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4 years ago

Evaluate the determinant for the following matrix: -4 -4 -3

Mathematics

1 answer:

expeople1 [14]4 years ago

3 0

A suitable calculator finds the determinant to be ...

... B. -203

_____

This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.

... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)

... = 60 -100 -18 -45 -40 -60

... = -203

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Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.

aleksley [76]

Given:

The expression is:

$(x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}$

To find:

The value of the given expression when $x=64$ and $y=27$ .

Solution:

We have,

$(x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}$

Putting $x=64$ and $y=27$ , we get

$=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}$

It can be written as

$=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}$

$=1+4-2(8)$ $[\because a^0=1,a\neq 0]$

$=5-16$

$=-11$

Therefore, the value of the given expression $-11$ when $x=64$ and $y=27$ .

4 0

3 years ago

Answer this please! Thanks

Alex17521 [72]

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is at the point of intersection of the 2 lines.

The lines are parallel and never intersect.

Tgus the system has no solution

3 0

2 years ago

A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0,

Nana76 [90]

The formula is
V (t)=V0(b)^t
V (t) the value of the assets after 5 (t) years ?
V0 current value of assets 600000
B=1-0.20=0.8
T 5 years

So the value of assets after 5 years is
V (5)=600,000×0.8^(5)=196,608

7 0

3 years ago

A person is carrying a dog that weighs 50 pounds. The person weighs x pounds. Which equation can be used to find w, the total we

olga55 [171]

Answer:

w = x + 50

Step-by-step explanation:

The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w

4 0

3 years ago

Allison practices her violin for at least 12 hours per week. She [practices for three fourths of an hour each session. If Alliso

Nikolay [14]

Well let’s see...

If she practices 3/4 of an hour a week we need to find out how much time is 3/4 of an hour. To do this we divide 60/4 and get 15. We check by multiplying 15 x 4 and get 60 so we know we are correct.

Now we know that 1/4 of an hour is 15 minutes, but we need to know how long she practices per session. Because 15 is 1/4 we multiply 15 x 3 to make it 3/4.

15 x 3 is 45. We check by dividing 45 by 3 and we do get 15 so we are correct.

If 3/4 of an hour is 45 minutes and she practices for 3/4 of an hour then we know that for every session she practices for 45 minutes.

The question states that she practices for 3 hours every week, since we know that we need to multiply 45 (because she practices 45 minutes every session) by a number that will get us 3 hours.

45 x 4 is 180 minutes (or three hours) we divided 180 by 4 and got 45 thus we are correct.

Which in turn means she has done 4 sessions this week. Since now we know that 4 sessions is 3 hours (making the ratio 4:3) we can multiply to find how many sessions she has left to do this week.

So if we have 4:3 then we can make it 8:6 (which means we know have 8 sessions and 6 hours) now we can make it 12:9 (12 sessions and 9 hours) and add it once more to get 16:12 (or 16 sessions and 12 hours).

Now we know that it takes 16 sessions for her to reach twelve hours, and since she and already done 4 sessions and 3 hours, it means that she has 12 sessions left to do until she is able to get her 12 hour a week goal.

—
Hope this helped, have a great day! :D

4 0

3 years ago

Read 2 more answers