A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag

A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the

Levart [38]

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.

Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.

4 0

3 years ago

Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0

3 years ago

The perimeter of a rectangle is represented by the expression 12x-2812x−28. The length of the rectangle is represented by the ex

Minchanka [31]

Answer:

339,006 that's the answer

8 0

2 years ago

What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?

loris [4]

Answer:

-2

Step-by-step explanation:

Let x be the unknown value

Log₆ ( 1/36) = x

( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²

Log₆ ( 1/36) = Log₆ 6⁻² = -2 Log₆ 6

Log₆ 6 = 1

-2 Log₆ 6 = -2(1) = -2

4 0

3 years ago

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