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3 years ago

What is the length of a side cube with a volume of 729m3

Mathematics

1 answer:

shusha [124]3 years ago

6 0

27 because said a cube teacher told me to do s time s that means square•square

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You make 42,500 and your spouse makes 37750 . using the 20% to 25% range , calculate the least and the greatest amount you shoul

Zepler [3.9K]

If you make 42,500 and your spouse makes 37750, then using the 20% to 25% range, the least and the greatest amount you should spend on housing is $50,00. The correct answer to the following given statement above is 50 dollars.

8 0

3 years ago

Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x

= $64 + 192 \times x^{1} + 240 \times x^{2}$ + terms involving higher powers of x

so, the first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

Again,

$(2+x - x^{2})^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})$

Now, by inspection,

the term $x^{2}$ comes from k =5 and k = 6

for k = 5, the coefficient of $x^{2}$ is , $(-32) \times 6$ = -192

for k = 6 , the coefficient of $x^{2}$ is, $6_{C_{2}} \times 2^{4}$ = 240

so, coefficient of $x^{2}$ in the final expression = (240 - 192) = 48

3 0

2 years ago

i need info on 3 cars, including make, model and selling price. then i need each cars depreciation rate. ill give brainliest. (p

myrzilka [38]

Answer:

1) Mercedes Benz A class which is $ 33495 (starting),

made in Germany

https://www. truecar .com/prices-new/mercedes - benz/

It has depreciation 6% in the first three years https:// www .themoneycalculator .com/vehicle-finance/calculators/car-depreciation-by-make-and-model/MERCEDES-BENZ/A_CLASS/

2) Ferrari 458 $35,563

https:// www. ferrari. com/en-EN/auto/458-speciale

Ferrari 458 models depreciate 29% in the first three years

https://www. themoneycalculator .com/vehicle-finance/calculators/car-depreciation-by-make-and-model/FERRARI/458/

3)Honda Civic $20,950

https:// automobiles .honda .com/civic

depreciation is 34%

https:// www. themoneycalculator .com /vehicle-finance/calculators/car-depreciation-by-make-and-model/HONDA/CIVIC/

3 0

3 years ago

If f(x)=|2x-4| find f(-7)

Yuri [45]

Answer:

Step-by-step explanation:

sub in x = -7 into the equation

f(-7) = |-14-4| = |-18| = 18

4 0

1 year ago

Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your ow

zubka84 [21]

Answer:

x f(x) g(x)

1 15 3

2 16 4

3 15 5

4 12 6

5 7 7

6 0 8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

3 0

3 years ago