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Mrac [35]
3 years ago
15

Factor yz + 6 + y +6z. z + 1)(y + 6) (z - 1)(y + 6) (z + 6)(y - 1)

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0
The answer is the first one: (z+1)(y+6).

Explanation:

yz + 6 + y + 6z

= yz + y + 6 + 6z

= y(z+1) + 6(1+z)

= (z+1)(y+6)

For (z+1), you can also write (1+z), it doesn’t matter.

Hope it helps!

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Which of the objects shown above are pyramids?
PolarNik [594]
<h3>Answer: A and B (first answer choice)</h3>

Explanation:

Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.

Choice C is ruled out because cones aren't considered pyramids.

Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.

7 0
2 years ago
Use an area model to find the quotient: 132 ÷ 3 = ________.
7nadin3 [17]

Answer:

44

Step-by-step explanation:

3 0
2 years ago
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Round final answers to 3 decimal places.
irina [24]

There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours

<h3>How to determine the number of cells after 11 hours?</h3>

The given parameters are:

At t = 0, Bacteria = 140 million

At t = 6, Bacteria = 320 million

This can be represented as:

f(0) = 140

f(6) = 320

An exponential function is represented as:

f(t) = f(0) * r^t

When t = 6, we have:

320 = 140 * r^6

Divide both sides by 140

r^6 = 2.28571428571

Take the 6th root of both sides

r = 1.15

So, we have:

f(t) = f(0) * 1.15^t

Substitute f(0) = 140

f(t) = 140 * 1.15^t

After 11 hours, we have:

f(11) = 140 * 1.15^11

Evaluate

f(11) = 651.33

Hence, there are 651.335 million cells in the petri dish after 11 hours

Time to reach 1 billion cells

This means that

f(t) = 1 billion i.e. 1000 million

So, we have:

1000 = 140 * 1.15^t

Divide by 140

1.15^t = 7.14285714286

Take the logarithm of both sides

t * log(1.15) = log(7.14285714286)

Divide both sides by log(1.15)

t = 14.068

Hence, the cells will reach 1 billion cells after 14.068 hours

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

6 0
2 years ago
The Brown family bought 9 bags of cookies. Each bag had 16 cookies. They have since eaten 26 of the cookies. How many cookies do
grigory [225]

Answer:

118 cookies

Step-by-step explanation:

1. 9x 16  

2.144-26

And then get 118! Have a nice day YW!!!!!???

3 0
2 years ago
2. Which expression is equivalent to 5-(-8)?<br> A (-5) + 8 B 8+5<br> C 8-5<br> D 5-8
ANTONII [103]
It’s 8-5
Reciprocal is flipped
8 0
3 years ago
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