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2 years ago

A=6b solve for b please

Mathematics

1 answer:

Papessa [141]2 years ago

7 0

Answer:

b = a divided by 6

Step-by-step explanation:

Since a is equal to b times 6, you would have to divide a by 6 to find b

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Write the equation in exponential form using the two points (0,1) and (1,3)

MakcuM [25]

Answer:

$y=3^x$

Step-by-step explanation:

The equation of the function in exponential form is

$y=a\cdot b^x$

The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:

$1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3$

Thus, the equation of the function is

$y=3^x$

8 0

2 years ago

Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i

user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is $V=l\times w\times h$

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

$V=45\times 12\times 10$

$V=5400\ cm^3$

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0

3 years ago

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

5 0

2 years ago

There are 20 rows of seats on the concert hall:25 seats are in the 1st row

lapo4ka [179]

Answer:

20x25=500 10x25+10×25=500

7 0

2 years ago

Here's a graph of a linear function. Write the

Natalija [7]

Answer:

$\large\boxed{y=\dfrac{1}{4}x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

$y=mx+3$

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Put the coordinates of the points:

$m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}$

Finally we have:

$y=\dfrac{1}{4}x+3$

7 0

3 years ago

A=6b solve for b please​

A=6b solve for b please