Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare
the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222....
Answer parts a and b.
Write this number as a fraction.

There are 11.2% more men than women

The First step is to calculate the percentage of men in attendance

There are 75 men and 60 women

Total number of people in attendance= 75 +60

= 135

75/135 × 100

= 0.556 × 100

= 55.6

The percentage of women in attendance

= 60/135 × 100

= 0.444 × 100

= 44.4

Next step is to subtract both percentages

= 55.6 - 44.4

= 11.2

Hence there are 11.2% more men that women

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Answer:

23˚

Step-by-step explanation:

If x = 10, then angle VYZ = 157 by basic algebra. Knowing that VYZ and WYZ are supplementary angles, we can do 180-157 to find angle WYZ. 180-157 = 23˚

The value of the fifth term based on the expression a + (n - 1) + 6 is 14.

From the information, it should be noted that the first term has been given and the nth series has been given.

It should be noted that the fifth term will be:

= a + (n - 1) + 6

where

a = 4

n = 5

Therefore, a + (n - 1) + 6

= 4 + (5 - 1) + 6

= 4 + 4 + 6

= 14

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a_1=4 and an=a + {n-1}+6. Find the fifth term

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

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From the box-and-whisker plot of the distribution, we have that:

The plot of the distribution is missing, as is given at the end of the answer.

It asks to describe:

A box and whisker plot shows five things:

For the plot in this problem, we have that:

Hence:

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The absolute value inequality that represents the number of hours spent on doing homework is 2 ≤ x ≤ 5

Let us assume that one spends x hours doing homework on a typical weekday. Then we can write

The inequality expression for a slow weekend is given as;

X ≥ 2

In the same vein, the inequality expression for a busy weekend is given as;

X ≤ 5

Pooling the two inequalities expression we have;

2 ≤ x ≤ 5

Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality and is often written in the form a ≤ f (x) ≤ b

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The simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19

Rewrite the above expression as

(y + 3)(y - 3)(y^2 + 9) - (2y^2 - y)^2 - 19

Apply the difference of two squares formula

So, we have

(y^2 - 9)(y^2 + 9) - (2y^2 - y)^2 - 19

Evaluate the product

So, we have

(y^4 - 81) - (2y^2 - y)^2 - 19

Hence, the simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

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Answer:

47mph

Step-by-step explanation:

329/7=47

The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

Parabolic path is defined as the angle of trajectory of a projectile.

We have,

y = 0.4x² + 1.6x + 5 _____(1)

Where,

x = balls horizontal distance

y = height of the ball

To find the maximum height we need to differentiate y and set y = 0.

y' = 0

0.4 x (2x) + 1.6 + 0 = 0

0.8x + 1.6 = 0

-0.8x = -1.6

x = 1.6 / 0.8

x = 2

Now the maximum height of the ball is:

Put x = 2 in (1)

y = -0.4 x (2)² + 1.6 x (2) + 5

y = 0.4 x 4 + 3.2 + 5

y = 1.6 + 3.2 + 5

y = 9.8

The distance the ball travels horizontally before hitting the ground:

x = 2

The equation that models the​ ball's parabolic path is given below:

Thus,

The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

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Answer: w2

Step-by-step explanation:

It is just w2, or w*2, or w x 2. You just have the number w twice.

Denote by x the number of miles traveled.

Denote by p(x) the price paid

[tex]p(x) = 2 + 0.75x[/tex]

[tex]p(12) = 2 + 0.75(12) \\ p(12) = 2 + 9 \\ p(12) = 11 \: dollars[/tex]

No he is not, since they stated that the price is equal to two more than the product of 0.75 and the distance traveled, in this case represented by the variable m

Answer:

13+2=15+2=17+2=19+2=21

1+5=6+5=11+5=16+21

(The Pink Answer)

Answer:

71.5556 but since you cant have half a pizza its only 71

Step-by-step explanation:

Answer:

t=−7/6

I hope this helps.

Hey there!

(5.4)^2

= 5.4^2

= 5.4 * 5.4

= 29.16

Therefore, your answer should be:

29.16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

After solving the equation, x  = 4/5 is the value of x in [tex]2^{5x+1} = 32[/tex]

⇒ [tex]2^{5x+1} = 32[/tex]

⇒    [tex]2^{5x+1} = 2^5[/tex]

⇒ 5x + 1 = 5

⇒ 5x = 5 - 1

⇒ 5x = 4

⇒ x  = 4/5

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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The distance being proportional to the time Hector walked 2 km in 18 minutes.

Two variables are proportional if they can be written in the form ak=b where k is the proportionality constant.

Here the proportionality constant is speed.

Speed is defined as the distance covered in unit time. The unit of speed can be written as kilometer per hour, miles per hour or meters per second.

The distance is proportional to the time walked therefore:

1.5/2=13.5/T₁

or, T₁=18

Similarly:

1.5/4.5=13.5/T₂

or, T₂=40.5 minutes

again,

1.5/5=13.5/T₃

or, T₃=45 minutes.

Hence the total time taken to complete the distances 2,4.5 and 5 is given by 18,40.5 and 45 minutes.

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Answer:

Below

Step-by-step explanation:

Ok, there is a few ways to slove this problem. You could just try to plug in both xs and see which is true, or you could actually do the math. I will do the math.

Alright, the first question is a corrseponding angle, so they are equal to each other. Set it up like this:

3x-1=x+5

Now, you need to get the variable by itself, so do that.

3x-1=x+5

    +1    +1

3x=x+6

-x  -x

2x=6

/2    /2

x=3

The arrow will go to the right.

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+10+6x+2=180

Now, solve

8x+10+6x+2=180

Combine like terms (8x+6x)+(10+2)

14x+12=180

      -12  -12

14x=168

/14   /14

x=12

Your arrow will go down.

Same side interior angles is your next problem, and it is like same side exterior angles as it equal 180. Set up your equation accordingly

10x-8+5x+8=180

Combine like terms (10x+5x)+(8-8)

15x=180

/15   /15

x=12

Your arrow will go down.

These are opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

9x+18=10x-8

Get the variable on one side and by themselves

9x+18=10x-8

    +8         +8

9x+26=10x

-9x        -9x

26=x

Your arrow will go upper corner right

This problem is opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

2x+5=3x-7

   +7       +7

2x+12=3x

-2x      -2x

12=x

Your arrow will go up

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+5+2x-15=180

Combine like terms (8x+2x)+(5-15)

10x-10=180

    +10  +10

10x=190

/10   /10

x=19

Arrow goes diagonal right down

The angles are opposite side interior angles, so they are equal to each other. Set up your equation like this:

4x-4=-3x+52

    +4       +4

4x=-3x+56

+3x +3x

7x=56

/7   /7

x=8

That is your finish!

Function f(x) to represent the 10-point bonus. f(x) = x+10

Function g(x) to represent the 9% increase. g(x) = X +0.09x

                                                                     g(x) = 1.09x

Use a composite function to find your grade if the 10-point bonus is applied before the 9% increase.

(g.f)x = g(f(x))

  f(75) = 85

 g(85) = 92.65

Use a composite function to find your grade if the 9% increase is applied before the 10-point bonus.

(f.g)(x) = f(g(x))

g(75) = 1.09(75) = 81.75

f(x) = 81.75+10 = 91.75

You would want 10 point bonus applied  before percentage increase. the 10 point bonus is flat increase.

whereas the percentage increased larger if multiplying by  a bigger number  your grade would be almost 1% higher with is option

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Answer: graph the function defined by the formula g(x) = f(x)+2. To graph y = f(x) - k, shift the graph of y = f(x) down k units by subtracting k from.

Step-by-step explanation:

In the form y = ab^x, if b is a number between 0 and 1, the function represents exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Radioactive decay and population decline are two examples of exponential decay. The data collected can be used to forecast future population trends for cities and colonies as well as the half-life of radioactive materials.

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Table with proportionality 2 is table 3

Percussion    string

   1                      2

   2                     4

   3                     6

A proportion is an equation in which two ratios are set equal to each other.

from first table

2/3

4/6=3/2

6/9=3/2

from second table

2/5

4/10=5/2

6/15=5/2

From the third table

2/1=2

4/2=2

6/3=2

and from fourth table

2/4=1/2

4/8=1/2

6/12=1/2

hence, the table with proportionality 2 is table 3.

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The function that represents the total amount of money in both accounts at the end of three years as

First Bank - 107 P / 100

Second Bank - 10747 P / 10000

Simple interest :

    Simple interest can be calculated as follows

S.I = PRT / 100

Let the amount invested in two banks be 'P'

First Bank :

Given the first bank offers an interest rate of 3% for the first year and 2% for the next two years as

R₁ = 3%, R₂ = 2% T₁ = 1, T₂ = 2

Now the simple interest for the first bank is

S. I = PR₁T₁ / 100 + PR₂T₂ / 100

     = P(3*1 / 100 + 2*2 / 100)

     = P(3 / 100 + 4 / 100)

     = 7P/100

The total amount of money in the first bank at the end of three years is

= S.I + P

= 7P / 100 + P

= 107 P / 100

Second Bank:

Given the second bank offers an interest rate of 2.49% for the three years as

R = 2.49, T = 3

Now the simple interest for the second bank is

S. I = PRT / 100

     = P(2.49 * 3 / 100 )

     = P(7.47 / 100)

     = 7.47P/100

The total amount of money in the second bank at the end of three years is

= S.I + P

= 7.47P / 100 + P

= 107.47 P / 100

= 10747 P / 10000

Therefore, the function that represents the total amount of money in both accounts at the end of three years as

First - 107 P / 100

Second - 10747 P / 10000

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For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

First subtract 28 by 7.

28 - 7 = 21

Then multiply 28 times 3

28 times 3 is 84

Then finally divide 84 by 21

84/21 = 4

Each of the children would get 4 apples

Step-by-step explanation:

Answer:

250% decrease

Step-by-step explanation:

How many times does 100 go into 250. 2.5 times. Thus it is 250%

Answer: First you used distribute property

7(2+6) bring 7 into the parentheses

14+42 Then you just add

56 that’s the sum

Step-by-step explanation: hope this helps

Answer:

If y varies directly as x and y= 64 when x=4 find x when y=48

x=3