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Sindrei [870]
2 years ago
7

-7 times (-7)^-4 What is the solution?

Mathematics
1 answer:
Igoryamba2 years ago
3 0

Answer:

The solution is -1/343 or (-7)⁻³

Step-by-step explanation:

-7 × (-7)⁻⁴

-7 × 1/(-7)⁴

-7 × 1/2401

-7/2401 = -1/343 = (-7)⁻³

Thus, The solution is -1/343 or (-7)⁻³

<u>-TheUnknownScientist 72</u>

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Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish
Brut [27]

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

  • Ben can finish the job in 5 hours
  • Tim can finish the job in 6 hours
  • Sam can finish the job in x hours
  • The three of them can finish the job in 2 hours if they work together

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = \frac{1}{5}

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = \frac{1}{6}

∵ Sam can finish the job in x hours

∴ The rate of Sam = \frac{1}{x}

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ \frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

   numerators of each fraction

∴ \frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}

Add the numerators and put the sum over 30 x

∵ \frac{11x+30}{30x}=\frac{1}{2}

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

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∴ 60 = 8 x

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∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

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You can learn more about the word problems in brainly.com/question/10712420

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The slope = (-0.3 - (-1.3) / (3 - 0).

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b is the y-intercept which is the value of y when x  = 0 . We see that it is -1.3 ( from the point 0, -1.3).

Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to',  ≤.

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