Answer: 10 miles
Step-by-step explanation:
Mile 1: 3.00
Mile 2: 3.50
Mile 3: 4.00
Mile 4: 4.50
Mile 5: 5.00
Mile 6: 5.50
Mile 7: 6.00
Mile 8: 6.50
Mile 9: 7.00
Mile 10: 7.50
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
Differentiate w.r.t time (t)
[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]
[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
From the question, we have that the plan travels are 510mi/h.
This implies that:
[tex]\frac{dx}{dt} = 510mi/h[/tex]
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
[tex]y = 2mi[/tex]
Apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
[tex]x^2 + 1^2 = 2^2[/tex]
[tex]x^2 + 1 = 4[/tex]
[tex]x^2 = 4-1[/tex]
[tex]x^2 = 3[/tex]
[tex]x = \sqrt 3[/tex]
So, the expression becomes:
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]
[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]
[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]
[tex]\frac{dy}{dt} = 441.655[/tex]
[tex]\frac{dy}{dt} = 442[/tex]
Hence, the distance is 442 miles
write an equation of the line that passes through the given point and has the given slope (6,4) slope -3/4
Answer:
Its slope is
m = -1/(1/2) = -2
y = -2x + b
Get b from the given point.
-4 = -2(6) + b
b = 8
y = -2x + 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given slope (m) = -3/4
and x1 = 6
and y1 = 4
Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)
-3/4 = (4-y1)/(6-0)
-3/4 = (4-y1)/6
-(3/4)*6 = 4 - y1
-18/4 = 4 - y1
y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2
therefore the correct answer should be:
Equation of the line:
y = -3/4x + 8 1/2
Write an expression that is equivalent to 30(x + y + 1)
Does this situation involve a permutation or a combination, then solve? Selecting 4 out of 50 minions to compete in a dancing competition.
Answer:combination
Step-by-step explanation: just did the assignment
List the containers from least to greatest: 1.73, 2.061, 1.59, 2.1
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births.
The value of the mean is__ (Type an integer or a decimal. Do not round.)
The value of the standard deviation is __. (Round to one decimal place as needed.)
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ girls or fewer are significantly low. (Round to one decimal place as needed.)
Values of ___ girls or greater are significantly high. (Round to one decimal place as needed.)
c. Is the result of 32 girls a result that is significantly high? What does it suggest about the effectiveness of the method?
The result is/is not significantly high, because 32 girls is greater than/equal to/less than ___ girls. A result of 32 girls would suggest that the method is not effective/is effective.(Round to one decimal place as needed.)
Answer:
A) Mean = 21.5
Standard deviation = 3.3
B) - Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) - The result is significantly high, because 32 girls is greater than 28.1 girls
-A result of 32 girls would suggest that the method is effective.
Step-by-step explanation:
A) We are given;
Number of couples; n = 43
Probability it is a girl; p = 0.5
Formula for mean is;
Mean; x¯ = np
x¯ = 43 × 0.5
x¯ = 21.5
Formula for standard deviation is;
SD = √(np(1 - p))
SD = √(43 × 0.5 × (1 - 0.5))
SD = √(43 × 0.5²)
SD ≈ 3.3
B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.
Thus, we have;
x¯ ± 2SD
This gives;
21.5 ± 2(3.3)
That is;
21.5 + 6.6 and 21.5 - 6.6
To get; 28.1 and 14.9
This means that;
- Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high
- A result of 32 girls would suggest that the method is effective.
Solve for x. 5a/x = 5b/ x-1
Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).
Step-by-step explanation:
2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76
Answer:
The answer to this question is A
Answer:A:42.192
Step-by-step explanation:
line them up by the decimals and place value
39.24
+2.952
add a zero onto 39.24 to line them up correctly
39.240
+2.952
then add to get an answer of
A:42.192
Answer each question. Assume x>0. a. What percent of 8x is 5x? 5x is % of 8x. b. What is 65% of 80x? 65% of 80x=.
I will give 100 points
since both numbers have an x, the first question might as well be asking 5 is what % of 8.
This can be found using division, 5/8=0.625 This also meant that the answer is 62.5 %
For the second question, to find the answer, you just gave to multiply the 2 numbers.
65%*80x=52
Done!
The slope of the line shown below is 1/2
Someone Please Help Me
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2
Explanation:
Remember Rise/Run
1/2
So if they went "Run" 4 units
then the equivalent to 1/2 is 2/4
Therefore the value of a is 2!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A rectangular prism has a volume of 80 m3. What is the length of the rectangular
base if it has a height of 10 m and width of 2 m?
Hey there!
The answer is 4 meters, or 4 m.
The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:
lwh = V
l(2)(10) = 80
Simplify:
20l = 80
Divide both sides by 20:
l = 4
Have a terrificly amazing day! :)
Given the phrase "Rules of Exponents," what might the word "Rules" mean?
Answer
I think they are things that you have to follow in order to work with the exponents
Only need help 4 to 8 please Please help me my sister in the hospital and I don’t know how to do this type of homework I’m trying my best :( pray for my sister please
Answer:
I'm so sorry for ur sister
John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?
Answer:
$546000
Step-by-step explanation:
($65000×8%)(2)
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS PLS
Answer:
z=13
Step-by-step explanation:
If k=9 and x=5, find the value of the expression:
2k - X
Please hurry
Answer:
[tex]\huge\boxed{13}[/tex]
Step-by-step explanation:
= 2k - x
Given that k = 9, x = 5
= 2(9) - 5
= 18 - 5
= 13
[tex]\rule[225]{225}{2}[/tex]
Hope his helped!
~AH1807Someone help me please
Answer:
15.66 cm
Step-by-step explanation:
180-66.4=113.6°
113.6÷360=0.315555555, which equals 31.55555% of the circumference
2x3.14x7.9=49.612 would be the entire circumference.
So...
31.5555555% of 49.612=15.6554 cm
A worker at a mill is loading 8 lb bags of flour into boxes to deliver to a local warehouse. Each box holds 5 bags of flour. If the warehouse orders 2 tons of flour how much are needed to fulfill the order?
Answer:
100 boxes i think :))
Step-by-step explanation:
For every 5 pounds of tomatoes ordered, the restaurant orders 9 pounds of onions. If Everly orders
108 pounds of onions, how many pounds of tomatoes will she need to order?
Type or write your answers in the box below.
Answer:
[tex]\left[ 60- pounds][/tex]
Step-by-step explanation:
Ratio of tomatoes to onions = 5:9
so now it will be
5x: 108
we can solve it by doing this
x = 108/9
x = 12
so we multiply
5*x = 5x
5*12 = 60
She would need 60 pounds
Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
Answer:
[tex]H'I = 48[/tex]
Step-by-step explanation:
Given
See attachment for complete question.
From the attachment, we have:
[tex]GH=16.5[/tex]
[tex]HI =24[/tex]
[tex]IJ = 17[/tex]
[tex]JG =32.2[/tex]
[tex]k = 2[/tex] --- Scale factor
Required
Find H'I
The corresponding side of H'I is HI.
So:
H'I is calculated as:
[tex]H'I = k * HI[/tex]
This gives:
[tex]H'I = 2 * 24[/tex]
[tex]H'I = 48[/tex]
Answer I to j is 42
Step-by-step explanation:
What is her average?
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
I need help with this problem??!?!
Answer:
155
Step-by-step explanation:
<MEY= <PEX because they are vertical angles
<PEY = 180 because it is a straight angle, so 180-25 = 155
Answer:
155
Step-by-step explanation:
yup
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
pls help! the function g is defined as follows for the domain given
g(x)=1-2x domain={-3,-1,2,4}
write the range of g using set notation then graph g
Answer:
somebvody come get her-
Step-by-step explanation:
:D
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answer: i think c
Step-by-step explanation:
Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment
hope this helps you...
.....
Step-by-step explanation:
observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164numbers of observation = 12mean = 164 ÷ 12 = 13.67- Adrian's car gets about 12.5 kilometers per liter. He is planning a 1,600 kilometer trip.
a) About how many liters of gas should Adrian plan to buy? Round your answer to the nearest liter.
b) At an average price of $0.90 US per liter, how much should Adrian expect to spend for gas?
Answer:
[tex]\Large \boxed{\sf a)\ 128 \ liters \ \ \ b)\ \$ \ 115.20}[/tex]
Step-by-step explanation:
a) distance/unit rate = 1600/12.5 = 128
b) liters of gas × unit price = 128 × 0.90 = 115.2
Answer:
a) 128 liters
b) $ 115.2
Step-by-step explanation:
Part a)
12.5 km = 1 liter
1 km = 1/12.5 liters
Multiplying both sides by 1,600
1600 km = 1600 / 12.5 liters
1600 km = 128 liters
Part b)
1 liter = $ 0.90
128 liters = 128 * 0.90
128 liters = $ 115.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Solve for x in the triangle. Round your answer to the nearest tenth
Answer:
9.1
Step-by-step explanation:
Tangent 33=x/14
x=14*Tan 33
x=9.1(nearest tenth)
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters
Answer:
B. 40 meters
Step-by-step explanation:
there are 100 cm in a meter
we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.
4,000/100 = 40
Therefore, the answer is B. 40 meters
hope this helps :)