which describes the behavior of the function f(x)=tan^-1(x)?

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

Answer:

c

Step-by-step explanation:

Answer:

The value of x is 11.

Option (B) is correct.

Step-by-step explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

[tex]x = \frac{88}{8}[/tex]

x = 11

Therefore the value of x is 11.

Option (B) is correct.

Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse

base=2 feet

hypotenuse(ladder)=13 ft

We need to find the altitude,

By applying pythagoras theorem,

base square+altitude square=hypotenuse square

Take altitude as x

2 square+x square=13 square

4+x square=169

x square=169-4

x square=165

x= root of 165

x=12.8 feet(approx.)

This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.

If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:

20+4+.75+.5+.08.

The total amount of money Zoe has is: $25.33

Answer:

a) (1, 109)

Step-by-step explanation:

Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis

Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)

The range is nothing but the y - values.

The y values start from 1 and ends 109 at the interval -4 to 9

Here with I have attached the graph. Please have a look at it.

Thank you.

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]

The name of the variable is obviously irrelelvant, so the same goes for the second function:

[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]

T(-4) = -(-4) - 2

-(-4) - 2 = 2

After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.

Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:

$25 - $12 = $13 remaining

Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:

$13 / $2 = 6.5

Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.

Here is your equation:

[tex]4x-2>12[/tex]

You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.

Add 2 to both sides:

[tex]4x-2+2>12+2 \\4x>14[/tex]

You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.

Divide by 4 on both sides:

[tex]4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}[/tex]

The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:

[tex]\frac{14 \div 2}{4 \div 2} = \frac{7}{2}[/tex]

New Inequality:

[tex]x>\frac{7}{4}[/tex]

That means your answer is x > [tex]\bf \frac{7}{2}[/tex]

If you have any questions, feel free to ask in the comments! :)

Answer:

a) [tex]2\frac{3}{4}[/tex] = 2.75

b) [tex]4\frac{2}{3} [/tex]= 4.6666...

Step-by-step explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction =  Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.

5 purple  8 red  4 blue

Answer

Step-by-step explanation:

$9.00 per flower 90÷10=9

None of your answers make sense.  

After 1 hour, you lose 12 gallons

After 2 hours, 24

After 3 hours, 36

After 4 hours, 48 gallons.

The answer would be -48 but that's not a choice given.

Answer:

1/8 = 0.125 I hope this helps! Please give me brainiest!

Step-by-step explanation:

  0.125

8/1.000

  - 8

     20

     -16

        40

       -40

          0

Answer:

Zombie population = 8 * 2^(number of hours)

Zombie population (after 24 hours) = 8 * 2^(24)

equals 8 * 16,777,216 = 134,217,728

Step-by-step explanation:

To solve this problem all you need to do is to combine like terms. Like terms are terms with the same variables (for ex. 4x and 6x, 3y and 9y) and powers (for ex. e^2 and x^2).

Start by writing out the entire problem to be well organized and make it easier to see if you were to do this with pen and paper.

(10j - 7) - (-9j + 2)

Distribute the negative sign into everything inside of the parentheses on the right hand side. Rewrite the problem again (preferably after every step to make it easier to catch a mistake you made if you were to double check your work).

(10j - 7) + 9j - 2

Finish off this problem by combining like terms. Add 10j and 9j together, and also add -7 and -2 together. Your final answer should look like this:

19j - 9

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

she is correct because the graph of y=2^2 will surpass the other 2 lines on the graph.

Teresa is correct as the graph of the exponential function y=2^x increases more rapidly than those of the linear and quadratic functions when x becomes large. Thus, y=2^x will eventually surpass the other graphs.

Teresa's statement that the graph of y=2^x will eventually surpass the other graphs of y=2x, y=x^2+2, and y=2x^2 is correct. This is because the graph of an exponential function such as y=2^x increases more rapidly than the graphs of linear or quadratic functions when the value of x becomes large.

For example, plotting data pairs for each of these equations, we would see that as x increases, the value of y for y=2^x will eventually be greater than the y-values for the other functions. While y=2x and y=x^2+2 will also increase with larger x, the growth rate is not as extreme as for the exponential function y=2^x.

To further illustrate, for very large values of x, the quadratic function y=2x^2 increases slower than the exponential function y=2^x. Therefore, understanding the characteristics of linear, quadratic, and exponential functions is essential in interpreting these graphs correctly.

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Answer:

[tex]\frac{11}{3}[/tex] miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles

For each additional 0.1 mile, the additional charge is $0.30

So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]

Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]

Now, given that total fare is $15, so,

[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

[tex]0.1\times 10 = 1 mile[/tex]

Hence, for 10 miles, cost is

[tex]0.30\times 10 = 3[/tex] dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

[tex]15=3.50+3x+2[/tex]

[tex]9.5=3x[/tex]

[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles

Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles

Alright, so the equation we have here is 22.75x+32=128.69

Now we just solve

-32 on both sides, we get

22.75x=96.69

divide by 22.75 on both sides we get

x=4.2501989

So 4 hours

You add the 4.25 hours

10, 11, 12, 1 is the hour

And .25 is a fourth, and a fourth of 60 minutes is 15 minutes

So he left at 1:15 pm

$4.08 dollars per hour

The requried, customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

To determine how many hours of bike use a customer gets per dollar, we need to divide the total number of hours by the cost in dollars.

In this case, the cost is $24 for 5 hours of bike use.

Hours per dollar = Total hours / Cost in dollars

Hours per dollar = 5 hours / $24

To find the value, we can calculate the division:

Hours per dollar = 5 / 24 ≈ 0.2083

Therefore, a customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

Learn more about divisions here:

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The answer is 22 1/2

Applying Chebyshev's theorem with a mean of 80 and a standard deviation of 3 to k=2, we find that at least 75% of exam scores should fall between 74 and 86 points.

Chebyshev's Theorem states that at least [tex]1 − 1/k^2[/tex](where 'k' is any real number greater than 1) of data from a sample will fall within 'k' standard deviations from the mean. Given that the mean score on the driving test is 80 points and the standard deviation is 3 points, we apply Chebyshev's theorem with k=2 (2 standard deviations from the mean).

Now let's do the calculations. The formula for Chebyshev’s Theorem is [tex]1 – 1/k^2[/tex], so that gives us[tex]1 - 1/2^2 = 1[/tex] - 1/4 = 0.75 or 75%.

Also, to find the range within which 75% of the results will fall, we use the mean and standard deviation, which gives us 'mean ± k standard deviations' => 80 ± 2*3 => [74, 86].

In conclusion, Chebyshev's theorem predicts that at least 75% of the scores on the driving test should be between 74 and 86 points.

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Emerson struck out 32% of the time.

112 out of 350 can be laid out as:  112/350

Multiply both the Denominator and the Numerator by 100:

112/350 × 100/100 = 32/100 = 32%

I hope this help answer your question!

The subject of this question is Mathematics. Emerson's strikeout rate is 32%.

The subject of this question is Mathematics as we are dealing with numerical data. We are given that Emerson struck out 112 times in 350 at-bats.

To find the strikeout rate, we divide the number of strikeouts by the number of at-bats and multiply by 100 to get a percentage. So, the strikeout rate would be (112/350) * 100 = 32%.

Therefore, Emerson's strikeout rate is 32%.

Answer,

-Laura :-)

Answer:

180

Step-by-step explanation:

you need to add -17 to 17 to get 0

17+x=0

x=-17

Answer:

The number would be –17.

Step-by-step explanation:

Hope this helps! :)

Answer:

The integer that represents the average decrease in value per year will be 1800.

Step-by-step explanation:

Suppose, the average decrease in value per year is  [tex]x[/tex] dollar.

So, the amount of decrease in three years will be:  [tex]3x[/tex] dollar.

Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......

[tex]3x=5400\\ \\ x=\frac{5400}{3}=1800[/tex]

Thus, the integer that represents the average decrease in value per year will be 1800.