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3 years ago

What is the value of the expression 2 + 32 ⋅ (4 − 1)? A: 24 B: 29 C: 33 D: 37

Mathematics

2 answers:

Anna35 [415]3 years ago

4 0

Answer: the answer is B. 29

Step-by-step explanation:

Paul [167]3 years ago

3 0

For this case we have the following expression:

$2 + 3 ^ 2 * (4 - 1)$

Rewriting the expression we have:

1) First we subtract the numbers within the parenthesis:

$2 + 3 ^ 2 * (3)$

2) Then, we solve the exponents:

$2 + 9 * (3)$

3) Then, multiplication:

$2 + 27$

4) Finally, the addition of numbers is made:

$29$

Answer:

the value of the expression is:

B: 29

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75 = 4(2)^x

Valentin [98]

Answer:

4.229

Step-by-step explanation:

75 = 4(2)^x

75/4 = 2^x

Apply ln both sides

ln(75/4) = ln(2^x)

ln(75/4) = x ln(2)

x = ln(75/4) ÷ ln(2)

x = 4.22881869

3 0

2 years ago

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

4 0

2 years ago

13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indica

liraira [26]

Answer:

Null Hypothesis, $H_0$ : P = 4.1%

Alternate Hypothesis, $H_A$ : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

Let p = true percentage of the population that suffers from extreme shyness.

So, Null Hypothesis, $H_0$ : P = 4.1%

Alternate Hypothesis, $H_A$ : P > 4.1%

Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

8 0

3 years ago

One T-shirt is sold for every 5 people who attend a concert.

Marta_Voda [28]

The ratio of people to t shirts is 5 to 1
Otherwise written as 5:1

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2 years ago

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The ___________ is how steep a straight line is.

Aleonysh [2.5K]

The answer is D. Slope

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3 years ago

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