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alexandr402 [8]
3 years ago
6

The function f (t) = 310(0.2)24t represents the change in a quantity over 7 days,

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer:

80% decrease in the quantity over 7 days

Step-by-step explanation:

Given data

We have the function

f (t) = 310(0.2)24

the above function is similar to the exponential function

f (t) = P(1±r)^t

Now the value 0.2

This means that there is  80% decrease in the quantity over 7 days

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Consider the line x+5y=6
Tems11 [23]

Answer:

x + 5y = 6 is perpendicular to y = 5x + \frac{6}{5} and parallel to y = -\frac{1}{5}x + 2\\

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> y = -\frac{1}{5}x + \frac{6}{5}

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

-\frac{1}{5} is perpendicular to -(\frac{-5}{1} ) which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

y = -\frac{1}{5}x + \frac{6}{5}\\ is parallel to y = -\frac{1}{5}x + 2\\ just like y = -\frac{1}{5}x - \frac{100}{23}.

6 0
3 years ago
How many times does 79 go though 640?
irakobra [83]
640/79=8...8
79 goes through 640 8 times
8 0
4 years ago
I WILL GIVE BRAINLIEST..... The perimeter of a triangle is 22cm. if one of the sides is 9cm, find the other sides if the area of
love history [14]
Other sides are 6 and 7.
3 0
3 years ago
A right cylinder has a radius of r inches and height of 2r inches.
lys-0071 [83]

Answer:

Part a) The lateral area is 4r^{2} \pi \ in^{2}

Part b) The area of the two bases together is 2r^{2} \pi\ in^{2}

Part c) The surface area is 6r^{2} \pi\ in^{2}

Step-by-step explanation:

we know that

The surface area of a right cylinder is equal to

SA=LA+2B

where

LA is the lateral area

B is the area of the base of cylinder

we have

r=r\ in

h=2r\ in

Part a) Find the lateral area

The lateral area is equal to

LA=2\pi rh

substitute the values

LA=2\pi r(2r)

LA=4r^{2} \pi\ in^{2}

Part b) Find the area of the two bases together

The area of the  base B is equal to

B=r^{2} \pi\ in^{2}

so

the area of the two bases together is

2B=2r^{2} \pi\ in^{2}

Part c) Find the surface area of the cylinder

SA=LA+2B

we have

LA=4r^{2} \pi\ in^{2}

2B=2r^{2} \pi\ in^{2}

substitute

SA=4r^{2} \pi+2r^{2} \pi=6r^{2} \pi\ in^{2}

4 0
3 years ago
Read 2 more answers
Help can u answer this
umka21 [38]

Answer:

c) 82

d) - 11

g)27

h)1000

k)11

l) 8

Step-by-step explanation:

{9}^{2}  + 1  \\  = (9 \times 9) + 1 \\  = 81 + 1 \\  = 82

{6}^{2}  -  {5}^{2}  \\  = (6 \times 6) - (5 \times 5) \\  = 36 - 25 \\  =  - 11

(1 + 2 {)}^{3}  \\  =  {3}^{3}  \\  = 3 \times 3  \times 3\\  = 27

(2 + 8 {)}^{3}  \\  =  {10}^{3}  \\  = (10 \times 10 \times 10) \\  = 1000

\sqrt{4}  +  {3}^{2}  \\  = 2 +  {3}^{2}  \\  = 2 + (3 \times 3) \\  = 2 + 9 \\  = 11

2 \times 5 -  \sqrt{4}  \\  = 10 -  \sqrt{4}  \\  = 10 - 2 \\  = 8

<h3>Hope it is helpful....</h3>
3 0
3 years ago
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