Solve the formula C = d for d.
Answers
To solve the given formula for d, we divide the equation by π:
\(\begin{gathered} C=\pi d, \\ \frac{C}{\pi}=\frac{\pi d}{\pi}, \\ d=\frac{C}{\pi}. \end{gathered}\)Answer:\(d=\frac{C}{\pi}.\)Related Questions
What’s 10/12 converted to a decimal
Answers
Answer:
0.83(2 DP)
Step-by-step explanation:
\(10/12 = 10 \div 12 = 0.83\)
Hope this helps!
Answer:
0.833333 continues 3's btw
What is the solution to the system (1)x-y+a=-1(2)x+y+3z=-3(3)2x-y+2z=0
Answers
Convert first the given into an augmented matrix.
\(\mleft[\begin{array}{ccc|c}1 & -1 & 1 & 1 \\ 1 & 1 & 3 & 3 \\ 2 & -1 & 2 & 0\end{array}\mright]\)Next, perform Gauss-Jordan elimination or row reduced echelon form to find each values for x, y, and z
\(\begin{gathered} R_2=R_2-R_1\mleft[\begin{array}{ccc|c}1 & -1 & 1 & 1 \\ 0 & 2 & 2 & 2 \\ 2 & -1 & 2 & 0\end{array}\mright] \\ R_3=R_3-2R_1\mleft[\begin{array}{ccc|c}1 & -1 & 1 & 1 \\ 0 & 2 & 2 & 2 \\ 0 & 1 & 0 & -2\end{array}\mright] \\ R_2=\frac{R_{2}}{2}\mleft[\begin{array}{ccc|c}1 & -1 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 1 & 0 & -2\end{array}\mright] \end{gathered}\)\(\begin{gathered} R_1=R_1+R_2\mleft[\begin{array}{ccc|c}1 & 0 & 2 & 2 \\ 0 & 1 & 1 & 1 \\ 0 & 1 & 0 & -2\end{array}\mright] \\ R_3=R_3-R_2\mleft[\begin{array}{ccc|c}1 & 0 & 2 & 2 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & -1 & -3\end{array}\mright] \end{gathered}\)\(\begin{gathered} R_3=-R_3\mleft[\begin{array}{ccc|c}1 & 0 & 2 & 2 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 3\end{array}\mright] \\ R_1=R_1-2R_3\mleft[\begin{array}{ccc|c}1 & 0 & 0 & -4 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 3\end{array}\mright] \\ R_2=R_2-R_3\mleft[\begin{array}{ccc|c}1 & 0 & 0 & -4 \\ 0 & 1 & 0 & -2 \\ 0 & 0 & 1 & 3\end{array}\mright] \end{gathered}\)At the last solution of the row reduced echelon form, we determine that the solution to the system is (x,y,z) = (-4,-2,3)
Use the bar graph to find the probability of the event
Not spinning a 1
Answers
10+8 you add all the data to get your answer
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
The governor of state A earns $48,530 more than the governor of state B. If the total of their salaries is $301,990, find the salaries of each
Answers
Answer:
Governor A makes $175,260.
Governor B is $126,730.
Step-by-step explanation:
-We know that both of their salaries equals $301,990.
-We also know that governor A makes $48,530 more than govenor B, which can be represented by: Salary of A = B + $48,530.
$301,990 total salary = salary of A + salary of B.
Substitute 'B + $48,530' for the salary of A, which would give us the equation:
$301,990 = B + (B + $48,530)
Subtract $48,530 from both sides.
$253,460 = B + B
That can be rewritten as:
$253,460 = 2B
To solve for B, divide both sides by 2, which gives us:
$126,730 = B.
Therefore, the salary of governor B is $126,730.
Since the salary of governor A is $48,530 more than governor, you should add governor to the salary of govenor B.
$126,730 + $48,530 = $175,260.
Therefore, governor A makes $175,260.
Alex buys 30 shares of Walmart at the close price if $48.80. His broker charges him 3% of each share. How much did Alex spend in total to buy this stock?
Answers
Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.
What is shares?
Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.
Alex buys 30 shares of Walmart at the close price of $48.80.
His broker charges him 3% of each share.
Purchasing of 30 shares =48.80 *30
=$1464
Now we have to find the 3% of total purchasing of shares.
So,
Broker's fees =\(\frac{3}{100}*1464\)
= 0.03 * 1464
= 43.92
So, total cost of stock= 1464+43.92
= 1507.92
Hence, Alex spend $1507.92 in total to buy this stock.
Learn more about shares here:
https://brainly.com/question/2120956
#SPJ1
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answers
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
Answers
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
For more such questions on decimal
https://brainly.com/question/29078018
#SPJ8
Divide.
7045 ÷ 15
A.46 14/15
B. 469/1 15
C.469/23
D.479
Answers
Answer: 469.6666
the correct answer is c I believe
Step-by-step explanation:
Answer: B) pls give me brainliest
What is the amount of oil for a sports car? 5 gallons, 5 quarts or 5 cups
Answers
Answer:
Option A.
Step-by-step explanation:
We need to find the amount of oil for a sports car.
We know that,
1 quart = 4 cups
1 gallon = 4 quarts = 16 cups
Since, quart and cup are small units and they are not sufficient for a sports car because sports car needs more oil, therefore the amount of oil for a sports car is 5 gallons.
Therefore, the correct option is A.
PLEASE HELP
The triangle above has the following measures.
q = 6 yd
m/Q=43°
Find the length of side r.
Round to the nearest tenth and include correct units.
Show all your work.
Answers
Answer:
r=5.9
Step-by-step explanation:
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
Answers
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
To know more about probability
brainly.com/question/17011124
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
Answers
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
Learn more about expression at https://brainly.com/question/1859113
#SPJ1
Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
Answers
6 11/12 should be rounded to 7
The estimated sun is 17 lbs
To find the estimated sun add 10+7
Why do you think it is important to follow the order of operations? What will happen if you ignore it?
Answers
Answer: It is important to follow the order of operations because you want to make sure you get an accurate result and it ensures that you can understand and approach a mathematical problem easily. It's also important too because it sets a standard of how to solve equation so without it, equations could have multiple answers and that won't be right.
For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answers
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
Mrs. Aldridge spilled coffee on her Answer Key and can't see the width of
the rectangle anymore. What would be the width of a rectangle with the
given area (shown in image below)?
x +9
x² + 11x + 18
(My answer is a guess so please show your work if you answer this question!)
thank you:)
Answers
Answer:
x + 2
Step-by-step explanation:
Area = x² + 11x + 18
length = x + 9
width = ?
Area = length x width
Factor the polynomial x² + 11x + 18:
length x width = (x + 9)(x + 2) = x² + 11x + 18
The length is x + 9, therefore the width is x + 2
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
In their savings accounts, Jim has $250 and Norma has $400. If Jim saves $350 a month and Norma saves $300 a month, how many months will it take
for them to have the same amount in their savings accounts?
Answers
Answer:
the answer is 2 months
Step-by-step explanation:
I think
Answer:
2 monts
Step-by-step explanation:
I cant explain but it is 2 monts i solve it
Exam Guidelines
Exam Instructions
Question 15 of 20:
Select the best answer for the question.
15. Simplify: (3 x 22) = 6 + [28 – (4)?1
A. 55
B. 23
ООО
C. 32
D. 46
Answers
If you are working 30 hours per week, and 3 hours = 10%, what percentage
is 6 hours?
Answers
3/30 = 10/100
6/30 = 20/100
since every 3 hours its 10 percent and 3 x 2 is 6 and 10 x 2 is 60
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 4x -13
y = 6x+4
y = 2x-5
y = 1/2 x -2
Answers
Answer:
y=2x-5
Step-by-step explanation:
By using two-points form:
y-y1/y2-y1=x-x1/x2-x1
p(x1,y1)=(4,3)
p(x2,y2)=(2,-1)
Subtitute points in formula:
y-3/-1-3=x-4/2-4
y-3/-4=x-4/-2
y-3/-2=x-4/-1
1(y-3)=2(x-4)
y-3=2x-8
y=2x-8+3
y=2x-5
Note:if you need to ask any question please let me know.
A cup of tea is placed on a table. At a time of t minutes after being placed on the table, its temperature in degrees Celsius is given by
T = 20 + Ae⁻ᵏᵗ
Where A and K are positive constants. The initial temperature of the tea was 70℃
a. Find the value of A
b. The tea takes 4 minutes to decrease in temperature from 70℃ to 50℃
show that k = 1/4 In (5/3)
please can someone explain how to get the time (t minutes) as well as a. and b. as i am baffled! i dont know what to do
Thankyouu!!
Answers
Step-by-step explanation:
To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.
a. Finding the value of A:
We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:
70 = 20 + Ae^(0) (since e^0 = 1)
70 - 20 = A
A = 50
So the value of A is 50.
b. Finding the value of k:
We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.
Substituting T = 70 and t = 4 into the equation, we have:
70 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
50 = 50e^(-4k)
Dividing both sides by 50:
1 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(1) = ln(e^(-4k))
0 = -4k
Dividing both sides by -4:
0 = k
However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4(0))
50 = 20 + 50e^0
50 = 20 + 50(1)
50 = 20 + 50
50 = 70
Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.
Let's try another approach:
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
30 = 50e^(-4k)
Dividing both sides by 50:
0.6 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(0.6) = ln(e^(-4k))
ln(0.6) = -4k ln(e)
ln(0.6) = -4k(1)
ln(0.6) = -4k
Simplifying further:
k = ln(0.6) / -4
Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:
k = ln(5/3) / 4
To recap:
a. The value of A is 50.
b. The value of k is approximately k = ln(5/3) / 4
.
Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.
I need help solving this ACT prep guide practice problem This problem has an additional picture of a graph that I will send you myself
Answers
we have the function
\(f(x)=\sin (\frac{\pi x}{2})\)we have that
For x=0, f(x)=0
For x=1, the value of f(x) is a maximum ----> f(x)=1
For x=-1, the value of f(x) is a minimum ----> f(x)=-1
using a graphing tool
see the attached figure below
f(x)= 7x^3-8x+2, f'(-2)
Answers
Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).
a. 26
b. 38
c. 40
d. 42
Answers
Answer:
(p-q) (3) = 40 The anwser is c
Step-by-step explanation:
If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
p(n)=4n²+4n−6 and q(n)=n²−5n+8
Substitute the given values and apply the arithmetic operation as,
(p−q) = (4n²+4n−6) - (n²−5n+8)
(p−q) =3n²-n+2
Put n = 3 for the given conditions,
(p−q)(3) =3(3)² - 3 +2
(p−q)(3) =27-3+2
(p−q)(3) =29-3
(p−q)(3) =26
Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
The amount of money in an account after is has been earned interest is $1080, the principle is $1000, and the time is 2 years. What is the annual interest rate?
Answers
9514 1404 393
Answer:
4%
Step-by-step explanation:
We assume the interest earned is simple interest, because that make the numbers come out "nice."
The account balance is given by ...
A = P(1 +rt) . . . . principal P earns simple interest at annual rate r for t years
1080 = 1000(1 +r·2) . . . . fill in the given values
1.08 = 1 +2r . . . . . . . . . . divide by 1000
0.08 = 2r . . . . . . . . . . . subtract 1
0.04 = r = 4% . . . . . . . divide by 2
The annual interest rate is 4%.
_____
Additional comment
If interest is compounded annually, the annual rate is about 3.92%. If it is compounded continuously, the rate is about 3.85%.
ing One Step Equations - Barb knows that she needs 8.5 hours of sleep every night to feel rested and sharp. If Barb has been getting her 8.5 hours of sleep every night, write and solve an equation that represents the number of perfect nights of sleep she's had, if she's had 3102.5 hours of sleep.
I've been stuck on this for sooo longgg:((
Answers
Answer:
x=3102.5/8.5 is your answer
Step-by-step explanation:
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answers
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
Answers
Hope this helps :)