Answer:
32
Step-by-step explanation:
x²+y² = 11 equation--(i)
2xy = 7 equation--(ii)
Here,
= x²+y²+6xy
= 11 + 6xy (x²+y² = 11 from equation--(i))
= 11 + 3 × 2xy
= 11 + 3 × 7 (2xy = 7 from equation --(ii))
= 11 + 21
= 32
MIGHTY MT. EVEREST
The Earth’s surface is composed of gigantic plates that are constantly moving. Currently, India lies on a plate that is slowly drifting northward. India’s plate is grinding into the rest of Asia. As it does so, it pushes up the Himalayan Mountains, which contain the world’s highest peak, Mt. Everest. In 1999, mountain climbers measured Mt. Everest with satellite gear and found it to be 8850 meters high. Geologists estimate that Mt. Everest may be growing by as much as 5 cm per year.
Your Task: Assuming a constant growth of cm per year, determine how tall Mt. Everest was in the year 0. (The year 0 is the year that came 2000 years before the year 2000.) Write an equation for the height of Mt. Everest over time, with x representing the year and y representing the height of the mountain.
What are the units for m and b in your equation? How many decimal places should be in your answer? Explain why.
The general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.
What is a time - varying quantity?A quantity whose magnitude is a function of time is called a time - varying quantity. For example → x = 2t.
Given is the measured height of Mt. Everest with the help of satellite gear. Geologists estimate that Mt. Everest is growing by as much as 5 cm per year.
Height of Mount Everest in the year 1999 → 8850 meters.
Rate at which Mt. Everest grows per year → 5 cm/yr = 1/20 m/yr.
The general equation representing the height of Mt. Everest over time can be written as →
y = 0.05x + 8850
where -
'x' represents the year.
'y' represents the height of the mountain.
The general equation of a straight line is given by -
y = mx + b [ m → slope, b → y-intercept ]
'y' represents height and is measured in meters. The slope 'm' of line is a dimensionless quantity as it the ratio of two lengths (y/x) and 'b' is measured in meters.
Now for x = - 2000
y = - 100 + 8850
y = 8750 m
Therefore, the general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.
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What is the slope of the line shown in the graph below?
Answer:
2/3
Step-by-step explanation:
Between the two points, the line goes up 4 points and to the right 6 points. The slope is rise over run, so in this case the rise is 4 and the run is 6
This makes our slope:
4/6 which simplifies to 2/3
How do you divide and Multiply?
Answer:
you know how to
Step-by-step explanation:
The cost of making a phone is $152. A store sells the phone for $281.20.
Select all the expressions that could be used to find the percentage of markup for the phone.
Answer:
The store is selling the phone by 185% of its value...
Step-by-step explanation:
You just gotta divide 281.20 (the value of the phone at the store), and divide it up by 152 (its original value). And multiply the result by 100 to get the percentage.
[tex](\frac{281.00}{152})(100) = (1.85)(100) = 185%[/tex]%
Solve simultaneous equation
2x-y=7
x*2+y*2=49
(x, y) = (0, -7) and ((28/5 , 21/5)) , as found by solving the system of linear equations.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations. Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Given: 2x - y = 7x² + y² = 49
to find: Values of x and y.
Finding:
Solving the system of two linear equations, by deriving the value of one variable from an equation and substituting it in the other equation and solving for the two variables.
eqn1 2x - y = 7
y = 2x - 7
eqn2 x² + y² = 49O
substituting the value of y from eqn1,
we get: x² + (2x - 7)² = 49
x² + 4x² + 49 - 28x = 49
5x² -28x = 0
x ( 5x - 28) = 0
x = 0, x = 28/5
For x = 0, y = -7 (in eqn1)=>
(x, y) = (0, 7)
For x = 28/5
y = 2(28/5) - 7
= (56 - 35) / 5
= 21 / 5
(x,y) = (28/5 , 21/5)
Hence, (x, y) = (0, -7) and (28/5 , 21/5), as found by solving the system of linear equations.
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Whats the answer for number 12?
y = 2/3x - 1
It will be Option 2.
if necessary, round to the nearest tenth and label your answer
10ft
4ft
Answer:
9.2 ftStep-by-step explanation:
[tex]H^2+4^2=10^2\\\\H^2+16=100\\\\H^2=100-16=84\\\\H=\sqrt{84}\approx9.2\ ft[/tex]
After you multiply these function how are they used in real life
f(x) = 3x + 4 and g(x) = 4x + 3
Step-by-step explanation:
To multiply a function by another function, multiply. For example, if f (x) = 2x and g(x) = x + 1, then fg(3) = f (3)×g(3) = 6×4 = 24.
here's an example to use a function in real life
u can use an soda machine, a measurement, miles per gallon or money math
help plz :(((((((((((((
Answer: ITS A! I HAVE THE SAME TEST!
Step-by-step explanation:
what is 2 63/100 plus 3 1/4
Answer:
147/25 or 5.88
Step-by-step explanation:
Answer:
147/25 is the exact form | 5.88 is the decimal form | Mixed number form is 5 22/25
Step-by-step explanation:
A machine produces 42 parts in 7 minutes. How many parts will it produce in 1.5 hours?
You answer is going to be: 540
HELP ME, seriously no one has helped me yet
Answer: Lunch:$16 Coffee: $4 Julie had $12 left.
Step-by-step explanation:
Answer:
1. Lunch ($16)
2. Coffee ($4)
3. how much money did she have left?
she had ($12) left
Step-by-step explanation:
1. To get the amount of money she used on lunch you have to look at the word problem it says "she spent 1/2 of her money on lunch" her total is $32 dollars and 1/2 is .5 as a decimal and 50% as a percentage so 50% of 32 is (16) so she spent $16 dollars on lunch alone.
2. To find how much money she used on Coffee you need to read the context of the problem its asking for "how much did she use of the money that is left from her lunch" so she has $16 dollars she used from lunch so now it wants you to find 1/4 of $16 dollars or 25% of 16 and 25% of 16 is (4)
so she spent 4 dollars of what was left so the answer is 4.
3. To find how much is left add up 16 and 4 and you get 20 then subtract it by the original number which is 32 so it should look like this 32 - 20 = 12
so the money she has left is $12 dollars.
Express the decimal as a percent 1. 276
Answer:
ummm to round it, it would round to 1. To say it, it would be one and two hundred seventy six thousandths.
Step-by-step explanation:
Mark as brainliest plz
The speed of sound in air is 343 meters per second. You see lightning and hear thunder 12 seconds later.
The distance from the lightning strike is 4,116 meter.
What is relation between speed, distance and time?
The relation between speed, distance and time is defined as,
Distance = Speed x Time
Given that;
The speed of sound in air = 343 meters per second
Time to see lightning and hear thunder = 12 second.
Since, Distance = Speed x Time
Substitute values in above equation,
Distance = 343 x 12
= 4,116 meter.
Hence, The distance from the lightning strike is 4,116 meter.
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The complete question is this,
The speed of sound in air is 343 meters per second. You see lightning and hear thunder 12 seconds later. Estimate your distance from the lightning strike.
The level of water in a tank is 16 feet. The level decreases steadily, and the tank is emptied in 8 hours. What was the change in water level in the tank during the first hour?
Answer:
During the first hour, the water change was 2 feet (or 14 feet)
Step-by-step explanation:
We know that the level of water in a water tank was 16 feet, and that by 8 hours, it was empty. To find the change in the water level per hour, we need to divide 16 by 8.
16 ÷ 8 = 2
Therefore, during the first hour, the water change was 2 feet (or 14 feet)
Hope this helps! :D
jenny has 8 stamp books that each contain 42 pages. each page in her books contains 6 stamps. jenny decides to reorganize her stamp books such that each page contains 10 stamps. this will give her more space to collect stamps without having to buy new books. under her new system, jenny fills up 4 complete books, still with 42 pages per book. her fifth book now contains 33 pages filled with 10 stamps per page and 1 last page with the remaining stamps. how many stamps are on that last page?
There are 6 stamps on the last page.
The number of stamp books is 8.The number of pages in each stamp book is 42.The number of stamps on each page is 6.The total number of stamps is 8*42*6.The total number of stamps is 2016.After the reorganization of the stamps,The number of completely filled stamp books is 4.The number of completely filled pages is 42*4 + 33.The updated number of stamps on each page is 10.The number of stamps on the last page is equal to the total number of stamps minus the number of stamps on completely filled pages.The number of stamps on the last page is 2016 - [(4*42 + 33)*10].The number of stamps on the last page is 2016 - [(168 + 33)*10].The number of stamps on the last page is 2016 - (201*10).The number of stamps on the last page is 2016 - 2010.The number of stamps on the last page is 6.To learn more about stamps, visit :
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Name a theorem or postulate that lets you conclude ΔABD≅ΔCBD
Answer:
AAS
Step-by-step explanation:
In January,the depth of a lake was 1,098 feet. In august, the depth of the lake was 988.2 feet. What is the percentage decrease of the depth of the lake from January to august
Answer:
=1,098+988.2
=2086.2
the percentage is 2086.2
help with #23 pleaseee
Answer:
53 degrees
angle DCE is congruent to angle DAE.
PLEASE(100 points)
f(x)= blank ,if -3≤x<-1
blank, if -1≤x≤1
Find the measure of the missing angle.
a
120⁰
60⁰
Step-by-step explanation:
a+120⁰=180⁰(being linear pairs)
or, a=180⁰-120⁰
or, a=60⁰ Answer.
What is the slope of the line that passes through the points listed in the table.
It should be easy I’m just not smart.
Answer:
this answer will be b
Step-by-step explanation:
pls help me lol i cant do this. .........
Find the 60th
term of the arithmetic sequence -27, -24, -21, ...
Answer:150
Step-by-step explanation:
Triangle ABC is located on a coordinate plane. Triangle ABC is transformed to create triangle A'B'C using the rule described below.
(z, y) → (u + 6,z +6)
Are triangles ABC and A'B'C'congruent?
Answer:
What grade is this
Step-by-step explanation:
I can give you the answer but you have to be patient like 30 min
write an equation of the line that passes through (3, -1) and is parallel to 2x-y=6
What is the value of |-25|?
Please help me ASAP
Answer: 25
Step-by-step explanation:
It cost $3 to rent bowling shoes. Each game costs 2.50 you have 15.50. How many games can you bowl
Answer:
2 games
Step-by-step explanation:
you broke tho:)
18-{3+(6-7)} help meee
Solution :
>> 18 - {3 + (6 - 7)}
>> 18 - {3 + (-1) }
>> 18 - {3 - 1}
>> 18 - {2}
>> 18 - 2
>> 16
Given-:
18-{3+(6-7)}
By Using -:
BODMAS rule
Let's Begin -:18-{3+(6-7)}
According to bodmas rule
18-{3+(6-7)}
→ 18 - { 3 - 1 }
removing Parentheses
= 18 - 2
remove brace
= 16
__________________Juan is 15 years old. Emanuel is twice as old as 3/4 of Juan's age which is represented by the following expression: 2 (3/5 x 15). How old is Juan's brother Emanuel? A 36 years old B. 18 years old C. 9 years old D. 7 years old
Answer:
He's 18
Step-by-step explanation:
3/5 x 15= 9
9x2=18
He is 18