9500 people registered to vote in the last Town election however only 63% of the population voted how many people voted

Answer:

If ZA and ZB are supplementary angles, then their measures add up to 180 degrees. So we can represent ZA as x and ZB as y.

According to the given information, the measure of ZB is 33° more than half the measure of ZA. So we can represent this as:

y = (1/2)x + 33

And since ZA and ZB are supplementary, we can express the relationship between the two angles as:

x + y = 180

Now we have a system of two equations with two variables:

y = (1/2)x + 33

x + y = 180

We can solve for x and y using these equations.

First, we substitute the first equation into the second equation:

x + ((1/2)x + 33) = 180

Simplifying:

x + (1/2)x + 33 = 180

x + (1/2)x = 180 - 33

x + (1/2)x = 147

Combining like terms:

(3/2)x = 147

Dividing both sides by 3/2

x = 98

Now we can substitute this value back into the first equation to find the measure of ZB:

y = (1/2)x + 33

y = (1/2)(98) + 33

y = 49 + 33

y = 82

So the measure of ZA is 98°, and the measure of ZB is 82°.

Step-by-step explanation:

Answer:

Y=2x+1

Step-by-step explanation:

An estimate for the number of pet dogs and cats in the United States based on a recent survey, written as a single digit times an integer power of 10 is 2 x 10⁸.

An estimate is a rough calculation or judgment arrived at when the details are not required or available.

We can apply number approximation, rounding, and scientific notations in estimation, as above.

First, the number, 183,900,000, can be approximated to 200 million pet dogs as an estimate.

Then, 200,000,000 can be written in a standard form or scientific notation by using an integer that indicates the place value in the power of 10.

Thus, 183,900,000 pet dogs can be estimated as 2 x 10⁸.

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The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.

To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:

average rate of change = (change in output)/(change in input)

where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.

For the function g(x), let's assume we have the following values:

g(1) = 3

g(1.5) = 4

g(2) = 6

g(1+h) = 3h + 1

Then we can calculate the average rate of change over the intervals as follows:

[1, 2]:

change in output = g(2) - g(1) = 6 - 3 = 3

change in input = 2 - 1 = 1

average rate of change = (change in output)/(change in input) = 3/1 = 3

[1, 1.5]:

change in output = g(1.5) - g(1) = 4 - 3 = 1

change in input = 1.5 - 1 = 0.5

average rate of change = (change in output)/(change in input) = 1/0.5 = 2

[1, 1+h):

change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2

change in input = 1+h - 1 = h

average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h

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Answer: hello your question is poorly written attached below is the complete question

answer:

i) Degrees of freedom : 2, 46 , 44

ii) Mean square : 650 , 13.4

iii) F = 47.65

Step-by-step explanation:

First treatment = 12 experimental units

Second treatment = 15 experimental units

Third treatment = 20 experimental units

completing  the analysis

i) Degree of freedom

for Treatments = 3 - 1 = 2

for Total = ( 12 + 15 + 20 ) - 1 = 47 - 1 = 46

for error = 46 -2 = 44

ii) Mean square

  for treatments = sum of squares / degree of freedom = 1300/2 = 650

  for error = 600 / 44 = 13.64

iii) F

= Ms of treatment / Ms of error

= 650 / 13.64 = 47.65

Answer:

  (d)  519

Step-by-step explanation:

You want the ratio of (7.785×10^10) to (1.5×10^8) expressed in standard form.

Since you want the result in standard form, it can work well to make the numerator and denominator powers of ten be the same.

  \(\dfrac{7.785\times10^{10}}{1.5\times10^8}=\dfrac{7785\times10^7}{15\times10^7}=\dfrac{7785}{15}=\boxed{519}\)

Answer:

y = 3/2x -6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point into the equation

3 = 3/2(6)+b

3 = 9+b

Subtract 9 from each side

3-9 = 9+b-9

-6 = b

y = 3/2x -6

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer: 678

Step-by-step explanation: ii

There are no possible combination of arrows for a score of exact 100.

In a sequence of numbers there  are many numbers having a kind of relation between them. On the basis of this relation a sequence can be categorised as arithmetic, geometric or harmonic sequence.

Given that,

The scores achieved by Juanita by each arrow are 16, 17, 23, 26, 29 or 40.

In order to find the minimum number of arrows for the total score of 100, find three larger scores adding up to 100 as follows,

The largest score is 40.

The remaining 60 can be found by adding the combinations of remaining numbers as,

16 + 17 = 33,

29 + 13 + 17 = 59

26 + 17 + 29 = 72

And so on.

Thus, it is clear from the given numbers that no possible combination can give a sum of exact 100.

Hence, Juanita has no combination of arrows for getting a score of exact 100.

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a) The population would be 80

b) The population would be 3122

c) The time would be 7.8 hours

Exponential growth is a mathematical concept that describes the rapid and continuous increase of a quantity over time. This has been applied to the bacteria problem that we have here.

At the sixth hour;

P =4e^0.5t

P = 4e^0.5(6)

P = 80

2) 4e^0.5(14) - 4e^0.5(5)

4387 - 1265

= 3122

3) For 200 bacteria;

200 = 4e^0.5t

50 = e^0.5t

ln50 = 0.5t

t = ln50/0.5

t = 7.8 hours

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9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

Answer:

-10(1+2x)

Step-by-step explanation:

-10-20x

-10(1+2x)

Answer:

sorry dunno

Step-by-step explanation:

:c

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

14.4 yards^2

Step-by-step explanation:

area of a trapezoid is (a+b/2)*h with a and b being the bases and h being the height so,

((3 1/5 + 5 3/5)/2)*8=14.4yards^2

Answer:

Perimeter: 30 Area: 30

Step-by-step explanation:

Perimeter of a triangle= Add all sides = 5+12+13 = 30

Area of a triangle= (B*H)/2 = (5*12)/2 = 60/2 = 30

Hope this helps! :)

Answer: $2,904

1,100x4 than multiply by .22 then with that you multiply by 3.

$726 money will the employment agency receive for placing Cherie in her new job.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Cherie accepted a job through an employment agency

The job pays $1,100 weekly.

The agency charges 22% of her first three months, pay.

22% of 1100 we have to calculate.

First we have to convert 22% to decimal

22/100=0.22

0.22×1100=242

Now for three months we need to calculate.

3×242

$726

Hence, $726 money will the employment agency receive for placing Cherie in her new job.

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The solution using correct step of substitution in the equation y=2x-1 4x+y=2 is x = 1/2 and y = 0

y = 2x - 1

4x + y = 2

4x + y = 2

4x + (2x - 1) = 2

4x + 2x - 1 = 2

6x - 1 = 2

6x = 2 + 1

6x = 3

x = 3/6

x = 1/2

y = 2x - 1

y = 2(1/2) - 1

= 2/2 - 1

= 1 - 1

y = 0

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Answer:

x=34

Step-by-step explanation:

2x =68

-----------             (68 divided by 2 is 34)

2        2

x=34

Answer:

the answer would be A. x=34

Step-by-step explanation:

to solve for x in this equation, you need to get x all by itself to do this, you need to remember that what you do to one side of the equation, you must do to the other. so:

we start with 2x=68, and to get rid of the 2 in front of the x, divide each side by 2.

2x/2=68/2

so now x is alone:

x=68/2

and now divide 68 by 2, which is 34.

so, x=34

Answer:

\(\boxed{\bold{C \ = \ \frac{-13}{48} \ or \ -0.27083333333}}\)

Explanation:

8c + 3 = −40c − 10

[ Step 1: Add 40c to both sides ]

8c + 3 + 40c = −40c − 10 + 40c

48c + 3 = −10

[ Step 2: Subtract 3 from both sides ]

48c + 3 − 3 = −10 − 3

48c = −13

[ Step 3: Divide both sides by 48 ]

48c / 48 = −13 / 48

C = -13 / 48 or -0.27083333333

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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