Answer:
Option D would be the correct answer!
Hope this helps!
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
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
Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =
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
to
Angle JKL is a straight angle.
The measure of angle MKL is 25°.
The measure of angle JKM is xº.
What is the value of x?
M
25°
K
n
Answer:
180-25=155 degrees
Step-by-step explanation:
Find all working solutions for x.
✓(x-5) - 5 = 3
Answer:
Step-by-step explanation:
✓(x-5) - 5 = 3
✓(x-5) - 8 = 0
(✓(x-5))² - 8² = 0
x-5 - 64 = 0
x - 69 = 0
x = 69
Choose the best estimate for the multiplication problem below. 56 x 51
A. 2000
B. 3000
C. 4100
Answer:
B
Step-by-step explanation:
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
A rectangular in ground pool needs to be filled with water. The pool is 20 feet long 9 1/2 feet wide, and 5 1/2 feet deep determin the maximum amount of water the pool can hold? PLS ANSWER IM GOING TO FAIL
Answer:
1045 ft³ of water
Step-by-step explanation:
Given :
Length = 20 feets
Width = 9 1/2 feets
Height = 5 1/2 feets
The maximum of water the pool can hold is equivalent to the volume of the pool ;
Hence, Volume = Length * width * height
Volume = 20 * 9 1/2 * 5 1/2
Volume = 1045 ft³ of water
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.
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)
The obtuse angle between the hands of a clock at 2.30 a.m is:
A 105°
B 120°
C 135°
D 150°
E 165°
Answer:
c
Step-by-step explanation:
Find the volume of the pyramid. Round to the nearest tenth if necessary.
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
Marie had 12 pizzas. She wanted to give each person of a 1/4
pizza. How many people would receive a piece of pizza?
Answer:
48 people.
Step-by-step explanation:
Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.
1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lechon from his residence? 4. How far is KFC from his residence? 5. What is the measure of angle ERK ?
Answer:
Following are the solution to the given question.
Step-by-step explanation:
Please find the graph file and its solution in the attachment.
[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]
Similarly:
[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]
For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]
For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]
For point 3:[tex]\to BE=KR=157[/tex]
For point 4:[tex]\to Kf=BR=130[/tex]
For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]
Given that ΔKER and ΔBRE are congruent triangles, therefore:
1. How far KFC is from RCBC = KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 70°
What are Congruent Triangles?Congruent triangles have corresponding parts hat are congruent to each other.
Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:
KR = BE
4x - 15 = 3x + 28
4x - 3x = 15 + 28
x = 43
KE = BR
3y + 5 = 2y + 50
3y - 2y = -5 + 50
y = 45
Thus:
1. How far KFC is from RCBC = KR
KR = 4x - 15
Plug in the value of x
KR = 4(43) - 15
KR = 157 m
2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR
BR = 2y + 50
Plug in the value of y
BR = 2(45) + 50
BR = 140 m
3. How far Baliwag Lechon is from his residence = BE = KR = 157 m
4. How far KFC is from his residence = KE = BR = 140 m
5. The measure of ∠ERK = 180 - (92 + 18) = 70°
Learn more about congruent triangles on:
https://brainly.com/question/2938476
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:
The question is in the picture (Alegbra 1)
Answer:
[tex] \frac{s}{s + 3} [/tex]
Answer:
S/S+3
Step-by-step explanation:
Hope this helps...
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
13 +22
if r = -3 and s = 4
35 is the answer
have a wonderful day
PLS HELP 40 POINTS
If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?
340,426.24 in. 3
20,724 in. 3
63,829.92 in. 3
110,528 in. 3
Volume of the new similar cylinder is equals to 340,426.24 in.³.
What is volume?
" Volume is defined as the total space occupied by any three dimensional objects enclosed in it."
Formula used
Volume of the cylinder = πr²h
r = radius of the cylinder
h = height of the cylinder
value of π = 3.14
According to the question,
radius of the cylinder = 11 in.
height of the cylinder = 14 in.
Dimensions of new cylinder are quadrupled means 4times.
New radius = 44 in.
New height = 56 in.
Substitute the value in the formula we get,
Volume of the new cylinder = (3.14) ×(44)² × (56)
= 340,426.24 in.³
Hence, volume of the new similar cylinder is equals to 340,426.24 in.³.
Learn more about volume here
https://brainly.com/question/1578538
#SPJ2
Is this correct. Please let me know thank you
Answer:
Yes it is correct, the amount of flour is 1.5 times larger than eggs needed
Step-by-step explanation:
Write the Plural! Spanish, help!!
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]
-2x +9y=8
x=y+3
Step by step
1. Given f(x) = x2 – X and g(x) = 3x + 2, find f(g(2))
Answer:
56
Step-by-step explanation:
g(2) = 3(2) + 2
= 6 + 2
= 8
f(8) = 8^2 - 8
= 64 - 8
= 56
What is the length of NP?
Answer:
c. √174
Step-by-step explanation:
NP²= 10²+7²+5²=100+49+25= 174
NP = √174
The length of NP would be; √174
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given the measure of sides;
NP²= 10²+7²+5²
NP²=100+49+25
NP²= 174
NP = √174
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
09.03 MC) What is the domain of the following parabola? (5 points) u-shaped graph that opens down with a vertex of 2, 3 Select one: a. x ≥ 2 b. x ≤ −1 c. y ≤ 3 d. All real numbers
Answer:
The correct option is d: All real numbers.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that we can input in that function.
A general way to find the domain of a function is:
First, assume that the domain is the set of all real numbers.
Then, look at restrictions implied:
like in functions like:
f(x) = 4 if x > 3
Here the domain of the function is implied.
Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.
In this case, we have a quadratic function:
y = a*x^2 + b*x + c
Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )
Then we can conclude that the domain of this function is the set of all real numbers.
The correct option is d: All real numbers.
Which is the value of 2.3 - (-2.3)?
Answer:4.6
Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6
Answer:
4.6
Step-by-step explanation:
I WILL MARK BRAINLIEST (PICTURE INCLUDED)A right triangle ABC is shown below: А 3 units B 5 units The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.)