The values of x and y are x = 375 square feet and y = 6,300 pounds
To find the values of x and y, we need to determine the ratio of lifting force to area and use it to fill in the missing values in the table.
Given:
- The ratio of lifting force to area is equivalent for all pairs in the table.
Let's calculate the ratio for the given pairs:
1. [tex]\( \frac{125}{1875} = \frac{150}{2250} = \frac{175}{2625} = \frac{250}{3750} \)[/tex]
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
From the given pairs, we can observe that the ratio is [tex]\( \frac{250}{3750} \)[/tex] for all of them.
Now, using this ratio, we can find the missing values:
2. [tex]\( \frac{250}{3750} = \frac{x}{5625} \)[/tex]
[tex]\[ x = \frac{250 \times 5625}{3750} = 375 \, \text{square feet} \][/tex]
3. [tex]\( \frac{250}{3750} = \frac{420}{y} \)[/tex]
[tex]\[ y = \frac{3750 \times 420}{250} = 6300 \, \text{pounds} \][/tex]
Therefore, the correct values are:
[tex]\[ x = 375 \, \text{square feet} \][/tex]
[tex]\[ y = 6300 \, \text{pounds} \][/tex]
So, the correct answer is: [tex]\[ \text{Option D: } x = 375 \, \text{square feet} \, \text{and} \, y = 6300 \, \text{pounds} \][/tex]
Complete question:
The area of an airplane's wings is related to the airplane's lifting force, which holds the airplane in the air. The table below lists several wing areas and the corresponding lifting forces. The ratio of lifting force to area is equivalent for all pairs in the table. What are the values of x and y?
AIRPLANE LIFTING FORCE Area of Wings Lifting Force
125 1,875
150 2250
175 2625
250 3750
x 5625
420 y
x = 375 square feet and y = 7,500 pounds
x= 335 square feet and y = 6,300 pounds
x= 335 square feet and y = 7,500 pounds
x = 375 square feet and y = 6,300 pounds
are he two expression equivalent if x=5. 7x+3x. 9x+5
Answer:
yes, the two expressions are equivalent when x = 5
Step-by-step explanation:
7(5)=35
3(5)=15
35+15=50
9(5)=45
45+5=50
Answer:
Yes
Steps:
1) plug in 5 into the first equation:
7 • 5 = 35 + (3 • 5)= 35 + 15 = 50
2) plug in 5 into the second equation:
9 • 5 = 45 • 5 = 50
3) Compare:
50 = 50
Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and answer.
What is the pattern in the values as the exponents increase?
Answer:
"Multiply the previous value by 2"
Step-by-step explanation:
Let's check the first 2 terms for all the answer choices.
1. Add [tex]\frac{1}{16}[/tex] to the previous value:
[tex]\frac{1}{32}+\frac{1}{16}=\frac{3}{32}[/tex]
Doesn't match.
2. Subtract [tex]\frac{1}{16}[/tex] from the previous value:
[tex]\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}[/tex]
Doesn't match.
3. Divide the previous value by 2:
[tex]\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}[/tex]
Doesn't match.
4. Multiply the previous value by 2:
[tex]\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}[/tex]
DOES WORK!
Also, doing the same thing with all the other values would give us matching answer. So this choice is right.
The formula for the area of a triangle is a=1/2bh. Hiro is solving the equation for h; his work is shown below. What mistake did Hiro make?
a=1/2bh
2(x)a=2(x)(1/2bh)
2a=bh
2a-b=h
(x) is multiplication sign btw
Hiro should have divided both sides of the equation by 2. Hiro should have divided both sides of the equation by b. Hiro should have added b to both sides of the equation. Hiro should have subtracted 2 from both sides of the equation.
Example
If b = 5 and h = 10
a = 1/2 * b * h
a = 1/2 * 5 * 10
a = 25
2a = 2 (1/2 * b * h)
2 * 25 = 2 (1/2 * 5 * 10)
50 = 2 (25)
50 = 50
2a = b * h
2 * 25 = 5 * 10
50 = 50
2a - b = h
2 * 25 - 5 = 10
50 - 5 = 12
45 = 10
This is false.
If Hiro divided both sides by 2 instead:
2a ÷ 2 = b * h ÷ 2
2 * 25 ÷ 2 = 5 * 10 ÷ 2
50 ÷ 2 = 50 ÷ 2
25 = 25
Answer:
Hiro should divide both sides by 2.
Step-by-step explanation:
Choose one ?????? Help please
c. y = 6x is answer
PLZ HELP!!!!! Which of these quadrilaterals can always be classified as a rhombus? A) kite
B) rectangle
C) square
D) trapezoid
Answer:
A) Kite
A rhombus is a simply a diamond. Think about the visual properties of a diamond. Isn't a kite a diamond?
Find the perimeter of a square that is 3 and 3/4 in on a side.
A) 7 1/2 inches
B) 15 inches
C)12 3/4 inches
D)30 inches
Perimeter is the sum of all four sides.
A square has 4 equal sides, so all the sides of the square are 3 3/4 inches.
Perimeter = 3 3/4 x 4 = 15 inches.
3 - z/4 = 8
what is the solution of this equation ?
Answer:
z = - 20
Step-by-step explanation:
3 - z/4 = 8
-z/4 = 5
z = -20
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{3-\frac{z}{4}=8; \rightarrow 3+\frac{-1}{4}=8}[/tex][tex]\bold{\frac{-1}{4}z+3=8}\\\\ \bold{Subtract\ by\ the\ number\ 3\ on\ your\ sides\downarrow}\\\\\bold{Like:\frac{-1}{4}z+3=8-3}\\\bold{Cancel:3-3\ because\ that\ gives\ us\ the\ result\ of\ 0}\\\bold{Keep:8-3\ because\ it\ helps\ us\ solve\ for\ our\ \underline{ANSWER}}\\\\\bold{Multiply\ by\ -4\ on\ each\ of\ your\ sides}\\\bold{Like:-4(\frac{-1}{4}z)}=-4(5)\\\bold{Cancel:-4(\frac{-1}{4}) \ because\ it\ gives\ you\ the\ result\ of\ 1}\\\bold{Keep:-4(5)because\ it\ gives\ you\ your\ \underline{ANSWER}}[/tex][tex]\boxed{\boxed{\bold{Answer:z=-20}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]What is 47000000 in scientific notation
Answer:
Step-by-step explanation:
[tex]4.7 * 10^{7}[/tex]
Answer:
4.7 * 10^7
Step-by-step explanation:
Put a decimal at the end.
47 000 000.
Count the places to the left of the decimal.
There are 6 zeros and one more place to get a number between 1 and 10.
1 ≤ x < 10 ( note that 10 is not included).
There are 6 + 1 places to move.
Answer: 4.7 * 10^7
What is the circumference of the circle? Use 3.14 for pi
d= 33 cm
Answer:
C = 103.62 CM
Step-by-step explanation:
C = Pi*D
C =(3.14)*(33)
C = 103.62 cm
Best regards
Answer:
103.62
Step-by-step explanation:
The Formula for circumference is C = d[tex]\pi[/tex]
pi is 3.14. and the diameter is 33 so..
3.14 x 33 = 103.62
Hope this helps! Please mark as brainliest! Thanks!
A student did a survey on how people feel when they are hungry. The results were that more people felt a stabbing pain than their stomach aching. 30 people said that their stomach ached when they were hungry. 49 people said they felt a stabbing pain. How many more people felt a stabbing pain than stomach aches?
it’s 19 :)
filler
:)
hi
The number of more people who felt a stabbing pain than a stomach ache when they are hungry is obtained by subtracting the number of people who felt a stomach ache from the number of people who felt a stabbing pain. The difference, which is 19, indicates that 19 more people felt a stabbing pain.
Explanation:The subject of the question is simple subtraction in mathematics. In this scenario, find the difference between the number of people who felt a stabbing pain when they were hungry and the number who felt a stomach ache. The number of people who felt a stabbing pain is 49, and the number of people who felt a stomach ache is 30. So, to obtain the number of more people feeling stabbing pain than stomach ache: 49 (stabbing pain) - 30 (stomach ache) = 19. Thus, 19 more people felt a stabbing pain than a stomach ache when they were hungry.
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I DON'T understand
Answer:
f(g(x)) = 72x^2+1
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = -6x
f°g(x) means f(g(x))
Take g(x) and substitute it in for x in f(x)
f(g(x)) = 2(g(x))^2 +1
=2(-6x)^2 +1
=2(36x^2) +1
=72x^2 +1
what is nine thousand one hundred forty five divided by 3
Answer:
3,315 is the answer
Step-by-step explanation:
1) Just divide
9945 ÷ 3 = 3,315
Not hard
But here my answer!
The graph of g(x), shown below,is a vertical shift of the graph f(x)=3^x write the equation for g(x)
Answer: OPTION D
Step-by-step explanation:
By definition, an exponential parent function (The simplest forn of an exponentil function) has the following form:
[tex]f(x)=b^x[/tex]
When an exponential function has the form [tex]f(x)=b^x+k[/tex], means that this is shifted k units up.
Therefore, keeping the above on mind, you can conclude that the equation of the function g(x) is the shown below:
[tex]g(x)=3^x+1[/tex]
Answer:
D
Step-by-step explanation:
Which expression is equivalent to 7p + 8+ p + 6 - 4p?
A. 2(2p + 7)
B. 2(2p + 1)
C. 2(8p - 5)
D. 4(p +1)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
is my answer correct?
Answer:
It would be the first.
Step-by-step explanation:
a1 = -1
a2 = -1 + 0.5 = -0.5
a3 = -0.5 + 0.5 = 0
etc.
factorize 27x^3-16y^3
Answer:
This expression can not be factored with rational numbers.
The polynomial is not factorable with rational numbers.
if M = 1 over 6 find M(-1 over -2) fully reduced
Answer:
[tex]\large\boxed{M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{12}}[/tex]
Step-by-step explanation:
[tex]M=\dfrac{1}{6}\\\\\dfrac{-1}{-2}=\dfrac{1}{2}\qquad\qquad\bigg(\dfrac{negative}{negative}\to positive\bigg)\\\\M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{6}\left(\dfrac{1}{2}\right)=\dfrac{(1)(1)}{(6)(2)}=\dfrac{1}{12}[/tex]
Help Me ASAP
A builder is buying property to buy new houses. The sizes of the lots are 1/6,1/2,1/3,1/2,1/6,1/2,1/2,1/3,1/6,1/2,1/6,1/2,1/6,1/6,and 1/3 acre. Organize the information in a line plot
What is the average size of the lots?
______acre
i know how to do a line plot just can't figure the answer out.
Final answer:
To find the average size of the lots provided, organize the information in a line plot and calculate the average by summing the areas of the lots and dividing by the total number of lots.
Explanation:
Line Plot:
Average Size of Lots:
1/6 acre (3 lots)
1/2 acre (6 lots)
1/3 acre (3 lots)
To find the average size, add the areas of all lots and divide by the total number of lots. In this case, the average size of the lots would be 17/36 acre.
a point occupies zero dimensions true or false
Answer: True.
Step-by-step explanation:
In geometry , we have three undefined terms as :
1) point [ no dimension]
2) line [ one dimension]
3) plane [ two dimension]
A point is just a tiny mark on Cartesian plane which has no length like a line , no width and area like a plane or no volume like a three dimensional shape . We can use only its location but cannot measure it.
Hence, it has no dimension.
Hence, the given statement "a point occupies zero dimensions" is a true statement.
Answer:true
Step-by-step explanation:
determine the coefficient of the term “-15x”
-15 because -15x is the variable term
Answer:
Step-by-step explanation:
The "coefficient" of x here is -15.
"determine the coefficient of the term “-15x” " is not a valid question.
3.Find the length of the missing side the triangle is not drawn to scale 37 and 35
The length of the missing side is 12.
The length of the missing side of the triangle can be calculated using pythagoras rule ;
Adjacent² = hypotenus² - opposite²
Substituting our values ;
a² = 37² - 35²
a² = 1369 - 1225
a² = 144
Take the square root of both sides ;
a = √144
a = 12
Hence, the length of the missing side is 12.
Basd on the right-angled triangle, the length of the missing side is equal to 12 units.
In Mathematics and Euclidean Geometry, Pythagorean theorem can be represented by the following mathematical equation (formula):
[tex]z^2=x^2 + y^2[/tex]
Where:
x is the opposite side of a right-angled triangle.
y is the adjacent side of a right-angled triangle.
z is the hypotenuse of a right-angled triangle.
Note: Let the variable "x" represent the missing side length.
In order to determine the missing side length, we would have to apply Pythagorean's theorem as follows;
[tex]37^2=x^{2} +35^2\\\\x^2=37^2-35^2\\\\x^{2} =1369-1225\\\\x^{2} =144\\\\x=\sqrt{144}[/tex]
x = 12 units.
Find the probability of not rolling factors of 5 on both die
Answer:
Step-by-step explanation:
2 factors of 5 on each die (2x2=4-12=8) so the answer would be 8
Solve the equation for y. 2x + 5y = 5
Answer:
see explanation
Step-by-step explanation:
given
2x + 5y = 5 ( isolate the term in y by subtracting 2x from both sides )
5y = 5 - 2x ( divide both sides by 5 )
y = [tex]\frac{5-2x}{5}[/tex]
To solve 2x + 5y = 5 for y, subtract 2x from both sides and then divide by 5 to get y = 1 - (2/5)x.
To solve the equation 2x + 5y = 5 for y, we need to isolate y on one side of the equation. Here are the steps to do it:
Subtract 2x from both sides of the equation to get 5y = 5 - 2x.Divide both sides of the equation by 5 to solve for y, which gives us y = (5 - 2x) / 5.Therefore, the solution for y in terms of x is y = 1 - (2/5)x.
1 cm
3 cm
4 cm
8 cm
3 cm
4 cm
8 cm
7 cm
Make up any division equation thay has a solution of -2
Help with function homework
-2
the minimum value means the vertex, and to find the vertex use the formula -b/2a which would give you -2 which is the axis of symmetry then plug in -2 for x to get the minimum value. 2(-2)^2 + 8(-2) + 6 = 8 - 16 + 8 = -2 .the vertex point would be (-2,-2)
Jinny is selling bracelets for $4.50. So far, she has earned $315.00. She needs to earn more than $441.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal?
A.
x > 70
B.
x > 168
C.
x > 28
D.
x > 98
Answer:
Step-by-step explanation:
hey if i've done it correctly its C.28.
first do 441.00 - 3.15.00 = 126
then do 126.00 divided by 4.50 = 28
What type of graph would you use for a set of numerical data with a range of 90, from 5 to 95, where you wanted to find the typical data value?
Answer: A scatter plot
Answer:
stem-and-leaf plot
have a good day
Tell whether the given ordered pair is a solution of the equation 4y + 2x = 3; (1.5,0)
Answer:
Yes, it is a solution
Step-by-step explanation:
Plug the given (x, y) point of (1.5, 0) into the equation to find out...
4(0) + 2(1.5) = 3
0 + 3 = 3
3 = 3
The given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
What does the solution of an equation mean?The solution of an equation, when substituted makes the left-hand side equal to the right-hand side. It is the value for which the LHS = RHS.
We can determine whether the ordered pair is a solution as shown below:The equation is 4y + 2x = 3.
The given ordered pair is (x,y) = (1.5,0). Now substitute the values of x and y.
4y + 2x = 3
⇒ 4(0) + 2(1.5) = 3
⇒ 0 + 3 = 3
⇒ 3 = 3
Therefore, we have determined that the given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
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