An ellipse has focused F1 (-2,4) and F2 (0,7) and the point (4,4) is on the ellipse. Identify the constant sum for the ellipse.

Answer:

The Third one.

Step-by-step explanation:

So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!

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Have a nice day! :)

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

Learn more about probability here:

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Answer:

Step-by-step explanation:

Quadratic equations are commonly used in situations where two things are multiplied together and they both depend on the same variable. For example, when working with area, if both dimensions are written in terms of the same variable, you use a quadratic equation.

Answer:

no solution

Step-by-step explanation:

6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis

10x - 1 = 10x + 8 ( add 1 to both sides )

10x = 10x + 9 ( subtract 10x from both sides )

0 = 9 ← not possible

this indicates the equation has no solution

Answer:

D

Step-by-step explanation:

sub in the x value and if its equal to -2 its on that line

Step-by-step explanation:

that is totally simple.

the area of a parallelogram is

baseline × height

basically the same as for a rectangle, just that in this more general form the height is no longer the other side.

in our case here

18×13 = 234 cm²

Answer:

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

Step-by-step explanation:

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

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Answer:

ok

Step-by-step explanation:

Answer:

$6.08 per pound

Explanation:

30 ounce ⇒ $11.40

conversions:

solve:

Answer:

$6.08

Step-by-step explanation:

Mohsin purchased a 30-ounce bag of dried Turkish figs for $11.40.

⇒ 30 ounces of dried Turkish figs = $11.40

Finding the cost per ounces:

30 ounces of dried Turkish figs/30 = $11.40

⇒ 30 ounces of dried Turkish figs/30 = $11.40/30

⇒ 1 ounce of dried Turkish figs = $0.38

Finding the cost per pounds:

1 pound ↔ 16 ounces

⇒ 1 ounce of dried Turkish figs = $0.38

⇒ 1 ounce of dried Turkish figs × 16 = $0.38 × 16

⇒ 16 ounces of dried Turkish figs = $6.08

Answer:

68/100=17/25

Step-by-step explanation:

Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D

Answer:

0.68=17/25

Step-by-step explanation:

first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.

Answer:

Step-by-step explanation:

N 32 players

Q1. 12 onces bottles

Q2. 1.152 onces water

N bottle?

1.152/12= 96 (number of bottles)

96/32=3 (number por player)

Answer:

2854.5 in^3

Step-by-step explanation:

4/3 π(8.8)^3

4/3π(681.472)

908.63π = 2854.5 in^3

Answer:

Exact form would be 1/8

and the decimal form is 0.125

Answer:

2^-3=1/8=0.125

Step-by-step explanation:

We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number

We get 2^-3 = 1/(2^3)

and 2^3=8

so we get 2^-3= 1/8 =0.125

Answer:

0.008791747

Step-by-step explanation:  

0.000879  

x       1.028

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

         0167

       01580

   000000

08790000

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

  8791747

0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.

Final answer: 0.008791747

I hope this helps!

The base of the ladder and the wall forms a right triangle

The horizontal distance between the base of the ladder and the wall is 9.3 feet

The given parametes are:

Angle = 69 degrees

Length of the ladder (l) = 26 feet

The horizontal distance (h) is calculated using the following cosine ratio

cos(θ) = h/l

Substitute known values

cos(69) = h/26

Make h the subject

h = 26 * cos(69)

Evaluate the product

h = 9.3

Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet

Read more about right triangles at:

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Answer:

15% interest

Step-by-step explanation:

because it's 15 out of 100 so that would be 15%

Answer:

y=1/4x+3

Step-by-step explanation:

You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.

Answer:

a. 21.95 or abt 22

b. Length of the ladder

Step-by-step explanation:

pythagorean theorem - a^2 + b^2 = c^2

[c is slope/hypoteneuse] [a and b are sides]

11^2 + 19^2 = c^2

121 + 361 = c^2

482 = c^2

sqrt(482) = c

c = 21.954 or abt 22

Answer:

8 packages

Step-by-step explanation:

First, let's subtract.

#1) Remove the cost of the notebook.

#2) Remove the amount that needs to be saved.

#3) Make the inequality.

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

Answer:

Step-by-step explanation:

perp. -8/3

y + 2 = -8/3(x - 8)

y  + 2 = -8/3x + 64/3

y + 6/3 = -8/3x + 64/3

y = -8/3x + 58/3

y + 2 = -3/8(x - 8)

y + 2 = -3/8x + 3

y = -3/8x + 1

Answer:

Yes

Step-by-step explanation:

If you divide 26 by six, you get s decimal smaller than 5. Remember, 5*5=25. 6*5=30, so that doesn't work. 6*4=24, so that does. Then you get four with a remainder of one.

Answer:

[tex] I = \frac{1}{8} e^{4x^2} + C [/tex]

Step-by-step explanation:

This can be solved using substitution method. Let us work it out.

[tex] Let \: I = \int xe^{4x^2} dx[/tex]

[tex] \implies \: I = \int e^{4x^2} xdx[/tex]

[tex] Put \:4x^2 = t [/tex]

[tex] \implies 8x dx = dt [/tex]

[tex] \implies x dx = \frac{1}{8}dt [/tex]

[tex] \implies \: I = \int e^{t} \frac{1}{8}dt [/tex]

[tex] \implies \: I = \frac{1}{8} \int e^{t}dt [/tex]

[tex] \implies \: I = \frac{1}{8} e^{t} + C [/tex]

[tex] \implies \: I = \frac{1}{8} e^{4x^2} + C [/tex]

[tex] \implies \: \int xe^{4x^2} dx = \frac{1}{8} e^{4x^2} + C [/tex]

Answer:

Each get 89 marbles and the leftovers are 0

Step-by-step explanation:

We have to ditribute the 267 marbles for 3 people so divide 267 by 3:

[tex]\frac{267}{3}[/tex] = 89

So each one gets 89

The leftovers are 0 because 267 is divisible by 3, means that if we divide 267 by 3 we will get a natural number ( no decimal part/ remainder=0)

remainder=0 → leftovers=0

Answer:

Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.

Step-by-step explanation:

Answer:

in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.

Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.

Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.

In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).

As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.

Answer:

1.25 feet to the nearest hundredth.

Step-by-step explanation:

Voilume = π r^2 h

Here V = 48π , and area of the base = π r^2 = 121.

So  48π = 121h

h =  48π / 121

= 1.25 feet to the nearest hundredth.