a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). the lamp has a diameter of 20 inches. Which is the depth of the dish?

Answers

Answer 1

9514 1404 393

Answer:

  3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

  y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

  y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

A Parabolic Lamp Is Facing Due East. The Bulb (located At The Focus) Is 8 Inches Away From The Vertex

Related Questions

i have a question. How much is 1300 + 200

Answers

Answer:

1500

Step-by-step explanation:

1300

200

=1500

hope this helps

-(x-10)=7
Solve and Explain.

Answers

Answer:

you need to solve for x

Step-by-step explanation:

the ez way for me is by flipping it so now it is -(7-10)=x and 10 -7=3

Answer:

-7=3

Step-by-step explanation:

Hope this helps :D

16 cm
128°
16 cm
26°
26°
28 cm
What triangle is this called

Answers

Answer:

Obtuse Isosceles Triangle

Step-by-step explanation:

What is the solution of this equation? Plz help asap!

Answers

Answer:

I believe the answer is = 6,-6

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] - \frac{1}{2} {n}^{2} + 18 = 0 \\ [/tex]

Subtract sides 18

[tex] - \frac{1}{2} {n}^{2} + 18 - 18 = - 18 \\ [/tex]

[tex] - \frac{1}{2} {n}^{2} = - 18 \\ [/tex]

Negatives simplifies

[tex] \frac{1}{2} {n}^{2} = 18 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{1}{2} {n}^{2} = 2 \times 18 \\ [/tex]

[tex] {n}^{2} = 36[/tex]

Take of the sides

[tex] \sqrt{ {n}^{2} } = \sqrt{36} \\ [/tex]

[tex] |n| = 6[/tex]

[tex]n = ± \: 6[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

in an examination 60% exam in failed in maths 55% failed in English and 25 failed in both subjects if none of the exam in past in the both subject find the number of exam in who passed in mathematics only​

Answers

Answer:

60% x 25

55 % x 25

10 in english

25 is total and rest will be math

so 25-10 = 15

15 students failed math

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

The mean temperature for the first 4 days in January was -3°C.
The mean temperature for the first 5 days in January was -2°C.
What was the temperature on the 5th day?

Answers

Answer:

2°C

Step-by-step explanation:

5 × ( - 2 ) - 4 × ( - 3 ) = - 10 + 12 = 2

The temperature on the 5th day is 2°C .

show work/ explain it ​

Answers

9514 1404 393

Answer:

  $68.00

Step-by-step explanation:

Let s represent the opening price. Then the closing price is ...

  s - 3.25% × s = $65.79

  s(1 -0.0325) = $65.79 . . . . collect terms

  0.9675s = $65.79 . . . . . . . simplify

  s = $65.79/0.9675 . . . . . . .divide by the coefficient of s

  s = $68.00 . . . . . the opening stock price

I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.

Answers

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. Be sure to include the correct unit in your answer.​

Answers

Step-by-step explanation:

circumference=

π*d

3.14x32

=100.48

Find the value of x.
Question 16 options:

A)

55°

B)

141°

C)

51°

D)

39°

Answers

Answer:

B is the answer

Step-by-step explanation:

the answer is b
because a straight line equals 180
39-180=141

Help please I don’t know the answer to this

Answers

Answer:

ima just say 10 and 6 my G I'm kinda dumb but u could try it

Answer:

5pt=10cups

24qt=6gal

Step-by-step explanation:

5*2=10

24/4=6

Evaluate the expression 5c-2 for c=5.
help

Answers

Answer:

= 23

Step-by-step explanation:

(5) (5) - 2 ( multiply )

= 5 * 5 = 25

( subtract ) 25 - 2 = 23

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days. Each day they found 9 shells. How many fewer shells did they find this year than last year?

Answers

Answer:

Step-by-step explanation:

Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63

Number of shells found this summer: 63

Number of shells found fewer this year than last year: 152 - 63 = 89

Hence, Jon’s family found 63 fewer shells than last year

Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

Let x be the number of shells they find this year than last year.

The value of x can be found as follows:

x = 152 - 7×9

x = 152 - 63

x = 89 shells

Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

Find the Value of x if the perimeter of the figure below is equal to it's area.

Answers

Answer:

2x + 5 = 3

Step-by-step explanation:

2x + 5 = x = -2 + 5

x = 3

What is the slope of the line that connects the points (0,7) and (4,15)

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 7)

Point (4, 15)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{15-7}{4-0}[/tex]Subtract:                       [tex]m=\frac{8}{4}[/tex]Divide:                           [tex]m=2[/tex]

Which of the following is in the solution set of the inequality x + 13 < 9?
A 22
B. -22
C. 4
D. -4

Answers

Answer: B.x = -22

x + 13 < 9

⇔ x < 9 - 13

⇔ x < -4

=> x ∈ {-∞; -4}

=> x = -22

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 13 < 9

x < - 4

(B). - 22

PLEASE HELP MEEEEEEEEEEE

Answers

Answer:

y=-4x+1

Step-by-step explanation:

m=-4

h=1

Answer:

Step-by-step explanation:

b is the y intercept. Start with b. The graph shows that the point (0,b) is (0,1)

So far what you have is y = mx + 1

Now you have to deal with m

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

m = (1 - 0)/(0 - -1/2) = 1 /0.5 = 2      Use your calculator for this.

So the line is y = 2x + 1

As you move into the shaded area  y > 2x + 1

I reproduced the graph to show that pointed the arrow in the right way. You can try it to see if it works by trying a couple of points. y should work out to be greater than 2x + 1

(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?

Answers

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

why did my dog have diarrhea when it ate a strawberry?

Answers

Answer: I don’t know, because strawberries are seen as good for dogs and it provides them with extra vitamin c. Maybe he/she just didn’t like it or it didn’t sit well in the stomach.

Answer: Sometimes a dog may be allergic to a certain food. Vomiting, diarrhea and skin problems may be symptoms of an allergic reaction. Consult your veterinarian if any of those occur. Introduce only one type of fruit at a time to your dog. Hope this helps... Stay safe and have a great weekend...

Plz mark me brainliest... Hope this is what you are looking for...

:D

Hat is \text{P(heads})P(heads)start text, P, left parenthesis, h, e, a, d, s, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Question:

You flip a fair coin ; What is P(heads)? If necessary, round your answer to 2 decimal places​

Answer:

[tex]P(Head) =0.50[/tex]

Step-by-step explanation:

Given:

A fair coin

Required

Determine [tex]P(Head)[/tex]

A coin has two faces (Head (1) and Tail (1) )

i.e. 1 head and 1 tail

Both of which have equal probability, which is calculated as follows:

[tex]P(Head) = P(Tail) = \frac{1}{1 + 1}[/tex]

[tex]P(Head) = P(Tail) = \frac{1}{2}[/tex]

[tex]P(Head) = P(Tail) = 0.5[/tex]

Hence:

[tex]P(Head) =0.50[/tex]

Answer: Its 0.50

Step-by-step explanation:

how many ways can you choose steak,fish, or chicken if you can only choose two meats?

Answers

Answer:

Steak and Fish

Steak and Chicken

Fish and Chicken

Step-by-step explanation:

These are the possible choices:

Steak and Fish

Steak and Chicken

Fish and Chicken

You can double-check this by looking at each meat, and making sure it was paired with both other types of meat.

I Hope That This Helps! :)

Five friends ate lunch together. They each paid the same amount the total cost of all five meals was $51.94 which included a 6% sales tax, what was the cost of one meal before tax was added?

Answers

Given:

Total number of friends = 5

Total cost of all five meals = $51.94

Sales tax = 6%

To find:

The cost of one meal before tax was added.

Solution:

Let x be the cost of all five meals before tax.

Then, Amount of tax = 6% of x

According to he question,

[tex]x+\dfrac{6}{100}x=51.94[/tex]

[tex]x+0.06x=51.94[/tex]

[tex]1.06x=51.94[/tex]

Divide both sides by 51.94.

[tex]x=\dfrac{51.94}{1.06}[/tex]

[tex]x=49[/tex]

So, the cost of all five meals before tax is $49.

Divide this cost by 5 to get the cost of one meal before tax was added.

[tex]\dfrac{49}{5}=9.8[/tex]

Therefore, the cost of one meal before tax was added, is $9.8.

Zeno jumped 8 meters. Then he jumped half as far again (4 meters). Then he jumped half as far again (2 meters). So after 3 jumps, he was 8 + 4 + 2 = 14 meters from his starting place.



a. Zeno kept jumping half as far again. How far would he be after 4 jumps?

Answers

14/2 = 7

7/2 = 3.5

3.5/2 = 1.75

1.75/2 = 0.875

9514 1404 393

Answer:

  15 meters

Step-by-step explanation:

Zeno's last jump was 2 meters, so another jump half as far adds 1 meter to the 14 m total.

After 4 jumps, Zeno would have jumped 15 meters from his starting place.

__

Comment on the question

The given distances give a total "after 3 jumps." The question asks for a total "after 4 jumps." It is not clear whether that is 4 jumps total, or 4 more jumps. In the above, we have assumed it is 4 jumps total.

I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)

Answers

                                                  (17)

Answer:

[tex]h(-6) = -457[/tex]            

Step-by-step explanation:

Given the function

[tex]h(x)= 72 x-25[/tex]

Put [tex]h = -6[/tex] to in the function

[tex]h(x)= 72 x-25[/tex]

[tex]h\left(-6\right)=\:72\left(-6\right)-25[/tex]

           [tex]=-432-25[/tex]

           [tex]=-457[/tex]

Therefore,

[tex]h(-6) = -457[/tex]                            

                                                   (18)

Answer:

[tex]g(2)=25[/tex]            

Step-by-step explanation:

Given the function

[tex]g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3[/tex]

[tex]g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3[/tex]

        [tex]= 20 + 8 - 3[/tex]

        [tex]= 25[/tex]

Therefore,

[tex]g(2)=25[/tex]

krytine has a weekend job advertising an upcoming play. she has two options for being paid. Option A is an hourly wage of ​$7.50 Option B is ​5% commission on all money made at the play. she plans to work 7 hours each day on Saturday and Sunday. krystine estimates the play will make about ​$2,000 this weekend. Which option gives more earnings this​ weekend?

Answers

The Answer is: The hourly rate option of $112 is higher than the commission rate of $105.

Step-by-step explanation:

She will work 16 hours at $7.00 per hour:

16 * 7 = $112

Or she could take the 5% commission on $2,100:

2100 * .05 = $105.

The hourly rate is higher than the anticipated commission amount.

Somebody help me with these 3.

Answers

Answer:6 ture    7 false         8 true                                                                                                     Step-by-step explanation:

The answers you have selected i believe are correct

Step-by-step explanation:

6) True

7) False

8) True

I need this answer ASAP!!!!!!
What is 1 + 2?

Answers

Ummmmmm I think it’s 12

Answer:

3

Step-by-step explanation:

What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?

Answers

Answer:

55

Step-by-step explanation:

the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 5y² + 4x

To calculate the value of expression at x = 2.5 and y = 3

Substitute the value of x and y in the expression:

=> 5y² + 4x

=> 5* 9 + 4 * 2.5

=> 45 + 10

=> 55

therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ3

Other Questions
which geometric solid is the best model for these cell Please help me and please explain it also .An oatmeal cookie is dropped on the floor. Is this an inelastic collision? Read the passage. Next, match the transition with the paragraph in which it would best be used.Growing up, I really misunderstood wolves. Fairy tales, 1 "The Three Little Pigs," gave me a false impression. I pictured wolves as big, bad creatures that could blow down houses.As a teenager, horror movies confused me 2. I envisioned wolves as bloodthirsty beasts or humans trapped in another form.3, things changed. In college, I went camping with friends. I witnessed my first wolf up close. 3, I finally understood the beauty and grace of the majestic creature.BRAINLIEST AND 50 POINTS PLZ ANSWER ASAPTransition paragraphMatch Term Definition notably A) paragraph 3 even further B) paragraph 2 in the end C) paragraph 1 work out the size of angle x.image included the gift of the magi Which of the following is an adjustment allowed by the IRS?O A. Tuition expensesOB. Work expensesC. Medical expensesO D. Dental expenses 27. The Roman emperor Constantine issued the Edict of Milan: A which legalized Christianity in the Roman Empire. B which allowed for absolute freedom of religion in Rome. C which prohibited public displays of religion throughout the Empire. D which promised rewards to anyone turning in a practicing Christian to Roman authorities. During a chemical reaction, a new ___________ is formed. what is formed PLEASE HELP ME! THANK YOU !! A geologist studies rocks. Which of Earth's spheres would a geologist be most interested in? Please help this has to be done! (Will give Brainiest!!) 20 Points! Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 . can you help me plz take your time tho find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x) how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter? Find the soultion, marked as brainlest Is 0.000027 greater than 270? Name at least three characteristics it would be important for a person to have if they wanted a careeer in the performing arts One of the purposes of A2S3 is to show the excitement of young long, as both Romeo and Juliet anticipate each other's return to be married, we get a glimpse of Romeo's perception. In this scene, we have the same purpose but now from Juliet's perspective. After reading the scene, compare Romeo to Juliet or The Nurse to Friar Laurence. How do they both respond in their respective scenes? (Romeo / Friar Scene 3 and Juliet / Nurse Scene 5). Use evidence from the text to support your response.