A= 158.368 ft2 Radius= Diameter=

See the attachments below!!!

zavuch27 [327]

Answer:

1) x=0.465

2) option A.

Step-by-step explanation:

1) The given equation is:

${3}^{x + 2} = 15$ We rewrite this as logarithm to get:

$x + 2 = log_{3}(15)$

The change of base formula is:

$log_{b}(y) = \frac{ log(y) }{ log(b) }$

We apply the change of base formula on the RHS to get:

$x + 2 = \frac{ log(15) }{ log(3) }$

$x + 2 = \frac{1.176}{0.477}$

$x + 2 = 2.465$

Group similar terms:

$x = 2.465 - 2.000 = 0.465$

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

The correct answer is A.

6 0

3 years ago

Solve this equation. (1/2)^x-3= 16^3x-1

Vesna [10]

This question is unsolvable this might be a trick question but it is not solvable. Hope this helps! ;D

4 0

3 years ago

40% of x is 35. What is the equation to find x

Dima020 [189]

Answer:

.40 x = 35 equation

x = 87.5

Step-by-step explanation:

Of means multiply and is means equals

40% * x = 35

Change percent to decimal form

.40 x = 35

Divide each side by .40

.40x/.40 = 35/.40

x = 35/.40

x =87.5

4 0

3 years ago

Read 2 more answers

Jonathan needs to cover 3/4 miles. He already covered 1/6 mile. How

mrs_skeptik [129]

Answer:

3/4-1/6

=(9-2)/12

=7/12

4 0

3 years ago

Read 2 more answers

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Paladinen [302]

Answer (assuming it is allowed to be in point-slope format):

$y-4 = \frac{2}{3}(x-1)$

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, $y = -\frac{3}{2} x-4$ . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since $-\frac{3}{2}$ is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be $\frac{2}{3}$ .

2) Now, use the point-slope formula, $y-y_1 = m (x-x_1)$ to write the new equation with the given information. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute $\frac{2}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for $x_1$ and 4 for $y_1$ . This gives the following equation and answer:

$y-4 = \frac{2}{3}(x-1)$

3 0

3 years ago