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Related Questions
After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the plane's altitude.
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Answer:
S=33000-2000tStep-by-step explanation:
Step one:
Let A be the altitude of the plane
Hence we can define a function that represents this scenario.
the rate at which the plane's altitude decreases is
=33000-17000/8
= 16000/8
=2000
The rate of decrease is 2000 ft per minute.
Thus for anytime "t" the expression for the altitude is
S=33000-2000t-------where t is the time in minute.
say we want to find altitude after 12 minutes
then t=12
substitute in the expression we have
S=33000-2000(12)
S=33000-24000
S=9000ft
Answer:
Part 1) Descending Rate = -2,000 ft/min
Part 2) Starting altitude value is 33,000 ft
Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is:
Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent
Step-by-step explanation:
Part 1)
The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):
Part 2)
When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft
Part 3)
We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b
by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:
with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:
Part 4)
The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.
Step-by-step explanation:
Which of the following is the graph of the function shown above?
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The given functions will be straight line graph as shown below
What are piecewise functionsPiecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.
The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;
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Can somebody please help me bc im so lost its ridiculous
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Answer:
1. A = 120
2. B = 98
3. C = 86
4. D = 176
Step-by-step explanation:
Answer:
1) 120° 2) 98° 3) 104° 4) 140°
Step-by-step explanation:
1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A
2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B
3) set the two angles equal to each other to find x. once x is found plug it in for ∠C
4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D
The 7th grade students at Palm Coast Middle School made some apple pies for a bake sale. The school cafeteria also donated 9 pies toward the effort. All the pies at the sale were cut into 8 pieces. If at least 224 pieces of pie were sold in all, how many pies did the students bake? (shown on number lines)
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Answer: at least 19
Step-by-step explanation:
Since there were at least 224 pieces of pie sold. We would divide the amount of slices of pie sold (224) by the amount of slices in each pie (8). Which would be (28) pies sold and then we would subtract the (9) pies that the school gave us, and we would end up with (19) pies.
I hope that can help you
If you go out to eat with 3 friends and you mea was $72.50 there is a 6.75% slaes tax and you should tip the waiter 15% how much should each person pay.
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Answer:
$29.42Step-by-step explanation:
Total cost of meal for the 3 friends = $72.50
sales tax = 6.75%
percent tip = 15%
Total %paid on meal = 6.75%+15% = 21.75%
Increment paid = 21.75% of $72.50
Increment paid = 21.75/100 * 72.50
Increment paid = 21.75 * 0.7250
Increment paid = $15.7685
Total amount paid = original cost + increment
Total amount paid = $72.50+$15.7685
Total amount paid = $88.26875
If the 3 friends paid $88.26875
Each person will pay $88.26875/3 = $29.42
Hence each person will pay $29.42
In a certain country, the true probability of a baby being a girl is 0.479. A mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy ? Round to 3 decimal places as needed
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Answer:
0.947
Step-by-step explanation:
We are told that the true probability of a baby being a girl is 0.479.
This means that probability of a baby being a boy is;
p = 1 - 0.479
p = 0.521
Now,using binomial probability distribution formula we can solve this problem.
P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.
This is;
P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)
P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)
P(1) = 0.229
P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)
P(2) = 0.3737
P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)
P(3) = 0.27096
P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)
P(4) = 0.0737
Thus;
P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737
P(X ≥ 1) = 0.94736
P(X ≥ 1) ≈ 0.947
evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will be canceled. At least how many participants must be present to have a class
Answers
Answer:
30
Step-by-step explanation:
50*(60/100)
=50*(3/5)
=30
PLS GIVE BRAINLIEST
The minimum number of participants will be 30
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Evelyn's yoga class has 50 participants. its rules require that 60% of them must be present for a class. If not, the class will be cancelled.
The minimum number of participants will be calculated as,
Number = 50 x (60/100)
Number = ( 5 x 6 )
Number = 30
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I had four numbers: 12, 8, 4, and ????? However, I remember that their average was 11. Please, help me to remember the number that I forgot!!! The number that our old math teacher forgot is
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Answer:
The number was 20
Step-by-step explanation:
As the average is 11 and the numbers are 4, so the total sum of numbers will be 11X4=44. now the sum of three numbers are (20+8+4)=24. So the last number will be= (44-24)=20. :)
Answer:
20, 12,8,4 average out to 11
Step-by-step explanation:
omni average calculator on google will help :)
Camila measured a line to be 17.5 inches long. If the actual length of the line is 18.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Please help, thanks :)
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This is because Percent Error= (Vobserved-Vtrue)/Vtrue
Also my name is Camila :) please mark me Brainliest
The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?
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Answer:
8 minutes
Step-by-step explanation:
The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.
Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.
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Answer:
Step-by-step explanation:
If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.
Let y represent the total cost and
x represent the number of gifts
According to direct variation]
y ∝ x
y = kx
k is the constant of proportionality
If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;
y = 10x
Hence the required relationship is y = 10x
Equation of the circle. Please help.
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3 1/2 gal = how many qt?
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0.75h + 3 = 12
What's the answer?
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Answer:
h = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.75h + 3 = 12
Step 2: Solve for h
Subtract 3 on both sides: 0.75h = 9Divide 0.75 on both sides: h = 12Step 3: Check
Plug in h into the original equation to verify it's a solution.
Substitute in h: 0.75(12) + 3 = 12Multiply: 9 + 3 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
h = 12
Step-by-step explanation:
Given
0.75h + 3 = 12 ( subtract 3 from both sides )
0.75h = 9 ( isolate h by dividing both sides by 0.75 )
h = 12
Greta offers to buy a team photo for 15 of her teammates, but 6 of them don't want one. If a team photo costs $2, how much will Greta spend on her teammates? Choose the correct expression and solution to this problem .
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9(2)=18
$18 is how much she will spend.
(There are no expressions or solutions to choose but i tried my best lololo)
Answer:
$18
Step-by-step explanation:
5 is not more than x
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Answer:10
Step-by-step explanation: 5 + x is 10 because x is a verable
3
EACH STUDENT BELOW MADE AN ERROR IN THEIR WORK WHEN SOLVING THEIR
EQUATION. USE THE TYPING TOOL TO ANSWER THE QUESTIONS IN EACH WHITE BOX.
CULLEN
SERAPHINA
JASPER
-6n + 22 = -4n + 14
- 10n + 22 - 14
-10n = -8
8.4y - 6.8 - -3.2y + 16.4
11.6y - 6.8 - 16.4
11.6y = 23.2
y = 11.6
26 - 32 - - +32
26 - 32 = 32
n - 0.8
b-8
VARIABLES ON BOTH SIDES
DESCRIBE CULLEN'S MISTAKE
DESCRIBE SERAPHINA'S MISTAKE:
DESCRIBE JASPER'S MISTAKE:
WHAT IS THE CORRECT SOLUTION?
WHAT IS THE CORRECT SOLUTION?
WHAT IS THE CORRECT SOLUTION?
More the detto, 2019
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Answer:
1) -6·n - (-4·n) = -10·n (The double negative should change to positive + sign here)
-6·n - (-4·n) = -6·n + 4·n = -2·n
The correct solution is;
n = 4
2) y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)
The correct solution is;
y = 2
Step-by-step explanation:
The given parameters are
-6·n + 22 = -4·n + 14
22 - 14= 6·n - 4·n = 2·n
8 = 2·n
n = 8/2 = 4
Cullen's mistake is as follows;
-6·n + 22 = -4·n + 14
-6·n - (-4·n) = -22 + 14
-6·n + 4·n = -22 + 14 (The double negative should change to positive + sign here)
-2·n = -8
n = -8/(-2) = 4
n = 4
2) 8.4·y - 6.8 = -3.2·y + 16.4
8.4·y - (-3.2·y) = -(- 6.8) + 16.4
11.6·y = 23.2 → y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)
y = 23.2/11.6 = 2
y = 2
3) The last equation has parts missing
Answer:
the answer is y=3.88894
Step-by-step explanation:
Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
interest that you earned in those 3 years is $39.60. Which of the following is/are true?
1 = 3
r=3.3%
p = 400
t = 39.60
Help me please
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Answer:
Step-by-step explanation:
Given parameters:
Principal = $400
Time = 3years
Interest rate = 3.3%
Interest = $39.60
Now let us verify;
I = interest
r = rate
p = principal
t = time
i = 3 incorrect, interest is $39.60
r=3.3% Correct, rate is 3.3%
p = 400 Correct, principal is 400
t = 39.60 Incorrect, time is 3years
What is 15% of 140? A.2,100 B.30 C.21 D.119
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Answer:
21
Step-by-step explanation:
u do 140 divided by .15
Jessica has 120 stamps in a collection she bought 16 more Jessica wants plays the stamps equally and six pages of the book how many stamps will be on each page of the book 20 stamps 25 stance 30 stamps or $.40 Stan's
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Answer:
30 stamps each
Step-by-step explanation:
This is the correct question:
Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book
Total stamps = 120 + 60
= 180
Jessica wants to place the stamps equally on 6 pages of a book
how many stamps will be on each page of the book?
Each page of the book = Total stamps / number of pages in the book
= 180 / 6
= 30
Each page of the book will have 30 stamps each
The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?
Answers
Answer:
5cm
Step-by-step explanation:
Given parameters:
Volume = 45cm³
Radius = 3cm
Unknown:
Height of the cone = ?
Solution:
Volume of cone is given as ;
V = [tex]\frac{1}{3} \pi[/tex] r² h
r is the radius
h is the height
45 = [tex]\frac{1}{3} \pi[/tex]x 3² x h
45 = 3π x h
h = [tex]\frac{45}{3 x3.142}[/tex] = 4.77cm
5cm is the closest answer choice
here are 180 candies in a candy shipment. There are Gobs, Blobs, and Toffees. The bage are made in ratio of 4:2:3 of Gobs, to Blobs to Toffees.
Gobs cost $1.50 each, and blobs cost $2.50 each.
The total cost of all the candy shipment is $430. What is the cost for each toffee?
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Answer:
The answer to the cost for each toffee is given below:
Step-by-step explanation:
The computation of the cost for each toffee is shown below:
Given that
There are a total 180 candies hat includes three types in a ratio of 4:2:3
Gobs = 4 ÷ 9 × 180 = 80
Blobs = 2 ÷ 9 × 180 = 40
Toffees = 3 ÷ 9 × 180 = 60
Now the total cost of all the candies shipment is $430
So,
The equation would be
80 × $1.50 + 40 × $2.50 + 60 × per cost = $430
120 + 150 + 60 × per cost = $430
60 × per cost = $430 - $120 - $150
60 × per cost = $160
Per cost is $2.67
So for toffees it would be 160
Pls help me and can you give tips on exponents??!
Answers
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
What is 2x(3+x2) when x = −2?
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it would be -4 i think
come back and tell me if im wrong
can someone help wit this asap i have 10 more mins
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A is the correct answer
Write the slope intercept form of the equation of the line
Answers
Answer:
y= x + 2
Step-by-step explanation:
Pls help will give brainliest and be very detailed. What is 11+9
Answers
Answer:
20
Step-by-step explanation:
11+9=20 :)
Answer:
ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:
11,12,13,14,15,16,17,18,19,20
Step-by-step explanation:
A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"
Answers
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answers
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?
Answers
The constant of proportionality is 5.5
Step-by-step explanation:
y = kx
k = constant of proportionality
y = 5.5x
Answer:
d
Step-by-step explanation: