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kap26 [50]
3 years ago
7

A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing t

hrough the showerhead . The lower the speed, the less water that is used.
The equation w=2.5m models the amount of water, w, in gallons that passes through a showerhead in minutes.

Which is the independent variable and which is the dependent variable?

The amount of water in gallons, w, is the independent or dependent variable.

The time in minutes, m, is the independent or dependent variable. ​

Mathematics
1 answer:
nalin [4]3 years ago
5 0

Answer:

The amount of water in gallons, <em>w, </em>is the dependent variable.

The time in minutes, <em>m,</em> is the independent variable.

Step-by-step explanation:

The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.

Hope that helps.

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I don’t understand this subject at all if you wold answer that would be a big help
Digiron [165]

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}

To find the value of x,

\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d

d = 8.6 ft

4 0
3 years ago
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
What is the length of AC?
lora16 [44]

Answer:

the answer is 18 feet because that line in the middle of the triangle is half the size of AC

5 0
3 years ago
Four sets of three squared
yKpoI14uk [10]

Answer:

4^3

Step-by-step explanation:

Four sets of three Squared

To start, you will need to get the set(base number) and get the exponent 3 and put it on the top.

4^3

Hope this helps!

8 0
3 years ago
What is the distributive property to expand the algebraic expression.5(2f - 6g)
Gnoma [55]

Answer:

10f-30g

Step-by-step explanation:

we have:

5(2f - 6g)

we apply distributive property:

5(2f - 6g)

5*2f+5*(-6g)

finally we have:

10f-30g

7 0
4 years ago
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