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True [87]
3 years ago
6

Jase wrote the prime factorization of 99. Which expressions could he have written?

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0

Answer:

A and d is the correct answer

Step-by-step explanation:

A and d is matter fact correct answer

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If square ABCD with side length of 7 units is reflected over the line y=x, what is length A'B'?
Art [367]

Answer:

  7

Step-by-step explanation:

Reflection is a rigid transformation, so the side length does not change.

  A'B' = 7

5 0
3 years ago
Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 cm wide so it apperars cent
irga5000 [103]

Hello Croary

We would first need to subtract 13.09cm from  21.59cm which will be 8.5cm, with the left over space, divide in half

<u><em>8.5/2 = 4.25cm</em></u>

:)

6 0
3 years ago
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
Thepotemich [5.8K]

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

8 0
2 years ago
Pls help........................................................
Nady [450]

Answer:

6 i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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