Exponential Growth
Find f(4), where f(x) = 3x.

The value of the solution is 3π/2.

What is a trigonometric equation?

An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.

tan x/2 = -1

tanx/2 = tan(-π/4)

tanx=tanФ

⇒ The general equation of tanx=tanФ is

⇒ x=nπ+Ф

x/2=nπ+(-π/4)

at n=0

x/2=-π/4

x=-π/2

at n=1

x/2=π-π/4

x/2=3π/4

x=3π/2

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions: Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4

B. 7pi/4

C. 3pi/4

D. 3pi/2

The cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

Therefore, the cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

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The complete question is given below:

When strawberry prices increase by 20 percent, the quantity demanded of whipped cream falls by 10 percent. What is the cross-price elasticity of demand between strawberries and whipped cream?

a. -2

b. 2

c. -0.5

d. 0.5

x / 3 ≤ -6

---Multiply both sides by 3 to cancel out the denominator on the left side

x ≤ -18

Hope this helps!

Answer:

Answer:

baiBsiasbisvdxhsbhssj

Answer:

-1/7

is the answer of your question

Answer:

80

Step-by-step explanation:

The 9 eights would be

8, 18, 28, 38, 48, 58, 68, 78, 80

A sample statistic is a numerical descriptive measure of a sample.

Therefore, a  sample statistic is a numerical descriptive measure of a sample.

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The complete question is given below:

What is a sample statistic?

A _____descriptive measure of  a _____.

Give three examples. (Select all that apply.)

Answer:

x = 3

Step-by-step explanation:

4x + 3 = 2x + 9
1. Remove 3 from both sides
4x = 2x + 6
2. Remove 2x from both sides
2x = 6
3. x = 3

Answer:

here is the answer

hope it helps u

stay safe and healthy

{ BTS ARMY GIRL }

Rashmi

The correct statement regarding the logarithmic functions is:

C The x-intercept of k(x) is greater than the x-intercept of j(x).

A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.

For the function j(x), we have that it is at:

x + 5 = 0

x = -5.

For the function k(x), we have that it is at x = 5 from the graph.

For the function j(x), we have that:

log(x + 5) - 1 = 0

log(x + 5) = 1

10^[log(x + 5)] = 10^1

x + 5 = 1

x = -4.

For k(x), from the graph, it is at x = 6, hence option C is correct.

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Step-by-step explanation:

So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).

So we have the following equation:

[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]

As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.

If you look at each denominator, you can set them equal to zero to find the vertical asymptotes

x+1 = 0

x=-1

There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.

Original Equation

[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]

Keep, change, flip

[tex]f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]

Multiply the two fractions

[tex]f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}[/tex]

Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!

[tex]f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]

In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.

The graph is shown in the attached image.

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

The graph is given below.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of y = -x is a straight line that passes through the origin and has a slope of -1.

It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.

The graph of y = |x + 2| - 3 is a bit more complex.

The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.

The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).

The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.

Finally, the +3 at the end of the equation means that the entire graph of

y = -|x + 2| is shifted upwards by 3 units.

Thus,

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

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Answer:

$1118.88

Step-by-step explanation:

Lets start by finding all sides of the perimeter to get an accurate measure of the area.

We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.

Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.

Now we can calculate area by multiplying one from each side:

[tex]14.8*50.4=745.92[/tex]

Now to find the price of required sod, multiply the area by cost per square foot

[tex]745.92*1.50=1118.88[/tex]

Therefore it will cost 1118.88 dollars to cover the entire area in sod.

Answer:

9.93 calories

Step-by-step explanation:

If 596 calories = 1h

then ?? calories =1m

since 1h=60 min

>>( 1/60)×596

=9.93 calories

Answer: x- (y-2)

Step-by-step explanation:

Two less than y would be y-2,

Then you just subtract it from x

Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

For this problem, the values of the parameters are given as follows:

[tex]\sigma = 0.5, n = 300[/tex]

We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Thus the maximum error of the estimate in hours is found as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]

M = 0.0475 hours

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Answer:

4.75%

Step-by-step explanation:

Given:     μ=z     σ=0.5     ∩=300     CL=90%

Maximum error  [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]

                          [tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]

                          = 4.75%

The elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

The complete question is added as an attachment

The matrix is given as:

1   1    1       12

2  1    0     14

2  0   3      19

Rewrite as:

x   y    z      

1   1    1       12

2  1    0     14

2  0   3      19

So, the x-element of the second row is

x = 2

When the first row is multiplied by negative 2 and added to the second row, the x-element of the second row is reduced to 0

This is represented as;

-2R1 + R2

i.e.

-2(1   1    1       12)

+   2  1    0     14

---------------------------

    0  -1   -2    -10

Hence, the elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

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Answer:

x=1

Step-by-step explanation:

2/3(9x-6) = 1/4(12-4x)

We want to solve for x

Distribute

6x-4=3-x

Add x to each side

6x-4+x = 3-x+x

7x-4 = 3

Add 4 to each side

7x-4+4 = 3+4

7x=7

Divide by 7

7x/7 = 7/7

x=1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9x - 6) = [tex]\frac{1}{4}[/tex] (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer:

20 teams can be made

Answer:

A.  10 teams

Step-by-step explanation:

a 2-person team is a combination of two elements out of 5.

Then

The number of possible teams is :

[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]

The lateral area of a cone is 147ft².

The total surface area of the cylinder is 867ft².

The total surface area is 1014ft²

The lateral area of a cone is defined as the area covered by the curved surface of the cone.

Lateral area of a cone = πr x √(r² + h²)

Where:

3.14 x 6 x √(36 + 25) = 147ft²

Total surface area of the cylinder : πr(r + 2h),

(3.14 x 6) x (6 + 40) = 867ft²

Total surface area = 867 + 147=  1014ft²

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Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

The population of Dorchester in 1999 is 277000.

According to the statement

we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.

So, For this purpose,

we have given that the number of

population of Dorchester in 2012 = 294,680

increased from year 1999 = 6%

So, here we use percentage and subtraction formula

Population increase in numbers = 6/100*294,680

Population Increase in numbers = 17680

So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers

Population in 1990 = 294,680 - 17680

Population in 1990 = 277000.

So, The population of Dorchester in 1999 is 277000.

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Here is the answer :

people who like both the songs is 35 and

people who like only folk songs is 100.

The probability that the hypothesis test will result in a type ii error, β is 0.20.

In this question,

A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.

The probability of a type II error is denoted by *beta*, β.

Power of a test = 0.80

The relation between power of a test and type II error is given as,

Power = 1 - type II error

⇒ Type II error, β = 1 - 0.80

⇒ Type II error, β = 0.20

Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.

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The pressure, P if V is decreasing at a rate of 10in^3/sec is 120lb/in^2 per sec.option B

PV = c

where,

when P =60lb/in^2 and V=20in^3

PV = c

60 × 20 = 1200 in

Find P if V is decreasing at a rate of 10in^3/sec

PV = c

P × 10 = 1200

10P = 1200

P = 1200 / 10

P = 120lb/in^2 per sec

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Answer:

I believe it's 5.0

Step-by-step explanation:

I believe so if its not I'm sorry

Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

Answer:

linear

Step-by-step explanation:

This is a line with slope  m = 8  and y-axis intercept of 10

Answer:

linear

Step-by-step explanation:

y = 8x + 10

is an equation in the form y = mx + b.

The form y = mx + b is called the slope-intersect form of the equation of a line.

Since it is the equation of a line, it is linear.

Considering the situation described, it can be graphed by the first function.

Cities A, B and C are on a straight line.

Hence, the first graph is the correct one for this problem.

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Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The net of a cylinder has a rectangle for the lateral area and 2 circles for the bases, so it has 3 parts.

Answer: False

Answer:

The answer is C

Step-by-step explanation: