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2 years ago

61-63 Sketch the region bounded by the given curves and find the area of the region.

1 answer:

8 0

The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

To find the area of the bounded region by the curves(refer to attached picture):

$\rm A= \int\limits^2_1 {(\frac{1}{x}-\frac{1}{x^2}) } \, dx$

After solving:

A = 0.193 square units

Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.

Learn more about integration here:

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Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t

MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0

3 years ago

Q4 Find the missing angle x

BaLLatris [955]

Answer:

Step-by-step explanation:

X = 1/2 arc QS

arc QS is

360 =145+105+QS

110 = QS

so X is 1/2 QS

X= 55°

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3 years ago

Use synthetic division to find the remainder. When 3x^ 2 - 2x - 4 is divided by x - 3.

OlgaM077 [116]

ANSWER

a.)17

EXPLANATION

The given function is

$3 {x}^{2} - 2x - 4$

We want to find the remainnder when this function is divided by x-3 using synthetic division.

We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.

The remainnder is 17.

The correct answer is A.

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3 years ago

A study showed that 7/10 of the human body weight is water. If a person weighs 140 pounds, how many pounds is water?

dmitriy555 [2]

Answer:

Step-by-step explanation:

it would be 70 percent of 140

3 0

3 years ago

Read 2 more answers

in mrs. wallace class's science class, 1/2 of the students are boys. Of the boys , 1/8 are left- handed. what fraction of the st

o-na [289]

Answer:

1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.

Step-by-step explanation:

1/2 * 1/8 = 1/16

there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized

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3 years ago