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3 years ago

The table shows the number of cups of water required when cooking different amounts of rice.

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer-

The amount of water is the dependent value.

Solution-

Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.

As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.

Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.

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Help me out please? chapter : exponents and powers

belka [17]

Answer:

$\frac{125}{27}$

Step-by-step explanation:

$\frac{2^{-4} \times 15^{-3} \times 625}{5^2 \times 10^{-4}}$

Lets expand all the composite numbers into prime numbers.

$=> \frac{2^{-4} \times (3^{-3} \times 5^{-3}) \times 5^4}{5^2 \times (2^{-4} \times 5^{-4})}$

Lets cancel $2^{-4}$ from numerator and denominator.

$=> \frac{3^{-3} \times 5^{-3} \times 5^4}{5^2 \times 5^{-4}}$

Using laws of exponents , lets solve this.

$=> \frac{3^{-3} \times 5^{(-3 + 4)}}{5^{( 2 - 4)}}$

$=> \frac{3^{-3} \times 5^{1}}{5^{-2}}$

$=> 3^{-3} \times 5^{[1 - (-2)]}$

$=> 3^{-3} \times 5^{3}$

$=> \frac{5^3}{3^3} = \frac{125}{27}$

4 0

2 years ago

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From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far i

Alexandra [31]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

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2 years ago

A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark, wha

DedPeter [7]

Answer:

The probability of getting a pair of red socks is 0.322

Step-by-step explanation:

According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:

probability of getting a pair of red socks=11C2/19C2

probability of getting a pair of red socks=55/171

probability of getting a pair of red socks=0.322

The probability of getting a pair of red socks is 0.322

4 0

3 years ago

You went to the mall with $80. You spent 25% of your money on a pair of shorts and 65% of the remainder on sandals. How much did

swat32

25% of 80 is 20
65% of 20 is 13
Your answer is 13

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3 years ago

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MrRissso [65]

Answer:

8 people ordered ice cream

Step-by-step explanation:

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