Step-by-step explanation:
I think the answer is 34°
Use the distance formula to find the length of the segment C(2, 1) to
D(5,6). Round your answer to two decimal places.
Answer: 5.83
Step-by-step explanation:
\(\sqrt{(2-5)^2 + (1-6)^2}=\sqrt{34} \approx 5.83\)
Help Enter a recursive rule and an explicit rule for each geometric sequence.
The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1
How to determine the ruleThe recursive rule
From the question, we have the following parameters that can be used in our computation:
The table
The table definitions imply that we simply multiply 2 to the previous term to get the current term
This means that
f(n) = f(n - 1) * 2
Where
f(1) = 9
The explicit rule
The table definitions imply that we simply multiply 2 to the previous term to get the current term
a = 9
r = 2
So we have
f(n) = a * r^n-1
This gives
f(n) = 9(2)^n-1
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i really need help i have till 11:00
The expression that represents the combined inventory of these two stores is given as follows:
A. 7g²/2 - 4g/5 + 15/4.
How to obtain the combined inventory?The combined inventory is obtained adding the inventories for each store, combining the like terms.
The addition of the like terms for g² is given as follows:
1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².
The term with g is given as follows:
-4g/5.
The constant like terms are combined as follows:
7/2 + 1/4 = 14/4 + 1/4 = 15/4.
Hence the simplified expression is given as follows:
7g²/2 - 4g/5 + 15/4.
Meaning that the correct option is given by option A.
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Equivalent fractions are those that simplify to the same fraction.
Provide 3 equivalent fractions for the fraction 9/12.
Answer:
\(\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} \)
David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2*width + 2*length
So
240 = 2w + 2l
120 = w + l
l = 120 - w
(a) Area = w*l
Substituting for l:
A = w(120 - w)
A = 120w - w^2
(b)
Finding the derivative:
A = 120w - w^2
A' = 120 - 2w
For a maximum area A' = 0, so:
120 - 2w = 0
2w = 120
w = 60 yards for maximum area.
(c)
Maximum area
= 120*60 - 60^2
= 3600 yd^2.
i need help finding the orignal price
convert from rectangular to spherical coordinates. (use symbolic notation and fractions where needed. give your answer as a point's coordinates in the form (*,*,*).)(5, π/8, 0) ->
The spherical coordinates of the given rectangular coordinates are (10, 0, 60).
The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).
The equations which are used to convert from rectangular coordinates to spherical coordinates are:
ρ^2=x^2+y^2+z^2
tan〖θ= y/x〗
φ=arccos〖z/√(x^2+y^2+z^2 )〗
The given rectangular coordinates are (5√3, 0, 5). Hence,
ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100
ρ ≈ √100 ≈ 10
tan〖θ= 0/(5√3)=0〗
θ= tan^(-1)0=0
φ=arccos〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos0.5 ≈ 60
Note: The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)
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The sum of two numbers is 3, and their quotient is 2. What are the two numbers?
Answer:
The answer is 2 and 1
Step-by-step explanation:
Sum means to add, so you are looking for two numbers that add up to equal 3.
2+1=3
Quotient means to divide, So secondly you would for two numbers that when divided equals 2
2 divided by 1 =2
hope this helps mark brainliest please :)
In a random sample of 70 undergraduate students from a large university, it was found that 37 had used library books. Find the sample proportion
Answer:
The sample proportion of undergraduate students that used library books is 0.5286.
Step-by-step explanation:
The sample proportion is the number of desired outcomes divided by the size of the sample.
In this question:
Sample of 70 undergraduate students, 37 had used library books.
\(p = \frac{37}{70} = 0.5286\)
The sample proportion of undergraduate students that used library books is 0.5286.
The sum of 3 angles of a heptagon is 340°. The remaining angles are equal in size to each other. Calculate each size of the equal angles.
Answer:
equal angles are 140°
Step-by-step explanation:
A heptagon has 7 sides
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
then for a heptagon
sum = 180° × 5 = 900°
let each of the equal angles be x , so
4x + 340° = 900° ( subtract 340° from both sides )
4x = 560° ( divide both sides by 4 )
x = 140°
each of the equal angles are 140° in size.
Use synthetic division to find the result when 2x^4-8x³ - 27x² + 14x + 24 is divided by x-6
First, write the coefficients of the polynomial in order of decreasing degree and include a placeholder for missing terms:
2 -8 -27 14 24
6
Bring down the leading coefficient:
2 -8 -27 14 24
6
2
Multiply the divisor by the result of the previous step and subtract from the corresponding coefficients:
2 -8 -27 14 24
6
2 -12
48
2 -12 21
-42
2 -12 21 -28
168
2 -12 21 -28 192
The result of the division is 2x³ - 12x² + 21x - 28 with a remainder of 192.
Which function has a constant rate of change equal to -3?
The given function with a constant rate of change that equals -3 is: 2y = -6x + 10.
What is Constant Rate of Change?The constant rate of change of a function = change in y / change in x. Given an equation of a function in slope-intercept form, y = mx + b, the constant rate of change is represented as m.
1. Constant rate of change of the function on the table using two pairs of values, (0, 2) and (1, 5) is:
(5 - 2)/(1 - 0) = 3/1
Constant rate of change = 3.
2. Constant rate of change of the function of the set of ordered pairs using two pairs of values, (4, 4) and (2, 2) is:
(4 - 2)/(4 - 2) = 2/2
Constant rate of change = 1.
3. Constant rate of change of the graphed function using two points on the line, (1, 1) and (0, 3) is:
(3 - 1)/(0 - 1) = 2/-1
Constant rate of change = -2.
4. Constant rate of change of the function 2y = -6x + 10:
Rewrite the equation in slope-intercept form
2y/2 = -6x/2 + 10/2
y = -3x + 5
Constant rate of change = -3.
Therefore, the function with a constant rate of change is: 4. 2y = -6x + 10
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Which of the following appear to be the linear factors of the polynomial function displayed on the graph
The linear factors can be gotten by picking out the roots from the graph.
The roots are those points where the graph intercepts the x-axis.
From the graph, we have the following values:
\(\begin{gathered} x=-1 \\ x=\frac{1}{2} \\ x=3 \end{gathered}\)We can use these roots to get the factors of the polynomial.
Hence, the first factor is
\(\begin{gathered} x=-1 \\ \therefore \\ (x+1)\text{ is a factor} \end{gathered}\)The second factor is
\(\begin{gathered} x=\frac{1}{2} \\ 2x=1 \\ \therefore \\ (2x-1)\text{ is a factor} \end{gathered}\)The third factor is
\(\begin{gathered} x=3 \\ \therefore \\ (x-3)\text{ is a factor} \end{gathered}\)The factors are (x + 1)(2x - 1)(x - 3).
Therefore, OPTION D is correct.
A manufacturer puts tires on two cars (four tires each). Each tire has a 10% probability of being flat. Assume the manufacturer puts four tires on one car first and then another four on the next car second. What's the probability that there is at least one car that has no working tires?
The probability that there is at least one car that has no working tires is given as follows:
0.0002 = 0.02%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For each car, the parameters are given as follows:
p = 0.9, n = 4.
Hence the probability that a car has no working tires is given as follows:
P(X = 0) = (1 - 0.9)^4 = 0.0001.
Hence the probability that two cars have working tires is given as follows:
P(X = 2) = (1 - 0.0001)² = 0.9998.
The probability that at least one has no working tires is given as follows:
P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.
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Lin's family has completed 60% of a trip.They have traveled 30 Miles. How long is the whole trip?
Answer:
40 miles
Step-by-step explanation:
100 - 60 = 40. 40%
60 ÷ 30 = 2. 2 miles = 10%
10 * 4 = 40
How do I solve for this?
Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
What’s the correct answer??? I will mark as brainlest
Help please thank you
Answer:
20
Step-by-step explanation:
Answer:
20 i am telling the truth
Step-by-step explanation:
Find -x + 10 less than 0
ILL MARK AS BRAIN LEIST!
Answer:
B. 1728 cm²
Step-by-step explanation:
You have to find the area of each side:
Top side: 32*20=640
Bottom side: 16*32=512
Triangle sides: 1/2*12*16=96*2=192
Back side: 12*32=384
add all these up and you get 1728
In circle L with m/KLM = 60 and KL = 18 units, find the length of arc KM.
Round to the nearest hundredth.
M
K
In circle L with m/KLM = 60 and KL = 18 units, the length of arc KM is approximately 18.85 units.
What is circle?
A circle is a geometrical shape that is defined as the set of all points in a plane that are equidistant from a given point called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle.
We can use the formula for the length of an arc of a circle:
L = rθ
where L is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc at the center of the circle (in radians).
In this problem, we are given the measure of the central angle m/KLM = 60 degrees, which is equal to 60/360 = 1/6 of a full revolution (360 degrees). Therefore, the angle θ subtended by the arc KM is:
θ = (1/6) * 2π = π/3 radians
To find the length of arc KM, we need to know the radius of circle L. Since we are not given this information directly, we can use the fact that KL is a chord of the circle and the perpendicular bisector of KL passes through the center of the circle. Let O be the center of circle L, and let N be the midpoint of KL. Then ON is the radius of the circle, and KN = KL/2 = 9 units.
We can use the Pythagorean theorem to find ON:
ON² = OM² + MN²
where OM is the distance from O to the midpoint of LM. Since OM is perpendicular to LM, it is also the altitude of triangle KLM, and we can use the formula for the altitude of an equilateral triangle to find that OM = (\(\sqrt{3}\)/2)KL = 9\(\sqrt{3}\) units.
Since MN = KL/2 = 9 units, we have:
ON^2 = \((9*\sqrt{3} )^2 + 9^2\) = 243 + 81 = 324
so ON = 18 units.
Now we can find the length of arc KM using the formula:
L = rθ = 18 * (π/3) = 6π units
Rounding to the nearest hundredth, we get:
L ≈ 18.85 units.
Therefore, the length of arc KM is approximately 18.85 units.
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Which of the following domains provide a real value period?
We are given the following function:
\(T=2\pi\sqrt{\frac{L}{g}}\)We are asked to determine the domain for a real-valued function.
This means we must determine which condition will ensure that the operation will yield a real number.
Since there is a radical this means that the value inside it must be always positive.
Also, inside the radical there is a rational function, therefore, the denominator must be different from zero. Therefore, the domain must be:
\(g>0\)Therefore, the right option is the third option from top to bottom.
Answer: Its C
Step-by-step explanation: got it right on edge
can u pls help me with this question
find the answer really need help
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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A movie theater is splitting
cups 30 of popcorn into 18
bags. How much popcorn
will each bag holde
Answer:
30/18=1 2/3 cups of popcorn in each bag
Hope This Helps!!!
Solve the following for θ, in radians, where 0≤θ<2π.
−sin^2(θ)−2sin(θ)+1=0
Select all that apply:
0.75
2.5
2.71
0.95
0.43
2.04
The radian solutions of the equation are θ = 2.71 and θ = 0.43 radians
Finding all radian solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
-sin² (θ) - 2sin (θ) + 1 = 0
Divide through by -1
So, we have
sin² (θ) + 2sin(θ) - 1 = 0
Let y = sin(θ)
So, we have
y² + 2y - 1 = 0
When solved graphically, we have
y = 0.414 and -2.414
This means that
sin(θ) = 0.414 and sin(θ) = -2.414
Take the arcsin of both sides
θ = 2.71 and θ = 0.43
Hence, the angles are θ = 2.71 and θ = 0.43
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What is x^2-2 in factored parentheses form?
\( {x}^{ 2 - 2} = {x}^{0} = 1\)
ok done. Thank to me :>