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Allisa [31]
3 years ago
6

K12 5 GRADE WORK NEED HELP MARK CROWN

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

<u>6.85</u>

Step-by-step explanation:

Since James and his sister are sharing the trail mix equally this means you divide by two.

13.7/2 = 6.85

Dvinal [7]3 years ago
4 0

Answer:

6.85 oz

Step-by-step explanation:

13.7 ÷ 2 = 6.85

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The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
3 years ago
Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​
True [87]

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

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For the geometric sequence: 112.5, 225, 450, 900,..., find the 21st term.
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Step-by-step explanation:

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3 years ago
Angie, a student in an advanced statistics course, was given an algebra test and she scored
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Answer:

C. No because Angie is not representative of the population in the algebra class

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At an opening of a new art gallery the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to
Vsevolod [243]

Answer: $357 is more amount budgeted for food increase.

Explanation:

Since we have given that

Number of people according to the budget = 150

Cost of food per person= $4.25

Total cost of food is given by

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If the number of guests attending the opening was 56% more than expected,

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Difference between them is given by

994.5-637.5=\$357

Hence, $357 is more amount budgeted for food increase.

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