The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the function shown below. At what elevation is the boiling point 119.5? 120? E(t)= 1200(120-t)+520(120-t)^2 At what elevation is the boiling point 119.5?
E(119.5)= (the answer) meters
Answer:
[tex]E(119.5)= 730m[/tex]
Step-by-step explanation:
Given
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Required
Determine E(119.5)
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Simply substitute 119.5 for t
[tex]E(119.5)= 1200(120-119.5)+520(120-119.5)^2[/tex]
Evaluate the expressions in bracket
[tex]E(119.5)= 1200(0.5)+520(0.5)^2[/tex]
Solve 0.5²
[tex]E(119.5)= 1200 * 0.5+520*0.25[/tex]
[tex]E(119.5)= 600+130[/tex]
[tex]E(119.5)= 730[/tex]
Hence;
[tex]E(119.5)= 730m[/tex]
The shape of f(x) = |x|, but shifted 12 units up and then reflected in the x-axis
Answer:
image below
Step-by-step explanation:
Transformation involves changing the position of a function.
The new function is [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = |x|}[/tex]
When the function is shifted 12 units up,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,y+12)}[/tex]
So, the function becomes
[tex]\mathbf{f'(x) = |x| + 12}[/tex]
When the function is reflected in the x-axis,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, the function becomes
[tex]\mathbf{f"(x) = -(|x| + 12)}[/tex]
Expand
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Hence, the new function is:
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
See attachment for the graphs of [tex]\mathbf{f(x) = |x|}[/tex] and [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Read more about transformations at:
https://brainly.com/question/13801312
write a letter to your friend and tell him at least three reasons why he should come to your school
Answer:
hi my friend I can't come to the school because of these three reasons is
1)I went to tirupati
2)I got I'll
3)I went to my grand parents house
this is your answer bro
plz i gotta turn it in today
2) B
3) C
it my answer it mybe not true
A classroom consists of 14 boys, 10 girls, and 1 teacher. Write the ratio of girls to boys. (Be sure to write your ratio all 3 ways.)
Answer:
10:14
10/14
10 to 14
about 0.71
Step-by-step explanation:
different way to write ratios
?:?
?/?
? to ?
decimal
(not sure which 3 ways so I'll just do all 4)
girl:boy
10:14
10/14
10 to 14
about 0.71
Answer:
Step-by-step explanation:
pls help ASAP
which of these is an approximation of 7/9 to the nearest hundred A) 0.078 B) 0.78 C) 1.29 D) 7.8
Answer:
B. 0.78
Step-by-step explanation:
0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.
Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.
Answer:
B
Step-by-step explanation:
I recommend simply using a calculator. If you divide 7/9 you would bet 0.7 (repeating). Round to the hundredths and you would get 0.78
Help please!!!!! Thank you
Answer:
C
Step-by-step explanation:
So we know that:
[tex]f(3)=-2\text{ and } f(4)=-4[/tex]
This is the same as saying we have two coordinates: (3,-2) and (4,-4).
Let's find the equation of the linear function.
First, let's find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:
[tex]m=\frac{-4--2}{4-3}[/tex]
Simplify:
[tex]m=-2/1=-2[/tex]
So our slope is -2.
Now, use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (3,-2) for x₁ and y₁ and use -2 for m:
[tex]y+2=-2(x-3)[/tex]
Now, we can figure out the x-intercept.
Recall that the x-intercept is when the graph touches the x-axis.
In other words, the y-value would be 0. It will be (x,0).
So, to solve for the x-intercept, substitute 0 for y and solve for x:
[tex]0+2=-2(x-3)[/tex]
Simplify and distribute the right:
[tex]2=-2x+6[/tex]
Subtract 6:
[tex]-4=-2x[/tex]
Divide both sides by -2:
[tex]x=2[/tex]
So, our x-intercept is (2,0)
What is 4 1/3 * 2 1/7 as a mixed number in simplest form?
Answer:
9 2/7
Step-by-step explanation:
4 1/3=13/3
2 1/7=15/7
13/3*15/7= 195/21
=9 6/21
=9 2/7
Hi there!
Answer:
9 2/7
Step-by-step explanation:
4 1/3 = 13/3
2 1/7 = 15/7
Now you have to multiply
Which equals to: 195/21
Since this is a improper fraction, you have to divide.
195 divided by 21.
=9 2/7
Below is a picture of how you should divide (using long division).
~Have a great day!~
If you have any questions, feel free to ask!
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
10.8 we're attempted.
Step-by-step explanation:
60% of 18 is 10.8
Bentley signed up for a streaming music service that costs $13 per month. The service
allows Bentley to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.75 per song. How much total money woul
Bentley have to pay in a month in which he downloaded 10 songs? How much would
he have to pay if he downloaded s songs?
Answer: Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
Step-by-step explanation:
As per given,
Total amount need to pay = (Monthly cost) + (Number of songs downloads) x (Charges for each song)
Here, Monthly cost = $13
Charges for each song = $0.75
If Number of songs downloads = 10
Then, Total amount need to pay = $ (13 +(10) (0.75))
= $( 13+7.5)
= $ 20.5
So, Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
If Number of songs downloads = s
Then, Total amount need to pay (in $) = 13 + (s)(0.75)
= 13+0.75s
So, Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
If Number of songs downloads = 10
$ 20.5
If Number of songs downloads = s
13+0.75s
4 of the power of 5 times 4 of the power of negative 7 divided by 4 of the power negative 2
Answer:
1
Step-by-step explanation:
[tex] {4}^{5} \times {4}^{ - 7} \div {4}^{ - 2} \\ = \frac{ {4}^{5} \times {4}^{ - 7} }{ {4}^{ - 2} } \\ \\ = \frac{ {4}^{5 + ( - 7)} }{ {4}^{ - 2} } \\ \\ = {4}^{5 + ( - 7) + 2} \\ \\ = {4}^{5 - 7 + 2}\\ \\ = {4}^{7 - 7 } \\ \\ = {4}^{0} \\ \\ = 1 \: \: ( \because \: {a}^{0} = 1)[/tex]
Planes X and Y and points J, K, L, M, and N are
shown.
Exactly how many planes contain points J, K, and N?
A) 0
B) 1
C) 2
D) 3
Answer:
Step-by-step explanation: it’s C
A map has a scale of 1cm:20 km two cities are 2.5 cm apart on the map to the nearest tenth of a kilometer what is the actual distance corresponding to the map distance
Answer: 50 km
Step-by-step explanation: So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by
2.5 /1 . Then, 20 x 2.5=50. So the answer is 50 km
Evaluate if x = 1 , y = 3 , and z = 5
|5z - 2y|
Answer:
1
Step-by-step explanation:
a = -bcd
Not sure how I'm suppose to get the answer without dividing first.
Answer:
-1/cd
b = -a/cd
Step-by-step explanation:
a = -bcd
Multiplication and division are inverse operations
Multiply each side by -1/cd
a* -1/cd = -bcd * -1/cd
-a /cd = b
Can someone please help?
Answer:
Even
Step-by-step explanation:
An odd number added by an odd number will equal an even number.
Good luck :)
Answer:
Even
Step-by-step explanation:
All the answers to adding up odd numbers in the bellow examples shows even answers.
what value of x will make the equation true
Answer:
5 is the value of x
Answer:
It would be 5 square
Step-by-step explanation:
7.777 rounded to the nearest hundreths
Answer:
7.77
Step-by-step explanation:
just take off the 7 in the 100ths place :)
Answer:
7.800
Step-by-step explanation:
Because 7 is close to 8 so it would turn into 800
hope this helps ;)
Two brothers are painting pictures. One of the
brothers paints 7 pictures in a day. The other
brother paints 8 pictures but it takes him x days
to do so. Together they painted 13 pictures in
x days. The expression above models this
problem. What does represent?
A) The number of days it takes the brothers to
paint 13 pictures
B) The rate at which the two brothers work
together
C) The rate at which the second brother paints
D) The number of days it takes the first brother
to paint 13 pictures
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Assuming you are asking what does x represent when you say "What does represent" the answer is a: the number of days it take the brothers to paint 13 pictures.
The first 2 sentences are useless and don't tell you anything (well they do but you don't need the information).
Both brothers can paint 13 pictures in x days.
So x means days, more specifically, the number of days it took for the brothers to paint 13 pictures.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
Complete Question
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
2016 Value Rate
$2150 $250 increase per year
Answer:
The equation is [tex]V(t) = 250 (t) + 4.3[/tex]
Step-by-step explanation:
Generally linear equation is represented mathematically as follows
[tex]y = mx + c[/tex]
Where y is the dependent variable which in this case is dollar value of a product (V(t))
x is the independent variable which in this case is the time in years(t)
m is the slope which in this case is the rate at which the value of the product is expected to change during the next 5 years
So
[tex]V(t) = m t + c[/tex]
When t = 16 years
[tex]2150 = 250 (16) + c[/tex]
=> [tex]c = 4.3[/tex]
So the linear equation is
[tex]V(t) = 250 (t) + 4.3[/tex]
I NEED HELP WITH THIS FAST!! PLS Which of the following is the midpoint of the line segment with endpoints (-2, – 4) and (6, 8)?
A. (2, 2)
B. (2, 4)
C. (4, 4)
D. (4, 6)
Answer:
A
Step-by-step explanation:
Twelve decreased by two times a number is 8. Find the number.
Answer:2
Step-by-step explanation: 12-8=4 4/2=2
Answer:
x = 2
Step-by-step explanation:
We can make an equation that meets the requirements stated.
Decreased signifies subtraction, so 12 will reduce the value after it. A number can be any letter you'd like, but I'll stick to x. Since 2 is multiplying that number, we can make 2 the coefficient. Finally, set it equal to 8.
12 - 2x = 8 Subtract 12 from both sides of the equation.
-2x = -4 Divide by -2 on both sides of the equation.
x = 2
x+y=7
-x+y=-5
Quero a equação pelo método de adição, rápido u.u
Answer:
Step-by-step explanation:
x + y = 7
-x + y = -5
2y = 2
y = 1
x + 1 = 7
x = 6
(6, 1)
Christopher is designing a rectangular fence to go around his school's chicken coop The length should be 2 ft longer than the width Christopher marks two vertices of the rectangle at Pando in the coordinate plane PO is one of the shorter sides. Each unit in the coordinate plane represents ift Daw rectangle PORS in the coordinate plane to model the fence b. How many feet of long does wed to go around the chicken coop! pls help
Answer:
Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.
Step-by-step explanation:
Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.
-8(2z - 7c) use z = 5 and c = 2
Answer:
The answer is
-8(2×5-7×2)
=-8(10-14).
= -8(-4)
= 32.
solve for x ( need asap )
It is 26 if you needed answer asap
Answer: 26
Step-by-step explanation: the angles are on a straight line and all angles on a straight line add up to 180°, so, you subtract 49 from 180 to get 131 then subtract 1 ( because instead of adding you to subtract to see what was added to get 131) then divide 130 by 5 ( because 5x is the value × 5 ) and you get 26
May someone answer me????
Q1. What is the solution set of 9x-4<13x-7
A. [1,2,3]
B. [1,2,3......]
C. [0,1,2,3...]
D. [0,1,2,3]
Answer:
[tex]\huge\boxed{B. [1,2,3,........]}[/tex]
Step-by-step explanation:
[tex]9x - 4 < 13 x - 7[/tex]
Combining like terms
=> [tex]-4 + 7 < 13x-9x[/tex]
=> [tex]3 < 4x[/tex]
Dividing both sides by 4
=> [tex]x > \frac{3}{4}[/tex]
=> [tex]x > 0.75[/tex]
This means that x can be any number that is greater than 0.75
So, The solution set = [1,2,3,........]
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of
the completely inflated balloon is 784 cm², how long will it take for the balloon to fully inflate?
Use SA=4r2
7 seconds
10 seconds
49 seconds
196 seconds
Answer:
7 seconds
Step-by-step explanation:
SA = 4πr²
784π = 4πr²
196 = r²
r = 14
At 2 cm/s, it takes 7 seconds to reach a radius of 14 cm.
Answer:
Answer is A, 7 seconds
Step-by-step explanation:
Answer is A on edgenuity, answers do not mix
show all work to multiply 3 plus the square root of negative 16 times 6 minus the square root of negative 64
Answer:
[tex]\Huge \boxed{3+16i}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]3+\sqrt{-16} * 6-\sqrt{-64}[/tex]
Using imaginary number rule : [tex]\sqrt{-n} =\sqrt{n} *i[/tex]
Where [tex]n[/tex] is a positive integer.
[tex]3+\sqrt{16} *i* 6-\sqrt{64}*i[/tex]
[tex]3+4i* 6-8i[/tex]
Multiplying.
[tex]3+24i-8i[/tex]
Combining like terms.
[tex]3+16i[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
3 + 16i
Step-by-step explanation:
3 + √-16 * 6 - √-64
= √-16 * 6 = 24i; √-16 * 6; √-16 = 4i
= 4 * 6i multiply the numbers 4 * 6 = 24
= 24 i
√-64 = 8i; √64 apply a radical rule
= √-1 √64
= √64 i; √64 = 8
= 8i
= 3 + 24i - 8i
= 3 + 16i
What is the quotient when the product of 20 and 5 is divided by the sum of 20 and 5?
Answer:
=4
Step-by-step explanation
(20x5) divided by (20+5)
100 divided by 25=4
Answer:
its 4
Step-by-step explanation:
5 four times is 20. Count by fives and once you get to 4 you'll get 20.