a regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. the manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.what is the volume of the small-size box of dog treats?

Answer:

A. 2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

AB= 8,  DE=4

8/4= 2  

BC= 4, EF=2

4/2= 2

AC= \(\sqrt{208}\),    DF= \(\sqrt{52}\)

\(\sqrt{208}\)/\(\sqrt{52}\)= 2

Answer:

volume of rectangular prism: 8 x 4 x 11= 352

volume of triangular prism: 4 x 8 x 7= 224/2= 112

Volume of composite figure: 352 + 112= 464

Answer:

see explanation

Step-by-step explanation:

volume of rectangular prism = lbh ( l is length, b is breadth, h is height )

Here l = 11, b = 8 , h = 4

V = 11 × 8 × 4 = 352 ft³

volume of triangular prism = Al ( A is area of triangular end and l is its length )

A = \(\frac{1}{2} \) bh ( b is base and h is height )

Here b = 8, h = 4 and l = 7

A = \(\frac{1}{2} \) × 8 × 4 = 4 × 4 = 16 ft² , then

V = 16 × 7 = 112 ft³

volume of composite figure = 352 + 112 = 464 ft³

1. The slope of  the equation 1.5x + 2.5y = 18 is 3/5.

2. y = 7.2

3. x = 12.

The slope, m, of an equation can be determined as the ratio of the rise to the run of the line. In the equation that represents the line in slope-intercept form, y = mx + b, the slope is easily identified as "m", while the y-intercept is identified as "b"

Thus, one a graph, the y-intercept is the point where the line intersects the y-axis while the x-intercept is the point where the line crosses the x-axis.

Given the equation, 1.5x + 2.5y = 18, the graph of the equation is shown in the diagram below.

1. Slope (m) = rise/run = 3/5

2. The graph intersects the y-axis at y = 7.2, therefore the y-intercept is 7.2.

3. The line intersects the x-axis at x = 12, thus, the x-intercept is 12.

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Answer:

Step-by-step explanation:

I'm assuming by 'image point' you mean the translated or final point.

if it has been translated 5 units to the right, the new x-coordinate will be 4 + 5 = 9

Same for the y-coordinate. Since it has been translated down, we will subtract instead of add. therefore, it is -6 - 3 = -9

new point = (9,-9)

Hope this helps

Answer:

Step-by-step explanation:

It is easier to graph using a free online graphing utility, such as DESMOS.  See the attached graph.  If the goal is to make a graph with pencil and graph paper, then select a few values of x  and put them into the equation to find y.

A talble of a few random values is attached.  

The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table.  Add the points to a blank graph and draw a line as best you can that connects all the points.  It is clear that a few more points with negative values of x would help with the line drawing.

On solving the provided question, we can say that the, probability P( 24 period hour) = 5/24

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

here,

E1 = stops at 5 clock

E2 = start at 24 hours

P( 24 period hour) = 5/24

the, probability P( 24 period hour) = 5/24

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A procedure used to collect data that describes the needs and strengths of a specific group, community, or populations is a Needs Assessment. Option c. is correct.

A Needs Assessment is an appraisal procedure that is used to identify and evaluate what an organization or community needs to satisfy its objectives and enhance its overall effectiveness.

To determine what it needs and how it may enhance its efficacy, a Needs Assessment uses a mix of qualitative and quantitative methodologies.

What is a Needs Assessment?

A Needs Assessment is an evaluation technique that seeks to determine what an organization or community needs to accomplish its objectives and enhance its effectiveness. A Needs Assessment assesses the quality of community health programs to enhance their performance and effectiveness. It is an essential tool for any organization or community to assess the strengths and needs of its community members.

The method involves the following steps:

Assessing the community’s resources and deficits.

Collecting information about the community’s cultural history and socioeconomic and political history.

Identifying the community’s needs and assets.

Developing intervention strategies and approaches that are culturally and linguistically tailored to the community.

Prioritizing interventions and identifying potential funding opportunities.

Thus a Needs Assessment is an evaluation technique that seeks to determine what an organization or community needs to accomplish its objectives and enhance its effectiveness.

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The total number of students who did not have a dog or a cat was 5

Jennifer conducted a survey about the pets of students in her class. In total, 27 students participated in the survey. Among these, 14 students had cats, 12 students had dogs, and 4 students had both cats and dogs.

Jennifer took a survey among the students in her class to know about their pets. The total number of students who took part in the survey was 27. She found that 14 students had cats, 12 students had dogs, and 4 students had both cats and dogs.

Now, we need to calculate the number of students who don't have a dog or a cat. Let's start by calculating the total number of students who had either a dog or a cat.There were 14 students with cats and 12 students with dogs, which means that 26 students had either a cat or a dog.

However, since 4 students had both a cat and a dog, we must subtract this from our total. Therefore, there were 22 students with either a cat or a dog.Now, we need to subtract this from the total number of students who took the survey. That is,27 - 22 = 5 students Therefore, there were 5 students who did not have a dog or a cat.

The total number of students who did not have a dog or a cat was 5.

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Answer:

the Carroll is 1110 kilometer far

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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The value of (double)(5/2) is 2.0. In the expression (double)(5/2), the division operation 5/2 is performed using integer division because both 5 and 2 are integers.

Integer division truncates the decimal part of the result and returns the quotient as an integer. In this case, 5 divided by 2 is equal to 2.

However, by explicitly casting the result to a double (using the (double) operator), we convert the integer value 2 to a double value, which becomes 2.0.

Therefore, the value of (double)(5/2) is 2.0, as the division is performed as an integer division followed by a casting to a double.

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Answer: 20 laps

Step-by-step explanation:

Given

Roger just ran 5 laps and completes 20% of his goal

Suppose his goal is x laps

So, 20% of x must be equal to 5

\(\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}\)

So, he needs 20 more laps to complete his goal.

Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

(1) There are currently 22 frogs in a (large) pond. The frog population grows exponentially, tripling every 9 days. Thus, it will take approximately 27.4 days for the frog population to reach 300.
(2) Time to 1300 frogs (critical situation): approximately 29.66 days

Now let's find out how long it takes for the situation to become critical, i.e. when the frog population reaches 1300. Using the same formula, we have:

1300 = 22 x (3^(t/9))
1300/22 = 3^(t/9)
ln(1300/22) = (t/9)ln(3)
t = 9 x ln(1300/22) / ln(3)
t ≈ 52.6 days

So it will take approximately 52.6 days for the frog population to reach the critical level of 1300, at which point the pond's ecosystem may become overloaded and unable to support the frogs.
To answer your question:

1. Time to 300 frogs:
The frog population triples every 9 days, which means it follows the formula P = 22 * (3^(t/9)), where P is the population and t is the time in days. To find the time for 300 frogs, we set P = 300 and solve for t:

300 = 22 * (3^(t/9))
t/9 = log3(300/22)
t ≈ 9 * log3(300/22) ≈ 20.77 days

2. Time to 1300 frogs:
Using the same formula, we set P = 1300 (the maximum population the ecosystem can support) and solve for t:

1300 = 22 * (3^(t/9))
t/9 = log3(1300/22)
t ≈ 9 * log3(1300/22) ≈ 29.66 days

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The probability of drawing two red buttons is:

P = 0.0326

There are:

So there are a total of 32 + 48 + 44 + 51 = 175

We assume that all the buttons have the same probability to being randomly drawn.

For the first button, the probability of drawing a red one is equal to the quotient between the number of red buttons and the total number of buttons:

p = 32/175

For the second button the probability is computed in the same way, but now there are 31 red buttons and 174 buttons in total, so we have:

q = 31/174

Finally, the joint probability is given by the product between p and q, this gives:

p*q = (32/175)*(31/174) = 0.0326

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Answer:

See below.

Step-by-step explanation:

The domain and range are correct.

The relation is a function because no x value is used more than once.

Answer:

yes

Step-by-step explanation:

Proportional reasoning can be used to make an estimate about a population using data from a sample by assuming that the sample is representative of the population as a whole.

Proportional reasoning involves using the relationship between different parts of a whole to estimate an unknown value.

To apply proportional reasoning to a population estimate, you would first need to gather a random sample of individuals from the population. Then, you could use the data from the sample to estimate the value of a particular characteristic or parameter for the entire population.

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Answer:

Step-by-step explanation:

To solve for the variable n in the equation 1/3 = n + 3/4, you can follow these steps:

Subtract 3/4 from both sides of the equation to isolate the variable n on one side:

1/3 - 3/4 = n

Find a common denominator for 1/3 and 3/4, which is 12. Multiply the numerator and denominator of 1/3 by 4 to get 4/12, and multiply the numerator and denominator of 3/4 by 3 to get 9/12:

4/12 - 9/12 = n

Simplify the expression on the left side of the equation by subtracting the numerators:

-5/12 = n

Rewrite the solution as a fraction or mixed number in simplest form:

n = -5/12

Therefore, the solution to the equation 1/3 = n + 3/4 is n = -5/12.

The Mean, Variance, Standard Deviation, and Coefficient of Variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are:

Mean = 224.833

Variance = 1956.0667

Standard Deviation (SD) = 108.319

Coefficient of Variation (CV) = 48.163%

From the question above, Given data is: 256, 189, 172, 220, 320, 192

Mean, variance, standard deviation and coefficient of variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are given below:

The mean of data is equal to the sum of all data points divided by the total number of data points.

N = 6

Sum of data = 256 + 189 + 172 + 220 + 320 + 192 = 1349 ∴ Mean = 1349 / 6= 224.833

Calculation of Variance: The variance of data is the average of the squared differences from the mean.

Variance is calculated by dividing the sum of squared deviations by N-1, where N is the number of data points and then find the average.

Calculation of standard deviation: The standard deviation of data is the square root of the variance.SD = √11736.4 = 108.319

Coefficient of variation (CV): The coefficient of variation (CV) is a normalized measure of the dispersion of the data points. It is the ratio of the standard deviation to the mean.

CV is used to analyze and compare data of different sizes.

So, CV = (SD / Mean) × 100%CV = (108.319 / 224.833) × 100%= 48.163%∴

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The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:

Step 1: Calculate the inflation rate:

Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100

Let's calculate the values:

Year 1 Basket Price = $25.00

Year 2 Basket Price = $25.50

Step 1: Calculate the inflation rate:

Inflation Rate = ($25.50 - $25.00) / $25.00

Inflation Rate = $0.50 / $25.00

Inflation Rate = 0.02 or 2%

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = ($25.50 / $25.00) * 100

Year 2 CPI = 1.02 * 100

Year 2 CPI = 102

Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

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the answer is yes they will use the same amount

Answer:

-3t-45

Step-by-step explanation:

(18+t)(-3)+9

18x-3-3t+9

-54-3t+9

-3t-54+9

-3t-45

Answer: \(d=\frac{T+N3}{G}\)

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

\(T=Gd-N3\)            [add both sides by N3]

\(T+N3=Gd\)            [divide both sides by G]

\(\frac{T+N3}{G} =d\)

\(d=\frac{T+N3}{G}\)

Now, we know that \(d=\frac{T+N3}{G}\).

Answer:

They might include variety of nuts, raisins, and healthy sweets

Step-by-step explanation: