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3 years ago

What is y=3(2x+1)+5 work need to be shown

Mathematics

1 answer:

jonny [76]3 years ago

6 0

Answer:

In slope intercept form, this equation is y = 6x + 8

Step-by-step explanation:

All you need to do to get this to slope intercept form is to distribute the term and then combine like terms.

y = 3(2x + 1) + 5 ----> Distribute

y = 6x + 3 + 5 ----> Combine like terms

y = 6x + 8

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Step-by-step explanation:

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3 years ago

Write the complex number in trigonometric form a+bi. 3(cos270+I sin 270)

Darya [45]

Simply get the value of the angle and distribute away.

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3 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

3 years ago

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svetlana [45]

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3 years ago

Read 2 more answers

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet. The edge le

GarryVolchara [31]

Answer:

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

$V = a^3$ .....[1]

where a is the edge length of the cube.

As per the statement:

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.

⇒ $\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft$

It is also given that:

The edge length of each block is 1/5 the edge length of the storage container

⇒ $\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft$

Substitute this in [1] we have;

$V = (0.5)^3 = 0.125 ft^3$

Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125

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3 years ago