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3 years ago

The expression 12xyz – 45 is a A. trinomial. B. constant. C. binomial. D. monomial.

2 answers:

8 0

The expression 12xyz - 45 is a binomial because there are two terms that is being separated by the operation '-'. 12xyz is one term; 45 is another term. That makes two terms. Binomial is a polynomial with 2 terms.

Mariulka [41]3 years ago

8 0

Answer:

C. binomial

Step-by-step explanation:

There are 2 terms (12xyz) (45).

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Answer only if you know HELP PART A AND PART B

VARVARA [1.3K]

Answers:

Part A) There is one pair of parallel sides
Part B) (-3, -5/2) and (-1/2, 5/2)

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

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

------------------------

Part B

The midsegment has both endpoints as the midpoints of the non-parallel sides.

The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.

x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3

y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2

The midpoint of segment PS is (-3, -5/2)

Repeat those steps to find the midpoint of QR

x coord = (x1+x2)/2 = (-2+1)/2 = -1/2

y coord = (x1+x2)/2 = (3+2)/2 = 5/2

The midpoint of QR is (-1/2, 5/2)

Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.

7 0

2 years ago

The population of the small town of Parks in 2000 was estimated to be 3,901 people with an annual rate of decrease of about 1.8%

trasher [3.6K]

Answer-

The estimated population in 2013 is 3081.

Solution-

This can be represented as exponential decreasing function,

$y=a(1 - r)^t$

Where,

a = starting amount
r = rate
t = years

Putting the values,

$y=3901(1 - 0.018)^{13}$

$=3901(0.982)^{13}$

$=3901\times 0.7897$

$=3080.62$

As population can not be in fraction, so after rounding off the estimated population in 2013 is 3081.

3 0

3 years ago

The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni

Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

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4 0

2 years ago

Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

3 years ago

Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form. please help

olchik [2.2K]

Answer:

slope = 2

y intercept = ( 0 , -1 )

equation:

y = 2x - 1

Step-by-step explanation:

7 0

2 years ago