(1) If the nullspace of a 4 times 6 matrix A is 3-dimensional, what is the dimension of the column space of A? (2) If the nullspace of an 8 times 5 matrix A is 5-dimensional, what is the dimension of the row space of A?

A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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Answer:

send screenshot if u want me to help u please.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

3*4^(2) - (4*18)/(6)= 36

Answer:

36 + 72 + 36 = ?

Step-by-step explanation:

Answer:

AB and AC are equal because the triangle is an isosceles triangle

Step-by-step explanation:

Answer:

l need a graph

um belo dia abençoado

Answer:

one place to the right

Step-by-step explanation:

you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.

Answer:

AOC=

130 degrees

Step-by-step explanation:

(circle)3x + (square)94 + (circle)x + square)18 + (circle)2x (square)-4 = 180

circles = 3x + x + 2x = 6x

squares = 94 + 18 + (-4) = 108

6x + 108 = 180

- 108 -108

6x = 72

6x/6 = 72/6

x= 12

angle AOC =

3x + 94

3 times 12 + 94

36+94 = 130 degrees

The number of miles driven by Taub in a week is 3 times the number of miles driven by Valeria in a week.

Number of miles driven by each person in a week:

Number of miles driven by Taub : Number of miles driven by Valeria

= 21 : 7

= 21/7

= 3/1

= 3 : 1

Therefore, the number of miles driven by Taub : number of miles driven by Valeria in a week is 3 : 1 in it's simplest form.

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Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

Answer:

Step-by-step explanation:

to find the median you need to arrange the numbers from the least to the greatest

the median is the middle number, or, in this case, where is an even number in this data set, median is the average of the middle numbers

15,17,16,22,24,25,28,32,38,40

25+24=49/2=24.5

Answer:

24.5

Step-by-step explanation:

I took the quiz and this was the answer :D

The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:

You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.

To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:

0.25x + 0.05y = 4.60.

This means that:

The result of this sum means that the total amount of money that you have is of $4.60.

The first equation is given as follows:

x + y = 24.

Which means that the total number of coins that you have is of 24.

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Using combination formula , total 987 ways or outcomes are possible /involve atleast 8 heads.

We have given that, a coin is tossed 10 times .

total possble outcomes = 2¹⁰ = 1024

here, the chances of occurrence of tail and heads and equal so, this is independent event .

we want to calculate total numbers of possble wats atleast 8 heads occurs .

At least 8 heads means exactly two toss gives Tail as a result.

here we count sequences with exactly 8 heads, and also count sequences with more than three heads. We could compute this by equivalent, by subtracting from 1025 the number of sequences with no head, only one head, and only 2 heads

= 1024 - ⁸C₀ ( + ⁸C₁ + ⁸C₂ )

= 1024 - ( 1+8+28) = 1024 - 37

= 987

Hence , 987 outcomes involve atleast 8 heads.

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Answer:

yes

Step-by-step explanation:

The 99% confidence interval for the population mean SAT score for the given mean and standard deviation is given by option c. 1312.5744 to 1487.4256.

Sample size = 50

mean = 1400

Standard deviation = 240

Confidence interval = 99%

To find the 99% confidence interval for the population mean SAT score, use the formula,

Confidence interval = sample mean ± margin of error

where the margin of error is given by,

Margin of error = z × (standard deviation / √(sample size))

Here, the sample mean is 1400, the standard deviation is 240, and the sample size is 50.

To calculate the margin of error, we need the critical value z, which corresponds to the desired confidence level of 99%.

The critical value can be found using a standard normal distribution calculator.

For a 99% confidence level, we have an alpha (α) of 1 - 0.99 = 0.01, divided equally on both tails (0.005 on each tail).

The critical value z can be found as the z-score that leaves an area of 0.005 to the right under the standard normal curve.

Looking up the critical value z in the standard normal distribution using a calculator, we find that z ≈ 2.576.

Now we can calculate the margin of error,

Margin of error

= 2.576× (240 / √50)

≈ 2.576 × (240 / 7.071)

≈ 87.903

The confidence interval is ,

Confidence interval

= 1400 ± 87.903

= (1312.097, 1487.903)

Therefore, corresponds to the given values confidence interval is equal to option c. 1312.5744 to 1487.4256.

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Answer:

Step-by-step explanation:

Mikaela needs to pay for a surfboard:

Mikaela will have money in account:

As she has more money than needed she can buy the surfboard

Answer:

\(\sqrt{26}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = \(\sqrt{(2+3)^2+(2-3)^2}\)

   = \(\sqrt{5^2+(-1)^2}\)

   = \(\sqrt{25+1}\)

    = \(\sqrt{26}\)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.

__

In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.

The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)

__

The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.

For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.

Your full quotient is (n+5) +1/(n-6).

Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

i. The number of people who like banana only is 20.

ii. The number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit is 30.

The question has to do with sets.

A set a collection of well ordered items

Since we have 55 people, 3x + 5 people like banana and x + 5 people like apple. If all the people who like apple also like banana and if 2x + 15 people like at least one of fruit then, we have that

3x + 5 + x + 5 + 2x + 15 = 55

3x + 2x + x + 5 + 5 + 15 = 55

6x + 30 = 55

6x = 55 - 25

6x = 30

x = 30/6

x = 5

Since the number of people who like banana only is 3x + 5.

So, number of people who like banana only is n = 3x + 5

= 3(5) + 5

= 15 + 5

= 20

So, the number of people who like banana only is 20.

Since from the question, a person likes at least one fruit, either banana, apple or both. No one likes none of the fruits.

So, the number of people who like none of the fruits is zero.

To like at most one fruit, the person either likes apple or banana.

So, their sum is n = 3x + 5 + x + 5

= 4x + 10.

Since x = 5, we have n = 4x + 10.

= 4(5) + 10

= 20 + 10

= 30

So, the number of people who like at most one fruit is 30.

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Explanation:

The given line has slope m = -2

Parallel lines have an equal slope, but their y intercepts are different.

Use point slope form to get the following.

y - y1 = m(x - x1)

y - 6 = -2(x - (-7))

y - 6 = -2(x + 7)

y - 6 = -2x - 14

y = -2x - 14 + 6

y = -2x - 8

The answer is:

y = -2x - 8

Explanation:

Parallel lines have equal slopes; knowing that the slope of y = -2x + 6 is -2, we also know that the slope of the line that is parallel to y = -2x + 6 is -2.

Now, let's plug the data into point slope.

Point slope is \(\sf{y-y_1=m(x-x_1)}\), where m is the slope and (x₁, y₁) is a point on the line.

\(\sf{y-6=-2(x-(-7)}\)

Simplify.

\(\sf{y-6=-2(x+7)}\)

\(\sf{y=-2x-14+6}\)

\(\sf{y=-2x-8}\)

The measurement that is closest to the distance between point M and point M in units is 12 units

From the question, we have the following parameters that can be used in our computation:

The distance between the points is the sqauare root of the sum of the squares of the translated uinits

So, we have

Distance = √(8^2 + 9^2)

Evaluate

Distance = 12 units (approx)

Hence, the distance is 12 units

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The contrast coefficients would be as follows:

The farmers are interested in whether there is any difference between the low-low combination (it is the cheapest) and the average of the remaining three levels. The hypotheses they want to test are:

To test this hypothesis, the following contrast would be used:

To compare the high- to low-nitrogen content fertilizers, the following contrast would be used:

To compare the high- to low-phosphorus content fertilizers, the following contrast would be used:

To compare the ll combination to the hh combination, the following contrast would be used:

For each of the contrasts above, the contrast coefficients would be as follows:

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Answer:

18/40

Step-by-step explanation:

Answer:

40 doors.

Step-by-step explanation:

1 train carriage = 4 doors

10 train carriage = 4 x 10 = 40 doors

Step-by-step explanation:

Therefore , the solution of GCD problem comes out to be the greatest common factor of 252 and 60 is 223 = 12.

The number that divides two or more numbers most precisely by itself is said to be the largest common denominator (GCD) of those numbers. It is also known as the highest common denominator (HCF). Since both 15 and 10 can be divided by 5, for instance, the highest common factor of these two numbers is 5.

Here,

The highest common factor (hcf), greatest common factor, and the greatest common divisor (gcd) are other names for it (gcf).

The highest integer which divides both numbers is known as the largest common series of 2 numbers.

We must choose the number that divides 252 and 60 most equally.

252's prime factorization is as follows:

252 = 2×2×3×3×7

the prime factors that make up 60 are.

60 = 2×2×3×5

These common elements are: 2 2 3

Therefore, the greatest common factor of 252 and 60 is 223 = 12.

Therefore , the solution of GCD problem comes out to be the greatest common factor of 252 and 60 is 223 = 12.

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Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667