Find 3 consecutive odd integers with a sum of 75.
Answer:
23 + 25 + 27
Step-by-step explanation:
75/3 = 25
23 + 25 + 27 are all odd numbers and the sum is 75.
what is the place value of the 5 in 836.15?
Answer:
The place value of 5 is HUNDREDTH
Explanation:
From the right-hand side, the place value of:
8 is Hundred
2 is Ten
6 is Unit
1 is Tenth
and finally, what we are required to tell,
5 is Hundredth.
Solve system of equations.
-3 x-y=4
4 x+2 y=-8
The solution of the given system of equations is (0, -4)
We will use the substitution method.
Given the system of equations:
-3x - y = 4 ............ (1)
4x + 2y = -8 ..........(2)
Add 3x to both sides of (1):
-3x - y +3x = 4 + 3x
-y = 4+3x
Multiply by (-1)
y = -(4+3x)
Substitute y = -(4+3x) into equation (2)
4x + 2y = -8
4x + 2. (-(4+3x)) = -8
4x - 8 - 6x = -8
-2x -8 = -8 (Add 8 to both sides)
-2x -8 + 8 = -8 + 8
-2x = 0
x = 0
Substitute x = 0 into:
y = -(4+3x)
y = -(4+3 . 0) = -4
The solution is (0, -4)
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The Singapore Flyer is a giant observation
wheel with a seating capacity of 784
passengers. The number of passengers that
each capsule can carry is equal to the total
number of capsules on the Singapore Flyer.
Find the total number of
capsules on the Singapore Flyer.
Answer:
28
Step-by-step explanation:
Let x be the number of capsules on the Singapore Flyer.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
The total number of capsules on the Singapore Flyer is 28.
To find total number of capsules on the Singapore Flyer.
What is volume?Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.
Given that:
Let x be the number of capsules on the Singapore Flyer.
Total capacity : 784 passengers.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
So, the total number of capsules on the Singapore Flyer is 28.
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complete the square to rewrite the following equation. identify the center and radius of the circle. you must show all work and calculations to receive credit. x2 − 4x y2 8y
The equation \(x^2 - 4x + y^2 + 8y\) can be rewritten as \((x - 2)^2 + (y + 4)^2 = 20\), and the center of the circle is \((2, -4)\) with a radius of \(2sqrt(5).\)
To complete the square and rewrite the equation, let's focus on the terms involving x and y separately.
For \(x^2 - 4x\), we can complete the square by taking half of the coefficient of x, which is -4, and squaring it: \((-4/2)^2 = 4\). Add this value to both sides of the equation:
\(x^2 - 4x + 4 = 4\)
For y^2 + 8y, we can complete the square by taking half of the coefficient of y, which is 8, and squaring it: (8/2)^2 = 16. Add this value to both sides of the equation:
\(y^2 + 8y + 16 = 16\)
Now, let's rewrite the equation using these completed squares:
\((x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16\)
Simplifying the equation:
\((x - 2)^2 + (y + 4)^2 = 20\)
Now we can identify the center and radius of the circle. The equation is in the form\((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle, and r represents the radius.
From our equation, we can see that the center of the circle is (2, -4) and the radius is \(sqrt(20)\), which simplifies to \(2sqrt(5)\).
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The equation \(\[ x^2 - 4x + y^2 + 8y \]\) can be rewritten as \(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\). The center of the circle is (2, -4), and the radius is \(\[ \sqrt{20} \]\).
To rewrite the given equation using the method of completing the square, we need to rearrange the terms and add a constant value on both sides of the equation. Let's start with the given equation:
\(\[ x^2 - 4x + y^2 + 8y \]\)
To complete the square for the x terms, we take half of the coefficient of x (-4) and square it. Half of -4 is -2, and (-2)² is 4. We add this value inside the parentheses to both sides of the equation:
\(\[ x^2 - 4x + 4 + y^2 + 8y \]\)
For the y terms, we follow the same process. Half of the coefficient of y (8) is 4, and (4)² is 16. We add this value inside the parentheses to both sides of the equation:
\(\[ x^2 - 4x + 4 + y^2 + 8y + 16 \]\)
Now, we can rewrite the equation as:
\(\[ (x^2 - 4x + 4) + (y^2 + 8y + 16) = 4 + 16 \]\)
The first parentheses can be factored as a perfect square: (x - 2)².
Similarly, the second parentheses can be factored as a perfect square: (y + 4)². Simplifying the right side gives us:
\(\[ (x - 2)^2 + (y + 4)^2 = 20 \]\)
Comparing this equation to the standard form of a circle, \(\[ (x - h)^2 + (y - k)^2 = r^2 \]\), we can identify the center and radius of the circle. The center is given by (h, k), so the center of this circle is (2, -4).
The radius, r, is the square root of the number on the right side of the equation, so the radius of this circle is \(\[ \sqrt{20} \]\).
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One of the nuclides in spent nuclear fuel is u-235, an alpha emitter with a half-life of 703 million years. How long will it take for the amount of u-235 to reach 5% of its initial amount? answer in units of 10^9 years (i. E. , 1. 1 * 10^9 -> 1. 1), to 1 decimal place.
It will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.
Explain the term radioactive decay?Ionizing radiation is released as a result of radioactive decay. Ionizing radiation offers a health concern by destroying tissue and the DNA in genes because it can damage the atom in living things. Alpha particles may be present in the ionizing radiation which is released.In the radioactive nuclides, the time for decay is;
t = -2.303 /k log (A/A₀)
In which, k is the decay constant .
k = 0.693/ t₁/₂ for- ₁/₂ is the half-life.
k = 0693/ 703 x 10⁶ yrs = 9.85 x 10⁻¹⁰ /yr
A = amount left after time t
A₀ = Original amount present
Thus,
t = -2.303 / 9.85 x 10⁻¹⁰ /yr x log (0.95)
t = 119 x 10⁶ yr
Thus, it will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.
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cuanto mide diametro si el radio es de 11 pulgadas? ;-;
Answer:
14 pulgadas
Step-by-step explanation:
a 7 pulgadas, entonces el diámetro es 2(7) = 14 pulgadas.
Use the information and figure to answer the following question.
The figure shows two perpendicular lines s and r, intersecting at point P in the interior of a trapezoid. Liner is parallel to the bases and
bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Which transformation will ALWAYS carry the figure onto itself?
O A a reflection across liner
OB. A reflection across lines
OC a rotation of 90° clockwise about point p
OD. A rotation of 180° clockwise about point P
The transformation that ALWAYS carries the figure onto itself is a rotation of 90° clockwise about point P .The correct option is (Option C).
In the given figure, we have two perpendicular lines s and r intersecting at point P in the interior of a trapezoid. We also have a line "liner" that is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Let's examine the given options:
A. A reflection across liner: This transformation does not always carry the figure onto itself. It would result in a reflection of the trapezoid across liner, which would change the orientation of the trapezoid.
B. A reflection across lines: This transformation does not always carry the figure onto itself. It would result in a reflection of the trapezoid across lines, which would also change the orientation of the trapezoid.
C. A rotation of 90° clockwise about point P: This transformation ALWAYS carries the figure onto itself. A 90° clockwise rotation about point P will preserve the perpendicularity of lines s and r, the parallelism of "liner" to the bases, and the bisection properties. The resulting figure will be congruent to the original trapezoid.
D. A rotation of 180° clockwise about point P: This transformation does not always carry the figure onto itself. A 180° rotation about point P would change the orientation of the trapezoid, resulting in a different figure.
Therefore, the transformation that ALWAYS carries the figure onto itself is a rotation of 90° clockwise about point P The correct option is (Option C).
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How do you find (1+i)^4?
Using the square formula, the value of (1+i)^4 is -4.
The square formula is the algebraic identity which is used to find the square or difference of the sum of two terms. The square of sum of the two terms and can be calculated by multiplying the binomial by itself. The general form of square formula to find the square of the sum of two terms is given by: (a + b)^2 = a^2 + 2ab + b^2 where a and b are variables.
The given expression can be rewritten as binomial with exponent:
((1 + i)^2)^2
Using the square formula to find the square of the sum of two terms to the (1 + i)^2. Hence,
(1 + i)^2 = 1 + 2i + i^2
As 'i' iota is the square root of negative 1, i^2 = -1
1 + 2i -1 = 2i
Therefore,
(2i)^2 = 4i^2 = 4*-1 = -4
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Two side lengths of a triangle are 17 meters and 12 meters long. What is the range of possible lengths for the third side?A)5 < s < 29 B)5 < s < 17 C)12 < s < 17 D)12 < s < 29
We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y
The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.
Given:
X ~ Exponential(λ), with mean 1 (λ = 1)
Y ~ Uniform(0, X), for 0 < y < x
To find the joint PDF, we first need to express the PDFs of X and Y.
PDF of X:
fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)
PDF of Y:
fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])
Now, we can find the joint PDF by multiplying these individual PDFs:
fx.x (x, y) = fX(x) * fY(y|x)
Substituting the PDFs:
fx.x (x, y) = (λ * exp(-λx)) * (1 / x)
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x
Therefore, the fully specified joint PDF of X and Y is:
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
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Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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what's the volume of a figure with that is 10 inches wide, 3 inches tall, and 5 inches long
Answer:
10 x 3 x 5 = a
what is the square root of 119
Answer:
10.909
Step-by-step explanation:
The square root of 119 is 10.909. Therefore, 15 √119 = 15 × 10.909 = 163.631.
-hope it helps
I WILL GIVE BRAINLIST
The reflexive, symmetric, and transitive properties of equality only apply to algebraic concepts, not to segment and angle relationships. true or false
what is the answer for6x+15=3(x+3)
Answer:
\(x = ( - 2)\)
Step-by-step explanation:
\(6x + 15 = 3(x + 3) \\ 6x + 15 = 3x + 9 \\ 6x - 3x = - 15 + 9 \\ 3x = - 6 \\ \frac{3x}{3} = \frac{ - 6}{3} \\ x = - 2\)
What is 37.3% to a fraction in simplest form
Answer:
373/1000
Step-by-step explanation:
hope this helps
Answer:
The answer in a fraction in simplest form is 373/1000
Step-by-step explanation:
Hope this helps and have a happy valentines day
Mak brainliest please :)
Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
<95141404393>
RS: R(2, -1) and S(6,-5)
Translation: along (3, 4)
Reflection: in x = 2
Answer:
69r 420s
Step-by-step explanation:
you gotta do that and do this to that and after that you get that
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answer:
Step-by-step explanation:
17
\(3 {}^{2} + ( - 4 {}^{2} ) + 5 {}^{2} \)I'm confused on that can you help me please?
We have to replace the values in the equation
\(x^2+y^2+z^2=(3)^2+(-4)^2+(5)^2=9+16+25=50\)Since the square of a negative number is a positive number, (-4)^2 = +16
find the angle between the vectors. (first find an exact expression and then approximate to the nearest degree.) a = i 2j − 2k, b = 4i − 3k
The angle between the vectors a and b is approximately 48 degrees.
To find the angle between two vectors a and b, we can use the formula:
cos θ = (a · b) / (|a| |b|)
where a · b is the dot product of a and b, and |a| and |b| are the magnitudes of a and b, respectively.
First, let's find the dot product of a and b:
a · b = (i)(4) + (2j)(0) + (-2k)(-3) = 4 + 6 = 10
Next, let's find the magnitudes of a and b:
|a| = √(1^2 + 2^2 + (-2)^2) = √9 = 3
|b| = √(4^2 + 0^2 + (-3)^2) = √25 = 5
Substituting these values into the formula for cos θ, we get:
cos θ = 10 / (3 * 5) = 2/3
To find the angle θ, we can take the inverse cosine (cos^-1) of 2/3:
θ = cos^-1(2/3) = 48.19 degrees
Therefore, the angle between the vectors a and b is approximately 48 degrees.
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Suppose p(a) = 0. 40 and p(b | a) = 0. 30. What is the joint probability of a and b? (round your answer to 2 decimal places. ).
The joint probability of a and b upto 2 decimal places is 0.12
The conditional probability P(B/A) arises only in the case of dependent events. It gives the conditional probability of B given that A has occurred.
p(a) = 0. 40 and p(b | a) = 0. 30.
P(B/A) = P(A∩B) / P(A)
0.30 = P(A∩B) / 0.40
P(A∩B) = 0.30 x 0.40
P(A∩B) = 0.12
Therefore, the joint probability of a and b upto 2 decimal places is 0.12
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Rewrite in simplest terms: -4(10b - 10c) + 9c - 10(-4c + 3b)
determine if the two triangles are congruent. if they are, state how you know.
Answer:
yes they are because they have matching sides
Barbara, Mark and Carlos are participating in a race. Barbara thought she could win with a 3 meter head start even though she only pedaled 3 meters every 2 seconds. Mark began at the starting line and finished the 20 meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (y)
from the starting line in meters could be represented by the equation y = 5/2x+1. where x represents time in
seconds.
What is the dependent variable? What is the independent variable?
Pls help!
Take the derivatives of the following functions. Do not simplify. a. f(x)=10x
4
f(x)= b. f(x)=20x+30x
3
f(x)= c. f(x)=(10+2x
2
)(5x−x
2
)f(x)=
d. f(x)=
20xx
2
f(x)=
a. f'(x) = 40x³
To find the derivative of f(x) = 10x⁴, we apply the power rule.
The power rule states that if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹. Applying this rule, we get f'(x) = 4 * 10x³ = 40x³.
b. : f'(x) = 20 + 90x²
To find the derivative of f(x) = 20x + 30x³, we differentiate each term separately. The derivative of 20x is 20, and the derivative of 30x³ is 90x² (applying the power rule). Adding these derivatives, we get f'(x) = 20 + 90x².
r: f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5)
To find the derivative of f(x) = (10 + 2x²)(5x - x²), we apply the product rule. The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x). Differentiating each term, we get f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5).
d.: f'(x) = 40x
To find the derivative of f(x) = 20x / (x²), we use the quotient rule. The quotient rule states that if f(x) = g(x) / h(x), then f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x)²). In this case, g(x) = 20x and h(x) = x². After differentiating and simplifying, we obtain f'(x) = 40x.
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b The value of 3 in 38.65 is 3 tens.true or false
yes that is true
hope that helped
There are five green apples and nine red apples in a basket  what is the ratio of green apples to all apples in the basket ??? what is the ratio of red apples to all apples in the basket ??
The ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
According to the question,
We have the following information:
There are five green apples and nine red apples in a basket.
Now, total apples in the basket are (5+9) which is 14.
Now, the ratio of green apples to all apples in the basket:
Number of green apples : total apples in the basket
5:14
Now, the ratio of red apples to all apples in the basket:
Number of red apples : total apples in the basket
9:14
Hence, the ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
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Which expression is equivalent to 1/2a + c - (3/2a - 3/4b) + 1/3c?
A. 2a - 3/4b + 1/3c
B. 2a - 3/4b + 4/3c
C. -a + 3/4b + 4/3c
D. -a - 3/4b + 4/3c
Answer:
C. -a+3/4b+4/3c
Step-by-step explanation:
It's right!