Answer:
Hello my friend! The answer is in the picture below
Step-by-step explanation:
To rewrite the formula for diameter (d) in terms of the area (A) of the circle, you can use the following sequence:
1. A = [tex]pi * (d/2)^2[/tex]
2. [tex]d^2[/tex] = (2A)/pi
3. d = [tex]sqrt((2A)/pi)[/tex]
The question requires arranging the given equations to express the diameter of the circle in terms of its area. Let's proceed step by step:
Start with the formula for the area of a circle: A = pi * r^2, where 'r' is the radius of the circle.
Recall the relationship between diameter and radius: d = 2 * r.
Substitute radius 'r' with diameter 'd' in the area formula: This results in A = [tex]pi * (d/2)^2[/tex].
Solve this equation for diameter 'd': You'll get d = [tex]sqrt((4 * A)/pi)[/tex].
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I really don’t understand this question -_-
Answer:
Step-by-step explanation: When you have the number 1000 there are three zeros so in scientific notation you just have to mve the decimal to the right three times and you'll have your answer hope this helps!
Which of the following r-values represents the strongest correlation?
O A. 0.50
OB. 0.92
O C. 0.74
O D. 0.29
SUBMIT
Hey!
------------------------------------------------
Answer: 0.92
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Explanation: The correlation will be between 1 and -1. 1 being positive and -1 being negative. The highest number that is closest to the r value is the strongest correlation.
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Hope This Helped! Good Luck!
Answer:
0.71
Step-by-step explanation:
how can you tell if a relation is a function
One way to tell if a relation is a function is by using something called the vertical line test. In other words, if we can draw a vertical that passes through more than one point on a graph, then the relation does not represent a function. Another way to tell if a relation represents a function is by looking at the X coordinates of each ordered pair. If any of the ordered pairs have the same X coordinate, then the relation is not a function.
3.8×10⁵+4.25×10⁴+4.2×10⁵
The answer is 842500.
Solve x2 + 6x + 7 = 0.
Answer:
x= -7/8
Step-by-step explanation:
8x + 7 = 0
8x + 7-7 = 0-7
8x=-7
8x/8x = -7/8
Answer:
no solution
Step-by-step explanation:
use the box method to find out the factors
| 7
x^2 |
the top left and top right must multiply to 7x^2 and add up to 6x.
7 is multiplied together by 7 and 1, but only 7 and -1 can add up to 6x, so therefore there is no solution to this equation
another way is the quadratic equation
for an equation in form ax^2 +bx + c,
the quadratic equation states x = (-b + square root(b^2-4ac))/2a
in this case : x = -6 + (6^2 -28)^1/2 = -6+ (some negative root that doesn't exist)
so x = no solution
Sam is baking a batch of brownies. The recipe calls for 3/4 cup of milk. Sam is baking 1/4 of a batch. How much milk will he need to make the brownies?????
I failed it please tell me how to solve it
Answer:
3/16 cups
Step-by-step explanation:
Well, you see that 3/4 of a cup is 1 batch --->
3/4 cup : 1 batch
to get 1/4 of a batch, you can just multiply both sides of the ratio by 1/4
3/4 * 1/4 cups : 1 * 1/4 batches
3/16 cups : 1/4 batches
What is 9/20 but in percent form
Answer: 45%
Step-by-step explanation: Well in order to get a percent, we need the denominator to be 100 and then the value we get as the numerator is the percentage which we want to calculate.
To get a 100 in the denominator of 9/20, we multiply top and bottom by 5 and we get the equivalent fraction 45/100.
Now the numerator will be our percent which is 45.
So 9/20 is equivalent to 45%.
bradly Now assign a variable for time.
Answer: Let t represent the time in years.
Step-by-step explanation: that's what the answer is for your question exactly you don't need the explanation just "Let t represent the time in years. "
Solve for x:
2.9−x=0.29
Answer:
2.61
Step-by-step explanation:
You have to subtract 2.9 to 0.29 because it is a positive number and you have to do the opposite. That will give you -2.61 but you still have to bring down that negative x and to get rid of the negative, you divide both sides by one since there is an understood one beside the x and a number beside another number or variable means multiplication and that will give you, 2.61.
Solving for x in 2.9−x=0.29 is a simple algebraic operation that involves adding x to both sides of the equation to cancel it on the one side and then subtracting 0.29 from both sides to find x = 2.61.
Explanation:To solve for x in the equation 2.9−x=0.29, you'll need to think about it in terms of moving pieces from one side of the equal sign to the other. Therefore, if we add x to both sides of the equation, it cancels out the variable on the left. So, we have 2.9 = x + 0.29. After that, to isolate x on one side, subtract 0.29 from both sides and we end up with x = 2.9 - 0.29. When we calculate it, we get x = 2.61.
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Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x?
The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x simplify to 3x – 1, as like terms are combined to reach the final equivalent expression.
Explanation:The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x can be found by combining like terms. To start, we list all the terms out:
Positive six: +6Negative x (or -1x): –xTwo times x (or 2x): +2xNegative seven: –7Another two times x: +2xNow, we can combine like terms:
x-terms: –x + 2x + 2x = 3x
Constant terms: +6 – 7 = –1
So the equivalent expression is:
3x – 1
To check if our answer is reasonable, we make sure that all like terms have been combined and there are no further simplifications possible.
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When parallel lines are cut by a transversal, why are same-side interior angles supplementary? Use the fact that a line parallel to the transversal can be drawn to form a parallelogram in your answer.
A because the sum of the measures of a pair of same-side interior angles is equal to one-fourth the number of degrees in a parallelogram
B because the sum of the measures of a pair of same-side interior angles is equal to one-half the number of degrees in a parallelogram
C because the sum of the measures of a pair of same-side interior angles is equal to the number of degrees in a parallelogram
D because the sum of the measures of a pair of same-side interior angles is equal to twice the number of degrees in a parallelogram
Answer:
Because the sum of the measures of a pair of same-side interior angles
is equal to one-half the number of degrees in a parallelogram ⇒ B
Step-by-step explanation:
* Lets explain how to solve the problem
- In a parallelogram every two opposite sides are parallel
- In a parallelogram every tow opposite angles are equal
∵ The parallelogram is a quadrilateral
∵ The sum of the measures of the interior angles in any quadrilateral
is 360°
∵ In parallelogram each two opposite angles are equal
∴ The sum of the measures of every two adjacent angles
equal 360° ÷ 2 = 180°
* Lets solve the problem
- When parallel lines are cut by a transversal
∵ It is a fact that the parallel lines and their transversal can form a
parallelogram
∵ The sum of the measures of the adjacent angles of the
parallelogram is 180°
∵ The sum of the measures of the supplementary angles is 180°
∴ The same side-interior angles are supplementary, because
they are two adjacent angles in a parallelogram
* Lets find the true statement
∵ The sum of the measures of every two adjacent interior angles
in the parallelogram = 360° ÷ 2 = 180°
∵ 180° is half the sum of the measures of interior angles in the
parallelogram
∴ Because the sum of the measures of a pair of same-side interior
angles is equal to one-half the number of degrees in a
parallelogram
Round to the nearest hundred 92,651
Answer:
Step-by-step explanation: ok, so you know how when you round, if the digit before the number your rounding is 1-4, then you round down, and if it is 5-9 you round up. So in this case, you round up, so the answer is
92700
Pls help me get the answer and help me understand how to solve these type of questions
Answer:
y = (x - 4)² + 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (4, 2), thus
y = a(x - 4)² + 2
To find a substitute a point that lies on the curve into the equation
Using the point (2, 6), then
6 = a(2 - 4)² + 2
6 = 4a + 2 ( subtract 2 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
Hence
y = (x - 4)² + 2 ← equation in vertex form
Mary can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If they work together how long would it take them to clean the apartment
Answer:
2 hours and 44 mins
Step-by-step explanation:
Final answer:
Mary and her roommate can clean the apartment together in approximately 2.73 hours. This is calculated by adding their individual cleaning rates and then taking the reciprocal of the sum to find the total time.
Explanation:
The question asks how long it would take for Mary and her roommate to clean the apartment if they worked together. Mary can clean the apartment in 6 hours, which means in one hour, she can clean 1/6 of the apartment. Her roommate can clean the apartment in 5 hours, so in one hour, the roommate can clean 1/5 of the apartment. Working together, their combined cleaning rate per hour is 1/6 + 1/5. To find their combined rate, we get a common denominator, which is 30, so their rates become 5/30 and 6/30, respectively. Summing these, we get a combined rate of 11/30 of the apartment cleaned per hour. To find the amount of time it takes for them to clean the entire apartment together, we divide 1 by their combined rate, so 1 / (11/30) = 30/11 hours which is approximately 2.73 hours.
What are the prime numbers for 8 an 9
Answer neither 8 nor 9 are prime!!!
If you have agreed to shovel 10 driveways in your neighborhood, how long will it take for you and your friend to complete the work?
Answer:
divide 10 by two
Step-by-step explanation:
easy
To determine the time required to shovel 10 driveways, additional details such as the time for one person to shovel one driveway are needed. The method of snow removal, collaboration efficiency, and driveway conditions are key factors affecting the duration.
To determine how long it will take for you and your friend to shovel 10 driveways, we need more information about the time it takes for one driveway to be shoveled by one person. Since this information is not provided, I cannot give a precise answer. However, I can discuss the factors that will affect the time required to complete the work, including the method of snow removal used, the size and condition of the driveways, the amount of snowfall, and the efficiency of you and your friend while working together.
If using hand shovels, snow blowers, or a pickup truck with a snowplow, the time will vary significantly. With hand shovels, expect it to take the longest time, as this method is labor-intensive. Using a snow blower will reduce the time compared to shoveling by hand. And finally, using a pickup truck with a snowplow will likely be the fastest method, assuming the driveways are accessible and suitable for this equipment.
The efficiency of you and your friend working as a team will also impact the duration. If you work simultaneously on separate driveways, you could potentially cut the time in half, compared to working alone. Therefore, collaboration and the chosen snow removal method will ultimately dictate the total time spent.
A spool of ribbon holds 6.75 meters. A craft club buys 21 spools.
a. What is the total cost if the ribbon sells for $2 per meter?
b. If the club uses 76.54 meters to complete a project, how much ribbon will be left?
Answer:
a. 141.75 m
b. 65.21 m
Step-by-step explanation:
One spool = 6.75 m
total ribbon = 21 spools
a) total spool in meter = 6.75×21 = 141.75 m
unit meter cost = 141.75×2 = 283.5 m
b) if the club uses 76.54 m then 141.75- 76.54 m = 65.21 m of ribbon left
Find the measurements of
For x -
180 = 4x + 6 + 11x - 6
180 = 15x
[tex]\frac{180}{15}[/tex] = x
x = 12
For m∠ABD -
4(12) + 6
48 + 6
m∠ABD = 54
For m∠DBC -
11(12) - 6
132 - 6
m∠DBC = 126
Answer:
x = 12° ; m∠ABD= 54° ; m∠DBC=126°
Step-by-step explanation:
∠ABD + ∠DBC = ∠ABC
Here ,
∠ABC is a straight line .
We know,
A straight angle is 180 degrees.
So,
∠ABD + ∠DBC = 180°
⇒(4x+6)° + (11x-6)° =180° [given]
⇒15x =180°
⇒x = (180/15)° [divide both sides by 15]
∴ x = 12°
Now,
∠ABD = (4x+6)° [given]
={(4 . 12) + 6 }°
=(48+6)°
=54°
And,
∠DBC = (11x-6)° [given]
={(11 .12)-6}°
=(132 - 6)°
=126°
Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)
Answer:
(3,-2)
Step-by-step explanation:
Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)
Answer:
(3, -2)
Step-by-step explanation:
( x1 + x2 / 2, y1 + y2 / 2 )
x2 = ( x1 + E / 2 ), y2 = ( y1 + E / 2 )
5 + x / 2 = 4, 2(5 + x / 2) = 4(2) = 5 + x = 8, x = 3
8 + y / 2 = 3, 2(8 + y / 2) = 3(2) = 8 + y = 6, y = -2
Round 2.1349 to the nearest hundredth. Explain in your own words why you round the number the way you do. Use a number line to support your explanation.
Answer:
2.13
Step-by-step explanation:
because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0
When round a number to the nearest hundredth, digit in the thousandths place should be focused.
To round the number 2.1349 to the nearest hundredth, look at the digit in the thousandths place, which is 4 in this case.
When rounding to the nearest hundredth, consider the digit immediately to the right of the hundredth place, which is the digit in the thousandths place. In this case, 4 is less than 5.
1. Start with the number 2.1349 on a number line.
2. Look at the digit in the thousandths place (4). Since it's less than 5, we do not need to round up.
3. Therefore, 2.1349 rounded to the nearest hundredth is 2.13.
If it's 5 or greater, you round up; if it's less than 5, you leave the hundredths place unchanged. In this case, 4 is less than 5, so we round down to 2.13.
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Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale
Answer:
see explanation
Step-by-step explanation:
x = r cosΘ
y = r sinΘ
with r = 54 and Θ = 69°, thus
x = 54cos69° ≈ 19.4
y = 54sin69° ≈ 50.4
Thus (54, 69° ) as an ordered pair
= [tex]\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right][/tex]
Which represents the solution to the absolute value equation 5[2x-4] +1 =11
The solution to the absolute value equation 5[2x-4] + 1 = 11 is the solution set {1, 3}.
To solve the absolute value equation 5[2x-4] + 1 = 11, we first isolate the absolute value expression by subtracting 1 from both sides of the equation, resulting in 5[2x-4] = 10. Then we divide both sides by 5, yielding |2x - 4| = 2. Next, we consider the two cases where 2x - 4 equals 2 and where 2x - 4 equals -2.
For the first case, 2x - 4 = 2, we add 4 to both sides to get 2x = 6, and then divide by 2 to find that x = 3. For the second case, 2x - 4 = -2, we add 4 to both sides to get 2x = 2, and then divide by 2 to find that x = 1.
Thus, the solution set to the original equation is {1, 3}, and we can verify these solutions by substituting them back into the equation to check that they satisfy the initial condition.
35% of 120 =
12% of 50 =
55% of 40 =
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 120\to0.35\cdot120=42\\\\\\12\%=\dfrac{12}{100}=0.12\\\\12\%\ of\ 50\to0.12\cdot50=6\\\\\\55\%=\dfrac{55}{100}=0.55\\\\55\%\ of\ 40\to0.55\cdot40=22[/tex]
How many inches does the ramp rise for each inch of length? Round to the nearest hundredth.
A) .25 inches
B) .33 inches
C) .34 inches
D) .67 inches
E) .72 inches
Answer:
The answer is B)
Step-by-step explanation:
First, we look at what we know. There are two points on the graph that we know, (0, 0) and (15, 5). This can give us the slope of the line.
y2 - y1 / x2 - x1 | Plug in our coordinates
5 - 0 / 15 - 0 | 5 / 15 | 1/3. Our slope is 1/3. This means that for each inch of length, the ramp rises .33 inches.
The answer is b
Have a great day.
Solve the following equation.
4 + 2y = 9+ 2y
A. 4
B. -4
C. infinitely many solutions
D. no solution
Answer:
D no solution
Step-by-step explanation:
4 + 2y = 9 + 2y
-2y -2y
4=9
Use Order of Operations
to solve.
4 to the third power -(24 ÷6) +8
Answer:
55.75
Step-by-step explanation:
First you start by doing what is in the parenthesis. so we divide 6 by 24 which gets us 0.25. Then we follow the rest of PEMDAS. Addition is next so we add 8 to 0.25 to get 8.25. Now we finally get to the fun part. 4 to the third power which is 64, then we subtract 8.25 to get 55.75. Hope that helps.
Identify the property in this equation: (7th Grade Math) 3 + [7 + (–4)] = (3 + 7) + (– 4)
Answer:
Associative Property
Step-by-step explanation:
The brackets moved, so it would be associative
Is 5.787787778... a rational number
Answer:
Irrational, because it is non-terminating and non-repeating So Its Irrational.
Compare the following functions to determine which has a greater rate of change.
• Image above •
A. Function 1 has the greater rate of change.
B. Function 2 has the greater rate of change.
C. Function 1 and Function 2 have the same rate of change.
D. Not enough information is provided to compare rates of change.
[tex]\text{Hello there!}\\\\\text{Lets see if the rate of change for the two functions are the same}\\\\\text{We know that the rate of change for the first function is -2/3}\\\text{Lets find the rate of change for the second function}\\\\\text{We will use}\,\,\frac{y2-y1}{x2-x1}\,\,\text{to find the rate of change}\\\\\text{Plug in the coordinates:}\\\\\frac{3-5}{3-0}\\\\\text{Solve:}\\\\\frac{3-5}{3-0}\\\\\frac{-2}{3} = \text{rate of change for function 2}\\[/tex]
[tex]\text{The rate of change is the same for both functions}\\\\\text{This means that:}\\\\\large\boxed{\text{Answer: C. Function 1 and Function 2 have the same rate of change.}}[/tex]
What are the solutions to the nonlinear system of equations below? Check all that apply.
Answer: answer is D and F
Step-by-step explanation: