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tamaranim1 [39]
3 years ago
10

The function f(x)=5000(0.98)^0.3x

Mathematics
1 answer:
blondinia [14]3 years ago
4 0
The answer is A. -29.75mm^3/day ;)


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The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age
S_A_V [24]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

2x - 30 = (x+6)

Simplifying the equation

2x - (x+6) = 30

2x - x - 6 = 30

x = 36

So this is the age of youngest sister.

So, age of oldest sister will be x + 6 = 36 + 6 = 42

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)


5 0
3 years ago
Read 2 more answers
You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hou
ICE Princess25 [194]

Answer:

Number of week day hours purchased  is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking =  $220.

To Find:

Number of week days purchased = ?

Solution:

Let  

The number of week days purchased be x

The number of weekends purchased be  y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=>x\times 2 + y \times 10 = 220

=>x \times 2 + (26-x) \times 10 =220

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x=\frac{40}{8}

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21

7 0
3 years ago
Which set of side lengths forms a right triangle?
pochemuha

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

4 0
3 years ago
Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when
solong [7]

Answer:

A) Area as function of H ,

     F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²      

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = \frac{1}{2} × height  × base

                          F (a) =  \frac{1}{2} × H × ( 4ft + H ft)

Or,                      F (a) =  \frac{1}{2} × ( 4H + H² )

Now,   here Area is function of height ,

So ,                    F'(a) = \frac{1}{2}(4 + 2H)

Hence Area as function of H ,

                          F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = \frac{1}{2} × height × base

                          = \frac{1}{2} × H × ( 4ft + H ft)

                          = \frac{1}{2} × ( 4H + H² )

                          =  \frac{1}{2} × ( 24 + 36 )

                          = \frac{1}{2} × ( 60 )

                          = 30 ft²

Hence Area of triangle with height 6ft = 30 ft²      Answer

6 0
3 years ago
A chicken salad recipe calls for 1 8
NARA [144]

Answer: 1.0625\ pounds or \frac{17}{16}\ pounds

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for \frac{1}{8} pound of chicken per serving . How many pounds of chicken are needed to make 8\frac{1}{2}  serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

8+0.5=8.5

Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

\frac{1}{8}= 0.125

Let be "x" the amount of pounds are needed to make 8\frac{1}{2}  serving.

Then, you can set up the following proportion:

\frac{1}{0.125}=\frac{8.5}{x}

Solving for "x", you get:

\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625

or \frac{17}{16}\ pounds

7 0
3 years ago
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