Answer:
(3,4)
Step-by-step explanation:
Circle and Arcs
x + y + z =[ ?]
+
2
8
2
Least multiple that is the sam
Add using renamed fractions
Answer:
no
Step-by-step explanation:
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 160 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
The time it would take to get closest to Mt Rainier, t ≈ 8.53 × \(10^{-3}\) hours.
What is the separation of a line from a point?The perpendicular distance of a point to a line is the closest distance between them. The length of the perpendicular segment connecting a point to a line is the distance between them.
It would take roughly 5.12 minutes to go to the closest point to Mount Rainier.
The following justifies why the value is accurate:
The given parameters are;
The flight's direction is 201 kilometres south and 160 km east.
Mount Retainer is situated 56 kilometers east and 40 kilometers south of JBLM.
Flight velocity is 800 km/h.
The travel path's slope, in m, is given as follows:
m = -201/160
=1.2
The equation of the path is therefore;
y+201 = -1.2(x-160)
y = -1.2(x-160) - 201
The required slope for the perpendicular distance from the travel path to the Mt Rainier, m', is therefore;
m' = -1/m
Which gives;
m' = 1/1.2
The equation of the line is therefore;
y+ 40 = 1/1.2(x-56)
y = 1/1.2(x-56)-40
The coordinates of the point where the two lines meet is therefore;
-1.2(x-160)-201 = 1/1.2(x-56)-40
solving this we get
x = 22.46
y = -67.83
The magnitude of the distance in km is, d = 71.451
The time it will take to be closest to Mt. Rainier, t, is given as follows;
t = 71.451/800
t = 8.9×\(10^{-3}\)
The time it would take to get closest to Mt Rainier, t ≈ 8.53 × \(10^{-3}\) hours.
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i need to solve this question, please!!
The table should be completed as follows;
Year Starting Balance Interest Ending Balance
1 $8500 $510 $9010
2 $9010 $510 $9520
3 $9520 $510 $10030
4 $10030 $510 $10540
5 $10540 $510 $11050
How to calculate the simple interest and future value?In Mathematics, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P is the principal or starting balance.R is the interest rate.A is the future value or ending balance.T represents the time measured in years.By substituting the given parameters into the simple interest formula, we have;
S.I = 8500 × 6/100 × 1
S.I = 8500 × 0.06 × 1
S.I = $510.
Note: The simple interest rate of $510 would be constant.
After 1 year, we have:
Ending balance, A = S.I + P
Ending balance, A = $510 + $8500
Ending balance, A = $9010.
After 2 years, we have:
Ending balance, A = $510 + $9010
Ending balance, A = $9520.
After 3 years, we have:
Ending balance, A = $510 + $9520
Ending balance, A = $10030.
After 4 years, we have:
Ending balance, A = $510 + $10030
Ending balance, A = $10540.
Next, we would calculate the ending balance after 5 years as follows;
Ending balance, A = $510 + $10540
Ending balance, A = $11050.
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Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
Question
8 - (-7) =
Plz help me!!!
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
An airplane can travel 350mph in still air. If it travels 1995
miles with the wind in the same length of time it travels 1505
miles against the wind, what is the speed of the wind?
The speed of the wind is 100 mph.
What is speed?
The speed is defined as the rate at which a particular object covers a certain amount of distance. This speed can be fast or slow. An object covering a great distance in short period of time indicates a high speed and an object covering small distance in a large period of time depicts a slow speed.
Let's call the speed of the wind "w" (in mph).
When the airplane is flying with the wind, its effective speed is the sum of its speed in still air and the speed of the wind:
effective speed with the wind = 350 + w
When the airplane is flying against the wind, its effective speed is the difference between its speed in still air and the speed of the wind:
effective speed against the wind = 350 - w
We know that the airplane travels 1995 miles with the wind in the same length of time it travels 1505 miles against the wind. This means that the two distances are traveled at the same speed, which we can express using the formula:
distance = speed × time
So we can write two equations based on the distances traveled:
1995 = (350 + w) × time
1505 = (350 - w) × time
We want to find the value of "w" that satisfies both equations. We can solve this system of equations by eliminating "time" and solving for "w":
1995/(350 + w) = 1505/(350 - w)
1995(350 - w) = 1505(350 + w)
698250 - 1995w = 527750 + 1505w
349500 = 3500w
w = 100
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Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
????
necesito ayuda con estas operaciones
3x=12
3x= -5=0
x+4=17
9y+3=21
5(x-2)=20
x÷2=4
2x÷=4
5÷x=2
4x+5=3x-6
3(x-2) =0
x÷3-4=0
5(7-x) =31-x
3(2x-2) =2(3x+9)
The expressions are illustrated below.
How to compute the expression?3x = 12
x = 12/3
x = 4
x + 4 = 17
x = 17 - 4
x = 13
9y + 3 = 21
9y = 21 - 3
9y = 18
y = 18/9
y = 2
x ÷ 2 = 4
x = 4 × 2
x = 8
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Taylor and Alex are looking for a daycare for their child. They want to make sure the daycare is midway between their jobs. Taylor works at the Rogers Middle School located at (4, -5), and Alex works at St. Philip's located at (2, 5). Where should the daycare be located?
The location of the coordinate of the daycare is (3, -1.5)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinate is expressed as;
M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}
Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:
M(x, y) = {(4+2/2, -5+2/2)}
M(x, y) = (6/2, -3/2)
M(x, y) = (3, -1.5)
Hence the location of the coordinate of the daycare is (3, -1.5)
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Please solve, Thank you very much!
Step-by-step explanation:
The domain is over the interval -2pi, and 2pi, exclusive So the domain is
(-2pi,2pi)
plssssssss help i will give brainliest if correct ok just plss help me and pls dont guess bc i need a good grade
Answer: d
Step-by-step explanation:
i think that's the answer sorry if i'm wrong
Given: AB=BC,AM=MC
BM IAC , EF I BC
EC
FC
Prove:
AB
MA
B
F
с
A
EM
Answer:
AB=BC,AM=MC
BM IAC , EF I BC
Step-by-step explanation:
AB
MA
B
F
с
A
5 × what number over 3 is greater than 5
Answer:
I think it's 8. Hope this helps you (:
Will likes two brands of healthy breakfast cereal. In Superfiber
fiber in one cup. In Fiber Oats cereal, there are 4 grams of fib
the number of cups of Superfiber Will ate this week and let yr
Fiber Oats he ate this week. Which inequality represents the s
this week contained at least 30 grams of fiber?
O 5x + 4y = 30
O 5x + 4y = 30
O 4x + 5y = 30
4x + 5y = 30
Answer:
The first one I Took the test.
Step-by-step explanation:
A table of values of a linear function is shown below.
X
y
y-intercept:
slope:
-1
-5
equation:
0
-2
1
1
Find the y-intercept and slope of the function's graph, and find the equation for the function.
11
2
4
3
7
DO
X
0/0
08
0=0
The y intercept of the graph is 1/2, slope is 1/2 and the equation is 2y = x+1
What is y intercept?The y intercept of a graph is a point where the line intersects the y-axis.
Given is the table of the values of a linear function,
Considering two coordinates, (-1, -5) and (0, -2)
We know that, the slope of a line is given by = (y₂-y₁)/(x₂-x₁)
Slope = (-2-0)/(-5+1) = 2/4 = 1/2
slope = 1/2
The equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁)/(x₂-x₁)(x-x₁)
y-0 = 1/2(x+1)
y = x/2+1/2 or, 2y = x+1
For y intercept, put x = 0
y = 0/2+1/2
y = 1/2
Hence. the equation is 2y = x+1, slope = 1/2 and y intercept = 1/2
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Convert 4
3
5
cups to pints.
2 cups = 1 pint PLEASE HELP!
Answer:
4 cups=2 pint
3 cups=1.5 pint
5 cups=2.5 pints
Step-by-step explanation:
Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.
4/2=2
3/2=1.5
5/2=2.5
Let me know if you have any questions!
Which of the following speeds will produce lowest miles per gallon?
A. 35 mph
B. 105 mph
c. 45 mph
D. 55 mph
SUBMIT
Answer: B. 105 mph
Step-by-step explanation:
Answer:
trust me (D) is the correct answer can you mark b please thank you
Step-by-step explanation:
I hope it help you lot see you around
The composite bar chart Messages received shows the number of messages Tim received each day for five days.
a) How many texts did Tim receive on Monday?
b) How many emails did Tim receive on Thursday?
c) In total, what fraction of the messages were emails?
Give your answer in its simplest form.
We need to know about a composite bar chart to solve the question. The answer for (a) is Tim received 8 texts on Monday, (b) Tim received 4 emails on Thursday and (c) 0.52 of the messages were emails.
A composite bar chart is used when there are two sets of data that are connected and their frequencies are combined.In this question there are two sets of data emails and texts but both of them belong to the same category which is messages. For question (a) we can easily say from the diagram that the number of texts Tim received on Monday is 8.
For question (b) we need to find out the number of emails Tim received on Thursday, for this we have to look at the bar for Thursday and subtract the number of texts received from total number of messages to get the number of emails received that means, 15-11=4, so Tim received 4 emails on Thursday.
For question (c) we need to find the total number of messages received by Tim for five days, total number of emails received and then calculate the fraction of emails out of messages.
Total number of messages=14+16+14+15+14=73
Total number of emails=6+10+10+4+8=38
Fraction of emails over messages=\(\frac{38}{73}\)=0.52
Thus 0.52 of the messages were emails.
We analysed the composite bar chart to find out the answers of the three questions, Tim received 8 texts on Monday,4 emails on Thursday and 0.52 of the messages were emails.
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Answer:
a= 5
b= 7
c=
Step-by-step explanation:
The area of a rectangle is 16 1/3 square inches.The width is 4 2/3. Inches.Find the length
Answer:
Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:
Area = Length x Width
Substituting the given values, we get:
16 1/3 = L x 4 2/3
To solve for L, we can first convert the mixed numbers to improper fractions:
16 1/3 = 49/3
4 2/3 = 14/3
Substituting these values, we get:
49/3 = L x 14/3
To solve for L, we can multiply both sides by the reciprocal of 14/3:
49/3 ÷ 14/3 = L
Simplifying, we get:
L = 49/3 x 3/14
L = 7/1
L = 7
Therefore, the length of the rectangle is 7 inches.
Step-by-step explanation:
Which statement is true about the numbers marked on this horizontal number line?
A.
0.25 -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25
Answer:
B!
Step-by-step explanation:
The answer is B. id.k how to explain tho.
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
The new pyramid has a volume that is One-fourth the volume of the original pyramid.
The new pyramid has a volume that is One-half the volume of the original pyramid.
The new pyramid has the same volume as the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.
Answer:
B.)The new pyramid has a volume that is One-half the volume of the original pyramid.
Step-by-step explanation:
got it right on test.
Answer:
B
Step-by-step explanation:
I got it correct
A hotel room costs $435.92 for 4 nights. At the same rate, how much would it cost to rent the hotel room for 7 nights?
Answer:
basBdiqdia
Step-by-step explanation:
Answer:
$762.86
Step-by-step explanation:
$435.92/4 = $108.98
$108.98 · 7 = $762.86
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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If x = 8 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
Answer:
Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....
Using Diagonals: A = ½ × d1 × d2 sin (y)
Using Base and Height: A = b × h
Using Trigonometry: A = ab sin (x)
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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Find the volume of this rectangular prism. 3 in 3 in 8 in
Answer: 72
Step-by-step explanation: LxWXH
3x3x8=72