Answers
Answer:
The average rate of descent over the last 3 hours is 1000 ft/h.
Step-by-step explanation:
Rate of Change
It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.
The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).
The rate of change can be calculated with the slope of the line, which formula is:
[tex]\displaystyle m=\frac{h_2-h_1}{t_2-t_1}[/tex]
Let's pick two points (7,4000) (10,1000):
[tex]\displaystyle m=\frac{1000-4000}{10-7}=\frac{-3000}{3}=-1000[/tex]
[tex]m=-1000\ ft/h[/tex]
Note the rate of change is negative, which means the height is decreasing.
The average rate of descent over the last 3 hours is 1000 ft/h.
Related Questions
4. Jeff and his brother Joe are saving money
to buy a video game that costs $52. Jeff
earns $8 each week mowing lawns and
spends $2 of it. Joe earns $10 each week
and spends $3 of it. Which expression can
be used to find out how many weeks it will
take for them to save for the video game?
52-[(8 + 2) - (10 + 3)]
b. 52 [(8-2) - (0 - 3)]
52 +[(8-2) + (10 - 3)]
d. 52 + [(8 + 2) + (10 + 3)1
a.
Answers
Answer:
52/[(8 - 2) + (10 - 3)]
Step-by-step explanation:
Jeff earns $8 and spends $2 each week.
Each week he keeps (8 - 2).
Joe earns $10 and spends $ each week.
Each week he keeps (10 - 3).
The total amount they keep each week is
(8 - 2) + (10 - 3).
If you divide the cost of the game by the amount they keep each week, you get the number of weeks.
Answer: 52/[(8 - 2) + (10 - 3)]
8.5(4+3h)-h simplified
Answers
Answer:
24.5h + 34
Step-by-step explanation:
8.5(4 + 3h) - h
= 34 + 25.5h - h
= 24.5h + 34
I hope this helped!
The simplified form of 8.5(4+3h)-h is 24.5 + 34.
What is a numerical expression?A numerical expression is in the form of variables and constants separated by the operation of addition and subtraction. We can also form numerical expressions from statements.
Given an expression in variable h which is 8.5(4+3h)-h.
First, we'll apply distributive law to get rid of the bracket and separate the different terms. There are two more laws they are associative law and commutative law.
Distributive law state that a(b+c) = ab + bc.
34 + 25.5h - h.
24.5h + 34.
Learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
One line segment m is (3x + 5) units long and line segment n is (x - 10). What is the value of r if line segments m and n are congruent?
Answers
Answer:
I believe it is -17.5. Tell me if I am wrong
Step-by-step explanation:
3x + 5 = x - 10
-x -5 -x -5
2x = -15
x = -7.5
3(7.5) + 5
= 22.5 + 5
= -17.5
How many points need to be removed from this graph so that will be a function?
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is you have to remove 4 points.
There is 6 points in all and for a function it only needs two points to become a function. A function needs to be a that line that passes the vertical line test. For example: A circle is not a function because when you perform the vertical line test you'll see that many points share a common x-value and a function needs only one output in every input.
What is 3 + 3?
I'm really stuck on this
Answers
Answer:
3 + 3 = 6
Step-by-step explanation:
I hope this helped!
What is the sum?
23.85 + 7.42 + 16.15
Enter your answer in the box.
47.42
Answers
Answer:
47.42
Step-by-step explanation:
47.42 is ur answer
Just add them vertically and line up the decimal points.
23.85
7.42
16 .15
---------
47. 42
I need help with this math problem
Answers
Answer:
The answer should be a positive 3 instead of a negative.
Step-by-step explanation:
The error is in the first step. The equation should've been set up like this...
-14+2y+4=4
-10y+2y=-4
2y=-4+10
2y=6
y=3
Which operation will "undo" subtraction?
a. multiplication
b. subtraction
c. addition
d. division
Answers
Answer:
Addition
Step-by-step explanation:
Because if you have -6, just add 6 and then it will get undone
Answer:
addition
Step-by-step explanation:
hope it helps
Guys pls help i thought it is B but idk just to confirm.
Answers
Answer:Im going with d
Step-by-step explanation:
Mario needs 32.5 m of chain link fence to enclose his garden. The cost of the fence is $6.88 per meter.
What is Mario's total cost?
$22.35
$22.36
$223.50
$223.60
Answers
each ticket costs $34 If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?
Answers
Answer:
2924
Step-by-step explanation:
36
x 86
‐--------------
2924
Divide $28 in the ratio 5:2:7.
Answers
Answer:
10:4:14Step-by-step explanation:
5+2+7=14
28/14=2
2*5=10
2*2=4
2*7=14
10:4:14
Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a
group of her friends. If she has $20, which inequality can be solved to show the number of cookie c she can buy?
Answers
Answer:
1.50c <_ 20
Step-by-step explanation:
Lorna has $60 and her sister has $120. Lorna
saves $7 per week, and her sister saves $5 per
week. Which equation and solution represent
the number of weeks, w, it will take for the girls
to have the same amount of money?
Answers
Step-by-step explanation:
whats theamountof money?
Find the prime number.
Group of answer choices
0
6
7
4
Answers
Answer: 7
Step-by-step explanation:
7 is a prime number
Answer:
7
Step-by-step explanation:
7 can't be divisible by anything but 1 and itself. All the other numbers can. Except 0. 0 isn't defined as a prime or composite number.
I hope this helps!
The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
Answers
Answer:
Student tickets sold 66
Adult tickets sold 34
Step-by-step explanation:
x=6. y=11
x+y=100. Multiply by -6
6x+11y=770 Then combine terms
5y=170 Divide 5 on both sides
y=34 Then do 100-34
x=66
This is the solution for the club to not earn anything but able to cover the fees.
The inequality form can be written as,
total revenue=66x+34y in this case total revenue=0
A bag contains 4 blue marbles, 9 green marbles, and 5 red marbles. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answers
Answer:
4blue marble+9 green marble+5 red marble=18marble totle
1 marble probility=1/17
Factor the expression completly over the complex numbers x^4+10x^2+25
Answers
Answer:
Rewrite it in the form {a}^{2}+2ab+{b}^{2}a
2
+2ab+b
2
, where a={x}^{2}a=x
2
and b=5b=5.
{({x}^{2})}^{2}+2({x}^{2})(5)+{5}^{2}(x
2
)
2
+2(x
2
)(5)+5
2
2 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
{({x}^{2}+5)}^{2}(x
(x^2 + 5)^ 2
Step-by-step explanation:
If x - 2 is a factor of x2 + 3x + k, what is the value of k?
Answers
Answer:
-10
Step-by-step explanation:
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.
a =
b =
The amount of ticket sales is $
.
Answers
Answer:
a= 25
b= 800
the sale amount =2,400
Answer:
a is 25 which thats half b 800 the total amount of tickets is 2,400
Step-by-step explanation:
Help. I’m failing math and I need to finish 15 khans by tomorrow
Answers
Answer:
80
Step-by-step explanation:
In a classroom of 50 students 30 brought apples to school while 14 brought oranges to school. If 18 students brought niether fruit to school, how many brought both apples and oranges to school?
Answers
Step-by-step explanation:
Hope it helps man ..... ..
Round 345,047 to the nearest thousand ten thousand hundred thousand
Answers
345,000 ; 350,00 ; 300,000.
Answer:
300,000
Step-by-step explanation:
the ten hundred thousands place would be
100,000
therefore the nearest ten hundred thousand would be
300,000
because the 345,047 isn't a high enough digit to be 5+ and make the nearest thousand 400,000 and not 300,000
If that doesn't help, think of it like this...
Anything before the place is what determines if the number will be higher or lower.
45 is lower than 50 and 50+ is the passing number to make the number 400,000.
Tip: when your rounding numbers the only numbers that stay the same and don't turn into 0's is like the 3 in "345,047" but the "45,047" part turns into 0's is because those aren't needed and because you rounded it, it's like it takes those numbers to make what you rounded to higher or lower.
so if you look at it like that the answer is 300,000.
<3 Enjoy,
Dea
(2, 1) and (8, 9) *
Answers
Answer:
Step-by-step explanation:
Well thanks to you, it'll take about 20 seconds to write the answer.
9 - 1 ÷ 8 - 2 = 8÷6 = 4/3 or 1.4
What is 240,700 written in scientific notation?
Group of answer choices
2.407 x 10-5
2.407 x 105
2.40 x 105
24.07 x 104
Answers
Answer:
It is the 2nd option
Step-by-step explanation:
Billy wanted to write a ratio of the number of apples to the number of peppers in his refrigerator. He wrote 1 : 3. Did Billy write the ratio correctly? Explain your answer.
Answers
Answer:
No.
Step-by-step explanation:
It should be 3:1 since the number of apples comes first in the ratio.
Answer:
yes, because if you express it as 1:3 or 1/3 is the same thing
3x = -39 solve for x
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
x = -13
▹ Step-by-Step Explanation
3x = -39
Divide both sides by 3:
3/3 = 1x
-39/3 = -13
FINAL ANSWER:
x = -13
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
X is - negitave -42
Step-by-step explanation:
3- (-42) = -39
The volume of the rectangle prism shown below is 96 cubic feet. The dimensions of the prism’s base are 4 feet and 3 feet. What is the prism’s height in feet
Answers
Answer:
8feet
Step-by-step explanation:
DO_ 1/2 of X is. please help
Answers
Answer:
x = 2
Step-by-step explanation:
Is it -1/2 or just 1/2 I'll just answer both
x = 4
So -1/2 of x or -1/2 of 4 is -2
And 1/2 of 4 is 2.
So the answer is most likely 2
and is probably point z
4/(-1/2) = -2
4/(1/2) = 2
Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?
Answers
Answer:
39 ft
Step-by-step explanation:
Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.
Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex] .... which a and b are the two sides while x is the diagonal.
[tex]5^{2} +12^{2} = x^{2}[/tex]
[tex]25 + 144 = x^{2}[/tex]
[tex]169 = x^{2}[/tex] ... now we square root both sides
[tex]13 = x[/tex]
Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.
13 * 3 = 39 ft