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Salsk061 [2.6K]
2 years ago
14

What is the product of 5x²y+3xy³

Mathematics
1 answer:
Serhud [2]2 years ago
8 0

Answer:

(xy)(5x+3y^{2} )

Step-by-step explanation:

The terms  5x²y and 3xy³ both have xy in common. We can factor out xy.

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Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that c
miskamm [114]

Answer:

These quotients are different because of what division means.

Step-by-step explanation:

When you divide you start with a total and break it into equal groups. If you started with three and broke them into groups of 1/5, that is different then starting with 1/5 and breaking into three groups.

If you had 3 cups of Chex mix and made servings of 1/5 of a cup. How many servings could you get? This is 3 divided by 1/5.

If you want to put tomatoes in 1/5 of your garden and you have 3 different tomatoes you want to plant. What fraction of the original garden will each type of tomato be in if they are evenly distributed.

7 0
3 years ago
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
3 years ago
2, 6, 18, 54. 162,...
grigory [225]

9514 1404 393

Answer:

  \text{c. }f(n)=3f(n-1);f(1)=2

Step-by-step explanation:

The first term is 2, so part of the recursive definition is ...

  f(1) = 2

The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...

  f(n) = 3·f(n -1)

These two parts of the definition match choice C.

3 0
3 years ago
Imagine a regression line that relates y = average systolic blood pressure to x = age. The average blood pressure for people 40
mart [117]

Answer:

2.0

Step-by-step explanation:

x = age

y = average systolic blood pressure

x₁ = 40 years old, y₁ = 110 systolic blood pressure

x₂ = 50 years old, y₂ = 130 systolic blood pressure

\text{Slope of a line}=m=\frac{y_2-y_1}{x_2-x_1}\\\Rightarrow m= \frac{130-110}{50-40}\\\Rightarrow\frac{20}{10}\\\Rightarrow m= 2.0

∴ Slope of the regression line is 2.0

4 0
4 years ago
A short necklace has 32 gold beads and 8 black beads. A long necklace has a total of 60 beads.Both necklaces have the same ratio
Mekhanik [1.2K]

Answer:15


Step-by-step explanation:


7 0
3 years ago
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