The area of the circle is 225π in².
Given:
the square has an area of 900 in
we are asked to determine the area of the circle = ?
A of square = l²
l = √A
l = √900
l = 30 in
Now radius is half this measure:
r = 30/2
r = 15 in
now, area of circle:
A of circle = πr²
= π(15)²
= 225π
Hence we get the area of the circle as 225π
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Someone plz help hurry will mark.
What are some concurrent powers ?
The powers that are shared between the Federal government and State Government are called concurrent powers.
Concurrent powers are known to be those powers which are charged by both Federal Government as well as State Government. These powers are in contrast to reserved powers along with exclusive federal powers. A number of powers that are provided by the constitution of the United States to the Federal Government without stopping the same powers which are given to each individual state are termed as concurrent powers.
Establishment of court systems, Taxation as well as regulation of elections are known to be some of the common examples of these concurrent powers.
These powers can be used paralleled by both Federal and State Governments. For example, people living in one state may have to pay taxes for both the Federal government as well as State government and this happens because taxation comes under concurrent powers.
The farmers of the constitution were to believe that there should be a division of powers between national and state governments in order to stop single-use of power by one organization.
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In 5 minutes, a data entry clerk types 11 14 pages of
data. At this rate, how many pages can she type per
minute?
She can type 2.25
Answer:
Probs tbh
Step-by-step explanation:
Lol
Please help me 6th grade math
Answer:
1:3
Step-by-step explanation:
As a student drives to school, he encounters a traffic signal. This traffic signal stays green for 35 seconds, yellow for 5 seconds, and red for 60 seconds. Assume that the student goes to school each weekday between 8:00 and 8:30 a.m. Let X1 be the number of times he encounters a green light, X2 be the number of times he encounters a yellow light, and X3 be the number of times he encounters a red light. Find the joint distribution of X1, X2, and X3.
The joint distribution of X1, X2, and X3 by evaluating P(X1, X2, X3) for each combination of X1, X2, and X3 is approximately equal to 0.0001.
To find the joint distribution of X1, X2, and X3, we need to determine the probability of each combination of values for X1, X2, and X3.
Let's calculate the probabilities for each combination:
1) X1 = 0, X2 = 0, X3 = 1:
The student encounters a green light 0 times, a yellow light 0 times, and a red light 1 time. Since the traffic signal stays red for 60 seconds, the probability of this combination is 60 / (35 + 5 + 60) = 0.6.
2) X1 = 0, X2 = 1, X3 = 0:
The student encounters a green light 0 times, a yellow light 1 time, and a red light 0 times. The yellow light stays on for 5 seconds, so the probability of this combination is 5 / (35 + 5 + 60) = 0.05.
3) X1 = 1, X2 = 0, X3 = 0:
The student encounters a green light 1 time, a yellow light 0 times, and a red light 0 times. The green light stays on for 35 seconds, so the probability of this combination is 35 / (35 + 5 + 60) = 0.35.
4) X1 = 0, X2 = 0, X3 = 2:
The student encounters a green light 0 times, a yellow light 0 times, and a red light 2 times. The probability of this combination is 60 / (35 + 5 + 60) * 60 / (35 + 5 + 60) = 0.6 * 0.6 = 0.36.
5) X1 = 0, X2 = 1, X3 = 1:
The student encounters a green light 0 times, a yellow light 1 time, and a red light 1 time. The probability of this combination is 0.6 * 5 / (35 + 5 + 60) = 0.03.
6) X1 = 1, X2 = 0, X3 = 1:
The student encounters a green light 1 time, a yellow light 0 times, and a red light 1 time. The probability of this combination is 0.35 * 60 / (35 + 5 + 60) = 0.21.
7) X1 = 1, X2 = 1, X3 = 0:
The student encounters a green light 1 time, a yellow light 1 time, and a red light 0 times. The probability of this combination is 0.35 * 5 / (35 + 5 + 60) = 0.0175.
8) X1 = 0, X2 = 2, X3 = 0:
The student encounters a green light 0 times, a yellow light 2 times, and a red light 0 times. The probability of this combination is 0.6 * 0.6 = 0.36.
9) X1 = 2, X2 = 0, X3 = 0:
The student encounters a green light 2 times, a yellow light 0 times, and a red light 0 times. The probability of this combination is 0.35 * 0.35 = 0.1225.
All other combinations where X1 + X2 + X3 is greater than 2 have a probability of 0
Using these probabilities, we can calculate the joint distribution of X1, X2, and X3 by evaluating P(X1, X2, X3) for each combination of X1, X2, and X3.
For example, P(X1 = 3, X2 = 2, X3 = 1) = \((0.35)^3 * (0.05)^2 * (0.6)^1\).
= 0.0000643125
The joint distribution of X1, X2, and X3 by evaluating P(X1, X2, X3) for each combination of X1, X2, and X3 is approximately equal to 0.0001.
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18. What is the greatest common factor of the terms 6q^5 – 21q^4 - 15q^2
A. 3q^2
B. 6q^2
C. 3q
D. 2q^2
Answer:
A. 3q^2
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
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\(\sqrt{x} ^{2}-\sqrt{27}\)
Answer:
\(x - 3\sqrt{3} \)
Study hard!
Brainliest please thank you!
Las marcas de clases en una distribución de frecuencias son 126 - 135 - 144 - 153 - 162 - 171. Entonces, el tamaño de los intervalos de clase es:
Answer:
la respuesta a la pregunta es -1
Step-by-step explanation:
Name a dance step and name TWO muscles used during the dance step:
will give brainliest !!! please help…
Geometry 6.2
What is m∠N
Check the picture below.
Find the width of a rectangle is the perimeter is 56 cm and the length is 15 cm.
help ?
whats the formula for this
Answer:
13cm
Step-by-step explanation:
P=2l+2w
56=2(15)+2w
56=30+2w
26=2w
w=13
PLEASE HELP!
Find the measure of angle 6
Answer:
The measure of Angle 6 is 57 degrees.
Step-by-step explanation:
Angle 1 is congruent to Angle 5 (6x + 159) via the Corresponding Angles Theorem.
Angle 1 is supplementary to Angle 2 (-7x + 15).
Due to the transitive property, Angle 5 (6x + 159) and Angle 2 (-7x + 15) are supplementary.
Set them to 180.
-x + 174 = 180
Subtract 174 from both sides.
-x = 6
Divide -1 on both sides.
x = -6
Substitute -6 for Angle 5's value.
6(-6) + 159
-36 + 159
Angle 5 is 123 degrees.
Since Angle 6 is next to Angle 5, they are supplementary.
180 - 123 = 57
PRETTTTYYYYYYYYYYY PLS HELP ME RN
Answer:
(5,-3)
Step-by-step explanation:
We can substitute the y in the second equation by the first equation:
2x+3(x-8)=1->
2x+3x-24=1 ->
5x-24=1 ->
5x=25 ->
x=5.
Then solve for y in the first equation:
y=5-8 ->
y=-3.
So the first is correct:
(5, -3)
Hope that helps! :)
Answer:
First option: (5,-3)
Step-by-step explanation:
First turn the second equation to slope intercept form (y=mx+b):
Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.
Now you can graph both, and the solution would be the point that intercepts both of these lines.
(Here it is graphed above for you⤴⤴⤴)
Hope this helps :)
The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of past costs the same amount.
What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?
Answer:
minimum =4 cost= 10.40
Step-by-step explanation:
hope this helps:))
Casey is dividing x3 - 2x2 - 10x + 21 by x2 + x - 7 using a division table. His work is shown here. What is the value of A?
Answer:
-3
Step-by-step explanation:
It is
Answer:
-3 for Casey
5 for Isiah
Step-by-step explanation:
just did it on edg other guys are right
If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 4 volts
New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA
What is a current simple definition?
The speed at which electrons go past a particular location in an electrical circuit is known as current. Current = flow, at its most fundamental level. The international unit for measuring current is an amp (AM-pir), sometimes known as an amp.amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.
=> I ∝ V
=> I = V/R
R is a constant
and R is resistance
When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.
=> 75 x 10⁻³ = 3 /R
=> R = 3 x 10³/75
=> R = 10³/25
=> R = 40
I = V/R
V = 4
R = 40
=> I = 4/40
=> I = 1/10
=> I = 0.1 A
or 100 mA
new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA
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tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. how many feet of the border will will she need?
tricia wants to install a decorative wall paper border around the top of the wall in her master bedroom. the room measures 14ft by 17ft. then perimeter 62 feet of the border will will she need
For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.
The measures of the room is 17 ft by 14 ft.
So, the length of the room (l) = 17 ft
The width of the room(w) = 14 t
As we know that, perimeter of rectangle is 2(l×w).
We will get perimeter of he room = 2l × 2w
= 2(17) × 2(14)
= 62 ft.
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Solve the following first-order DEs: (e2y−ycos(xy))dx+(2xe2y−xcos(xy)+2y)dy=0 (8 pts) x(yy′−3)+y2=0
1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.
2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.
To solve the first-order differential equations, let's solve them one by one:
1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0
We notice that the given equation is not in standard form, so let's rearrange it:
(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0
Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:
P(x, y) = e^2y - ycos(xy)
Q(x, y) = 2xe^2y - xcos(xy) + 2y
To check if this equation is exact, we can compute the partial derivatives:
∂P/∂y = 2e^2y - xcos(xy) - sin(xy)
∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)
Since ∂P/∂y = ∂Q/∂x, the equation is exact.
Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).
Integrating P(x, y) with respect to x, treating y as a constant:
f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)
Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.
Now, differentiate f(x, y) with respect to y to find Q(x, y):
∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)
Comparing the coefficients of Q(x, y), we have:
g'(y) = 2y
Integrating g'(y) with respect to y, we get:
g(y) = y^2 + C
Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.
The general solution to the given differential equation is:
e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.
2. x(yy' - 3) + y^2 = 0
Let's rearrange the equation:
xyy' + y^2 - 3x = 0
To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.
Substituting these values in the equation, we have:
x(du/dx) + u - 3x = 0
Now, let's rearrange the equation:
x du/dx = 3x - u
Dividing both sides by x(3x - u), we get:
du/(3x - u) = dx/x
To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.
Substituting these values, we have:
-dv/v = dx/x
Integrating both sides:
-ln|v| = ln|x| + c₁
Simplifying:
ln|v| = -ln|x| + c₁
ln|x| + ln|v| = c₁
ln
|xv| = c₁
Now, substitute back v = 3x - u:
ln|x(3x - u)| = c₁
Since v = 3x - u and u = y^2, we have:
ln|x(3x - y^2)| = c₁
Taking the exponential of both sides:
x(3x - y^2) = e^(c₁)
x(3x - y^2) = C, where C = e^(c₁) is a positive constant.
This is the general solution to the given differential equation.
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how have income levels for most americans changed in recent years apex?
Answer:
from 2015 to 2018 us household income has increased from 70,200 to 74,600
Step-by-step explanation:
jeff parent is a statistics instructor who participates in triathlons. listed below are times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. does one of the miles appear to have a hill?
Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile.
To test the claim that it takes the same time to ride each of the miles, we need to use a one-way ANOVA test.
Using the provided data, we calculate the mean time for each mile and find that Mile 2 has a significantly higher mean time than the other two miles. Therefore, it appears that Mile 2 has a hill.
Jeff Parent's data shows that there is a significant difference in the mean time it takes to ride each mile. Using a one-way ANOVA test with a 0.05 significance level, we found that Mile 2 has a significantly higher mean time than the other two miles. This indicates that there is a hill on Mile 2, which is causing the increased time.
Therefore, we reject the claim that it takes the same time to ride each of the miles and conclude that there is a hill on Mile 2.
Jeff Parent's data supports the presence of a hill on Mile 2, as there is a significant difference in the mean time it takes to ride each mile. This information can be useful for Jeff to adjust his training and race strategy accordingly.
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Which of the following options have the same value as 10% of 33?
Choose 3 answers:
0.1.0.33
® 10.33
©
1
10
33
0.1.33
10
100
33
3o
Answer:
1
Step-by-step explanation:
x - 2y = 7 and 2x + 5y = -4 sorry more help but i need x and y again
Answer:
x = 3, y = -2
Answer:
x=3 y=-2
Step-by-step explanation:
IM TIMED I WILL GIVE YOU ALL OF MY POINTS
the table shaws the number of games a team won and lost last season. Wins and losses last season number of games wins 24 losses 16 greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends. Which tool is most appropriate for use in a simulation that fits the data?
1 a coin with one side representing a win and the other representing a loss
2 a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss
3 a 5-section spinner with congruent sections, 3 representing a win and 2 4representing a loss an 8-sided die with 5 sides representing a win and 3 sides representing a loss
The table shows the number of games a team won and lost last season with a ratio of win to loss as 3:2. Therefore the tool most appropriate for use is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.
What is ratio?
Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
To calculate a win-to-loss ratio, divide the number of wins by the number of losses.
According to the given data:
Greg is creating a simulation, using previous year’s wins and losses, to foretell the team's conclusion.
Wins in the last season = 24
losses in the last season = 16
Ratio of wins and losses = 24:16 = 3:2
Chances of the team winning out of 5 matches is 3 and losing is 2.
The device which is most suitable for application in a simulation that implements the data is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.
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help pls this is a missing assignment
Always. The answer is always
how do you Express the area of the entire rectangle.
The area of the rectangle is x² + 6x + 8.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
We see from the figure,
Length = x + 4
Width = x + 2
Now,
Area of the rectangle.
= Length x Width
= (x + 4) (x + 2)
= x² + 2x + 4x + 8
= x² + 6x + 8
Thus,
The area of the rectangle is x² + 6x + 8.
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(07.02)
What is the value of x in the equation 3(2x + 8) = 0? (4 points)
−8
8
4
−4
Answer:
your answer is D-4
Step-by-step explanation:
3(2x+8)=0
Step 1: Simplify both sides of the equation.
3(2x+8)=0
(3)(2x)+(3)(8)=0(Distribute)
6x+24=0
Step 2: Subtract 24 from both sides.
6x+24−24=0−24
6x=−24
Step 3: Divide both sides by 6.
6x
6
=
−24
6
x=−4
Hope this helped.
Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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A candy mix bag consists of three different types of candies. The mix
consists of 8 kg of gummy bear priced at $2.50/kg, 4 kg of lollipop priced
at $1.99/kg, and 7 kg of hard candies priced at $3.5/kg.
At what price
should it sell the mix to realize the same revenue earned by selling the
candies separately?
To determine the price at which the candy mix should be sold to realize the same revenue earned by selling the candies separately, we need to consider the total revenue generated from each type of candy.
For gummy bears, the total revenue is calculated by multiplying the quantity (8 kg) by the price per kilogram ($2.50), resulting in $20.
For lollipops, the total revenue is obtained by multiplying the quantity (4 kg) by the price per kilogram ($1.99), giving us $7.96.
Similarly, for hard candies, the total revenue is computed by multiplying the quantity (7 kg) by the price per kilogram ($3.50), resulting in $24.50.
To realize the same revenue from the candy mix, we add up the individual revenues: $20 + $7.96 + $24.50 = $52.46.
Since the total weight of the candy mix is 8 kg + 4 kg + 7 kg = 19 kg, we divide the total revenue ($52.46) by the total weight (19 kg) to find the average price per kilogram: $52.46 / 19 kg ≈ $2.76/kg.
Therefore, the candy mix should be sold at approximately $2.76 per kilogram to achieve the same revenue as selling the candies separately.
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Please help me please
All the values are,
a) lim x → 3 [ 2 f (x) - g (x)] = 18
b) lim x → 3 [ 2 g (x) ]² = 16
c) lim x → 3 [ ∛ f (x) / g (x) ] + lim x → 3 [ 4 h (x) / x + 7 ] = - 1
We have to given that;
Limits are,
lim x → 3 f (x) = 8
lim x → 3 g (x) = - 2
lim x → 3 h (x) = 0
Now, We can simplify all the limits as;
1) lim x → 3 [ 2 f (x) - g (x)]
⇒ lim x → 3 [ 2 f (x)] - lim x → 3 [ g (x) ]
⇒ 2 lim x → 3 [ f (x) ] - (- 2)
⇒ 2 × 8 + 2
⇒ 16 + 2
⇒ 18
2) lim x → 3 [ 2 g (x) ]²
⇒ 4 [ lim x → 3 g (x) ]²
⇒ 4 × (- 2)²
⇒ 4 × 4
⇒ 16
3) lim x → 3 [ ∛ f (x) / g (x) ] + lim x → 3 [ 4 h (x) / x + 7 ]
⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)
⇒ - 2/2 + 0
⇒ - 1
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