Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?

Answer: E

noon to 6 pm is 6 hours which is 360 minutes

divide 360 by 40 to get the number of times it doubles which is 9 times so it’ll be 2 to the ninth power (2 is there since your doubling the number of bacteria)

multiply that by 10 since that was how many bacteria there was at the beginning

10 x 2^9 = 5120

5120 bacteria will be there at 6 PM.

This question is an example of geometric progression, in which a bacteria colony has growing population that is multiplying itself at constant rate. The geometric progression is defined by this expression:

[tex]n (t) = n_{o} \cdot r^{\frac{t}{\tau} }[/tex] (1)

Where:

If we know that [tex]n_{o} = 10[/tex], [tex]r = 2[/tex], [tex]\tau = 40\,min[/tex] and [tex]t = 360\,min[/tex], then the population of bacteria at 6 PM is:

[tex]n(360) = 10\cdot 2^{\frac{360}{40} }[/tex]

[tex]n (360) = 5120[/tex]

5120 bacteria will be there at 6 PM.

We kindly invite you to check this question related to geometric progression: https://brainly.com/question/24540317

Answer: -12

Step-by-step explanation:

4 1/2-5 1/8= -5/8 divided by 7 1/2

= -12

Hope this helped!!<3

Answer:

-12

Step-by-step explanation:

4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1  + 3/8 = -5/8

7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12

9514 1404 393

Answer:

Step-by-step explanation:

Assuming you're interested in the number of each that were sold, the system of equations will express the relation for total sold, and the relation for total revenue. We have used the variable c and p to represent numbers of cakes and pies sold, respectively. Your choices may use x and y, instead.

__

The solution can be found by subtracting 6 times the first equation from the second. That tells you 6 cakes were sold, hence 4 pies.

Answer:

a) 30% probability that it will not be colder today than it was yesterday

b) 90% probability that it will not be warmer today than it was yesterday

Step-by-step explanation:

In this question, we have that:

0.1 = 10% probability it will be warmer today than yesterday.

0.7 = 70% probability it will be colder today than yesterday.

a .What is the probability that it will not be colder today than it was yesterday?

70% probability it will be colder, so 100 - 70 = 30% probability that it will not be colder today than it was yesterday.

b What is the probability that it will not be warmer today than it was yesterday?

10% probability it will be warmer today than yesterday, so 100 - 10 = 90% probability that it will not be warmer today than it was yesterday

Answer:

8,436,300 cm

Step-by-step explanation:

[tex]multiply \: the \: value \: by \: 10000[/tex]

[tex]84.363 \times 10000 \: \\ = 8436300 \: cm[/tex]

[tex] ∴there\: 8436300 \: cm \: in \: 84.363 \: km \: [/tex]

Answer:

a = 0, -10

Step-by-step explanation:

I think this is correct but it may not be.

Answer:

Step-by-step explanation:

a(10+a)=0 or - i cant remember which one it was but hope this helps

Answer:

h = 7.4 m

Step-by-step explanation:

Given that,

A bird fountain is located 6 m from the base of Joey's apartment building.

The angle of depression is 51°.

Let Joey's window is at a distance of h from the building. Using trigonometry to find it such that,

[tex]\tan\theta=\dfrac{h}{6}\\\\\tan(51)=\dfrac{h}{6}\\\\h=6\times \tan(51)\\\\h=7.4\ m[/tex]

So, the correct option is equal to (b).

Answer: 7.4 m

Step-by-step explanation:

I just took the test

Answer:

https://brainly.com/question/23195326

Step-by-step explanation:

Answer:

4000 miles an hour

Step-by-step explanation:

32000 ÷ 8 = 4000 miles an hour

Answer:

wait what?

Step-by-step explanation:

Answer:

Hi! The answer to your question is A. 24

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!!

- Brooklynn Deka

Answer:

≈107

Step-by-step explanation:

58.311 will round down since 0.311 is less than half or 0.5. It will become 58. 49.35 will also round down since 0.35 is less than 0.5. This will be 49. 58+49=107. Since 107 is not the exact answer, you will use the approximately sign, or ≈.

Answer:

28,30,39,45,47 and 48

Step-by-step explanation:

add 8 to all nubers

Answer:

x = 5.5

Step-by-step explanation:

5+6 = 11

[tex]\frac{2.5}{x}[/tex]=[tex]\frac{5}{11}[/tex]

cross multiply

5x = 27.5

x = 5.5

9514 1404 393

Answer:

  13%

Step-by-step explanation:

The probability is the product of the individual probabilities.

  p(baking | rainy weekend) = 0.90

  p(rainy weekend) = p(rain | weekend) × p(weekend) = 0.50×0.29 = 0.145

Then ...

  p(baking) = p(baking | rainy weekend) × p(rainy weekend) =

  0.90 × 0.145 = 0.1305 ≈ 13%

Answer:

n - 6 > 2 n > 8

Step-by-step explanation:

You can get inequalities that are false for any variable. These inequalities have no solution. You can also get inequalities that are true for any variable. These have an infinite number of solutions.

I think sorry if I'm not right.

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

Answer:

X=-2, y=3

Step-by-step explanation:

Answer:

B - The second data set.

Step-by-step explanation:

The median is the number in the middle.

The first set's median is 16.

The second's is 15.

The third's is 14.

The fourth's is 16.

The answer is the second data set :)

Answer:

B

Step-by-step explanation:

B

Answer:

i think it is b I hope it is right

Answer:

D. 28.54% and 57.46%

Step-by-step explanation:

Plato

Answer:

2 7/8

Step-by-step explanation:

3 3/8- 4/8 = 2 7/8

The probability of pulling a red marble and then pulling a green marble is,

⇒ 3 / 5

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

You pull a marble from a bag with 20 red 20 white and 10 green marbles.

Here, Total number of marbles = 20 + 20 + 10

                                                = 50

Thus, The probability of pulling a red marble is,

⇒ 20 / 50

⇒ 2 / 5

And, The probability of pulling a green marble is,

⇒ 10 / 50

⇒ 1 / 5

Therefore, The probability of pulling a red marble and then pulling a green marble is,

⇒ 2 / 5 + 1 / 5

⇒ 3 / 5

Learn more about the probability visit:

https://brainly.com/question/13604758

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Answer:

x > 5

Step-by-step explanation:

–3(2x – 5) < 5(2 – x)

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

x > 5

Answer:

(5+7)/2 = 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

median is the middle number, or in this case the sum of the middle number divided by 2

5 + 7 = 12/2

6

Answer:

Mean: 5, Median: 5, Mode: 5,  Range: 4

Step-by-step explanation:

Mean: 5

5 + 4 + 6 + 3 + 7 + 5 = 30

30/6 = 5

Median: 5

3, 4, 5, 5, 6, 7,

Mode: 5

3, 4, 5, 5, 6, 7

2 fives

Range: 4

7 - 3 = 4