Which graph represents a function with a rate of change of 0.5?
5
1
-5 -4 -3 -2
4
5
Ty
5
4
3
2
1

Answer:

1/15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

\(f(x)=x^3-7x^2-6x+72\)

Step-by-step explanation:

\(f(x)=a(x-p)(x-q)(x-r)\\\\f(x)=1(x-6)(x+3)(x-4)\\\\f(x)=(x^2-3x-18)(x-4)\\\\f(x)=x^3-4x^2-3x^2+12x-18x+72\\\\f(x)=x^3-7x^2-6x+72\)

This is because \(x=6\) is the solution to \(x-6=0\), \(x=-3\) is the solution to \(x+3=0\), and \(x=4\) is the solution to \(x-4=0\).

Answer:

-56√3x

Step-by-step explanation:

√147 = 7√3

-8(7√3x)

-56√3x

Answer:

  7)  BC = 10

  8)  BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

  AB +BC +CD = AD

  (3x+2) +(2x+4) +(3x-2) = 28

  8x +4 = 28 . . . . collect terms

  8x = 24 . . . . . . . subtract 4

  x = 3 . . . . . . . . . divide by 8

  BC = 2x+4 = 2(3) +4

  BC = 10

__

8) AB +BD = AC +CD

  (2x -14) +(-7 +3x) = (2x -3) +(9)

  5x -21 = 2x +6

  3x = 27

  x = 9

  BD = -7 +3x = -7 +3(9)

  BD = 20

Answer: G=62, I = 62, H =54

Step-by-step explanation:

3x+26=4x+14

x=12

G=36+26 = 62

180-62-62=54

Answer:

13

Step-by-step explanation:

1+1=2

1+2=3

2+3=5

3+5=8

8+blank=21

21-8=13

Answer:

13

1+1=2+3=5+8=13+21=...

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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help i need help

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Answer:

its 30oz for number 2

Step-by-step explanation:

do 5 x 6

Answer:

Two-sevenths

Step-by-step explanation:

It's the smallest amount just like the middle number

Answer:

2/7

Step-by-step explanation:

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Domain is basically an input while Range is an output. Domain is the set of all x-values while Range is the set of y-values.

\(\large \boxed {domain} = > \large \boxed{range}\)

From input to output. That means from if we substitute domain in the equation, we would get range.

\(f(x) = 4x + 2 \\ f(0) = 4(0) + 2 = 0 + 2 = 2 \\ f(3) = 4(3) + 2 = 12 + 2 = 14 \\ f(6) = 4(6) + 2 = 24 + 2 = 26\)

We input the value of x that are given and we get the value of f(x) which is the output at the specified domain.

\( \large \boxed{2, 14, 26}\)

Answer:

P=15,625

Rate=4%

Time=3 years

CI=P(1+R/100)^T

=15,625(1+4/100)^3

=15,625*1.124864

=17576 Ans

Step-by-step explanation:

hope it helps

With the given information we can get the speed of the kangaroo, with that we will see that:

a) It travels 5 kilometers in 7.5 minutes.

b) in 2 minutes it travels 1.33 km

Remember that speed is defined as the quotient between distance and time. The kangaroo hops 2 km in 3 minutes, then its speed is:

S = 2km/3min = (2/3) km per min.

Now we use the relation:

Speed*Time = Distance

So the time in which the kangaroo travels 5 km is given by:

(2.3 km/min)*T = 5km

T = (5km)/(2/3 km/min) = 7.5 min

Using the same relation:

(2/3 km/min)*2 min = D

1.33 km = D

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the average waiting time cannot be determined when all five checkout lanes are being used.

To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.

Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).

L = λ * W

Given:

Number of checkout lanes (m) = 5

Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)

Arrival rate (λ) = 70 customers per hour

First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:

Arrival rate per lane = λ / m

= 70 customers per hour / 5 lanes

= 14 customers per hour per lane

Next, we can calculate the average time a customer spends in the system (W) using the formula:

W = 1 / (μ - λ)

where μ is the average service rate and λ is the arrival rate per lane.

W = 1 / (3 - 14)

W = 1 / (-11)

W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)

However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.

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Cluster sampling is a method of sampling used in statistics, where the population is divided into several groups called clusters, and some of the clusters are chosen randomly to be included in the sample.

In cluster sampling, all the individuals in a selected cluster are included in the sample. Cluster sampling is useful when the population is too large to be sampled entirely or when the population is geographically dispersed. Randomly choosing 8 elementary schools from the 67 in Guilford county and interviewing all food workers at each of these schools is an example of cluster sampling. This is because the 67 elementary schools are divided into clusters of 8 schools, and a random selection of these clusters is made. Then, all the food workers in the selected clusters are included in the sample, and there is no need to sample food workers from the other schools. In this example, cluster sampling is an effective way of obtaining a representative sample of the food workers in the Guilford County elementary schools.

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Answer:

in edg is B

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

a1 = 4

an=an-1 *3

a2 = a1 *3 = 4*3 = 12

a3 = a2*3 = 12*3 = 36

The time it takes Tom to travel to work has decreased by 25%.

When Tom moved to a new home, his distance to work decreased by 1/2, and the rate at which he travels to work increased by 1/2. The decrease in distance and increase in speed have a combined effect on the time it takes for him to commute.

To calculate the percent decrease in time, we can use the concept of time-speed-distance relationships.

Let's assume the original distance to work is D and the original speed is S. The original time it took for Tom to travel to work can be calculated as T = D/S.

After moving, the new distance to work becomes 1/2D (half of the original distance), and the new speed becomes 3/2S (1/2 more than the original speed).

The new time it takes for Tom to travel to work can be calculated as T' = (1/2D) / (3/2S).

To determine the percent decrease in time, we can compare the original time T with the new time T' and calculate the difference as a percentage of T.

The percent decrease in time is given by ((T - T') / T) × 100.

Substituting the values, we get ((D/S - (1/2D) / (3/2S)) / (D/S)) × 100. Simplifying this expression, we find that the percent decrease in time is 25%.

Therefore, the time it takes Tom to travel to work has decreased by 25% after moving to his new home.

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The number of students in the class is 9200.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The percent of students pursuing economics is 29%.

And, the number of students pursuing economics is 2688.

Suppose the total number of students are x.

Then, the following equation can be written for the given case,

29% of x = 2668

=> 29/100 × x = 2668

=> x = 2668 × 100/29

       = 9200

Hence, the total number of students in the freshman class is 9200.

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If Point P is located at (6, -13). Point Q is located at (6,-43). The length of PQ is 30

Utilize the distance equation: d = [(x2 - x1)2 + (y2 - y1)2]

Change the numbers for (x1, y1) and (x2, y2), the coordinates of the ends.

Calculate the length of the line segment to obtain its value.

A line is a one-dimensional figure without a beginning or an end. It reaches infinity on both sides. It therefore has an indefinite length.

In the above question,

From the distance formula

d = root [(x2 - x1)2 + (y2 - y1)2]

  = root [(6-6)2+(-13+43)2]

   = 30 units

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Answer:

The value 31 can be substituted for x. Only the value 31 can be substituted.

Step-by-step explanation:

So to solve a one step equation the goal is to isolate the variable. As you can tell from we are subtracting the 7. The opposite of addition is subtraction so we want to add the 7. -7 plus a positive 7 is 0 which cancels it out. Now we have x=24. However what you do to one side you need to do to the other. So we add 7 to the 24. 7+24 is 31. Therefore 31 can be substituted for x. Lets check out answer. What is 31-7? 31-7 is 24. Now we know our work was correct

Answer: H - 4,500 mL

Step-by-step explanation:

Check picture below. Hope it's right

Answer:two real number solutions

Step-by-step explanation:

Answer:

-22

-14

6

10

18

Step-by-step explanation:

just plug in the x on the equation