For the given diameter d=20 cm, the radius is 10 cm.
What is radius?
Radius is a straight line segment that connects the center of a circle or sphere to any point on its circumference or surface respectively. It is a fundamental measurement used in geometry and is denoted by the letter "r". The radius is half the diameter of a circle or sphere, and it is used to calculate important properties of the circle or sphere, such as its circumference, area, and volume.
If d = 20 cm, then d represents the diameter of a circle.
To find the radius (r) of the circle, we divide the diameter by 2:
r = d/2 = 20 cm/2 = 10 cm
Therefore, for diameter d=20 cm, the radius of the circle is 10 cm.
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Learning Diagnostic Analytics Recommendations Skill plans Fifth grade > AA.12 Describe relationships among quadrilaterals SZT Complete the sentence below. A rhombus is a rectangle. always sometimes never Submit
A rectangle has 4 right angles.
A rhombus does not have 4 right angles,
So, A rhombus is sometimes a rectangle
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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A block exerts a force of 84 Newtons on a table.
The pressure on the table is 30 N/m².
Work out the area of the box that is in contact with the table.
Total for question 5 is 2 marks)
pressure =
force
area
Answer:
2.8m²
Step-by-step explanation:
p = F / A
A = F / p
A = 84 / 30
A = 2.8m²
a rhyolite rock has a volume of 9.5 ml. the density of the rock is 2.6 g/cm. what is the mass of the rock
P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
Factor 4x²-12x+5x-15
Answer:
\((4x+5)(x-3)\)
Step-by-step explanation:
We can separate this expression into two parts: \(4x^2-12x\) and \(5x-15\).
We can first take the first part and factor out 4x, getting \(4x(x-3)\).
We can then take the second part and factor out 5, getting \(5(x-3).\)
Now when we put these parts together, they make \(4x(x-3)+5(x-3)\\\).
The last step is to factor \((x-3)\) to get \((4x+5)(x-3)\).
uestion 5 (1 point) Find the following Quadratic Regression for the following set of data
(-1,8), (5,-4), (7,8), (2,-6)
A. y= = 2x² - 6x + 2 2
B. y = .96x² - 5.77x + 1.38
C. y = -5.77x² + 1.38x+.96
D. y = 5x + 10
The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96
How to determine the quadratic regression equationFrom the question, we have the following parameters that can be used in our computation:
(-1,8), (5,-4), (7,8), (2,-6)
Using a graphing calculator, we have the following summary:
function value
mean of x 3.25
mean of y 1.5
correlation coefficient r 0.9990171837
A 1.380577428
B -5.769028871
C 0.9553805774
The equation is represented as
y = ax^2 + bx + c
So,, we habe
y = 1.38x^2 - 5.77x + 0.96
Hence, the equation is y = 1.38x^2 - 5.77x + 0.96
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The company with the common equity accounts shown here has declared a stock dividend of 20 percent at a time when the market value of its stock is $30 per share. Common stock ($1 par value) $ 460,000 Capital surplus 861,000 Retained earnings 3,870,800 Total owners' equity $ 5,191,800 What would be the number of shares outstanding, after the distribution of the stock dividend? (Do not round intermediate calculations.)
1110800. Equity Account will be after stock dividends
What is stock dividend ?Similar to a cash dividend, however instead of cash, stocks are given out. A stock dividend will increase the number of shares outstanding while lowering the stock price.
In this issue, there are 460000 shares outstanding at a price of $30, which equals 13800000
Equity's total market value is $13800000.
Each shareholder will get a 20% increase in stock, and the number of existing shares will increase as a result of the 20% stock dividend.
Shares outstanding after dividend announcement total 460000 + 46000 ×20% =552000.
The number of outstanding common shares will rise to 552000 as a result of the issuance of 92000 more shares.
Common stock only contains the par value; for example, if the market price of a share is $30 and the par value is $1, the excess amount of $29×92000:2668000 is added to the capital surplus account. It will total 861000 + 2668000=3529000.
Due to the absence of any monetary transactions, the total owners' equity is unaltered.
The retained earnings will be decreased by 92000 × 30 = 2760000, resulting in 3870800 – 2760000=1110800.
Equity Account will be after stock dividends.
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As the height of a dropped ball decreases, what happens to its potential energy?
a. it increases
b. it remains the same
c.it decreases
d. it runs out
Answer:
it's potential energy decreases
5. What is the value of the expression
[(29 + 18) + (17 - 8)] = 8?
Anan had some money. He spent $200 on clothes, ⅖ of his remaining money on a pair of boots and saved the rest. He saved $126.How much money did Anan have at first?
Answer:
He had 543.333...$
Step-by-step explanation:
200$ + 126$ = 3/5
2/5= ?$
3/5 = 60%/100%
326$ divided by 60 = 1%
1% x 100 = 100%
326 divided by 60 = 5.4333...
5.433... x 100 = 543.333...
So, 100% = 543.333...
which number below has the least value?
A 7 1/4 B 7 1/5 C 7 1/2 D 7 1/10 E 7 1/20
Answer:
E: 7 1/20
Step-by-step explanation:
the greater the denominator the smaller the fraction so 1/20 is smaller than 1/4
help me plz due today
Answer:
The coefficients are 4 and 2
Step-by-step explanation:
they are the ones in front of the variables
for example, the coefficient of 12x is 12
anyways, stan tokoroki for clear skin
David was asked to solve the problem below:
If a = 5x - 4 and b = 3x, what is the value of a - b?
David used the steps below to solve the problem
Step 1: a - b
Step 2: (5x-4) - 3x
Step 3: 5x-4-3x
Step 4: -2x
Determine whether David's solution is correct. If he is correct, show the work that proves he is
correct. If he made an error, explain what he should have done instead, and provide the correct
solution.
Answer:
not correctStep 4: 2x -4Step-by-step explanation:
You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.
SolutionDavid's solution is correct up to Step 4.
At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...
Step 4: (5 -3)x -4 = 2x -4
David's incorrect solution should have been 2x -4.
Use the expression 4•(12) What is the value of the expression
Answer:
48
Step-by-step explanation:
12 x 4 = ?
Can I get a crown?
I need help I have to get this done by tomorrow
Answer:
204768
Step-by-step explanation:
You just need to multiply 3762 with 54
Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win. Which method did she use to collect her data? survey simulation experiment observational study
Answer:
b is right (simulation)
Step-by-step explanation:
edg
The method of data collection used is the simulation method
What is a number cube?A number cube (also known as a die) is a device that is used in simulating probabilities
Below is how to determine the method she used.
From the question, we have the following highlights:
Chance of winning = 1/6She rolls a number cubeThe outcome is assigned to the team that would winThe highlight 3 above implies that the method of data collection used in this question is the simulation method
This is so because the winning team is determined by rolling a number cube
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I need this fast please
Answer: It is B/Spinner 2
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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Date Sunrise Sunset
Sept. 1 6:58 am 8:09 pm
Sept 2 6:59 am 8:08 pm
Sept 3 7:03 am 8:01 pm
Sept 4 7:04 am 7:59 pm
Sept 5 7:05 am 7:58 pm
Sept 6 7:06 am 7:56 pm
Sept 7 7:07 am 7:54 pm
Sept 8 7:08 am 7:53 pm
Sept 9 7:08 am 7:52 pm
Sept 10 7:09am 7:50 pm
Sept 11 7:10 am 7:49 pm
Sept 12 7:11 am 7:47 pm
Sept 13 7:12 am 7:45 pm
Sept 14 7:13 am 7:44 pm
a. Plot the data using the x and y axes on a separate sheet of paper. Let the yaxis represents minutes of sunlight and the x-axis represent the date. Label
the axes appropriately.
b. Use your graph to predict the number of minutes of sunlight on Sept. 30.
c. Use the data to try and find a pattern in the sunrise time and sunset time.
Explain.
After Halloween, Kyle had 4 3/8 bags of candy. If Kyle gives 1 7/8
bags of candy to his little brother, how many bags of candy will
he have left
Answer:
2 1/2
Step-by-step explanation:
To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.
Answer:
2.5 OR 3 1/2
Step-by-step explanation:
Well we can just do
4 and 3.8 minus 1 and 7/8
like how you would do on real problems
Do the same thing to fractions instead
Hope this helps! Im a real math expert
Tell me if anymore questions!
Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answer:
what we have to find or to prove.
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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Zach wants to have a flower bed in his backyard he measures the area of the flower bed to be 10 square feet the actual measurement of the flower bed is 10.6 square feet approximately what is Zach's percent error
1) Gathering the data
Area: 10 ft²
Actual: 10.6 ft²
2) To find the percent error, let's divide the estimated error by the actual area, in this case:
\(P=\frac{10}{10.6}\approx0.94\)3.) So the percent error was 0.94 we then multiply by 100: We have the error.
Zach's percent error was 94%
There were 38 balloons at the beginning of a party. By the end of the party, c of them had popped. Using c, write an expression for the number balloons that were left.
Answer:
\(37 - c = x\)
Step-by-step explanation:
We'll use c to represent the amount taken away (subtracted) and x to represent the amount left (the answer).
We begin with 37 balloon, and take away c amount to make x.
37 - c = x
image What's the exact area of triangle DEF shown in the graph? Question 13 options: A) 15 square units B) 18 square units C) 24 square units D) 36 square units
Using the coordinate geometry formula, the exact area of triangle DEF is: B. 18 square units.
What is the Coordinate Geometry Formula?The coordinate geometry formula is used to find the rea of a triangle with given coordinates of its vertices. It is given as: the absolute value of [Dx(Ey - Fy) + Ex(Fy - Dy) + Fx(Dy - Ey)]/2.
Dx = -3
Dy = 4
Ex = 3
Ey =-2
Fx = 3
Fy = 4
Plug in the values:
[-3(-2 - 4) + 3(4 - 4) + 3(4 - (-2))]/2.
[-3(-6) + 3(0) + 3(6)]/2.
[18 + 0 + 18]/2.
36/2
= 18 units²
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Wich graph matches the equation y+3=2(x+3)
Answer:
The leftmost graph [with the points (-3,-3) and (0,3)]
Step-by-step explanation:
y+3=2(x+3)
y+3=2x+6
y=2x+3
The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).
Hope this helps! (:
I need help! ANSWER THIS QUICK
Answer:
Step-by-step explanation:
Diameter = 84 km
Radius = 84/2 = 42 km
Area of circle = πr²
= 3.14 * 42 * 42
= 5538.96 km²
How old would u be if you was born in 1475 and died in 1946
Answer: 471 years old
Step-by-step explanation:
1946-1475= 471
What number when multiplied by 1 1/4 has a product of 1
Answer: 4/5 or 0.8
Step-by-step explanation:
\(1\frac{1}{4}\) * \(\frac{4}{5}\) = \(\frac{1}{1}\) = 1
\(1\frac{1}{4}\) is also equal to 1.25.
1.25 * 0.8 = 1
Answer:
4/5
Step-by-step explanation:
because 4 is half of a half two fourths are a half and 4/4 are 1 whole