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3 years ago

Can someone help me? It's urgent and thank you!

Mathematics

2 answers:

qaws [65]3 years ago

5 0

The answer is option B

Because your first step is to reduce the expression with x^2 then you would multiply the fractions to get your answer

kondor19780726 [428]3 years ago

3 0

Step-by-step explanation:

=45x^3/42x^2

=15x/14 is correct answer

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48 cubed as a product of its prime factors

Novosadov [1.4K]

48 cubed = 48*48*48

Find factors of 48:
12 and 4
12*4=48

Neither of those numbers are prime factors so we have to break both of then down further.

Find prime factors of 4:
2*2=4

Find factors and prime factors of 12:
12= 4*3
3 is a prime factors but 4 is not. Break down 4 again and get 2*2*3=12

So put that all together and get the prime factors of 48, they are:
2*2*2*2*3

The prime factor of 48 cubed is the same thing as the prime factor of 48 three times

The prime factors are:
2*2*2*2*2*2*2*2*2*2*2*2*3*3*3
(12 2's and 3 3's)

6 0

3 years ago

Find the average height of the building shown in the table 1.667 1.483 1.483 1.451 1.381

madreJ [45]

Add them all up and then divide by 5. The answer is 1.493

3 0

3 years ago

Read 2 more answers

Write a quadratic function in vertex form for the function whose graph has it's vertex at (5,4) and passes through the point (7,

Ivenika [448]

y = - $\frac{3}{4}$ (x - 5)² + 4

the equation of a quadratic in standard form is

y = a(x - h)² + k ( where (h , k ) are the coordinates of the vertex and a is a multiplier )

given vertex = ( 5, 4 ) then

y = a(x - 5)² + 4 ( to find a substitute (7 , 1 ) into the equation )

1= 4a + 4

4a = - 3 ⇒ a = - $\frac{3}{4}$

y = - $\frac{3}{4}$ (x - 5)² + 4 ← ( in vertex form )

8 0

3 years ago

Classify each number below as a rational number or an irrational number

klemol [59]

Π - Irrational

Square Root of 16 - Rational

Negative Square Root of 17- Irrational

-48.39 - Rational

-97.97 Repeating - Rational

8 0

3 years ago

g An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single b

Fed [463]

Answer:

Therefore the of blue in the second urn is 4.

Step-by-step explanation:

Let second urn contain x number of blue ball .

Urn Red Ball Blue Ball Total Ball

1 4 6 10

2 16 x 16+x

Getting a red ball from first urn is $P(R_1)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}$ $=\frac{4}{10}$

Getting a blue ball from first urn is $P(B_1)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}}$ $=\frac {6}{10}$

Getting a red ball from second urn is $P(R_2)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}$ $=\frac{16}{16+x}$

Getting a blue ball from second urn is $P(B_2)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}}$ $=\frac {x}{16+x}$

Getting two red balls from first and second urn is $=\frac{4}{10}\times \frac{16}{16+x}$

$=\frac{32}{5(16+x)}$

Getting two blue balls from first and second urn is $=\frac{6}{10}\times \frac{x}{16+x}$

$=\frac{3x}{5(16+x)}$

The probability that both balls are the same in color is $=\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}$

Given that the probability that both balls are the same in color is 0.44.

According to the problem,

$\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}=0.44$

$\Rightarrow \frac{32+3x}{5(16+x)} =0.44$

$\Rightarrow \frac {32+3x}{(80+5x)} =0.44$

$\Rightarrow 32+3x =0.44(80+5x)$

$\Rightarrow 32+3x =35.2 +2.2x$

$\Rightarrow 3x -2.2 x= 35.2 -32$

$\Rightarrow 0.8x= 3.2$

$\Rightarrow x = 4$

Therefore the of blue in the second urn is 4.

5 0

3 years ago