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blagie [28]
3 years ago
6

3 to the third power +6(2+ 3/6)

Mathematics
1 answer:
Oliga [24]3 years ago
4 0
Answer:
42

Explanation:
Using Order of Operations, we have to evaluate the exponent first:
27 + 6(2 + 3/6)

Simplifying the fraction, we have:
27 + 6(2 + 0.5)

Add the values inside the parenthesis:
27 + 6(2.5)

Multiply:
27 + 15

Add:
42
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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
The probability of two events that are not mutually exclusive may be calculated using the formula
Nataly [62]

Answer:

7/13

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

P(red or jack) = P(red) + P(jack) − P(red and jack)

P(red or jack) = 26/52 + 4/52 − 2/52

P(red or jack) = 28/52

P(red or jack) = 7/13

7 0
3 years ago
Read 2 more answers
HIIII peeps what is 4+2 +43 ( i'm boredddd)
DochEvi [55]

Answer:

49

Step-by-step explanation:

43 +4 make sure you add them

47 +2

__

49

4 0
3 years ago
Sarah has whole milk, which contains 3.25% butterfat by volume, and one type of low-fat milk,
givi [52]

Answer:

D is the answer

Step-by-step explanation:

We want a mixture of low-fat and whole milk to equal 32ounces

Therefore, we know one equation is:

l + w = 32

That 32 ounce mixture should be 2% butter fat

So the amount of butter fat we want is

2% of 32 = 0.64 ounces

At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.

therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.

The coefficients are just the percentages in decimal form

Due to the law of conservation of mass,

The addition of these two should yield the final amount of butter fat, meaning the other equation is:

0.01l + 0.0325w = 0.64

7 0
2 years ago
Which graph represents the function of f(x)= (4x^2-4x-8)/(2x+2)
g100num [7]

Answer:

<h2>graph <em><u>representing</u></em><em><u> </u></em><em><u>:</u></em><em><u>on</u></em><em><u> </u></em><em><u>then</u></em><em><u>.</u></em><em><u>line</u></em><em><u> </u></em><em><u>also</u></em><em><u> </u></em></h2>
6 0
3 years ago
Read 2 more answers
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