Answer:
The possible maximum answer could be 40,000.
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = x^2+2
please help and thank you!
Answer:
Its d i took the class
Step-by-step explanation:
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
PLEASE HELP! I will give brainliest
A) y intercept is (0,3)
C) Axis of symmetry is x = -1
D) Vertex is (-1, 4)
So basically everything but choice B is true.
========================================
Explanation:
Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.
-------------------
To check choices B through D, let's convert the equation into vertex form.
y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where
a = -1
b = -2
c = 3
The vertex is located at (h,k) such that h = -b/(2a)
Plug the values of 'a' and 'b' into the equation below
h = -b/(2a)
h = -(-2)/(2*(-1))
h = 2/(-2)
h = -1
The x coordinate of the vertex is x = -1
Then use this to find the y coordinate of the vertex
y = -1x^2 - 2x + 3
y = -1(-1)^2 - 2(-1) + 3
y = 4
The y coordinate of the vertex is 4, meaning k = 4
The vertex overall is (h,k) = (-1, 4)
This shows choice D is true, meaning choice B has to be false.
Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.
which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2
A. i only B. iv only
C. i and ii only
D. iii and iv only
Answer:
The answer is A only i. (0)
Answer:
D
Step-by-step explanation:
Given
x(x + 3)(x - 1)(2x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus
x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots
Hence
111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D
One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8
Answer:
1.2
Step-by-step explanation:
apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this
Please help me
Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:
Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4
Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4
Step 3: $136.49 − $3.0625 = $133.4275
In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.
Answer:
1) Step 3: S = $136.49 - $3.0625 × 1/4
2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4
Step-by-step explanation:
1) From the given information, we have;
The amount amount Maria earns as a pet sitter = $32.75
The number of weeks Maria worked as a pet sitter = 2 weeks
The amount Mariah previously saved = $70.99
The amount Maria spent = $12.25
The amount Mariah put in her savings account = 1/4 of the remaining (balance) money
Therefore, we have;
The amount placed in Mariah's savings account, S, is given as follows;
Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4
Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4
Step 3: S = [($136.49) - $12.25] × 1/4
Step 4: S = $124.24 × 1/4
Step 5: S = $31.06
The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;
Step 3: S = $136.49 - $3.0625 × 1/4
2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.
-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5
Answer:
I am sorry what are you showing
7x – 3y = 42
solve for x when y = 0
solve for y when x = 0
Step-by-step explanation:
y=0
7x-3*0=42
7x=42
x=42/7=6
x=0
7*0-3*y=42
-3y=42
y=-42/3=-14
Answer:
y=-14, x= 6
Step-by-step explanation:
What is the solution to this equation
-4x + 2 = 26
Answer:
x=-6
Step-by-step explanation:
Move all terms that don't contain x to the right and solve using the elimination process.
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
mplify the expression:
| 5q + 84 - 94 + 84
Answer:
5q+74
Step-by-step explanation:
84-94 first which equals -10
then add that by 84 which equals 74
lastly just bring the 5q and 74 together making your expression
A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item
Answer:
A belt costs $15 and a wallet costs $27.
Step-by-step explanation:
Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:
x + y = $42
7x + 4y = $213
The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:
-4x - 4y = -168
7x + 4y = 213
Now, we simply add these two equations up:
-4x - 4y + 7x + 4y = -168 + 213
3x = 45
x = $15
Now, we plug in x into any of the two starting equations to find y:
x+y=42
15 + y = 42
y = $27
I think of a number, multiply it by 5 and subtract 3 from the result
Answer:
Do you need the result of the end?
Step-by-step explanation:
5*3=15
15-3=12
Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?
Answer:
D.
Step-by-step explanation:
to prove congruency of two triangles, you need two congruent sides and one congruent angle
in this case we are given exactly that, 2 sides and one angle that is congruent
we would also need to make sure that the given sides and angles are actually congruent, and not mismatched
we can do this by looking at the positions of the letters in each congruency statement
for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched
if you do this with every statement that you are give, you can see that the triangles can be proven by SAS
Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos
Answer:
I think the answer would be A
Answer:
A
Step-by-step explanation:
IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range
f(x) = 2/7x - 2
i am giving brainliest to the first person that answers this and follows all the directions
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Bet.
Step-by-step explanation:
PLEASEEE HELPPP I NEED THIS TODAY!!
Answer:
you can look up these online it will give u the diagram and u can put it in on calculators I used to do that
A ≈ 452.39
Hope you get a good grade
What is the x-intercept of the line graphed on the grid?
Answer:
2
Step-by-step explanation:
If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.
What is the range of the relation?
what is always true about a line that Slants downward from left to right select all that apply help plz
Answer:
A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.
Step-by-step explanation:
given that
f(n) = n^2 - 4n + 3
& g(n) = 2n - 1
find gf(-2)
Answer:
The value of [tex]gf\left(-2\right)[/tex] will be:
[tex]gf\left(-2\right)=29[/tex]Step-by-step explanation:
Given the functions
[tex]f(n) = n^2 - 4n + 3[/tex]
[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]
[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]
[tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]
[tex]=2^2+4\cdot \:2+3[/tex]
[tex]=2^2+8+3[/tex]
[tex]=4+11[/tex]
[tex]=15[/tex]
so
[tex]gf\left(-2\right)=g\left(15\right)[/tex]
[tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]
Therefore,
[tex]gf\left(-2\right)=29[/tex]Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
learn more on expression here:https://brainly.com/question/12879207
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The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?
Answer:
Step-by-step explanation:
x is positive and y is negative
Answer:
(x,-y)
Step-by-step explanation:
5. A girl is told to buy some melons and oranges. Melons are 50c each and oranges 25c each, and she has $2 to spend. She must not buy more than 2 melons and she must buy at least 4 oranges. She is also told to buy at least 6 fruits all together.
Let x be the number of melons
Let y be the number of oranges.
a) Write down four inequalities which must be satisfied.
b) Draw a graph and use it to list the combinations of fruit that are open to her.
Answer:
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
Step-by-step explanation:
The price per Melon = 50c = $0.5
The price per orange = 25c = $0.25
The amount she has to spend = $2
The number of melons she must buy ≤ 2
The number of oranges she must buy ≥ 4
The total number of fruits she should ≥ 6
Let x be the number of melons
Let y be the number of oranges
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel
The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges