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3 years ago

A bag contains

1 answer:

Natasha2012 [34]3 years ago

8 0

1/15 because you add all the blocks together and it gives you 15 and there is only 1 blue block so it will be a 1/15 chance of getting it

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Todd plans to swim 900 yards in a pool. So far Todd has swam 720 yards. What percentage of the total has Todd completed?

ella [17]

Answer:im pretty sure its 64.8

Step-by-step explanation:

5 0

3 years ago

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What is the slope of this line!

vesna_86 [32]

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run which is -1 over 3

3 0

3 years ago

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Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago

A geometric sequence is defined by the explicit formula an = 3(-5)n-1. What is the recursive formula for the nth term of this se

bazaltina [42]

The first term(a1) is 3
The second term (a2) is obtained by multiplying 3*(-5)
The third term A3 by multiplying 3 * -5 -5 = a2 times -5
Than you go on and one with that
But your answer is
A1=3;an+1=an(-5)

5 0

3 years ago

Someone plz explain!

ryzh [129]

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

7 0

3 years ago