What are
2 sixths in the lowest term

Answer:

90

Step-by-step explanation:

The missing value is 2.56 to the nearest hundredth.

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

We have a right-angled triangle.

And cos(θ) = Adjacent leg / hypotenuse

cos(65°) = The missing value  / 6

The missing value = cos(65°) x 6

The missing value = 0.4226 x 6

The missing value = 2.56 to the nearest hundredth.

Therefore, the value is 2.56.

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Answer:

B (the one upper right)

Step-by-step explanation:

1. X is at most, something, so x is = or <

2. X is at most 500 more than twice y ---> (2y + 500)

3. X ≤ 2y +500

4. Profits will be over 22500, so 22500 is less (<) than profit

5. Square of profits are 35 times x and 50 times y

6. P^2 = 35x + 50y

7. P = Square-root of (35x + 50y)

8. 22500 < Square-root of (35x + 50y)

Answer is (3) and (8), which is B

The type of indeterminate form obtained by direct substitution in the given limit is 1^∞, where 1^∞ is not a determinate form and its value is not always predictable.

Applying L'Hôpital's Rule to the limit, we get:

lim_(xâ0^+) [cos(Ï/2 - x)]^x = lim_(xâ0^+) e^[x ln(cos(Ï/2 - x))]

Now, applying L'Hôpital's Rule to the exponent, we get:

= lim_(xâ0^+) e^[x (-tan(Ï/2 - x))]

= e^0 = 1

Therefore, the limit is equal to 1.

Using a graphing utility to graph the function, we can see that the limit approaches 1 as x approaches 0 from the right side. Therefore, the result obtained using L'Hôpital's Rule is verified by the graph.

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Answer:

5 years

Step-by-step explanation:

Answer:.

Step-by-step explanation:

Therefore, The Outdoor Furniture Corporation should produce 120 benches and 175 picnic tables to obtain the largest possible profit of $4,015.

Explanation:The given problem can be expressed in the form of a mathematical equation as: Maximize P = 9x + 20ySubject to constraints

:4x + 6y <= 120010x + 35y <= 35004x + 10y <= 12003x + 5y <= 1200x >= 0, y >= 0

Where, x = Number of Benchesy = Number of Picnic TablesFirst, we need to plot all the constraints on a graph. The shaded region in the figure below represents the feasible region for the given problem. Feasible region\(P = 9x + 20y = Z\)The feasible region is bounded by the following points:

A (0, 60)B (120, 175)C (70, 80)D (300, 0)

We need to calculate the profit at each of these points. Profit at

A(0, 60) = 0 + 20(60) = $1200Profit at B(120, 175) = 9(120) + 20(175) = $4,015

Profit at C(70, 80) = 9(70) + 20(80) = $1,630Profit at D(300, 0) = 9(300) + 20(0) = $2,700

From the above calculations, we can see that the maximum profit of $4,015 is obtained at point B (120, 175). Hence, the number of benches and tables that Outdoor Furniture should produce to obtain the largest possible profit are 120 and 175, respectively.

Therefore, The Outdoor Furniture Corporation should produce 120 benches and 175 picnic tables to obtain the largest possible profit of $4,015.

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The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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The approximate distribution (give distribution name and parameters) of the total length will be =  450 minutes

The estimated distribution of the total length of Tina's simulation study is a triangular distribution with a base worth of 2 minutes, a greatest worth of 4 minutes, and a mode (most reasonable worth) of (2+4)/2 = 3 minutes.

Since the simulation time is generally consistently distributed somewhere in the range of 2 and 4 minutes, the total simulation time will be the sum of 150 free random variables each with a triangular distribution.

Hence, the total simulation time will also have a triangular distribution with a base worth of 2 minutes x 150 = 300 minutes, a greatest worth of 4 minutes x 150 = 600 minutes, and a method of (300+600)/2 = 450 minutes.

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The complete question is:

Tina is running a simulation study on her laptop. The duration of each simulation is roughly uniformly distributed between 2 and 4 minutes. She needs to run 150 simulations and she runs all her simulations back-to-back. - What is the approximate distribution (give distribution name and parameters) of the total length of Tina's simulation study? Explain your answer

Answer:

1/3500 or 2.857142857×10^-4

Answer:

1/3,500

Step-by-step explanation:

Answer:

x-7

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiply 72 by .75 and you get 54

Answer: x=33/5

Step-by-step explanation:

5x-28=5

5x=33

x=33/5

Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

The marginal density g(v) of Y can be found by integrating the joint density function f(x,y) over all possible values of X for a fixed value v of Y.

g(v) = ∫f(x,v) dx

The joint density function f(x,y) = 15y for \(x^{2}\) ≤ y ≤ x, and 0 otherwise.

So, for a fixed value v of Y, the range of possible values of X is from \(-\sqrt{v}\) to v.

by simplifying expression,

\(g(v) = 15v - 15v^{\frac{3}{2} }\)

So, the expression for the marginal density of Y is \(g(v) = 15v - 15v^{\frac{3}{2} }\) for v in the range from 0 to 1.

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The amount of feet of border that she needs to purchase is given as follows:

20 feet.

The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:

P = 4s.

All the sides measure 5 feet, hence the parameter s is given as follows:

s = 5.

Then the perimeter of the square plot is given as follows:

P = 4 x 5

P = 20 feet.

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Answer:

4n^2

Step-by-step explanation:

n to the power of 2 (squared), multiplied by 4

\(4n^{2}\)

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Square of \(n=n^{2}\)

Four times the square of \(n^{2}\) is equal to \(4n^{2}\)

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Answer:

The value of X is 10 As the two triangles are similar X= 10

Answer:

see explanation

Step-by-step explanation:

If (2x + 1) is a factor then x = - \(\frac{1}{2}\) is a root and P(- \(\frac{1}{2}\) ) = 0 ← Factor theorem

P(- \(\frac{1}{2}\) )

= 2(- \(\frac{1}{2}\) )³ - 11(- \(\frac{1}{2}\) )² - 4(- \(\frac{1}{2}\) ) + 1

= - \(\frac{1}{4}\) - \(\frac{11}{4}\) + 2 + 1

= - \(\frac{12}{4}\) + 3

= - 3 + 3

= 0

Since P(- \(\frac{1}{2}\) ) = 0 then g(x) is a factor of P(x)

Answer:

(2x ^2  −x+3)(x+1)

Step-by-step explanation:

All you needed to do was factor out the problem.

Answer:

14/24 or 58%

Step-by-step explanation:

Answer:

\(x^{2} -4x+4=2x+1+x^{2}\)

Cancel out the \(x^{2}\) on both sides.

\(-4x+4=2x+1\)

\(-4x-2x=1-4\)

\(-6x=-3\)

Now, you divide both sides by -6!

\(x=0.5\)

There you go! Hope that helped! :)

Plz Give Brainliest! TYYYYY!!

Answer:

see below

Step-by-step explanation:

Area of a trapezoid:

((base 1 + base 2) x h) / 2

First one:

(7 + 13) x 6 / 2

= 60 cm^2

Second one:

(45 + 55) x 22 / 2

= 1100 mm^2

The value of x will be given as    \(X=\dfrac{-5}{4}\)

Here it is given that

The equation of the parabola is

\(y^2=5x\)

We know that the general form of the parabola is

\((y-k)^2=4p(x-h)\)

Also  \(x=h-p\)

here we have

\(y^2=5x\)

\((y-0)^2=5(x-0)\)

\((y-0)^2=\dfrac{4}{4} \times 5(x-0)\)

\((y-0)^2=4\times \dfrac{5}{4} (x-0)\)

Now comparing it with  \((y-k)^2=4p(x-h)\)

\(p=\dfrac{5}{4}\)

\(k=0\\h=0\)

Now

\(x=h-p\)

\(x=0-\dfrac{5}{4}\)

\(x=-\dfrac{5}{4}\)

Thus the value of x will be given as    \(X=\dfrac{-5}{4}\)

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Answer:

(0,0) (3,2) and (-2,-2) (4,2)

Step-by-step explanation:

To find the slope, you do \(\frac{y_{1}-y_{2} }{x_{1}-x_{2}}\), which would work for both.

2-0/3-0=2/3

2-(-2)/4-(-2)=2+2/4+6=2/3

The number selected is the square of a natural number is 1/5.

What is probability and example?

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by -

P = Square number /total numbers

P = 4/20 = 1/5

Therefore,  the number selected is the square of a natural number is 1/5.

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So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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The following ratio can be completed as;

3 17

6 34

9 51

12 68

15 85

Let

The unknown number = x

3 : 17 = 6 : x

3/17 = 6/x

cross product

3 × x = 6 × 17

3x = 102

divide both sides by 3

x = 102/3

x = 34

So,

3 : 17 = 6 : 34

6 : 34 = 9 : x

6/34 = 9/x

cross product

6 × x = 9 × 34

6x = 306

divide both sides by 6

x = 306/6

x = 51

Therefore, ratio is the comparison between two or more numbers.

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Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

                     = 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

The equations that are in standard forms are;

2x + 3y = -6

-4x + 3y = 12

Options B and C

An equation is simply defined in standard forms as;

Ax + By = C

Such that the parameters are expressed as;

A, B, and C are all constants and x and y are factors.

The condition is set out so that the constant term is on one side and the variable terms (x and y) are on the cleared out.

The coefficients A, B, and C are integers

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Answer:

y

Step-by-step explanation:

bc I told u to ..............

1. The average speed of a car traveling at 50 km/h for 30 minutes, and then at 71 km/h for one hour is 64km/hr.

2. If a racing car has to maintain an average speed of 180 km/h for four laps of a racetrack so that the driver can qualify for a race and the average speed of the first lap is 150 km/h and that of the second lap, 170 km/h, then the average speed of the last two laps is 20km/hr to ensure that the driver qualifies.

1. To calculate the average speed of the car, follow these steps:

Therefore, the average speed of the car is 64 km/h.

2. To calculate the average speed of the last two laps to ensure that the driver qualifies, follow these steps:

Therefore, the average speed for the last two laps must be 20 km/h to ensure the driver qualifies.

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