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3 years ago

What is one fourth of 36,500,000 in scientific notation

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

9.125 × 10^6

Step-by-step explanation:

36,500,000 ÷ 4 = 9,125,000 = 9.125 × 10^6

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The image shows a geometric representation of the function f(x) = x^2 + 2x + 3 written in standard form. What is this function w

AlekseyPX

Answer:

f(x) = (x + 1)² + 2 in vertex form ⇒ 3rd answer

Step-by-step explanation:

* Lets revise how to find the vertex form the standard form

- Standard form ⇒ x² + bx + c, where a , b , c are constant

- Vertex form ⇒(x - h)² + k, where h , k are constant and (h , k) is the

vertex point (minimum or maximum) of the function

- At first we must find h and k

- By equating the two forms we can find the value of h and k

* Lets solve the problem

∵ f(x) = x² + 2x + 3 ⇒ standard form

∵ f(x) = (x - h)² + k ⇒ vertex form

- Put them equal each other

∴ x² + 2x + 3 = (x - h)² + k ⇒ open the bracket power 2

∴ x² + 2x + 3 = x² - 2hx + h² + k

- Now compare the like terms in both sides

∵ 2x = -2hx ⇒ cancel x from both sides

∴ 2 = -2h ⇒ divide both sides by -2

∴ -1 = h

∴ The value of h is -1

∵ 3 = h² + k

- Substitute the value of h

∴ 3 = (-1)² + k

∴ 3 = 1 + k ⇒ subtract 1 from both sides

∴ 2 = k

∴ The value of k = 2

- Lets substitute the value of h and k in the vertex form

∴ f(x) = (x - -1)² + 2

∴ f(x) = (x + 1)² + 2

* f(x) = (x + 1)² + 2 in vertex form

5 0

4 years ago

73 = −6(k − 7) + 6(k + 5)

alexandr402 [8]

Answer: 7

Step-by-step explanation: Mark me brain and 5 stars and a thank you

3 0

3 years ago

Read 2 more answers

In a factory, a manager tests 250 products and finds defects in 7 of them. How many defects are likely going to be in a 10,000 u

Natalka [10]

Answer:

280

Step-by-step explanation:

first make a proportion. 7 over 250= x over 10,000. cross multiply to get 250x=70,000. 70,000 divided by 250 which gets you 280.

7 0

4 years ago

In parallelogram ABCD, the measure of angle A = 3x and the measure of angle B = x + 10.

densk [106]

Answer: 42.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The average speed of a car driving down freeway is 70mph with a standard deviation of 5mph. Thid speed is normally distributed.

ikadub [295]

Answer:

0.081,0.2621,0.645,0.919

Step-by-step explanation:

Let X be the average speed of a car driving down freeway

Given that X is normal with mean as 70mph with a standard deviation of 5mph.

To convert to Z score we do

$Z =\frac{x-70}{5}$

a) the probability that a randomly selected car is driving more than 77mph

$=P(X>77)\\=P(Z>1.4)\\=0.081$

b) probability that a randomly selected car is driving between 65 and 69 mph

= $P(-1$

c) the probability that a randonly selected car is driving between 67 and 77mph

= $P(-0.6$

d) the probability that a randomly selected car is driving less than 77mph

$=P(Z$

5 0

3 years ago