If the null space of a 5 × 6 matrix A is 4-dimensional, what is the dimension of the row space of A?

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer:

Assuming he fills the entire tea cup (160 cm^3), it will weigh 260g.

Step-by-step explanation:

1 cm^3 of water weighs 1g, thus 160 cm^3 of water would weigh 160g.

100g + 160g = 260g

Dustin's tea cup weighs 100 grams and holds 160 cubic centimeter. He fills it with water. It will now weigh 260g.

One cubic centimeter is equivalent to one gram.

1 cm³ = 1 gram

For given question,

Dustin's tea cup weighs 100g

⇒ Weight of tea cup = 100g

Dustin's tea cup  holds 160 cm³

⇒ Capacity of tea cup = 160cm³

Weight of the water filled = 160cm³

We write it in grams as,

160cm³ = 160g

So, Weight of the water filled = 160 g

Now, Dustin fills the tea cup with water.

We need to find the weight of the cup when filled with water.

As we know when cup is filled with water, it can hold 160 g of water.

Weight of cup when filled = weight of cup + weight of water

                                           = 100g + 160g

                                           = 260g

Therefore, when Dustin fills it with water, the weight of the cup will be 260 grams.

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Answer:

27

Step-by-step explanation:

Answer:

n = 4 and m = 3

Step-by-step explanation:

See answer below :)

According to the information provided, statistics A seems to be an unbiased estimator of the population parameter.

Statistic A is the objective estimator of the population parameter, it should be emphasized. This is as a result of its 75 population parameter being its focal point. Statistic A would provide a more accurate estimate of the population parameter. This is due to the sample mean being 75, which is also the population mean. Given that statistic D is equal to the population means, it would serve as a more accurate estimate of the population parameter. The final point to make is that statistic C has no distribution shape.

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Answer:

a. 0.81

b. 0.81

Step-by-step explanation:

Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.

So if he makes 90% of his free throws, then:

a. The probability that he will make both free throws is (90/100)^2 = 0.81.

b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.

The answers to the questions rounded to 4 decimal places are:

a. 0.81

b. 0.81

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

The area of the tile must be between the whole numbers 64 square yards and 81 square yards.

Side length of the square tile = 8 and 9 yards

Area of the square tile = length ²

= 8²

= 8 × 8

= 64 square yards

Area of the square tile = length ²

= 9²

= 9 × 9

= 81 square yards

Therefore, the area of the tile must be between the whole numbers 64 square yards and 81 square yards.

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Answer:

53.57%

Step-by-step explanation:

Answer:

53.57%

Step-by-step explanation:

Answer:

12 pencils

Step-by-step explanation:

36/6 = 6

you need to divide 36 by 6 as there are 36 pencils.

= 2 * 6 = 12

Answer:

Lane 3 turtle.

Step-by-step explanation:

The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.

Answer:

36 dollars!

Step-by-step explanation:

24 divided by 4 is 6

4 times 3=12

3 times 12 = 36

hopes this helps! :)

Answer:

11

Step-by-step explanation:

divide 209 by 19 to get an equal number of games each month (for 19 months), you will get 11 games each month.

Answer:11

Step-by-step explanation:Because 209 divided by 19

Answer:

Coordinate of A: -9

Coordinate of Q: 9

Step-by-step explanation:

1 - 10 = -9

1 + 8 = 9

negative 10 minus 1 over 7 x akar pangkat 3 plus 4 x

To write the expression -10 - 1/7x^3 + 4x in standard form, we need to arrange the terms in decreasing order of their exponents.

The standard form of a polynomial is:

ax^n + bx^(n-1) + ... + kx^2 + lx + m

where a, b, ..., l, and m are constants, and n is the degree of the polynomial.

So let's start by simplifying -1/7x^3 + 4x:

-1/7x^3 + 4x = -1/7x^3 + 28/7x = (28/7 - 1/7x^3)x

Now we can write the expression in standard form:

-1/7x^3 + 4x - 10 = (-1/7)x^3 + 4x - 10

The degree of the polynomial is 3, and the leading coefficient is -1/7.

A person who studies or involves in stduy and writes word, logic, or mathematical puzzles is known as an Enigmatologist.

In short form, the use of the term Enigmatologist is a general term for anyone who deals with any puzzle science, such as mathematics. However, the word occultism is a new coin coined nearly 30 years ago by the American Will Shortz, the only trained occultist in the world. Shortz graduated from Indiana University with a degree in riddles in 1974 and is now a columnist for the New York Times after many years as editor of the American magazine Games. Hence, someone who studies and writes mathematical, word or logic puzzles.

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The different percentages are, 42%, 21% and 63%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.

Now, we are to find,

100% of 42 people.

This is, (100/100)*42 = 42%.

Again, 50% of 42 people is,

(50/100)*42 = 21%.

Again, 150% of 42 people is,

(150/100)*42 = 63%.

Hence, the percentages are, 42%, 21% and 63%.

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Answer:

Answers are in the explaination.

Step-by-step explanation:

100% of 42 people answer is 42

50% of 42 people answer is 21

150% of 42 people answer is 63

Answer: B

Step-by-step explanation: i don't really know but it looks correct

Answer:

the answer is 3 hope this helps

Answer:

8.4 ft

Step-by-step explanation:

Perimeter = side x 4

(Re-arrange)

Side = Perimeter / 4

34/4 = 8.4 ft

Answer:

8.5 feet

Step-by-step explanation:

Divide 34 by 4. A square has 4 sides which are all the same.

Answer:

Add 8 and 8 and then add 5and 5 and get answer 16

Step-by-step explanation:

Answer:

( -2, 2 )

Step-by-step explanation:

plug the points into the midpoint formula

\(x=\frac{-4+0}{2}=\frac{-4}{2}=-2\\\\y=\frac{7-3}{2}=\frac{4}{2}=2\)

if the 3% comes with the car in equation you take the amount of seperate asteroids created by the moon and divide it by that 3% then add the number 25 and use that to the power of 3 and then you get the answer:

Santa is and isnt real at the same time

Answer:

Length of each side of square is 3 feet

Step-by-step explanation:

Given

Total area of the combined figure is 50.5 ft2

Total area of the combined figure = Area of Square + Area of triangle

Area of Square = Total area of the combined figure -Area of triangle

Area of Square = \(50.5 -41.5 = 9\) ft2

Let x be the side of a square, then its area would be x * x

\(x^2 = 9\\x = 3\)

Length of each side of square is 3 feet

The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

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To find the answer, you must first turn the fractions into decimals. 4 ÷ 5 = 0.8 ; 1 ÷ 2 = 0.5 ; 1 ÷ 10 = 0.1. Then you must subtract 0.5 from 0.8. Then add 0.1 to 0.3 .

Therefore, the solution to the system of equations is x = -1.9 and y = 1.78.

The identical symbol (=) is used in arithmetic equations to signify the equality of two statements. It is shown that it is possible to evaluate various numerical factors using mathematical techniques, which have served as manifestations of reality. In actuality, even though the solution is y + 6 = 12, the equal sign divides the figure 12 into two distinct parts. How many characters are also present along either end of such a character can be calculated. Conflicting sign readings are common.

Here,

To solve the system of equations:

1.2x + 3.3y = 3.6

2.5x - 4y = -7.5

We can use the method of substitution or elimination. Here's one way to solve it using elimination:

First, we can multiply the first equation by 10 to eliminate the decimals:

12x + 33y = 36

2.5x - 4y = -7.5

Now, we can multiply the second equation by 11 to get the same coefficient for y as in the first equation:

12.5x - 44y = -82.5

12x + 33y = 36

Next, we can add the two equations to eliminate y:

24.5x = -46.5

Finally, we can solve for x:

x = -46.5/24.5 = -1.9

Substituting this value of x into either of the original equations, we can solve for y:

1.2x + 3.3y = 3.6

1.2(-1.9) + 3.3y = 3.6

-2.28 + 3.3y = 3.6

3.3y = 5.88

y = 1.78

Therefore, the solution to the system of equations is x = -1.9 and y = 1.78.

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Answer:

3/8

Step-by-step explanation:

3/4 x 2/4 = 3/8 as a fraction form.

Answer:

3/8

Step-by-step explanation: