An airplane flying into a headwind travels the -mile flying distance between Indianapolis, Indiana, and Phoenix, Arizona, in hours. On the return flight, the airplane travels this distance in hours and minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
Answer:
the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
Step-by-step explanation:
The values are missing in the given information in the question.
To able to solve this question, we will make some assumptions.
Let's assume that:
The airplane heading into the wind travels 1800 miles in 3 hours.
While returning via the same distance, it travels 2 hours 30 minutes.
We are to determine the plane's airspeed as well as the wind speed.
First, let us say that the speed of the plane is p and the wind speed is q
during the time the plane is traveling for 1800 miles in 3 hrs.
Then, we can say
3p -3q = 1800 ----- (1)
However, in 2hours 30 minutes, we have 2.5 hours
So, when the plane is returning, we have the following equation:
2.5p + 2.5q = 1800 ---- (2)
So, to find p and q, we can use the elimination method.
Simply by multiplying equation (1) with 5 and equation (2) with 6
(5)3p - (5)3q = (5) 1800
(6)2.5p + (6)2.5q = (6) 1800
15p - 15q = 9000
+
15p + 15q = 10800
30p - 0 = 19800
30p = 19800
p = 19800/30
p = 660
Since p = 660, then from equation (1) we can obtain the value of q:
So; Using equation (1):
3p -3q = 1800
3(660) - 3q = 1800
1980 - 3q = 1800
-3q = 1800 - 1980
-3q = -180
q = 180/3
q = 60
Therefore, the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
Write the Plural! Spanish, help!!
Part B: Plot point C(2,7). If M is the midpoint of CD, what are the coordinates of D?
Answer:
[tex]D = (-4,-9)[/tex]
Step-by-step explanation:
Given
[tex]C =(2,7)[/tex]
[tex]M=(-1,-1)[/tex]
Required
The coordinates of D
Represent D with:
[tex]D = (x_2,y_2)[/tex]
Using midpoint formula, we have:
[tex]M(x,y) = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]
So, we have:
[tex](-1,-1) = \frac{1}{2}(2 + x_2, 7 + y_2)[/tex]
Multiply both sides by 2
[tex](-2,-2) = (2 + x_2, 7 + y_2)[/tex]
Compare both sides
[tex]2 + x_2 = -2[/tex]
[tex]7 + y_2 =-2[/tex]
In [tex]2 + x_2 = -2[/tex], we have:
[tex]x_2 =-2-2[/tex]
[tex]x_2 =-4[/tex]
In [tex]7 + y_2 =-2[/tex], we have:
[tex]y_2 = -2 - 7[/tex]
[tex]y_2 = -9[/tex]
So, the coordinates of D is:
[tex]D = (x_2,y_2)[/tex]
[tex]D = (-4,-9)[/tex]
I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?
Answer: I'm sorry I don't know but il try and calculate the answer for you
Step-by-step explanation:
x^2log2x+secx differential equation plz solve the question and give ans
Answer:
only 5 points
Step-by-step explanation:
At a factory, light bulbs are packed in boxes that are then placed in a shipping container.
• Each box is in the shape of a cube.
• Each box has an edge length of foot.
• A shipping container has dimensions of feet by 1 foot by 2 feet.
What is the total number of boxes of light bulbs that the shipping container can hold when completely full?
Answer: 144
Step-by-step explanation: You need to find the volume of the shipping container and divide it by the volume of a box.
2 2/3 x 1 x 2 = 16/3
1/3 x 1/3 x 1/3 = 1/27
16/3 divided by 1/27 is 144.
The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s
Solution :
Avrami relationship
[tex]$1-y=exp(-kt^n)$[/tex]
[tex]$\ln(1-y)=-kt^n$[/tex]
[tex]$-\ln(1-y)=kt^n$[/tex]
[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]
The fraction transformed is 0.2 at 12.6 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]
[tex]$-1.5 = \ln k + 2.533 n$[/tex] .........(i)
The fraction transformed is 0.7 at 25.7 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]
[tex]$0.5 = \ln k + 3.24 n$[/tex] ..............(ii)
Subtract (ii) from (i),
-2 = -0.71 n
n = 2.81
Therefore, from (i),
[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]
k = 0.000181
Now if the fraction transformed is 0.92, then
[tex]$kt^n=-\ln (1-y)$[/tex]
[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]
[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]
t = 29.8528 s
Find 35% of a number is 70 find the number
Answer:
200.
Step-by-step explanation:
35% = 0.35 so
0.35x = 70
x = 70 / 0.35
= 200.
Answer:
200
Step-by-step explanation:
Let the number = x
35% of x = 70
35/100 * x = 70 Multiply by 100
35x = 70 * 100
35x = 7000 Divide by 35
x = 7000/35
x = 200
En 9 días, un grupo de trabajadores puede sembrar 72 hectáreas.
¿Cuál es su tasa en hectáreas por día?
Answer:
8 hectáreas por día
Step-by-step explanation:
72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8
¡Espero que esta te ayudar! :)
(y sí, hablo un poco de español porque he aprendido desde el primer grado)
3. Given the bar chart below,
(a) draw a frequency table from the graph.
(b) calculate the mean mark.
(c) what is the modal mark?
(d) find the median mark.
(e) if a student is selected at random, what is the probability that he/she scored
not less than 3 marks?
7
Frequent
п
0
-
0
3
5
N
6
6
Marks
Answer: shehshywhwyw
Step-by-step explanation:
What is the name of the following net?
Answer:
[tex]\large\colorbox{gold}{sǫᴜᴀʀᴇ ᴘʏʀᴀᴍɪᴅ}[/tex]
uppose you are performing a hypothesis test with H subscript 0 superscript blank space colon space mu equals 10 and H subscript A colon mu greater than 10, using a sample size of 50 observations. You sample data has a mean of 10.7, with a standard deviation of 3.1. Compute the test statistic for this hypothesis test
Answer: The test statistic for this hypothesis test =1.597
Step-by-step explanation:
When population standard deviation is unknown, we use t-test statistic:
[tex]t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]\overline{x}[/tex] = sample mean, [tex]\mu[/tex] = population mean , s= sample standard deviation, n = sample size.
As per given,
[tex]t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597[/tex]
Hence, the test statistic for this hypothesis test =1.597
13 +22
if r = -3 and s = 4
35 is the answer
have a wonderful day
Please HELPP with this question
9514 1404 393
Answer:
551.07 yd²
Step-by-step explanation:
For radius r and height h, the total surface area of the cylinder is given by ...
SA = 2πr(r +h)
Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...
SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²
Find the length of side c.
c=_in
Answer:
c=9.534
Step-by-step explanation:
Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?
Answer: 3 were blue
Step-by-step explanation:
Blue + Red = 18....so.....
B + 5B = 18
6B = 18
B =18 / 6 = 3 blue
Please help me solve this math problem and explain it. Will give BRANIEST!
(X^2+2xy+y^2)^2
Answer:
I'm sorry hindi ko po alam eh
100 POINTS!!! For which value of b will the quadratic equation x^2-bx+16=0 have exactly two different integer solutions? Select all that apply.
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
If b² - 4ac > 0, then the equation have exactly two different integer solutions.
Given the equation:
x² - bx + 16 = 0, to have exactly two different integer solutions:
(-b)² - 4(1)(16) > 0
b > 8
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer:
x=8
Step-by-step explanation:
PLEASE HELP ME !!! Can anyone help me find the function for this trig graph ?? i need a specific answer for the function , 50 pts and i will mark brainliest !!
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
Jerome purchased a 4-year old car for $12,000. He was told this make a model depreciates exponentially at a rate of 5.7% each year. What was the original price to the nearest hundred dollars?
Group of answer choices
$19,300
$15,200
$12,500
$17,500
Which of the following formulas does not represent finding The height of a rectangular prism with a volume of 200 in.³, a length of 4 inches, and a with of 5 inches?
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
Answer:
[tex]P(x \le 21) = 0.69146[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]n = 64[/tex] --- population
[tex]\mu = 20[/tex] --- population mean
[tex]\sigma = 16[/tex] -- population standard deviation
Required
[tex]P(x \le 21)[/tex]
First, calculate the sample standard deviation
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]
[tex]\sigma_x = \frac{16}{8}[/tex]
[tex]\sigma_x = 2[/tex]
Next, calculate the sample mean [tex]\bar_x[/tex]
[tex]\bar x = \mu[/tex]
So:
[tex]\bar x = 20[/tex]
So, we have:
[tex]\sigma_x = 2[/tex]
[tex]\bar x = 20[/tex]
[tex]x = 21[/tex]
Calculate the z score
[tex]x = \frac{x - \mu}{\sigma}[/tex]
[tex]x = \frac{21 - 20}{2}[/tex]
[tex]x = \frac{1}{2}[/tex]
[tex]x = 0.50[/tex]
So, we have:
[tex]P(x \le 21) = P(z \le 0.50)[/tex]
From the z table
[tex]P(z \le 0.50) = 0.69146[/tex]
So:
[tex]P(x \le 21) = 0.69146[/tex]
Kristy had a piece of fabric that she cut into 8 equal squares. Each square has area 0.625 ft2. What is the area of Kristy's original piece of fabric?
ft2
PLS HELPPP
Answer:
5[tex]ft^2[/tex] is the area of the original piece of fabric.
Step-by-step explanation:
0.625 x 8 = 5
Two cards are drawn without replacement from an ordinary deck, find the probability that the second is not a black card, given that the first is a black card. What is the conditional probability?
(a) [tex]\frac{26}{51}[/tex]
(b) [tex]\frac{26}{51}[/tex]
Step-by-step explanation:(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e
P = number of favourable outcomes / total number of possible outcomes
For drawing a first card which is black,
number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)
total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)
∴ Probability of drawing the first black card = 26 / 52 = 1 / 13
Since the second card is not a black card, it is a red card.
number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)
total number of possible outcomes = 51 (since a black card has been previously picked from the deck)
∴ Probability of drawing a second black card = 26 / 51
The probability that the second is not a black card is 26 / 51
(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,
It is given by;
P(B|A) = P(A and B) ÷ P(A)
In this case;
event B is drawing a second card which is not black
event A is drawing a first card which is black
This implies that;
P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]
P(A) = [tex]\frac{1}{13}[/tex]
Substitute these values in the equation for conditional probability as follows;
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]
P(B|A) = [tex]\frac{26}{51}[/tex]
Therefore the conditional probability is [tex]\frac{26}{51}[/tex]
Find the volume of the pyramid. Round to the nearest tenth if necessary.
Why does 5(x+20) equal 15x? I'm so confused.
Answer:
Nobody knows its a mistery :'D
Answer:
Because lma/os
Step-by-step explanation:
5 ( x + 20 )
-----------------
1. Simplifly
2. Distribute
3. 5 ( x + 20 )
5 x + 100
what is the answer to this question. i made it 20 pts
Answer:
the second choice
solve the equation s - 12 equals 20
ASAP pls
Answer:
s = 32
Step-by-step explanation:
s - 12 = 20
s (- 12 + 12) = 20 + 12
s = 32
Step-by-step explanation:
s-12=20
s=20+12
s=32
Hope it helps.
-2x +9y=8
x=y+3
Step by step
There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)
Answer:
7
Step-by-step explanation:
3RD MAN: 1
2ND MAN: 2
1ST MAN: 4
3rd Man = 1/2+1/2 = 1
2nd Man = 1+1 = 2
1st Man = 2*2 = 4