Please help!
A turtle walks 78 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?

Answer:

150%as a fraction is  3/2

Answer:

1.50 or 1 1/2

Step-by-step explanation:

Hope this helps!

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

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The distance covered by the car with 12 gallons of gasoline is 200 miles.

Given,

Distance travelled by a car with full  tank gasoline = 300 miles

The capacity of the car's tank = 18 gallons

We have to find the distance covered by the car with 12 gallons of gasoline;

Here,

x be the distance covered by the car with 12 gallons of gasoline

Then,

300/18 = x/12

x = (300 x 12) / 18

x = (300 x 2) / 3

x = 100 x 2

x = 200 miles

That is,

The car will cover 200 miles with 12 gallons of gasoline.

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Answer:

190.5 centimeters.

Step-by-step explanation:

First you need to convert 6ft 3 inches into just inches. There are 12 inches in a foot. 12 x 6 is 72. 72 inches + 3 = 75 inches. 75 inches x 2.54 = 190.5 centimeters.

The domain of the function graphed in this problem is given as follows:

{x | x ≥  -4}.

The domain of a function is the set composed by all the input values that the function accepts.

On the graph, the domain of the function is given by the values of x.

From the graph of the function, the function has a closed interval at x = -4, and is defined for all the values for the right of that, that is, greater than -4, hence the notation for the domain is given as follows:

{x | x ≥  -4}.

Meaning that the correct option is given by the second option.

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Answer:

Step-by-step explanation:

i dont know

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

The Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

A hemisphere is half of a sphere. Thus, the volume of a hemisphere is given as: V = = (2/3)πr³, where r is the radius of the hemisphere.

Surface area of a hemisphere is given as, SA = 2πr²

Given the following:

Volume of hemisphere = 30 cm³

i. Radius (r) of the container = radius of the hemisphere

2πr² = 30

r² = 30/2π

r² = 4.8

r ≈ 2.2 cm

ii. Surface area of the container that is in contact with the lip balm = surface area of hemisphere = 2πr²

Surface area = 2(3.14)(2.2²)

Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

In summary:

i. The radius of the container is 2.2 cm

ii. The surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

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The probability of selecting a white-tailed deer that carries the Lyme disease bacteria is 1 in 10,000, or 0.0001. This means that out of every 10,000 white-tailed deer on the east coast, only one is expected to carry the Lyme disease bacteria.

If we assume that each deer in the population has an equal chance of carrying the bacteria, then the probability of selecting a deer that carries the bacteria can be calculated using the formula for probability:

Probability = Number of desired outcomes / Total number of possible outcomes

In this case, the number of desired outcomes is one (since we want to select a deer that carries the bacteria), and the total number of possible outcomes is the total number of white-tailed deer in the population. Since we don't know the exact number of deer in the population, we can assume that it is very large, so we can use an approximation:

Probability ≈ 1 / (Very large number)

Therefore, the probability of selecting a white-tailed deer from the east coast population that carries the Lyme disease bacteria is very close to 0.0001 or 1 in 10,000.

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Answer:

x>8

Step-by-step explanation:

Hope that helps you!!

A possible confounding variable that that would help explain the relationship between hair length and height of college age students is their gender.

Confounding variable is an extraneous variable that is related to both the dependent and independent variable, and it affects the result of the study. Therefore, it causes the effect of the independent variable on the dependent variable to be distorted. A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender).For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. Hence, a possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender.

A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. The gender of college age students could play a role in determining their height and hair length. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender). For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. This means that the relationship between the two variables was not a direct one, but was rather due to the confounding variable (gender). Therefore, in order to determine if there is a direct relationship between hair length and height of college age students, the study needs to control for gender.

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

2x+54=8x

So. The Answer is 7

Answer:

J' (- 10, - 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (10, - 8 ) → J' (- 10, - 8 )

Answer:

(-10, -8)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x, y)→(−x, y) .

so J(10, -8) becomes J'(-10, -8)

Answer:

have you been cheating and your answer i think is number 3

Step-by-step explanation:

Answer:

Answer is 75%

Step-by-step explanation:

9/12 = 3/4 = 0,75 = 75/100.

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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The area of a triangle is 1/2 x base x height.

The base is 2 , the height is 4.

Area = 1/2 x 2 x 4 = 4 square cm.

The area of a square is s^2

S is the length of a side, which is 2

Area = 2^2 = 4 square cm

Both shapes have an area of 4 square cm

Answer: 4.5.

Step-by-step explanation for the triangle:

A = 1/2 ⋅ b ⋅ h  A = 1/2 ⋅ 3 ⋅ 3  A= 4.5

                       OR

Step-by-step explanation for the square:

A = a^2 = 2^2 = 4 = 4.5

The Fourier series coefficients for each of the following signals are as follows:

1. For x(t) = sin (10pi t + pi/6), the Fourier series coefficients are:

a0 = 0
an = 0
bn = 1/2 for n = 5
bn = -1/2 for n = -5
and bn = 0 for all other values of n

2. For x(t) = 1 + cos (2 pi t), the Fourier series coefficients are:

a0 = 1
an = 0 for all values of n
bn = 1/2 for n = 1
and bn = -1/2 for n = -1
and bn = 0 for all other values of n

3. For x(t) = [1 + cos (2 pi t)] [sin(10 pi t + pi/6)], the Fourier series coefficients are:

a0 = 0
an = 0 for all values of n
bn = 1/4 for n = 5
bn = -1/4 for n = -5
and bn = 0 for all other values of n
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Answer:

1. C

2. A

3. B

4. B

5. A

6. A

Step-by-step explanation:

you will answer the rest, sorry if i was rude

The answer to the question is option A. The median number of points scored for Team 1 is 15 and for Team 2 is 11.

To find the median number of points scored for each team from the given back-to-back stem-and-leaf plot, we need to identify the middle value of the data set for each team. The middle value is the point where half the scores are above it and half are below it.

Looking at the stem-and-leaf plot, we can see that for Team 1, the median score is 15. This is because there are 4 scores above 15 and 4 scores below it. Therefore, 15 is the middle value for Team 1.

Similarly, for Team 2, the median score is 11. This is because there are 4 scores above 11 and 4 scores below it. Therefore, 11 is the middle value for Team 2.

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Answer:

yes because 40/32 = 25/20

Step-by-step explanation:

a. The representative measure of central location for the given data would be the mean income. b. The mode is the value that appears most frequently in the data set. c. The median is the middle value in the sorted data set. d. The 60th percentile represents the value below which 60% of the data falls. e. After dropping the income of individual number 11, the standard deviation can be calculated for the remaining 10 individuals.

a. To find the representative measure of central location, we calculate the mean income. We add up all the incomes: $11,500 + $22,000 + $32,500 + $44,000 + $54,000 + $62,500 + $72,000 + $84,000 + $93,500 + $103,000 + $114,300 = $692,800. Dividing this sum by 11 (the number of individuals) gives us the mean income of $62,981.82.

b. The mode is the value that appears most frequently in the data set. In this case, there is no value that appears more than once, so there is no mode.

c. To determine the median, we first sort the incomes in ascending order: $11,500, $22,000, $32,500, $44,000, $54,000, $62,500, $72,000, $84,000, $93,500, $103,000, $114,300. The median is the middle value, which in this case is the 6th value, $62,500.

d. The 60th percentile represents the value below which 60% of the data falls. To determine the 60th percentile, we arrange the data in ascending order and locate the value that corresponds to the 60th percentile. In this case, the 60th percentile falls between the 6th and 7th values, which are $62,500 and $72,000. To interpolate the exact value, we can use the formula: 60th percentile = lower value + (0.6 × difference between the lower and higher values). Using this formula, the 60th percentile is approximately $67,500.

e. After dropping the income of individual number 11 ($143,000), we are left with the incomes of the first 10 individuals. To compute the standard deviation, we first calculate the mean of the remaining incomes (excluding the dropped income), which is $57,480. We then calculate the squared difference between each income and the mean, sum up these squared differences, divide by 10 (n-1), and take the square root of the result. This will give us the standard deviation for the first 10 individuals.

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Answer:

3.1415967382

Step-by-step explanation:

A unit rate is a rate in which the second quantity, or denominator, in the comparison is 1 unit. You can find the unit rate by dividing the first quantity in a relationship by the second quantity.

The most common second quantity in rates, from personal experience, is the denominator in a fraction, like the 1 in 50/1. This is because the denominator is seen as the one specifying the unit. For example, in the rate "a car goes 50 miles per hour," the numerator would be the distance the car is traveling, which is 50, whilst the denominator would be the time the car takes to drive a certain distance - in this case, 1 hour. The first quantity is 50 miles and the second quantity is 1 hour. We can divide the first quantity by the second to get the fraction 50/1, which is a unit rate because the denominator (second quantity) has a value of 1. This also applies to values such as 90/3, where we would be trying to simplify the fraction to get a denominator value of 1.

Answer:

its b

Step-by-step explanation:

i just did that question last period

Let  be the number of pennies,  be the number of nickels, and  be the number of dimes that Vern has. The given ratios tell us that  and  Therefore,  so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by  Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains  pennies,  nickels, and  dimes. Let  be the number of such groups of coins that Vern has. Then Vern has  pennies,  nickels, and  dimes. Since a penny is worth  cent, a nickel is worth  cents, and a dime is worth  cents, the total worth of Vern's coins in cents is  However, we know Vern has  or  cents, so we can write an equation:Simplifying the left-hand side, we get  Dividing both sides by  we get  This tells us that Vern has  groups of  coins, for a total of  coins.

328

Answer: To prove that triangle ABE is congruent to triangle CBD, we will use the SAS (Side-Angle-Side) Congruence Theorem.

This theorem states that if two triangles have two sides and the included angle congruent, then the triangles are congruent.

Given:

BE ≅ BD (congruent sides)

AD ≅ CE (congruent sides)

We have congruent sides AB and BC, and congruent angles A and C (included angles)

By SAS congruence theorem, we can prove that:

Triangle ABE ≅ triangle CBD

Therefore, triangle ABE is congruent to triangle CBD

Alternatively, if we use the ASA (Angle-Side-Angle) congruence theorem, where we have congruent angles and congruent sides between those angles, we can also prove that triangle ABE ≅ triangle CBD

Step-by-step explanation: