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ryzh [129]
3 years ago
15

Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. A

ccording to the graph, what is the range of areas of round glass she might need?
Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0

Kiley would need glass of area between 3.14 and 12.56 square feet

Step-by-step explanation:

The Circumference of the circle is given by 2πr where “r” is the radius

Range of the circle’s circumference- 6.28 feet to 12.56 feet

Considering lowest radius as r₁ and the largest as r₂

2πr₁= 6.28

∴r₁= 6.28/(3.14*2) = 1 feet

Similarly

⇒2πr₂=12.56/(3.14*2)=2 feet

We know that area of the circle is given by πr ²

Area of the circle= 3.14*(1)² = 3.14 square feet

Area of the largest radius= 3.14*(2)²= 12.56 square feet

Hence Kiley would need glass of area between 3.14 and 12.56 square feet

Gemiola [76]3 years ago
4 0

Answer:

A. 3.14ft to 12.56ft

<h3></h3>

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A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the
Luden [163]

Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

4 0
3 years ago
3x-y=5 write the linear equation in slope-intercept form given
maxonik [38]

Answer:

y = -3x - 5

Step-by-step explanation:

3x - y = 5

+3x      +3x

-1y = 3x + 5

----  -----   -----

-1       -1     -1

y = -3x - 5


6 0
4 years ago
The perimeter of a rectangle is 12x + 4. If the width is 2x,<br> the length of the rectangle is
DENIUS [597]

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

6 0
3 years ago
Urve revolves around the x-axis. if you cannot evaluate the integral exactly, use your calculator to approximate it. (round your
Archy [21]

The value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Given the equation y=16-x^{2} and the limit of the integral be x=-1,x=1.

We are required to find the value of integration of y=16-x^{2} from x=-1 to x=1.

Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.

Integration is basically opposite of differentiation.

y=16-x^{2}

Find the integration of 16-x^{2}.

=16x-x^{3}/3

Now find the value of integration from x=-1 to x=1.

=16(1)-(1)^{3}/3-16(-1)-(-1)^{3}/3

=16(1)-1/3+16-1/3

=32-2/3

=(96-2)/3

=94/3

Hence the value of integration of y=16-x^{2} from x=-1 to x=1 is 94/3.

Learn more about integration at brainly.com/question/27419605

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4 0
1 year ago
Can someone help me with this?
stepladder [879]
Answer: -4F and 3

Explanation: combine -F and -3F makes -4F and 14 - 11 = 3
5 0
2 years ago
Read 2 more answers
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