Using the formula below, find F, when f = 1000 and r = 8
Give your answer as a decimal number.
Answers
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
F = 15.625
Step-by-step explanation:
This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.
To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.
Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.
At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.
I have attached a photograph of this calculation written down.
Related Questions
Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all your work.
Answers
9514 1404 393
Answer:
-160
Step-by-step explanation:
-15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160
The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.
4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?
Answers
Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:
[tex]20 \times 2.5 = 50[/tex]
The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:
[tex]T(f) = 68 - 0.3f[/tex]
Jody is at a depth of 50 feet, thus the temperature is T(50).
[tex]T(50) = 68 - 0.3(50) = 53[/tex]
The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
A similar problem is given at https://brainly.com/question/24316569
Please help me solve this problem
Answers
Answer:
i am sorry but plz help me
A cyclist travels at an average speed of 15 mph for 4 hours. How far did she travel in miles?
Answers
Answer:
60 miles per hour
Step-by-step explanation:
15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer
Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
Answers
2y = 14x + 12 (add 14x to both sides)
y = 7x + 6 (divide all by 2 so we just have y and not 2y)
Parallel means it has the same slope but different intercept. So we need to know which intercept allows us to have a slope of 7 but go through the point (1, 16).
y = 7x + b
16 = 7(1) + b (substitute x & y)
16 = 7 + b (simplify)
9 = b (subtract 7 on both sides)
So the intercept is 9. So the equation of the parallel line would be y = 7x + 9.
And that answer is parallel to the original line y = 7x + 6; the whole line is shifted upwards by 3 units.
A jar has 20 marbles: 3 green, 12 blue, 5 red.
What is the probability of randomly choosing a red and then a green marble (keep the red marble when you choose it)?
Answers
Probability is defined as the likelihood or the certainty that an event is going to occur or happen.
The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
In simplest fraction form = [tex]\frac{1}{4}[/tex]
We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore, the probability of randomly choosing a red and then a green marble is
P (Red) x P(Green)
= 1/4 x 3/19
= [tex]3/76[/tex]
To learn more, visit the link below:
https://brainly.com/question/22563776
A map of Asia has a scale of 1.5 inches= 300 miles. The distance between Thailand and China is about 5.25 inches. How far is it from Thailand to China in miles? Round to the nearest mile.
Answers
Answer:
1050
5.25/1.5 = 3.5
3.5x300 = 1050
Evaluate.
(w2x−3)÷10⋅z when w=−4, x = 0.8, and z=−4/5
Enter your answer as a simplified mixed number in the box.
Answers
⅘ ≈ 0,8
Step-by-step explanation:(w2x - 3) ÷ 10 × z
= (-4 × 2 × 0,8) ÷ 10 × -⅘
= (-8 × 0,8) ÷ -8
= -6,4 ÷ -8
= ⅘ ≈ 0,8
Conclusion:Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.
[tex] [/tex]
After using the linear equations method we will get 1.76.
What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.
How to calculate question by adding their values in the given equation?
firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]
Hence the answer is, 1.76
To learn more about linear equations
https://brainly.com/question/2030026
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What is the decimal number 34.576 written in expanded form?
Answers
Answer:
30+4+0.5+0.07+0.006
Step-by-step explanation:
Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $AQ = 6,$ $BQ = 12$, and $CD = 38$, then find the minimum length of $CQ$.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The products of chord lengths are the same for the intersecting chords:
AQ×BQ = CQ×DQ
6×12 = CQ×(38 -CQ)
This gives a quadratic in CQ:
CQ² -38CQ +72 = 0 . . . . . write in standard form
(CQ -2)(CQ -36) = 0 . . . . . factor the quadratic
CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero
The minimum length of CQ is 2 units. (DQ will be 36.)
Round the following numbers to 1 significant figure: a) 276 040 b) £238.02 c) 17521 km
Answers
Answer:
a) 300000 b)£200 c) 20000km
Step-by-step explanation:
5. Ari is playing a board game. After 3 moves he is on
space 17. Ari's first move was forward 2 spaces, and
his third move was forward 7 spaces. What was Ari's
second move? Explain how you found the answer.
Answers
Answer:
8
Step-by-step explanation:
17-(9+2)=8
fast 100 points right check
Answers
Answer:
It won't let me put my answer sorry
Samantha spent 40 minutes on homework sixty percent of that time was spent on language arts how many minutes were spent in language art
Answers
Answer:
i think its b.24 minutes
Step-by-step explanation:
sorry if im wrong
Answer:
Samantha spent 24 minutes on language arts.
Step-by-step explanation:
So, 60% = 3/5.
Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:
3/5 = x/40
Since we know 5 x 8 = 40, we would also multiply the numerator by 8.
3 x 8 =24.
So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.
What is 104 1/6 simplified pls help me
Answers
Answer:
104
Step-by-step explanation:
If is wrong i'm sorry
ANSWER QUICK PLEASE!!
Factor the expression 24 y - 40 using the greatest common factor of the terms.
A. 4(6y - 20)
B. 8(3y - 5)
C. 4(24y - 40)
D. 8(3y + 5)
Answers
Answer:
Step-by-step explanation:
B
good luck on the rest of your assessment!!
Blake can paint a room in 9 hours, Ned can paint the same room in 6 hours, how long to paint the room together
Answers
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
Answers
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
Answer:
Its for the person above me to get brainiest! really great answer!
Step-by-step explanation:
Yw! :D
Ken has 45 books to put on shelves.
He wants to put the same number of books on each shelf.
Which of the following lists shows all of the choices for how many books to put on each shelf?
Answers
Answer:
3, 5, 9, 15
Step-by-step explanation:
Just find all the factors
A pot contains 30 ounce's of soil. You use 2 3/4 ounces of soil to plant 1 herb.Is there enough soil in the pot to plant 10 herbs?
Answers
f(x)=10x^2-5x-3, evaluate f(-3)
Answers
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
3.HELP plz No LINKS AND NO HACKERS i will give brainlyiest NO COPIE D ANSWERSFROM OTHER USERS OR WEBSITE I WILL REPORT!!!! A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
(a) Write an equation to model the situation. Use the formula d = rt.
(b) Explain why it is reasonable to write the distance, d, as a positive number.
(c) How long did it take the diver to reach the surface?
Answers
Answer:
A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
a. using the formula d = rt, so 32.12 m = 8.8m/min (t)
b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface
c. t = 32.12/ 8.8 = 3.65 min
Step-by-step explanation:
hope this helps
What is the distance between the points (15,17) and (15,-4) in the coordinate plane?
A.
21 units
B.
10.5 units
C.
13 units
D.
2 units
Answers
Answer:
21
Step-by-step explanation:
15-15=0
17-(-4)=21
sqrt(0^2+21^2)=21
find the value of x
[tex]x[/tex]
Answers
70°
Step-by-step explanation:
because AB//CD value of x is :
x = 30° + 40°
x = 70°
Are these functions inverses of each other?Be sure to explain how you know they are inverse or why they are not. Show all work necessary.
Answers
Answer:
Yes. f(x) and g(x) are inverses of one another
Step-by-step explanation:
[tex]f(x) = - \frac{1}{2} x - 2 \\ y = - \frac{1}{2} x - 2 \\ x = - \frac{1}{2} y - 2 \\ x + 2 = - \frac{1}{2} y \\ - 2(x + 2) = - \frac{1}{2} y \times - 2 \\ - 2x - 4 = y \\ {f }^{ - 1} (x) = - 2x - 4[/tex]
In step 1 we just copied the original function.
In step 2 we substituted y for f(x).
in step 3 we switched the variables.
in step 4 we added 2 to both sides.
in step 5 we multiply both sides by -2
In step 6 we solved for y.
In step 7 is just a fancy way of saying the inverse function f(x) = -2x - 4
Somebody please help me w/ this <3
Answers
Answer:
2 times
Step-by-step explanation:
The longest worm is 2 times the length of the shortest worm
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item.
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answers
Answer:
1st,2nd,4th,
Step-by-step explanation:
You have to divide the price by the numbers of items!
Answer:
It's A,B,D
Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.
Step-by-step explanation:
Can someone help me out please
Answers
Answer:
The function is even.
Step-by-step explanation:
The graph resembles y = 1/x^2.
are the two triangles congruent 6cm 13cm
Answers
Congruent triangles are triangles that have equal corresponding angles and sides.
There is no enough information to determine if the triangles are congruent.
From the images of the triangles (see attachment), we can see that the two triangles have 6cm and 13cm as the lengths of their sides.
However, the side lengths of both triangles are not corresponding, and the angle measures are not given.
Hence, there is no enough information to determine if the triangles are congruent.
Read more about congruent triangles at:
https://brainly.com/question/1675117
The product of two positive consecutive integers is 72. Find the integers.
Answers
Answer:
8 and 9
Step-by-step explanation:
8 times 9 is equal to 72