The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.
Complete the following sentences based on the graph of the function.

1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.

T satisfies the homogeneity property.

To prove that T is a linear transformation, we need to show that it satisfies two properties: additivity and homogeneity.

Additivity:

Let's consider two arbitrary vectors z₁ = [x₁, y₁] and z₂ = [x₂, y₂] in R².

T(z₁ + z₂) = T([x₁ + x₂, y₁ + y₂])

= [-2(x₁ + x₂) - 1, -2(x₁ + x₂) + 2(y₁ + y₂)]

= [-2x₁ - 2x₂ - 1, -2x₁ - 2x₂ + 2y₁ + 2y₂]

= (-2x₁ - 1, -2x₁ + 2y₁) + (-2x₂ - 1, -2x₂ + 2y₂)

= T(z₁) + T(z₂)

Therefore, T satisfies the additivity property.

Homogeneity:

Let's consider an arbitrary vector z = [x, y] in R² and a scalar k.

T(kz) = T([kx, ky])

= [-2(kx) - 1, -2(kx) + 2(ky)]

= (-2kx - 1, -2kx + 2ky)

= k(-2x - 1, -2x + 2y)

= kT(z)

Since T satisfies both additivity and homogeneity, we can conclude that T is a linear transformation.

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Answer:

Greater Than [The second choice]

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

144x6

Answer:

b

Step-by-step explanation:

Answer:

75/6 = 12.5

Step-by-step explanation:

Mean = The sum divided by the number of numbers.

Step-by-step explanation:

[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]

Answer:

C. 150

Step-by-step explanation:

It's right on Plato.

Answer:

sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer

Answer:

I think it is either C or D

Step-by-step explanation:

I'm so sorry id didn't find the answer, i tried

Answer:1 + 1

Step-by-step explanation:because 1+1 is 1+1

Answer:he can buy at least 7 pairs of socks

Step-by-step explanation:

SAS, I guess (side angle side)

Step-by-step explanation:

Since AM=BC then AM+MB=MB+BN.

Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent

Answer:

B. SAS (Side Angle Side)

Step-by-step explanation:

its right on E2020

Answer:

Zack has 8 stamps with pictures of animals

Step-by-step explanation:

Number of Stamps that Zack has = 10

Number of Zack's Stamps that have the pictures of animals = ⅘ of 10

= ⅘ × 10

= 40/5

= 8

Zack has 8 stamps with pictures of animals

Answer:

361.09

Step-by-step explanation:

Explanation:

Calculate the standard error of the mean, SE, using this formula, where  is the standard deviation and n is the sample size.

For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .

So the standard deviation is approximately 361.09.

The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.

As we know,

The standard error is given by:

SE = σ/√n

SE = 44.8

n = 65

44.8 = σ/√65

44.8√65 = σ

σ = 361.09

Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.

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Answer: you combine like terms to get 10x+9

Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.

Answer:

10x+9

Step-by-step explanation:

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

Answer:

2./10

Step-by-step explanation:

It's simply by finding the square root of its area which is √40 giving 6.325 for an answer

If simplified by dividing each side with 3 then the answer would be 2./10

Answer:2/3

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

18 divided by 24 equals .75 and that equals 75 as a percent.

Answer:1-5

Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.

Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.

Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

[tex]k =2[/tex]

[tex]DE = 6[/tex]

[tex]FD=10[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

[tex]k = \frac{FE}{AB}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

[tex]k = \frac{DE}{CB}[/tex]

[tex]2 = \frac{DE}{3}[/tex]

[tex]DE = 2 * 3\\[/tex]

[tex]DE = 6[/tex]

Solving (f): Length of FD

Using Pythagoras:

[tex]FD^2 = DE^2 + EF^2[/tex]

[tex]FD^2 = 6^2 + 8^2[/tex]

[tex]FD^2 = 100[/tex]

[tex]FD = \sqrt{100[/tex]

[tex]FD=10[/tex]

The equation of the circle graphed below is (x + 2)² + (y - 3)² = 16.

To determine the equation of the circle graphed below, we need to use the standard form equation of a circle.

The standard form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Given the graph, we can see that the center is located at (-2, 3), and the radius is 4 units. Therefore, we can substitute these values into the standard form equation as follows:(x - (-2))² + (y - 3)² = 4²(x + 2)² + (y - 3)² = 16

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Answer:

[tex](x +3)^2+(y-2)^2=4[/tex]

Step-by-step explanation:

The equation of a circle in standard form is:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

To determine the equation of the graphed circle, we need to find its center and radius.

The center of the circle is a single point that lies at an equal distance from all points on the circumference of the circle.

From inspection of the graphed circle, we can see that its domain is [-5, -1] and its range is [0, 4].  The x-coordinate of the center is the midpoint of the domain, and the y-coordinate of the center is the midpoint of the range.

[tex]x_{\sf center}=\dfrac{-5+(-1)}{2}=-3[/tex]

[tex]y_{\sf center}=\dfrac{0+4}{2}=2[/tex]

Therefore, the center of the circle is (-3, 2).

The radius of the circle is the distance from the center to all points on the circumference of the circle.  From observation, we can see that the radius of the circle is r = 2.

To determine the equation of the circle, substitute the center and radius into the standard formula.

[tex](x - (-3)^2+(y-2)^2=2^2[/tex]

[tex](x +3)^2+(y-2)^2=4[/tex]

Therefore, the equation of the graphed circle is:

[tex]\boxed{(x +3)^2+(y-2)^2=4}[/tex]

Answer:

Cannot be determined with the information given in and of itself.

Step-by-step explanation:

You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.

I would appreciate Brainliest, but no worries.

Answer:

0

Step-by-step explanation:

if you have 2 and you take one away you have 1,

you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.

Answer:

201 2.1

Step-by-step explanation:

adad yes

Answer: x=3, elimination method

Step-by-step explanation:

x=3

-7x-2y=-13    ->  -7x-2y=-13

-(x-2y=11)      ->   -x+2y=-11

                        -----------------

                          -8x=-24

                              x = 3

elimination method

because you can easily eliminate one variable (y) using the elimination method

Answer:

Step-by-step explanation:

hello :

the perimeter of the rectangle is P=2(w+l)

l : The length  and w the width    ..... continu   calculate

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.