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AveGali [126]
3 years ago
7

Write an expression to convert 16 3/4 feet into inches.

Mathematics
1 answer:
pogonyaev3 years ago
7 0

16 Feet x 12 inches. 16.75 x 12 is your equation.

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For every ton of paper that is recycled, 17 trees are saved. Discrete or continuous?
dusya [7]
I would say continuous because you can technically cut down half a tree or recycle half a piece of paper
6 0
3 years ago
What is the slope of a line that contains the points (2,2) and (4,4)
Gre4nikov [31]

Answer:

m = 1

Step-by-step explanation:

Slope is defined as m = rise / run.

As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/2 = 1:  m = 1

5 0
3 years ago
Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the fu
Alja [10]
<span>Given that Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the function H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.

  IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .

The formula for E(m) in terms of H(m) and V(m) is given by

E(m) = H(m) - V(m)

And

The formula for E(m) in terms of m is given by

E(m) = 17.4m - 17m = 0.4m</span>
8 0
3 years ago
Read 2 more answers
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
A distribution x is known to have a mean value of 5 and a standard deviation of 5. what is its mean square value (i.e., the expe
telo118 [61]
\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2
\implies 5^2=\mathbb E(X^2)-5^2
\implies\mathbb E(X^2)=50
8 0
3 years ago
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