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Georgia [21]
3 years ago
14

PLEASE ANSWER ASAP! YOUR ANSWER MUST REQUIRE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER!!! THANKS!!!

!

Mathematics
1 answer:
KIM [24]3 years ago
8 0
Hello,

Using vectors and scalar product:

[(a+c)*\vec{i}+(b-0)*\vec{j} ].[(a-c)*\vec{i}+(b-0)*\vec{j}]=0
Thus
\dfrac{b^2}{(a+c)(a-c)}=1

By the way how can we make text larger in latex \larger{.....} don't work.

Answer A




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What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?
valentinak56 [21]
The period of cos is 2π
so the period of cos(4x + π) is 2π/4 = π/2
cos(4x + π) = -cos4x => <span>-3 cos(4x + π) + 6 = 3cos4x + 6 
phase shift may be [-</span>π/4,π/4]
amplitude  is [-3,3]

4 0
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The distance between the bottom of a boat in the water line is called a draft. A boat in the water rises 14 feet above the water
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Answer:

84

Step-by-step explanation:

because you multiplication the number

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Jug A has 0.1 litres more than jug B. Jug C has 200 millilitres less than jug B. Jug D has ¼ of the amount that is in jug A. The
Gnesinka [82]

Answer:

A = 0.8 litres

B = 0.7 litres

C = 0.5 litres

D = 0.2 litres

Step-by-step explanation

Here's what we know:

1. Jug A = B + .1 litres

2. Jug C = B - 200 (or 0.2 litres)

3. Jug D = .25 x A

4. Jug A + Jug B = 1.5 litres

In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.  

B + .1 litres + B = 1.5 litres

2B + .1 = 1.5

Subtract .01 from each side and you have 2B = 1.4

Divide each side by 2 and you have B = 0.7 litres

Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)

Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)

Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)

8 0
3 years ago
A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after
ycow [4]

Answer:

10,962,54

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

y=a(1+r)^x

where

a is the initial value  

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

a=9,100\\r=0.85\%=0.85/100=0.0085

substitute

y=9,100(1+0.0085)^x

y=9,100(1..0085)^x

For x=22 hours

substitute

y=9,100(1..0085)^{22} =10,962,54

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I need help with this problem 5/6 divided by 1/4 please and thank you
hammer [34]

Answer:

3 1/3.

Step-by-step explanation:

Find the LCD multiply, and that's how tou get your answer

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