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RoseWind [281]
3 years ago
6

The number of hits on a website doubles every month. About 10,600 people visited the website during May. The expression 10,600 ·

2t models the number of visitors after t months. Evaluate the expression for t = 0 and t = −2. Describe what each value of the expression represents in the situation.
A. 10,600; 2650; About 10,600 people visited the website in March. About 2,650 people visited the website in May.
B. 10,600; 2650; About 10,600 people visited the website in May. About 2,650 people visited the website in March.
Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

The correct option is;

B. 10,600; 2,650; About 10,600 people visited the website in May. About 2,650 people visited the website in March

Step-by-step explanation:

The given parameters are;

The number of people that visit the website every month = 2 × The number of people that visited the website the previous month

The number of people that visit the website during May ≈ 10,600

The number of visitors of the website are given by the expression 10,600 × 2^t

For t = 0, we have;

The number of visitors of the website = 10,600 × 2⁰ = 10,600

For t = -2, we have;

The number of visitors of the website = 10,600 × 2⁻² = 2,650

Therefore, the website had about 10,650 visitors in May and about 2,650 visitors in 2 months earlier in March.

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My chemistry book is 8 years older than my Algebra book. In 6 years the chemistry book will be twice as old as the Algebra book.
4vir4ik [10]

Answer:

x + 14 = 2(x + 6)

x = 2

Step-by-step explanation:

Let

Algebra book age = x

Chemistry book age = x + 8

In 6 years time

Chemistry book age = x + 8 + 6

= x + 14

Algebra book age = x + 6

the chemistry book will be twice as old as the Algebra book.

x + 14 = 2(x+6)

x + 14 = 2x + 12

x - 2x = 12 - 14

- x = - 2

Divide both sides by -1

x = 2

Check:

Chemistry book age = x + 14

= 2 + 14

= 16

Algebra book age = x + 6

= 2 + 6

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6 0
3 years ago
Mike sees 3 more fish than Chris. Chris sees 6 fish. How many fish does Mike see? It says use comparison bars. Thanks
Katen [24]
Chris sees 6 fish.

Mike sees 3 more fish than Chris.

6 + 3 = 9

So on your bar, you have Chris's number of fish he saw, 6, and you have 3 being added to that on Mike's bar.
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3 years ago
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Which of the following is a conditional statement?
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What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi
baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

  • \boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }
  • \boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }

From the conversion previous we can produce the formula as follows:

  • \boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}
  • \boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}

We can state the following:

  • Degrees to radians, multiply by \frac{\pi }{180^0}
  • Radians to degrees, multiply by \frac{180^0}{\pi }

Given α = 720°. Let us convert this degree to radians.

\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }

720° and 180° crossed out. They can be divided by 180°.

\boxed{ \ \alpha = 4 \times \pi \ }

Hence, \boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}

- - - - - - -

<u>Another example:</u>

Convert \boxed{ \ \frac{4}{3} \pi \ radians \ } to degrees.

\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }

180° and 3 crossed out. Likewise with π.

Thus, \boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}

<h3>Learn more  </h3>
  1. A triangle is rotated 90° about the origin brainly.com/question/2992432  
  2. The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053  
  3. What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

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