Solve log x = 3. Please help me here, thank you have a great day/night

Apply the zero matirx: [16 -24] + [ 0 0 ]=[ x y] X=? Y=?

Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16 -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0

3 years ago

What is the nth term of the sequence? 4, 2, 0, –2, ..

tatuchka [14]

' n ' the 'n'th term

1    4
2    2
3    0
4 -2 .

In general, the 'n'th term of the sequence is A(n) = 6 - 2n .

3 0

3 years ago

PLLLLEEEEAAASSSEEE HELP ME I REALLY NEED IT IT'S URGENT!!!!!

krok68 [10]

The answers would be

D
C
A
A

6 0

3 years ago

Write the polynomial in terms of its linear factors. P(x) = 2x^4 - 4x^3 - 16x^2

mojhsa [17]

Answer:

P = 2x^3 - 4x^2 - 16x

Step-by-step explanation:

Only 1 step: divide both sides by x

6 0

3 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago