MATHEMATICS HIGH SCHOOL

use the commutative property to solve for n. 55,207+87,331=87,331+n= dont understand, please help

Answers

Answer 1
Answer: n equals 55,207 its like a repeat
Answer 2
Answer:

Final answer:

The commutative property allows us to rearrange the terms within an addition operation without affecting the result. In this case, we use it to solve for 'n' in the equation, resulting in n=55,207.

Explanation:

The student is asked to use the commutative property of addition, which simply states that the order in which numbers are added does not affect the sum. Therefore, if we have the equation 55,207 + 87,331 = 87,331 + n, using the commutative property, we can rearrange the terms of the equation to solve for 'n'.

So, if we rewrite 55,207 + 87,331 = 87,331 + n as 55,207 = n (by subtracting 87,331 from each side), we get the value of n. Therefore, n = 55,207.

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Two angles of a spherical triangle measure 36° and 62°. What is the range for the measure of the third angle?

Answers

Answer:

The third angle = 82°

Step-by-step explanation:

The sum of the angles of a spherical triangle is 180°.

Let the unknown and be called x

36 + 62 + x = 180

98 + x = 180

X = 180 - 98

X = 82°

A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?The measure between Ship A and Ship B is

Answers

Answer:

83^(\circ)

Step-by-step explanation:

Let C be the point that denotes the pier.

m\angle B=58^(\circ)

m\angle A=39^(\circ)

The angle between A and B is C

m\angle A+m\angle B+m\angle C=180^(\circ)\n\Rightarrow m\angle C=180^(\circ)-(m\angle A+m\angle B)\n\Rightarrow m\angle C=180^(\circ)-(58^(\circ)+39^(\circ))\n\Rightarrow m\angle C=83^(\circ)

The measure of the angle between Ship A and Ship B is 83^(\circ).

How many different outcomes are possible for seven people seated in chairs arranged in a line?

Answers

person A could have any SIX dif. people sitting to her left. the person on A's left can have FIVE dif.people sit on his left. that person could have any of the remaining FOUR to her left and so on to the last person. so, there are 6x5x4x3x2x1= 720 possible arrangments. 

For the missing term in the geometric sequence, Find the possiblefor the missing term in the geometric sequence, Find the possible values.4, ?, 1/36 

Answers

Use property of geometric sequence:

4,x,(1)/(36)\n \n (x)/(4)=((1)/(36))/(x)\n \n x^2=4.(1)/(36)\n \n x^2=(1)/(9)\n \n x=\pm (1)/(9)\n \n \boxed{x=\pm (1)/(3)}

Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?f(x) = 3(x + 5)(x + 4)(x – 2)(x – 9)
f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)
f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)
f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)

Answers

Answer:

The expression for f(x) is:

      f(x) = (x+5)(x+5)(x+5)(x+4)(x-2)(x-9)

Step-by-step explanation:

We know that for any polynomial equation with roots:

a_1,a_2,a_3,... with multiplicity:

m_1,m_2,...

the equation for the polynomial is given by:

f(x)=(x-a_1)^(m_1)(x-a_2)^(m_2)......

if the leading coefficient is negative we may take '-' sign in the starting of the expression.

Here we are given that :

f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3

Hence, f(x) is given by:

f(x)=(x-(-4))^(1)(x-2)^(1)(x-9)^(1)(x-(-5))^(3)\n\n\ni.e.\n\n\nf(x)=(x+4)(x-2)(x-9)(x+5)^3\n\n\nf(x)=(x+5)(x+5)(x+5)(x+4)(x-2)(x-9)

Hence, the expression for f(x) is:

            f(x)=(x+5)(x+5)(x+5)(x+4)(x-2)(x-9)
"polynomial function f(x) has a leading coefficient of 1"

So because of that, we can eliminate A and B.

Now we have "root –5 with multiplicity 3"

That's just product of three factors (x+5)

So D is wrong.

We are left with the only possible correct option C.

Change the fraction 13/20 to a decimal. A. 0.65
B. 0.015
C. 0.065
D. 0.15

Answers

The fraction 13/20 is equivalent to the decimal 0.65.

To convert the fraction 13/20 to a decimal, simply divide the numerator (13) by the denominator (20):

13 ÷ 20 = 0.65

Therefore, the decimal representation of the fraction 13/20 is 0.65.

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the answer is A

set 13/20=x/100 13x100 is 1300 divided by 20 is 65.
65/100 is 0.65 as a decimal
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