Answer:
About 7,500
Step-by-step explanation:
The radius of a circle is 8 inches. What is the area?
r=8 in
Give the exact answer in simplest form.
Answer:
201.06in²
plz mark me as brainliest
HELP!!! what is the quadratic formula????
A school talent show is featuring 12 acts.
In how many ways can the first 5 acts be ordered?
By the concept of basic arithmetic solo acts are 5 minutes long and ensemble acts are 15 minutes long
What are basic arithmetic?Mathematics' fundamentals are arithmetic operations. Addition, subtraction, multiplication, and division are the main operations that make up this concept. The phrase "mathematical operations" also refers to these.
The math operation of subtracting two integers reveals the difference between them. The '-' sign is used to indicate it. In math, subtraction is the process of taking one number away from another to determine what is left over after something has been taken away. Rational number operations are equivalent to those performed on whole numbers. The main distinction is that rational numbers take the form p/q, where p and q are integers and q is not equal to 0. It is necessary to take the LCM of the numerators when adding or subtracting two rational integers.
Here we are discussing the four basic rules of arithmetic operations for all real numbers.
Addition (sum; ‘+’)Subtraction (difference; ‘-’)Multiplication (product; ‘×’ )Division (÷)12 × x + 2 × y = 90
6 × x + 2 × y = 60
To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.
B. Here we can multiply second equation with negative 1 and add it to first equation.
6x = 30
x = 5
Now we replace x in any of 2 equations to get y.
30 + 2y = 60
2y = 30
y=15
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¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
a metal cylinder is measured to have a length of 5.0 cm and a diameter of 1.26 cm. compute the volume of the cylinder in cm3. use pi
The volume of the cylinder is 6.18 \(cm^3\).
The volume of a cylinder—which corresponds to how much material can be transported inside of it or immersed in it—determines its density. The volume of a cylinder is calculated using the formula \(r^2h\), where r is the radius of the circular base and h is the height of the cylinder. The material might be any substance that can regularly fill the cylinder with liquid or another substance.
Use the following formula to determine a cylinder's volume:
V = π\(r^2h\)
where r is the radius of the cylinder (diameter / 2), h is the height of the cylinder, and π is approximately equal to 3.14.
First, find the radius:
r =\(\frac{ 1.26}{ 2}\)
r = 0.63 cm
Next, find the volume:
V = π\(r^2h\)
V = π\((0.63)^2(5.0)\)
V= π * 0.3969 * 5.0
V= 3.14 * 0.3969 * 5.0
V = 6.18 \(cm^3\) (rounded to 2 decimal places).
So, the volume of the cylinder is 6.18 \(cm^3\).
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Severe hand or wrist pain due to an inflammation of the tendons in a user's hand and wrist is called ____.
Severe hand or wrist pain due to inflammation of the tendons is commonly referred to as tendinitis.
Tendinitis is a condition characterized by inflammation or irritation of the tendons, which are the fibrous tissues that connect muscles to bones. It commonly occurs in the hand and wrist area, leading to pain, swelling, and discomfort. Tendinitis can be caused by repetitive motions, overuse of the hand or wrist, injury, or certain medical conditions.
The inflammation of the tendons can result in severe pain in the affected hand or wrist, making it difficult to perform everyday activities that involve gripping or moving the hand. The pain may worsen with movement or after prolonged use of the hand. Rest, ice, immobilization, and anti-inflammatory medications are often recommended for managing tendinitis symptoms.
It is important to note that while tendinitis is a common cause of hand and wrist pain, there could be other underlying conditions or injuries that may require further evaluation and medical intervention. Consulting a healthcare professional for an accurate diagnosis and appropriate treatment is recommended for individuals experiencing severe hand or wrist pain.
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A landscaping company charges $110 for 4 hours of lawn care. They charge the same amount of money for every hour.
Which table represents the relationship between hours of lawn care and the amount of money the company charges?
Responses
Hours of lawn care Amount charged (dollars)
8 $220
10 $275
12 $330
14 $385Hours of lawn care Amount charged (dollars) 8 $220 10 $275 12 $330 14 $385 ,
Hours of lawn care Amount charged (dollars)
2 $110
4 $165
6 $220
8 $275
Hours of lawn care Amount charged (dollars) 2 $110 4 $165 6 $220 8 $275
Hours of lawn care Amount charged (dollars)
4 $110
5 $115
6 $121
7 $128
Hours of lawn care Amount charged (dollars) 4 $110 5 $115 6 $121 7 $128
Hours of lawn care Amount charged (dollars)
3 $110
4 $110
5 $110
6 $110
Hours of lawn care Amount charged (dollars) 3 $110 4 $110 5 $110 6 $110
The table representing the relationship between hours of lawn care and the amount of money the company charges is:
8 $220
10 $275
12 $330
14 $385.
Define Equations.Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.
Let x be the charge of lawn care for 1 hour.
Given, charge for 4 hours of lawn care =$110
So, x= Amount charged/ Hours of lawn care
x=110/4
x=27.5
Now, the company charges $27.5 for 1 hour of lawn care.
So now we can find the amount charged by the company for
"y" no. of hours by using the equation. x × y = z
Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount
charged by the company.
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What is the equation of a circle with center (5, -7) and Circumference = 12
(No links)
Answer:
(x-5)2+(y+7)2=4
Step-by-step explanation:
If a + b = 20 and ab = 75, find the value of a + b?
Answer:
a=5 or a=15, b=15 or b=5
Step-by-step explanation:
b=20-a
a(20-a)=75
20a-\(a^{2}\) -75=0
-\(a^{2}\)+20a-75=0
\(a^{2}\)-20a+75=0
(a-5)(a-15)=0
a-5=0 or a-15=0
a=5 or a=15
b=15 or b=5
(:
Answer:
Step-by-step explanation:
a + b = 20
Sum of roots = 20
ab = 75
Product of roots = 75
x² - (a +b) x + ab = 0
x² - 20x + 75 = 0
Sum = coefficient of x = -20
Product = 75
Factors = 15 , 5 {15*5 = 75 & 15 +5 = 20}
x² - 15x - 5x + 75 = 0 {Rewrite the middle term}
x(x - 15) - 5(x - 15) = 0
(x - 15) (x - 5)=0
x - 15 = 0 ; x -5 = 0
x = 15 ; x = 5
a = 15 ; b= 5
0) Translate the sentence into an equation or formula.
The square of the length of the hypotenuse c of a right triangle is equal to the sum of the
squares of the lengths of its legs a and b?
Step-by-step explanation:
c*c=a*a+b*b
its equation is about pythagoras
therom
Please help I have a learning disability and need help with this.
Define a variable and write the phrase as an algebraic expression.
3 more than twice as many ringtones as Mary
Let m = the number of ringtones Mary has
Find the total amount of ringtones if Mary has 5 ringtones.
Answer here ___________
Answer:
Variable: m
3 more than twice as many ringtones as Mary:
3+2m
3+2(5)
3+10
13
Step-by-step explanation:
Answer:
I got you
Step-by-step explanation:
The variable m represents the number of ringtones Mary has. The algebraic expression for this phrase is 2m + 3, where m is the number of ringtones Mary has. If Mary has 5 ringtones, then the total amount of ringtones is 2*5 + 3 = 13.
Hope this helps and let me know if you need me to explain something further!
Find the output (y) of the function y
20x + 38 if the input (2) is -9.
A function assigns the values. The output(y) of the function y=20x + 38 if the input is -9 is -142.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function y=20x+38, therefore, if the input of the function is -9, then the output can be calculated by substituting the value of x as -9. Therefore, we can write the function as,
y = 20x + 38
y = 20(-9) + 38
y = -180 + 38
y = -142
Hence, the output(y) of the function y=20x + 38 if the input is -9 is -142.
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what is the area of a triangle if the legs ar5e x and y long. if the first leg of the triangle is x and the length of the second leg is y, the formula
The area of a triangle is Area = sqrt(s(s-x)(s-y)(s-c)).
The area of a triangle can be found using the Heron's formula if we know the lengths of all three sides, or using the formula (1/2) * x * y if we know the lengths of two legs and the triangle is a right triangle.
In the case where the legs of the triangle are x and y long, if we don't know if the triangle is a right triangle, we can't use the formula (1/2) * x * y. However, we can use Heron's formula to calculate the area. Heron's formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c), where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the three sides.
In this case, since we know the lengths of the two legs x and y, we can find the area of the triangle using Heron's formula as follows:
s = (x + y + c)/2
Area = sqrt(s(s-x)(s-y)(s-c))
Where c is the length of the hypotenuse of the triangle, this information is not provided, so we cannot calculate the area of the triangle.
Therefore, The area of a triangle is Area = sqrt(s(s-x)(s-y)(s-c)).
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How many different bracelets have 4 identical red beads, 4 identical orange beads, and 2 yellow beads, if rotating or flipping a bracelet does not change it
There are 72 different bracelets with 4 identical red beads, 4 identical orange beads, and 2 yellow beads, after flipping a bracelet.
To find the number of different bracelets, we can use the concept of permutations.
First, let's consider the red beads.
Since there are 4 identical red beads, the number of ways to arrange them in a line is 4! (4 factorial).
However, since rotating the bracelet does not change it, we need to divide by 4 to account for the different rotations of the same arrangement.
So, the number of arrangements of the red beads is 4!/4 = 6.
Next, let's consider the orange beads.
Similarly, there are 4!/(4 * 2) = 12 different arrangements of the orange beads.
Again, we divide by 4 to account for the different rotations.
Lastly, we have the yellow beads. Since there are 2 identical yellow beads, there is only 1 arrangement for them.
To find the total number of different bracelets, we multiply the number of arrangements for each type of bead:
6 * 12 * 1 = 72.
Therefore, there are 72 different bracelets with 4 identical red beads, 4 identical orange beads, and 2 yellow beads, if rotating or flipping a bracelet does not change it.
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select the correct statement. a.) the critical z-score for a right-tailed test at a 9% significance level is 1.34. b.) the critical z-score for a two-sided test at a 4% significance level is 1.75. c.) the critical z-score for a two-sided test at a 20% significance level is 0.85. d.) the critical z-score for a left-tailed test at a 12% significance level is -0.45.
If the product function h(x) = f(x) g(x) is continuous at x = 0, is it necessary that both the functions f(x) and g(x) are continuous at x = 0?
Yes, it is necessary that both the functions f(x) and g(x) are continuous at x = 0 in order for the product function h(x) = f(x) g(x) to be continuous at x = 0.
Continuity means that a function is both defined and has no abrupt changes in its value at a certain point. This means that both f(x) and g(x) must be defined and have no abrupt changes at x = 0 in order for the product function to be continuous. If one of the functions is undefined or has a sudden change at x = 0, then h(x) will also have an abrupt change at x = 0, making it discontinuous.
To further explain, when evaluating the product of two functions at x = 0, h(x) = f(x) g(x) = f(0) g(0). For h(x) to be continuous at x = 0, it must be the case that both f(0) and g(0) exist and are defined. Thus, both f(x) and g(x) must be continuous at x = 0.
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Graph the sine function on the interval [0, 2pi] . The lowest point on the graph occurs at (____,-1 ).
The lowest point on the graph occurs at point (3π/2, -1)
What is sine function graph?One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.
The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.
The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation
The attached graph shows sine function graph plotted with the interval [0, 2pi]
The lowest point is observed to occur at (3π/2, -1)
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hyun woo is riding a ferris wheel.
Answer:
cool
Step-by-step explanation:
O m g r e a l l y ?
Never knewww
Someone please help
Answer:
50 pages per hour
Step-by-step explanation:
if you flip a fair coin 10 times, what is the probability of obtaining as many heads as you did or less? 0.0107 0.9453 0.0321 0.7769
To calculate this probability, we need to use the cumulative binomial probability formula:
P(X ≤ k) = Σ(i=0 to k) (n choose i) p^i (1-p)^(n-i)
Where:
- X is the number of heads obtained
- k is the number of heads we want to calculate the probability for (in this case, the same number of heads obtained)
- n is the total number of coin flips (10 in this case)
- p is the probability of getting heads on a single flip (0.5 for a fair coin)
- (n choose i) is the binomial coefficient, which represents the number of ways to choose i heads out of n flips
For this problem, we want to calculate P(X ≤ 10), since we're interested in the probability of obtaining as many heads as we did or less. Plugging in the values, we get:
P(X ≤ 10) = Σ(i=0 to 10) (10 choose i) 0.5^i 0.5^(10-i)
= (10 choose 0) 0.5^0 0.5^10 + (10 choose 1) 0.5^1 0.5^9 + ... + (10 choose 10) 0.5^10 0.5^0
= 0.00098 + 0.00977 + 0.04395 + 0.11719 + 0.20508 + 0.24609 + 0.20508 + 0.11719 + 0.04395 + 0.00977 + 0.00098
= 0.9453
Therefore, the probability of obtaining as many heads as we did or less when flipping a fair coin 10 times is 0.9453.
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Determine which integers in the set S:{−3, 3, 6, 10} make the inequality 2(j − 7) > 2(5 − 3j) true.
S:{−3, 3}
S:{−3, 6}
S:{3, 10}
S:{6, 10}
The integers {6, 10} satisfies the inequality.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given set of integers are {−3, 3, 6, 10}
Inequaltiy is 2(j − 7) > 2(5 − 3j)
Let us simplify the inequality
2j-14>10-6j
2j+6j>10+14
8j>24
j>3
It means that numbers greater than 3 will satisfy the given inequality.
Numbers greater than 3 in the given set are 6,10.
Hence, the integers {6, 10} satisfies the inequality.
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Answer:
6/10 {6, 10}
Step-by-step explanation:
5(x-4) = 3x +4 What is the solution to this equation?
Answer:
x = 12
Step-by-step explanation:
1. Distribute:
5(x-4) = 5x - 20
2. Set equal to each other:
5x - 20 = 3x + 4
3. Simplify both sides:
5x - 20 = 3x + 4
-3x+20 = -3x+20
2x = 24
4. Solve:
2x/2 = 24/2
x = 12
5x+4=3x−4
Move all terms containing x to the left side of the equation.
2x+4=−4
Move all terms not containing x to the right side of the equation.
2x=−8
Divide each term by 2 and simplify.
x=-4
The standard normal curve shown below is a probability density curve for a
continuous random variable. This means that the area underneath the entire
curve is 1. What is the area of the shaded region between the two z-scores
indicated in the diagram? z=-1.2 z=0.85
A.0.8937
B.0.6825
C.0.4263
D.0.6375
E.0.6872
Answer:
E
Step-by-step explanation:
Here, we want to find the area of the shaded portion on the graph.
That would be P(-1.2<z<0.85)
we complete this by checking these values on the standard score table as follows;
P( z< 0.85) - P(z<-1.2) = 0.68727
Please help This is due today help please ASAP
Answer:
6:05 PM
Step-by-step explanation:
Answer:
6:05 P. M.
Step-by-step explanation:
3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.
Find the first three nonzero terms of the Maclaurin series for the function and the values of x for which the series converges absolutely. f(x)=(3cosx)ln(1+x) What are the first three nonzero terms of the Maclaurin series for f(x) ? (
The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).
To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.
First, let's find the derivatives of f(x) up to the third order:
f(x) = (3cos(x))ln(1+x)
f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)
f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²
f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³
Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:
f(0) = (3cos(0))ln(1+0) = 0
f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3
f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3
f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9
Now we can write the first three nonzero terms of the Maclaurin series:
f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...
f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...
Simplifying, we have:
f(x) = 3x - (3/2)x² - (3/2)x³ + ...
To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:
Let aₙ be the nth term of the series.
|r| = lim(n->infinity) |a_(n+1)/aₙ|
= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|
= lim(n->infinity) |(3/2)x|
For the series to converge absolutely, we need |r| < 1:
|(3/2)x| < 1
|x| < 2/3
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Can a child who is 4 feet tall walk under one of the arches without having to bend over?
Answer:
4 feet tall =121.92 cm
Whether they can walk under an arch without having to bend over depends on the height of the arch
but I think most of arches can because child are not that tall
Solve 0=x^2 +6x+13 by completing the square
Answer:
No real solutions
Step-by-step explanation:
0=x^2+6x+13
Step 1: Subtract x^2 from both sides.
0−x^2=x^2+6x+13−x^2
−x^2=6x+13
Step 2: Subtract 6x from both sides.
−x^2−6x=6x+13−6x
−x^2−6x=13
Step 3: Since the coefficient of -x^2 is -1, divide both sides by -1.
−x^2−6x/−1 = 13/−1
x^2+6x=−13
Step 4: The coefficient of 6x is 6. Let b=6.
Then we need to add (b/2)^2=9 to both sides to complete the square.
Add 9 to both sides.
x^2+6x+9=−13+9
x^2+6x+9=−4
Step 5: Factor left side.
(x+3^)2=−4
Step 6: Take square root.
x+3=±√−4
Step 7: Add -3 to both sides.
x+3+−3=−3±√−4
x=−3±√−4
g(x) = x - 2x² ,find g(-3) + 13
Answer:
Replace the variable x with −3 in the expression.
g(−3)=(−3)−2(−3)²
Simplify ((−3)−2(−3)²)+13.
−3−18+13 = -8
Step-by-step explanation:
Please hurry its timed
By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)
How to determine the solutions of a trigonometric equation
In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:
tan x - √(1 - 2 · tan² x) = 0
Second, use algebra and root properties:
tan x = √(1 - 2 · tan² x)
tan² x = 1 - 2 · tan² x
3 · tan² x = 1
Third, clear x by algebra properties and inverse trigonometric properties:
tan² x = 1 / 3
tan x = √(1 / 3)
tan x = 1 / √3
tan x = √3 / 3
x = tan⁻¹ (√3 / 3)
x = 30° or x = 210°
Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:
x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.
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What is Doctor B's prior probability for the hypothesis that you do not have cogscitis? ___
Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.
Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.
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