First term (n) = 10, (4 x 1 + 6)

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Paul [167]

5.0 lb of bananas will be the weight

4 0

3 years ago

Complete the sentence.

igomit [66]

Answer: 3|x| = 3x when x $\geq$ 0 and 3|x| = -3x when x < 0

Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign $\geq$ that x can't be below zero, only above or equal to. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x can't be above zero because of the sign <, only below zero. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).

Note: the absolute value of a number is always positive, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.

Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.

3 0

3 years ago

Find the surface area of the composite solid.

Scilla [17]

Answer with Step-by-step explanation:

The given figure is a cuboid.

We know that surface area(S) of cuboid is given by:

S=2(lb+bh+hl)

Where l is the length, b is the breath and h is the height

Here, l=12 mm

b=6 mm

and h=(7+2) mm=9 mm

Surface Area= 2(12×6+6×9+9×12)

=2(72+54+108)

= 2×234

= 468 mm²

Hence, Correct option is:

C. 468 mm squared

4 0

3 years ago

Consider a machine that fills 275 gallon tanks of water. The owner discovers that the machine does not always dispense exactly 2

fenix001 [56]

Answer:

(a) The random variable X is a continuous random variable.

(b) The probability density function is shown below.

(c) The probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

Step-by-step explanation:

Let the random variable X be denoted as the amount of water filled by the machine in a 275 gallon tank.

(a)

The random variable X is a continuous random variable.

A continuous random variables assumes infinite values. That is, they assume values in a fixed interval. For example, the distance covered by a car.

A discrete random variable assumes fixed definite values. They assume whole number values. For example, number of customers visiting a bank in an hour.

The amount of water in the tank can be any value between 0 to 275 gallon.

Hence, the random variable X is a continuous random variable.

(b)

The probability density function of the continuous random variable X is given as follows:

$0.25;\ 272$

$f_{X}(x) =0.20;\ 273$

$0.55;\ 274$

(c)

Compute the value of P (272.5 < X < 273.8) as follows:

$P(272.5$

Thus, the probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

4 0

3 years ago

An icicle drips at a rate that can be represented by the function f(x) = −x2 + 11x − 18, where 0 ≤ x ≤ 10 and x is the number of

FrozenT [24]

Calculate f(x) for all numbers between 0 and 10:

f(0) = −0^2 + 11(0) − 18 = -18

f(1) = −1^2 + 11(1) − 18 = -8

f(2) = −2^2 + 11(2) − 18 = 0

f(3) = −3^2 + 11(3) − 18 = 6

f(4) = −4^2 + 11(4) − 18 = 10

f(5) = −5^2 + 11(5) − 18 = 12

f(6) = −6^2 + 11(6) − 18 = 12

f(7) = −7^2 + 11(7) − 18 = 10

f(8) = −8^2 + 11(8) − 18 = 6

f(9) = −9^2 + 11(9) − 18 = 0

f(10) = −10^2 + 11(10) − 18 = -8

When the value is negative it doesn't drip, so it starts and stops dripping when the values = 0

Which is f(2) and f(9), the values are 2 and 9.

4 0

3 years ago