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2 years ago

Simplify the following 2y^4 x 5y^3

Mathematics

2 answers:

sveta [45]2 years ago

5 0

Answer:

10 $y^{7}$

Step-by-step explanation:

2 $y^{4}$ · 5y³

10 $y^{3}+y^{4}$

10 $y^{7}$

adelina 88 [10]2 years ago

3 0

Answer:

10y^7

Step-by-step explanation:

because 2x5=10

and when multiplying with powers you add the powers together so 4+3=7

now you have 10y^7

hope this helped!!

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.

DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

$5_b \cdot 23_b = 151_b$

The easiest way to approach this is to convert all the numbers to base 10.

$5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0$

$b^2-5b-14=0$

Next, we factorize the resulting expression.

$b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2$

The positive value of b for which the equality hold is 7.

3 0

2 years ago

What is the measure of A

Art [367]

Answer:

66+x=180°

=180°-66°

=114°

4 0

3 years ago

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or wal

stiks02 [169]

I’m pretty sure the answer is C ( 200)

8 0

3 years ago

Read 2 more answers

A ball is thrown into the air with an initial velocity of 22 meters per second.

lbvjy [14]

Answer:

27.4 metres

Step-by-step explanation:

Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5

= -4.9(3)^2+22(3)+5.5

= 27.4

At 3 seconds the ball is 27.4 metres above the ground.

8 0

2 years ago

Find the product of all positive divisors of 288.

irinina [24]

Answer:

The answer is 1.514571894×10^21.

Step-by-step explanation:

Here, the divisors of 288 are,

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.

now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288

=1.514571894×10^21.

is answer. 

Hope it helps...

6 0

2 years ago

Read 2 more answers