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2 years ago

I need help with this

Mathematics

1 answer:

ratelena [41]2 years ago

7 0

Answer:

1. y = 10(1/3)^x

2. 24.8 bacteria per minute

Step-by-step explanation:

When you raise a number between 0 and 1 to a positive exponent, the result is less than 1, so it indicates exponential decay.

The only such function in the choices is

Answer: y = 10(1/3)^x

b(t) = 4(2)^t

b(0) = 4(2)^0 = 4

b(5) = 4(2)^5 = 128

average rate of change = (128 - 4)/(5 - 0) = 124/5 = 24.8

Answer: 24.8 bacteria per minute

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Which is longer 2 meters or 200 cent a meters or 2.05 meters

Yuri [45]

Solving this requires use of conversions

we already know that
2.05 m > 2 m

all that's left is the question
200 cm vs. 2.05 meters

I we know our equivalencies, we know that
100 cm = 1 m

if this is so then
200 cm = 2 m

we already know that
2.05 m > 2 m

so it must also be that
2.05 m > 200 cm

$2.05 \: meters$

6 0

3 years ago

The perimeter of the original rectangle is ______

sergey [27]

Answer:

perimter of original rectangle = 17. 6 mm
side length of the enlarged rectangle = 23. 22 mm
perimeter of the enlarged rectangle = 95. 04 mm

Step-by-step explanation:

PERIMETER OF ORIGINAL RECTANGLE

Length of original rectangle = 4.5 mm
Width of original rectangle = 4.3 mm

perimeter = 2 × ( length + width)

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

SIDE LENGTH OF ENLARGED RECTANGLE

Width of original rectangle = 4. 5 mm
Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

Length of original rectangle = 4.5 mm
Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

PERIMTER OF ENLARGED RECTANGLE

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0

2 years ago

Which equation would you use to find how high the bird is flying?

damaskus [11]

Answer:

The first one

Step-by-step explanation:

An easy way is SOH CAH TOA

SOH is that you use sine if you there is the opposite (in this case the question mark) and hypotenuse (the diagonal line)

CAH is that you use cosine for the adjacent side (1100) and the hypotenuse.

TOA is using tangent for the opposite and adjacent side.

To fine the question mark, you would use tangent. And plug in the given (1100 for the adjacent). So tan45 = x/1100.

If you need more help or clarification, let me know!

6 0

3 years ago

2. If the data in the table were displayed in a circle graph, which percent would NOT appear in the graph? Round to the nearest

german

Adding the numbers gives us a total of 65

Jan = 20/65 = 30.7% = 31%
Feb = 25/65 = 38.4% = 38%
Mar = 1/65 = 1.5% = 2%
Apr = 3/65 = 4.6% = 5%
May = 16/65 = 24.6% = 25%

I believe ur answer is 30%

6 0

3 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

7nadin3 [17]

To solve this problem, we can use the tan function to find for the distances covered.

tan θ = o / a

Where,

θ = angle = 90° - angle of depression

o = side opposite to the angle = distance of boat from lighthouse

a = side adjacent to the angle = height of lighthouse = 200 ft

When the angle of depression is 16°18', the initial distance from the lighthouse is:

o = 200 tan (90° - 16°18')

o = 683.95 ft

When the angle of depression is 48°51', the final distance from the lighthouse is:

o = 200 tan (90° - 48°51')

o = 174.78 ft

Therefore the total distance the boat travelled is:

d = 683.95 ft - 174.78 ft

d = 509.17 ft

4 0

2 years ago