Answer: 1/2 miles
Step-by-step explanation:
Given the following:
Altitude (miles) - - - - - - - - - - distance (miles)
3 1/2 - - - - - - - - - - - - - - - - - - - 250
2 1/2 - - - - - - - - - - - - - - - - - - - - 175
Calculate the plane's altitude at 25miles from the airport
7/2 = 250
5/2 = 175
(7/2 - 5/2) miles = (250 - 175)miles
1 mile = 75 miles
From the above, the plane craft 's altitude reduces by 1 mile for every 75 miles moved
Therefore, at a distance of 25 mile from the airport,
Distance moved = (250 - 25)miles = 225miles
225miles / 75 miles = 3
Therefore, the altitude will reduce by 3 miles from the initial altitude at 250 miles
Therefore,
( 3 1/2 - 3) miles = 1/2 miles
Therefore, the plane craft will have an altitude of 1/2
100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
11 16/75
Step-by-step explanation:
Find the mean: sum/n
783/30
26.1
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
11 16/75
If the quadratic model applies the function f(x) = -0.11688x² + 2.5355x + 7.0238, what is the predicted value and residual when the tree is 7 years old with a height of 19?
Answer:
predicted value = 19.04518
Residual = -0.04518
Step-by-step explanation:
Residual = y - predicted y
In this case y = 19 for a 7 year old tree.
f(7) = 19.04518
Residual = 19 - 19.04518
Residual = -0.04518
Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
4.5
6
14
15.5
Answer:
The standard deviation from the mean is the square root of the variance.
Therefore, SD = sqrt(VAR) = sqrt(36) = 6
Hope this helps!
:)
:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
RESULUTIONS
4.5
6
14
15.5
ANSWER.=6
Help me pleaseee someone
Answer:
55°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (35 + 90) = angle B
180 - (125) = angle B
55 = angle B
So, angle B has a measurement of 55°
solve the equation for x and enter your answer in the box below
x + 14 =27
Answer: x = 13
Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.
So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.
The +14 -14 cancels out so we're left with x on the left.
On the right, we must subtract 14 from 27 to get 13.
So we have x = 13 which is the solution to this equation.
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]
Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10 d plus 0.05 n equals 5.25, where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?
Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Answer:
she has 63 nickels
Step-by-step explanation:
21 dimes = 2.10$
5.25 - 2.10 = 3.15
3.15 ÷ 0.05 = 63
63 = 63 nickles
Hope this helped :3
2x² - x-6=0 resuelve
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?
Answer:
Slant height of the pyramid = 11.66 m
Step-by-step explanation:
A squad pyramid has a volume of
V = ⅓ × (area of base) × (vertical height)
Area of the pyramid's square base = 144 m²
Volume = 384 m³
384 = ⅓ × 144 × (vertical height)
Vertical height = (3×384)/(144) = 8 m
But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.
The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.
The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.
Area of the square base of the pyramid = 144 m²
Area of a square = (side length)²
Side length = √(Area of the square) = √144 = 12 m
Using Pythagoras theorem,
(Length of the diagonal)² = 12² + 12² = 288
Length of the diagonal = (12√2) m
Half of the length of the diagonal of the square base = 6√2 m
Using Pythagoras theorem further
(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²
(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136
Slant height of the pyramid = √136 = 11.66 m
Hope this Helps!!!
Can y'all help my little sister i am workin right now so i can't answer but pleaseee.
i need the missing blanks .
Answer:
K, (-3.5,-5), E, (3.5, 3)
Step-by-step explanation:
Find the surface area of a right cone that has a diameter of 11.2 feet and a height of 9.2 feet. Round your answer to the nearest hundredth.
Answer:
S=288ft^2
Step-by-step explanation:
d=11.2ft, h=9.2ft
r=d/2=11.2/2=5.6
e=√r^2+h^2=√5.6^2+9.2^2
e=10.77ft
s=πr^2+πre
s=π(5.6)^2+π(5.6) (10.77)
s=91.67π
s≈288ft^2
If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be
r = d/2
r = 11.2/2
r = 5.6
Then the slant height of the cone will be
[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]
Then the surface area of the cone will be
[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
You buy a basket of 24 strawberries. You eat them
as you walk to the beach. It takes the same amount of time to walk
each block. When you are halfway there, half of the berries are gone.
After walking 3 more blocks, you still have 5 blocks to go. You reach
the beach 28 minutes after you began. One-sixth of your strawberries
are left.
a. Is there enough information to find the time it takes to walk each
block? Explain.
b. Is there enough information to find how many strawberries you
ate while walking the last block? Explain.
Answer:
yes
Step-by-step explanation:
there is enough information
Humberto deposited $50 in a new account at his bank. The bank pays 5.3% annual simple interest on this account. Humberto makes no additional deposits or withdrawals. How much money will be in his account at the end of 5.5 years?
Answer:
$58.415
Step-by-step explanation:
Initial value: 50 dollars
Independent variable: 5.3%
Dependent variable: Y
This equation can be written in slope intercept form:
[tex]y=mx+b[/tex]
[tex]y= 1.53x+50[/tex]
x= the number of years
[tex]y= 1.53(5.5)+50[/tex]
[tex]y=8.415+ 50[/tex]
[tex]y= 58.415[/tex]
21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
Construct a histogram to display for each given data set.
The data for the circumferences of the pumpkins in the Jeffiers' family pumpkin crop are 22.1, 35.6, 15.8, 36.9, 40.0, 28.5, 38.4, 20.4, 25.8, 34.1, 39.9, 42.2, 24.3, 22.7, 19.8, 27.9, 22.2, 34.3, 40.4, 20.6, 38.2, and 18.1. Use 10 sx < 20 as the first interval.
Answer:
See attachement
Step-by-step explanation:
The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.
Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:
Answer:
x+y ≤20
3.50 x +8 y ≤150
Step-by-step explanation:
Hi, the rest of the question is:
How do you write a system of linear inequalities to model the situation?
So, for the first inequality:
The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.
x+y ≤20
For the second inequality:
The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.
3.50 x +8 y ≤150
In conclusion, the system is:
x+y ≤20
3.50 x +8 y ≤150
Reduce the following mixed number 2 2/8
Answer:
2 1/4
Step-by-step explanation:
2 2/8
The top and bottom of the fraction can be divided by 2
2 1/4
What is the mean and median of 25,50,58,54,55
Answer:
median = 58
mean= 48.4
Step-by-step explanation:
to find the mean you add all of the numbers and divide it by 5 in this case
Twice the difference of a number and 7 is at most-17.
Answer:
[tex]x\leq 15.5[/tex]
Step-by-step explanation:
For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?
Answer:
40 students per bus
Step-by-step explanation:
147 (Og #)-27(Number riding cars, irrelevant)=120
120/3 (# of buses)= 40 students per bus
Answer:
40 students
Step-by-step explanation:
First, let’s find how many students rode the buses.
There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.
The difference between 147 and 27 will be how many took buses.
Subtract 27 from 147
147-27=120
120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.
120/3=40
Therefore, 40 students were on each bus.
3x-2y=2 in slope intercept form
Answer:
y= - 3/2x + 1
A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?
Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
False
Step-by-step explanation:
3/4 = 9/16
Multiply the left side by 4/4 to get a common denominator
3/4*4/4 = 12/16
This is not equal to 9/16 so this is not a proportional relationship
Answer:
False
Step-by-step explanation:
3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.
Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.
Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.
Answer:
[tex]r = 16[/tex], [tex]s = -48[/tex]
Step-by-step explanation:
The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:
[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]
By comparing each expression, the results are presented below:
[tex]r = 16[/tex], [tex]s = -48[/tex]
I need answers asap
Answer:
22/24
Step-by-step explanation:
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$5,368,709.12
Step-by-step explanation:
Kono Dio Da!!
Answer:
5368709.12
Step-by-step explanation:
i just did this earlier
8y=4x-32/2 slope intercept form
Answer:
y=0.5x-2
Step-by-step explanation:
8y=4x-32/2
First thing you are going to do is solve for 32/2=16 and then enter it into the equation.
8y=4x-16
Second thing you are going to do is divide everything by 8 to get rid of 8y.
8y=4x-16
-------------
8
4/8=0.5 and 16/8=2
y=0.5x-2
determine whether the function represented by the equation is quadratic
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10
Answer:
Step-by-step explanation:
We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.
1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.
2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.
What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4
d) -4 1/2y + 2
Answer:
B. -3 1/2y + 2
Step-by-step explanation:
Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].
Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:
[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]
Now, we have:
[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]
We want to combine like terms, which means combining all the terms with y in them:
[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]
Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:
-3 1/2y + 2
The answer is thus B.
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