It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
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A sector has an area of 50 ft sq, and a central angle of 45 degrees. Find the radius.
Answer:
Step-by-step explanation:
45° is 1/8 of a circle, so the area of the sector is 1/8 the area of the circle.
Area of circle = 8*50 = 400 sq ft
πr² = 400
r = √(400/π) = 20/√π ≈ 11.3 ft
If 7/8 gallon of soil contains 1/8 the amount of soil a landscaper needs to fill a hole completely how much soil does it take to fill the hole
Answer:
1 gallon
Step-by-step explanation:
use square root property to solve for k
(k+5)= -24
Answer:
k= -29
Step-by-step explanation:
what is the value of -3 1/2 x 2 1/2
Answer: −8 3 /4
Step-by-step explanation: (−3 1 /2 )(2 1 /2 )
(-7/2)(5/2)
−35 /4
−8 3 /4
hi any help would be useful in struggling! thank you
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU
Step-by-step explanation:
Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book? Lin has drawn a diagram to solve this question. Find her error..
Answer: There are 175 pages in the book.
Step-by-step explanation:
If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:
55-20= the pages Andre read
55-20=35
Andre read 35 pages.
If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)
35 x 5= 175
There are 175 pages in the book.
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
what is the answer to : 1.3(4.9 + 6k)
Answer:
you'd get the expression 6.37+7.8k
Given equation: 3x-2y=6
How do you get the x-value of the x-intercept of the line?
Answer:
(2,0)
Step-by-step explanation:
Since you're finding the x-intercept, logically y will have to equal 0 in order for x to be at its intercept, therefore plugging in 0 for y in your equation will give you your x-intercept.
3x -2(0) = 6
3x = 6
x = 2
So the x=int for this equation would be at the point:
(2,0)
Hope this helps!
:)
1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
We need to simply it in a mixed fraction,
[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
= 7/2 × 7/2
= 49 / 2
= [tex]24\frac{1}{2}[/tex]
Hence, the simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
Learn more about mixed fraction, click;
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SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST HELP ME PLEASE
Answer:
there is a 1 to 15 relationship between miles and gallons
Step-by-step explanation:
Please help me!! ......
Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
Match each percent with the corresponding decimal
0.5%
5%
50%
Answer:
well your first two are going to be 0.05 and the late one is 0.5
Step-by-step explanation:
hope this helps tell if wrong
30% of the students are absent from math class. If there are normally 30 students, how many are missing?
Solve each single-step equation. Show your work. - 6 b + 2 < 56
Answer:
b > −9
Step-by-step explanation:
−6b+2<56
Step 1: Subtract 2 from both sides.
−6b+2−2<56−2
−6b<54
Step 2: Divide both sides by -6.
−6b −6 < 54 −6
b >−9
What is the discounted price of an item that originally costs $75.00 and is receiving at 20% discount?
Answer:
15 US dollars
Step-by-step explanation:
3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test
Answer:
0.812 = 81.2% probability that a randomly chosen chip will pass the test
Step-by-step explanation:
Over the long run, the fraction of bad chips produced by the process is 20%.
So 100 - 20 = 80% are good.
All good chips pass the test, while 6% of the bad chips(20%) also pass.
a) (4 points) What is the probability that a randomly chosen chip will pass the test
[tex]p = 0.8 + 0.06*0.2 = 0.812[/tex]
0.812 = 81.2% probability that a randomly chosen chip will pass the test
During a high school basketball season, Casey successfully made 18 of the 25 free throws she attempted. What is her percentage of successful throws?
Answer:
72%
Step-by-step explanation:
Basket she made successfull = 18/25
Percentage = 18/25 x 100 = 72%
PLS HELP !!! I need this question done quick
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
Answer:
(a. 7) (b. 51)
Step-by-step explanation:
A.
[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]
B.
[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]
(I don't know the numerical values)
25x89 divided by 1/4
Answer:
8900
Step-by-step explanation:
25x89=2225
2225/(1/4)= 8900
0.392 is what percent of 28?
Pleasee
Answer:
28% of 0.392=0.10976
Step-by-step explanation:
1. We assume, that the number 0.392 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.392 is 100%, so we can write it down as 0.392=100%.
4. We know, that x is 28% of the output value, so we can write it down as x=28%.
5. Now we have two simple equations:
1) 0.392=100%
2) x=28%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.392/x=100%/28%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for what is 28% of 0.392
0.10976
How long will it take Anna to earn $51.00?
Answer:
Needs More Information
Step-by-step explanation:
Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!
please help with this question!
Answer:
12
Step-by-step explanation:
pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer
Can someone please help :!
Answer:
minimum
Step-by-step explanation:
If a tree in a 1 in.: 2ft scale drawing is 10 inches tall, how tall is the actual tree?
Answer:
20 ft.
Step-by-step explanation:
You can solve this as a proportion:
[tex]\frac{1}{2} = \frac{10}{y}[/tex]
The y is equal to 20.
Hope it helps!
Sara is considering multiple job offers. She enjoys outdoor
activities like going to the beach. What non-income factor would
influence her decision?
Availability of benefits
LocationJob security
Working hours
Help me pls pls pls
A sum of two mixed numbers is given.
What is the missing number?
Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
What is the Domain and Range of this graph?
Answer:
domain: -3 ≤ x ≤ 3
range: -3 ≤ y ≤ 3
Step-by-step explanation:
x can only be from -3 to +3. That is what domain means.
y can only be -3 to +3. That is what range means.