The function used to convert Celsius to Fahrenheit is: 5/9(F - 32)
The Fahrenheit value when C = 56.7 is: 134.06
and when C = 89.2, F = -128.56, as found by basic algebra. If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.(1)
Given:
F = 9/5 × (C) + 32
F - 32 = 9/5 × (C)
5/9 × (F-32) = C(2)
For C = 56.7, in the above formula, by basic algebra, we get:
F = 9/5 × (56.7)+32
F = 102.06 + 32
F = 134.06
For C = -89.2, by basic algebra,
we get: F = (9/5) × (-89.2)+32
F = -160.56 + 32
F = -128.56(3)
We are given:
F = 9/5 (C) + 32
If f(x) represents the temperature in Fahrenheit, we get:
f(x) = 9/5 (C) + 32,
which is equivalent to Option A.
Hence, (1) The function used to convert Celsius to Fahrenheit is:
9/5(F-32)
(2) The Fahrenheit value when C = 56.7 is: 134.06 and when C = 89.2, F = -128.56, as found by basic algebra.
(3) If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
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Ravi owns a plot of rectangular shape. He has fenced it with a length of 750ft. Length x= the breath by 5m find l and b
Rajesh own a plot of rectangular shape he has fenced it with a wire of length 750 ft . the length of the plot exceeds the breadth by 5ft.
The length of his plot is 190ft and breadth is 185ft.Given that
Ravi owns a plot of rectangular shape. He has fenced it with a length of 750ft.The length of the plot exceeds the breadth by 5ft.To find
The length and breadth of the plot ?So, according to the question
We have,
The length of fenced wire is 750ft.Let's assume
Breadth of plot = x.Length of plot = l.Length of fenced wire = WHe fenced this plot with a wire. So we can say this wire length is a perimeter of this plot of rectangular shape.
In mathematical form
2 (length + breadth) = length of fenced wire
2 ( l + x) = W -------------------(1)
From question
the length of the plot = breadth + 5ft.l = x +5 ------------------(2)
Now, putting the value of equation (2) and W in equation (1)
Then, we get
2 ( l + x) = W -------------------(1)
2 [( x + 5) + x] = 750
2 [ x + 5 + x] = 750/2
[ 2x + 5] = 375
2x = 375-5
2x = 370
x = 370/2
x = 185ft
Now, putting the value of x in equation (2)
Then, we get
l = x +5 ------------------(2)
l = 185 +5
l = 190ft
Length of this rectangular shaped plot = 190ft, andBreadth of this rectangular shaped plot = 185ft.
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What is: -7/8 - 4 4/5
Answer:-5.675
Step-by-step explanation:
Answer:
The answer is -227/40 or -5 27/40
Step-by-step explanation:
Easiest way to explain this is to first get the common denominator of the denominators of 5 and 8
This will equal 40 and we have to multiply the numerators as well so this will look like....
-35/40 - 4 32/40
Now we need to convert the whole number in -4 32/40 into a fraction
4 multiplied by 40 is 160 so we will need to add 160 and 32 making the equation now say -35/40 -192/40 which will equal -227/40
So this will make the answer -227/40 in fraction form and in a compound fraction it will be -5 27/40
Which statement accurately describes the reactants of a reaction?
new substances that are present at the end of a reaction
substances that do not participate in a reaction
new substances formed in the reaction
substances that are used up in a reaction
Answer:
substances that are used up in a reaction
Step-by-step explanation:
sorry this is so late
Answer:
substances that are used up in a reaction
Step-by-step explanation:
took the test got 100%
Use the extended form find the perimeter of the square shape of 10cm and 18cm
Sean bought 3/7 of a pound of cherries and then he ate 1/4 of a pound of them. When he got home, he saw that he still had 2/3 of a pound of cherries in his cupboard. How many total pounds of cherries does he have? Give your answer as an exact simplified improper fraction, not as a mixed number. Do not include units.
Answer:
71 /84
answer is not in imporper fraction.
Step-by-step explanation:
fractions need to be changed or converted to equivalent fractions inorder to solve them.
1.Total amount of cherries he bought and he already had in cupboard= 3/7 + 2/3
convert them to equivalent fractions inorder to add them by using LCM of the denominators.Which in this case is 21 (LCM of 7 and 3 is 21)
2. Now the common denominator is 21
change 3/7 to a fraction with 21 as denominator by multiplying the numerator to 3 and denominator also by 3 which will give you 3×3=9/ 7×3=21 or 9/21
note: you have to multiply both numerator and denominator by the same number which is used to convert the denominator to the number given by LCM.
3)Now change the second fractions denominator to 21 by multiplying the denominator 3 by 7 and numerator 2 to 7 :
2×7/3×7 = 14/21
4) Now the fractions have same denominator which means they can be added or subtracted.
5) Total amount of cherries he had= 9/21+14/21 = 23/21
6) The amount of cherries he ate = 1/4
7) Amount of cherries he has now with him after he ate 1/4 from 23/21 = 23/21 - 1/4
8) Again the fractions need to be changed to equivalent fractions inorder to subtract them.So,Take the LCM of the denominators (LCM 21 and 4 is 84).Now change the denominator of each fraction to 84.
9) 23/21 becomes 23× 4/21×4 = 92/84
1/4 becomes 1×21/4×21 = 21/84
now subtract them
92/84 - 21/84 = 71/84
71/84 cannot be properly divided so, 71/84 is the answer.
He has 71/84 pounds of cherries with him.
Nia and Junior went to the movies. The tickets are $3.00 each. Nia bought popcorn and a slushy for $8.50 together. Junior bought a slushy and nachos $12.00 together. How much money did they spend total?
Answer:
$26.50
Step-by-step explanation:
2(3)=6
8.50 + 12.00+ 6= 26.50
What is the result of 6÷3/8?
Answer:
16
Step-by-step explanation:
you can convert to a decimal
Answer:
6÷3/8
2/8
1/4
-------------------------
answer this question correctly and i'll give u brainliest pls
Answer:
Corresponding angles
Step-by-step explanation:
They have the same relative position to the parallel lines (in blue)
Simplify 2x + 3y + 8x + 7y answer asap
Answer:
10x+10y
Step-by-step explanation:
Add like terms.
what will be the additive is 4
Answer:
The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -4?" or "What is the additive inverse of negative 4?" is 4. Since the additive inverse of 4 is -4, additive inverse is also known as the opposite number.
Step-by-step explanation:
can someone help me with this
A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project
Answer:
The expected completion time of the project is:
10 days.
Step-by-step explanation:
Duration of Task A = 5 days
Task B and C depend on Task A
This implies that Task A must be completed before Task B and C can be started.
To complete Task B will take 5 days
To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)
Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B &C are mutually dependent
What is the expected completion time of a task?Expected completion time of a task= p1x1 + p2x2
Where
p1 & p2 are probabilities.
x1 and x2 are samples.
p1=p2=0.5
x1=7
x2=3
Expected completion time of task C= 0.5*7+0.5*3 = 5 days
Task B and C will be due till task A is not accomplished.
Total time to accomplish task A = 5 days
Total time to accomplish task B= 5 days
Expected time to accomplish task C = 5 days
If tasks B and C are mutually independent
expected time to complete the project = 5+5=10days
If task C depends on task B
Expected time to complete the project = 5+5+5 = 15 days.
Therefore
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B and C are mutually dependent
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what conclusion can be drawn by observing that 15 is to the right of 10 on a number line
A. 15 ≥ 10
B. 10 ≥ 15
C. 20 ≤ 15
D. 15 = 10
Hi, Can anyone help me out here?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
First, subrat 2 from 10 bc cleo used 2 feet last week:
10-2=8
cleo has 8 feet left of ribbon.
divide 8 by 1/6
8/1/6=47.9
aprox 48
hope its right
A test has 25 questions.
If peter gets 80% correct, how many questions did peter MISS!
(Whoever answers can you please give me a clear explanation?)
Answer:
Peter missed five questions.
Step-by-step explanation:
Since the test has twenty-five questions, and Peter got 80% correct...
80/100 = __/25 <--What number is the numerator?
Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.
Now, what is 80/4? If you do the math, you should get 20.
25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)
La suma de los cuadrados de dos enteros positivos consecutivos es 761. Cuales son los números?
Answer:
19 al cuadrado suma 20 al cuadrado es 761
Step-by-step explanation:
please help!!! due in 40mins i really need the answers
The steps are :
[tex]x + 2y = 13 - - - (1)[/tex]
[tex] - x + y = 5 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]x + 2y + ( - x) + y = 13 + 5[/tex]
[tex]3y = 18[/tex]
[tex]y = 6[/tex]
[tex]substitute \: y = 6 \: into \: (2)[/tex]
[tex](2)⇒[/tex]
[tex] - x + 6 = 5[/tex]
[tex] - x = - 1[/tex]
[tex]x = 1[/tex]
Therefore, you have to insert the values into the coordinates form so the answer willl be (1 , 6).
Does this curve appear to have a positive slope or a negative slope? Why do you suppose that is the case?
Answer:
It has a negative slope
Step-by-step explanation: It's going down
negative slope, because the quantity (y axis) decreases as the price (x axis) increases, creating a downward slope
In ΔRST, r = 40 cm, s = 88 cm and t=70 cm. Find the measure of ∠S to the nearest degree.
Answer:
102.835≈103
Step-by-step explanation:
Answer: 103
Step-by-step explanation: Trust
Stacy earned $129.55 last week. Dave earned $127.95 last week. Carlos earned $127.05
last week. What are the earnings written in order from least to greatest?
Answer:
The total earnings is $384.55
The least earnings is
$127.05
$127.95
$129.55
2y-10=6x
plz help me
Answer: simplifying
Step-by-step explanation:
2y + -10 = 6x
Reorder the terms:
-10 + 2y = 6x
Solving
-10 + 2y = 6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 2y = 10 + 6x
Combine like terms: -10 + 10 = 0
0 + 2y = 10 + 6x
2y = 10 + 6x
Divide each side by '2'.
y = 5 + 3x
Simplifying
y = 5 + 3x
Step-by-step explanation:
your well come...
How would you write the number displayed on the calculator screen in standard form
Answer:
E is short for 10^x. The number that comes after the E is the power of 10.
So its 7.6*10^12
now that scientifically notation
For standard your gonna need to simplify that
so we know 10^12 is 1000000000000
Multiply the 7.6
7600000000000
hope I helped :)
Kapow liquid detergent was on sale for $4.59 a gallon. If the sale price was 85% of the regular price, how much does one gallon of Kapow liquid detergent regularly cost?
(A)$5.28
(B)$5.40
(C)$6.09
(D)$8.49
Help meeee pleaseeeeee
Answer:
432
Step-by-step explanation:
8x9=72
72x6=432
Find the nearest number before and after any real number.
Answer:
add 1 and subtract 1
Step-by-step explanation:
so if u add and subtract 1. take 5. 5+1 and -1 is 4 and 6
Hope this helps :D
PLEASE HELP KINGSSSS
Answer:
30/52
Step-by-step explanation:
its a 26/52% chance to get a black card because 13 spain cards and 13 clovers add it together you get 26 and theirs 4 kings in a dack so add them both together 26/52+4/52=30/52
Answer: 30/52Amanda has 2/3 apples. Make an equation to find how many 2/3 can go into 6.
Answer:
6 apples.
How I solved it:
2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3=
18/3
18/3=6
3/3=1
6/1= 6 apples.
The pH measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and standard deviation 0.3. What is, approximately, the probability that the pH measurement of a randomly selected water specimen is a value between 7.5 and 8.2?
A. 0.3003
B. 0.6997
C. 0.9522
D. 0.9902
Answer:
0.699733
Step-by-step explanation:
Given that :
Mean (m) = 8
Standard deviation (s) = 0.3
Probability that pH is between 7. 5 and 8.2
Probability of pH < 7.5
P(x < 7.5)
The standardized score (Z) :
Z = (x - m) / s
Z = (7.5 - 8) / 0.3 = - 1.6667
p(Z < - 1.6667) = 0.047787 ( Z probability calculator)
Probability of pH < 8.2
P(x < 8.2)
The standardized score (Z) :
Z = (x - m) / s
Z = (8.2 - 8) / 0.3 = 0.6667
p(Z < 0.6667) = 0.74752 ( Z probability calculator)
Hence,
p(Z < 0.6667) - p(Z < - 1.6667)
0.74752 - 0.047787 = 0.699733
please, someone, tell me the answer
Answers:
Row 1: 1 3
Row 2: 2 2
Each single digit gets its own box.
=======================================
Explanation:
Each row of three values must multiply to 12. We see that happening with the first two cuboids.
Cuboid A: 1*1*12 = 12
Cuboid B: 1*2*6 = 12
-------------
For cuboid C, we have two blank spaces multiplied with 4. Let's call these blank spaces x and y. We want to solve the equation x*y*4 = 12.
Divide both sides by 4 and you'll get x*y = 3
Since x and y are positive integers, this must mean either
x = 1 and y = 3
or
x = 3 and y = 1
Those are the only ways to multiply to 3 with two integers. But we can rule out the second case because the instructions say "Put the answers in order of size from left to right". Basically your teacher wants them sorted from smallest to largest. Refer to cuboid B for an example of what I mean.
So this means we have the values: 1, 3, 4 for cuboid C
---------------
Cuboid D is a similar story
Let x and y be the blank spaces. We can see that x*y*3 = 12 which becomes x*y = 4 after dividing both sides by 3.
This time we have three ways to do this and they are
x = 1 and y = 4x = 2 and y = 2x = 4 and y = 1We can immediately rule out x = 4 and y = 1 because we need the answers sorted from smallest to largest.
We can also rule out x = 1 and y = 4 because the sequence 1,4,3 is not fully sorted from smallest to largest. Note how this is effectively a repeat of cuboid C (just in a different order).
The only thing left is x = 2 and y = 2
For cuboid D we have these dimensions: 2, 2, 3
The pressure, P (in lbs/ft2 ), in a pipe varies over time. Five times an hour, the pressure oscillates from a low of 90 to a high of 230 and then back to a low 90. The pressure at t = 0 is 90.
Question: Find a possible formula for P=f(t)
P=160-70*cos(2π*(1/12)*t)
• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).
First, we find the amplitude by taking the difference between the peak values and dividing by two:
Amplitude=(230+90)/2=70
We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:
90+70=160
230-70=160
This tells us that the Center Value=160
The frequency that we are operating at is given as:
f = 5/hour
so in minutes
f=5*(1/60)/minute=5/60=1/12 per minute
So, combining everything we get
P=160-70*cos(2π*(1/12)*t)
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