If a < b then ka < kb

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753

Answer:

Finally, Juno and her satellite were able to return home to her family.

Step-by-step explanation:

Answer:

Finally, Juno and her satellite were able to return home to her family

Step-by-step explanation:

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

Therefore, the company's expectation is $486.26.

Learn more about maths in https://brainly.com/question/3554632

Answer:

The total cost of the motorcycle was $5,565.

Step-by-step explanation:

Answer:

i believe it would be 0

Step-by-step explanation:

2*5 = x

2*5 = 10

x = 10

10 + y = x

10 + y = 10

-10        -10

-----------------

y = 0

the number is 0

hope this helps! :D

have a miraculous day!! <3

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]

[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]

to this

[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]

which is the final answer.

Answer:

[tex]110 + 11w[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]11(10 + w)[/tex]

[tex](11 * 10) + (11 * w)[/tex]

[tex]110 + 11w[/tex]

Answer:  [tex]110 + 11w[/tex]

Answer:

1.is a function

2. is a function

3. is a function

4. is not a function

Step-by-step explanation:

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

Answer:

Step-by-step explanation:

12 x 3=36 yx

12x2x3= 72 x*y

hope this helps,

(Info is in attachment)

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

A. AC≅AC, Reflexive Property of Congruence

Correct. This is shared side of the triangles ABC and CDA

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

Correct. BC and AD are parallel and AC is transversal

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

Correct. AB and DC are parallel and AC is transversal

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.

Answer:

The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct

Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.

Last one is correct, it's SSA

Answer:

y = 2x - 7

Step-by-step explanation:

lmk if you want an explanation

Answer:

60 average miles per hour.

Step-by-step explanation:

300÷5=60

Hope this helps!

Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

Answer:

B

Step-by-step explanation:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The common ones are 1, 2, 3, and 6. The greatest one among these is 6.

Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.

Answer:

12

Step-by-step explanation:

You do 6+6, or 2+2+2+2+2+2=12

Answer:

12.6

Step-by-step explanation:

total weight of apples = 3+ 4.2

= 7.2 pounds

total money spent on apples = 1.75 × 7.2

= $12.6

Answer:

12.6

Step-by-step explanation:

he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6

Answer:

5

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

So in between the 2 and the / there is an 8

Step-by-step explanation:

Because 28/4=7

Answer:

No. They are not equivalent.

Step-by-step explanation:

[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]

=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]

Therefore, 3/5 and 1/2 are not equivalent.

Hoped this helped.

Answer:

yes

Step-by-step explanation:

they are equivalent

Answer:

A. y<-3

Step-by-step explanation:

Answer:

John can type 53 words per minute

Step-by-step explanation:

You would divide 265 by 5 to get the result of 53.

Answer: John types 53 words a minute

Step-by-step explanation:

1 We know he types 265 words in 5 minutes

2 DIvide 265 by 5 to get one minute

3 the answer is 53, so he types 53 WPM

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

Answer: The property of y x 0 = 0 is the Identity property.

Step-by-step explanation:

I hope this is what you were looking for, I apologize if I have been mistaken.

All the function graphed have domain of all real numbers.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

The domain of a function is defined by the graph's x-values (input values).

Similarly, Range is defined by the set of y-values (output values) in the function's graph.

Now, From the graph attached,

Domain of function 'f' : {x | x ∈ R}

Domain of function 'g' : {x | x ∈ R}

Domain of function 'h' : {x | x ∈ R}

Learn more about Function here:

https://brainly.com/question/17645931

#SPJ7

Given :-

To find :-

Solution :-

Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,

[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100

[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y

• According to the Question ,

[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time

[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs

[tex]\red{\dashrightarrow} [/tex] x = 3y

And ,

[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed

[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)

[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y

[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y

[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs

[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs

Hence now it will take 2.5 hrs to go from A to B .

Answer:

Step-by-step explanation:

Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed).  The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).

We find the speed to be 3 miles/3 hours, or 1 mph.  A 20% increase in speed would be (1.20)(1) = 1.20 mph.

We can find the time for a 1.2 mph car to go 3 miles by:

(3 miles)/(1.2 mph) = 2.5 hours

=====

[Note that if we assumed a different distance, say 6 miles, we'd get the same result:

6 miles/3 hours = 2 mph

1.2*2 = 2.4 mph

New time = 6/2.4 = 2.5 hours; same as before]

Answer:

See below

Step-by-step explanation:

Remember that y=mx+b:

1) y = -3x+7

2) y = 1/4x-5