obsa has two prism shaped container. one has a volume of2 1/3 cubic feet, and the other has a volume of 4/3 cubic feet. how many smaller prisms would it take to fill the larger?​

The statement, "two non-zero vectors "a" and "b" satisfy a×b = 0 then "a" and "b" are parallel" is True, because the cross-product of two vectors is always 0.

The "Cross-Product" of "two-vectors" is zero only when the vectors are parallel or when one (or both) of the vectors is the zero vector. Since a × b = 0 and both "a" and "b" are non-zero, it implies that "a" and "b" are parallel. This is because the cross product of parallel vectors is always zero.

Therefore, the condition a × b = 0 serves as a test for parallelism between non-zero vectors, so the statement is True.

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The given question is incomplete, the complete question is

(T/F) If two non-zero vectors "a" and "b" satisfy a×b = 0 then "a" and "b" are parallel.

It's important to note that this calculation assumes that the items in each category are distinct and that Soo Jin can select any item from each category without any restrictions or dependencies.

To determine the number of different possible characters Soo Jin can create for the video game, we need to consider the combinations of items from each category.

Let's assume there are n1 items in Category 1, n2 items in Category 2, n3 items in Category 3, and n4 items in Category 4. To find the total number of possible characters, we multiply the number of options in each category:

Total number of characters = n1 * n2 * n3 * n4

For example, if Category 1 has 5 items, Category 2 has 3 items, Category 3 has 2 items, and Category 4 has 4 items, the total number of possible characters would be:

Total number of characters = 5 * 3 * 2 * 4 = 120

So Soo Jin can create 120 different characters by selecting one item from each of the four categories.

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Answer:

the size of C1=54°[converse of a tan chord theorem]

Step-by-step explanation:

since the tan chord theorem state that the angle between a tangent and a chord is equal to the angle sub tended by that chord and in this situation your given the sub tend angle we intend to say is a converse of the tan chord

Answer:

d

Step-by-step explanation:

took test

Answer:  A (300 in^2)

Step-by-step explanation: You can either use volume or the area to find out how much wrapping paper Malia will need. so, I will use the area so I took 2in and mutipyied it by 10in which got me 20in then I took the 20in I got from 2in mutiplied by the 10in and mutipled it by 15 and got the answer of 300 in^2. so the answer is a .

The probability that a three-digit number formed from the digits one through five, using any digit only once, will be divisible by 3 is $\frac{2}{5}$.

To find out how many three-digit numbers can be formed using the digits one through five, we first need to determine how many options we have for the first digit. Since the number cannot start with zero, there are four options: 1, 2, 3, or 4. For the second digit, there are only three options left since we cannot repeat the digit we used for the first digit. Finally, for the last digit, there are only two options left. So, in total, there are 4 x 3 x 2 = 24 three-digit numbers that can be formed using the digits one through five.

Now we need to figure out how many of these numbers are divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The only way to get a sum that is divisible by 3 using the digits one through five is to use three of them (1, 2, 3, 4, or 5). So we need to count the number of three-digit numbers that can be formed using three of the digits 1, 2, 3, 4, and 5. There are 5 ways to choose the digit that is left out, and then 3 x 2 = 6 ways to arrange the other three digits. So there are 5 x 6 = 30 three-digit numbers that can be formed using three of the digits 1, 2, 3, 4, and 5.

Therefore, the probability of selecting a three-digit number that is divisible by 3 is $\frac{30}{24} = \frac{5}{4}$. However, we need to simplify this fraction, so we divide the numerator and denominator by 5 to get $\frac{6}{5}$. Finally, we subtract this fraction from 1 to find the probability that a three-digit number formed from the digits one through five, using any digit only once, will not be divisible by 3: $1 - \frac{6}{5} = \boxed{\frac{2}{5}}$.

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Number of 50 g weigh balls = 12

And, Number of 120g weigh balls = 8

We have to given that;

There is a total of 20 balls. Some balls weigh 50g each and others weigh 120g each.

Let number of 50 g weigh balls = x

And, Number of 120g weigh balls = y

Hence, We can formulate;

x + y = 20  .. (i)

And, 50x + 120y = 1560

⇒ 5x + 12y = 156  .. (ii)

From (i);

x = 20 - y

Plug in (ii);

5 (20 - y) + 12y = 156

100 - 5y + 12y = 156

7y = 56

y = 8

From (i);

x = 20 - y

x = 20 - 8

x = 12

Thus, number of 50 g weigh balls = 12

And, Number of 120g weigh balls = 8

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Based on the policy limit of $50,000, the total amount that the insurance company must pay out for these three people involved in Craig's personal injury protection policy is $73,500.

The total amount that the insurance company will indemnify the three persons involved in the accident is determined by the policy or liability limit of $50,000 for each person.

Policy limit in Craig's personal injury protection policy for each = $50,000

The medical expense for the first person = $23,000 (below limit)

The medical expense for the second person = $500 (below limit)

The medical expense for the third person (Craig) = $70,000 (above limit)

Total indemnity = $73,500 ($23,000 + $500 + $50,000)

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The exponential regression equation to best fit the given data is y = 1.87 * 5.39^x, and this is found by using the logarithmic transformation of the exponential function and linear regression.

To find the exponential regression equation that best fits the given data, we need to use the following formula:

y = ab^x

where a is the y-intercept and b is the base of the exponential function. We can use the logarithmic transformation of this equation to linearize the data:

ln y = ln a + x ln b

We can then use linear regression to find the values of ln a and ln b. Once we have these values, we can use the exponential function to find the best-fit equation.

Using this method, we get the following values:

ln a = 0.6248
ln b = 1.6835

Therefore, the exponential regression equation that best fits the given data is:

y = e^(0.6248) * e^(1.6835x)

This equation can be simplified as:

y = 1.87 * 5.39^x

Note that since the y-values are rounded to the nearest integer, the calculated equation may not perfectly fit the data points, but it will provide a close approximation.

In summary, the exponential regression equation to best fit the given data is y = 1.87 * 5.39^x, and this is found by using the logarithmic transformation of the exponential function and linear regression.

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Answer: A

Step-by-step explanation:

When the residuals are random, it implies that the linear fit is appropriate for the data set. When residuals form a pattern, it indicates that the linear fit for the data set is not appropriate since there is a systematic error instead of random error.

Answer: Translate DEF 2 units to the right

Step-by-step explanation:

Each point in DEF is 2 units to the left of JKL. For example, D is at (-3, 4) and J is at (-1, 4). To map the figures on to one another, DEF must be moved 2 units to the right

Answer: ABC is not a right angled triangle

Step-by-step explanation:

total = 22cm

22-8-5= 9cm

Hypotuneus = 9 cm since its the longest angle

pythagoras theorum = a2+b2=c2

so we need to see if 8² +5² =9²

64+25 need to be 81 (9² )

but its 64+25=89

therefore it is not a right angles triangle.

The picture showing the ratios 4:11 and 7:11 is attached accordingly.

Ratios are common in everyday life and assist to simplify many of our interactions by putting numbers into context. Ratios facilitate the measurement and expression of numbers by making them more understandable. Ratios in everyday life: The automobile was moving at 60 mph, or 60 miles per hour.

A ratio is a comparison expressed as a quotient of two numbers, a and b, and is commonly represented as ab or a/b.

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The domain of the function is the set of all points in the xy-plane that satisfy the inequality 4 - x^2 - 4y^2 > 0.

The domain of a function consists of all the possible input values that can be plugged into the function to produce a valid output. In the case of the function f(x,y) = ln(4 - x^2 - 4y^2), the argument of the natural logarithm must be positive for the function to be defined. Therefore, we need to find the set of (x,y) pairs that satisfy the inequality:

4 - x^2 - 4y^2 > 0

Rearranging this inequality, we get:

x^2 + 4y^2 < 4

This is the equation of an ellipse centered at the origin with semi-major axis of length 2 and semi-minor axis of length 1/2. Thus, the domain of the function f(x,y) consists of all the points inside this ellipse.

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The closest point will be 0.6 which is point Q.

To determine the product of the numbers graphed at points R and T, we need to find the coordinates of these points on the number line.

So, point R x point T

= 7/10 x 9/10

However, once you have the coordinates of points R and T, you can multiply the corresponding numbers to find their product.

Then, 0.7 x 0.9

= 0.63

From the points given we can write as

P = 0.4

Q = 0.6

R= 0.7

S = 0.8

T = 0.9

Among all the points the most closest is 0.6 which is point Q.

Thus, the closest point will be 0.6 which is point Q.

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The correct statement regarding the flow rate is given as follows:

The flow rate of the large tank is –10 gal/min, and the flow rate of the small tank is 10 gal/min.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The functions are given as follows:

After 5 minutes, the two tanks have the same rate, hence the value of m is obtained as follows:

300 - 5m = 200 + 5m

10m = 100

m = 10 gal/min.

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It's also worth noting that there may be other factors that impact sales that are not included in the regression equation. For example, changes in consumer preferences, economic conditions, or competition from other businesses could all have an impact on sales that is not captured by the variables included in the equation.

So while a regression equation can be a useful tool for predicting sales, it's important to keep in mind that it's not a perfect predictor and should be used in conjunction with other information and analysis. To estimate a regression equation for sales as a function of population, advertising in the current year, and advertising in the previous year, you would need to gather data on sales, population, and advertising expenditures for both the current and previous years. Once you have this data, you can use regression analysis to determine how much of the variation in sales can be explained by population and advertising. As for whether or not predictions of sales in future years would be very accurate based on this regression equation, it really depends on how well the equation fits the data.

If the equation has a high R-squared value (meaning that a large percentage of the variation in sales can be explained by the independent variables), then predictions based on the equation are likely to be more accurate. However, if the equation has a low R-squared value, then predictions based on the equation may not be very accurate.

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The total number of cubes used to make up the rectangular prism can be determined by counting the number of cubes in each dimension and multiplying the values together.

To start, we need to determine the number of cubes in each dimension of the rectangular prism. Looking at the figure, we can see that the length of the rectangular prism is made up of 5 cubes, the width is made up of 3 cubes, and the height is made up of 4 cubes.

Multiplying these values together gives us:

5 x 3 x 4 = 60

Therefore, the total number of cubes used to make up the rectangular prism is 60.

In summary, to find the total number of cubes used to make up a rectangular prism, we need to count the number of cubes in each dimension and multiply them together. In this specific example, the rectangular prism was made up of 5 cubes in length, 3 cubes in width, and 4 cubes in height, resulting in a total of 60 cubes.

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Matric A = [[5, 8, 11],

[11, 14, 17],

[21, 24, 27]]

Matric B = [[3, 9, 19],

[6, 12, 22],

[11, 17, 27]]

(b) The sum of their determinant is 102.

(c) The inverse of matrix A, you can use matrix inversion techniques such as the adjugate matrix or row reduction.

To compute the matrices A and B, we substitute the given expressions for each element into their respective matrices.

Matrix A:

A = [aij] where aij = 2i² + 3j

Substituting the values of i and j from 1 to 3, we get:

A = [[2(1)² + 3(1), 2(1)² + 3(2), 2(1)² + 3(3)],

[2(2)² + 3(1), 2(2)² + 3(2), 2(2)² + 3(3)],

[2(3)² + 3(1), 2(3)² + 3(2), 2(3)² + 3(3)]]

Simplifying each element:

A = [[2 + 3, 2 + 6, 2 + 9],

[8 + 3, 8 + 6, 8 + 9],

[18 + 3, 18 + 6, 18 + 9]]

A = [[5, 8, 11],

[11, 14, 17],

[21, 24, 27]]

Matrix B:

B = [bij] where bij = i² + 2j²

Substituting the values of i and j from 1 to 3, we get:

B = [[1² + 2(1)², 1² + 2(2)², 1² + 2(3)²],

[2² + 2(1)², 2² + 2(2)², 2² + 2(3)²],

[3² + 2(1)², 3² + 2(2)², 3² + 2(3)²]]

Simplifying each element:

B = [[1 + 2, 1 + 8, 1 + 18],

[4 + 2, 4 + 8, 4 + 18],

[9 + 2, 9 + 8, 9 + 18]]

Next, we move on to the remaining parts of the question.

To find the sum of the determinants of matrices A and B, we compute the determinants separately and add them together:

det(A) = |A|

= 5(14 - 17) - 8(11 - 17) + 11(11 - 14)

= -6

det(B) = |B| = 3(12 - 17) - 9(6 - 17) + 19(6 - 12)

= 108

Sum of determinants = det(A) + det(B)

= -6 + 108

= 102

To compute 2A⁻¹, we need to find the inverse of matrix A and multiply it by 2:

A⁻¹ = inverse of matrix A

Once you have the inverse, you can multiply it by 2:

2A^-1 = 2 × A⁻¹

Since matrix A is not given in the question and we've only computed its elements based on the given formula

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The garden is approximately 5.5 meters long.

1 yard is approximately 0.91 meters (since 1 meter is approximately 1.094 yards). Therefore, 6 yards is approximately 5.5 meters (6 x 0.91).

Proportionality refers to the relationship between two quantities that change together in a consistent manner. In a proportional relationship, when one quantity changes, the other quantity changes in direct proportion to it.

Since 11 meters is approximately 12 yards, we can set up a proportion:

6 yards = x meters

12 yards = 11 meters

Solving for x, we get:

x = (6 yards)(11 meters/12 yards) = 5.5 meters

Rounding to the nearest tenth, we get that the garden is approximately 5.5 meters long.

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The solution for each system of equations in this problem is given as follows:

Considering the graph containing the equations for the system, the solution of the system of equations is presented by the point of intersection of all the equations of the system.

When the two curves do not intersect, as is the case for the parallel lines in the first graph in this problem, it is said that the system has no solution.

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The approximate population density of the city is 1,005 people/mi²

The correct answer choice is option D.

Population density can be defined as the number of people in a geographic location at a particular time. It is calculated by dividing the total area of a region by the total number of people that live in that area.

Number of square grids = 107

Land mass = 0.75 miles

Number of people = 60, 500

One square grid = 0.75 × 0.75

= 0.5625 square miles

Total area = Area × Number of square grids

= 0.5625 square miles × 107

= 60.1875 square miles

Population density = Number of people / Total area

= 60,500 /60.1875 square miles

= 1005.192107995846

Approximately,

1,005 people/mi²

Hence, 1,005 people/mi² is the population density of the city.

Complete question:

A. 60 people/mi²

B. 565 people/mi²

C. 754 people/mi²

D. 1,005 people/mi²

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Answer:

sec θ csc θ

Step-by-step explanation:

identities: sin²θ + cos²θ = 1, sec θ = 1/cos θ, csc θ = 1/sin θ.

secθ  csc θ = (1/cosθ)  (1/sinθ) = 1/(cosθsinθ) = 1/(sinθcosθ)

tan θ + cot θ = sinθ/cosθ  +  1/tan θ  

                    = sin θ/cos θ + cosθ/sinθ

                   = (sin²θ + cos²θ) / (sinθ cosθ)

                   = 1/sinθcosθ

                   = 1/cosθsinθ

                   = sec θ csc θ

Answer:

The difference between the original price of $16,999 and the discounted price of $13,999 is:

$16,999 - $13,999 = $3,000

So the discount is $3,000.

To calculate the rate of discount as a percentage, you need to divide the discount by the original price, and then multiply by 100.

($3,000 / $16,999) x 100% ≈ 17.65%

Therefore, the rate of discount is approximately 17.65%.

Step-by-step explanation:

Answer:

0.17648 (round to whatever you need) is the RATE of discount

17.648% is the PERCENTAGE of discount

Step-by-step explanation:

(16,999 - 13,999)/ 16,999 = 0.17648

Because of the formula (og price - discount price)/ og price

The total number of carrots and cauliflower is 27, and the number of tomatoes is 19.

Explanation:

Let the number of carrots be c and the number of cauliflower be f.

From the given information, we know that:

c + f = 27 ----(1) (total number of carrots and cauliflower)

19 = tomatoes

We are asked to find the values of c and f. To do this, we can use the equation (1) and substitute 19 for f:

c + 19 = 27

c = 27 - 19

c = 8

Therefore, the number of carrots is 8. To find the number of cauliflower, we can use the equation (1) and substitute the value of c:

8 + f = 27

f = 27 - 8

f = 19

Therefore, the number of cauliflower is 19. Hence, the total number of carrots and cauliflower is:

c + f = 8 + 19 = 27

And the number of tomatoes is:

tomatoes = 19

So, the given information can be summarized as 8 carrots, 19 cauliflower, and 19 tomatoes.

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Answer:

Step-by-step explanation:

To calculate the absolute guessing error, we need to find the absolute difference between each guess and the actual number of marbles (145).

Guess Absolute Guessing Error

190 45

150 5

125 20

133 12

167 22

160 15

148 3

200 55

170 25

115 30

To check, we can verify that each absolute guessing error is the positive difference between the guess and 145.

Answer:

B. 20 feet

Step-by-step explanation:

(30 - 6) = 30 = 16 = x

24 = 30 = 16 = x

4 = 5 = 16 = x

4x = 80

x = 20