What is the x-intercept of the line 3x – 7y = 42?

Answer:

Speed = 0.0003miles/hr

Step-by-step explanation:

Speed of object = 1 mile/hour

For every meter it travels, its acceleration increases by 1 mile/hour

∆Distance = increase in distance

∆speed = 1 meter

The speed and the distance are constant

Speed = distance/time

Time = distance/speed = 1meter/(1 miles/hr)

Convert meter to miles

1609.34 meters = 1mile

1meter = (1meter × 1mile)/(1609.34 meters)

1 meter = (1/1609.34)miles

Time = distance/speed = (1/1609.34)miles/(1 miles/hr)

Time = (1/1609.34)hr

We are to determine the speed the object would be travelling in half of an hour?

In 1hr, it travels (1/1609.34)miles

In ½hr, it travels = (1/1609.34)(½)hr

Speed = 0.0003miles/hr

It will be travelling 0.0003miles/hr in half of an hour

If the experimental value is 10.1% and the label value is 10%, then the relative difference is 1%, which is equal to 1%. Therefore, you can say that they agree.

To determine if the calculated per cent fat from the experimental data in question 2 agrees with the per cent fat calculated from the label in question 3, follow these steps:

1. Calculate the per cent fat from the experimental data in question 2.
2. Calculate the per cent fat from the label in question 3.
3. Compare the two values.

If the two values are the same or differ by less than 1%, then the answer is yes, they agree. If the two values differ by more than 1%, then the answer is no, they do not agree.

Without the specific data from questions 2 and 3, I cannot provide a definite answer. However, you can use the steps provided above to determine if the calculated per cent fat from the experimental data agrees with the per cent fat calculated from the label.

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Answer:

see explanation

Step-by-step explanation:

let the number be n , then 3 less than one- fifth of the number is

\(\frac{1}{5}\) n - 3 = 28 ← equation representing the sentence

to find the number

add 3 to both sides

\(\frac{1}{5}\) n = 31 ( multiply both sides by 5 to clear the fraction )

n = 5 × 31 = 155

Answer:

(4×6)(5×5)

20 × 30

(4×5)(6×5)

(2×5)(10×6)

Total Twenty tablespoons will make five gallons of chicken stock, where one tablespoon used to make one quart of chicken stock.

The process of calculating and determining the specific amounts of ingredients required using standard measuring devices such as measuring spoons, measuring cups, etc.

Why is it important ?

By measuring, you avoid wasting food while cooking and the ingredients you use are not wasted. Once you know the number of guests and their appetites, add ingredients accordingly, but avoid wasting food. Basic Cooking Measurements :

We will make 5 gallons of chicken stock. Also, one tablespoon makes one quart of chicken stock. Using the standard measurements, one gallon = four quarts (qt.)

five gallons = 5×4 quarts = 20 quarts --(1)

We have to make a 20 quarts of chicken stock so, we need 20 tablespoons for it.

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The cost to put a fence along the borders of the flower patch is $19.27

From the question, we have the following parameters that can be used in our computation:

Cost = $2.89 for a 27-inches section

Next, we calculate the perimeter of the patch by adding the side lengths

So, we have

Perimeter = 2 ft 3 in + 2 ft + 2 yd + 25 in + 3 ft 5 in

Evaluate

Perimeter = 15 feet 9 inches

Convert to inches

Perimeter = 180 inches + 9 inches

So, we have

Perimeter = 189 inches

Next, we have

Cost = 180 * 2.89/27

Evaluate

Cost = $19.27

Hence, the cost is $19.27

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The option that shows that the set of irrational numbers under addition is not closed is B. π + π.

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.

The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.

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It takes approximately 0.0533 seconds for the sound of the coin hitting the bottom of the well to reach Sara's ears.

If Sara hears the coin hit the bottom of the well, that means she is able to hear the sound produced by the coin reaching the bottom. The time it takes for sound to travel from the top of the well to the bottom is what we need to find.
To calculate the time it takes for sound to travel, we can use the formula:
Time = Distance / Speed
In this case, the distance is the depth of the well, which is 60 feet. The speed of sound is approximately 1,125 feet per second.
Plugging these values into the formula, we get:
Time = 60 feet / 1,125 feet per second
Simplifying this expression, we find:
Time ≈ 0.0533 seconds
Therefore, it takes approximately 0.0533 seconds for the sound of the coin hitting the bottom of the well to reach Sara's ears.

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Answer:

x = 7 ft

Step-by-step explanation:

\(tan 55=\frac{10}{x}\\x=\frac{10}{tan 55}\\x=7.0020\\x=7\)

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

28.3

Step-by-step explanation:

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Answer:

18.85 cm

Step-by-step explanation:

Step-by-step explanation:

3 dots in the graph show fewer than 4 roses.

so, 3 bunches of flowers had fewer than 4 roses.

The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.

To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.

Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:

$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.

Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.

Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.

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Answer:

x+1

Step-by-step explanation:

The population in this scenario consists of all employees in the firm, which totals 4,500 individuals. The sample is a subset of the population, specifically 60 randomly selected employees who are part of a committee evaluating the implementation of sensitivity training.

the population refers to the entire group of employees in the firm, which consists of 4,500 individuals. The sample, on the other hand, is a smaller group of 60 employees who have been randomly selected to form a committee. This committee's purpose is to evaluate the proposal of implementing sensitivity training online instead of the current in-person format.

The sample of 60 employees is chosen in a random manner to ensure representativeness and minimize potential bias. By selecting a subset of the population, the committee can provide insights and perspectives that are representative of the larger employee base. Each committee member will have the opportunity to vote "yes" or "no" on the proposal, and their votes will be used to determine the overall sentiment of the committee regarding the implementation of online sensitivity training.

It's important to note that the sample of 60 employees is being used as a representative group to make inferences about the entire population.

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Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Answer:

Step-by-step explanation:

from the sign on the picture it is a rigth triangle

we use pythagoras

x² = 12² - 7²

x² = 144 - 49

x² = 95

x = √95

(x = 9.75)

Answer:

x = \(\sqrt{95}\)

Step-by-step explanation:

In this problem, we need to use the Pythagorean theorem.

Pythagorean theorem is a theorem where you can find a side length in a right triangle.

The hypotenuse (The longest side) squared equals the other two side lengths added together after being squared.

In numbers, this will be: (12)^2 = (7)^2 + (x)^2.

144 = 49 + x^2.

95 = x^2

x = \(\sqrt{95}\)

We cannot simplify \(\sqrt{95}\), so that is the final answer.

Answer:

7x-7=0

5x-9=4x

4x(9)=36

x=36

The probability that the spinner lands on an odd number and then a shaded number is given as follows:

5/12.

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

The probabilities of each event in this problem is given as follows:

Hence the probability that the spinner lands on an odd number and then a shaded number is calculated as follows:

p = 1/2 x 5/6 = 5/12.

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The correct answer for the first question is B.

Only statement 2 is accurate. Statement 1 is incorrect because an entire set of data is typically referred to as a population, not a distribution. A distribution refers to the pattern or spread of data within a population or sample.

For the second question, Ibrahim, as a planner in the Quality Assurance Department of Free Free plc, would belong to the operating core building block. Mintzberg's organizational structure theory defines the operating core as the individuals directly involved in producing the organization's products or services. Since Ibrahim is part of the Quality Assurance Department, which is responsible for ensuring the quality of the products, he falls under the operating core category. The support staff typically includes administrative or auxiliary personnel, the middle line refers to managers responsible for coordinating and overseeing different departments, and the technostructure consists of individuals who specialize in analytical and support functions related to the organization's operations.

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Answer:

a) (0,5)

b) (2, 9)

c) (10, -4)

d) (1,7)

Step-by-step explanation:

1) First choose an x value for your ordered pair. For answer a I choose "0".

2) Plug in your chosen value into the solution equation.

           F(0) = -(0)^2 + 5

                  = 5

3) The value that you get when you plug your x component into the solution equation is your y component!

(0,5)

Answer:

iT IS FALSE

Step-by-step explanation:

:0 thats impossible

14 x 2 = 28

28 x 3 = 0?

if this was real then

7 x 2*2 x 3 = 0

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

\(\rule[225]{225}{2}\)

Hope this helped!

The answer is 0.12.

Given that the distribution curve is to the left, 54.78% (0.5478) is appropriate.

Now we have to find the z-value.

From the given information we know that P(Z<z) = 0.5478.

The associated z-score z, which equates to a probability of 0.5478 or the closest probability, is then provided in the row/column title of the area under the normal curve table.

z = 0.12

Hence, the z value is 0.12.

What is probability ?

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Answer:

the value of x is x because x is a letter in the alphabet x id just x so leave it it X ur welcome <3

Step-by-step explanation:

Answer:

the 20th day

Step-by-step explanation:

Day Spanish) 4,8,12,16,20

Day Math) 10,20

Answer:

Every 20 days you will have both clubs.

Step-by-step explanation:

Find least common multiple and it will be reccuring

You need to find the least common multiple of 4 and 10.

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

10, 20, 30, 40

As you can see every 20 days you will have both, 20, 40, 60, 80, 100, etc etc.

Answer:

C

Step-by-step explanation:

4.5 is 45 ÷ 10 and 81.1 is 811 ÷ 10 so that means that 4.5 × 81.1 = 45 ÷ 10 × 811 ÷ 10 = (45 × 81) ÷ 100. We know that 45 × 81 = 36,495 so we just have to divide that by 100 to get 364.95.

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

2(x+4)

hope this helps!!!

The equation of the line CD obtained from the slope of the line AB, and the coordinates of the point C is; 7·y - 3·x = 2

The slope of a line is the ratio of the rise to the run of the line.

The specified information indicates;

AB ║ CD

The coordinates of the point A is (-3, 2), the coordinates of the point B is (4, 5)

The slope of the segment AB is therefore; (5 - 2)/(4 - (-3)) = 3/7

The coordinates of the point C is; (4 , 5 - 3) = (4, 2)

The equation of the line CD is therefore; y - 2 = (3/7)·(x - 4)

7·y - 14 = 3·x - 12

7·y - 3·x = 14 - 12 = 2

The equation of the segment CD is; 7·y - 3·x = 2

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