50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

each number is being multiplied by -2 to get to the next number

Answer 2

A. -4/2 but if you factor it it will be -2


Related Questions

Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

[tex]-4x + 6 = 2x + 36[/tex]

Add -2x and -6 on both sides.

[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]

[tex]-4x-2x=36-6[/tex]

Combine like terms.

[tex]-6x=30[/tex]

Divide both sides by -6.

[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]

[tex]x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

Group like terms together:  On the right side we get 2x + 4x = 6x.  On the left side we get 6 - 36 = - 30.

Then 6x = -30, and x = -5.

Help asap please will give brainliest

Answers

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object.


r(t) = (9,t^3, e^-t), for t greater than or equal to 0

Answers

Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

which two of the following have the same value as 4.032?

Answers

Answer:D

Step-by-step explanation:

It’s D for sure

Answer:

A and D

Step-by-step explanation:

A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002

(These are the options for reference.) -->

We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandths

So, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct

B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.

C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.

D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->

thus, A and D are our answers.

Hope this helps!

I NEED HELP ASAP What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

Answers

27.1.

Using PEMDAS, and plugging in the operations, your answer would be 27.1

27.1 is the answer use pemdas is help you

THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL

Answers

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

80%

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place

Answers

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Please help with this

Answers

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x

Answers

Answer:

x+y:

16<x+y<19

y-x:

3<y-x<6

xy:

60<xy<84

y/x:

10/7<y/x<2

Step-by-step explanation:

For x+y, it'll be

  6<x<7

+

  10<y<12

=16<x+y<19

____

y-x:

  10<y<12

--

  6<x<7

because of the negative sign the x inequality is reversed so it is -7<x<-6

and then you do the math and get 3<y-x<5

________

xy:

   10<y<12

x

   6<x<7

you multiply and get 60<xy<84

________

y/x:

  10<y<12

divided by

  6<x<7

now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6

Please give me a brainliest award. This took so long. I hope this helped.

Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].

The solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, ...,4.9\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Given that:

[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]

To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.

[tex](6 < x < 7) + (10 < y < 12)[/tex]

This gives:

[tex]6 + 10 < x + y < 7 + 12[/tex]

[tex]16 < x + y < 19[/tex]

This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:

[tex]x + y= \{17,18\}[/tex]

To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.

[tex](10 < y < 12) - (6 < x < 7)[/tex]

This gives:

[tex]10 - 6 < y - x < 12 - 7[/tex]

[tex]4 < y - x < 5[/tex]

This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:

[tex]y - x = \{4.5, ...,4.9\}[/tex]

To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.

[tex](6 < x < 7) \times (10 < y < 12)[/tex]  

This gives:

[tex]6 \times 10 < x \times y < 7 \times 12[/tex]

[tex]60 < x \times y < 84[/tex]

[tex]60 < xy < 84[/tex]

This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:

[tex]xy = \{61,62,...83\}[/tex]

To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.

[tex](10 < y < 12) \div (6 < x < 7)[/tex]

This gives:

[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]

This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:

[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Hence, the solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, 4.9...\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Read more about inequalities:

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Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?

Answers

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Brittney is making a graph of the exam scores in intervals of ten for a group of students. Which type of graph would be the most appropriate for Brittney to use? A. line graph B. Venn diagram C. histogram D. circle graph

Answers

Answer: she needs histogram.

Answer: Brittney needs a Histogram.

Solve the equation 12x + 6y = 24 for x

Answers above

Answers

Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

Learn more about equations here:

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If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.

Answers

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.​

Answers

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

plz help me calculate this

Answers

Answer:

17

Step-by-step explanation:

the rise is the new minus the old.

9 - -8 = 9+8 = 17

Answer:

rise in temp= 17℃

Step-by-step explanation:

midnight= -8℃

noon= 9℃

9- (-8)= 17

rise in temp= 17℃

or you could just count the difference on your fingers.

-8, -7 ,-6........ 6, 7,8,9

Select the reason why these triangles are similar. If they are not, select “not similar”

Answers

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer

Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $

Answers

A common fraction is a fraction whose denominator is the same with another fraction.

[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

The expression is given as:

[tex]$\sqrt{x} \div\sqrt{y}[/tex]

Express as fraction

[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]

Rewrite as a common fraction

[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]

Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

Read more about common fractions at:

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someone please explain this to me!! i don’t understand how they got this answer??

Answers

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.​

Answers

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

What is a parallelogram?

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

How to solve the given question?

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

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What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30

Answers

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)

Answers

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

(-1,3) (-2,2) and (-5,-1)

Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2

Answers

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

Please help :) Is the relationship shown by the data linear? If so model the data with an equation.

Answers

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the

Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth

(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0

What one is it help me please

Answers

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

please help asap !!!!!!!!!

Answers

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

which of the following is the solution to the inequalitY
below. (-5x-10 <20)
A.x > -6
B. x > -2
C. x < -6
D. x < -2

Answers

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

3 - 9a =27 show work pls​

Answers

Hey there! :)

Answer:

a = -8/3

Step-by-step explanation:

Given:

3 - 9a = 27

Subtract 3 from both sides:

3 - 3 -9a = 27 -3

-9a = 24

Divide both sides by -9:

-9a/(-9) = 24/(-9)

a = -24/9

Simplify the fraction:

a = -8/3

Answer:

[tex]a = - \frac{8}{3} [/tex]

Solution,

[tex]3 - 9a = 27 \\ or \: - 9a = 27 - 3 \\ or \: - 9a = 24 \\ or \: a = \frac{24}{ - 9} \\ a = - \frac{8}{3} [/tex]

Hope this helps..

Good luck on your assignment..

Which function is equivalent to Y=-cot(x)?

Answers

I hope this helps you out

Answer:

d) y=(x+pi/2)

Step-by-step explanation:

edge 2020 correct & 100%

what is 2+3. if not answer get band

Answers

Answer:

5

hope your like this a swer

stay at home stay safe

bye bye

pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.

Answers

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Other Questions
What is the volume of the prism below? 8 7 5 Write a function SwapArrayEnds() that swaps the first and last elements of the function's array parameter. Ex: sortArray = {10, 20, 30, 40} becomes {40, 20, 30, 10)#include /* Your solution goes here */ int main(void) { const int SORT_ARR_SIZE = 4; int sortArray[SORT_ARR_SIZE]; int i; int userNum; for (i = 0; i < SORT_ARR_SIZE; ++i) { scanf("%d", &sortArray[i]); } SwapArrayEnds(sortArray, SORT_ARR_SIZE); for (i = 0; i < SORT_ARR_SIZE; ++i) { printf("%d ", sortArray[i]); } Which is not likely to be studied by a biologist? More than one component in a particular automotive electric circuit is not working. Technician A starts testing the circuit at the power source. Technician B starts testing the circuit at its load. Who is right? Company FM2 must pay 200,000 in 4 years. In order to fully immunized from changes in interest rate, the company invests in a 3 year zero coupon bond that matures for 90,000 and a 5 year zero coupon bond that matures for X. The actuary for Company FM2 determined that their portfolio fully immunized their ability to meet their obligations at the current interest rate i. Calculate X. Create a word problem that uses rates 1). What is the purpose of sexual intercourse?2). What is the percentage of people of pleasure themselves?Use complete sentences and the work above for hints. What is the volume of this aquarium? For ALL of yall who said the answer was letter D, was INCORRECT!!Someone tell me what the right answer isThanks in advance pls help, me, i nees to submit now look at the figure below: Hudson Corporation will pay a dividend of $3.60 per share next year. The company pledges to increase its dividend by 4.60 percent per year indefinitely. If you require a return of 7.00 percent on your investment, how much will you pay for the company's stock today A toy falls from a window 80 feet above the ground. How long does it take the toy to hit the ground? f(x) = x2. What is g(x)? 11. If AD = 8 centimeters, what is BD?A. 4 cmB. 6 cmC. 8 cmD. 10 cm Which community experienced severe health effects from massive industrial chemical dumping? A Love CanalB New York ClevelandC Ohio HarrisburgD Pennsylvania Wounded KneeSouth Dakota (Gradpoint History 11B Quiz: Era of Change) Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost of his pennies and Mia lost of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose? Read and choose the option that best answers the question. Hola, me llamo Victor y tengo diecisis aos. Vivo en Austin, Texas. En mi cumpleaos diecisis, tengo mi permiso de manejar y viajo a ver a mi primo Maximiliano en Argentina. Maximilano tiene dieciocho aos y l trabaja como conductor de taxi. En Argentina t puedes tener la licencia de manejar a los dieciocho aos. Tienes que usar el cinturn de seguridad y no puedes escribir en el telfono cuando manejas. Based on the text, what is a similarity between Victor and Maximiliano? Maximiliano has to wear a seat belt, unlike Victor. Neither Maximiliano nor Victor have to wear seat belts. Victor has to wear a seat belt, unlike Maximiliano. Victor and Maximiliano have to wear a seat belt. Select three side lengths, in centimeters (cm), that can form a right triangle. Use the Pythagorean Theorem.A. 5cmB. 6cmC. 8cmD. 10cmE. 11cmF.12cm Letm1, m2,mnbe distinct numbers on the number line, in the increasing order. Your goalis to color all of them blue. You have magical blue pens with the following property: Whenyou place the pen at co-ordinate x, all the points in the range [x - 5, x + 5] turn blue. Apen can be used only once. Give an algorithm to color all the points using as few pens aspossible. Prove the correctness of the algorithm and derive the runtime.