Answer:
y=4, y=2
Step-by-step explanation:
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.
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:
Can somebody please help me bc im so lost its ridiculous
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
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 :)
Determine weather the triangles a are similar
Answer:
Step-by-step explanation:
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?
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
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 .
Answer:
$18
Step-by-step explanation:
Which of the following is the graph of the function shown above?
The given functions will be straight line graph as shown below
What are piecewise functionsPiecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.
The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;
Learn more on piecewise function here: https://brainly.com/question/27262465
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Pls help me and can you give tips on exponents??!
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
Angela bought gifts for her friends, and each gift costs 10$. 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.
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
What is the value of x?
1. 142
2. 71
3. 152
4. 76
Answer:
142
Step-by-step explanation:
Equation of the circle. Please help.
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
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
To know more about percentages follow
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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)
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
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.
What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP
Answer: 0.31
Step-by-step explanation:
Simple division.
Answer
the Answer is 12
Step-by-step explanation:
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?
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
When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
Pls help will give brainliest and be very detailed. What is 11+9
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:
From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?
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.
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
What is 15% of 140? A.2,100 B.30 C.21 D.119
Answer:
21
Step-by-step explanation:
u do 140 divided by .15
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?
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.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
the 3rd istansa ha?
Step-by-step explanation:
Sana maka tulong
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
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
Write an equation in Point Slope Form that has a slope
of -2 and passes through the point (5,7)
Answer:
y-7=-2(x-5)
Step-by-step explanation:
point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1
What is the slope of у= 3х — 9
Answer:
3?
Step-by-step explanation:
3 is the slope intercept I believe
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
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 equation y = 5.5x represents a proportional relationship What is the constant of proportionality?
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:
Pls help me find the slope
Y(-5,0), Z(-2,-4)
Answer:
-4 / 3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -0)/( -2 - -5)
( -4 -0)/( -2 +5)
-4 / 3
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Y (-5, 0)
Z (-2, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add: [tex]m=\frac{-4}{3}[/tex]can someone help wit this asap i have 10 more mins
A is the correct answer
Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.
Answer:
x = 4
JM ≅ MN = 3
JN = 2
Step-by-step explanation:
In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN
Given
JM = 2x - 5
MN = 3x -9, and
JN = x - 2.
Since JM≅ MN then;
2x - 5 = 3x-9
Collect like terms;
2x-3x = -9+5
-x = -4
multiply both sides ny -1;
-(-x) = -(-4)
x = 4
For side JM;
JM = 2x-5
JM = 2(4)-5
JM = 8-5
JM = 3
Since JM ≅ side MN, hence;
MN = 3
For side JN;
JN = x-2
JN = 4-2
JN = 2
Answer:
good job
Step-by-step explanation: