Write the equation of an ellipse in standard form, and identify the end points of the major and minor axes as well as the foci. #23

Answer:

1

Step-by-step explanation:

Should be -3 if i am correct.

Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

Answer:

20b - 16

=> 4 (5b - 4)

or

20b - 16

=> 20b/16 - 16/16

=> 1.25b - 1

Answer:

4(5b-4)

Step-by-step explanation:

To factor this you need to find a number, that 20 and 16 are divisible by. You can divide 4 from both of these.

It becomes 4(5b-4)

Answer:

Step-by-step explanation:

1.

James goes to an arcade.

He has one go on the Teddy Grabber.

He has one go on the Penny Drop.

The probability that he wins on the Teddy Grabber is 0.2.

The probability that he wins on the Penny Drop is 0.3.

(a) Complete the tree diagram.

Teddy Grabber

Penny Drop

Win

0.3

Win

0.2

Lose

Win

Lose

Lose

(2)

Step-by-step explanation:

Standard form of circle with center (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2    

for this circle, this becomes

(x-8)^2 + (y+1)^2 = 310^2

Answer:

A, x = 1

Step-by-step explanation:

3x = 3 simplified is x = 1

Answer:

1) -8

-1

-5

4

5

2) -30

48

-36

36

-6

3) 6

9

14

0

10

4) 2

8

11/2

9/2

17/2

5) 21/4

9/2

45/8

31/8

43/8

6) -4

8

-13

17

-22

7) -5

-14

-13

-2

-1

8) 6

-43

-8

-64

41

9) -17/5

-3/5

-1

-8/5

-14/5

10) -9

63

45

-63

0

11) 5

30

45

35

-25

12) -41

36

-69

43

-34

Step-by-step explanation:

Answer:

x = –1

Step-by-step explanation:

From the question given above, the following data were obtained:

y = √(–2x + 7)

y = 3

x =?

The value of x can be obtained as follow:

y = √(–2x + 7)

3 = √(–2x + 7)

Take the square of both side

3² = –2x + 7

9 = –2x + 7

Collect like terms

9 – 7 = –2x

2 = –2x

Divide both side by –2

x = 2 / –2

x = –1

Answer:

2250 square feet

Step-by-step explanation:

Answer:

Formula of square=l^2

Step-by-step explanation:

2*3^2*5^3

2*9*125

2250

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Step-by-step explanation:

Write an example from daily life that uses rational numbers .

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The missing length of given right triangle is equal to 1500.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean  Theorem.

The Pythagorean Theorem says: \(hypotenuse^2=(leg_1)^2+(leg_2)^2\) . And the main trigonometric ratios are: sin (x),  cos (x) and tan (x) , where:

\(sin(x)=\frac{opposite\ side}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ side}{hypotenuse} \\ \\ tan (x)= \frac{opposite\ side}{adjacent\ side}\)

There is another important property, where h²=m*n. See the attached image.

From the previous informations presented, you can solve the given question.

Thus, if h²=m*n. You can write:

h²=900*1600

\(h=\sqrt{1440000}\\ \\ h=1200\)

If h=1200, you can find x from Pythagorean  Theorem.

x²=1200²+900²

x²=1440000+810000

x²=2250000

x=\(\sqrt{2250000}\)

x=1500

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Answer:

Happy Thanksgiving, my friends.

Step-by-step explanation:

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

9514 1404 393

Answer:

Step-by-step explanation:

You are given enough information to be able to fill in the values in the compound interest formula:

  A = P(1 +r/n)^(nt)

where P is the principal invested (2500), r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years (5).

__

For the first investment, r = .04 and n = 4. ("Quarterly" means interest is compounded 4 times per year.) The account balance after 5 years is then ...

  A = 2500·(1 +.04/4)^(4·5) = 2500·1.01^20 ≈ 3050.48

__

For the second investment, r = .0375 and n = 1. ("Annually" means interest is compounded 1 time per year.) The account balance after 5 years is then ...

  A = 2500·(1 +.0375/1)^(1·5) = 2500·1.0375^5 ≈ 3005.25

__

After 5 years, the first investment is worth $3050.48; the second investment is worth $3005.25. Together, their value is $6055.73.

The matrix A is invertible if the value of a is not equal to -5.

To determine if the given matrix A is invertible, we need to find its determinant.

The matrix A is

| 5 11 |

| a -11 |

To calculate the determinant, we use the formula for a 2x2 matrix

det(A) = (5 * -11) - (11 * a)

det(A) = -55 - 11a

For the matrix A to be invertible, the determinant (det(A)) must not equal zero.

Therefore, for A to be invertible

-55 - 11a ≠ 0

Simplifying

-11a ≠ 55

Dividing both sides by -11 (since -11 ≠ 0), we get

a ≠ -5

So, the matrix A is invertible if the value of a is not equal to -5.

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Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

The volume of pyramid A is ____ the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is ______the volume of pyramid A.

Since, volume of pyramid = \(\frac{1}{3}(\text{Area of the base})(\text{Height})\)

Volume of the pyramid A = \(\frac{1}{3}(\text{length}\times \text{Width})(\text{height})\)

                                          = \(\frac{1}{3}(10\times 20)(h)\)

                                          = \(\frac{200h}{3}\)

Volume of pyramid B = \(\frac{1}{3}(10)^2(h)\)

                                    = \(\frac{100h}{3}\)

Ratio of the volumes of the pyramids = \(\frac{\text{Volume of pyramid A}}{\text{Volume of pyramid B}}\)

                                                              = \(\frac{\frac{200h}{3}}{\frac{100h}{3} }\)

                                                              = 2

Therefore, volume of pyramid A is TWICE the volume of pyramid B.

If If height of the pyramid B increases twice of pyramid A,

Then the volume of pyramid B = \(\frac{1}{3}(100)(2h)\)

                                                   = \(\frac{200h}{3}\)

Ratio of volumes of pyramid B and pyramid A = \(\frac{\text{Volume of pyramid B}}{\text{Volume of pyramid A}}\)

                                                                            = \(\frac{\frac{200h}{3}}{\frac{200h}{3}}\)

                                                                            = 1

Therefore, new volume of pyramid B is EQUAL to the volume of pyramid A.  

The equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.

The general form for the equation of a parabola is y = ax^2 + bx + c. To find the equation of the parabola that defines the edge of the ski, we can substitute the given points into this equation.

Using the first point (-4,1):
1 = a(-4)^2 + b(-4) + c

Using the second point (-2,0.94):
0.94 = a(-2)^2 + b(-2) + c

Using the third point (0,1):
1 = a(0)^2 + b(0) + c

Simplifying these equations, we get a system of linear equations:

16a - 4b + c = 1  (Equation 1)
4a - 2b + c = 0.94  (Equation 2)
c = 1  (Equation 3)

To solve this system, we can use the method of substitution. Substituting Equation 3 into Equations 1 and 2, we get:

16a - 4b + 1 = 1  (Equation 4)
4a - 2b + 1 = 0.94  (Equation 5)

Simplifying Equations 4 and 5, we get:

16a - 4b = 0  (Equation 6)
4a - 2b = -0.06  (Equation 7)

Multiplying Equation 7 by 4, we get:

16a - 8b = -0.24  (Equation 8)

Subtracting Equation 6 from Equation 8, we eliminate the variable a:

16a - 8b - (16a - 4b) = -0.24 - 0
-4b = -0.24

Solving for b, we find b = 0.06.

Substituting the value of b into Equation 6, we find:

16a - 4(0.06) = 0
16a - 0.24 = 0
16a = 0.24
a = 0.015

Finally, substituting the values of a and b into Equation 3, we find:

c = 1

Therefore, the equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.

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Answer:

220.455

Step-by-step explanation:

490

472 <490<500

it fits the criteria

Answer:

Step-by-step explanation:

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

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Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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The 8 painters will take 12 hours and 9.6 minutes to paint the office. The result is obtained by comparing the two variables, worker and time duration.

If the they work at the same rate, find the time needed for the 8 painters to finish their job!

Let's say

We convert the unit of time in hours.

t₁ = 7 h 36 min

t₁ = (7 + 36/60) h

t₁ = (7 + 0.6) h

t₁ = 7.6 hours

If they work at the same rate, the number of workers and time durations of each day are directly proportional. So,

w₁/w₂ = t₁/t₂

5/8 = 7.6/t₂

t₂ = 8/5 × 7.6

t₂ = 12.16 hours

In hours and minutes,

t₂ = 12 h + (0.16 × 60) min

t₂ = 12 h 9.6 min

Hence, to paint the office, the 8 painters will take 12 hours and 9.6 minutes.

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ARRR YAAA READY KIDSSS??

Answer:

Squidward

Step-by-step explanation:

It is squidward because patrick does not work therefore patrick does not make any money

The equation of the parabola that models the flight of the ball is y = ax^2 + 25, where a can be any non-zero real number.

The equation of the parabola that models the flight of the ball can be expressed in the standard form: y = ax^2 + bx + c.

Since the ball is kicked from the origin, the equation simplifies to y = ax^2 + c.

To find the values of a and c, we can use the given information. The ball reaches a maximum height of 25 feet, which means the vertex of the parabola is at the point (0, 25). This gives us c = 25.

Now we need to determine the value of a. Since the maximum height occurs at the vertex, the x-coordinate of the vertex is 0. Additionally, we know that the ball hits the ground 100 feet from where it was kicked. The x-coordinate at that point is 100. Therefore, we can use the vertex form of the parabola equation, which is x = -b/2a, to find a.

Substituting the known values, we have 0 = -b/2a, which implies b = 0. Therefore, a can be any non-zero value.

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Answer:

23/3 OR 7 and 2/3

C) 24.10

1) Considering that rational numbers are any number that can be written as a ratio.

The number 23.07 is the same as 2307/100 and

The number 24.11 is the same as 2411/100

If we take the number line, we have a rational number 24.10 between those.

Because 24.10 can be written as 2410/100

Answer:

See below.

Step-by-step explanation:

The answer is D.

When the point is filled in, the number is included in the inequality, making the symbol ≥ or ≤.

-hope it helps

Answer:

Step-by-step explanation: