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3 years ago

What are the next 3 numbers in the number sequence? 23, 31, 41, 53, …

1 answer:

6 0

23, 31, 41, 53,...

First lets find the pattern.

53 - 41 = 12
41 - 31 = 10
31 - 23 = 8

Pattern = 8 + 10 + 12

53 + 8 = 61
61 + 10 = 71
71 + 12 = 83

Next 3 numbers of the sequence are 61, 71, 83.

23, 31, 41, 53, 61, 71, 83

Read more about scales at:

brainly.com/question/24579126

6 0

2 years ago

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the

klasskru [66]

Answer:

50% of 3000

Step-by-step explanation:

49% is very close to 50% (half). 3,025 pounds is very close to 3,000 pounds.

Half of 3,000 pounds is 1,500 pounds.

3 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Nikki can make 5 free throws in 8 attempts. If she continues this pattern, how many free throws can she 128 attempts? Show your

konstantin123 [22]

Step-by-step explanation:

80 free throws on 128 attempts

8 0

3 years ago

‼️ help with all these questions 20pts + brainliest ‼️

eimsori [14]

Answer:

1) Slope-intercept form

2) 9200

3) 2 months

4) (0,200)

Step-by-step explanation:

A shelter had 200 animals in foster homes at the beginning of spring and the number of animals in foster homes at the end of the summer could be represented by

y=3000x+200 ............ (1)

Where x is the number of months and y is the number of animals.

1) The equation (1) is written in the slope-intercept form of a straight line equation.

2) After 3 months means x = 3 and the number of animals in the foster home after 3 months will be (3000 ×3 + 200) = 9200 (Answer)

3) Let after x months the animal population will become 6200.

So, 6200 = 3000x + 200

⇒ 3000x = 6000

⇒ x = 2 months (Answer)

4) If we put x = 0 in equation (1), then we get y = 200.

So, (0,200) is a point on the graph of the line. (Answer)

5 0

3 years ago