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Korolek [52]
3 years ago
14

Write the following using index notation: C) 4 x 4 x 4 x 5 x 5

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Answer:

4 whole cube × 5 whole square

Step-by-step explanation:

Hope the answer above helps you...

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) Travis wrote a $53 check for a new pair of shoes. Then, he withdrew $40 from his bank account. What
maw [93]

Answer:

-93

Step-by-step explanation:

5 0
3 years ago
A bacterial culture starts with 500 bacteria and doubles in size every half-hour.
tekilochka [14]

Answer:

a). 32000

b). T_{t}=500\times 4^{t}

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

T_{n}=ar^{n}

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

T_{3}=500\times 4^{3}

T_{3}=32000  

b). After t hours number of bacteria will be represented by

T_{t}=500\times 4^{t}

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of \frac{2}{3} hours

By the formula,

T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}

T_{\frac{2}{3}}=1259.92 ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

8 0
3 years ago
Read 2 more answers
29. The function f(t) =-16t^2 + 35 gives the height, f (in feet) of a ball t seconds after being dropped from a height of 35 fee
Nostrana [21]

The time taken for the ball to fall a distance of 10feet is 1.25secs

Given the function modeled by the height expressed as:

f(t) =-16t² + 35

In order to determine the time taken by the all to fall a distance of 10 feet, hence;

f(t) = 10

10 = -16t² + 35

-16t² = 10 - 35

-16t² = -25

-t² = -25/16

t² = 25/16

t = √25/16

t = 5/4

t = 1.25secs

Hence the time taken for the ball to fall a distance of 10feet is 1.25secs

Learn more here: brainly.com/question/13881652

8 0
3 years ago
Cuál enunciado No es verdadero con respecto al valor de la varieble n en la siguiente ecuación?
aliina [53]

Answer:

es la c

Step-by-step explanation:

Explicación paso a paso:ya que para que de 0 tiene que ser un número negativo, tiene que ser el número inverso a 2/3, entonces n= -2/3 que tiene el mismo valor absoluto que  2/3

3 0
3 years ago
Explain how you can use base 10 blocks to find 2.16÷3
Vikentia [17]
You can use 10 blocks by having 1 ten and 6 ones and then divide it into groups of 3 when you do that you are kind of subtracting when you take away 3 away each time. After that you multiply it, so you think of whatever times 3 is 16 which is 15 r1. Then your answer should be 30.
8 0
3 years ago
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