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natita [175]
2 years ago
13

Click on the picture for the answer

Mathematics
2 answers:
AfilCa [17]2 years ago
7 0

Answer:

the answer is 1/14

hope this helps you

hammer [34]2 years ago
5 0

9514 1404 393

Answer:

  (a)  1/14

Step-by-step explanation:

Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.

  \left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}

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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
I am confused on how to solve this using L'hopital's<br> lim→0 (5^x - 3^x)/x
kupik [55]

Answer:

Same here

Step-by-step explanation:

6 0
3 years ago
Calculate and express your answer in decimal form: 1/2 x 17 *
sp2606 [1]

Answer:

8.5

Step-by-step explanation:

5 0
3 years ago
Sketch the image of quadrilateral PQRS under the following dilations:
kramer

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Three times a number increased by ten is equal to twenty
JulijaS [17]

Answer:

The number is 10/3

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

Three times a number increased by ten is equal to twenty

(3n) + 10 = 20

<u>Step 2:  Subtract 10 from both sides</u>

3n + 10 - 10 = 20 - 10

3n = 10

<u>Step 3:  Divide both sides by 3</u>

3n / 3 = 10 / 3

n = 10/3

Answer:  The number is 10/3

6 0
3 years ago
Read 2 more answers
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