Answer:
The speed of the aircraft is 126.667 miles per hour.
Step-by-step explanation:
Let suppose that aircraft travels at constant speed. From Mechanical Physics, we understand speed as travelled distance divided by time. In this case, the absolute speed of the aircraft is the sum of wind speed and speed of the aircraft relative to wind. That is:
Tailwind (Wind flows in the same direction of aircraft)
[tex]t = \frac{s_{T}}{v_{W,T}+v_{A/W,T}}[/tex] (Eq. 1)
Headwind (Wind flow in the direction opposite to aircraft)
[tex]t = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 2)
Where:
[tex]s_{T}[/tex], [tex]s_{H}[/tex] - Travelled distances on tailwind and headwind conditions, measured in meters.
[tex]v_{W,T}[/tex], [tex]v_{W,H}[/tex] - Tailwind and headwind speeds, measured in meters per second.
[tex]v_{A/W,T}[/tex], [tex]v_{A/W,H}[/tex] - Relative speeds of aircraft relative to tailwind and headwind, measured in meters per second.
We proceed to equalize both expressions to eliminate time:
[tex]\frac{s_{T}}{v_{W,T}+v_{A/W,T}} = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 3)
If we know that [tex]s_{T} = 360\,mi[/tex], [tex]s_{H} = 300\,mi[/tex], [tex]v_{W,T} = 10\,\frac{mi}{h}[/tex], [tex]v_{W,H} = -10\,\frac{mi}{h}[/tex] and [tex]v_{A/W,T} = v_{A/W,H}[/tex], then:
[tex]\frac{360}{v+10} = \frac{300}{v-10}[/tex]
The relative speed of the aircraft is now cleared:
[tex]360\cdot (v-10)=300\cdot (v+10)[/tex]
[tex]360\cdot v-3600 = 300\cdot v +3000[/tex]
[tex]60\cdot v = 7600[/tex]
[tex]v = 126.667\,\frac{mi}{h}[/tex]
The speed of the aircraft is 126.667 miles per hour.
A certain list contains 11 consecutive multiples of 3.
The first number is 21. What is the middle number?
Answer:
If this set contains an odd number of elements, say, 3, 6 and 9, then median of a set will ... as well as the mean of this set, will equal the mean of the two middle elements. ... the statement (1) says: All members of S are consecutive multiples of 3 ... I think the right answer is C, since 9 + 12 + 15 + 18 + 21 = 75
Step-by-step explanation:
We can't write every number as a sum of consecutive numbers - for example, 2, ... the sum is an odd number, e.g. 1+2=3 2+3=5 3+4=7 4+5=9 5+6=11 6+7=13 ... Some spotted a similar pattern for multiples of 3. ... If you add any 3 consecutive numbers together it will always equal a multiple of 3, e.g. ... 1+2+3+4+5+6=21
Answer:
36
Step-by-step explanation:
11 multiples of 3 starting from 21 - 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51
21 is the first
51 is the last
36 is in the middle
Please helppp.
Simplify an expression for the perimeter and
an expression for the area of the rectangle
shown
Answer:
perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16
Area: 5(8x+3)=40x+15
Find the slope of a line passing through (2, -1) and (-6, -1).
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
Answer:
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
Which of the following functions is depicted?
Answer:
D
Step-by-step explanation:
8 (2x - 3) - 6x? what the answer
Answer:
Step-by-step explanation:
Multiply the expressions.
− 32 x − 24
Answer 2.5:
Step-by-step explanation:
What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12
9514 1404 393
Answer:
f(0) = 12 . . . only
Step-by-step explanation:
We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.
The graph of f(x) crosses the y-axis at y=12, so ...
f(0) = 12
Answer: 4,12
Step-by-step explanation: Gimme points I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)
In the accompanying diagram, AB, CD, and EF intersect at O. If CD I EF and m ZAOE = 32, find m ZAOF.
In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).
3(4 + 5y)
Simplify the expression
Answer:
12 + 15y
Step-by-step explanation:
Multiply 3 by all the variables inside the ()
A gardener planted flowers of different colors.
of the flowers are yellow
The gardener planted 119 purple flowers. How many flowers did the
gardener plant?
of the remaining flowers are green.
• The rest of the flowers are purple. HELP FAST IM AWARDING BRAINLYEST
Question:
A gardener planted flowers of different colors.
3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest of the flowers are purple.
The gardener planted 119 purple flowers, how many flowers did the gardener plant?
Answer:
[tex]Total = 680[/tex]
Step-by-step explanation:
Represent Yellow with Y, Green with G and Purple with P
[tex]Y = \frac{3}{10}[/tex]
First, we need to determine the fraction of the rest.
[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction
[tex]The\ Rest = 1 - Yellow[/tex]
[tex]The\ Rest = 1 - \frac{3}{10}[/tex]
[tex]The\ Rest = \frac{10 - 3}{10}[/tex]
[tex]The\ Rest = \frac{7}{10}[/tex]
We have that:
[tex]G = \frac{3}{4} * The\ Rest[/tex]
[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
To solve for the fraction of Purple, we make use of:
[tex]Y + G + P = 1[/tex]
[tex]P = 1 - Y - G[/tex]
Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]
So:
[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]
[tex]P = \frac{40 - 12 - 21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
At this point, we have the fraction of each flower as:
[tex]Y = \frac{3}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
Also, we have that:
[tex]P = 119[/tex]
The relationship between both values of P is:
[tex]\frac{7}{40} * Total = 119[/tex]
[tex]Total = 119 * \frac{40}{7}[/tex]
[tex]Total = \frac{119 * 40}{7}[/tex]
[tex]Total = \frac{4760}{7}[/tex]
[tex]Total = 680[/tex]
Find the slope of the line that is perpendicular to the graph of the equation y-4x=1
Answer:
y=-1/4x+1
Step-by-step explanation:
Please help this is due today!! Question: What is the relationship between the 6s in 660,472?
Answer:
The first 6 is in the hundred thousands place.
The second 6 is in the ten thousands place.
Here are the info for the rest of the numbers:
6 = hundred thousands
6 = ten thousands
0 = thousands
,
4 = hundreds
7 = tens
2 = ones
Hope this helps you!
Best of luck!
Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?
HELP ME
Answer:
c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.
Answer:
C
Step-by-step explanation: water
Pick the answer that represents two inequalities using the following pair of numbers.
-21 and -22
−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)
−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)
−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)
−21 < −22; −22 > −21 (D)
Answer:
C
Step-by-step explanation:
it's the only one whose inequalities match up, because 0 > -21 > -22
Answer:
C
Step-by-step explanation:
I mark as brainliest
i need help please!!
Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the change in Jack's money when he pays one friend?
Answer:
5555555555555555555225313
Step-by-step explanation:
3
6
554
Answer:
$20.00
Step-by-step explanation:
24.00/6=4 so 24-4=20.00
ASAP! I will give branilest!
1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No
pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40
2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No
number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.
c =
1.50 or 1.88
3A. Use the following variables to help in your equation:
Is A the answer or T
a is for pounds of apples
t is for number of toppings
Answer:
1 = No 2 = Yes 3 = 1.88
Step-by-step explanation:
Answer:
1. Yes 2. No 3. = 1.88 .
Step-by-step explanation:
1. Possibly yes, the first table represents a proportional relationship because cost per pound of apples is the same in each row, 1.88 dollars per pound.
2. Definitely no, the second table does not represent a proportional relationship because cost per topping is not the same in each row. (An equation is =1.50+8.99 but students do not need to provide an equation.)
3. An equation relating the cost to pounds of apples is = 1.88.
If there are 9 rows of seats with 18 seats in each row there are also 6 rows of seats with 24 seats in each row how many seats are there in the auditorium
Answer:
306
Step-by-step explanation:
The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18) and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats
The number of suitcases lost by airlines.
Answer:
4.3 billion
Step-by-step explanation:
In a survey of 3475 adults, 1440 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is ( ), ( ). (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below.
a. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
b. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
8.075 x 10-4 in standard form
Answer:
8.075x + 6
Step-by-step explanation:
should be your answer, combine your like terms. the only like terms are 10 and 4. subtract the 10 and 4
Answer:
The answer is: 8.075 x 6= 48.45
Step-by-step explanation:
I HOPE THIS HELPS AND GOOD LUCK! :)
Pls help with 7th grade math pls quick I’ll give brainliest
Answer:
Drops by 1/6
Step-by-step explanation:
1 1/2 /=/ 1 2/3 1 1/2= 1 3/6=1 1/2=1 2/6
Graph the equation 2x−y=9 by plotting points.
Answer:
y=2x-9
Step-by-step explanation:
2x-y=9
-2x -2x
-y=-2x+9
-y/-y= -2x/-y+9/-y
y=2x-9
The required graph of equation 2x - y = 9 by plotting points is attached below.
To graph the equation 2x - y = 9 by plotting points, we can choose different values of x, solve for y, and then plot the corresponding points.
Here is a table of values:
x | y
0 | -9
1 | -7
2 | -5
3 | -3
4 | -1
5 | 1
Using these values, we can plot the points (0, -9), (1, -7), (2, -5), (3, -3), (4, -1), and (5, 1) on a graph.
The x-axis represents the values of x, and the y-axis represents the values of y. Connect the plotted points with a straight line to represent the equation 2x - y = 9.
Thus, the required graph of equation 2x - y = 9 is attached below.
Learn more about the Lines here:
brainly.com/question/14511992
#SPJ6
17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?
Answer:
12.25,12.25,7
Step-by-step explanation:
Formula of Area of square= length x breadth
In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)
The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem
(Hypotnuse)^2=(Length^2) x (Breadth)^2
we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so
(Hypotnuse)^2= (3.5)^2 x (3.5)^2
(Hypotnuse)^2=150.0625
Apply square root on both sides gives us
[tex]Hypotnuse = 12.25[/tex]
Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm
"if A, then B" is the form of a _______statement
Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.
Answer:
y = -1/3x + 13/3
Step-by-step explanation:
-3x + y=-5
y = 3x -5
Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.
y-intercept going through point (1, 4):
y = mx + b
4 = -1/3(1) + b
4 = -1/3 + b
b = 13/3
Perpendicular equation of a line:
y = mx + b
y = -1/3x + 13/3
(Essential Question) How do you create equations and use them to solve problems?
Answer:
Step-by-step explanation:
equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the amount of hours needed to earn a certain amount of money.
Answer:
Equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the number of hours needed to earn a certain amount of money.
The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6
Answer:
USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.
Answer:
C.) 5
Step-by-step explanation:
Hope you have a good day and get good grades
The value of the x-intercept for the graph of 4x - 5y = 40 is
Answer: The x intercept is 10 or (10,0)
Step-by-step explanation:
4x - 5y = 40 The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.
4x-5(0) = 40
4x + 0 = 40
4x = 40
x= 10
The x intercept is 10 or (10,0)