In which of the following intervals does the trigonometric inequality sec(x)

The exponential function that represents the population is y = a*3^x.

What is exponential function?

The formula for exponential functions is y = ab^x, where b is the constant ratio and a  is the starting point. Observe that as the value of x increases by a constant amount, the value of y increases by a common ratio by looking at a table of ordered pairs. All exponential functions share this trait.

We have to find the exponential function for the given table.

Since,

Exponential function = ab^x

where,

a is the starting point

b is the common ratio.

Here,

Common ratio = 24/8 = 72/24 = 216/72 = 648/216 = 3

So, the function becomes,

Exponential function = y = a*3^x

Hence, the exponential function that represents the population is

y = a*3^x.

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Answer:

it is 8^2.

Step-by-step explanation:

8 ^ 3 = 8 x 8 x 8

8^3/8 = 8 x 8 x 8 / 8

you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2

Answer:

Solution given:

single positive exponent

[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]

single positive exponent is 8².

Note:

we have

[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]

Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.

For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.

Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute

And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.

And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.

From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.

The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

100/8=12.5

12.5*12=150

Answer:

6553.6

Step-by-step explanation:

32^3 = 32 x 32 x 32 = 32768

32768 / 5 = 6553.6

Answer:

6,553.6

Step-by-step explanation:

32^3/5=6,553.6

Hope this helped!!

Bella was here :)

Answer:

1. 22

2. 7*3=21

3. 2

4. 8

Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)

1. Using algebra I put the missing variable as x.

"add 5 to me" is x+5.

"divide by 9, you get 3"

[tex]\frac{x+5}{9}[/tex] = 3

Begin solving by multiplying 9 to the 3 on the other side

x+5 = 27

Subtract 5 to get x by itself

x = 22

2. An equivalent multiplication sentence can be found using algebra.  

21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]

Using algebra we know if we multiply 7 onto both sides we end up with

7*3=21

3.

Combined total of 16 fumbles

8 players

Same amount of fumbles

How many fumbles per player?

I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.

4. Algebra

[tex]\frac{x * 7 - 2}{6} =9[/tex]

First is multiplication: x*7 = 7x

[tex]\frac{7x - 2}{6} =9[/tex]

Then division: Multiply the 6 over because we don't like fractions

[tex]{7x - 2} = 54[/tex]

Next we add the 2 over

[tex]{7x } = 56[/tex]

Then divide by 7 to solve for x

x=8

Answer:

[tex]x \approx 729[/tex]

Step-by-step explanation:

Given

Let the number be x

So:

[tex]x + 10\sqrt x = 1000[/tex]

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

[tex]x = 625[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]625 + 10 *\sqrt{625}[/tex]

Take the square root of 625

[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]

[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]

[tex]625 + 10 *\sqrt{625} = 875[/tex]

Let

[tex]x = 729[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]729 + 10 * \sqrt{729}[/tex]

Take the square root of 729

[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]

[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]

[tex]729 + 10 * \sqrt{729} = 999[/tex]

At this point, we can conclude that x is approximately 729 because

[tex]999 \approx 1000[/tex]

So:

[tex]x \approx 729[/tex]

Answer:

? ≈ 20°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then

? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )

Answer:

The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.

The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.

Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:

4n > 30 + n

Subtracting n from both sides gives us:

3n > 30

Dividing both sides by 3 gives us:

n > 10

Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.

Step-by-step explanation:

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

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Answer:

z < 15

Step-by-step explanation:

z + 9 < 24

z + 9 - 9 < 24 - 9

z < 15

Answer:

z < 15

Step-by-step explanation:

To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.

If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15

Answer:

Law of cosines:

[tex] {x}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) \\ = {12}^{2} + {15}^{2} - 2(12)(15) \cos(144) \\ = 144 + 225 - 360( - 0.809) \\ = 660.246 \\ x = 25.7[/tex]

Answer:

1. 12x^2 +2xy

Step-by-step explanation:

1. 12x^2 +2xy

2. 21ab^2 +35ab

3. w^2+15w+ 14

4. m^2-12m+20

5. 2k^2+5k-3

6. -r^2-5r-6

7. 8y^2+26y+15

8. -2d^2-7d-5

9. (h+6)(h-4)=0

10. s^2-7s+12=0

11. -2d^2-7d-5

Answer:

y=5 , x= 20

Step-by-step explanation:

6x + 3y = 15

x - 2y = 10

make x subject of the formula in equation two

therefore x = 10 - 2y

substitute the value of x in equation one

6 ( 10 - 2y) + 3y = 15

60 - 12y + 3y = 15

-9y = -45

y = 5 and x = 20

Answer:

{x,y} = {4,-9}

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = -6x + 15

// Plug this in for variable  y  in equation [2]

  [2]    -7x - 2•(-6x+15) = -10

  [2]    5x = 20

// Solve equation [2] for the variable  x

  [2]    5x = 20

  [2]    x = 4

// By now we know this much :

   x = 4

   y = -6x+15

// Use the  x  value to solve for  y

   y = -6(4)+15 = -9

Solution :

{x,y} = {4,-9}

Answer:

Step-by-step explanation:

a.3x-2

b.3x+2

c.3x-2

d.3x-2

so. the answer are a, c, d equivalent to 3x-2

answer:

yes, -3 is greater than -8

explanation:

-3 is closer to the 0 on a number line making it greater

hope this helped!

Answer:

x<5

Step-by-step explanation:

mark me brainliest

All book are LESS THAN 5 dollars. Therefore all prices (x) have to be less that 5 hence x<5

Answer:

The most expensive a book could be is $4.99

The inequality to represent the costs of books at the sale is c < 5

Answer:

B. 73

Step-by-step explanation:

An explanation is in the picture if you need it.

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

answer:

Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.

Detailed answer:

1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5

(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

Answer:

The answer is "4.8 and 463.011"

Step-by-step explanation:

Please find the complete question in the attached file.

Given:

side[tex]= 9.6 \ in\\\\[/tex]

let the radius of the ball

[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]  

The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]

The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]

Answer:

english?

Step-by-step explanation:

Answer:

419 ft

Step-by-step explanation:

1063 ft is about 324002.4 mm

324002.4/477 to get the scale ratio. Which is 679.25:1

I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.

188*679.25=127699mm for one side.

Convert that back to ft and you get 418.959 which would just be 419 ft

Answer:

419 ft

Step-by-step explanation:

convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)

324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger

188 x 679.25 = 127699 mm

convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft

Answer:

43.98

Step-by-step explanation:

have a nice day :)