Answer:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:
[tex]\displaystyle T(d)=\frac{9}{5}d+32[/tex]
And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:
[tex]C(v)=v-273[/tex]
We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.
So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:
[tex]\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32[/tex]
Substitute:
[tex]\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32[/tex]
Therefore:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
Which two expressions are equivalent
Answer:
A
Step-by-step explanation:
A) the only answer in which the distributive property is used correctly.
70%of it is 14 min find the valy ofx
Note:
Your questions sound a little unclear.
But, I am assuming your questions as:
''70% of x is 14 min. Find the value of x''.
So, I will solve assuming this statement which anyways would clear your concept.
Answer:
The value of x = 20.
Step-by-step explanation:
Given
''70% of x is 14 min. Find the value of x''.
Thus,
70% of x = 14
70/100 × x = 14
0.7x = 14
divide both sides by 0.7
0.7x/0.7 = 14/0.7
x = 20
Therefore, we conclude that the value of x = 20.
For the pair of similar triangles, find the value of x.
The value of x is .
Answer:
18.
Explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The value of 'x' in two similar triangles is 6.46.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in similar triangles the ratio of their corresponding sides are equal.
Therefore, The equation to determine the value of 'x' should be,
(2x - 6)/20 = 36/(x + 6).
36(2x - 6) = 20(x + 6).
72x - 216 = 20x + 120.
72x - 20x = 120 + 216.
52x = 336.
x = 336/52.
x = 6.46.
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1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.
What is the total weight, in pounds, of the fruit that Shawn bought last week?
Answer:
not sure but i think it should be 10.54
Let LaTeX: x = \text{-}\frac {11} 8x = - 11 8 and LaTeX: y = \text{-}\frac {11} 4y = - 11 4.
Which expression has a negative value?
Group of answer choices
LaTeX: x + yx + y
LaTeX: x - yx − y
LaTeX: x \cdot yx ⋅ y
LaTeX: \frac x y
Answer:
This makes no sense
Step-by-step explanation:
if ther are 36 eggs in 4 cakes, what should we divide by?
The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.
A. 38
B. 2
C. 90
D. 1664
Answer:
90 degrees F
Step-by-step explanation:
if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.
Neeed helpp on this question
Answer:
y=4x-9
Step-by-step explanation:
slope is rise/run
choose one point and do rise/run until you get to the next point
from the graph you can see the y-intercept is -9
Answer:
y=2x+-9
Step-by-step explanation:
this is the answer
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
40 pointssssss!!!!!!!
Answer: A.
Step-by-step explanation: It's 20 pionts bro.
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
When completely factored, 8x + 2y - 4
Answer:...
-4+8x+2xy
Step-by-step explanation:
Please help this is due in 31 minutes
Answer:
X=45
Step-by-step explanation:
You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45
I need help with this geometry question
Answer:
x=9; JL= 23
Step-by-step explanation:
To find x:
If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.
Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.
Get x alone by dividing both sides by 5 and you will get 9=x.
To find JL:
Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.
2•9 = 18.
18+5=23
Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
Help me out! Answer? Anyone??
Answer: C and D.
Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
Which is bigger 57.8% or 0.578 ?
Answer:
They are the same
Step-by-step explanation:
When you convert 0.578 into a percentage you get 57.8%
When you convert 57.8% into a decimal you get 0.578
2. Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, is the first term, n is the term number and d is the common
difference
A(n) = 2 - 1 + (n - 1)d
A(n) = a + (n - 1)d
A(n) = a + (n)(d - 1)
O A(n) = a + (n + 1)d
Answer:
A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.
Step-by-step explanation:
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
Write the percent as a mixed number in simplest form.
168%
Answer:
1 and 17/25
Step-by-step explanation:
First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.
(hope this helps :P)
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
nature of roots the determining 2x²-13x+15=0
Answer:
Step-by-step explanation:
discriminant = (-13)² - 4·2·15 = 49
discriminant > 0 so there are two real roots
what is 4000×1mil I'm stuck on it
according to goo.gle:
Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon?
It’s 4 pieces of ribbon :)
The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.
And Jamie has 4/5 meter of ribbon.
To find the number of photo frames that can be decorated using 4/5 meter of ribbon:
So, using division operation,
the number of photo frames,
= 4/5 ÷ 1/5
= 4 x 5/5
= 4
Therefore, Jamie can make 4 photo frames from the given ribbon.
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2) Add 1/3n + 2/3 and -1/6n + 1/6m
Answer:
m/6+ n/3 +1/2
Step-by-step explanation:
Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11
Can anyone help me pls
Answer: likely
Step-by-step explanation:
How to solve (
7•6-4^2)+4
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30
