The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

Answer:

The answer is D.

Step-by-step explanation:

Since (4x+20) and 60 are vertically opposite angles. They both are equal. Hope this helped!

Answer:

Solution given:

3(5x+8)

distribute

15x+8*3

15x+24 is a required answer.

Answer:

15x + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication.  Multiply each of the two terms inside parentheses by 3:

3(5x + 8) = 15x + 24

Answer:

b

Step-by-step explanation:

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V =

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V =

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

1 cubic foot () is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

approximately 32,900 gallons

Step-by-step explanation:

volume water in tank

v = πr²h * .70

v = π * 10² * 20 * .70

v = 4,398.2297150257 ft³

1 ft³ = 7.48 gallons

gallons in tank

4,398.2297150257 * 7.48 = 32,898.7582683922

~ 32,900 gallons

Answer:

13. 10%

14. 43/50

Step-by-step explanation:

13. P(1000) = 5/50 × 100% = 10%

14. P(not 100) = (50-7) /50 = 43/50

Answer:

0

Step-by-step explanation:

this is just to confuse us.

"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.

and 3 different functional definitions have been given based on the value of the argument "t".

we need the functional value for t=2.

is 2 = 8 ? no. therefore the first definition does not apply.

is 2 = 10 ? no. therefore the second definition does not apply either.

is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.

so, the third definition applies :

f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0

Answer:

english plz

Step-by-step explanation:

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

Answer:

Length of kite string = 118.9 feet (Approx.)

Step-by-step explanation:

Given:

Height of kite = 78 feet

Angle of elevation = 41°

Find;

Length of kite string

Computation:

Height of kite = Perpendicular

Length of kite string = Hypotenuse

Using trigonometry function;

Sinθ = Perpendicular / Hypotenuse

Sin 41 = Height of kite / Length of kite string

0.656 = 78 / Length of kite string

Length of kite string = 78 / 0.656

Length of kite string = 118.9 feet (Approx.)

Answer:

A

Step-by-step explanation:

The sum of two complementary angles is 90 degrees

x + 48 = 90

x = 90 -48

x = 42 degrees

Answer: 90.5

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

If you mean "what is the average of 94.2 and 87," that is found as follows:

 94.2 + 87

------------------ = 90.6

          2

We say, "the average" (or "the mean") of 94.2 and 87 is 90.6."  90.6 lies exactly halfway between 87 and 94.2.

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]

Answer:

Step-by-step explanation:

126/360 × pi× radius²= Area of the sector

Answer:

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6

Step-by-step explanation:

This is because as x → ∞

3x → 3∞ ,

Also, as x → ∞

4x → 4∞ ,

Also, as x → ∞

3x + 8  → 3∞ + 8,

Also, as x → ∞

4x + 3 → 4∞ + 3 ,

Also, as x → ∞

x² → ∞²,

Also, as x → ∞

x² + 6 → ∞² + 6

and 3∞ < 4∞ < 3∞ + 8 < 4∞  + 3 < ∞² < ∞² + 6

Thus as x → ∞

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6 in ascending order

Answer:

i am not 100% sure but i think it is

3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6

Step-by-step explanation:

I just got this because one of the other answers said replace x with infinite.  Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation:

Answer:

To solve this problem you have to multiply all of the coordinates by 2

So your answers are

(2,6) ---> (4,12)

(-4,-4) ---> (-8,-8)

(0,-6) ---> (0,-12)

Could you please make brainly :)

Hope this helps ;)

Step-by-step explanation:

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

Answer:

x = 12

Step-by-step explanation:

Leg 1 = 9

Leg 2 = x

Hypotenuse = 15

Using Pythagorean Theorem;

A² + B² = C²

9² + x² = 15²

81 + x² = 225

x² = 225 - 81

x² = 144

x = [tex]\sqrt{144}[/tex]

x = 12

Hope this helps!

Answer:

x ≈ 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.