in 1995,there were 400 cell phone subscribers in the small town of Centerville. the number of subscribers increased by 50% per year after 1995 .

how many cell phone subscribers were in Centerville in 1999 ?
(show work)​

Answer:

174

Step-by-step explanation:

plug all of the variables in first

7(5(f) - 3(n)) - 8

7(35 - 9) - 8

7(26) - 8

182 - 8

174

Answer:

174

Step-by-step explanation:

7(5f-3n)-8

n=3 f=7

7(5*7 - 3*3) -8

Parentheses first

Multiply inside

7(35 - 9) -8

Subtract inside the parentheses

7(26) -8

Multiply

182-8

Subtract

174

Answer:

Probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation:

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Sixty percent of all children in a school do not have cavities.

The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be

n = 9

p = 0.60

Then we have

[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]

More about the probability link is given below.

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Angles with sides that form two pairs of opposite rays are called vertical angles.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

I need more information to answer this

Answer:

[tex]\displaystyle y=\sqrt{\frac{1}{2}x -1}[/tex]

Step-by-step explanation:

We want to find the inverse of the function:

[tex]y=2x^2+2[/tex]

To find the inverse of a function, we will flip the variables and solve for y. So:

[tex]x=2y^2+2[/tex]

Solve for y. Subtract two from both sides:

[tex]x-2=2y^2[/tex]

Divide both sides by two:

[tex]\displaystyle y^2=\frac{1}{2}x-1[/tex]

And take the principal square root of both sides. Therefore:

[tex]\displaystyle y=\sqrt{\frac{1}{2}x -1}[/tex]

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

Answer:

B. x>/ 6

Step-by-step explanation:

A P E X

Answer:

The sale price of the TV is $ 300.

Step-by-step explanation:

Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:

1/3 = 0.333

1 - 0.333 = 0.666

450 x 0.666 = X

300 = X

Therefore, the sale price of the TV is $ 300.

Answer:

4.9

Step-by-step explanation:

Use the butterfly method.

13*13 = 8*u

39 = 8u

(divide by 8)

4.875 = u

4.875 is about 4.9

Answer:

4.875

Step-by-step explanation:

1. multiply 13 times 3 and then 8 times u

2. set equal to each other so you get 39=8u

3. divide both sides by 8 to isolate u

4. solve 39/8 which is 4.875

Answer:

5.6 = AC

Step-by-step explanation:

We know that the length of BD is congruent to the length of AC, therefore we can say:

BD ≅ AC

4.8 * 1.6 = 3.2 * x

7.68 ≅ 3.2x

7.68 / 3.2 ≅ x

2.4 = x

Therefore length of AC would be:

3.2 + x = AC

3.2 + 2.4 = AC

5.6 = AC

Hope this helps!

Answer:

The volume is increasing at a rate of 25,133 mm/s.

Step-by-step explanation:

Diameter is 40mm

Radius is half the diameter, so [tex]r = \frac{40}{2} = 20[/tex]

How fast is the volume increasing when the diameter is 40mm?

We have to apply implicit differentiation, of V and r in function of t. So

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 5 mm/s.

This means that [tex]\frac{dr}{dt} = 5[/tex]

Then

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi (20)^2(5)[/tex]

[tex]\frac{dV}{dt} = 25133[/tex]

The volume is increasing at a rate of 25,133 mm/s.

Answer:

153.3852

Step-by-step explanation:

one tens hundredths thousandths

so to round to the nearest thousandth you would look at the 9 to round the 1 to 2

Answer:

153.385

Step-by-step explanation:

Thousandths is the third place to the right of the decimal point.

There are no ones in decimals.

Answer:

<ADB = 75 degrees

Step-by-step explanation:

We know, a straight line has an angle of 180 degrees.

A = (180-143) = 37 degrees.

A + C = (37 + 38) = 75 degrees.

The angles of a triangle will always add up to 180 degrees.

<ADC = (180-75) = 105 degrees.

So,

<ADB = (180-105) = 75 degrees.

Hope, this will help. Please mark me brainliest.

Thank you.

Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

Here we want to find a linear relation with only using the data in a table, we will find that the line is:

[tex]y = 12\cdot x + 12[/tex]

We know that Damian's earns a set amount plus an hourly wage, then this can be modeled with a linear equation:

[tex]y = a\cdot x + b[/tex]

Where a is the slope, which in this case is the hourly wage, and b is the y-intercept, which in this case is the set amount.

Such that x is the number of hours and y is the pay.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be given as:

[tex]a = \frac{x_2 - x_1}{y_2 - y_1}[/tex]

By looking at the table we can find two points of our line, for example, if we use the first and third points:

(1, 22) and (2, 34) then the slope will be:

[tex]a = \frac{34 - 22}{2 - 1} = 12[/tex]

Then the line is something like:

[tex]y = 12\cdot x + b[/tex]

To find the value of b, we can use one of the points, for example, the point (1, 22) means that when x = 1, we must have y = 22.

Replacing that in the above equation we have:

[tex]22 = 12\cdot1 + b\\\\22 = 12 + b\\\\22 - 12 = b = 12[/tex]

Then the equation of the line is:

[tex]y = 12\cdot x + 12[/tex]

If you want to learn more, you can read:

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Answer: Since he had fourteen, and he gave away six of them, he has eight left.

Step-by-step explanation:

The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8.

A way to express or represent numbers is through the number system.

The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.

As per the given,

Total number of apples = 14

Number of apples that make a pie = 6

Left = 14 - 6 = 8

Hence "The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8".

For more about the number system,

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Answer:

{4, 4, 8, 13, 16}

Step-by-step explanation:

If we have a set of N numbers in order:

{x₁, x₂, ..., xₙ}

The median is the middle number of the set.

The mode is the value that is repeated more times in the set

The mean is computed as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the range is the difference between the largest value and the smallest value.

Here we want 5 positive integers, so we have something like:

{x₁, x₂, x₃, x₄, x₅}

We know that the median is 8.

Then the middle value, x₃, is equal to 8.

We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:

x₁ = x₂ = 4

Replacing these in the set we have:

{4, 4, 8, x₄, x₅}

Now we know that the range is 12, and this was the difference between the largest and smallest value.

We know that the smallest value is 4, and the largest value is x₅, then we will have:

x₅ - 4 = 12

x₅ = 12 + 4 = 16

Then our set is:

{4, 4, 8, x₄, 16}

Finally, we know that the mean is 9.

Remember that the equation for the mean is:

[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

Then we need to solve:

[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]

[tex]45 = 32 + x_4[/tex]

[tex]45 - 32 = x_4 = 13[/tex]

Then the set of five positive integers is:

{4, 4, 8, 13, 16}

Absolutely blue have more chance to get because blue have more number of marbal than the white one ok

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Answer:

2.56

Step-by-step explanation:

Divide 20.48/8

I hope this helped!

Step-by-step explanation:   6 4 12 00

V = a²(h/3)    where a is the length of a side s    and  since h = (2/3)s

V = s²(2s/3)/3

V = s³(2/9)    I'll go the D

Answer:

-2.35

Step-by-step explanation:

I'm not 100% Sure if that's correct but I'm pretty sure it is!

Answer:

Improper Fraction = 47/20 Decimal = 2.35 Mixed Number = 2 7/20

Step-by-step explanation:

Convert mixed number to improper fraction

:. 2 = 20 + 20 = 40

= 40 + 7

= 47/20

Answer:

-3, -4, -5

Step-by-step explanation:

x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

x+x+1 = 3(x+2)

2x + 1 = 3x + 6

1 = x + 6

-5 = x

-4 = x+1

-3 = x+2

Answer:

FE = 3

Step-by-step explanation:

FE + ED = 11.

(2x - 17) + (x-2) = 11

Combine like terms, and you'll get:

3x -19 = 11

3x = 11+19 = 30

x = 10

FE = 2x - 17

= 2(10) - 17

= 20 - 17

= 3

Answer:

Aids

Step-by-step explanation:

AIDS is what ur mom has

Answer:

[tex]x=53\\[/tex]

Step-by-step explanation:

Together they make 90 degrees,

Now, form an equation to solve:

[tex]x+37=90[/tex]

[tex]x=90-37[/tex]

[tex]x=53[/tex]

{CHECK: [tex]53+37=90[/tex]}

hope this helps.....

[tex] \purple{ \huge{ \tt \: Answer : }}[/tex]

The value of cos 7π/6 is  -√(3)/2 .

Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

we have to find the value of cos (7π /6)

As, 7pi/6 radians

= 7pi/6 × (180°/pi)

= 210° or 210 degrees

Now, cos 7pi/6

= cos 7π/6

= cos(210°)

= -√(3)/2

Thus, the value of cos (7π/6) is -√(3)/2 .

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Answer:

C

Step-by-step explanation:

C

Check the picture below.

Step-by-step explanation:

hear is your answer 9 is correct answer

Answer:

1

[tex]3 + x = {x}^{2} + 3x \\ {x}^{2} + 2x - 3 = 0 \\ ( {x}^{2} + 2x + 1) - 3 - 1 = 0 \\ {(x + 1)}^{2} - 4 = 0 \\ {(x + 1)}^{2} = 4[/tex]

2

[tex] {(x + 1)}^{2} = 4 \\ x + 1 = ±2 \\ x = 1 \: or \: - 3[/tex]

Answer:

first answer is (x+1)^2=4 and the second one is x=-1 plus or minus 2