This is the number in standard form: 500,802,009,612



What is the number in expanded form?

Answer:

1,2,4,5,10

1,2,3,5,6

60

Step-by-step explanation:

The matrix is singular when x = 9.

A matrix is said to be singular if it is not invertible, which means that its determinant is zero. The determinant of a 2x2 matrix [a b; c d] is given by ad - bc.

In the given matrix A = [3 x; -2 -6], the determinant is (3)(-6) - (x)(-2) = -18 + 2x.

Therefore, A is singular when -18 + 2x = 0, which gives x = 9. However, we also need to check if x = 1/2 satisfies the condition for singularity.

When x = 1/2, the determinant of A is (3)(-6) - (1/2)(-2) = -18 + 1 = -17. Therefore, A is not singular when x = 1/2.

Hence, the matrix A is singular only when x = 9.

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Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

\(\frac{7}{8}\) ÷ 8\(\frac{3}{4}\)

8\(\frac{3}{4}\)  = \(\frac{35}{4}\)

\(\frac{7}{8}\) ÷ \(\frac{35}{4}\) = \(\frac{7}{8}\) · \(\frac{4}{35}\) = \(\frac{28}{280}\) = \(\frac{1}{10}\)

So, the answer is  \(\frac{1}{10}\)

We are asked to find the area of the following figure:

We notice that the figure consist of a large rectangle in the bottom part, and a smaller square of 5 in x 5 in at the top right. We find each area and then add them together for the total area:

Area rectangle = 18 in x 17 in = 306 in^2

Area of square 5 in x 5 in = 25 in^2

The addition of both gives: (306 + 25 ) in^2 = 331 in^2

So, please type as solution: 331 square inches.

Answer:

C. is your answer nwow.

Step-by-step explanation:

Answer:

It owuld be -2

Step-by-step explanation:

Yes

Answer:

These angles are complementary and congruent, so x = 15.

Step-by-step explanation:

\(3x + 45 = 90\)

\(3x = 45\)

\(x = 15\)

When determining sample size for the first test, it is most important to Weigh the potential consequences of a test that does not lead to improvement against the belief in success.

When evaluating a patient, a patient assessment form is used to evaluate the patient's potential diagnosis and the appropriate course of therapy. To prevent misdiagnosis and ensure that the right therapy is given, it is crucial to gather relevant data. In order to register patients for operations provided by medical institutions, patient registration forms are utilised. Our free patient registration forms will efficiently capture patient information online, streamlining the registration and onboarding process whether you need to register new patients for your hospital, clinic, health centre, or private practise. Usability testing may find and support data-driven design decisions that have been drawn from practitioner usage of the system in a hectic office setting. Health care safety may be improved by using human factors understanding of HCI design and its effects on human performance.

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Answer:

1134cm³

Step-by-step explanation:

rolled along the length means the length becomes the height of the cylinder.

length of rectangle = height of cylinder= 44 cm

breadth of rectangle = circumference of top and bottom circles = 18 cm

to find radius = 2πr = 18

2 * 22/7 *r = 18

22/7r = 18/2

22/7r = 9

r = 9*7/22

r= 63/22

Volume of cylinder formula = πr²h

= 22/7 * 63/22 * 63/22 *44

= 63 * 18

= 1134 cm³

(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)

Hope this helps you!

Answer:

4 stacks of packages

4 * 4 = 16 pieces of pancake

Step-by-step explanation:

Maximum amount to spend ≤ $30

Milk chocolate = $3.25

Pancakes per stack = 5.50 (sold in stacks of 4)

Let number of stacks = s

In equality terms :

3.25 + 5.50s ≤ 30

5.50s ≤ 30 - 3.25

5.50s ≤ 26.75

s ≤ 26.75 / 5.50

s ≤ 4.86

Hence, 4 stacks of pancakes can be purchased

Answer:

3.25+5.50S<30

Step-by-step explanation:

Benjamin can afford at most 16 pancakes

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

→ 2x + 6 = 6x + 26

→ -6x + 2x = 26 - 6

→ -4x = 20

→ x = 20/4 = 5

→ x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

The area of the NCAA basketball court is 4700 square feet and the area of the similar court is 5142.78 square feet.

Given the length and width of an NCAA basketball court are 94 feet and 50 feet respectively, and it has an area of 4700 square feet.

The school plans to make a similar court with the width of 45 feet. We need to find the area of both courts. Let's begin by finding the area of the NCAA basketball court.

Area of the NCAA basketball court = Length x Width= 94 feet x 50 feet= 4700 square feet. Given the width of the similar court is 45 feet. Width of the NCAA basketball court = 50 feet. Width of the similar court = 45 feet. We need to find the length of the similar court.

The length of the similar court can be obtained using the proportion method.

Area of the NCAA basketball court / Area of the similar court = 1. Let the length of the similar court be "x". Area of the NCAA basketball court / Area of the similar court = (Length of the NCAA basketball court / Length of the similar court)²Area of the similar court = Area of the NCAA basketball court × (Length of the similar court / Length of the NCAA basketball court)².

Area of the similar court = 4700 × (x / 94)²

Area of the similar court = (4700 x²) / 94²

Area of the similar court = (4700 x²) / 8836

We know the width of the similar court is 45 feet. Area of the similar court

= Length x Width(4700 x²) / 8836

= x × 45x = (4700 x²) / (8836 x 45)x

= 470000 / (8836 x 45)x

= 114.284 ft.

Therefore, the length of the similar court is 114.284 ft. Area of the similar court =

Length × Width. Area of the similar court = 114.284 ft × 45 ft.

Area of the similar court = 5142.78 square feet.

The area of the NCAA basketball court is 4700 square feet and the area of the similar court is 5142.78 square feet.

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Answer: Hello, I can help!

The probability that Jerry will have to wait for the bus for more than five minutes is 0.3. Therefore, the probability that he will not have to wait for more than five minutes is 0.7 (since the sum of the probabilities of all possible outcomes is 1).

The probability that Jerry does not wait for more than five minutes on any one day is 0.7. The probability that he does not wait for more than five minutes on all 5 days is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is 0.16807 or about 16.81%.

Step-by-step explanation: rest easy my friend:)

Answer:

To answer this question, we need to use the binomial probability formula:

P(X = k) = nCk * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the number of combinations of k elements out of n.

In this case, n = 5 (the number of days in a week), k = 5 (the number of days that Jerry does not wait for more than five minutes), and p = 0.7 (the probability that Jerry does not wait for more than five minutes on any given day).

Plugging these values into the formula, we get:

P(X = 5) = 5C5 * 0.7^5 * (1 - 0.7)^(5 - 5)

P(X = 5) = 1 * 0.16807 * 1

P(X = 5) = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is about 16.8%.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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The measure of angle X to the nearest degree is 41°.Explanation: To determine the measure of angle X, we can use the following formula: Angle X = 90° - angle Y First,

we need to determine the measure of angle Y by applying the angle sum property of a triangle. Angle Y = 180° - 40° - 99° = 41°Therefore, Angle X = 90° - 41° = 49° Thus, the measure of angle X to the nearest degree is 41°.

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Answer:

Charge Zone

Step-by-step explanation:

If Charge Zone (CZ) costs 15.80 for 20, and Electrocell batteries (EB) costs 8.10 for 10 batteries, you would find the price and quantity amount by multiplying by two. 8.10x2= 16.20, which is more than CZ.

Therefore, CZ is of better value.

We expect -4.76 more defective pumpkin seeds than bean seeds.

So we can round up to zero and conclude that we don't expect any more defective bean seeds than pumpkin seeds in the shipment.

Based on the dot plots, we can estimate the proportion of defective seeds in each sample.

To do this, we count the number of dots above the dashed line in each plot and divide by the total number of seeds in the sample.

For the bean seeds, we count a total of 7 + 2 + 3 + 3 + 1 + 1 + 2 + 0 + 1 + 1 = 21 defective seeds out of a total of 250 x 25 = 6,250 seeds.

So the estimated proportion of defective bean seeds is 21/6250 = 0.00336.

For the pumpkin seeds, we count a total of 4 + 5 + 4 + 5 + 4 + 4 + 4 + 4 + 4 + 4 = 38 defective seeds out of a total of 250 x 25 = 6,250 seeds.

So the estimated proportion of defective pumpkin seeds is 38/6250 = 0.00608.

To estimate the number of defective seeds in the shipment of 1,750 seeds of each type, we can multiply the estimated proportion of defective seeds by the total number of seeds.

For the bean seeds, we expect 0.00336 x 1750 = 5.88 defective seeds. For the pumpkin seeds, we expect 0.00608 x 1750 = 10.64 defective seeds.

Therefore, we expect 5.88 - 10.64 = -4.76 more defective pumpkin seeds than bean seeds.

However, this result doesn't make sense because we can't have negative defective seeds.

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(a) In trade equilibrium, the consumption point for the Home consumer can be shown on a graph where wheat is on the x-axis.

(b) If the world relative price increases above 2/3, the Foreign consumer's utility will decrease compared to the benchmark trade equilibrium with a world price of 2/3.

a, Since the relative price of wheat to cloth is 2/3, the Home consumer's consumption point will lie on a budget line with a slope of -2/3. The specific coordinates of the consumption point cannot be determined without additional information about preferences and the Home consumer's budget constraint.

To show that an increase in the relative price of wheat from 2/3 raises Home's utility, we need to consider the concept of substitution effect. When the relative price of wheat increases, it becomes relatively more expensive compared to cloth. The Home consumer will respond by consuming less wheat and more cloth, moving along the budget line to a new consumption point. This movement is driven by the substitution effect, where the consumer substitutes away from the now relatively more expensive wheat towards the relatively cheaper cloth. Since the Home consumer's preferences and utility are not known, the specific utility level cannot be quantified, but it can be concluded that the utility increases due to the substitution effect.

b.  In the benchmark equilibrium, the Foreign consumer maximizes utility given the initial relative price. If the relative price increases, it means that wheat becomes relatively more expensive compared to cloth in the world market.

As a result, the Foreign consumer will have to consume less wheat and more cloth in order to remain on the same budget line. This movement along the budget line leads to a decrease in utility because the consumer has to give up some desired wheat consumption to obtain more cloth. The magnitude of the utility decrease depends on the specific preferences and utility function of the Foreign consumer, but it can be concluded that the utility will be lower when the relative price of wheat increases above 2/3 in the world market.

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