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3 years ago

Someone plz help me with this

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

$5y^{6}\sqrt{2}$

Step-by-step explanation:

We want to simplify:

$\sqrt{50y^{12}}$

We rewrite as:

$\sqrt{2\times25 \times (y^{6})^2}$

We split the radical sign to obtain:

$\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}$

Simplify the square root for the perfect squares to get:

$5y^{6}\sqrt{2}$

Therefore the simplified form is: $5y^{6}\sqrt{2}$

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What is the equation of this graph

Soloha48 [4]

Answer:

Step-by-step explanation:

hello :

an equation of this graph is : f(x) = a(x-h)²+k when (h,k) the vertex

so : h=5 and k= -4

f(x) = a(x-5)²-4....... now calculate : a

the y- intercept is : - 6.5 means : f(0) = - 6.5

put x=0 and f(x) = - 6.5

you have : -6.5 = a(0-5)²-4

-6.5 = 25a - 4

25a = -2.5 so : a= -2.5/25= 1/10

the equation is :

5 0

3 years ago

Enter your answer in scientific notation

Oxana [17]

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

<h3>How do scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about $5.1 \times 10 ^9$ km from the sun.

Light travels at about $3.0 \times 10 ^5$ km per second.

$\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}$

= $1.7 \times 10 ^4$

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ1

4 0

2 years ago

Complete the following sentence. The slope of the graph of y = 5 x is ___

Y_Kistochka [10]

Answer:

We conclude that the slope of the graph of y = 5 x is 5.

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = 5x

comparing with the slope-intercept form of the line equation

The slope of the line = m = 5

Therefore, we conclude that the slope of the graph of y = 5 x is 5.

4 0

3 years ago

Two cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the second

Svetllana [295]

Answer:

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw= $\frac{12}{52}$

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw= $\frac{11}{51}$

The probability that the second card is a face card if it’s known that the first card was a face card = $\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497$

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

4 0

3 years ago

Which function has a domain

Novosadov [1.4K]

Answer:

F(x) = - $\sqrt[3]{x}$

Step-by-step explanation:

A square root can only have a positive input for the domain

(The domain is the input for the function)

The cube root can be either negative or positive as an input

F(x) = - $\sqrt[3]{x}$ can have inputs from negative infinity to infinity

5 0

2 years ago