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Mama L [17]
3 years ago
8

ALGEBRA Evaluate the expression if x = –8, y = 7, and z = –11.

Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer:

If you simply want to know how to answer this type of question you just take what the exponents equal and plug them into the equation you are given

Step-by-step explanation:

y+x+z

7-8-11=-12

hope this helped :)

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A child wanders slowly down a circular staircase from the top of a tower. With x,y,zx,y,z in feet and the origin at the base of
babymother [125]

Answer:

a) The tower is 90 feet tall

b) She reaches the bottom at t = 18 minutes.

c) Her speed at time t is 5 \sqrt[]{5} ft/minute

d) Her acceleration at time t is 10 ft/minute^2

Step-by-step explanation:

Consider the path described by the child as going down the tower to have the following parametrization \gamma(t) = (10\cos t, 10 \sin t, 90-5t)

a) Assuming that the child is at the top of the tower when she starts going down, we have that at the initial time (t=0) we will have the value of the height of the tower. That is z = 90-5*0 = 90 ft.

b) The child reaches the bottom as soon as z =0. We want to find the value of t that does that. Then we have 0 = 90-5t, which gives us t = 18 minutes.

c) Given the parametrization we are given, the velocity of the child at time t is given by \frac{d\gamma}{dt}= (\frac{d}{dt}(10\cos t), \frac{d}{dt} (10 \sin t ), \frac{d}{dt}(90-5t)) = (-10 \sin t, 10 \cos t, -5). The speed is defined as the norm of the velocity vector,

so, the speed at time t is given by v = \sqrt[]{(-10 \sin t)^2+(10 \cos t)^2+(-5)^2} = \sqrt[]{100(\sin^2 t + \cos^2 t)+25} = \sqrt[]{125}= 5 \sqrt[]{5}

d) ON the same fashion we want to know the norm of the second derivative of \gamma.

We have that \gamma ^{''}(t) =(-10\cost t, -10 \sin t , 0) so the acceleration is given by \sqrt[]{100(\cos^2 t+ \sin^2 t )} = 10 

6 0
3 years ago
Rosetta listed her assets and liabilities on a personal balance sheet.
avanturin [10]

Answer:

$50,000

Step-by-step explanation:

The computation of the amount received after paying off the mortgage is shown below

= Value of the house - mortgage amount

= $150,000 - $100,000

= $50,000

By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part

Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored

6 0
4 years ago
Read 2 more answers
A question on my test:
Andre45 [30]

Answer:

180degrees

Step-by-step explanation:

Given the expression cos^2x - cos x - 2 = 0

Let P = cos x

P^2 - P - 2 = 0

Factorize

P^2 - 2P + P - 2 =0

P(P-2)+1(P-2) = 0

P-2 = 0 and P + 1 = 0

P = 2 and P = -1

Since P = cos x

cos x = -1

x = arccos(-1)

x = 180degrees

Hence the require angle is 180degrees

8 0
3 years ago
Help me please just give the correct answer!
belka [17]
I’m pretty sure it’s 12
4 0
3 years ago
Solve x2 + 4x − 12 = 0.
son4ous [18]

Answer:

x = 2

x = -6

Step-by-step explanation:

Solve it by using the factoring method

x2 + 4x − 12 = 0.

(x-2)(x+6) = 0

Set the two x's to 0

x - 2 = 0

x = 2

x +6 = 0

x = -6

3 0
3 years ago
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