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3 years ago

What is the value of (-1/2) ^ -4

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

Answer:

Step-by-step explanation:

(-1/2)^ (-4)

= (2 / -1) ^ 4

= (-2) ^ 4

= 2 ^ 4

= 16

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Y varies directly with x. When x is 4 y is 8. Find y when x = 10.

grandymaker [24]

Step-by-step explanation:

y = 4 when x = 8 So, 4 = 8k

k = 1/2

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Therefore, when x = 10, y = (1/2)(10) = 5

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Pooky eats three cans of cat food each day. How long will 27 cans of food last?

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3 years ago

Read 2 more answers

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

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3 years ago