Answer:
(a) At 8,000 ft :
The air temperature is 30.52 °F
The air pressure is 1574 lbs/ft²
The air density is 1.869 x 10⁻³ slug/ft³
(b) At 18,000 ft :
The air temperature is -5.08 °F
The air pressure is 1059.2 lbs/ft²
The air density is 1.356 x 10⁻³ slug/ft³
Step-by-step explanation:
Given;
pressure at sea level, P₀ = 14.8 PSI
temperature, T' = 80 °F
At 8,000 ft (m) altitude
for altitude h, less than 36,152 ft, the following model is used to modify temperature and pressure;
T = 59 - 0.00356h
T = 59 - 0.00356(8,000)
T = 30.52 °F
The pressure is calculated as;
[tex]P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{30.52+459.7}{518.6} ]^{5.256}\\\\P = 1574.2 \ lbs/ft^2[/tex]
The density is given by;
[tex]\rho = \frac{P}{1718*(T+459.7)}\\\\\rho = \frac{1574.2}{1718*(30.52+459.7)}\\\\\rho = 1.869*10^{-3} \ slug/ft^3[/tex]
For 18,000 ft
T = 59 - 0.00356h
T = 59 - 0.00356(18,000)
T = -5.08 °F
The pressure is calculated as;
[tex]P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{-5.08+459.7}{518.6} ]^{5.256}\\\\P = 1059.2 \ lbs/ft^2[/tex]
The density is given by;
[tex]\rho = \frac{P}{1718(T+459.7)} \\\\\rho = \frac{1059.2}{1718(-5.08+459.7)}\\\\ \rho = 1.356*10^{-3} \ slug/ft^3[/tex]
each student in ali’s class ran 1/4 of a mile. there are 36 students in the class. how many miles did the students run altogether?
Answer:
9 miles.
Step-by-step explanation:
If you multiply 36 by 0.25 (1/4 as a decimal), you get 9. So the class altogether ran 9 miles.
Solve the equation: x^2 + 8x = 0
Answer:
x²+8x=0
⇒a=1 b=8 c=0
Δ=b²-4ac
Δ=8²-4.1.0
Δ=8²
Now you solve the bhaskara formula:
x=-b±[tex]\sqrt{}[/tex]Δ/2a
x=-8±8/2
x1=0
x2= -8
hope this helps.
Use the grouping method to factor the polynomial below completely.
+3 - 4x² + 3x - 12
Answer:
The answer is “B”
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
[2(5 - 4) + 6(7 - 3)] ÷ 2
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
It’s too much to type out so I will show you a picture of my work
(2x2−6x+4)+(−11+4x2+7x) simply
Answer:
6 x 2 + x − 7
Step-by-step explanation:
You can do this by combining the like terms in the parenthesses. Please mark as brainliest
How many dimes equal the value of 6 quarters?
Answer:
15 dimes
Step-by-step explanation:
6 quarters = 6 * .25 = 1.50
a dime equals .10
d * .10 = 1.50
Divide each side by .10
d = 1.50/.10
d = 15
15 dimes
Answer:
15 dimes
Step-by-step explanation:
One dime equals: 10
six quarters: 150
150 divided by 10:
15 dimes!
Hope this helps!!!!
what value of x will be a straight line
Answer:
yep it is not full question
872 scientific notation
Answer:
8.72 x 10^2
Step-by-step explanation:
Find the distance between A (-3, -2) and B(-11, – 17).
answer: 20.6155
Input Data :
Point 1
( x A , y A ) = (-3, -2)
Point 2
( x B , y B ) = (-11, 17)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √ ( x B − x A ) 2 + ( y B − y A ) 2
Solution :
Distance between two points = √ ( − 11 − − 3 ) 2 + ( 17 − − 2 ) 2
=√ ( − 8 ) 2 + 19 2
= √ 64 + 361
= √ 425 = 20.6155
Distance between points (-3, -2) and (-11, 17) is 20.6155
Use order of operations to simplify the following algebraic expression.
3y - 2(y + 5) - 6 ÷ 2
A. 5y + 8
B. 5y + 7
C. y - 8
D. y - 13
Luna is buying food for a dinner party. She is going to buy 2 key lime pies that cost $8.99 each. Shrimp costs $8.50 a pound. She needs to spend less than $45 total. Write and solve an inequality to represent the situation. How many pounds of shrimp she can buy? Round to the nearest whole pound
PLEASE ANSWER WHOLE QUESTION NOT JUST THE SOLUTIONФωФ
Answer:
x=45- 2*8.99/8.50
x~3.18
3 lbs of shrimp
Approximately 3 pounds of shrimp Luna can buy with $45.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Luna is buying food for a dinner party. She is going to buy 2 key lime pies that cost $8.99 each.
Shrimp costs $8.50 a pound.
Let the number of pounds of Shrimp be x.
She needs to spend less than $45 total.
2×8.99+x×8.50<45
17.98+8.50x<45
Subtract 17.98 on both sides of an inequality, we get
8.50x<27.02
Divide 8.50 on both sides of an inequality, we get
x<3.17
x<3
Therefore, approximately 3 pounds of shrimp Luna can buy with $45.
To learn more about the inequalities visit:
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Can someone help me!!!
The line represented by 4y = 2x + 12 is dilated by a scale factor of k centered at the origin, such that the image of the line has an equation of y = (1/2)x + 30. What is the scale factor?
Answer:
10
Step-by-step explanation:
4y = 2x + 12
Divide both sides by 4:
y = ½ x + 3
This has a slope of ½ and a y-intercept of 3.
The other line has the same slope and a y-intercept of 30.
So the scale factor is 10.
-2.2.8.4
Find the distance between the two numbers on a number line
Answer:
10.6
Step-by-step explanation:
-2.2 is 2.2 units away from zero and 8.4 is 8.4 away from zero on a number line. add 2.2 and 8.4
A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of change?
Answer:
1.666666667 meter per sec^2
Step-by-step explanation:
I feel like this is physic
using acceleration formla Vf-Vi/t
so 400-100/180sec
300/180
1.666666667 meter per sec^2
Hey im still learning tell me if you feel like im wrong OwO
A number is at least three. Which of the following number lines represents this statement?
Hence, option (B) is correct.
What is the number line?
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Every point of a number line is assumed to correspond to a real number, and every real number to a point.
Here mentioned that number is at least three which mean we can tak number which would be at least [tex]3[/tex] and it would be more than [tex]3[/tex] also
Hence, option (B) is correct.
To know more about the number line
https://brainly.com/question/22112559
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Indicate whether the lines parallel, perpendicular, or neither. Justify your answer.
a. y=5/2x-3 and 5x=2y-4
b. 2x+8y= -24 and 48y= -12x-144
c. 2x-7y= -56 and 7x+2y=8
Answer:
c
Step-by-step explanation:
c is 2x-7y= -56 and 7x+2y=8
What is 1 2/3 - 2 1/3
Answer:
-2/3
Step-by-step explanation:
I took the whole numbers and multiplied them by 3 and added them to the numerators, so I did 5/3 - 7/3, which would be -2/3
Answer:
-2/3
Step-by-step explanation:
What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?
The translation form of each shape is given as follows:
a) X to Z: (x, y) -> (x + 5, y + 2).
b) Z to X: (x, y) -> (x - 5, y - 2).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.For the composition of translations, we add the coordinates, hence:
-2 + 7 = 5.5 - 3 = 2.Hence the rule from X to Z is given as follows:
(x, y) -> (x + 5, y + 2).
From Z to X, we have the inverse rule, hence:
(x, y) -> (x - 5, y - 2).
More can be learned about translation at brainly.com/question/29209050
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1+1
Plz give good reasoning why this is an snwer
Answer: 1+1 is equal to 2, because adding a singular object to a specified amount of something to the number 1, it will increase by just that. Therefore, if the quantity of something is one, adding the number one to its value will be the number 2.
y^2=169 what are the solutions
Answer:
13
Step-by-step explanation:
y^2=169
y^2=13^2
y=13
[tex] {y}^{2} = 169[/tex]
[tex] {y}^{2} - 169 = 0[/tex]
[tex](y - 13)(y + 13) = 0[/tex]
[tex]y - 13 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y + 13 = 0[/tex]
[tex] \: \: \: \: \: \: \: \: \: y = 0 + 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 0 - 13[/tex]
[tex] \: \: \: \: \: \: \: \: \: y = 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - 13[/tex]
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without solving the equation -3x+5 =44 tell whether the value of x is negative or positive
Answer:
x= -13
The value of x is negative
Step-by-step explanation:
Answer:
It'd be a negative.
Step-by-step explanation:
This is because a negative times a negative is a positive. The answer's a positive, so two negatives multiplied by each other plus a positive would be a positive.
Write 435,000 in scientific notation
Answer: 4.35 × 10⁵
435,000 = 4.35 × 10⁵
Plz mark brainleist:)
Answer:
4.35 x 10 to the 5th power
Step-by-step explanation:
Tan weighs 146 pounds. Minh weighs 15 pounds more than Tan. How much does Minh weigh?
Provide your answer below:
pounds
Given parameters:
Weight of Tan = 146pounds
Unknown:
Weight of Minh = ?
Following this problem step wisely, we can derive a solvable algebraic equation;
Let the weight of Minh = M
In the second sentence, we see that Minh weighs 15pounds more than Tan;
So;
M = 15 + Weight of Tan
Since we already know the weight of Tan,
Weight of Minh = 15 + 146 = 161pounds
We clearly see that Minh's weight will be 161 pounds.
A car is purchased for $25,500. After each year, the resale value decreases by 30%. What will the resale value be after 3 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$2,550
Step-by-step explanation:
30% x 3 = 90% = 0.9
$25,500 x 0.9 = 22,950
$25,500 - $22,950 = $2,550
What is the distance between the following points: A(5, -3) & B(7, 4)?
Answer:
the y axis is negnegative
it seem like an enlargement.
Answer:
7.28Step-by-step explanation:
Given points:
A(5, -3) and B(7, 4)The distance between the points:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]d = [tex]\sqrt{(7 - 5)^2 + (4- (-3))^2} = \sqrt{2^2 + 7^2} = \sqrt{53}[/tex] = 7.28What is the x intercept of 3x+2y=15
Answer: 5
Step-by-step explanation: 3x=15 x=5.
[tex]3x + 2y = 15[/tex]
[tex]3x = 15 - 2y[/tex]
[tex]x = \frac{15 - 2y}{3} [/tex]
[tex]x = \frac{ - 2y}{3} + 5[/tex]
[tex]x = - \frac{2y}{3} + 5[/tex]
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One leg of a right triangle is 2 inches longer than the shorter leg.
The hypotenuse is 4 inches longer than the shorter leg,
Find the lengths of the three sides of the right triangle.
Shorter leg -
inches
Longer leg -
inches
Hypotenuse -
inches
Enter NUMBER Only
9514 1404 393
Answer:
shorter leg: 6 incheslonger leg: 8 incheshypotenuse: 10 inchesStep-by-step explanation:
The given relations tell you the side lengths form an arithmetic sequence with a common difference of 2.
short side
long side = short side + 2
hypotenuse = long side + 2
__
There is only one "Pythagorean triple" that is an arithmetic sequence. The reduced form is (3, 4, 5). The numbers in this triple have a common difference of 1, so your side lengths will be double these values:
shorter leg: 6 inches
longer leg: 8 inches
hypotenuse: 10 inches
_____
Alternate solution
As you can see, it is worthwhile to remember some Pythagorean triples. If you write an equation using the Pythagorean theorem, you can let s represent the short side.
s^2 +(s+2)^2 = (s+4)^2
2s^2 +4s +4 = s^2 +8s +16
s^2 -4s -12 = 0 . . . . . . . subtract (s^2 +8s +16) to put in standard form
(s -6)(s +2) = 0 . . . . . . factor
s = 6 or -2 . . . . . . . . . . values that make the factors zero
The only reasonable solution here is s=6.
The short side is 6", the longer side is 8", and the hypotenuse is 10".
Find f(-2) when f(x)=2x^2+5x-4
Answer:
-6
Step-by-step explanation:
f(x)=2x^2+5x-4
Let x= -2
f(-2)=2*(-2)^2+5(-2)-4
= 2 (4)+5(-2)-4
= 8 -10 -4
= -6
Please help me please please I am lazy
Answer:
-1
Step-by-step explanation:
f(-2)- 3-2^2
f= -1
A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 10 teenagers sleeping in each tent. Assume that these 10 teenagers are independent of each other.
Calculate the probability that at least one of them suffers from arachnophobia.
Answer:
0.516
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given:
n = 10, r ≥ 1, p = 0.07, q = 0.93
P(r ≥ 1) = 1 − P(0)
P(r ≥ 1) = 1 − ₁₀C₀ (0.07)⁰ (0.93)¹⁰⁻⁰
P(r ≥ 1) = 1 − (0.93)¹⁰
P(r ≥ 1) = 0.516
Answer:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given:
n = 10, r ≥ 1, p = 0.07, q = 0.93
P(r ≥ 1) = 1 − P(0)
P(r ≥ 1) = 1 − ₁₀C₀ (0.07)⁰ (0.93)¹⁰⁻⁰
P(r ≥ 1) = 1 − (0.93)¹⁰
P(r ≥ 1) = 0.516
Step-by-step explanation:
