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Nana76 [90]
3 years ago
5

What figure is this?​

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

triangular prism

Step-by-step explanation:

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
Choose the inequality that could be used to solve the following problem.
Pie
Answer:

3x = - 6

Step-by-step explanation:

Three times a number is at most negative six

3 times a number would be 3 times x, is means the equal sign (=)

3x = - 6

3 0
3 years ago
Read 2 more answers
I’m stuck, please help ASAP. Will give brainliest!
ss7ja [257]

Answer:

C) 35 Degrees

Step-by-step explanation:

To find the degree of an exterior angle, subtract the larger arc, DE, degree by the smaller arc, BC, and then divide by 2! Which is 35. 118-48/ 2 = 35.

7 0
3 years ago
In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B receive?
dezoksy [38]

Answer:

Step-by-step explanation:

471/3 * 2 = 314

5 0
3 years ago
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A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m
Galina-37 [17]

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

H = 1,533,000\ times

S = 241,776,000\ times

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

Number = \frac{S}{H}

Number = \frac{241,776,000}{1,533,000}

Number = 157.714285714

Number = 158 --- approximated

<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>

5 0
2 years ago
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