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Karo-lina-s [1.5K]
2 years ago
6

Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1/F - 1/S = 1/D, whe

re the focal distance to the object from the lens (D) is related to the focal length (F) and the distance from the lens to the film (S). If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?
Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

Answer:

Hun, your gonna need jesus to answer this atp

Step-by-step explanation:

open the bible

pray and hope for the best ttyl xox

You might be interested in
A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
2 years ago
What is the equation of the translated function, g(x), if f(x) = x2?
Eddi Din [679]

All of these would be translated versions of f(x).


A translated version is simply one in which the base equation is used and then moved. Each of these equations are quadratics with a starting term of x^2. All of them move up and down or side to side in some way and direction, but all of them would be translated versions of that graph.

6 0
2 years ago
The sum of 6 consecutive even numbers is <br> 270.<br> What is the second number in this sequence?
KonstantinChe [14]
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
4 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

                          =12\times0.4412\\=5.2944\\\approx5

Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent
Vaselesa [24]
Step 1: convert the equation into fhe vertex form

To do you can complete squares:

y = - [x^2 + 4x + 3]

y = - [ (x + 2)^2 - 4 + 3]

y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1

Then the vertex is (-2, 1)

Now you can drasw the vertex


Step 2: Find the roots (zeros)

y = - [ (x + 2)^2 - 1] = 0

(x + 2)^2 - 1 = 0

(x+2)^2 = 1

(x+2) = (+/-) √1

x + 2 = (+/-1)

x = - 2 +/- 1

x = -1 and x = -3

Now you draw the points (-1,0) , (-3,0)

Step 3: find the interception with the y-axis.

That is y value when x = 0

y = - (0)^2 - 4(0) - 3 = -3

Then draw the point (0, -3)

Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.

So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
7 0
2 years ago
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