Rodolpho uses a prepaid gas card to spend $35 each week for gas. After the first week, he has $140 left on the card. After everything he second week he has $105, and so on. Which equation represents the cash balance on his card after t weeks?

answers:
y= -35t + 140
y= -35t + 175
y= 245 - 35t
y= 175+ 35t​

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

The total number of options is given by:

N = 2 x 5 = 10.

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The composite functions [f(2) g∘f(f(2))] = [4 71] and it does not equal 0.

To find the value of [f(2) g∘f(f(2))] when it equals 0, we need to substitute the given value of 2 into the functions and solve for x.

First, let's find f(2):

\(f(x) = 2x^2 - 2x\)

\(f(2) = 2(2)^2 - 2(2)\)

\(f(2) = 2(4) - 4\)

\(f(2) = 8 - 4\)

\(f(2) = 4\)

Next, let's find g∘f(f(2)):

\(g(x) = 3x - 1\)

\(f(2) = 4\) (as we found above)

\(f(f(2)) = f(4)\)

To find f(4), we substitute 4 into the function f(x):

\(f(x) = 2x^2 - 2x\)

\(f(4) = 2(4)^2 - 2(4)\)

\(f(4) = 2(16) - 8\)

\(f(4) = 32 - 8\)

\(f(4) = 24\)

Now, we can find g∘f(f(2)):

\(g∘f(f(2)) = g(f(f(2))) = g(f(4))\)

To find g(f(4)), we substitute 24 into the function g(x):

\(g(x) = 3x - 1\)

\(g(f(4)) = g(24)\)

\(g(f(4)) = 3(24) - 1\)

\(g(f(4)) = 72 - 1\)

\(g(f(4)) = 71\)

So, The composite functions [f(2) g∘f(f(2))] = [4 71] and it does not equal 0.

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Check the picture below.

let's recall that the centroid of a triangle cuts the medians into a 2:1 ratio, so one part of the median is 2/3 of the whole length whilst the other is 1/3 of it, namely as you see in the picture, thus

\(BD=\cfrac{2}{3}BF\implies 2x+40=\cfrac{2}{3}18x\implies 2x+40=12x \\\\\\ 40=10x\implies \cfrac{40}{10}=x\implies 4=x\)

A. The differential equation for the amount of drug present in the bloodstream at any given time can be written as follows: dA/dt = 5 * 100 - 0.4 * A where A represents the amount of drug in the bloodstream at time t.

The first term, 5 * 100, represents the rate at which the drug enters the bloodstream, calculated by multiplying the concentration (5 mg/cm^3) with the rate of fluid entering (100 cm^3/h). The second term, 0.4 * A, represents the rate at which the drug is leaving the bloodstream, which is proportional to the amount of drug present in the bloodstream.

B. To determine the amount of drug present in the bloodstream after a long time, we can solve the differential equation by finding the steady-state solution. In the steady state, the rate of drug entering the bloodstream is equal to the rate of drug leaving the bloodstream.

Setting dA/dt = 0 and solving the equation 5 * 100 - 0.4 * A = 0, we find A = 500 mg. This means that after a long time, the amount of drug present in the bloodstream will reach 500 mg. This represents the equilibrium point where the rate of drug entering the bloodstream matches the rate at which it is leaving the bloodstream, resulting in a constant amount of drug in the bloodstream.

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Answer:

10.16 cm

Step-by-step explanation:

1ft=254

4ft= x

so cross multiply

than the answer will be 10.16cm

Answer:

10.16 centimeters

Step-by-step explanation:

I'm not 100% sure because its super late where I live so I might have messed up . . . but I'm pretty sure its right.

  Hope This helps!!

 Sorry if it is wrong!!

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

last statement is false

Step-by-step explanation:

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

y = - x + 6

Step-by-step explanation:

a) A histogram representing coat color for the initial colony your graph is given below.

b) Due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

a) It's critical to understand the geographic distribution of Oldfield mice prior to the histogram presentation. Santa Rosa Island is classified into two primary geographic locations: inland and coastal, although having various different geographical settings.

Oldfield mice come in a variety of colors; fawn-colored (medium or dark) individuals are typically found in inland regions, whilst lighter or white individuals are found in coastal regions. As a result, Santa Rosa Island should have more colored mice and the beach should have more light-hued mice.

b) Oldfield colonists have predominantly dark coat colors, according to the image. The second histogram shows the coast color of the population following 6000 years of Oldfield and beach mouse hybridization. This is due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

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The complete question is:

Imagine you have a time machine and are able to go back in same so 6,000 years ago. You are standing on newly formed Santa Rosa Island, a barrier island off the coast of Florida that consists entirely of beach habitate. You see that a large and genetically diverse mainland population of oldfield mice have just colonized the island Using all of the information in this case study, answer the following questions and justify your answers with reasoning Questions ists on the island. Write a brief statement justifying.

1. Draw a histogram representing coat color for the initial colony your graph. Describe the population in terms of the proportion of light, medium, and dark individuals.

2. Assuming that this population successfully colonizes the island and persists until the present, add a histogram of the 21" century island population to your figure (make sure that they can be easily compared to each other) Describe the population in terms of light, medium, and dark individuals. Write a brief statement justifying your graph and answer

Answer:

D

Step-by-step explanation:

1/2 is the same as square root

the square of 8 is 2 root 2

then x squared is 2

and y is 2

16 is to the power of 1/4 is 2

Answer:

I think 1/6

Step-by-step explanation:

There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.

hope this help!

Answer:

1/6

Step-by-step explanation:

There are 6 numbers on a die 1,2,3,4,5, and 6. If one number was picked out it would be 1/6

a. The events are dependent because the outcome of one cube affects the outcome of the other cube.

b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.

a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.

There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.

As a result, there are fewer outcomes that could happen, making the events dependent.

b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.

This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).

Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.

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Answer:

5

Step-by-step explanation:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

Answer:20

Step-by-step explanation: Do 15-5=10 then plug in 8 as p then subtract 8 from 6which is 2 .Lastly times 10 by 2 which gives you 20.

I hope it helps :)

Answer:

1.02 pounds left

Step-by-step explanation:

Skip the bar graph, just subtract .28 from .30 and voila!

The answer to the above question is B. Multiply the first equation by -2 and add the second equation.

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."

Given,

\(2x - 2y = 24\\4x + 7y=-40\-4x +4y = -96\\4x+7y = -40\\11y = -136\\y = -136/11\)

The answer to the above question is B. Multiply the first equation by -2 and add the second equation.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The total number of marbles in the box is 25, that is 9 green, 5 blue and 11 red. You wish to know t probability that the single chosen green or blue marble. There are a total of 14 green and blue marbles so the probability is 14/25 or 56%.

The total pay at the end of the week is $618.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.

Thomas gets paid $15 per hour during regular time, hence for 40 hours he gets:

(15)(40) = 600

He works a total of 46 hours:

The additional time worked is 6 hours.

The payment for the additional hours is:

(1.5)(15) = 22.5

For 6 hours he gets:

(6)(22.5) = 135

Hence, the total income that he should get is 600 + 135 = 735.

He gets an deduction of $117, the final pay is:

735 - 117 = 618

Hence, the total pay at the end of the week is $618.

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Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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When we multiply by 10 and when we add 5 then always last digit of that number is always 5.

Let's suppose a number  i am thiking as x which is greater than 0.

(2*x+1)*5

10*x + 5

Teach that when you multiply by 10, you simply shift the digits one place to the left. A zero is used as a place holder. For example, when you multiply 3×10, you shift the digits one place to the left and get a product of 30. When you multiply 6×10, you shift the digits one place to the left to get the product of 60.

The operation to find the total of different values is called addition. Let us know some facts about addition which will help us to learn to add 4-digit and 5-digit numbers.

We can see 10*x is always ends with 0 and when we add 5 into it we always get 5 in last.

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

A

Step-by-step explanation:

The point estimate for the population proportion of one category in the pie chart is 80.28%. The 95% confidence interval for the true population proportion and the population mean of Quantitative 1 data cannot be determined without additional information such as sample size and data values.

The point estimate for the population proportion of one category in the pie chart, which represents qualitative data, is 80.28%. The 95% confidence interval for the true population proportion can be calculated using statistical methods. Additionally, for the quantitative data represented by Quantitative 1, the point estimate for the population mean needs to be determined. A 95% confidence interval can then be constructed for the true population mean.

Based on the pie chart, one category represents 80.28% of the data, which can be taken as the point estimate for the population proportion of that category. This means that, within the population being studied, it is estimated that 80.28% of the data falls into this particular category.

To construct a 95% confidence interval for the true population proportion, additional information is required, such as the sample size or the number of observations in the data set. With this information, statistical methods, such as using the normal distribution or the binomial distribution, can be applied to calculate the confidence interval.

For the quantitative data represented by Quantitative 1, the point estimate for the population mean needs to be determined. This involves calculating the sample mean from the available data. Once the point estimate is obtained, a 95% confidence interval for the true population mean can be constructed using statistical techniques, typically based on the sample size, standard deviation, and the desired level of confidence.

It is important to note that without specific numerical values and additional information, the exact calculations for the confidence intervals cannot be provided in this response. The approach described here outlines the general steps required to estimate population proportions and means, but actual calculations would require specific data and statistical formulas.

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Answer:

108 cm^2

Step-by-step explanation:

rectangle   + 2  triangle = total area

L x W          + 2    *  1/2 base * height   = total area

(5x12)          + 2    *  1/2 * 12 * 4    = total area

  60              +   48    = 108 cm^2

Answer:

108 cm²

Step-by-step explanation:

To do:

1. find area of rectangle      2. find area of triangles       3. add them together

area of a rectangle = bxh = 5x12 = 60

area of triangle = (bxh)/2 = (12x4)/2 = 24

60+24+24=108

Answer:

Adult=$6, Student-$6 (I got $6 for both)

Step-by-step explanation:

Answer: 0.6666666667

Step-by-step explanation: Simplifying

9t + -3t = 4

Combine like terms: 9t + -3t = 6t

6t = 4

Solving

6t = 4

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Divide each side by '6'.

t = 0.6666666667

Simplifying

t = 0.6666666667

Answer:

6t+4

Step-by-step explanation:

khan said so