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Musya8 [376]
2 years ago
6

40 - 4x greater than it equal to 10

Mathematics
1 answer:
JulsSmile [24]2 years ago
5 0

Answer:40 - 4x >= 10 or x <= 7.5

Step-by-step explanation: hope this helps

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What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0
3 years ago
Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land
Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

5 0
3 years ago
A cylindrical water tower has a height of 6 ft and a radius of 4 ft. How much water does the tower contain when it is 1/3 full?
viktelen [127]
V = pi r^2 h
But it says 1/3 full so
1/3 pi r^2 h
1/3 * 3.14 * 4^2 * 6
100.48ft cubed
Whichrounds off to 100.5
4 0
3 years ago
Classify polynomials by the degree x2+3x–10
lorasvet [3.4K]

Answer:

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Step-by-step explanation:

3 0
2 years ago
Which description is represented by a discrete graph
VashaNatasha [74]

The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

<h3> </h3><h3>What is Discrete Graph?</h3>

A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.

Here only first option shows a graph with scattered point.

Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

<h3 />

Learn more about Discrete graph from:

brainly.com/question/9697809

#SPJ1

4 0
2 years ago
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