Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.

Answer:

hope this helps

The solution is 3,27,680

The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the geometric sequence be a₁ = 20

Let the second term a₂ = 80

So , the common ratio r = second term / first term

On simplifying the equation , we get

Common ratio r = 80/20

Common ratio r = 4

Now , the explicit formula for the GP is

aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours

aₙ = 20 ( 4 )ⁿ⁻¹

So , after 8 hours ,

Substitute the value of n = 8 in the equation , we get

a₈ = 20 ( 4 )ⁿ⁻¹

a₈ = 20 ( 4 )⁷

a₈ = 3,27,680

Therefore , the value of a₈ = 3,27,680

Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹

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Answer:x= 9

Step-by-step explanation:

-4(x+5) = 16

-4*x= -4x -4*5= -20

16 - -20= 36

-4x/-4= x 36/-4=9

Answer:

the person above is right it's 4.5 units

give them the crown

Answer:

92

Step-by-step explanation:

5 times 18=90

90+2=92

you do times first because order of operations.

Answer:

92

Step-by-step explanation:

goodluck

Answer:

i dont see a picture?

Step-by-step explanation:

Step-by-step explanation:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

Answer:

i think it is 141.4

Step-by-step explanation:

Answer:

the sum of three consecutive odd number is less than 54.

Step-by-step explanation:

Given

x² - 9x + 20 = 0

x² - ( 4 + 5) x + 20 = 0

x² - 4x - 5x + 20 = 0

x ( x - 4 ) - 5 (x - 4 ) = 0

(x - 4 ) ( x - 5 ) = 0

Either

x - 4 =0

x = 4

or

x - 5 =0

x = 5

x = 4 and 5

Hope it will help :)

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Answer: hope this helps. Check out the image.. and can u give me brainliest pls and I also have explanation

Step-by-step explanation:

Answer:

28:32:36

Step-by-step explanation:

you add the ratios up all together and divide your answer by 96 the answer you get there you multiply it with the ratios

Answer:

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to  side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,  

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side.  On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X .  ANSWER

Answer:

There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 4[/tex]

The alternate hypothesis is:

[tex]H_{1} < 4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]

[tex]z = -1.33[/tex]

[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.

0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Answer:

d.c=-2

Step-by-step explanation:

Answer:  A. c=-2

Step-by-step explanation:

4c + 10 = 2

4c = -8

c = -2

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

Answer:

(-3,4),(5,4),(5,-4),(-3,-4)

Step-by-step explanation:

I mean its plotting

Answer:

[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]\frac{6}{\sqrt 2}[/tex]

Required

Rationalize

[tex]\frac{6}{\sqrt 2}[/tex]

To do this, we simply multiply by [tex]\frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\frac{6}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

This gives:

[tex]\frac{6 * \sqrt 2}{\sqrt 2 * \sqrt 2}[/tex]

[tex]\frac{6 \sqrt 2}{2 }[/tex]

[tex]3\sqrt 2[/tex]

Hence:

[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]

Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

Answer:

im gussing sorry if its wrong :(

Step-by-step explanation:

1=a

2=d

3=b

4=c

I do know the first figure is 24 square feet.

To get your answer,

Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.

Image Form:

l x w = a

(length x width = area)

I hope this is a clear explanation!

Answer:

first one is 24

second one is 12

third one is 9

fourth one is 18

Step-by-step explanation:

Answer:

15 + 2 = 17

Step-by-step explanation:

Expand the polynomial using the FOIL method.

3 x 2 + 17 x + 10

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

The height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

It is given that:

A cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec

As we know,

The volume of the cylinder is given by:

V = πr²h

Let V is the water draining rate

V = 0.25 ft³/sec

The radius r = 2.5 feet

0.25 ft³/sec = π(2.5 feet)²(h)

h = [0.25/(2.5²π)]  [ft³/(sec×feet²]

h = 0.012  ft/sec

Thus, the height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

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Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

Answer:

I don't know why that would be. I think you can contact they for customer support but I am not sure.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The end behavior of the graph of q(x) is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞ option (C) is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

We have a polynomial shown in the picture:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

The above polynomial is an eight-degree polynomial and the curve of the polynomial will be a curve graph.

After plotting the graph of a polynomial function we will see:

x → ∞

q(x) → -∞

x → -∞

q(x) → -∞

Thus, the end behavior of the graph of q(x) is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞ option (C) is correct.

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Answer:

A

Step-by-step explanation:

its a bec count how many student are their an see if they add IP to 30

The Venn diagram which shows the number of students who play basketball and baseball is option A.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Let A denotes the students playing baseball and B denotes the student playing basketball.

N(A) = 18

N(B) = 17

N(A ∪ B) = 30

We know,

N(A ∩ B) = N(A) + N(B) - N(A ∪ B)

              = 18 + 17 - 30

              = 35 - 30

              = 5

Number of students who play both baseball and basketball = 5

Number of students who plays only baseball = 18 - 5 = 13

Number of students who plays only basketball = 17 - 5 = 12

This is shown in A.

Hence the correct option is A.

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Answer:

4.5

Step-by-step explanation:

first girl took 20 mins walking 1 mile

second girl took 30 mins walking 1.5 miles

third girl took 40 mins walking 2 miles