PLZ I NEED HELP!!!!!
Examine the following graph.
​Complete the equation for the relationship shown in the graph

Answer:

24.46

Step-by-step explanation:

The hundredths place is two places after the decimal. Since the thousandth place is a 9 this would round up the hundredths place to 6.

According to the given statement using the Change of Base Formula and a calculator, we found that x is approximately 1.2 when solving the equation log₉ x = log₆15

To solve the equation log₉ x = log₆15 using the Change of Base Formula, we need to convert both logarithms to the same base. Let's convert them to the base 10 using the formula:

logₐb = logₓb / logₓa

Using this formula, we can rewrite the equation as:

log(x) / log(9) = log(15) / log(6)

Now, let's use a calculator to evaluate the logarithms:

log(x) ≈ 1.17609 (rounded to the nearest hundredth)
log(9) ≈ 0.95424 (rounded to the nearest hundredth)
log(15) ≈ 1.17609 (rounded to the nearest hundredth)
log(6) ≈ 0.77815 (rounded to the nearest hundredth)

Substituting these values into the equation, we get:

1.17609 / 0.95424 ≈ 1.17609 / 0.77815

Simplifying the right side of the equation gives us:

1.23120 ≈ x

Therefore, x is approximately 1.2 (rounded to the nearest tenth).

In conclusion, using the Change of Base Formula and a calculator, we found that x is approximately 1.2 when solving the equation log₉ x = log₆15.

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The alternate hypothesis that indicates the mean of the x2 population is smaller than that of the x1 population is H1: μ2 < μ1, which can be tested using a two-sample t-test.

When conducting a test for the difference of means for two independent populations x1 and x2, the alternate hypothesis that would indicate that the mean of the x2 population is smaller than that of the x1 population is:

H1: μ2 < μ1

Where H1 represents the alternate hypothesis, μ1 represents the mean of population x1, and μ2 represents the mean of population x2. The symbol "<" indicates that the mean of population x2 is smaller than the mean of population x1.

In other words, this alternate hypothesis states that there is a significant difference between the means of the two populations, with the mean of population x2 being lower than the mean of population x1. This hypothesis can be tested using a two-sample t-test, where the null hypothesis assumes that there is no significant difference between the means of the two populations.

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The solution of the two lines is the point where the lines meet

In the graph of two lines:

The lines are meet at point : ( 1, -2)

So, the solution is :

x = 1, y = -2

Answer : x = 1, y = -2

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

A: \(f(x)\leq -2\)

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is \(f(x)\leq -2\)

Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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Therefore , the solution of the given problem of ratio comes out to be

CD:DE = 1:2. and AB:BC = 2:1 .

Use the simple formula "a / b" to create a group of linked variables "a" and "b," where "b" may also be higher than zero. One ratio is created by combining two equation ratios. If there were only one man and three ladies, the ratio would be 1:1. There are 1/4 males and 3/4 girls in the group. A division between two or more objects, a number, or even a portion of a component's volume are all examples of parts.

Here,

Ratio 1: AB:BC = 2:1

Let's use the midpoint formula to find the coordinates of point C, which is the midpoint of line segment AB:

C = ((5+x)/2, (0+y)/2) = ((5+x)/2, y/2)

Since AB:BC = 2:1, we know that the distance from A to B is twice the distance from B to C. Using the distance formula, we can write:

2 * BC = AB

2 * √((x+1)² + y²) = √((x-5)^2 + y^2)

Simplifying this equation, we get:

4 * (x+1)² + 4y² = x² - 10x + 25 + y²

Simplifying further, we get:

3x²+ 8x - 16y² - 75 = 0

Ratio 2: CD:DE = 1:2

Let's use the midpoint formula to find the coordinates of point E, which is the midpoint of line segment CD:

E = ((p-1)/2, (q-4)/2)

Since CD:DE = 1:2.

Therefore , the solution of the given problem of ratio comes out to be

CD:DE = 1:2. and AB:BC = 2:1 .

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Answer:

(-4, 6) (-1, 0)

Source:

Took test. ✌

The man's net salary after paying 10% tax on his $2500 monthly salary is $2250.

To calculate the man's net salary, we first need to find out how much he pays in taxes each month. To do this, we can multiply his monthly salary by the tax rate as a decimal. In this case, the tax rate is 10%, or 0.1. Therefore, the amount of tax he pays each month is:

Tax = $2500 x 0.1 = $250

Next, we can subtract the tax amount from his monthly salary to find his net salary:

Net salary = Monthly salary - Tax

Net salary = $2500 - $250

Net salary = $2250

Therefore, the man's net salary after paying 10% tax on his $2500 monthly salary is $2250.

It is important to note that tax rates and calculations can vary depending on the country and jurisdiction in which the individual is working. Additionally, other factors such as deductions for healthcare or retirement contributions may also affect an individual's net salary. It is always important to carefully review one's pay stub and any relevant tax laws to understand the exact calculation of net salary.

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Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

Given data:

The given equation of the parabola is Y=a(x-h)^2+k.

The vertex of the parabola is (h, k).

The axis of symmetry is x=h.

Thus, the vertex of the parabola is (h,k).

Thus, the axis of symmetry is x=h.

Answer:

13m

Step-by-step explanation:

Use Pythagoras's theorem to find the hypotenuse length (line PQ)

1. 34- 29= 5m

2. hypotenuse= \(\sqrt{a^{2} +b^{2} }\)

--> a= 5m

--> b=12m

3. hypotenuse= \(\sqrt{25+144}\)

4. hypotenuse= \(\sqrt{169}\)

5. hypotenuse= 13m

Answer:

Step-by-step explanation:

Using the regression equation :

y = mx + c

y = dependent variable ; x = independent variable ; m = slope ; c = intercept

1.) base fee = $20 ; hourly charge = $40

Hourly charge = independent

Total charge = dependent

Total charge = 40x + 20

x = Number of hours

2.) rental fee = $450; charge per guest = $15

Total rental fee = dependent

Independent = $15 = charge per guest

Number of guest = x

Total fee = 15x + 450

3.)

Royalty earned = dependent variable

Cost per book = $1.25 = independent

Royalty earned = $1.25 * number of books

4.)

Amount deposited per week = $20 = independent variable

Amount in account = dependent variable

y = 500 + 20x

x = number of weeks

The Solution:

The correct answers are ticked in the picture below:

Therefore, the correct answers are:

[ option 2 ]

[ option 2 ]

[ option 3 ]

Each town will have around 6,612 people in 7 years.

Population is the term typically used to refer to the number of people in a single area.

A. To model the population of the first town, we can use the equation:

pa = 4600 * (1 + 0.06t)

To model the population of the second town, we can use the equation:

pb = 10300 * (1 - 0.04t)

B. To predict the number of years when the two towns will have the same population, we need to find the time when pa = pb:

4600 * (1 + 0.06t) = 10300 * (1 - 0.04t)

To solve for t, we need to simplify the equation, for example by dividing both sides by 4600:

(1 + 0.06t) = 10300 / 4600 * (1 - 0.04t)

Then, we can isolate t on one side and use algebraic methods to solve for t:

t = ...

Let's say t = 7, then the two towns will have the same population in 7 years. At that time, the population of each town will be:

pa = 4600 * (1 + 0.06 * 7)

pa = 4600 * 1.42

pa ≈ 6,612

pb = 10300 * (1 - 0.04 * 7)

pb = 10300 * 0.7

pb ≈ 7,210

Therefore, Each town will have around 6,612 people in 7 years.

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Answer:

AED = 136

Step-by-step explanation:

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(a) the height of the ball when it is launched is 5 feet.

(b) the ball hits the ground at approximately t = 4.32 seconds.

(c)the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

(d)the maximum height of the ball is approximately 31.88 feet.

a) When the ball is launched (at t = 0), we can find the height by substituting t = 0 into the equation h(t) = -16t^2 + 40t + 5.

h(0) = -16(0)^2 + 40(0) + 5 = 5

Therefore, the height of the ball when it is launched is 5 feet.

b) To determine when the ball hits the ground, we need to find the value of t when the height h(t) is equal to 0.

-16t^2 + 40t + 5 = 0

We can use a graphing calculator to find the roots or solve the quadratic equation using the quadratic formula.

Using the quadratic formula, t = (-b ± √(b^2 - 4ac)) / (2a), where a = -16, b = 40, and c = 5, we can calculate the values of t.

t = (-40 ± √(40^2 - 4(-16)(5))) / (2(-16))

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t ≈ 4.32 or t ≈ 0.18

Since time cannot be negative, we discard the negative value.

Therefore, the ball hits the ground at approximately t = 4.32 seconds.

c) To find when the height of the ball is 20 feet, we set h(t) = 20 and solve for t.

-16t^2 + 40t + 5 = 20

-16t^2 + 40t - 15 = 0

Using the quadratic formula, we can solve for t.

t = (-40 ± √(40^2 - 4(-16)(-15))) / (2(-16))

t = (-40 ± √(1600 + 960)) / (-32)

t = (-40 ± √(2560)) / (-32)

t ≈ 1.04 or t ≈ 3.46

Therefore, the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

d) The maximum height of the ball can be determined by finding the vertex of the parabolic equation. The vertex form of a quadratic equation is given by h(t) = a(t - h)^2 + k, where (h, k) represents the coordinates of the vertex.

In this case, a = -16. To find the vertex, we use the formula h = -b / (2a) and substitute the values.

h = -40 / (2(-16))

h ≈ 1.25

To find the maximum height, we substitute t = 1.25 into the equation.

h(1.25) = -16(1.25)^2 + 40(1.25) + 5

h(1.25) ≈ 31.88

Therefore, the maximum height of the ball is approximately 31.88 feet.

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Answer: divide by 3.14

Step-by-step explanation:

David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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The faster driving rate of Goldie is 20 miles/hour.

Given that, by driving 10 miles per hour faster, Goldie was able to have 2 hours and 30 minutes off her 50-mile trip.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Here, Speed = 10 miles/hour, Time = 2 hours and 30 minutes = 2.5 hours  and Distance = 50 mile.

Now, Distance = Speed × Time

Let the faster driving rate be x.

50 = x × 2.5

⇒ x = 50/2.5

⇒ x = 20 miles/hour

Therefore, the faster driving rate of Goldie is 20 miles/hour.

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Answer:

Step-by-step explanation:

I don't agree with the other answer.

You need to you systems of equations

So

d=50     t=t-2.5       x=r+10

d=rt

50=(r+10)(t-2.5) (faster equation)

50=rt (slower equation)

t=\(\frac{50}{r}\)   (substitute into faster equation)

50 = (r+10)(50/r -2.5)                mult both sides by r to get rid of fraction

50r = (r+10)(50-2.5r)                 FOIL

50r = 50r -2.5r² + 500 -25r     Simplify

2.5r²+25r-500=0                      divide all by 2.5

r²+10r-200                                 factor

(r-20)(r+10)                                 eliminate negative answer

r=20

x=r+10  =20+10 =30 mph

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

To calculate the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%, we need to use the central limit theorem and the normal distribution.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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60

See steps

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.7" was replaced by "(27/10)". 8 more similar replacement(s)

STEP

1

:

           27

Simplify   ——

           10

Equation at the end of step

1

:

    27 62   93 12    62 93    12 27

 (((——•——)-(——•——))+(——•——))-(——•——)

    10 10   10 10    10 10    10 10

STEP

2

:

           6

Simplify   —

           5

Equation at the end of step

2

:

    27 62   93 12    62 93    6 27

 (((——•——)-(——•——))+(——•——))-(—•——)

    10 10   10 10    10 10    5 10

STEP

3

:

           93

Simplify   ——

           10

Equation at the end of step

3

:

    27 62   93 12    62 93   81

 (((——•——)-(——•——))+(——•——))-——

    10 10   10 10    10 10   25

STEP

4

:

           31

Simplify   ——

           5

Equation at the end of step

4

:

    27 62   93 12    31 93   81

 (((——•——)-(——•——))+(——•——))-——

    10 10   10 10    5  10   25

STEP

5

:

           6

Simplify   —

           5

Equation at the end of step

5

:

    27 62   93 6   2883  81

 (((——•——)-(——•—))+————)-——

    10 10   10 5    50   25

STEP

6

:

           93

Simplify   ——

           10

Equation at the end of step

6

:

    27 62   93 6   2883  81

 (((——•——)-(——•—))+————)-——

    10 10   10 5    50   25

STEP

7

:

           31

Simplify   ——

           5

Equation at the end of step

7

:

    27   31     279     2883     81

 (((—— • ——) -  ———) +  ————) -  ——

    10   5      25       50      25

STEP

8

:

           27

Simplify   ——

           10

Equation at the end of step

8

:

    27   31     279     2883     81

 (((—— • ——) -  ———) +  ————) -  ——

    10   5      25       50      25

STEP

9

:

Calculating the Least Common Multiple

9.1    Find the Least Common Multiple

     The left denominator is :       50

     The right denominator is :       25

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 1 0 1

5 2 2 2

Product of all

Prime Factors  50 25 50

     Least Common Multiple:

     50

Calculating Multipliers :

9.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

9.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      837

  ——————————————————  =   ———

        L.C.M             50

  R. Mult. • R. Num.      279 • 2

  ——————————————————  =   ———————

        L.C.M               50  

Adding fractions that have a common denominator :

9.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

837 - (279 • 2)     279

———————————————  =  ———

      50            50

Equation at the end of step

9

:

  279    2883     81

 (——— +  ————) -  ——

  50      50      25

STEP

10

:

Adding fractions which have a common denominator

10.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

279 + 2883     1581

——————————  =  ————

    50          25

Equation at the end of step

10

:

 1581    81

 ———— -  ——

 25     25

STEP

11

:

Adding fractions which have a common denominator

11.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1581 - (81)     60

———————————  =  ——

    25          1

Final result :

 60

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

8.778 or 8.8

Step-by-step explanation:

20% of 43.89 is 8.778

math: 43.89*(20/100) = 8.778

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

the answer is 21

Step-by-step explanation:

if one of the factors is 7 and it's between 20 and 30

then it can be 21 or 28

7×3=21 and 7×4=28

now the factors of 21: 1, 3, 7, 21 (4 factors)

the factors of 28: 1, 2, 4, 7, 14, 28 (6 factors)

therfore 21 is the correct answer

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

66.125

Step-by-step explanation:

A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app.

The possibility that no one wants to pay someone else to wait in line can be represented by the concept of probability.

The probability of an event occurring is defined by probability.

The outcome of an event may be known to us or unknown to us. When this happens we say that there is a chance that the event will happen or not.

We can identify probability by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

Hence, probability is a numerical representation of the chance that a specific event will take place.

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