What is 100x3+8x1/10

A single fraction will be;

⇒ 1/(y + 12)

And, Domain of this expression is,

⇒ Domain = (-∞, ∞) - { 12 }

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)

Now,

Since, The expression is,

⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)

Simplify the expression as;

⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)

⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)

⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)

⇒ (y - 14 + 12) / (y² - 4)

⇒ (y - 12) / (y- 12) (y + 12)

⇒ 1/(y + 12)

Hence, A single fraction will be;

⇒ 1/(y + 12)

And, Domain of this expression is,

⇒ Domain = (-∞, ∞) - { 12 }

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Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Answer:

If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.

If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.

Step-by-step explanation:

1/2 of 4 = 2

1/2 of 6 = 3

Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.

Jack adopted 1/2 of the spaniel puppies.

That is, 1/2 ×4 =2

Carmen adopted 1/2 of the beagle puppies.

That is, 1/2 ×6 =3

Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

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Answer:

64

Step-by-step explanation:

8x4 is 32 multiplied by 2 is 64

V=LxWxH

(length x Width x Height)

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Using L'hopital we can see that the limit is equal to 1/22

Here we want to take the limit of x tending to zero for x/sin(22x)

Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:

y = x

y' = 1

And for:

y = sin(22x)

y' = 22*cos(22x)

Now taking the limit we will get:

\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)

That is the value of the limit.

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Answer:

y = - \(\frac{3}{2}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 0 ) and (x₂, y₂ ) = (0, 3 )

m = \(\frac{3-0}{0-2}\) = \(\frac{3}{-2}\) = - \(\frac{3}{2}\)

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{2}\) x + 3 ← equation of line

Answer:

the probability would be 1/6

Answer:

Pretty sure the first one is no cuz ive never seen a function curved like that

Step-by-step explanation:

Answer:

#3 should be a function because it passes the VLT, #4 also should be a function because it's equation.

Step-by-step explanation:

.

Required trapizoidal approximation is 174.

What is trapezoidal rule?

The trapezoidal rule is a numerical integration method used to approximate the definite integral of a function over a given interval. It is based on approximating the area under the curve of the function by dividing it into trapezoids and summing up their areas.

To use the trapezoidal rule, you first need to choose an interval [a,b] over which to integrate the function. Then, you divide the interval into a number of subintervals of equal width, typically denoted by h = (b-a)/n, where n is the number of subintervals.

Here,

Using the trapezoidal rule, the approximation of the integral is given by:

\(\int_{-4}^4 f(x),dx \)

\( = \frac{1}{2}[(f(-4)+f(-1))(-1-(-4))+(f(-1)+f(0))(0-(-1)) +(f(0)+f(4))(4-0)] \)

\( = \frac{1}{2}[ (4+18)(-1-(-4)) + (18+36)(0-(-1)) + (36+50)(4-0) ]\)

\(\\ = \frac{1}{2}[22(-3)+54(1)+86(4)] \\ = 174\)

Therefore, the correct answer is 174.

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

5

Step-by-step explanation:

Substituting x=2 into -2x is 2(-2)=-4; as for y=6, 3y=3(6)=18. Substituting into the equation gives -4+18-9=18-13=5

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

Answer:

D

Step-by-step explanation:

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

X=9

Step-by-step explanation:

3.5(7−x)+32=106−1.5(4x+18)

Step 1: Simplify both sides of the equation.

3.5(7−x)+32=106−1.5(4x+18)

(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)

24.5+−3.5x+32=106+−6x+−27

(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)

−3.5x+56.5=−6x+79

−3.5x+56.5=−6x+79

Step 2: Add 6x to both sides.

−3.5x+56.5+6x=−6x+79+6x

2.5x+56.5=79

Step 3: Subtract 56.5 from both sides.

2.5x+56.5−56.5=79−56.5

2.5x=22.5

Step 4: Divide both sides by 2.5.

2.5x

2.5

=

22.5

2.5

x=9

Answer:

i think it maybe be x  = 9, i'm not sure though

Answer:

y = 5x - 10

Step-by-step explanation:

Lines parallel to a given line have the same slope as that line. Substitute the given information into the point-slope form equation.

Point-slope form equation: y - y₁ = m(x - x₁)

y - 10 = 5(x - 4)

y - 10 = 5x - 20

y = 5x - 10

Answer:

120 balls

Step-by-step explanation:

Ten dozen is 120.

The total area of the porch is 329 square feet.

To find the overall area of the porch, we want to calculate the areas of the timber and urban elements one after the other and then add them up. The timber a part of the porch is a right triangle with legs a = 21 ft and b = 28 ft. The region of a triangle is given through the system:

area of triangle = 1/2 × base × height

in this situation, the base and top are the lengths of the legs a and b, respectively. Substituting the values, we get:

area of timber part = 1/2 × 21 ft × 28 feet = 294 ft²

the concrete part of the porch is a square with an aspect length of c = 35 ft. The area of a square is given by using the formula:

area of square = side length²

substituting the value of c, we get:

area of concrete part = 35 ft²

now, we will find the whole area of the porch by using including the regions of the wood and concrete parts:

total area of porch = Area of wooden part + area of concrete element

= 294 ft² + 35 ft²

= 329 ft²

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Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

Step-by-step explanation:

hope it help:)

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The length of the ramp is,

Cos(θ) = Base/Hypotenuse

Cos(30°) = 9ft /The length of the ramp

The length of the ramp = 9ft/Cos(30°)

Length of the ramp = 10.3923 ft ≈ 10ft

Hence, the length of the ramp is equal to 10ft.

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Answer:

câu này là 500 nhen

Answer:

Last answer: \(cot^{2} \alpha - csc^{2} \alpha = -1\)

sorry couldn't find theata so I just used alpha.

Answer:

i believe 90 would be your answer.

Step-by-step explanation:

There are 10 seats and 2 people on each

2 times 10 = 20

the wheel was open for a total of 45 min

since every minute people are being switched out you have to do 2 times 10 4 times witch gives you 80 and the last 5 min you count 2 for each min and then your final answer will be 90.

Answer:4

Step-by-step explanation:

First you need to find how many cups of milk is in one serving. So, you take 2 1/2 and divide it by 5 to get 1/2 then you multiply 1/2 by eight to get 8/2. Simplify to get your answer which is 4.

Answer:

The first one is correct

Step-by-step explanation:

ITs all good

Answer:

23x+250 and that would equal your total cost

Answer:

Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.

Step-by-step explanation: