An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, then what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

Answer:

domain: (-∞  ,∞)

range: (2,∞ )

Step-by-step explanation:

Answer:

2(x+2)(x+3)

Step-by-step explanation:

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Answer:

57.3 minutes

Step-by-step explanation:

We know that the temperature as a function of time of an object is described by the equation:

[tex]T(t) = T_a + (T_0 - Ta)*e^{-k*t}[/tex]

Where:

k is a constant

Tₐ =  room temperature = 68°F

T₀ =  initial temperature of the object = 375°F

Replacing these in our equation we will get

T(t) = 68°F + (375°F - 68°F)*e^{-k*t} = 68°F + (307°F)*e^{-k*t}

And we know that after 25 minutes, at t = 25min, the temperature of the casserole is 190°F

then:

T(25min) = 190°F = 68°F + (307°F)*e^{-k*25 min}

Now we can solve this for k:

190°F = 68°F + (307°F)*e^{-k*25 min}

190°F - 68°F = (307°F)*e^{-k*25 min}

(122°F)/(307°F) = e^{-k*25 min}

Now we can apply the natural logarithm in both sides:

Ln( 122/307) = Ln(e^{-k*25 min}) = -k*25min

Ln( 122/307)/(-25 min) = k = 0.0369 min^-1

Then the temperature equation is:

T(t) = 68°F + (307°F)*e^{-0.0369 min^-1*t}

Now we want to find the value of t such that:

T(t) = 105°F = 68°F + (307°F)*e^{-0.0369 min^-1*t}

We can solve this in the same way:

105°F - 68°F =  (307°F)*e^{-0.0369 min^-1*t}

37°F =  (307°F)*e^{-0.0369 min^-1*t}

(37°F)/(307°F) = e^{-0.0369 min^-1*t}

Ln( 37/307) = -0.0369 min^-1*t

Ln( 37/307)/( -0.0369 min^-1 ) = 57.3 min

So after 57.3 minutes, the temperature of the casserrole will be 105°F

Answer:

There are 4 terms

Step-by-step explanation:

A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.

So, in this case, the terms are:

-7

12x^4

-5y^8

x

Answer:

Yeah, so that is right, just put it into a formula.

[tex]9.07*10x^{-2}[/tex]

Step-by-step explanation:

 the rational numbers between 1/6 and 2/3 are 2/6 ,3/6 .

Answer:

therefore the rational numbers between 1/6 and 2/3 are 2/6 ,3/6 .........

Answer:

[tex]3600[/tex]

Step-by-step explanation:

One is asked to find the cost of a vacation when given the following information;

Travel: 150

Hotel: 50 per day

Spending money: 250

One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.

- Each cost is per person, therefore one will have to multiply the cost by the number of people.

- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.

- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people

- The spending money is for the entire vacation and not per day.

With these assumptions, one can form the following equaton;

x = number of people = 4

y = number of days = 7

[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]

Substitute,

[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]

[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]

Simplify,

[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]

[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]

Answer:

Step-by-step explanation:

1) Slope of the given line = -3

slope of the perpendicular line = 1/3

y - 0 = 1/3(x-9)

y = 1/3x - 3

2) slope of the parallel line = -3

y - 0 = -3(x-9)

y = -3x + 27

Answer:

1). y = 1/3x - 3       2).y = -3x + 27

Step-by-step explanation:

1). y = 1/3x + b

0 = 1/3(9) + b

0 = 3 + b

-3 = b

y = 1/3x - 3

2)/ y = -3x + b

0 = -3(9) + b

0 = -27 + b

27 = b

y = -3x + 27

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data showing the relationship between GPA and hours of study :

From the regression model given :

Regression equation is:

y = 0.141x + 1.096

Also, the regression Coefficient, R = 0.957

a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.

From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.

The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.

Here there is a strong positive relationship between GPA and Hours.

Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.

And the angles of the triangle will be supplementary angles. Then the equation is given as,

∠P + ∠Q + ∠R = 180°

53 + 90° + ∠R = 180°

∠R = 37°

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ7

Answer:

3% = 0.03 = [tex]\frac{3}{100}[/tex]

Answer: 3/100

Step-by-step explanation:

3%=0.03=3/100

Have a great day!!

Step-by-step explanation:

this photo is correct answer of this question.

Answer:[tex]-0.802; \ 1.517[/tex]

Step-by-step explanation:

Given

[tex]3^x=x^4[/tex]

Here, two functions are given that is [tex]y=3^x[/tex] and [tex]y=x^4[/tex]

Check for the intersection of the graph of two curves

From the graph, they cut at two different points  i.e. [tex]x=-0.802\ \text{and}\ x=1.517[/tex]

Rest two roots are negative.

Answer:

6.270

Step-by-step explanation:

3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.

Answer:

0.6944

Step-by-step explanation:

25/36 is 0.6944 in division

Answer:

Step-by-step explanation:

Given:

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\sf{log_{5}}(\tt{10x-1})=\sf{log_{5}}(\tt{9x+7})\\\\10x-1=9x+7\\\\10x-9x=7+1\\\\\pmb{\green{\underline{\sf{x=\frak{8}}}}}[/tex] 

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

1:  50 - (3(3) + 5.5(4))=x

2: okay so we know how much books are brought and how much each cost.

In this case paper backs are 3 dollars each and cost 3 dollars each. So 3 (3) is 9 dollars. The next scenario are hardbacks which are 5.50 each and Tom brought 4 of them. So that makes it 5.5(4) which is 22 dollars. So the total would be 9+22 which is 31 dollars. The question asks for change from a 50 dollar bill which you subtract and 50-31=19

The change would be 19 dollars

Answer:

yeah it is

y is directly proportional to x

proportionality constant is 9

Answer:

ssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

¼. 1000

Step-by-step explanation:

25% = 25/100

= 1/4

Therefore,

25% of 1,000 is the same as

1/4. 1000

2.71 is your answer

kqkdkwmd

Answer:

A. Energy (weight)

Step-by-step explanation:

Mark me as brainiest

is this year 3 math? Its 4

Answer:

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

Step-by-step explanation:

Mathematically;

(fg)(x) = f(x) * g(x)

so we have;

4x^2 +x^4 * √(x^2 + 4)

But √(x^2 + 4) = (x^2 + 4)^(1/2)

So we have;

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

Answer:

Cost of each pencil = $12.5

Cost of each eraser = $7.5

Step-by-step explanation:

Given:

Number of eraser bought = 3

Number of pencil bought = 2

Total amount paid = $47.50

Cost of one pencil and one eraser = $20

Find:

Each cost

Computation:

Let;

Cost of each eraser = e

Cost of each pencil = p

So,

e + p = 20

e = 20 - p .................................... eq1

3e + 2p = 47.50

3(20 - p) + 2p = 47.50

60 - 3p + 2p = 47.50

-p = -12.5

Cost of each pencil = $12.5

e = 20 - p

e = 20 - 12.5

e = 7.5

Cost of each eraser = $7.5

Answer:

32cm³ is the volume of the given rectangle.

Step-by-step explanation:

volume of rectangle=l×w×h

hope it helps

Answer:

bro i go to your school

lol

Step-by-step explanation:

Answer:

The length of the lights is 2088 inches

Step-by-step explanation:

The question is mixed up with another (See comment for correct question)

Given

[tex]Length = 799in[/tex]

[tex]Width = 245in[/tex]

Required

The perimeter of the deck (this is what the question implies)

The perimeter (P) is:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (799 + 245)[/tex]

[tex]P = 2 * 1044[/tex]

[tex]P = 2088[/tex]