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2 years ago

1.6w - 1.2w + 3.5 + 4.7w

Mathematics

1 answer:

svlad2 [7]2 years ago

3 0

Answer:

8.6

Step-by-step explanation:

basically just do the order of operations

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Let A be a 4×4 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where

spin [16.1K]

Answer:

a)3

b) 9

c) -3

Step-by-step explanation:

a) If B is obtained by adding a multiple of a row of A to another row of A, $det (B) = det (A).$

Then, $det(B)=3$ .

b) If B is obtained by multiplying a row of A by k, then $det (B) = kdet (A)$ . Then $det(B)=3det(A)=3*3=9$

c) If B is obtained by exchanging two rows (columns) of A, then $det (B) = - det (A)$ . Then $det (B) = - 3$

6 0

2 years ago

Janis and Susan went to a clearance sale at a clothing store. All blouses were selling for the same price and all skirts were se

pentagon [3]

Step-by-step explanation:

Option D is the correct answer

Because if the blouse is of 8 dollars then 4 blouses = 32 and skirt = 12 so 3 skirts = 36

36 + 32 = 68

Susan bought 6 blouses = 8 x 6 = 48

3 skirts = 12 x 3 = 36

48 + 36 = 84

6 0

2 years ago

Stu jogs at a rate of 5 mi/h how far must he jog to burn 418.5 calories.9.3 calories per min

boyakko [2]

Answer:

the answer is 45 minutes

4 0

2 years ago

Use the position function s(t) = −16t² + 400, which gives the height (in feet) of an object that has fallen for t seconds from a

skad [1K]

Answer:

160m/s

Step-by-step explanation:

The object can hit the ground when t = a; meaning that s(a) = s(t) = 0

So, 0 = -16a² + 400

16a² = 400

a² = 25

a = √25

a = 5 (positive 5 only because that's the only physical solution)

The instantaneous velocity is

v(a) = lim(t->a) [s(t) - s(a)]/[t-a)

Where s(t) = -16t² + 400

and s(a) = -16a² + 400

v(a) = Lim(t->a) [-16t² + 400 + 16a² - 400]/(t-a)

v(a) = Lim(t->a) (-16t² + 16a²)/(t-a)

v(a) = lim (t->a) -16(t² - a²)(t-a)

v(a) = -16lim t->a (t²-a²)(t-a)

v(a) = -16lim t->a (t-a)(t+a)/(t-a)

v(a) = -16lim t->a (t+a)

But a = t

So, we have

v(a) = -16lim t->a 2a

v(a) = -32lim t->a (a)

v(a) = -32 * 5

v(a) = -160

Velocity = 160m/s

7 0

2 years ago

The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of

grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

Let $\mu$ = mean gross annual incomes of certified welders

So, Null Hypothesis, $H_0$ : $\mu$ = $20,000

Alternate hypothesis, $H_A$ : $\mu \neq$ $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is 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 income

$\sigma$ = population standard deviation = $2,000

n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0

2 years ago