3. Patricia buys a round dining room table. If the radius of the table is 3 feet, what is the area she has

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer:

28 square feet

Step-by-step explanation:

$Area = \pi r^{2}$

Area = $\pi$ ×(3×3)

Area = 28.2743

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a dairy needs 306 gallon of milk containing 6% butterfat. how much gallons each of milk containing 7% butterfat and milk contain

Andreyy89

$306 \times 6\%=306 \times 0.06=18.36$
306 gallons of milk containing 6% butterfat contain 18.36 gallons of butterfat.

x - the number of gallons of 7% milk
y - the number of gallons of 4% milk

$x+y=306 \\
7\%x + 4\%y=18.36 \\ \\
x+y=306 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-4) \\
0.07x+0.04y=18.36 \ \ \ \ |\times 100 \\ \\
-4x-4y=-1224 \\
\underline{7x+4y=1836 \ \ \ \ \ \ } \\
7x-4x=1836-1224 \\
3x=612 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 3 \\
x=204 \\ \\
x+y=306 \\
204+y=306 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |-204 \\
y=102$

204 gallons of 7% milk and 102 gallons of 4% milk should be used.

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3 years ago

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

dybincka [34]

Answer:

$P(t)=37\cdot 4^{t/9.1}$

Explanation:

This is an exponential growing: there is a constant growing factor which multiplies the value number of letters sent every week.

The growing factor 4 letters every 9.1 weeks means that every 9.1 weeks the number of letters is multiplied by 4.

Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.

Then, the exponential function that models the number of people who receive the email t weeks since Tobias initially sent the chain letter, has the form:

$P(t)=Initial\text{ }value\cdot 4^{(t/9.1)}$