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2 years ago

Help Plz!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

kari74 [83]2 years ago

7 0

-4 x -4 x -4= -64
Z = -4

solniwko [45]2 years ago

5 0

Just get the cube root and solve.

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Let c be the curve which is the union of two line segments, the first going from (0, 0) to (4, 4) and the second going from (4,

victus00 [196]

First of all we need to find a representation of C, so this is shown in the figure below.

So the integral we need to compute is this:

$I=\int_c 4dy-4dx$

So, as shown in the figure, C = C1 + C2, so:

$I=\int_{c_{1}} (4dy-4dx)+\int_{c_{2}} (4dy-4dx)=I_{1}+I_{2}$

Computing first integral:

$c_{1}: y-y_{0}=m(x-x_{0}) \rightarrow y=x$

Applying derivative:

$dy=dx$

Substituting this value into $I_{1}$

$I_{1}=\int_{c_{1}} (4dx-4dx)=\int_{c_{1}} 0 \rightarrow \boxed{I_{1}=0}$

Computing second integral:

$c_{2}: y-y_{0}=m(x-x_{0}) \rightarrow y-0=-(x-8) \rightarrow y=-x+8$

Applying derivative:

$dy=-dx$

Substituting this differential into $I_{2}$

$I_{2}=\int_{c_{2}} 4(-dx)-4dx=\int_{c_{2}} -8dx=-8\int_{c_{2}}dx$

We need to know the limits of our integral, so given that the variable we are using in this integral is x, then the limits are the x coordinates of the extreme points of the straight line C2, so:

$I_{2}= -8\int_{4}^{8}}dx=-8[x]\right|_4 ^{8}=-8(8-4) \rightarrow \boxed{I_{2}=-32}$

Finally:

$I=\int_c 4dy-4dx=0-32 \rightarrow \boxed{I=-32}$

4 0

2 years ago

Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs Sandy $0.15, and the donut shop charge

murzikaleks [220]

Answer:

0.15x + 30 ≤ 100

0.15x ≤ 70

Step-by-step explanation:

7 0

2 years ago

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to

Nina [5.8K]

Hello!

$\large\boxed{9 \%}$

To find the percent tax, use the equation:

$\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}$

Substitute in the given values:

$\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09$

Multiply by 100 to find the percent tax:

$0.09 * 100 = 9\%$

4 0

3 years ago

An architect is designing a sandwich shop, as shown in the

STALIN [3.7K]

The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

50: 50 25 10 5 1
90: 90 45 30 18 15 10 9 6 5 3 2 1

The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

A = lenght x width or width = area / lenght

Kitchen.

Width: 50 / 10
Width: 5 meters

Dining room:

Width: 90 / 10
Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

3 0

2 years ago

What is the answer to this???

jolli1 [7]

The answer for the question is 4

8 0

2 years ago