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2 years ago

What is the volume of this now I don't really get it

Mathematics

2 answers:

slamgirl [31]2 years ago

8 0

Answer:

Step-by-step explanation:

My name is Ann [436]2 years ago

8 0

Answer:

24 cubic units

Step-by-step explanation:

Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.

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Bly makes fleece scarves and sells them for $11 each. The supplies cost her $5 per scarf. Last month, Bly had a profit of $139.

seraphim [82]

Bly sold 29 scarves last month

Solution:

Let "x" be the number of scarves sold

Bly made 7 more scarves than she sold

Then, number of scarves made = x + 7

Bly makes fleece scarves and sells them for $11 each

Thus for selling "x" scraves , he will get 11x dollars

Total sales revenue = 11x

number of scarves made = x + 7

The supplies cost her $5 per scarf

Therefore, cost for scarves made = 5(x + 7)

Therefore,

profit = Total sales revenue - cost for scarves made

profit = 11x - 5(x + 7)

profit = 11x - 5x - 35

profit = 6x - 35

Last month, Bly had a profit of $139

139 = 6x - 35

6x = 174

x = 29

Thus Bly sold 29 scarves last month

5 0

3 years ago

Jonathan goes to the store and purchases 3 pencils for 0.28 each, and y number of erasers for 0.38 each. Write an expression tha

laiz [17]

Keywords

linear equation, variables

Step 1

Define the variables

Let

x-----> number of erasers

y-----> total cost

we know that

------> this is the linear equation that represent the situation

therefore

the answer is y = 0.84 + (0.38)x

5 0

3 years ago

Read 2 more answers

Identify the slope type of the graph shown above.

Contact [7]

Answer is B. Zero
Reason
Pick any points on that line, they will have the same y value , it means they lie on a horizontal line. The slope of such a line is 0.

5 0

1 year ago

37. Verify Green's theorem in the plane for f (3x2- 8y2) dx + (4y - 6xy) dy, where C is the boundary of the

Nastasia [14]

I'll only look at (37) here, since

• (38) was addressed in 24438105

• (39) was addressed in 24434477

• (40) and (41) were both addressed in 24434541

In both parts, we're considering the line integral

$\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy$

and I assume C has a positive orientation in both cases

(a) It looks like the region has the curves y = x and y = x ² as its boundary***, so that the interior of C is the set D given by

$D = \left\{(x,y) \mid 0\le x\le1 \text{ and }x^2\le y\le x\right\}$

• Compute the line integral directly by splitting up C into two component curves,

C₁ : x = t and y = t ² with 0 ≤ t ≤ 1

C₂ : x = 1 - t and y = 1 - t with 0 ≤ t ≤ 1

Then

$\displaystyle \int_C = \int_{C_1} + \int_{C_2} \\\\ = \int_0^1 \left((3t^2-8t^4)+(4t^2-6t^3)(2t))\right)\,\mathrm dt \\+ \int_0^1 \left((-5(1-t)^2)(-1)+(4(1-t)-6(1-t)^2)(-1)\right)\,\mathrm dt \\\\ = \int_0^1 (7-18t+14t^2+8t^3-20t^4)\,\mathrm dt = \boxed{\frac23}$

*** Obviously this interpretation is incorrect if the solution is supposed to be 3/2, so make the appropriate adjustment when you work this out for yourself.

• Compute the same integral using Green's theorem:

$\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dy = \iint_D \frac{\partial(4y-6xy)}{\partial x} - \frac{\partial(3x^2-8y^2)}{\partial y}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^1\int_{x^2}^x 10y\,\mathrm dy\,\mathrm dx = \boxed{\frac23}$

(b) C is the boundary of the region

$D = \left\{(x,y) \mid 0\le x\le 1\text{ and }0\le y\le1-x\right\}$

• Compute the line integral directly, splitting up C into 3 components,

C₁ : x = t and y = 0 with 0 ≤ t ≤ 1

C₂ : x = 1 - t and y = t with 0 ≤ t ≤ 1

C₃ : x = 0 and y = 1 - t with 0 ≤ t ≤ 1

Then

$\displaystyle \int_C = \int_{C_1} + \int_{C_2} + \int_{C_3} \\\\ = \int_0^1 3t^2\,\mathrm dt + \int_0^1 (11t^2+4t-3)\,\mathrm dt + \int_0^1(4t-4)\,\mathrm dt \\\\ = \int_0^1 (14t^2+8t-7)\,\mathrm dt = \boxed{\frac53}$

• Using Green's theorem:

$\displaystyle \int_C (3x^2-8y^2)\,\mathrm dx + (4y-6xy)\,\mathrm dx = \int_0^1\int_0^{1-x}10y\,\mathrm dy\,\mathrm dx = \boxed{\frac53}$

4 0

3 years ago

Put 2/3 5/7 16/21 in order from least to greatest

hodyreva [135]

Answer:

5/7, 2/3, and 16/21

Step-by-step explanation:

If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!

5 0

3 years ago

Read 2 more answers