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Allisa [31]
3 years ago
12

What is the following simplified product? Assume x greater-than-or-equal-to 0

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

Answer:

  10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}

Step-by-step explanation:

Remove perfect squares from under the radicals.

  (\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}

_____

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  √(a^2) = a . . . . . . . for a > 0

  (√a)(√b) = √(ab)

lapo4ka [179]3 years ago
4 0

Answer:

See attached.

Step-by-step explanation:

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The U.S. RDA for protein for a girl is 46 g. If a piece of friedchicken contains 23 g, how many pieces would the girl have to ea
Nataliya [291]

The U.S RDA for protein is 46g for girl

If a piece of fried chicken contains 23g

To find the pieces of chicken she is to eat to satisfy the U.S RDA requirement,

The number of pieces of chicken is

\text{Number of pieces}=\frac{U.S.\text{ RDA g protein required for a girl}}{g\text{ of protein in a piece of chicken}}

The number of pieces of chicken is

\begin{gathered} \text{Number of pieces of chicken}=\frac{46}{23}=2\text{ pieces of chicken} \\ \text{Number of pieces of chicken}=2\text{ pieces of chicken} \end{gathered}

Hence, the right option is B

6 0
1 year ago
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by t
valentina_108 [34]

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

6 0
3 years ago
What is the size of the matrix resulting from
kogti [31]

Answer:

1×3 or 3×3 I think...........

7 0
3 years ago
Read 2 more answers
PLEASE HELP
Dmitrij [34]
If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!
7 0
3 years ago
jake scored 2 goals in soccer this season. jamie scored 4 times as many goals as jake. Edgar scored 3 times as many goals as jam
JulsSmile [24]

Answer:

24

Step-by-step explanation:

2x4 = 8 8x3 = 24 so edgar has 24 goals

3 0
3 years ago
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