Use complete sentences to describe the relationship between the two sets A and B If A CB.

Could someone please explain and answer these? Thank you!

Rufina [12.5K]

Question 1/ First image

Answer:

G, $a=\sqrt{7}$

Step-by-step explanation:

To get to the correct solution we have to perform a series of manipulations on the equation we are given.

Step 1

We divide both side by $3\sqrt{7}$ to get the equation,

$\frac{1}{a\sqrt{7} } =\frac{1}{7}. \\$

Step 2

In this step , we multiply both sides by $a\sqrt{7}$ to yield the result shown below,

$(a\sqrt{7})\times \frac{1}{a\sqrt{7} } =(a\sqrt{7})\times\frac{1}{7} \\\\\implies 1=\frac{a\sqrt{7} }{7} \\\implies 7= a\sqrt{7} \\\implies a=\frac{7}{\sqrt{7} }. \\$

Step 3

The next step is to multiply both numerator and denominator by $\sqrt{7}$ to yield the result below,

$a=\frac{7\sqrt{7} }{\sqrt{7} \sqrt{7} } \\\\\implies a= \frac{7\sqrt{7} }{7} \\\implies a= \sqrt{7}.$

Clearly, the correct answer is $a=\sqrt{7}.$

Question 2/Image 2

Answer:

The correct answer is G. $12,167.

Step-by-step explanation:

The way to solve this problem is to substitute the values of $P=10\,000, n=5, r=\frac{4}{100}=0.04$ in to the equation $A=P(1+r)^n$ and then round up the value. This calculation is shown below,

$A=P(1+r)^n\\A=10\,000(1+0.04)^5\\A=12\,166.529024\\A\approx 12\,167.$

The correct answer is G.$12,167.

Question 3/Image 3

Answer: The correct Answer is H. $4x^2-7$

Step-by-step explanation:

The way to compute the correct result is to realize that we are dealing with composition of functions. In this case, the function $f(x)$ sees $g(x)$ as it's input. The calculation that yields the correct result is shown below,

$f(g(x))=4(x^2-2)+1\\f(g(x))=4x^2-8+1\\f(g(x))=4x^2-7.$

The correct answer is H. $4x^2-7.$

6 0

3 years ago

If the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?

disa [49]

1 paket bisküvinin maliyeti Rs. 17.50 ise, 8 paket bisküvinin maliyeti nedir?

5 0

3 years ago

How do u know that the sum of -2(3/4) and 5/9 is rational?

harina [27]

Answer:

Ok thanks, im sorry, i have no points lol! I just needed to answer some questions to make a question. :( Thanks for understanding

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP !! it’s for math ...

vaieri [72.5K]

Answer:

Step-by-step explanation:

sum of angles of a triangle= 180°

x+2x+2x+10=180

5x+10=180

5x=170

x=170/5

x=34

.:

x=34°

2x=34×2=68°

2x+10=2×34+10=68+10=78°

3 0

3 years ago

Read 2 more answers

Select all the numbers that are rational.

anygoal [31]

Answers:

C, D, E

Step-by-step explanation:

A rational number is a integer. It is also a terminating or repeating decimal.

A rational number can be written as a fraction of two integers.

Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.

Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.

Answer C is rational because it has a terminating decimal.

D and E are integers, which also can be written as fractions.

Out of the options given, C, D, and E have rational numbers, while all others do not.

The answers are C, D, and E.

3 0

3 years ago