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melomori [17]
2 years ago
9

A basin has the shape of a prism. What is the capacity of this basin? *

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0
I think it’s c.....
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Determine what type of model best fits the given situation:
lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = \frac{20}{100} \times P = 0.2P

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = \frac{20}{100} \times 0.8P = (0.2)(0.8P)

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

=P(0.8)^{2}-------------------------(2)

Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

so 20% of P(0.8)^{2}  \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}

So after 3 years value is decreased by (0.2)P(0.8)^{2}

so value after 3 years will be = P(0.8)^{2}   - (0.2)P(0.8)^{2}

taking P(0.8)^{2} common out we get P(0.8)^{2}(1-0.2)

P(0.8)^{2}(0.8)

P(0.8)^{3}-----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

y = P(0.8)^{x} where y is the value after x years

so thats the final answer

3 0
3 years ago
On a certain road map, the scale is 1 inch = 12 miles. Aurora Springs and Glendale are 4 inches apart on the map. What is the ac
AleksAgata [21]
Aurora Springs and Glendale are 48 miles apart. You would take how much one inch is and multiply it by 4 to get how much 4 inches is. so 12*4=48
6 0
3 years ago
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
kolbaska11 [484]

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

3 0
2 years ago
Two factors of -48 have a difference of 19. The factor with a
sdas [7]

Answer:

13

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors (F_1\times F_2)  Difference (F1-F2)   Difference (F_2-F_1)

-2\times 24                  -26                                  26

2\times -24                  26                                 -26

-3\times 16                   -19                                   19

3\times -16                   19                                  -19

-4\times 12                   -16                                   16

4\times -12                   16                                  -16

6\times -8                   -14                                   14

12\times -4                   14                                  -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are -3, 16 and  3,-16

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are -3, 16

The sum of the factors is = -3+16=13 (Answer)

3 0
3 years ago
Read 2 more answers
Round to the tenths place .712 .665 .545
Artyom0805 [142]

.712 rounds to .7

.665  rounds to .7

.545 rounds to .5

5 0
3 years ago
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