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3 years ago

Please help me with all

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

The answer to the question

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Write fourteen billion in scientific notation

nikdorinn [45]

Answer:

3.4 x 107

Step-by-step explanation:

6 0

3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

4 years ago

Another name for the x axis

aalyn [17]

Answer:

axis of abscissas

Step-by-step explanation:

8 0

3 years ago

Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the tab

ki77a [65]

Answer:

1/5

Step-by-step explanation:

Since the surveys are chosen with replacement (the first one is replaced before the second is chosen), the events are independent. This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60, since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60, since there are 9 surveys with 1 child out of a total of 60.

Together this gives us

8/60(9/60) = 72/360 = 1/5

3 0

4 years ago

Read 2 more answers

Need help with this math question!

In-s [12.5K]

Answer:

Step-by-step explanation:

$\dfrac{y}{32}=\dfrac{16}{10}\qquad\text{cross multiply}\\\\10y=(32)(16)\\\\10y=512\qquad\text{divide both sides by 10}\\\\\dfrac{10y}{10}=\dfrac{512}{10}\\\\y=51.2$

5 0

3 years ago