En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?

We can say that the two triangles are similar by AA

From the question, we are to determine which of the given statement is correct

From the given information,

< A = 97 °, < B = 46 °,

and

< D = 97 ° and < F = 37 °

Thus, we can write that

< C = 180° - (97° + 46°)

< C = 180° - 143°

< C = 37°

Also,

< E = 180° - (97° + 37°)

< E = 180° - 134°

< E = 46°

Thus,

< A = 97 °, < B = 46 °, and < C = 37°

and

< D = 97 °, < E = 46°, and < F = 37 °

This means triangle ABC is similar to triangle DEF by the AAA theorem

Hence, we can say that the two triangles are similar by AA

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Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

one solution

Step-by-step explanation:

the solution to a system of equations given graphically is at the point of intersection of the 2 lines, that is (1, 2 )

Since there is only 1 point of intersection then there is only one solution.

The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.

Genetic probabilities and chromosomes

Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.

The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.

In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).

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The 2x2 change-of-basis matrix PS2+S1 is [1/3 -1/3; 1/6 1/3].

The component vector of f(x) with respect to S2 is (35/6, 31/6).

The vector space V consists of all linear combinations of 1 + x². The ordered basis S = {1 + 2x, x} and S2 = {1 + 2x + x², 2 + x + 2x²} are given for V. To find the change-of-basis matrix PS2+S1, we need to express the basis vectors of S in terms of S2, and then form a matrix using the coefficients of the resulting linear combinations.

After performing the necessary calculations, we get PS2+S1 = [1/3 -1/3; 1/6 1/3].

The component vector of f(x) with respect to Sj is obtained by expressing f(x) as a linear combination of the basis vectors in Sj, and then finding the coefficients of the resulting linear combination.

For S2,

we have f(x) = 5 + 3x + 5x² = (35/6)(1 + 2x + x²) + (31/6)(2 + x + 2x²), which gives us the component vector of f(x) with respect to S2 as (35/6, 31/6).

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None of the statements you have provided are true about block design.

Here is an explanation of each statement:

i. The random assignment of units to treatments in a block design is not necessarily accomplished in groups. In a block design, units are randomly assigned to treatments within blocks, where a block is a group of units that are similar in some relevant way. For example, if you are conducting an experiment to compare the effectiveness of different fertilizers on plant growth, you might create blocks based on soil type, since different soil types may have different levels of nutrients that could affect plant growth. Within each block, you would then randomly assign the units (plants) to different fertilizers.

ii. Matched pairs is not a type of block design. Matched pairs is a type of experimental design in which pairs of units are matched on some relevant characteristic (e.g., age, gender, weight, etc.), and one member of each pair is randomly assigned to the experimental treatment while the other is assigned to the control.

iii. The purpose of blocking is not to increase variation in results. The purpose of blocking is to control for variables that could affect the outcome of the experiment. By grouping units that are similar in some way, you can reduce the influence of these variables on the results of the experiment. For example, if you are comparing the effectiveness of different fertilizers on plant growth and you have blocks based on soil type, you can be more confident that any differences in plant growth are due to the fertilizers and not to differences in soil type.

Thus, None of the statements you have provided are true about block design.

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Answer:

Random assignment is done SEPARATELY in the blocks/groups.

Matched pair design IS a type of block design.

The purpose of blocking is to DECREASE variation

DOUBLE CHECK

FLVS has different versions of this exact question. All of the above are true. If your question states that blocking is to increase variation, then that option is NOT true - check EVERYTHING. Otherwise you will not get points.

Step-by-step explanation:

Got this correct on the Segment Exam.

The probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

To calculate the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election, we can use the binomial probability formula.

The formula is: P(x) = (ⁿCₓ) × pˣ × (1-p)⁽ⁿ⁻ˣ⁾

In this case, n = 328, p = 46.37%, and x = 164 (since half of 328 is 164).

Plugging in the numbers we get:

P(x) = ³²⁸C₁₆₄ × (0.4637)¹⁶⁴ × (0.5363)⁽³²⁸⁻¹⁶⁴⁾ = 0.0532

Therefore, the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

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Answer:

10%

Step-by-step explanation:

\(5 \div 50 = 0.1\)

\(0.1 \times 100 = 10\)%

Answer:

6

Step-by-step explanation:

BIDEN 2020

Answer:

A = 24, B = 25, C = 26, D = 27

Step-by-step explanation:

Assuming a positive (0+) straight number line, increasing from left to right, decreasing from right to left.

If : Position A (lies leftwards to) < position B (lies leftwards to) < position C (lies leftwards to) < position D (lies leftwards to) , or

Position D (lies rightwards to) > position C (lies rightwards to) < position B (lies rightwards to) < position D (lies rightwards to)

So, as : 24 < 25 < 26 < 27 ; 27 > 26 > 25 > 24

Then : A corresponds to 24, B corresponds to 25, C corresponds to 26, D corresponds to 27.

Answer:

1/3

Step-by-step explanation:

2/5 x 5/6

10/30

1/3

Answer: He bought 20 ice cream bars and 14 popsicle

Step-by-step explanation:

To solve this I used the elimination method, you could use substitution as well

Here are our two equations

x+y=34 Because the total number of ice creams bought must be given to 34 children and no more

2x+5y=128 because that is the cost for each ice cream and the amount he spent

For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68

2x+5y=128 Then we get

3y=60 so

y=20

Now we can go back to the first equation and plug in y.

x+20=34

  -20  -20

x=14

So he bought 14 popsicles and 20 ice cream bars.

Answer:

（4x＋2）*2＋（6x）*2＝84feet

8x＋12x＋2＝84

20x＋2＝84

20x＝82

x＝4.1

18.4*24.6＝452.64

ans：452.64

Answer: sin 2a + cos a

Step-by-step explanation:

Divide by 1

sin 2a\1 + cos a

Answer:

Algebraic Expression.

DOLLARS             CENTS             DOLLARS                         CENTS

The percent of time the photographer spent negotiating with the bison greater than the time he spent taking pictures is 500%

Percentage of time negotiating greater than taking pictures = (difference in time) / time to take pictures × 100

= (30 - 5) / 5 × 100

= 25/5 × 100

= 5 × 100

= 500%

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Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{4 -7}{-2 +5}\implies \cfrac{-3}{3}\implies \text{\LARGE -1}\)

Answer: 24x² + 20x + 4

Step-by-step explanation:

       Area of a rectangle can be found with A = L * W;

               A = L * W

               A = (8x + 4) * (3x + 1)

       Now we can use the "FOIL" method, which is used to multiply binomials.

[F] First ➜ 8x * 3x = 24x²

[O] Outside ➜ 8x * 1 = 8x

[I] Inside ➜ 4 * 3x = 12x

[L] Last ➜ 4 * 1 = 4

       Lastly, we add it all together for our final answer.

24x² + 8x + 12x + 4 = 24x² + 20x + 4

Answer:

24x^2+20x+4

Step-by-step explanation:

Area is length times width.

The length is (8x+4) and the width is (3x+1).

If we follow the formula for the area of a rectangle, then it would be

(8x+4)(3x+1).

Next, you would foil.

Take the first and multiply it by the second equation as follows

8x*3x+8x*1 which would give you

24x^2+8x

Then, you would take the second from the first equation and multiply it with the second equation as well.

4*3x+4*1 which would give you

12x+4

Combine all of it together

24x^2+8x+12x+4

Combine like terms

24x^2+20x+4

That's the area.

Hope this helps.

Answer:

We can form an isosceles triangle by using the given measures.

Step-by-step explanation:

Hope this helps!! :)

The number of different ways to order 11 different pictures in a photo album is 39,916,800.

To calculate this number, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of items to choose from (in this case, 11 pictures) and r is the number of items to be selected (also 11, since we want to order all the pictures).

Plugging in the values, we get:

11! / (11 - 11)! = 11! / 0! = 11!

We can simplify 11! as:

11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Using a calculator or by hand, we can find that 11! equals 39,916,800.

Therefore, there are 39,916,800 different ways to order 11 different pictures in a photo album.

Hence, the number of ways to order 11 pictures in a photo album can be calculated using the permutation formula, which gives a total of 39,916,800 possible arrangements.

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There are 1358 students who do not live in the county.

If one-third of the students at the local community college live in the county, then two-thirds of them do not live in the county.

Let's find the number of students who do not live in the county.

If there are 2037 students enrolled, then the number of students who live in the county is 1/3 of 2037:

(1/3) x 2037 = 679

The number of students who do not live in the county is:

2037 - 679 = 1358

Therefore, there are 1358 students who do not live in the county.

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The right angle triangle is the name of the 3, 4, and 5 triangles.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

Properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=5 a=3, b=4 substitute in above formula:

5²=3²+4²

⇒25=9+16

⇒25=25

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Answer:

Mollusks

Step-by-step explanation:

This ain't math but you lucky I took marine biology.

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

On answering the provided question, we have got that 3.3 is the average  equation result after rolling the dice ten times.

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

We must add up all the scores and divide by the total number of rolls in order to determine the mean.

The total of every score is:

1 + 1 + 2 + 2 + 3 + 1 + 4 + 2 + 5 + 4 + 6 + 2 = 33

There are ten rolls in total.

The mean is as a result:

mean = total scores / total rolls = 33 / 10 = 3.3

3.3 is the average result after rolling the dice ten times.

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Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer: B

Step-by-step explanation: The answer is B

Answer:

B

Step-by-step explanation:

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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