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3 years ago

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solut

ion. Please explain how you got the answer.
e^x=3.4

2^x+6=3

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

$e^x=3.4\\
x=\ln 3.4\approx1.22\\\\
2^x+6=3\\
2^x=-3\\
x\in\emptyset$

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The table below represents the displacement of a horse from its barn as a function of time:

katovenus [111]

A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

<span>C. Since we have determine the y-intercept and the slope, we can formulate the linear equation:</span>

y = m x + b

y = 50 x + 8

The domain is the value of x. When y = 508, x is equivalent to

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3 years ago

Pls someone help I don’t get this

MakcuM [25]

Answer:

its 8

Step-by-step explanation:

first divide 16 by pi which is 3.14

then divide your answer by 2 after that.

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2 years ago

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Georgia [21]

Answer: isosceles

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3 years ago

Read 2 more answers

(-4,19) and (8,-2) whats the slope intercept

Sever21 [200]

Answer:

slope = -7/4

Step-by-step explanation:

Plug the points into this formula: $\frac{y2 - y1}{x2 - x1}$

Plug in

$\frac{-2 - 19}{8 - (-4)} \\\\\frac{-21}{12} = -7/4$

The simplest form is -7/4

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3 years ago

What is the area of this figure?

ludmilkaskok [199]

Answer:

$\large\boxed{\large\boxed{42 unit^2}}$

Explanation:

The figure is not a regular hexagon. It is an irregular hexagon.

Please, find attached the picture with the original question and the figure.

You can split the figure into two triangles and one rectangle.

The rectangle has dimensions: 7units × 4units, thus its area is 28 units².

Both the upper triangle and lower triangle have base 7 units and height 2 units.

Hence the area of each triangle is:

$area=(1/2)base\times height$

$area=(1/2)7units\times 2units = 7units^2$

Hence, the area of the hexagon is:

$28units^2+7units^2+7units^2=42units^2$

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4 years ago