rlly need help w this! algebra 2! worth 25 points!

Answer:

Option A,  9b + 10s is correct

Step-by-step explanation:

The complete question is

At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s  

Solution

The price of renting a bike for one hour is $9

The price of renting a scooter for one hour is $10

Given -

Ari rents a bike for b hours and Meg rents a scooter for s hours

Total cost of renting a bike is 9 * b

Total cost of renting a scooter is 10* s

The total cost of renting both the bike and scooter is

9b + 10s

Hence, option A is correct

Option B is correct. It is a plot of the independent and dependent variables.

A scatter diagram is a type of plot or graph that uses Cartesian coordinates to display the values of two variables for a set of data. It is a simple yet powerful way to visualize the relationship between two variables.

The points on the plot represent the values of two variables, the independent variable (X-axis) and the dependent variable (Y-axis). Scatter diagrams provide a visual representation of the relationship between the two variables, which makes it easier to identify patterns such as linear or non-linear relationships.

They also can show correlations, or lack thereof, between two or more variables. Additionally, scatter diagrams can provide insight into the strength of the relationship between the two variables as well as how much of the variation in the dependent variable is explained by the independent variable. For example, a correlation coefficient of 1 indicates a perfect linear relationship, while a correlation coefficient of 0 indicates no relationship between the two variables.

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The correct answer is option A. 2 1/8 when reduced to the lowest terms.

To subtract 3 1/4 - 1 1/8, we need to convert the fractions to a common denominator. The common denominator for 3 1/4 and 1 1/8 is 8. To convert 3 1/4 to 8, we multiply both the numerator and denominator by 2, resulting in 6/8. To convert 1 1/8 to 8, we multiply both the numerator and denominator by 8, resulting in 8/8.

Now we have two fractions with a common denominator of 8. To subtract them, we subtract the numerators and keep the same denominator. We have 6/8 - 8/8, which is -2/8. To reduce this fraction to the lowest terms, we divide the numerator and denominator by the greatest common factor (GCF), which is 2. -2/8 divided by 2 is -1/4. Finally, we add -1/4 to 1 1/8 to get the answer 2 1/8.

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Answer:

-w²+49x²-8wx

Step-by-step explanation:

if you want how I did this it's quite lengthy so let me know if you want the process

Answer:

-w^2 + 21xw - 64x ^2

Step-by-step explanation:

After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.

Let's calculate the new value of the stock after the increase and decrease.

Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.

Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.

Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.

Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.

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Answer:

y= -1/5x + 5

Step-by-step explanation:

An easy way to remember which one is the slope and which one is the intercept in a slope-intercept equation is that the number next to x is always the slope and the number that's a loner is the y-intercept. Hope this helps!

Add

2

y

to both sides of the equation.

−

4

x

=

−

12

+

2

ySolve for

x

in the first equation.

Tap for fewer steps...

Add

2

y

to both sides of the equation.

−

4

x

=

−

12

+

2

y

4

x

+

8

y

=

−

24

Divide each term by

−

4

and simplify.

Tap for fewer steps...

Divide each term in

−

4

x

=

−

12

+

2

y

by

−

4

.

−

4

x

−

4

=

−

12

−

4

+

2

y

−

4

4

x

+

8

y

=

−

24

Cancel the common factor of

−

4

.

Tap for more steps...

x

=

−

12

−

4

+

2

y

−

4

4

x

+

8

y

=

−

24

Simplify each term.

Tap for more steps...

x

=

3

−

y

2

4

x

+

8

y

=

−

24

Replace all occurrences of

x

with

3

−

y

2

in each equation.

Tap for more steps...

12

+

6

y

=

−

24

x

=

3

−

y

2

Solve for

y

in the first equation.

Tap for more steps...

y

=

−

6

x

=

3

−

y

2

Replace all occurrences of

y

with

−

6

in each equation.

Tap for more steps...

x

=

6

y

=

−

6

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

6

,

−

6

)

The result can be shown in multiple forms.

Point Form:

(

6

,

−

6

)

Equation Form:

x

=

6

,

y

=

−

6

4

x

+

8

y

=

−

24 Answer: The answer to your ? is A

Answer:

-1, 1

Step-by-step explanation:

Khan Academy

Answer:

300 ft in one hour.

Step-by-step explanation:

Answer:

The value of x is 88° enjoy

Savanna, Georgia is the U. S. City whose area code can be found within the first ten digits of pi.

The ZIP code is the postal code system used by the United States Postal Service (USPS).

The ZIP code for the city of Savanna is 31416.

The number pi is 3.1416.

According to the above, it can be inferred that the city of Savanna, Georgia is the one with the number pi as its ZIP code number.

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To derive the state-space representation, we introduce state variables x1 and x2. The state equations are x1' = x2 and x2' = -2x1 - x2 - 2x3 - 4x4 - x, with the output equation y = x1. Answer : y = [ 1   0   0   0 ] [ x1 ]

The state equations describe the dynamics of the system and can be obtained by expressing the derivatives of the state variables. In this case, we have:

x1' = x2

x2' = -2x1 - x2 - 2x3 - 4x4 - x

The output equation relates the output variable y to the state variables. In this case, the output equation is:

y = x1

Therefore, the state-space representation of the system is as follows:

State equations:

x1' = x2

x2' = -2x1 - x2 - 2x3 - 4x4 - x

Output equation:

y = x1

In matrix form, the system can be represented as:

[ x1' ]   [ 0   1   0   0 ] [ x1 ]   [ 0 ]

[ x2' ] = [ -2 -1  -2  -4 ] [ x2 ] + [ -1 ]

          [ 0   0   0   0 ] [ x3 ]

          [ 0   0   0   0 ] [ x4 ]

Output equation:

y = [ 1   0   0   0 ] [ x1 ]

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Answer:

Step-by-step explanation:

I assume your expression is:

6x^3-60x^2+144x.

I'll use that information.

Factor 6x^3−60x^2+144x

6x^3−60x^2+144x

=6x(x−4)(x−6)

Answer:

a

Step-by-step explanation:

they are not perpendicular and the answer is -10

Answer:

12

Step-by-step explanation:

Given:

3 bags of each color band

4 kits

To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.

Find the greatest common factor of 3 and 4:

factors of 3 = 1,3,6,9,12,15,18,21,24....

factors of 4 = 1,2,4,8,12,16,20,24...

How many bands are in each kit?​

12 or any other number that is a factor of both 3 and 4 such as 24,..etc.

Answer:

your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)

Step-by-step explanation:

The exponential function gotten from the table is given by y = 650(1.045)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multipliers.

Let y represent the bacteria population after x hours.

The class started out with 650 bacteria cells.

Growth rate = 4.5%

The exponential function gotten from the table is given by y = 650(1.045)ˣ

After 30 hours:

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The experimenter was most likely conducting a randomized controlled trial, also known as a randomized experiment.

In this type of experiment, participants are randomly assigned to different groups, such as an experimental group or a control group, to ensure that any observed effects can be attributed to the intervention being tested rather than other factors.

In this case, the experimenter is using a random number to assign Chris to a group with nineteen other students, which suggests that there may be multiple groups involved in the experiment. This type of design is often used in scientific research to test the effectiveness of a new treatment, intervention, or program.

Randomized controlled trials are considered the gold standard in research design because they provide strong evidence for causal relationships between variables. By randomly assigning participants to different groups, researchers can control for confounding variables and ensure that any observed differences between groups are due to the intervention being tested.

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To calculate the mean absolute deviation (MAD) of the weight of the boxes, we need to follow these steps:

1. Calculate the mean (average) of the weights:

  Mean = (3 + 1 + 2 + 2 + 2) / 5 = 10 / 5 = 2 pounds

2. Calculate the deviation of each weight from the mean:

  Deviation from the mean: 3 - 2 = 1

  Deviation from the mean: 1 - 2 = -1

  Deviation from the mean: 2 - 2 = 0

  Deviation from the mean: 2 - 2 = 0

  Deviation from the mean: 2 - 2 = 0

3. Take the absolute value of each deviation:

  Absolute deviation: |1| = 1

  Absolute deviation: |-1| = 1

  Absolute deviation: |0| = 0

  Absolute deviation: |0| = 0

  Absolute deviation: |0| = 0

4. Calculate the sum of the absolute deviations:

  Sum of absolute deviations = 1 + 1 + 0 + 0 + 0 = 2

5. Divide the sum of absolute deviations by the number of observations (5) to find the mean absolute deviation:

  MAD = 2 / 5 = 0.4 pounds

The mean absolute deviation (MAD) of the weight of the boxes is 0.4 pounds. It represents the average amount by which the weights of the boxes deviate from their mean weight. In other words, it measures the average absolute distance between each individual weight and the mean weight. A smaller MAD indicates that the weights are relatively close to the mean, while a larger MAD suggests more variability or dispersion in the weights of the boxes.

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Answer:

-2, -4, -1.5

Step-by-step explanation:

-6x+10>16

-6x>6

x<-1

(anything less than -1)

Answer:-4, -2, -1.5

Step-by-step explanation: First, simplify the equation. You should get -6x+10>16

Then, substitute the values into the place of x. If they are greater than 16, they are solutions. -4, -2, and -1.5 work. Hope this helps you!

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

C :)

Step-by-step explanation:

Basically in angle R, x times 5 =  the x of R' and y times 5 = the y of R'. If you multiple the x and y value by 5 for all of the coordinates you get you R'S'T' values!

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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The work needed is Work = -9.386 Newton meters.

To determine the work required to compress the spring from 18cm to 16cm, we need to consider Hooke's Law and the concept of potential energy stored in a spring.

Hooke's Law states that the force exerted by a spring is proportional to the displacement from its equilibrium position. It can be expressed as:

F = -k*x

Where:

The potential energy stored in a spring can be calculated using the formula:

PE = (1/2)*k*x²

Given:

To find the spring constant (k), we can use the equation:

m*g = k*x₁

Substituting the given values, we have:

50kg * 9.8m/s² = k*0.18m

k = (50kg * 9.8m/s²) / 0.18m

k ≈ 2694.44 N/m

Now, we can calculate the potential energy at the initial compression (PE1) and final compression (PE2):

PE₁ = (1/2) * k * x₁²

PE₁ = (1/2) * 2694.44 N/m * (0.18m)²

PE₂ = (1/2) * k * x₂²

PE₂ = (1/2) * 2694.44 N/m * (0.16m)²

The work required to compress the spring from 18cm to 16cm is the change in potential energy:

Work = PE2 - PE1

Substituting the values, we can calculate the work:

Work = [(1/2) * 2694.44 N/m * (0.16m)²] - [(1/2) * 2694.44 N/m * (0.18m)²]

Work = -9.386 N*m.

(the sign is negative because the work is needed).

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Answer:

16 is the range

Step-by-step explanation:

First, arrange the numbers from least to greatest.

21, 25, 25, 26, 28, 37

Then, subtract 21 (smallest number) from the 37 (biggest number).

37 - 21 = 16

So, the range is 16

Have a wonderful day!

Answer:

answer is b

Step-by-step explanation:

Answer:

U = 16206 + 22.2x

Step-by-step explanation:

This year, water usage has increased by 20% for both regular days and special events.. Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted

Solution:

Last year regular usage of water was 13505 gallons, where as it was 18.5 gallons per special event. Let us assume that there were x special invents, hence:

The total usage for last year = 13505 + 18.5x

This year, the total usage (U) increased by 20%, hence:

Total usage for this year (U) = total usage for last year + 20% of total usage for last year

U = (13505 + 18.5x) + 0.2(13505 + 18.5x)

U = 13505 + 18.5x + 2701 + 3.7x

U = 16206 + 22.2x

At the 0.01 level of significance (α = 0.01), with a p-value of approximately 0.00, we reject the null hypothesis.

Based on the given information, the consulting group claims that there is a difference in the mean student loan debt between private four-year colleges and public four-year colleges..

To determine if there is sufficient evidence that the mean student loan debt for private four-year colleges is different from the mean student loan debt for public four-year colleges, we can perform a hypothesis test. Let μ1 represent the mean for private four-year colleges and μ2 represent the mean for public four-year colleges.

The null hypothesis (H0) is that there is no difference in the mean student loan debt between the two types of colleges (μ1 - μ2 = 0). The alternative hypothesis (Ha) is that there is a difference (μ1 - μ2 ≠ 0).

Since the population variances are not equal, we can use the unequal variances t-test (also known as Welch's t-test) to analyze the data.

At the 0.01 level of significance (α = 0.01), with a p-value of approximately 0.00, we reject the null hypothesis.

This means that there is sufficient evidence to suggest that the mean student loan debt for private four-year colleges is different from the mean student loan debt for public four-year colleges.

The educational consulting group's claim is supported by the data analysis, indicating a difference in the mean student loan debt between private and public four-year colleges.

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Answer: 6x + 24

Explanation: In this problem, the 6 "distributes" through the parenthses, which means that it multiplies by each of the terms inside.

So we have 6(x) + 6(4) which simplifies to 6x + 24.