16.5

Get the other acute angle:

x = 90 - y

x = 90 - 16.5

x = 73.5 degrees

Hence the measure of angles 1 and 2 are 16.5 and 73.5 respectively.

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In the last two years, Mari grew 2 1/4 inches, Kim grew 2.4 inches, and Kate grew 2 1/8 inches. Write the amounts they grew in order from least to greatest

Answers

First, let's turn the fractions into decimal form so you can see the answer, more clearly.
2 [tex] \frac{1}{4} [/tex] = 2.25
2.4 = 2.4
2 [tex] \frac{1}{8} [/tex] = 2.125

Now, after looking at the decimals, we can see which decimals are the biggest. They would order, from least to greatest, like this.
1) 2.4
2) 2.25
3) 2.125

I hope this helps!

Answer:

[tex]\text{Growth in Kate}<\text{Growth in Mari}<\text{Growth in Kim}[/tex]

Step-by-step explanation:

We are given the following information in the question:

Growth in Mari =

[tex]2\displaystyle\frac{1}{4}\text{ inches} = \frac{2\times 4 + 1}{4} = \frac{9}{4} = 2.25\text{ inches}[/tex]

Growth in Kim =

2.4 inches

Growth in Kate =

[tex]2\displaystyle\frac{1}{8}\text{ inches}= \frac{2\times 8 + 1}{8} = \frac{17}{8} = 2.125\text{ inches}[/tex]

Growth in order from least to greatest:

[tex]2.125<2.25<2.4\\\text{Growth in Kate}<\text{Growth in Mari}<\text{Growth in Kim}[/tex]

A building casts a 250 meter long shadow at the same time a nearby post 6 meters high casts a shadow 30 meters long what is the height of the building

Answers

check the picture below.

What is the inverse of the function f(x) = 2x – 10?

Answers

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

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The formula f=5280m can be used to convert a measurement of f feet to an equivalent measurement m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles? A. 4 miles B. 5.3 miles C. 111, 513, 600 miles D. 132, 620, 600 miles

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The formula f=5280m can be used to convert a measurement of f feet to an equivalent measurement m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles?

A. 4 miles
B. 5.3 miles
C. 111, 513, 600 miles
D. 132, 620, 600 miles