Round 20.86 to the nearest tenth

20
20.8
20.86
20.9

Answers

Answer 1

Answer:

Answer:

20.9 is the answer because To round 20.86 to the nearest tenth consider the hundredths’ value of 20.86, which is 6 and equal or more than 5. Therefore, the tenths value of 20.86 increases by 1 to 9. 20.86 rounded to the nearest tenth = 20.9

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An = −7.1 − 2.1n Find a27

Answers

The 27th term of the Arithmetic sequence defined by an = -7.1 -2.1n is -63.6. This is determined by substituting n=27 into the formula.

The problem here is asking us to find the 27th term, denoted as a27, of an arithmetic sequence. The general formula for the nth term of such a sequence is an = a1 + (n-1) * d, where a1 is the first term and d is the common difference.

However, in this case, the formula given is an = −7.1 − 2.1n. Therefore, we just need to substitute n = 27 into the formula to find a27.

Following that, we have a27 = -7.1 -2.1*27. Doing the calculation, we get a27 = -63.6. Therefore, the 27th term of the sequence is -63.6.

Learn more about Arithmetic sequence here:

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Answer:

An = -63.8

Step-by-step explanation:

−7.1 − 2.1n

−7.1 − 2.1(27)

-7.1 - 56.7 = -63.8

An = -63.8

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

Answers

m∠2 = 180 - m∠1 = 180 - 3x [supplementary angles]

In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180
180-3x + 2x+20 + 30 = 180
230 - x = 180
x = 230 - 180
x = 50

The function f(x)=101+25x2 is represented as a power series f(x)=∑n=0[infinity]cnxn. Find the first few coefficients in the power series. Some of the other problems only ask for the nonzero coefficients, but in this problem you are supposed to include those coefficents that are 0. Also, this problem is only asking for the coefficients of the power series. It does not want you to include the x's or the powers of x.

Answers

Answer:

$\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2$

Step-by-step explanation:

Since f(x) is a polynomial, it is a power series by itself with

$\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2$

On the other hand, the representation of a function as a power series around a given point is unique. This means that these are the only possible coefficients of f as a power series around 0.

A city is planning to build a parking lot for fans who drive to football games and hockey matches. For every 13 parking spaces reserved flr hockey fans,football fans will have 30 . How many spaces will football fans have If hockey fans have 1,950

Answers

The problem statement tells us parking spaces are in the proportion ...

... (football spaces)/(hockey spaces) = 30/13 = (football spaces)/1950

Multiplying by 1950 give the solution

... football spaces = 1950·30/13 = 4500

Football fans will have 4500 spacs

Hockey : Football = 13 : 30

[1950 ÷ 13 = 150]

Hockey : Football = 13x150 : 30x150 = 1950 : 4500

Answer: 4500

10x² - 43x+28

How do you factor this

Answers

Keep your head up.

Trying to spread positivity

The profit on a teddy bear can be found by using the function P(x) = - 2x2 + 35x - 99 where x is the price of the bear.Calculate the price that maximizes profit.

Answers

Answer:

x=8.75

Step-by-step explanation:

The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:

$P(x) = - 2x^2+35x-99\nP'(x)=-2(2)x^((2-1))+35(1)-0\nP'(x)=-4x+35$

Using P'(x)=0:

$0=-4x+35\n4x=35\nx=35/4\nx=8.75$

The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.

$P'(x)=-4x+35\nP''(x)=-4(1)\nP''(x)=-4$