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1 year ago

Determine whether the sequence is arithmetic or geometric.

Mathematics

1 answer:

nignag [31]1 year ago

3 0

Answer:

Sequence 1 is arithmetic, sequence 2 is geometric.

Step-by-step explanation:

Sequence 1 is being subtracted by 16 each time, so it is arithmetic.

Sequence 2 is being divided by 2 each time, so it is geometric.

Both, sequence 1 and 2, have terms 32 and 16.

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Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet

photoshop1234 [79]

Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

$\frac{(x-h)^{2} }{b^{2} } + \frac{(y-k)^{2} }{a^{2} }= 1$ a>b

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

$\frac{(x)^{2} }{b^{2} } + \frac{(y)^{2} }{a^{2} }= 1$

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

$\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1$

The coordinates of the ellipse (x,y) = (28,13)

$\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1$

$\frac{28^{2} }{b^{2} } + 0.4225= 1$

$\frac{784 }{b^{2} } = 0.5775$

b² ≅ 1358

b≅36.85

Length of minor axis (2b) = 73.7 feet.

the span of the bridge is 73.7 feet

7 0

2 years ago

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one

Sav [38]

Answer:

<h2>2 and three-fourths </h2>

Step-by-step explanation:

Given the expression $\frac{11}{12}/\frac{1}{3}$ , the equivalent expression can be gotten as shown;

$= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}$

2 and three-fourth therefore gives the required expression

8 0

1 year ago

Read 2 more answers

Nidhi is thinking of a number n, and she wants her sister to guess the number. Her first clue is that eight less than three time

Dmitriy789 [7]

Answer:

The range of numbers that Nidhi might be thinking of is between 3 and 9.

Step-by-step explanation:

We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.

Her first clue is that eight less than three times her number is between one and nineteen.

Let the number Nidhi is thinking be 'n'.

So, eight less than three times her number means that;

$(3\times \text{n}) - 8 = 3\text{n}-8$

Now, according to the question; the above equation is between one and nineteen, so;

$1< 3\text{n}-8 < 19$

Adding 8 to the whole expression;

$1+8< 3\text{n}-8 +8< 19+8$

$9< 3\text{n}< 27$

Dividing the whole expression by 3;

$\frac{9}{3} < \frac{3\text{n}}{3} < \frac{27}{3}$

$3< \text{n}< 9$

Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.

3 0

1 year ago

On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle. Distance formula: Sta

vivado [14]

Answer:

its B on Ed

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

Imagine that you have plotted many data points on an xy-plane. Your points seem to align into a clear best-fit line. Do you thin

sattari [20]

It depends really. If you stay close to the present, then predicting future results isn't too bad. The further you go out, the more unpredictable things get. This is because the points may deviate from the line of best fit (aka regression line) as time wears on. Of course, it also depends on what kind of data we're working with. Some pairs of variables are naturally going to correlate very strongly together. An example would be temperature versus ice cream sales.

5 0

2 years ago