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]
Compute 292, 000 divide 100.
TI 14v Save for Later I'm Done 4th Grade - Week 2 4.0A.A.1: 4.0A.A.2, 4.0AA3; 4. NBI Monday 1. Michael has 6 apples and 18 oranges. How many times more oranges than apples does Michael have?
Answer:
Michael has 3 times more oranges than apples.
Step-by-step explanation:
Given that:
Number of apples = 06
Number of oranges = 18
Let,
x be the number of times.
Number of oranges = Number of times * Number of apples
18 = x * 6
18 = 6x
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
Hence,
Michael has 3 times more oranges than apples.
The functions below show the amount of money Bella and Sweet T had saved after earning money for doing chores.
Which description best compares the two functions?
Answer:
Bella saves more per chore than sweet t
Step-by-step explanation:
Becuase i just did it
The comparison situation is:
Bella save more per chore than Sweet T.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Bella's amount: d= 3.5c + 11
Sweet T amount:
Rate of Change = (14-12)/ (2-1)= 2
So, d = 2c + 12
Thus, the initial saving of Bella is less than Sweet T and Bella save more per chore than Sweet T.
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Simplify the expression
(6c + 2) - (-4c - 8)
Answer:
2c+-6
Step-by-step explanation:
add the Cś then add the numbers
What is 20% of 80 I need help
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
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Answer:
16 is 20 percent out of 80
Step-by-step explanation:
how much water must be added to a 6-liter solution that contains 7% extract of baneberry to get a solution that contains 5% extract of baneberry
Answer:
the water to be added is 0.2 L
Step-by-step explanation:
The computation of the water to be added is given below:
The banberry amount is
= 7% of 6 Liters
= 0. 42L
Now
Let us assume the amount of water added be x L
So, the total solution is
= 6+ x L
Now percentage of banberry is
= 0.42 × 100 ÷ (6+x)
5 = 0.42 × 100 ÷ (9 + x)
9 + x = 9.2
x = 0.2 L
hence, the water to be added is 0.2 L
Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7). If each unit on a coordinate grid equals one block, how many blocks did Lily walk from point A to point B to point C? Enter the number in the box.
Answer:
21
Step-by-step explanation:
The units Lily walked are 21 units.
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that, Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7).
We know that, the distance between the two points is given by =
D = [tex]\sqrt{(x_{2}-x_{1} )^2 +(y_{2} -y_{1})^2 }[/tex]
The given points are A (–6, –3), B (5, –3) and C (5, 7).
The distance between her house and the store (AB) =
[tex]\sqrt{(5+6)^2 +(-3+3)^2} \\= \sqrt{121} \\= 11[/tex]
Therefore, The distance between her house and the store (AB) = 11 units
Similarly,
The distance between the store and the library (BC) =
[tex]\sqrt{(5-5)^2+(7+3)^2} \\= \sqrt{100} \\= 10[/tex]
Therefore, The distance between the store and the library (BC) = 10 units
Therefore, the total distance = 10+11 = 21 units
Hence, She walked a total 21 units from point A to C.
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On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?
Jada has 12 library books checked out and Han has one third less than that. How many books does Han have checked out?
Hi there :)
So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.
Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.
Good luck with the rest of your assignment, have a good day/night!!
Lillian has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 24 ounces of lemonade. Lillian used 580 ounces of lemonade and sold twice as many large cups as small cups. Write a system of equations that could be used to determine the number of small cups sold and the number of large cups sold. Define the variables that you use to write the system.
Answer:
580/24
Step-by-step explanation:
=24.something
Answer:
s= number of small cups sold
l= number of large cups sold
system of equations:
10s+24l = 580
l = 2s
Step-by-step explanation:
Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.
geometry question stated above
Answer:
E. HL
Step-by-step explanation:
In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.
Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.
The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.
Answer:
28.29
Step-by-step explanation:
A=πr2
=3.14(3^2) (btw the ^2 is exponent)
=3.14(9)
=28.29
What is 1.34 multiplied by 0.32 when rounded to the nearest hundredth
Step-by-step explanation:
lolekieieieieieooe EP of everything e
The multiplication of the given numbers is obtained as 0.43.
How to round off a given number?A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.
The given numbers are 1.34 and 0.32 respectively.
The multiplication of these numbers are given as follows,
1.34 × 0.32
= 0.4288
In order to round it to the nearest hundredth, look at the digit at the thousandth place.
Here, it is given as 8 which is greater than 5.
Thus, the required number is 0.43.
Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.
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Can someone help pls ASAP running out of time
Answer: The correct answer is A
Step-by-step explanation:
If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4
1/4 x 5/1 = 5/4
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Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest tenth, after 6 years.
Answer:
$9,709.17
Step-by-step explanation:
Find the diameter and circumference of the circle below : r=8cm.
Answer:
Diameter= 16 cm circumference is 50.24
Step-by-step explanation:
The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
Calculation of the diameter and the circumference of the circle:Since the radius is 8 cm
So here the diameter be
= 2(radius)
= 2 (8)
= 16 cm
Now the circumference of the circle is
[tex]= 2\pi r\\\\= 2 \times 3.14 \times 8[/tex]
= 50.24
hence, The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
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A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
What’s 57.036 in word form
What is the common factor in the expression 5ײ+20×+30?
Answer:
2t-6
Step-by-step explanation:
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
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Calculate the length of the unknown side of the right-angled triangle
I will mark brainliest if you give me the answer
Answer:
17
Step-by-step explanation:
Shape: Isosceles Right Triangle.
Isosceles Right Triangles always have two sides of equal length. In this case, the sides of equal length include 17 and 17. The third side (9) would refer to the base, so it would not count.
Also, if you turn the shape sideways, you can see that the unknown side would be 17.
Hope this helps!
St
Question 1
Calculate the derivative of y = f(x) = 3 x(4x + 7)
Your answer:
Answer:
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Step-by-step explanation:
Explanation:-
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
x=3
y=0
i hope this helps:)
Step-by-step explanation:
4(x+4) + 2x = 52 need answer
Answer:
x=6
Step-by-step explanation:
HELP MIDDLE SCHOOL QUESTION
answer:
26.563 miles.
step-by-step explanation:
5.123 + 6.34 + 7.1 + 8 = 26.563
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Due to the increase in global travel and the prevalence of invasive species, the Anopheles mosquito carrying the malaria parasite was inadvertently introduced to this isolated Pacific island. A researcher, 100 years from the present day, decides to complete a follow-up study and monitors another 50 couples who are all heterozygous for type A blood and have sickle cell trait. These couples had 136 children. Based on the introduction of the Anopheles mosquito carrying the malaria parasite, predict scientifically logical observed numbers of children for each genotype possibility and complete a chi-square statistical analysis test.
i. What is your predicted chi-square value(x^2)?__________
ii. Calculate df. _______
iii. Using the critical values table, determine the predicted P value.
Answer:
i. Predicted chi-square value(x^2)?______ 22.35
ii. df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.
The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.
Step-by-step explanation:
Phenotype Predicted ( o) Expected (e) (o-e) (o-e)²/e
(observed)
A- normal 19 3/4 * (1/4)= 3/16 25.5 -6.5 1.66
O normal 5 1/4 * (1/4)= 1/16 8.5 -3.5 1.44
A trait 70 3/4 * (1/2)= 3/8 51 19 7.07
O trait 25 1/4 * (1/2)= 1/8 17 8 3.67
A Disease 13 3/4 * (1/4)= 3/16 25.5 -12.5 6.13
O Disease 4 1/4 * (1/4)= 1/16 8.5 -4.5 2.38
136 136 22.35
i. What is your predicted chi-square value(x^2)?______ 22.35
ii. Calculate df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02
The P-Value is .050985. The result is not significant at p < .01.
The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00
The P-Value is .010362. The result is not significant at p < .01.
The calculated value of chi square is 22.35 which is greater than 15.00 and 11.02 , the critical regions at alpha 0.05 and 0.01
Therefore it falls in the critical region and the result is insignificant.