Answer:
2pi
Step-by-step explanation:
r=d/2
4/2=2
A=pi*r^2
pi*2^2=4pi
semicircle is 1/2 of a circle
4pi/2=2pi
The odds in favor of an event are given. Compute the probability of the event. (Enter the probability as a fraction.)
4 to 7
The probability of the event for the given odds in favor (4 to 7) is found as 4/11.
How do you calculate the probability?The inquiry provides the unusual parameters shown below: Odd = 4 to 7First, we must translate the odd into a ratio.Thus, we have the depiction shown below: odds of 4 to 7To continue solving, we must represent the ratio as a fraction.
Thus, we have the depiction shown below.
Odds ratio equals 4/7
We use the following equation to translate the aforementioned odd's expression into a probability expression.
This is displayed as
P = (Odds + 1)/(Odds).
Replace the unknown values in the equation above.
The following equation is what we have.
P = (4/7)/(4/7 + 1)
Analyze the amount
This results
P = (4/7)/(11/7)
Put the quotient in product form.
P = (4/7) * (7/11)
Evaluate
P = 4/11
Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.
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I need help. q – 12 = 1
Answer:
q=13
Step-by-step explanation:
Given q - 12 = 1
we need to find q
to do so we need to isolate the variable using inverse operations
so to get rid of the 12 we add 12 but whatever we do to one side we do to the other
so we add 12 to each side
-12+12 cancels our
1+12=13
we're left with
q=13
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Select all the processes you could use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s.
Answer:
What are the choices?
Step-by-step explanation:
is this a rigid motion
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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Right triangles ABC and DBC
Answer:
The writing is blurry. Please snap again in closer range
Can someone help answer this
Answer:
968 - 744 = 224
Step-by-step explanation:
if Fatima's lettuce broccoli and peas all weigh 968 grams when weighed together and her lettuce and broccoli way 744 grams, as shown in the photo, when weighed together you would subtract the weight of the lettuce and broccoli from the weight of the peas, lettuce, and broccoli together.
you would then get 224 as your answer. your number sentence then should be:
968 - 744 = 224
Step-by-step explanation: 968-744=224 is the answer
Answer subtract 744 and 968 and you will get the answer
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for ____________ to a problem. Evidence An explanation A solution
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.
What is the problem?
A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.
The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.
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Please fill in the blanks on the math problems.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
How many more quarters does
Tommy need before he has $3.00
in quarters?
Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17
Answer:
hi!
First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer
she gives to each of her friends 90:6(friends)=15 beads for each (answer B)
hope i helped!
ig: landonorris
:>
Find the quotient of these complex numbers (6-7i)-(4-5i)=
2 - 2i is the quotient of these complex numbers (6-7i)-(4-5i).
What is Division?A division is a process of splitting a specific amount into equal parts.
To find the quotient of complex numbers, we need to use the formula:
(a + bi) / (c + di) = [(a + bi) x (c - di)] / (c^2 + d^2)
where a, b, c, and d are real numbers and i is the imaginary unit.
In this case, we are subtracting two complex numbers:
(6-7i) - (4-5i)
= 6 - 7i - 4 + 5i (distribute the negative sign)
= 2 - 2i
Hence, 2 - 2i is the quotient of these complex numbers (6-7i)-(4-5i).
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Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.
Answer:
Step-by-step explanation:
The infinite sum of a geometric sequence is given by the formula:
S = a / (1 - r)
where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:
S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12
Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.
If a= 2 and b=4, then 27-02- a + (11 - 5) is equal to
23
11.5
29
25
Answer:
It is equal to 29..........
Answer:
29
Step-by-step explanation:
A cylinder has a height of 12 inches. A similar cylinder has a height of 15 inches. What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
The ratio is 15+\(r_2\) : \(12+r_1\).
What is surface area?
A three-dimensional object's surface area is the space it takes up when viewed from the outside.
Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit
=> A = \(2\pi r(h+r)\) square unit.
Now Height = 12 in , radius = r1 then,
=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1
Now Height = 15 in , radius = r2 then,
=>\(A_2=2\pi r_2(15+r_2)\)-------> 2
Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,
=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)
=>\(15+r_2:12+r_1\)
Hence the ratio is \(15+r_2:12+r_1\).
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Answer:
25:16
Step-by-step explanation:
I took the
(1/2)(-27Divided by 1/3) 2/3
The value of the quotient is - 27
How to determine the quotientTo determine the quotient, first, we have
(1/2)(-27Divided by 1/3) 2/3
\( \frac{1}{2} \times \frac{ - 27 \times 3}{1} \times \frac{2}{3} \)Multiply the numerator and denominator
=
\( \frac{ - 162}{6} \)
Then divide the numerator by the denominator, we get
= - 27
Thus, the value of the quotient is - 27
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Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution.
the longest interval in which the initial value problem is certain to have a unique twice differentiable solution is (-∞, ∞).
Initial value problem:
y'' + 4y' + 4y = 0, y(0)=1, y'(0)=2
The longest interval in which the initial value problem is certain to have a unique twice differentiable solution is the interval (-∞, ∞).
The given initial value problem is a second order linear homogeneous differential equation. This type of equation is known to have a unique twice differentiable solution on the interval (-∞, ∞). Therefore, the longest interval in which the initial value problem is certain to have a unique twice differentiable solution is (-∞, ∞).
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Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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Using Coordinates in Proofs |
IS
What is the most specific name for the figure?
A(a,0)
B(0, b)
Cla, 2b)
D(2a, b)
B
D
А
B. Rectangle
A. Trapezoid
D. Rhombus
C. Square
Please help me!
Answer: D
Step-by-step explanation: You're Welcome
For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answer:
Step-by-step explanation:
(-4,0)
Thandi is 1,23 m tall and Peter is 0,45 m taller than Thandi.What is Peter's height
Peter is 1.68 meters tall.
What is height?
Height is a measure of the distance between the base and the top of an object, or the distance between the bottom and the top of a vertical structure. It is often used to describe the vertical dimension of an object or structure, such as the height of a building, the height of a person, or the height of a mountain. In mathematics, height can also refer to the vertical distance between two points on a coordinate plane or the vertical dimension of a three-dimensional shape. The height of a triangle, for example, is the perpendicular distance from the base to the highest point of the triangle.
Peter's height is Thandi's height plus the additional 0.45 m. Therefore:
Peter's height = Thandi's height + 0.45 m
Peter's height = 1.23 m + 0.45 m
Peter's height = 1.68 m
Therefore, Peter is 1.68 meters tall.
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Which of the following statements about the mapping is not true?
Answer:
C. The mapping represents a relation but not a function
Step-by-step explanation:
✔️The relation is a function because every input value (domain) is mapped to exactly one output value (range). So option A is TRUE.
✔️The range consist of 2 and 1 (output values).
Option B is TRUE
✔️In the domain (input value), we have 3, 6, 7.
Option D is TRUE
Only option C is NOT TRUE.
Lila's Tea Shop has caffeinated tea
and decaffeinated tea. During the
lunchtime rush, the tea shop served
100 teas in all, 41% of which were
caffeinated. How many caffeinated
teas did the tea shop serve?
Answer:
28 caffinated teas
Step-by-step explanation:
Based on this document, Identify one reason many native-born Americans in the late 1880s were in favor restricting immigration.
One reason many native-born Americans in the late 1880s were in favor of restricting immigration was to protect themselves and their children against competition in the labor and business markets.
Anti-immigrant rhetoricMany native-born Americans in the late 1880s were in favor of restricting immigration due to fears of competition in the labor and business markets. At the time, many Americans believed that the influx of immigrants would cause wages to drop, create an abundance of available labor, and ultimately drive down the cost of goods and services. Additionally, native-born Americans feared that foreign workers would be willing to work for lower wages and thus undercut the wages of their American counterparts. This sentiment was further reinforced by the idea that immigrants were open to exploitation and would be more likely to accept lower wages than native-born citizens. As a result, native-born Americans felt that it was necessary to protect their own jobs, wages, and living standards by restricting immigration.The document also states that wages would rise if immigration was restricted, allowing native-born Americans to keep their jobs and earn higher wages. Additionally, the document states that immigrant labor was displacing native-born Americans from their jobs and that immigrants were taking away business from native-born Americans. This fear of competition in the labor and business markets was a major factor in why many native-born Americans in the late 1880s favored restricting immigration.To learn more about anti-immigrant rhetoric refer to:
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Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
IT SUPPOSED THE BE LAKE CLIPSON
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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2
Type the correct answer in the box. Use numerals instead of words.
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in
seconds, when the ball's height is greater than 10 meters.
-4.9t2 + 22t + 0.75 > 10
and
seconds.
The ball's height is greater than 10 meters when t is approximately between blank and blank seconds
Answer:
t is between 0 seconds and 4.878
Step-by-step explanation:
Given:
Inequality: \(-4.9t^2 + 22t + 0.75 > 10\)
Required
Determine the value(s) of t
To answer this question, we simply solve the inequality
\(-4.9t^2 + 22t + 0.75 > 10\)
Subtract 10 from both sides
\(-4.9t^2 + 22t + 0.75 - 10> 10 - 10\)
\(-4.9t^2 + 22t -9.25> 0\)
Multiply through by -1
\(4.9t^2 - 22t + 9.25 < 0\)
Solve the value of t using quadratic formula
\(t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)
Where
a = 4.9; b = -22 and c = -9.25
So:
\(t = \frac{-(-22) \± \sqrt{(-22)^2 - 4 * 4.9 * -9.25}}{2 * 4.9}\)
\(t = \frac{22 \± \sqrt{484 + 181.3}}{9.8}\)
\(t = \frac{22 \± \sqrt{665.3}}{9.8}\)
\(t = \frac{22 \± 25.80}{9.8}\)
Split the expression
\(t = \frac{22 + 25.80}{9.8}\) or \(t = \frac{22 - 25.80}{9.8}\)
\(t = \frac{47.8}{9.8}\) or \(t = \frac{-3.8}{9.8}\)
\(t = 4.878\) or \(t = -0.388\)
Since t cannot be negative; Then
\(t < 4.878\)
Hence; t is between 0 seconds and 4.878
Answer:
c
Step-by-step explanation:
gg