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3 years ago

14

What is 100×507 and show how you got the answer

2 answers:

Kazeer [188]3 years ago

6 0

507. The answer is 507,000
X100
———-
000
000
507000

vampirchik [111]3 years ago

4 0

Answer:

just add the zeros in 507

so, you will get 50700

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100 POINTS HELP ASAP Linear Combination

notka56 [123]

Answer:

1) $x=\dfrac12$

2) $n = -3 \ \ \textsf{and} \ \ m = -4$

3) see below

4) A: 0 = 1

Step-by-step explanation:

<u>Question 1</u>

$15-0.5(4x-2)+4x=17$

$\implies 15-2x+1+4x=17$

$\implies 2x+16=17$

$\implies 2x=1$

$\implies x=\dfrac12$

<u>Question 2</u>

$\textsf{rearrange} \ n=m+1 :$

$\implies -m=-n+1$

$\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\$

$\implies0=n+3$

$\implies n=-3$

$\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:$

$\implies m=-3-1$

$\implies m=-4$

<u>Question 3</u>

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

<u>Question 4</u>

$3j=k$

$k=3j+1$

$\textsf{rearrange} \ 3j=k :$

$\implies -k=-3j$

$\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:$

$\implies 0=1$

Solution = A

6 0

2 years ago

Can someone help me answer this please

sveta [45]

$( - 14) \div 7 = ( - 2)$

3 0

3 years ago

Read 2 more answers

Evaluate 5^-4<br> A.1/625<br> B.-1/625<br> C.625<br> D.-625

Vaselesa [24]

Answer:

A

Step-by-step explanation:

that's the right answer

8 0

2 years ago

The rate of transmission in a telegraph cable is observed to be proportional to x2ln(1/x) where x is the ratio of the radius of

sergij07 [2.7K]

Answer:

The value of x that gives the maximum transmission is 1/√e ≅0.607

Step-by-step explanation:

Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

$f'(x) = k*((x^2)'*ln(1/x) + x^2*(ln(1/x)')) = k*(2x\,ln(1/x)+x^2*(\frac{1}{1/x}*(-\frac{1}{x^2})))\\= k * (2x \, ln(1/x)-x)$

We need to equalize f' to 0

k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
1/x = e^(1/2)
x = 1/e^(1/2) = 1/√e ≅ 0.607

Thus, the value of x that gives the maximum transmission is 1/√e.

7 0

3 years ago

What is the solution to the equation 1/2 x + 3 = 2/3 x + 1

Leni [432]

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$\frac{1}{2} x + 3 = \frac{2}{3} x + 1 \\$

Subtract sides 3

$\frac{1}{2} x + 3 - 3 = \frac{2}{3} x + 1 - 3 \\$

$\frac{1}{2} x = \frac{2}{3} x - 2 \\$

Multiply sides by 6

$6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\$

$3x = 4x - 12$

Subtract sides 4x

$- 4x + 3x = - 4x + 4x - 12$

$- x = - 12$

Negatives simplifies

$x = 12$

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CHECK :

$\frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\$

$6 + 3 = 8 + 1$

$9 = 9$

Thus the solution is correct .

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5 0

3 years ago