A hyperbola has its vertices at (0, 4) and (0, 4), and one focus is at (0-3)
.now find the equation of hyperbola?

Answer:

\(\frac{3}{26}\) of pulling a queen or a black 3.

Step-by-step explanation:

Since there's 52 cards in an average deck and there's 4 queens, divide 52 with 4 and you'll get 13, so that means it's a \(\frac{1}{13}\) chance of getting a queen.

Also because there's 4 "3"s and 50% of those cards are black (clubs and spades), divide 52 with 2 and you'll get a \(\frac{1}{26}\) chance of getting a black 3.

Add both quotients to a common denominator of 52 and you will end up with 6/52. Then simplify the sum.

You should end up with \(\frac{3}{26}\).

Answer: 14and12

Step-by-step explanation:

Answer:

I need an image to help you but heres something that i found to help you :)

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross.

Answer:

Step-by-step explanation:

=3.5*102

=3.5*(10*10)

=350

(2)(4)(103)

=8000

The surface area that can be painted with one complete rotation of the roller is 1508 inches².

Surface area is defined as the total amount of area that covers the surface or outside of a three-dimensional figure.

A paint roller is in the shape of a cylinder. To determine the surface area that can be painted with one complete rotation of the roller, solve for the surface area of a cylinder without the circular bases.

SA = 2πrh

where SA = surface area

r = radius of the base = 8 inches

h = height of the cylinder = width = 30 inches

Plug in the values and solve for the surface area.

SA = 2πrh

SA = 2π(8*30)

SA = 150.7.966 = 1508 inches²

Hence, the surface area that can be painted with one complete rotation of the roller is 1508inches².

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Answer:

2nd option: It does not represent a function because a vertical line will cross the graph at more than one point.

Step-by-step explanation:

Even function needs to be able to pass the vertical line test in order to be considered a function. There shouldn't be multiple y-values paired with a single x-value.

Answer:

-59

Step-by-step explanation:

2 is the first digit right after the decimal point. The digit after it is 3, Both digits would round down, therefore meaning that the whole number would still be -59

The experimental probability the next 4 customers will order a salad is 12.96%

The experimental probability of the next 4 customers ordering a salad can be calculated by multiplying the individual probabilities of each customer ordering a salad.

Given that 60% of customers typically order a salad, the probability of a customer ordering a salad is 0.6, or 60% expressed as a decimal.

To find the probability of all 4 customers ordering a salad, we multiply the probabilities together:

P(4 customers ordering a salad) = 0.6 * 0.6 * 0.6 * 0.6 = 0.6^4 = 0.1296

Therefore, the experimental probability of the next 4 customers ordering a salad is 0.1296, or 12.96% expressed as a percentage.

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Answer:

18

Step-by-step explanation:

if 4 = 6

multiply them both by 3

and you get 12 = 18

By using multiplication and division of integers, it can be calculated that

Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6

What is multiplication and division of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem where multiplication and division of integers is required

The original recipe calls for 50 portions, 6oz each

Required yield of the original recipe = 50 \(\times\) 6 = 300 oz

The new recipe calls for 100 portions at 5oz each

Required yield of the new recipe = 100 \(\times\) 5 = 500 oz

Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6

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Answer:

Step-by-step explanation:

if it's talking about between the numbers 75 to 97, then it's 22.

Answer:

Total is 392

Step-by-step explanation:

$20 - Adult (x)

$13 - Student (y)

20(x) + 13(y) = Total

20(4) + 13(24) =

80 + 312 = 392

Hope this helped love <3

7 is divided by the sum of a number and 8 is written as; (x + 8)/7

Algebraic word problems are questions that require translating sentences to equations, then solving those equations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We want to express the word problem "7 is divided by the sum of a number and 8." as an algebra.

Let the number be x and as such we can represent the algebra as;

(x + 8)/7

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On solving the provided question we can say that the value of the equation will be 20-15=5 B

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Girls 4/(4+3)* 35= 20

Boys: 35-20= 15

Ans 20-15=5 B

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer: The x-coordinates of all local minima are 9/10.

Step-by-step explanation:

To determine the x-coordinates of all local minima, we need to follow the below steps:

Step 1:  Obtain the first derivative of g(x).

Step 2: Obtain the second derivative of g(x).

Step 3: Set the second derivative equal to zero and solve for x.

Step 4: Evaluate the second derivative at the critical points obtained in

Step 5: If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a critical point, then the critical point is a local maximum. If the second derivative is zero, then the test is inconclusive.

Let's start with step 1 and find the first derivative of g(x):g(x) = x^5 - (3/2)x^4

g'(x) = 5x^4 - 6x^3

Next, we get the second derivative of g(x): g''(x) = 20x^3 - 18x^2

To obtain the critical points, we need to set the second derivative equal to zero: 20x^3 - 18x^2 = 0.

Factor out 2x^2:2x^2(10x - 9) = 0

So, either 2x^2 = 0 or 10x - 9 = 0.

Solving for x, we get x = 0 or x = 9/10.

Now, we need to evaluate the second derivative at the critical points: g''(0) = 0

g''(9/10) = 2.16

Since g''(0) is zero, the second derivative test is inconclusive at x = 0. However, g''(9/10) is positive, which means that x = 9/10 is a local minimum.

Therefore, the x-coordinates of all local minima are 9/10.

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Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

The proof is completed, and we have shown that for any odd integer N, ⌈N/24⌉ = N/2 + 3

Here's a step-by-step proof that for any odd integer N:

⌈N/24⌉ = N/2 + 3/4

Proof:

Step 1: Assume N is an odd integer.

Let N be an arbitrary odd integer. This means N can be expressed as N = 2k + 1, where k is an integer.

Step 2: Substitute N with 2k + 1 in the left-hand side (LHS) of the equation.

⌈(2k + 1)/24⌉

Step 3: Simplify the expression inside the ceiling function.

Since 2k + 1 is odd, we can rewrite it as 2k + 1 = 2k + 3/4 - 1/4

Step 4: Apply the properties of the ceiling function.

The ceiling of a sum is equal to the sum of the ceilings of the individual terms.

⌈(2k + 3/4 - 1/4)/24⌉ = ⌈(2k + 3/4)/24⌉ + ⌈(-1/4)/24⌉

Step 5: Simplify the expression inside the first ceiling function.

Since 2k + 3/4 is a positive number, we can write it as ⌈(2k + 3/4)/24⌉ = (2k + 3)/96 + 1 if (2k + 3)/4 is not an integer, or ⌈(2k + 3/4)/24⌉ = (2k + 3)/96 if (2k + 3)/4 is an integer.

Step 6: Simplify the expression inside the second ceiling function.

⌈(-1/4)/24⌉ = ⌈-1/96⌉

Step 7: Apply the ceiling function to the negative fraction.

Since -1/96 is a negative fraction but greater than -1, the ceiling function of -1/96 is -1.

⌈-1/96⌉ = -1

Step 8: Substitute back the simplified expressions into the original equation.

⌈(2k + 3/4)/24⌉ + ⌈(-1/4)/24⌉ = (2k + 3)/96 + 1 + (-1) = (2k + 3)/96

Step 9: Substitute back N with 2k + 1.

(2k + 3)/96 = (2(2k + 1) + 3)/96 = (4k + 2 + 3)/96 = (4k + 5)/96 = k + 1/24

Step 10: Apply the ceiling function to the simplified expression.

The expression k + 1/24 is a positive number, so the ceiling function of k + 1/24 is equal to k + 1.

⌈k + 1/24⌉ = k + 1

Step 11: Substitute back k with (N - 1)/2.

k + 1 = ((N - 1)/2) + 1 = (N - 1)/2 + 2/2 = (N + 1)/2

Step 12: Conclusion.

⌈N/24⌉ = (N + 1)/2

So, the proof is completed, and we have shown that for any odd integer N, ⌈N/24⌉ = N/2 + 3

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The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Answer:

Step-by-step explanation:

A percentage is a way of expressing a part of a whole in terms of 100 parts. For example, 50% means 50 out of 100, or half of the whole. Sometimes, percentages can be more than 100%, which means more than the whole. For example, if you have a hot dog stand and sell 10 hot dogs in the morning and 30 hot dogs in the afternoon, you can say that you sold 300% more hot dogs in the afternoon than in the morning1.

However, in some situations, percentages more than 100% do not make sense. For example, you cannot have more than 100% of your time, money, or energy. In your question, you are given the percentages of singers in a choir who have brown hair and black hair. These percentages are based on the total number of singers in the choir, which is 100. Therefore, it is not possible for 62% of them to have brown hair and 48% of them to have black hair at the same time, because that would add up to more than 100%. The only way this could be possible is if some singers had both brown and black hair, but that is unlikely.

To illustrate this with a picture, you can use a pie chart to show the percentages of singers with different hair colors. A pie chart is a circle divided into slices that represent parts of a whole. The size of each slice is proportional to the percentage it represents. Here is an example of a pie chart for a choir with 50% brown hair and 50% black hair:

As you can see, each slice takes up half of the circle, or 180 degrees. The total angle of a circle is 360 degrees, so the sum of the angles of all the slices must be equal to 360 degrees. This means that the sum of the percentages of all the slices must be equal to 100%. If you try to make a pie chart for a choir with 62% brown hair and 48% black hair, you will end up with something like this:

As you can see, this pie chart does not make sense because the slices overlap and go beyond the circle. The angle of the brown hair slice is 223.2 degrees (62% of 360 degrees) and the angle of the black hair slice is 172.8 degrees (48% of 360 degrees). The sum of these angles is 396 degrees, which is more than 360 degrees. The sum of these percentages is 110%, which is more than 100%.

Therefore, Salvo’s statement that of the 100 singers in a children’s choir in Whitehorse, 62% have brown hair and 48% have black hair is not possible.

Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

The value of (f - g)(x) is x^2 - 6x - 16

The functions are given as:

f(x) = x^2 - 5x - 24

g(x) = x - 8

The value of the composite function (f -g)(x) is calculated using:

(f - g)(x) = f(x) - g(x)

So, we have:

(f - g)(x) = x^2 - 5x - 24 -x + 8

Evaluate the like terms

(f - g)(x) = x^2 - 6x - 16

Hence, the value of (f - g)(x) is x^2 - 6x - 16

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Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

x = −32

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Answer:6,-1

Step-by-step explanation:

Answer:

(-9,5) (21,-7)

\((\frac{-9+21}{2};\frac{5-7}{2})=(\frac{12}{2} ;\frac{-2}{2})=(6,-1)\) this is the midpoint

Passive diffusion and active transport absorption are two of the ways in which the digestive system increases its ability to absorb nutrients.

On the opposite side, the epithelial cells of these structures release the nutrients that were absorbed from the digested meal into the bloodstream. With their numerous folds, the villi and microvilli enhance the surface area of the small intestine and improve nutritional absorption.

Catabolism, or the breakdown of things, is a process that includes two distinct steps: mechanical digestion and chemical digestion.

The small intestinal mucosa's lining is extremely well-trained to maximise nutrition absorption and digestion. Villi, which enhance the surface area to aid in absorption, are minute finger-like projections made from the highly folded lining.

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Answer:

i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9

just blue- $1.50

just orange- $1.50

just black- $3

just green- $3

red=$0

Answer: The equation for a straight line is a linear equation. Since linear usually stands for anything straight or in a line, thus the equation for lines in the XY plane is referred to be a linear equation. For example, 2x+3y = 5 is a linear equation in two variables.

Step-by-step explanation: