What is 60% of 50?


20

30

40

60

(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1

The dimension of U is n - 1

(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:

If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.

If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.

Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.

As a result, U is a subspace of L. (V, W).

(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:

Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).

Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).

As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.

(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.

For more such questions on Dimensions, click on:

https://brainly.com/question/28464

#SPJ4

Answer: Scalene and isosceles

Step-by-step explanation:

Answer:all three of them achieve the sales target together in 120 days.

Step-by-step explanation:

Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.

Then,  the number of days taken by all of them to achieve the sales target together = \(\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}\)

\(=\dfrac{1}{120}\)     [LCM(30,40,60)=120]

Thus, all three of them achieve the sales target together in 120 days.

Answer:

54

Step-by-step explanation:

angle A+angle B+Angle C =180 degree [ angle sum property of a triangle]

36 +90 + angle B =180 degree

126 +angle B =180 degree

angle B= 180-126

54 degree

Ans

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

If you want to learn more about probability, you can read:

https://brainly.com/question/23044118

A) The Number of Combinations if there are no restrictions on the seating arrangements are 5040 ways.

B) There are three friends That must sit together

in 36 ways.

C) Three friends are next To each other in 144 different ways.

Total number of people = 7 and seated in a row.

Combination is arrangement of objects in a particular order. The formula of combination is

ⁿCₓ = n!/(n-x)! x!

n --> total number of objects

we have to determine how many ways can 7 be seated in a row.

A) if there are no restrictions on seating arrangement, The number of possible ways = n!

Here, n! = 7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Therefore, there are 5040 ways that the people can be seated when there is no restriction on the seating arrangement.

b) There are three friends that must sit Together. The three persons can be arranged in 3!

The possible number of ways = 3! × 3! × 1

= 3× 2×1 ×3×2×1

= 36

C) If there are three friends must sit next to one another. There are total seven persons . Three persons sit next to one another. The possible number of ways = 3! × 4!

= ( 3 × 2 × 1) × (4 × 3 × 2 × 1)

= 6 × 24

= 144 ways

Therefore, if there are 3 sit next to one another, there are 144 ways of seating arrangement.

To learn more about Combination, refer:

https://brainly.com/question/28065038

#SPJ4

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

For more question on payment visit:

https://brainly.com/question/27926261

#SPJ8

Given

To find the value of b.

Explanation:

It is given that,

By using Pythagorean theorem,

Hence, the value of b is 72.

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

For more such questions on mode

https://brainly.com/question/14532771

#SPJ8

Answer:

Amount lost by lake Jensen = 2/3 = 66%

amount lost by lake parlow = 60 %

amount lost by lake Stockton = 123/200 = 61.5 %

so least amount of water is lost by lake parlow = 60%

Answer:

1  1/2 gallons

Step-by-step explanation:

there are two pints in one quart so 2 quarts plus 8 pints equals

2 quarts plus 4 quarts, or 6 quarts

there are 4 quarts in one gallon so 6 quarts is the same as 1 gallon and 2 quarts

2 quarts is half of one gallon

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Using compound interest, it is found that she will earn $23 in interest during the 18-month period.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters in this problem are given as follows:

\(P = 1200, r = 0.0125, n = 12, t = 1.5\).

The amount of money at the end of the 18 months will be of:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(t) = 1200\left(1 + \frac{0.0125}{12}\right)^{12(1.5)}\)

A(t) = $1,223.

The amount of interest earned is:

I = $1,223 - $1,200 = $23.

More can be learned about compound interest at https://brainly.com/question/25781328

#SPJ1

Answer:

Step-by-step explanation:

✓(x-5) - 5 = 3

✓(x-5) - 8 = 0

(✓(x-5))² - 8² = 0

x-5 - 64 = 0

x - 69 = 0

x = 69

The required point-slope form of the equation of the line exists y + 9 = 4/3 (x + 9).

A slope of a line exists the change in the y coordinate with respect to the change in the x coordinate. The net change in the y-coordinate exists defined by Δy and the net change in the x-coordinate exists defined by Δx. Where “m” exists the slope of a line. So, tan θ to be the slope of a line.

The slope of the line exists a tangent angle created by line with horizontal.

i.e. m = 4/3 where x in degrees.

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - (-9) = 4/3 (x - (-9))

y + 9 = 4/3 (x + 9)

Therefore, the required point-slope form of the equation of the line is y + 9 = 4/3 (x + 9).

To learn more about slopes refer to:

brainly.com/question/3605446

#SPJ13

Answer: radius and height

Step-by-step explanation:

Radius is the distance between the center of the circle to its boundary.

Height is the length of the figure from top to bottom.

Given statement : A cylinder with height of 42 millimeters and radius of 12 millimeters.

That clearly means that the cylinder is having radius of 12 millimeters i.e. 12 is representing the measure of the radius of the cylinder.

And Similarly, 42 is representing the measure of the height of the cylinder.

Hence, the 2 and 42 describe the radius and height respectively of the cylinder.

Answer:

radius and height

Step-by-step explanation:

i just took the test edge 2020. rate me 5 stars!

The compound inequality for the graph given is  -2 < x < 5.

When a compound inequality is graphed such that there is an open circle instead of a filled - in circle over a number, then it means that x is either greater than this value, or less than this value. In other words, x is not equal to this value.

The circles over - 2 and 5 are not filled in which means that x is greater or less than - 2 and 5.

x is less than 5 because the arrow goes from 5 to infinity and x is greater than - 2 for the same reason.

The compound inequality is therefore:

-2 < x < 5

Find out more on compound inequalities at https://brainly.com/question/30109952

#SPJ1

Answer:

This is NOT a solution

Step-by-step explanation:

If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13

Answer:

Step-by-step explanation:

1. there is 4 zeros in 10 4, the product is 10,000

2. 100,000

3. 100

Answer:

its 100000

Step-by-step explanation:

10×10=100×10=1000×10=10000×10=100000

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

Learn more about mathematics click;

https://brainly.com/question/27235369

#SPJ1

Answer:

$77

Step-by-step explanation:

7 people, each person paid 17, 17x7 = 119, salad was 42, 119 - 42 = 77

The probability that the couple will have 3 normal girls is approximately 0.422

Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.

The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.

We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:

P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)

The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.

Therefore, the probability of having 3 normal children (in this case, girls) is:

P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422

So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.

To learn more about probability, refer:-

https://brainly.com/question/9793303

#SPJ4

Answer:

Letter D)    \(C(w)=75w+100\)

Step-by-step explanation:

you have to pay $100 for the enrollment fee and w goes with 75 because you have to pay $75 per week.

Hope this helps

[i] … … … x + 3y - z = 9

[ii] … … … 2x + 9y + 4z = 12

[iii] … … … x + 4y + z = 7

Eliminate z by combining …

• … 4 times equation [i] and equation [ii] :

4 (x + 3y - z) + (2x + 9y + 4z) = 4•9 + 12

(4x + 12y - 4z) + (2x + 9y + 4z) = 36 + 12

6x + 21y = 48

2x + 7y = 16

• … equation [i] and equation [iii] :

(x + 3y - z) + (x + 4y + z) = 9 + 7

2x + 7y = 16

Since we ended up with 2 copies of the same equation, we have infinitely many solutions for x, y, and z. That is, we have infinitely many choices for x and y that satisfy 2x + 7y = 16, and consequently infinitely many choices for z to satisfy any of the 3 original equations.

We can parameterize the solution by letting, for instance, x = t; then the solution set is

x = t

2x + 7y = 16   ⇒   y = (16 - 2t)/7

x + 3y - z = 9   ⇒   z = t + 3 (16 - 2t)/7 - 9   ⇒   z = (t - 15)/7

where t is any real number.

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Given

Formula

Answer:

3.2

Step-by-step explanation:

Each box that is fully shaded represents the number 1.The box next to it represents the number after the decimal point. So the first box equals 1.7 and the second box equals 1.5. Since it is asking the sum, we know that they are telling us to add. So if you add 1.7 and 1.5 you get 1.12. However since a full shaded box is 10, you turn the 2 into a 3 and keep the remainder after the decimal point, resulting in 3.2.

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72