Find center,foci and vertices of ellipse for 4x2+y2+2x-10y=6

Answer:

500 rocks

Step-by-step explanation:

25*20 = 500

The area is:

A = (θ/2)*R^2

The circumference is:

C = θ*R

And the area of the circle when the angle is π/4 is: 39.25 cm^2

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

Now, remember that a circle has an angle of 2pi radians, then if we only define an arc in the circle, defined by an angle θ, the area of said arc will be:

A = (θ/2pi)*pi*R^2 = (θ/2)*R^2

And the circumference is:

C = (θ/2pi)*2pi*R = θ*R

Now, we want to find the area when the circle has a radius R = 10cm and θ = pi/4

Replacing that in the area equation, we get:

A = (pi/4/2)*(10cm)^2 = (3.14/8)*(10cm)^2 = 39.25 cm^2

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Answer: 6x[tex]6x{2}+93x-126andx{2}+84[/tex]

Step-by-step explanation: The only thing you do is just to keep multiplying until you get your answer.

Answer:

The answer is 3

Step-by-step explanation:

List all prime factors

15:1,3,5,

27:1,3,

Biggest one is 3

Answer:

the answer is 3

Step-by-step explanation:

cuz the prime factors of 27 is 1,3,and 27

while 15 is 1, 3 ,5 and 15

I hope this helps

The slope of the points on the graph is 4/3

The points on the graph are

(x, y) = (4,3) and (1, -1)

Slope is calculated as:

m = (y2 - y1)/(x2 - x1)

This gives

m = (-1 - 3)/(1 - 4)

Evaluate

m = 4/3

Hence, the slope of the points on the graph is 4/3

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The absolute value inequality is given as |(p - 0.43)I ≤ 0.019

The proportion p = 43% = 0.43

Margin of error = 1.9% = 0.019

The value of the proportion can then be said to lie between

(0.43 - 0.019) ≤ p ≤ (0.43 + 0.019)

In order to convert to the absolute inequality we would be having

-0.019 ≤ (p - 0.43) ≤ 0.019

I (p - 0.43)I ≤ 0.019

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Answer:

y = [tex]\frac{24}{\sqrt{x} }[/tex]

Step-by-step explanation:

given y varies inversely as [tex]\sqrt{x}[/tex] then th equation relating them is

y = [tex]\frac{k}{\sqrt{x} }[/tex] ← k is the constant of variation

to find k use the condition y = 8 when x = 9 , then

8 = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

24 = k

y = [tex]\frac{24}{\sqrt{x} }[/tex] ← equation of variation

Answer:

12.63 weeks ~~ 13 weeks

Step-by-step explanation:

This is much like a banking question with compounded interest

FV = PV ( 1 + i)^n       FV = Future value = 1 m   PV = present value = .3

                                     i = periodic interest = .10     n = periods

1 = .3(1 + .1)^n      solve for n = the number of weeks

1/.3   = 1.1^n

log (1/.3) / log 1.1  = n = 12.63 weeks

Answer :LF is the abbreviation for linear feet Sq ft is the abbreviation for square feet L – lenght (e.g. room length) W – width (e.g. room width)

Liters to Cubic Feet formula. ft³ =. L * 0.035315. Show working Show result in exponential format More information: Cubic Feet.

Step-by-step explanation:

The rate of the slower cyclist is 16 mph while the rate of the faster cyclist is 21 mph.

let us assume the following;

x = rate of slower cyclist

x + 5 = rate of faster cyclist

We know that formula for distance is;

distance = travel time*rate

Thus;

2x + 2(x + 5) = 74

Since the two cyclists are a distance of 74 miles apart after a time 2 hours. Thus;

2x + 2x + 10 = 74

4x + 10 = 74

4x = 74 - 10

4x = 64

x = 64/4

x = 16

Rate of faster cyclist = 16 + 5 = 21 mph

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(a) g(- 4) ≈ - 20.566, g(0) = - 8, g(4) = 4, g(6) = 0, g(8) = - 4

(b) g(x) is increasing in the interval [- 4, 2] and decreasing in the interval [4, 8].

(c) There is an up concavity and a decreasing behavior in the interval [2, 6].

(d) The points x = 2 and x = 6 are points of inflection of g(x).

(e) The equation of the line tangent to g(x) at x = 6 is y = - 4 · x + 24.

(f) The range of g(x) is [- 20.566, 4].

(g) The graph of g(x) is shown in the picture attached below.

In this problem we have a piecewise defined function formed by four functions, a circle-like function and three lines, whose integral has to be analyzed in all its characteristics. (a) The integral is described graphically by the area below the curve, where g(2) = 0 and the following properties of the integral are used:

g(- 4) = g(2) - [F(2) - F(- 4)]

g(- 4) = 0 - 0.25π · 4² - 4 · 2

g(- 4) ≈ - 20.566

g(0) = g(2) - [F(2) - F(0)]

g(0) = 0 - 4 · 2

g(0) = - 8

g(4) = g(2) + [F(4) - F(2)]

g(4) = 0 + 0.5 · (2) · (4)

g(4) = 4

g(6) = g(2) + [F(6) - F(2)]

g(6) = 0 + 0.5 · (2) · (4)  - 0.5 · (2) · (4)

g(6) = 0

g(8) = g(2) + [F(8) - F(2)]

g(8) = 0 + 0.5 · (2) · (4) - (2) · (4)

g(8) = - 4

(b) An interval of g(x) is increasing when f(x) > 0 and decreasing when f(x) < 0. Thus, g(x) is increasing in the interval [- 4, 2] and decreasing in the interval [4, 8].

(c) There is an up concavity and a decreasing behavior in the interval [2, 6].

(d) There are points of inflection for values of x such that f'(x) do not exists. The points x = 2 and x = 6 are points of inflection of g(x).

(e) We need to determine the slope and the intercept of the tangent line to determine the equation of the line:

Slope

m = f(6)

m = - 4

Intercept (x = 6, g(x) = 0)

b = g(x) - m · x

b = 0 - (- 4) · 6

b = 24

The equation of the line tangent to g(x) at x = 6 is y = - 4 · x + 24.

(f) The range of g(x) corresponds to the set of values of y that exists in the function. In accordance with the information given in (a), the range of g(x) is [- 20.566, 4].

(g) The graph of g(x) is shown in the picture attached below.

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The dependent variable in this situation is; the speed at which the car travels.

Speed = Distance / Time

The dependent variable in this situation is; the speed at which the car travels.

The independent variable; The distance the car has traveled.

This is the variable whose value depends on one or more variables in the equation.

Independent variable

This is the variable whose value is not dependent on any other in the equation.

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Answer:20.00

Step-by-step explanation: next time include the table but i managed to find it anyway

Using the combination formula, it is found that six of these five-ball selections contain exactly five red balls.

The order in which the balls are selected is not important(as balls A, B, C, D and E is the same outcome as balls B, A, C, D and E), hence the combination formula is used to solve this question. If the order was important, then the permutation formula would be used.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, five red balls can be chosen from a set of six, hence the number of selections is the combination of 5 elements from a set of 6, that is calculated from the formula given above:

[tex]C_{6,5} = \frac{6!}{1!5!} = 6[/tex]

Hence six of these five-ball selections contain exactly five red balls.

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The solution of the given equation represented in the task content can be determined by first evaluating the LCM and hence is; y= 27.

The given equation is; (y-5)/2=(y+6)/3.

Hence, by multiplying the equation by 6, we have;

3(y-5) = 2(y+6)

3y -15 = 2y +12

y = 27.

Hence, it follows that the value of y which is a solution to the equation is; y = 27.

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The total number of eggs needed for b batches is n = 3b

The total number of eggs needed for 6 batches is 18.

Multiplication is one of the basic mathematical operation that is used to determine the product of two or more numbers. The sign used to denote multiplication is x. Other mathematical operations include addition, subtraction and division.

In order to determine the total number of eggs needed, multiply the number of eggs needed for one batch by the total number of batches.

Total eggs needed = eggs needed for one batch x total number of batches

n = 3 x b

n = 3b

6 x 3 = 18

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The critical value z_α/2 that corresponds to the confidence level 84​% is; 1.41

We want to find the two tail critical values.

This means that at an 84% confidence level, we want to get the probability of not rejecting the null value to be equal to a = 100% - 84% = 16%.

Now, z - scores refers to a numerical measurement that describes a value's relationship to the mean of a group of values and is gotten from normal distribution. Z-score is measured in terms of standard deviations from the mean.

However, under a normal distribution, we want a/2% = 16%/2 = 8% to be located right in the higher tail and lower tail.

From the above, it denotes that the critical value closest to 0.92 will give you the two tail 84% confidence interval. Utilizing a normal distribution table figure online to find the z score gives;

z = 1.41

Thus, we can conclude from this calculation that he critical value z_α/2 that corresponds to the confidence level 84​% is; 1.41

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Answer:

The answer is 4'

Step-by-step explanation:

The answer is 4, 123456789, 6 12, 18, 24, 30, 36, 42, 48.

Answer:

29.5

Step-by-step explanation:

[tex]UV=\frac{27+32}{2} \\ \\ UV=29.5[/tex]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

The relations in a right triangle are given as follows:

Researching this problem on the internet, we have that:

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

[tex]x^2 + 48^2 = 50^2[/tex]

[tex]x^2 = \sqrt{50^2 - 48^2}[/tex]

x = 14 cm.

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1) Given - It is given in the problem

2) Corresponding Angles Postulate - If a transversal (line l) intersects two parallel lines (line h and line g), then the corresponding angles must be equal.

3) Transitive Property of Congruence - Since it's given that [tex]\angle1\cong\angle5[/tex] and we showed in line 2 that [tex]\angle1\cong\angle2[/tex], it should be true that [tex]\angle2\cong\angle5[/tex]

4) Converse of Corresponding Angles Postulate - If a transversal (line g) intersects two lines (lines l and m), and the corresponding angles that form have equal measure, then the lines are parallel.

1) Given - It is given in the problem

2) Definition of Angle Bisector - It's given that [tex]\overline{DC}[/tex] bisects [tex]\angle BDE[/tex], which means that [tex]\overline{DC}[/tex] is the angle bisector, and the angle is divided into two angles of the same measure.

3) Transitive Property of Congruence - Since we showed in line 2 that [tex]\angle1\cong\angle2[/tex] and its given that [tex]\angle2\cong\angle3[/tex], it should be true that [tex]\angle1\cong\angle3[/tex]

4) Converse of the Alternate Interior Angles Theorem - If a transversal ([tex]\overline{BD}[/tex]) intersects two lines ([tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]) and the alternate interior angles formed have the same measure, then the lines are parallel.

Answer:

x = 6

Step-by-step explanation:

Answer:last option -5± √17

2

Step-by-step explanation:

Quadratic equations represent any equation that can be rearranged in standard forma (ax² + bx + c( =0(a, b & c) are known.

Quadratic equations can always be solved using the quadratic formula, but sometimes factoring or isolating the variable is also posible.

In the square equation ax² + bx + c = 0

[tex]\boldsymbol{\sf{x=\dfrac{-b\pm\sqrt{\Delta} }{2a} \ ,\Delta=b^{2}-4ac } }[/tex]

Let's calculate the discriminant of the quadratic equation:

Since the discriminant is greater than zero, then the quadratic equation has two real roots.

[tex]\boldsymbol{\sf{x_{1}=\dfrac{-b-\sqrt{\Delta} }{ 2\cdot a}=\dfrac{-5-\sqrt{17} }{2\cdot1} }}[/tex]

[tex]\boldsymbol{\sf{x_{2}=\dfrac{-b+\sqrt{\Delta} }{ 2\cdot a}=\dfrac{-5+\sqrt{17} }{2\cdot1} }}[/tex]

Solution:

[tex]\boldsymbol{\sf{x=\dfrac{-5\pm\sqrt{17} }{2} }}[/tex]

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Answer:

  x = 0

Step-by-step explanation:

Substituting the given "point" into the equation gives the possibilities for x.

Using (x, y) = (x, 8), the inequality becomes ...

  3x -4 < 8

Solving for x gives ...

  3x < 12 . . . . . . . add 4

  x < 4 . . . . . . . divide by 3

Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...

  x = 0 . . . . . . (0, 8) is a solution to the inequality

The answer is Pedro.

Answer:  d: 1:52pm

Step-by-step explanation:  Since Beatrice finished 22 minutes earlier, we subtract 22 minutes from 2:14. 2:14 - 14 is 2:00. 22-14 is 8. 2:00 - 8 is 1:52.

When a set of given numbers or items is to be arranged in a definite way or pattern, permutation can be used to determine the number of ways in which this can be done. Thus the required answer to the question is 990.

When a set of given numbers or items is to be arranged in a definite way or pattern, permutation can be used to determine the number of ways in which this can be done. The applicable formula is:

[tex]_{n} P_{r}[/tex] = [tex]\frac{n!}{(n - r)!}[/tex]

where: n is the total number of items given, and r is the number of items selected.

Thus the given question can be solved as :

[tex]_{11} P_{3}[/tex] = [tex]\frac{11!}{(11-3)!}[/tex]

       = [tex]\frac{11!}{8!}[/tex]

       = [tex]\frac{11 * 10 * 9 * 8!}{8!}[/tex]

       = 11 x 10 x 9

       = 990

[tex]_{11} P_{3}[/tex] = 990

Therefore, the required answer is 990.

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Answer: 9

Step-by-step explanation: it is what it is

15-6=9 omg i never knew

Answer:

BA

CB

CA

Step-by-step explanation:

this simply means that such a letter combination stands for a line that goes through the points with these letters.

and a "ray" means a straight line (not one that goes around a corner). "from this figure" means lines (or connections between points) that are drawn in this graphic.

BA yes

B is just a point, no line. therefore, no.

DBA guys around a corner (from D to B, and then from there to A). therefore, no.

AD would be a straight line, but it is not drawn in the graphic. therefore, no.

ADB is partly not drawn, and it goes around a corner. therefore, no.

CB, CA are both straight lines in the graphic. yes.