What is the next term of the following sequence?


20, 10, 5, 21/2, ...

Answer:

  x=4 and x=-4

Step-by-step explanation:

We assume you intend ...

  y = (x^2 +5x +6)/(x^2 -16)

There will generally be points of discontinuity where the denominator is zero. Sometimes a denominator factor will be cancelled by a numerator factor, but the "hole" remains and there is still a discontinuity there.

Here, the denominator factors as the difference of squares:

  x^2 -16 = (x -4)(x +4)

There will be discontinuities where these factors are zero, at x=4 and x=-4.

Answer:

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

Step-by-step explanation:

got you bro

Answer:

y = -2x² -12x + 32.

Step-by-step explanation:

Recall that a quadratic equation in standard form is:

y = ax² + bx + c.

To rewrite the equation in standard form, you will need to FOIL and distribute the -2. This can be done by:

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

FOIL the factored part of the equation. Ignore the '-2' for now.

y = -2 (x² +6x -16)

Now, multiply the '-2' with all of the terms:

y = -2x² -12x + 32.

This is your equation in standard form!

Answer:

[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We are given that:

[tex]sin 60^\circ = \dfrac{\sqrt{3}}{2}[/tex]

We need to find

[tex]sin 240^\circ = ?[/tex]

240 is greater than 180 and lesser than 270

OR

[tex]180^\circ<240^\circ<270^\circ[/tex]

So, Angle [tex]240 ^\circ[/tex] lies in the 3rd quadrant and it is well known that value of sine in 3rd quadrant is negative.

Using the property :

[tex]sin(\pi + \theta) = -sin\theta[/tex] or

[tex]sin(180^\circ + \theta) = -sin\theta[/tex]

Here, [tex]\theta\ is\ 60^\circ[/tex].

[tex]sin 240^\circ =sin(180^\circ + 60^\circ) = -sin60^\circ\\\Rightarrow -\dfrac{\sqrt{3}}{2}[/tex]

Hence, the value

[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]

Answer:

A

Step-by-step explanation:

it has 3 lines of symmetry

Answer:

both i think dont be mad if its not right im stressed right now

Step-by-step explanation:

Answer:

the answer is d: y=-2x-10

Answer: 3.79622731403

Step-by-step explanation:

Answer:

The answer is 410

Step-by-step explanation:

10 x 7 x 3 + 10 x 10 x 2 = 410

Answer:

Step-by-step explanation:

4.35 x 10-4

(Scientific Notation)

Answer:

4.353*10^-4

Step-by-step explanation:

Def. of scientific notation

Hey!!!

Answers:

1. {d}

2. {a,d,g,f}

3.{g,e,f}

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

Answer:

The volume of a sphere:

[tex]V \approx 3053.628[/tex] [tex]cm ^3[/tex]

        or

[tex]V \approx 3053.63[/tex] [tex]cm^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-To find the volume of sphere, you need this formula to help you solve the problem:

[tex]V = \frac{4}{3} \pi r^3[/tex]

-Use the given radius [tex]9[/tex] for the formula:

[tex]V = \frac{4}{3} \pi 9^3[/tex]

-Then, you solve:

[tex]V = \frac{4}{3}\pi \times 9^3[/tex]

[tex]V = \frac{4}{3} \pi \times 729[/tex]

[tex]V = \frac{4 \times 729}{3} \pi[/tex]

[tex]V = \frac{2916}{3} \pi[/tex]

[tex]V = 972\pi \approx 3053.628[/tex] [tex]cm^3[/tex]

-Round up to the nearest hundredth if needed:

[tex]V = 3053.63[/tex] [tex]cm^3[/tex]

Answer:

B

Step-by-step explanation:

Alex showed me that it was correct

Answer:

B

Step-by-step explanation:

numericaly organize data based on their digits to compare value

Answer:

Angle measures, size, shape, position of center of rotation.

Step-by-step explanation:

Rotation is a rigid motion, meaning the angle measures, size, and shape are preserved. Also, since we are rotating around the center, the center would stay the same. So the answer is angle measures, size, shape, position of center of rotation.

When a shape is rotated, it must be rotated through a center.

Angle measures , the size , the shape , and the position of center of rotation do not change after rotation

Rotation is a rigid transformation.

This means that, rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.

Except the center of rotation is changed to perform another rotation, the rotation does  not change the center of rotation.

Hence, all except orientation remain unchanged after a rotation.

Read more about rotation at:

https://brainly.com/question/1571997

Answer:

It Should be (-infinity, + infinity)

Step-by-step explanation:

Answer:  4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

The subtraction property of equality states that f a = b, then a − c = b − c. Subtracting 5 from both sides of the given equation gives 4(x + 9) = 4x − 8 − 5.

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

There is only one R in the bag

So the probability would be 1/6

1/6 as a decimal is 0.16

Thus, your answer would be option D

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Answer: -4

Step-by-step explanation: Let me know if you need an explanation.

Answer:

(0,1/2)

Step-by-step explanation:

When X=0, Y=0.5, or 1/2

1/2=0+1/2

Answer:

(0, 1/2)

Step-by-step explanation:

y = x + 1/2

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 1 and the y intercept is 1/2

(0, 1/2)

Answer:

8 large candles

Step-by-step explanation:

If all the candles were large candles,

Amount received

= 20( $27.98)

= $559.60

Difference in amount received

= $559.60 -$355.60

= $204

Difference in the cost of a small candle to a large candle

= $27.98 -$10.98

= $17

Number of small candles

= $204 ÷$17

= 12

Thus, number of large candles

= 20 -12

= 8

Let's check!

Amount received

= 8( $27.98) +12( $10.98)

= $355.60 ✓

Answer: Graph A or answer D is correct

Answer:

15 and 5

Step-by-step explanation:

15:25::3:5

so, extreme are the terms which the underlined

Answer:

15, 5

Step-by-step explanation:

The outer terms in a ratio are called extremes. The outer terms here are 15 and 5 while the inner terms or means are 25 and 3.

Answer:

the answer would be d. if i am correct

Answer: A liquid measuring cup has less liquid than the cup.

Step-by-step explanation: 3785/16=236.5625

Thus, would be less.

Hope this helps <3

-Carrie

P.S. please mark brainliest!

It is found that liquid measuring cup has less liquid than the cup.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that 16 liquid measuring cups in a gallon. If a gallon contains 3,785 milliliters,

Therefore, we need to divide the 3,785 milliliters, with the liquid measuring cups

So, 3785/16=236.5625

Thus, That would be less.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

Answer: 1.8

Step-by-step explanation: I’m not entirely sure about this, but it probably is 1.8 because I don’t think the slant would change the volume, though I may be wrong

Answer:

1.8 cubic inches

Step-by-step explanation:

The perfectly vertical stack has a volume of 1.8 cubic inches. Therefore, another stack with the same amount would have the same volume, regardless of whether or not it is slanted.

Answer: 23 cm squared

Step-by-step explanation:

Since the area of each square is 1 cm squared.

We can count up the number of squares which will be the total area.

There are 23 squares so the area of the region is 23 cm squared.

Answer: 23 cm²

Step-by-step explanation:

Since the squares are each 1 cm × 1 cm, you can technically count all the shaded squares, but it is good to do it mathematically.

We can separate this shape into 1 parts. The top part sticking up is a square and the bottom, a rectangle. We find the area for both parts and add them together.

Square:

3 cm × 3 cm = 9 cm²

Rectangle:

2 cm × 7 cm = 14 cm²

Total:

9 cm² + 14 cm² = 23 cm²

Answer:

55°

Step-by-step explanation:

y+x=180°

25°+30°+x=180°

25°+30°=y

y=55°

*Exterior Angle Theorem*

Sorry for the lack of explanation. It's midnight, so I didn't have much time.

Answer:

800

Step-by-step explanation:

each share is worth 10 more dollars 80x10=800