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3 years ago

Which choice is equivalent to the quotient shown here when x>0?

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

The answer to your question is letter C.

Step-by-step explanation:

$\sqrt{50x^{3}}$ Find the prime factors of 50

50 2

25 5

5 5

50 = 2 5²

$\sqrt{5^{2} 2 x^{2} x} = 5 x\sqrt{2x}$

$\sqrt{32x^{2}}$ Find the prime factors of 32

32 2

16 2

8 2

4 2

2 2

32 = 2⁴2 $\sqrt{32x^{2}} = 2^{2} x\sqrt{2} = 4x\sqrt{2}$

Division $5x\sqrt{2}\sqrt{x} / 4x\sqrt{2}$

Simplification $\frac{5\sqrt{x}}{4}$

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Allie noticed that to get her test grade, she could take Valerie's grade, multiply it by 2 and subtract 15. If Valerie's test gr

kolbaska11 [484]

Answer is c) 2x - 15 because x is Valerie's grade

Allie's grade is <span>taking Valerie's grade, multiply it by 2 and subtract 15</span>

4 0

3 years ago

During a cold winter, the temperature stayed below zero for 10 days (ranging from −20 to −5). The variance of the temperatures o

Serjik [45]

Answer:

The variance of the temperatures of the 10 day period must be at least zero.

Step-by-step explanation:

The variance is the expectation of the squared deviation of a random variable from its mean. It measures how far a set of numbers are spread out from their average value.

Its unit of measure corresponding to the square of the unit of measure of the variable. In this case, the variance of the temperatures is expressed in (°C)². The variance has a minimum value of 0.

Since the variance is squared, it will always have values greater than zero.

5 0

3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

YALL HURRYY I NED HELP!

elena-s [515]

Answer:

A = correct equation

x = 60

Step-by-step explanation:

__+ 65 = 125

x + 65 = 125

x = 60

60 + 65 = 125

Hope it helps!

3 0

3 years ago

1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did

guajiro [1.7K]

Answer:

they received 2400 eggs.

Step-by-step explanation:

12 * 200 = 2400

7 0

3 years ago