What is the measure of angle x?

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There isn't any real difference in adding and subtracting decimals from whole numbers but there is just a decimal point in front of the number to make it a decimal.

For example, 2 is a whole number but adding a .0 will make it 2,0 which makes it a decimal.

Carbon-14 dating is used to determine the age of fossils by comparing the amount of carbon-14 in the specimen to the amount in the atmosphere. The half-life of carbon-14 is 5730 years, and by analyzing the percentage of carbon-14 remaining, the age of the fossil can be calculated.

Carbon-14 dating is used to determine the age of fossils. Carbon-14 (14C) is a radioisotope that is present in living organisms while they are alive, and it starts to decay after they die. The half-life of carbon-14 is 5730 years, which means that after this time period, half of the original carbon-14 will have decayed.

In the case of the saber-toothed cat fossil, the paleontologist analyzed the specimen and found that it contained 15% of its original carbon-14. By comparing this percentage to the amount of carbon-14 in the atmosphere, which is known, they can determine the age of the fossil.

Since carbon-14 dating is accurate up to about 50,000 years, this method is suitable for dating the fossil. The age of the fossil can be calculated by considering the amount of carbon-14 remaining and the known half-life of the isotope.

In a survey conducted by a supermarket to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. The population in a survey defines the group the research wants to gain information about and determine the applicability of the findings.

In the context of survey research, a population refers to the entire group about which information is wanted. In your scenario, where a supermarket is conducting a survey to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. It's important to identify the population in a survey because it helps determine the scope of the study and how broadly the findings can be applied.

For example, if you were a marketing manager for an electronics chain store wanting information about the ages of its customers, the population would also be all customers of the store. Similarly, if a radio station wants to know its listeners' preferences, the population would be all listeners of that station. The aim is to collect data that is representative of this population, be it through sampling or other data collection methods.

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The population of the supermarket survey is the entire customer base, including individuals with varying shopping frequencies, aimed at determining the approximate number of customers who like apple juice through representative insights from the diverse customer demographic.

The population of a survey refers to the entire group that the survey aims to represent or provide insights into. In this case, the supermarket is conducting a survey to find the approximate number of its customers who like apple juice. The population of the survey, therefore, is the entire customer base of the supermarket.

To determine the population, the supermarket would ideally want to include all its customers who may have preferences or opinions about apple juice. This could include individuals who have shopped at the supermarket recently or regularly. The population might also encompass a broader range, considering both frequent and occasional customers to ensure a more representative sample of the supermarket's clientele.

In summary, the population of the survey is the entire customer base of the supermarket, encompassing individuals who may have opinions or preferences regarding apple juice.

In systematic sampling, a higher n-value (every nth number) means fewer members are selected, thus smaller sample size. Therefore, surveying every 25,000th number results in the smallest sample size.

In systematic sampling, every nth member of a population is chosen for sampling. The smaller the value of n, the larger the sample size will be, because you're selecting a member more frequently. When we compare the options given: A. 25,000, B. 250, C. 25, and D. 2500, we see that option A (the 25,000th member), will result in the smallest sample size. In this scenario, for a total user base of 1,000,000, selecting every 25,000th member would produce approximately 40 samples (1,000,000 / 25,000 = 40), which is less than what you'd get with the other options.

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The possible vertices of the right triangle are (-3, -2) and (-1, -2).

Option C and D are the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The points (-3, 2) and (1, 2) have the same y-coordinate, which means that they lie on a horizontal line.

The distance between these two points is 4 units, which is the length of the leg of the right triangle that they form.

The only way to form a right triangle using these points is to choose a third point on a vertical line passing through one of these two points.

Option B)

(-1, 4) does not lie on a vertical line passing through either of the given points.

Option C)

(-3, -2) lies on a vertical line passing through the point (-3, 2), so it could be a vertex of the right triangle.

Option D)

(-1, -2) lies on a vertical line passing through the point (1, 2), so it could be a vertex of the right triangle.

Therefore,

The possible vertices of the right triangle are (-3, -2) and (-1, -2).

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Oh yikes, this one hasn't been answered in 4 years..

Let's get the area of one tatami, then the one of the floor.
Tatami area: 6*3 = 18 sq. feet

Floor area: 48*24 = 1152 sq. feet

To know how many tatami are needed, we need to divide the floor area by the tatami area:

1152/18 = 64

You'd need 64 tatami to cover the floor

Let's consider the smallest even integer = x.

then second even integer = (x + 2).

and third even integer = (x + 4).

So three consecutive even integers would be x, (x + 2), and (x + 4).

The sum of these numbers is -6. Its equation would be as follows :-

x + (x + 2) + (x + 4) = -6

3x + 6 = -6

3x = -6 - 6

3x = -12

x = -4

So first number = x = -4

second number = (x + 2) = -2

third number = (x + 4) = 0

Hence, three consecutive even integers are -4, -2, and 0

Answer:

-4, -2, and 0

Step-by-step explanation:

Final answer:

To find out how many hours Suzette ran, we used a system of equations with the total distance and total time for running and biking. Solving the system, we determined that Suzette ran for 1.5 hours.

Explanation:

To determine how many hours Suzette ran, we can use the total distance and the total time given for running and biking activities, alongside her average speeds for each activity. We will then set up a system of equations that account for the distances and times and solve for the time Suzette spent running.

Let r be the time spent running and b be the time spent biking. We are given:

Total time: r + b = 3.5 hours

Total distance: 6r + 12.5b = 34 miles (6 mph is the running speed, 12.5 mph is the biking speed)

Now we'll solve this system of equations:

Substitute b from the first equation into the second equation: 6r + 12.5(3.5 - r) = 34.

Simplify and solve for r: 6r + 43.75 - 12.5r = 34.

This simplifies further to -6.5r = -9.75, hence r = 1.5.

Suzette ran for 1.5 hours.

To find the diameter of the larger gear, we set up an equation based on the information that the smaller gear's diameter is 2.5cm more than a quarter of the larger gear's diameter. Solving this, the diameter of the larger gear is found to be 54cm.

The student has asked for the diameter of a larger gear when given that the diameter of a smaller gear is 16cm, which is 2.5cm more than one quarter of the larger gear's diameter. To find the diameter of the larger gear, we can set up an equation where d represents the diameter of the larger gear.

According to the question:
16cm =  1/4d + 2.5cm
To solve for the diameter d, we subtract 2.5cm from both sides and then multiply by 4:

The diameter of the larger gear is therefore 54cm.

The points for the swimming event are calculated as :one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled.

Charles de Vendeville stayed under water for 68.4 seconds.

Points earned for staying under water = 68.4 (1)= 68.4

Vendeville from France travelled 60.2 meters

Points earned for traveling 60.2 meters = 60.2(2)= 120.4

Total points earned = 68.4+120.4=188.8

Answer:

10 times greater is the value of 5 in 3,590 than the value of 5 in 359.

Step-by-step explanation:

To find : How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?

Solution :

The place value stem is

Thousand     Hundred     Tens    Ones

  1000               100            10         1

The value of 5 in 3,590 is at hundred place

So, [tex]5\times 100=500[/tex]

The value of 5 in 359 is at tens place

So, [tex]5\times 10=50[/tex]

Number of time greater is the value of 5 in 3,590 than the value of 5 in 359 is given by,

[tex]n=\frac{500}{50}[/tex]

[tex]n=10[/tex]

Therefore, 10 times greater is the value of 5 in 3,590 than the value of 5 in 359.

Final answer:

The value of 5 in 3,590 is 10 times greater than the value of 5 in 359 because the 5 in 3,590 represents 500 while in 359 it represents 50.

Explanation:

The question asks how many times greater the value of 5 in 3,590 is compared to the value of 5 in 359. In the number 3,590, the 5 is in the hundred's place, meaning it has a value of 500 (5 x [tex]10^2[/tex]). In the number 359, the 5 is in the ten's place, meaning it has a value of 50 (5 x [tex]10^1[/tex]). To find out how many times greater one value is than the other, we divide the larger by the smaller

So, 500 divided by 50 equals 10. This means the value of 5 in 3,590 is 10 times greater than the value of 5 in 359.

9514 1404 393

Answer:

  Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5

Step-by-step explanation:

Nothing indicates any triangle sides are congruent, a necessary condition for the triangles to be congruent.

In triangles ABC and EDC, angles 1 and 5 are corresponding. They are "alternate interior angles" with respect to the transversal AE, so are congruent. Angles 2 and 6 are congruent for a similar reason. The vertical angles at C are congruent, so the triangles are similar.

Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5.

No, she is not correct.

The volume of cubes with side 2/5 inches is : [tex](\frac{2}{5}) ^{3}[/tex] = 8/125 [tex]in^{3}[/tex]

and the volume of cubes with side 1/5 inches is : [tex](\frac{1}{5} )^{3}[/tex] = 1/125 [tex]in^{3}[/tex]

The cubes with sides 1/5 inches have 8 times lesser volume than that of the cubes with sides 2/5 inches.

So, to fill up the same volume, we would require 8 times more cubes of side 1/5 inches than cubes of side 2/5 inches.

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The mathematical expression for the temperature measured can be obtained as -9°.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

The given measure of the temperature is 9°.

Since, the convention to take measured figures with the values below zero is negative.

The given temperature can be written as -9°.

Hence, the given temperature can be written as -9°.

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