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vova2212 [387]
2 years ago
10

Jerry buys a pack of pencils that cost $3 David buys 4 sets of markers each set of marker also cost 3 what is the total cost of

the marker
Mathematics
1 answer:
Marat540 [252]2 years ago
7 0
The total cost of marker is 12
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Evaluate the triple integral ∭Tx2dV, where T is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,3,0), and (0,0,3).
bixtya [17]

Answer:

the integral I=81

Step-by-step explanation:

for the integral I

I=\int\limits^{}_{}\int\limits^{}_{}\int\limits^{}_{T} {x^{2} } \, dxdydz

where T is the solid tetrahedron , then

I=\int\limits^{3}_{0}\int\limits^{3}_{0}\int\limits^{3}_{0} {x^{2} } \, dxdydz = \int\limits^{3}_{0}dz\int\limits^{3}_{0}dy\int\limits^{3}_{0} {x^{2} } \, dx = (3-0)*(3-0)*1/3*(3^{3}-0^{3}) = 3^{4} = 81

the integral is equal to 81

8 0
2 years ago
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appe
bagirrra123 [75]
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where:
x' = x * cos(180) - y * sin(180)
y' = x * sin(180) + y * cos(180)

Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra!

Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon.

You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
4 0
2 years ago
Read 2 more answers
For a display, identical cubic boxes are stacked in square layers. Each layer consists of cubic boxes arranged in rows that form
serg [7]

Answer:

285  boxes are in the display

Step-by-step explanation:

Given data

top layer box = 1

last row box = 81

to find out

how many box

solution

we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box

so that next row will have 8^2 and than 7² and so on till 1²

so we can say that cubes in the rows as that

Sum of all Squares = 9² + 8² +..........+ 1²

Sum of Squares positive Consecutive Integers formula are

Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)  

here n = 9 so equation will be

Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)

Sum of Squares of Consecutive Integers = 285

so 285  boxes are in the display

7 0
2 years ago
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su
oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is 44\ cm

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

A=\pi r^{2}

we have

A=484\pi\ cm^{2}

substitute in the formula and solve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Find the diameter

Remember that the diameter is two times the radius

D=2(22)=44\ cm

3 0
2 years ago
Read 2 more answers
Alice chose five positive integers and found that their product was even. What is the maximum number of odd integers she could h
Nat2105 [25]

Answer:

In order for a product to be even, at least one factor must be even (so that the product is divisible by 2). The minimum number of even integers she could have chosen is 1, so the maximum number of odd integers she could have chosen is 4 :)

4 0
2 years ago
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