Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?

Answer: 2, 1.5 , -0.75

(b) [tex]4x-3y-10=0[/tex]

Step-by-step explanation:

Given

line is [tex]3x+4y-6=0[/tex]

Converting it into intercept form

[tex]\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1[/tex]

So, the x-intercept is [tex]2[/tex] and y-intercept is [tex]1.5[/tex]

The slope is given by

[tex]-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75[/tex]

(b) the line perpendicular to the above line and passing through [tex](1,-2)[/tex]

The slope of the required line

[tex]m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}[/tex]

Equation of the line is given by

[tex]\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0[/tex]

Answer:

i have made it in above picture

hope it helps

Answer:

I only know the first question, If you leave that money for 1 year it would equal $480 basically,  $300 x 1.6 = $480.

Step-by-step explanation:

The required amount in your account after 2 years will be $337.08.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
If you deposit $300 in an account with a 6% interest rate, the amount in your account after 1 year can be calculated as follows:

Find the interest earned after one year:

Interest earned = (6/100) x 300 = $18

Add the interest earned to the original amount:

Total amount after 1 year = $300 + $18 = $318

Therefore, the amount in your account after 1 year will be $318.

If you leave this money in the account for another year, the amount in your account after 2 years can be calculated as follows:

Find the interest earned after two years:

Interest earned in year 1 = $18

Interest earned in year 2 = (6/100) x $318 = $19.08

Add the interest earned to the original amount and the interest earned in year 1:

Total amount after 2 years = $300 + $18 + $19.08 = $337.08

Therefore, the amount in your account after 2 years will be $337.08.

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Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

Answer: son, estoy, estas, es, son, estamos, son, estan

Step-by-step explanation:

If it is talking about someone else then try to use, son. Like the first one. For words for yo use words like estoy. I don´t really know how to explain them but they make sense.

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid

Answer:

area = 77 m²

Step-by-step explanation:

area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²

Answer:

B

Step-by-step explanation:

You multiply the 3 numbers.

Answer:

log 81 = 1.90849

Step-by-step explanation:

log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849

Answer:

assuming that you want us to add them together here's the answer i got-

5y²−3y+3

Step-by-step explanation:

let us simplify step-by-step-

4y²−2y−5+y²(−y)+8

= 4y²+(−2y)+(−5)+y²+(−y)+8

combining like terms-

=4y²+−2y+−5+-y²+−y+8

=(4y²+y²)+(−2y+−y)+(−5+8)

=5y²+−3y+3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

how about no

Step-by-step explanation:

using cos to get x

cos -1 of 13/20

= 49.45

then y = 40.54° using sin y= opp /hyp =13\15

then the sin-1 of 13/20 =40.54 •

Answer:

X=37

Step-by-step explanation:

180-45-98=37

Domain:(−∞,∞),{x|x∈R}

Range:[2,∞),{y|y≥2}

The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

Y=x^2+4x+6

As, we know that domain is the input value and range is the output value.

Then, x = 1

y = 1 + 4 +6

y= 11

and, x= 2

Y = 4 + 8 +6

Y = 18

and, x= 3

Y = 9 + 12 + 6

Y = 27

and, x = 4

Y = 16 + 16 + 6

Y = 38

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9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

Answer:

k=-0.25

Step-by-step explanation:

Answer: i think a nd c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean for brand A is higher than the mean for brand B

The mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

For brand A:

The number of hours per lightbulb:

1000, 4200, 1400, 1500, 1800, 2000

Mean for brand A:

[tex]\rm Mean(A) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]

[tex]\rm Mean(A)= \frac{1000+4200+1400+1500+1800+ 2000}{6}[/tex]

[tex]\rm Mean(A)= \frac{11900}{6}\\\\\rm Mean(A) = 1983.33[/tex]

For Brand B:

The number of hours per lightbulb:

1200, 1400, 1600, 1800, 2000

Mean for brand B:

[tex]\rm Mean(B) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]

[tex]\rm Mean(B)= \frac{1200 +1400 +1600 +1800 +2000}{6}[/tex]

[tex]\rm Mean(B)= \frac{8000}{5}\\\\\rm Mean(B) = 1600[/tex]

We can see that:

Mean(A) > Mean(B)

Thus, the mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.

Learn more about the mean here:

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Answer:

360

Step-by-step explanation:

Answer:

Soln

At first find the total area of figure then decrease the area with shaded region.

You can get answers.

Answer:

7

Step-by-step explanation:

2+2+3

Answer:

The first blank is 9  for 9 cucumbers

The second blank is 8 dollars

Step-by-step explanation:

We can use ratios to solve

3 cucumbers           x cucumbers

--------------------- = ----------------------

2 dollars                   6 dollars

Using cross products

3*6 = 2x

18 = 2x

Divide by 2

18/2 = 2x/2

9 =x

We need 9 cucumbers

For the third row

3 cucumbers           12 cucumbers

--------------------- = ----------------------

2 dollars                   y dollars

Using cross products

3*y = 2*12

3y = 24

Divide by 3

3y/3 = 24/3

y = 8

We need 8 dollars

Answer:

it rose three eighths of a pound

Answer:

1.330391 ; 1.734064 ; 1.713872 ; 1.670649 ;

Step-by-step explanation:

a) t0.10, 18

α = 0.10 ; df = 18

From table, critical value = 1.330

(b) t0.05, 18

α = 0.05 ; df = 18

From table, critical value = 1.734

(c) t0.05, 23

α = 0.05 ; df = 23

From table, critical value = 1.714

(d) t0.05, 60

α = 0.05 ; df = 60

From table, critical value = 1.671

(e) t0.005, 60

α = 0.05 ; df = 60

From table, critical value = 2.660

Answer:

The owner will have to pay $ 125 after 2 hours.

Step-by-step explanation:

Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :

((6000 - 5000) / 8) x 1 = X

(1000/8) x 1 = X

125 x 1 = X

125 = X

Therefore, the owner will have to pay $ 125 after 2 hours.