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2 years ago

Someone help me solve this

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

5 0

Answer:

Domain : ]-4;4[

Range : [4; -infinity[

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Adam earns $36 for every four hours of work. If he continues to be paid at the same rate. How long will it take him to earn $225

prisoha [69]

Answer:

It will take him 6.25 hours to earn $225

Step-by-step explanation:

225 ÷ 36 = 6.25

6.25 = 6 1/4

You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.

Hope this helps!

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3 years ago

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Evaluate the line integral, where C is the given curve. C (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to

Bess [88]

Parameterize the first line segment $C_1$ by

$\vec r(t)=(1,0,1)(1-t)+(2,4,1)t=(1+t,4t,1)$

and the second line segment $C_2$ by

$\vec s(t)=(2,4,1)(1-t)+(2,6,4)t=(2,4+2t,1+3t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_{C_1}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((1+5t)\cdot1+2(1+t)\cdot4+(1-t)4t\cdot0\bigg)\,\mathrm dt$

$=\displaystyle\int_0^1(9+13t)\,\mathrm dt=\frac{31}2$

and

$\displaystyle\int_{C_2}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((2+(4+2t)(1+3t))\cdot0+2(2)\cdot2+2(4+2t)(1+3t)\cdot3\bigg)\,\mathrm dt$

$\displaystyle=\int_0^1(32+84t+36t^2)\,\mathrm dt=86$

Then

$\displaystyle\int_C(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz=\frac{31}2+86=\boxed{\frac{203}2}$

5 0

3 years ago

If AC = 40, find the length of JK.

lesantik [10]

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is

$\frac{JK}{AC}$ = $\frac{BK}{BC}$ , substitute values

$\frac{JK}{40}$ = $\frac{3}{5}$ ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

8 0

3 years ago

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slader How many partitions of the set {1, 2, 3, . . . , 100} are there such that there are exactly three parts and elements 1, 2

My name is Ann [436]

Answer:

$3^{97}$ partitions.

Step-by-step explanation:

As we know if we have x number of elements we can arrange them in x! ways.

here we have 100 elements so we can arrange them in 100! ways.

Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in $3^{97}$ ways/partitions.

each of these partition will contain only three elements.

7 0

3 years ago

(12) In a relay race, Mia ran 1.43 kilometers. Then she passed the baton to Gerald, who ran an

BigorU [14]

Answer:

4.13

Step-by-step explanation:

To find out how many kilometres they ran in all you have to do 1.43+2.7 =4.13

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3 years ago

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