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Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

25/4

Step-by-step explanation:

I just did it and got It right on M period

The value of x = -25/ a

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation 15 + ax/5=10. we need to solve for x

15 + ax/5=10

Subtract 10 from, both side then

15 - 10+ ax/5=10 -10

15 - 10+ ax/5= 0

5 + ax/5= 0

Now subtract ax/5 on both side we get

5  = -ax/5

Cross multiplication;

25 = -ax

Therefore, the value of x = -25/ a

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There are 5 choices left), and 5 ways to choose the remaining element of Y. This gives us a total of 7 × 5 × 5 = 175 ordered pairs (X,Y).

Let's first consider the possible values of |X ∪ Y|.

If |X ∪ Y| = 1, it means that X and Y have no elements in common, and each set has only one element. There are 7 such sets: {1},{2},{3},{4},{5},{6},{7}.

If |X ∪ Y| = 2, it means that X and Y have one element in common. There are 7 ways to choose the common element, and 6 ways to choose the remaining element of X (it cannot be the same as the common element, so there are only 6 choices left), and 6 ways to choose the remaining element of Y (again, it cannot be the same as the common element or the element of X, so there are only 6 choices left). This gives us a total of 7 × 6 × 6 = 252 ordered pairs (X,Y).

If |X ∪ Y| = 3, it means that X and Y have two elements in common. There are 7 ways to choose the common elements, and 5 ways to choose the remaining element of X (it cannot be any of the common elements, so there are 5 choices left), and 5 ways to choose the remaining element of Y. This gives us a total of 7 × 5 × 5 = 175 ordered pairs (X,Y).

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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The weight of the object is 79.461 newtons.

The standard value for the acceleration due to gravity is approximately 9.81 m/s^2 near the Earth's surface.

To find the weight of an object with a mass of 8.1 kg, we can use the formula:

Weight = mass x acceleration due to gravity

So, the weight of the object is:

Weight = 8.1 kg x 9.81 m/s^2

Weight = 79.461 N (newtons)

Hence, the weight is 79.461 newtons.

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Answer: TRUE

Step-by-step explanation:

12g+21 equals to 3(4g+7) because you have to multiply 3 and 4g which will equal 12g and then multiply 3 and 7 which will equal 21.

So your final answer would be 12g+21 equals to 12g+21.

Hope it helps!!

Answer:

i hope this is the answer

Step-by-step explanation:

both option (a) and option (b) represent equivalent expressions to 3(4h + 2k), while option (c) indicates that none of the given expressions are equivalent to 3(4h + 2k).

The expressions that are equivalent to 3(4h + 2k) are:

a) 3(2k + 4h)

b) 3(4k + 2h)

Both options (a) and (b) are correct.

In option (a), the terms inside the parentheses are rearranged, but the coefficients of h and k remain the same.

Similarly, in option (b), the terms inside the parentheses are rearranged, but the coefficients of h and k remain the same.

Therefore, both option (a) and option (b) represent equivalent expressions to 3(4h + 2k), while option (c) indicates that none of the given expressions are equivalent to 3(4h + 2k).

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Median should be used to determine which location typically has the cooler temperature, considering the data provided.

When comparing the data, the measure of center that should be used to determine which location typically has the cooler temperature is the median, because Desert Landing is skewed.

Skewness refers to the asymmetry of a distribution. In the case of Desert Landing, the graph is titled "Temps in Desert Landing," and it is described that the shaded bar stops at 2 above the interval 60 to 69, which means the frequency of temperatures in that range is lower compared to the other intervals. Similarly, the shaded bar stops at 4 above the interval 70 to 79, indicating a higher frequency of temperatures in that range. This suggests a skewed distribution where the data is not evenly distributed around the center.

In a skewed distribution, the mean can be influenced by extreme values, while the median is a more robust measure of center. The median represents the middle value when the data is ordered from lowest to highest. Since Desert Landing has a skewed distribution, the median would be more appropriate to determine which location typically has the cooler temperature.

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

A- (3, 1), (6, 2), (9, 3) and C- (1.5, 3), (3, 6), (4, 8) are Correct

Step-by-step explanation:

Answer:

-81i

Step-by-step explanation:

(-3i)^3(-3)=-81i

Answer:

I'm pretty sure its w=128

Step-by-step explanation:

so what i did was the inverse operation which the opposite of ÷4 is ×4 so 4 is already canceled out so then all you have left is 32×4 which is 128. Hope this helps

the value of p and d are P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]] and

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]  To diagonalize a matrix A, initially the value of  eigenvalues and eigenvectors to be find. The eigenvalues of the matrix are λ = -3 and 12.

The eigenvectors for λ = -3 are obtained by the solutions to the equation given as:

(A - λI)v = 0 then,

(A + 3I)v = 0

hence

| 2 5 5 | |v1| | 0|

| 5 2 5 | . |v2| = | 0|

| 5 5 2 | |v3| | 0|

hence The solution obtained by the  equation is given by:

v1 = -v2 + v3

The eigenvectors for λ = 12 are obtained by the solutions to the equation:

(A - λI)v = 0

Which is:

(A - 12I)v = 0

Which is:

| -10 -5 -5 | |v1| | 0|

| -5 -10 -5 | . |v2| = | 0|

| -5 -5 -10 | |v3| | 0|

hence The solution obtained is :

v1 = v2 = v3

So the eigenvectors are:

v1 = [-1, 1, 1] for λ = -3

v2 = v3 = [1, 1, 1] for λ = 12

The matrix P is the matrix whose columns are of  the eigenvectors of A:

P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]]

The matrix D is the diagonal matrix whose diagonal elements are of the eigenvalues of A:

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]

therefore , A can be diagonalized as A = PDP^-1

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Answer:

a² + b² = c²

it is used to find a missing side in a right angled triangle

Answer:

in mathematics pythagoras is a fundamental relation in euclidean geometry among the three side of a right triangle

To balance the line by choosing the assignable task with the longest task time first, you need to follow these steps. Determine the task times for each assignable task in the line.

Identify the assignable task with the longest task time. Assign that task to the first station in the line. Calculate the remaining cycle time by subtracting the task time of the assigned task from the total cycle time.
Repeat steps 2-4 for the remaining assignable tasks, considering the updated cycle time after each assignment.

Task A has the longest task time, so it is assigned to the first station. After each assignment, the cycle time is updated by subtracting the task time of the assigned task.  Task B is assigned to the second station, and Task C is assigned to the third station. Since Task C has a task time of 1.2 minutes, the remaining cycle time becomes 0. After that, Task D and Task E are not assigned any task time because the remaining cycle time is already 0. The specific values will depend on the actual task times and cycle time in your scenario.

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By following these steps, you will be able to balance the line by choosing the assignable task with the longest task time first. The final answer will be the completed table with all the relevant information.

To balance the line by choosing the assignable task with the longest task time first, we need to follow certain steps and fill in the table accordingly.

Step 1: Determine the cycle time.

Given that the cycle time is 2.3 minutes, we will use this value as a reference for balancing the line.

Step 2: List the tasks and their task times.

Create a table with columns for tasks and task times. List all the tasks that need to be performed on the line and their respective task times.

Step 3: Sort the tasks in descending order.

Sort the tasks in descending order based on their task times, with the longest task time at the top and the shortest at the bottom.

Step 4: Calculate the number of operators required for each task.

Starting from the top of the table, divide the task time by the cycle time. Round up the result to the nearest whole number to determine the number of operators needed for each task.

Step 5: Calculate the balance delay.

For each task, calculate the difference between the number of operators required and the number of operators available. This represents the balance delay for each task.

Step 6: Fill in the table.

Fill in the table with the tasks, task times, number of operators required, and balance delay for each task.

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Answer:

its  B

Step-by-step explanation:

Three lollipops are more expensive than two pencils.

Given that three erasers cost as much as 2 lollipops.

Let e denote the cost of an eraser and l denote the cost of a lollipop.

A pencil costs as much as two erasers, which implies that the cost of a pencil is two times the cost of an eraser. Therefore, the cost of a pencil is 2e.

Likewise, three erasers cost as much as 2 lollipops, which implies that the cost of an eraser is (2/3) l.

Therefore, the cost of a pencil is 4/3 times the cost of a lollipop.

Thus, the cost of two pencils is 4/3 * 2l = 8/3 l.

The cost of three lollipops is 3l.

Now, we must determine whether 8/3 l is greater than 3l or vice versa.

8/3 l = 2.67 l

Since 2.67 l < 3 l, the conclusion is that three lollipops are more expensive than two pencils.

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Answer:

while answering this my brain stop working so i had to think fast so i remove my brain put some soil inside to light it up problem not solve im an alpha kid

Answer:

BOC= 110 degrees

Step-by-step explanation:

you can refer the above explanation

Answer:

four nine dollar books

Step-by-step explanation:

36 divivded by 9

When two marbles are selected at random without replacement from a box containing marbles numbered 1, 2, 3, 4, and 5, the probability distribution for the maximum value of the two marbles is uniform. Each possible maximum value (1, 2, 3, 4, or 5) has an equal probability of 1/5.

The probability distribution is the list of probabilities for each possible value of the random variable. For this problem, the random variable is the maximum value of the two marbles selected.

To find the probability distribution for the maximum of the two values on the marbles, we need to consider all possible outcomes and their corresponding probabilities.

Let's analyze each possible outcome:

This can only occur if we select the marble numbered 1 first, followed by any other marble. The probability of this is (1/5) * (4/4) = 1/5.

This can occur if we select the marble numbered 2 first, followed by either the marble numbered 1, 3, 4, or 5. The probability of this is (1/5) * (4/4) = 1/5.

This can occur if we select the marble numbered 3 first, followed by either the marble numbered 1, 2, 4, or 5. The probability of this is (1/5) * (4/4) = 1/5.

This can occur if we select the marble numbered 4 first, followed by either the marble numbered 1, 2, 3, or 5. The probability of this is (1/5) * (4/4) = 1/5.

This can occur if we select the marble numbered 5 first, followed by any other marble. The probability of this is (1/5) * (4/4) = 1/5.

Now, we can summarize the probability distribution for the maximum of the two values on the marbles:

Maximum Value Probability

       1                     1/5

       2                     1/5

       3                     1/5

       4                     1/5

       5                          1/5

Therefore, the probability distribution for the maximum of the two values on the marbles is uniform, with an equal probability of 1/5 for each possible maximum value.

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Given that: Five marbles, numbered 1, 2, 3, 4, and 5, are placed in a box. Two marbles are selected at random without replacement.

We are to find the probability distribution for the maximum of the two values on the marbles.

To find the probability distribution for the maximum of the two values on the marbles, we consider all the possible pairs that can be formed from the five marbles i.e.

(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), and (4,5).

The maximum of the two values on the marbles are: 2, 3, 4, 5, 3, 4, 5, 4, 5, and 5 respectively.

Hence the probability distribution table can be obtained as shown below:

Maximum of the two values on the marbles, x    Probability, P(x)2     1/103     2/104     3/105     4/10

Thus the probability distribution for the maximum of the two values on the marbles is shown above.

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When ordering the given numbers on the number line from left to right, the correct order is:

-4, -(-4) or 4, |3.5| or 3.5, -3, |-2.5| or 2.5, and |5| or 5.

Starting with x = -4, which is already given, we move to -(-4) or 4, which is the positive value of -4. Next, we have |3.5|, which represents the absolute value of 3.5, resulting in 3.5. Moving to -3, we have a negative number. Then, |-2.5| is the absolute value of -2.5, which is 2.5. Finally, |5| is the absolute value of 5, which remains as 5.

Therefore, the numbers on the number line, from left to right, would be -4, 4, 3.5, -3, 2.5, and 5.

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Answer:

Adjacent and Complementary

Step-by-step explanation:

the lower quartile is the value of the middle of the first set of numbers, the upper quartile is the middle of the second set.

for example: 2 2 5 (7 )2 0 9

the seven is the median.

upper quartile would be the zero.

and lower quartile would be the second two.

hope this helps!