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sveta [45]
3 years ago
10

What is the exponent for the expression 6 × 6 × 6 × 6 × 6?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

6^5

You just need to count how many 6 there are. That is the exponent.

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Does (5, 6) satisfy the inequality 2x - 3y> 6?
butalik [34]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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What is true about the value of |-14|
lesya [120]
<span>The is true about the value of absolute |-14| = 14</span>
5 0
3 years ago
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A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fen
baherus [9]

Answer:

Area = 2500 square feet is the largest area enclosed

Step-by-step explanation:

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing

Let x be the length of each box and y be the width of the box

Perimeter of the box= 3(length ) + 4(width)

200=3x+4y

solve for y

200=3x+4y

200-3x=4y

divide both sides by 4

y=50-\frac{3x}{4}

Area of the rectangle = length times width

Area = 3x \cdot y

Area = 3x \cdot (50-\frac{3x}{4})

A=150x-\frac{9x^2}{4}

Now take derivative

A'=150-\frac{9x}{2}

Set it =0 and solve for x

0=150-\frac{9x}{2}

150=\frac{9x}{2}

multiply both sides by 2/9

x=\frac{100}{3}

A''=-\frac{9}{2}

For any value of x, second derivative is negative

So maximum at x= 100/3

 A=150x-\frac{9x^2}{4} , replace the value of x

A=150(\frac{100}{3})-\frac{9(\frac{100}{3})^2}{4})

Area = 2500 square feet is the largest area enclosed

3 0
3 years ago
Find an equation of the largest sphere with center (4, 3, 6) that is contained in the first octant.
allochka39001 [22]
See, pls, the offered explanation:
1. equation for sphere has a form: (x-x₀)²+(y-y₀)²+(z-z₀)²=r², where x₀, y₀ and z₀ are points of center (4;3;6), and r - radius of sphere.
2. according to the task the sphere must be in the 1-t octant and must be the largest, it means that among all the possible radius (4-0=4; 3-0=3; 6-0=6) need to choose the shortest one. r=3.
3. summary: <u>(x-4)²+(y-3)²+(z-6)²=3</u>.
8 0
3 years ago
Can you guys help me pls
Rama09 [41]

Answer

A

Step-by-step explanation:

So in the diagrams we see there is 2/3 shaded into a 12  cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.

so

\frac{2}3} x\frac{4}{4} =\frac{8}{12}

Since we multiplied 4 on the bottom we have to multiply 4 on the top.

sorry im not good at explaining but if you need me to re explain ill work on it. :)

5 0
3 years ago
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