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Dima020 [189]
3 years ago
6

Expand the equation (2x+3)^4

Mathematics
1 answer:
inysia [295]3 years ago
6 0
(2x+3)(2x+3)(2x+3)(2x+3)
(4x^2+12x+9)(4x^2+12x+9)
16x^4+48x^3+36x^2+48x^3+144x^2+108x+36x^2+108x+81
16x^4+(48+48)x^3+(36+144+36)x^2+(108+108)x+81

ans:  16x^4+96x^3+216x^2+216x+81
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As part of her retirement savings plan, Patricia deposited $250 in a bank account during her first year in the workforce. During
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Answer:

The correct answer is A)$1,010; $12,600

Step-by-step explanation:

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How many distinct values are possible for the expression 8 + 4 • 6 ÷ 2 if one set of parentheses may be placed in the expression
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If the crane operator works 30 years and the train engineer works 33 years, who makes the most lifetime income? How much more?
antiseptic1488 [7]

Answer:

The train eingineer.

Step-by-step explanation:

So, to find the lifetime income, we must multiply the annual income by the years of work.

So for the cran operator:

54,830*30

=

1,644,900

Now lets compare this to the train eingineer:

50,610*33

=

1,670,130

So looking at the two numbers:

<u>1,670,130(train eingineer)</u>>1,644,900(crane operator)

So the trian eignineer makes more than the crane operator.

Now lets find the amount.

To do this, lets subtract the larger value by the smaller value:

1,670,130-1,644,900

=

<u>25,230</u>

So the train eingineer made 25,230 more dollars than the crane operator.

Hope this helps!

3 0
3 years ago
Jeo is comparing the price of different boxes of cereal. One box has 16 oz. and costs $3.50. Another costs $3.89 for a 24 oz. bo
velikii [3]

Answer:

The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

Step-by-step explanation:

☆Let's solve using proportion.

☆One box:

\frac{16 \: oz.}{3.50 \: dollars}  =  \frac{1 \: oz.}{x}  \\  \\  \frac{3.50}{16}  =  \frac{16x}{16 }  \\  \\ 0.22 = x

☆Another box:

\frac{24 \: oz.}{3.89 \: dollars}   = \frac{1 \: oz.}{x }  \\  \\  \frac{3.89}{24}  =  \frac{24x}{24}  \\ \\ x = 0.16

☆All we need to do is subtract: 0.22 - 0.16 = 0.06

☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

7 0
3 years ago
Help me solve this with the steps please :/
Dima020 [189]

Answer:

Option (2)

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(42°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(42°) = \frac{6}{\text{Width}}

Width = \frac{6}{\text{tan}(42)}

Width = 6.67

Therefore, width of the given triangle is 6.67 units.

Option (2) is the correct option.

3 0
2 years ago
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