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monitta
3 years ago
5

Can you guys pls help me with this problem

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Answer:

\dfrac{x-5.4}{5.4}=0.20

Step-by-step explanation:

The initial amount of lotion is 5.4 ounces and 20% more you should calculate of this amount.

The difference between volumes of new (larger) bottle and old (smaller) bottle is

x-5.4 ounces.

This difference is 20% of 5.4 ounces, then

\dfrac{x-5.4}{5.4}=0.20

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Angela began studying at 3:17 P.M. She studied until 4:22 P.M.<br><br> How long did Angela study?
SIZIF [17.4K]

Answer:

1hr 5mins

Step-by-step explanation:

thanks. for the free points

3 17 to 4 17 one HR

4 17 to 4 22 5 mins

total is one hour plus five mins

so 1 hr 5 mins

7 0
3 years ago
Read 2 more answers
If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
Youre amazing!!! could you help me? 50 points!!! Write an expression that can be used to produce vector d from vector c, and exp
andrew-mc [135]

Answer:

Multiply vector c by the scalar -1/2.

Step-by-step explanation:

Look at vector c.

It has an x component of 4 and a y component of 4.

You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).

c = 4i + 4j

Now look at vector d, and write it also as a sum of its x and y components.

d = -2i - 2j

Now ask yourself, what operation do I do to 4 to end up with -2?

One answer is to multiply 4 by -1/2.

d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j

That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.

8 0
2 years ago
Help please 20 points to who answers not 10 points 20
hichkok12 [17]

Answer:

Barbarian is the first.

Thatched is second.

Vassal is third.

Granary is fourth.

Step-by-step explanation:

5 0
3 years ago
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A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
RUDIKE [14]

Answer:

850m^2

Step-by-step explanation:

Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!

Hope this helps!

3 0
2 years ago
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