The turtle's distance from his starting point is increasing
between
seconds.
The turtle's distance from his starting point is constant
between
seconds.
The turtle's distance from his starting point is
decreasing between
seconds.

Answer:

fkrmvgbhd

Step-by-step explanation:

Answer:

its BBBBBBBBBBBBBB

Step-by-step explanation:

plz give brainliest

Answer:

\(x = 3\pm 5i\)

Step-by-step explanation:

Quadratic formula

\(x = \frac{6 \pm \sqrt{36-4(1)(34)}}{2(1)}\)

There are no real solutions since the discriminant is negative.

Simplify this to get x = 3+5i, 3 -5i

An example of an optimistic explanatory style would be viewing a bad grade on a test as something that doesn't often happen, will probably not affect your final grade, and is probably because you did not get enough sleep the night before the test.

An optimistic explanatory style involves interpreting negative events or outcomes in a positive and constructive manner. It involves attributing the causes of negative events to external, temporary, or specific factors rather than internal, permanent, or global factors.

In the given example, option (a) demonstrates an optimistic explanatory style. It suggests that the bad grade on the test is not a common occurrence ("something that doesn't often happen"), indicating that it is viewed as an isolated incident. Furthermore, it minimizes the impact of the bad grade by stating that it will probably not affect the final grade. Instead of attributing the cause to personal incompetence or intelligence.

Learn more about factors here:

https://brainly.com/question/14549998

#SPJ11

Answer:

Yes

Step-by-step explanation:

AC and DF never intersect and have the same distance between them which means they are parallel

Using concept of linear pair of angles and corresponding angles we can prove AC║DF.

We need to check whether AC and DF parallel.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

10) 57°+x=180° (Linear pair of angles)

⇒ x = 123°

⇒ x = y = 123° (Corresponding angles are congruent)

So, AC║DF

11) 37°+a=180° (Linear pair of angles)

⇒ a = 143°

⇒ a = b = 123° (Corresponding angles are congruent)

So, AC║DF

12) p = q = 62° (Vertically opposite angles are equal)

So, AC║DF

13) z = 65° (Alternate interior angles are equal)

Now, 65° + 115°=180°  (Linear pair of angles)

So, AC║DF

Therefore, using concept of linear pair of angles and corresponding angles we can prove AC║DF.

To learn more about the parallel lines visit:

https://brainly.com/question/19714372.

#SPJ5

Answer:

2/x

Step-by-step explanation:

The easy way:

take point (2,1) on graph g

subst the values into g(x)=a/x

1=a/2

a=2

thus -> 2/x

The value of a is 2 for the transformed function g(x) = a/x.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of a is calculated as,

Take point (2,1) on graph g and substitute the values into g(x)=a/x

1=a/2

a=2

Therefore, the value of a is 2 for the transformed function g(x) = a/x.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

Answer:

5q = 4p + 2

Step-by-step explanation:

4p = 5q - 2

4p + 2 = 5q - 2 + 2

5q = 4p + 2

Answer:

11.5

you calculate the percentage change which is change/original x 100%

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

3 x 6 = 18, so thats how you get the 18 in the answer

3 x 2x = 6x, which is how you get the 6x

and theres  a subraction sign so we know to put a - there.

Answer:

6x - 18

Step-by-step explanation:

3(2x - 6) =

("... - 6" means that whatever we do with the 6, we have to remember that it's negative)

3(2x - 6) =

3 * 2x + 3 * (-6) =

6x + (-18) =

(if we add a negative number then it's the same as subtracting that number)

6x + (-18) = 6x - 18

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

Hope i didn't make it to complicated to understand, glad to help :D

P.S. Dont be afraid to ask me a question if you didn't uderstand.

The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:

Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.

Move the constant term to the other side of the equation. Add 1 to both sides:

\(2x^2 + 6x = 1\)

Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.

Add the result from step 3 to both sides of the equation:

\(2x^2 + 6x + 9 = 1 + 9\)

Simplifying, we get:

\(2x^2 + 6x + 9 = 10\)

Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)

\((x + 3)^2 = 10\)

Take the square root of both sides:

\(√[(x + 3)^2] = ±√10\)

Simplifying:

\(x + 3 = ±√10\)

Solve for x by subtracting 3 from both sides:

x = -3 ± √10

So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

To learn more about test score refer below:

https://brainly.com/question/11387559

#SPJ11

Answer:

I'm guessing 0.9

Step-by-step explanation:

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

To know more about determine visit:

https://brainly.com/question/29898039

#SPJ11

Answer:

Step-by-step explanation:

The values ​​of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.

Answer:

x= 29

Step-by-step explanation:

Since, ∆ABC is congruent to ∆DEF,

AB= DE....(i)

BC= EF....(ii)

AC= DF....(iii)

From (ii), BC= EF,

So, 3x-7 = 20

3x= 20+7= 27

x= 27/3 = 9

Hope it helps you

From the congruent triangles value of x is 9 units.

Given that, ∆ABC≅∆DEF, and AB=15, BC=20, and FE=3x-7.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Since, ∆ABC is congruent to ∆DEF,

AB= DE --------(I)

BC= EF --------(II)

AC= DF --------(III)

From (II), BC= EF,

So, 3x-7 = 20

3x= 20+7= 27

x= 27/3 = 9 units

Therefore, from the congruent triangles value of x is 9 units.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ2

The slope would be 4.

The Y-intercept is 2.

The probability that the first student is a boy and the second student is a girl is 7/26.

To answer your question, we'll need to calculate the probabilities for each event and then multiply them together.

Probability of selecting a boy first:
There are 7 boys and 13 students total (7 boys + 6 girls), so the probability is 7/13.

Probability of selecting a girl second:
After selecting a boy, there are now 12 students remaining (6 boys + 6 girls). The probability of selecting a girl is 6/12 (which simplifies to 1/2).

Now, multiply the probabilities together: (7/13) × (1/2) = 7/26

So, the probability that the first student is a boy and the second student is a girl is 7/26.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

1. The equation of the line with a slope of 4 and a y-intercept of -2 can be written as y = 4x - 2.

2. The slope is 0 and the y-intercept is 10, the equation of the line is y = 0x + 10, which simplifies to y = 10.

3. For a slope of -3 and a y-intercept of 6, the equation of the line is y = -3x + 6.

4. With a slope of 5 and a y-intercept of 0, the equation of the line is y = 5x + 0, which simplifies to y = 5x.

5.The slope is 2/3 and the y-intercept is 9, the equation of the line is y = (2/3)x + 9

The equation of a line given a slope of 4 and a y-intercept of -2, we use the slope-intercept form, which is y = mx + b.

Here, the slope (m) is 4, and the y-intercept (b) is -2.

Substituting these values into the equation, we get y = 4x - 2.

The slope is 0 and the y-intercept is 10, the equation of the line becomes y = 0x + 10.

Since any value multiplied by 0 is 0, the x term disappears, leaving us with y = 10.

Thus, the equation of the line is y = 10.

For a slope of -3 and a y-intercept of 6, the equation of the line can be written as y = -3x + 6.

The negative slope indicates that the line decreases as x increases and the y-intercept is the point where the line crosses the y-axis.

The slope is 5 and the y-intercept is 0, the equation of the line is y = 5x + 0 simplifies to y = 5x.

The line has a positive slope of 5 and passes through the origin (0, 0).

With a slope of 2/3 and a y-intercept of 9, the equation of the line is y = (2/3)x + 9.

The slope indicates that for every increase of 3 units in x, the line increases by 2 units in the y-direction.

The y-intercept represents the starting point of the line on the y-axis.

The equations of the lines with the given slopes and y-intercepts are:

y = 4x - 2

y = 10

y = -3x + 6

y = 5x

y = (2/3)x + 9.

For similar questions on y-intercept

https://brainly.com/question/30286418

#SPJ11

Answer:

52.060 first one 2nd 9.2 i belive

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rate of change in elevation of the second scuba diver in feet per minute would be -15 5/8 / 114 = -0.137 feet per minute.

The dimension of the row space of A is 1, the dimension of the column space of A is 3, and the dimension of the null space of A is 5.

Since A has an echelon form with two zero rows, it means that there are only two nonzero rows in A. Therefore, the row space of A is spanned by a single nonzero row, which implies a dimension of 1.

On the other hand, A has three columns, and since the echelon form of A implies that there are no pivot columns beyond the first two, the column space of A is spanned by the first two columns. Thus, the dimension of the column space is 2.

Finally, since A has 5 columns with no pivot, the dimension of the null space of A is 5, by the dimension formula (i.e., the nullity of A plus the rank of A equals the number of columns in A).

For more questions like Dimensions visit the link below:

https://brainly.com/question/30883306

#SPJ11

To interpret this line plot with fraction addition and subtraction, we need to understand how to read the plot and how to perform the necessary calculations with fractions.

Looking at the line plot above, we can see that each horizontal line represents one pound, and each vertical line represents one baby's weight. The numbers on the vertical axis show the weights of the babies in pounds. For example, there are two babies that weigh 6 pounds, three babies that weigh 7 pounds, two babies that weigh 8 pounds, and so on. To find the difference in weight between the two heaviest babies, we need to first determine which babies are the heaviest. From the line plot, we can see that the two heaviest babies are the ones at the top of the plot, which both weigh 9 pounds. Converting the weight of the heaviest baby to a fraction with a denominator of 72 gives us 9/1 x 72/72 = 648/72. Converting the weight of the second heaviest baby to a fraction with a denominator of 72 gives us 8/1 x 72/72 = 576/72. Now that both weights are expressed as fractions with a common denominator, we can subtract them to find the difference: 648/72 - 576/72 = 72/72 = 1

Therefore, the difference in weight between the two heaviest babies is 1 pound, or 1/72 of a hundredweight (since there are 100 pounds in a hundredweight). The answer we were asked to provide is a proper fraction, so we can express this as 1/72. In summary, to interpret a line plot with fraction addition and subtraction, we need to understand how to read the plot to determine the weights of the babies, how to perform the necessary calculations with fractions, and how to express our answer as a proper fraction if required.

To know more about subtraction visit:-

https://brainly.com/question/1927340

#SPJ11

Answer:

\((b^4)^2 = b^{8}\)

Step-by-step explanation:

Given

\((b^4)^2\)

Required

Simplify

In indices, we have:

\((a^m)^n = a^{m*n\)

So:

\((b^4)^2 = b^{4*2}\)

\((b^4)^2 = b^{8}\)

Therefore, the correct equation for the transformed graph is y = 6(x + 5)³, which matches option d).

The given function is y = x³. To transform it according to the given conditions:

- Horizontal compression by a factor of 3: This is achieved by replacing x with (1/3)x, which corresponds to a horizontal shrinkage.

- Vertical stretching by a factor of 3: This is achieved by multiplying the entire function by 3, which corresponds to a vertical expansion.

- Translation 5 units to the left: This is achieved by replacing x with (x + 5), which corresponds to a shift to the left.

Applying these transformations to the original function y = x³, we get:

y = 3[(1/3)x + 5]³

Simplifying further:

y = 3(x + 5)³

Expanding the cube:

y = 3(x + 5)(x + 5)(x + 5)

Simplifying again:

y = 3(x + 5)³

Therefore, the correct equation for the transformed graph is y = 6(x + 5)³, which matches option d).

Learn more about transformed graph here:

https://brainly.com/question/19040905

#SPJ11

Answer:

its b

Step-by-step explanation:

nahazbzbzhzhzhzhshhs

====================================================

Explanation:

We keep multiplying each rate of change by 3

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

Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.

The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)

Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.

Plug in n = 9 and we get 2(3)^(9-1) = 13,122

The total mass of the wire is \(M = 9\rho * (\pi/2).\)

Using the formula for finding the centroid of a two-dimensional object with uniform density:

cy = (1/Area) * ∫(y*dA)

The equation of the circle is \(x^2 + y^2 = 25\). Solving for y, we get:

\(y = \sqrt(25 - x^2)\)

Since the wire is in the first quadrant, the limits of integration are 0 ≤ x ≤ 5 and 0 ≤ y ≤ \(\sqrt(25 - x^2).\)

To find the area of the wire, we integrate:

\(Area = \int \int dA = \int 0^5 \int 0^{\sqrt(25-x^2)}dy dx\)

\(= \int 0^{5 (sqrt(25-x^2))}dx\)

\(= (1/2) * [25sin^{(-1)(x/5)} + x\sqrt(25-x^2)] from 0 to 5\)

\(= (1/2) * [25\pi/2] = 25\pi/4\)

To find the centroid (cy), we integrate:

\(cy = (1/Area) * \int(ydA) = (1/(25\pi/4)) * \int0^5 \int0^{\sqrt(25-x^2)} y dy dx\)

\(= (4/25*\pi) * \int0^5 [(1/2)*y^2]_0^{\sqrt(25-x^2)} dx\)

\(= (4/25\pi) * \int 0^5 [(1/2)(25-x^2)] dx\)

\(= (4/25\pi) * [(25x - (1/3)*x^3)/2]_0^5\)

\(= (4/25\pi) * [(255 - (1/3)*5^3)/2]\)

\(= 50/3\)

Therefore, the centroid of the wire is cy = 50/3.

Now use the formula for the mass of a thin wire for total mass:

M = ∫ρ ds

Since the wire has uniform density, the linear density is constant and can be factored out of the integral:

M = ρ * ∫ds

The differential element of arc length is:

\(ds = \sqrt(dx^2 + dy^2) = \sqrt((-9sin t)^2 + (9cos t)^2) dt\)

\(= 9\sqrt(sin^2 t + cos^2 t) dt = 9 dt\)

Integrating from 0 to pi/2, we get:

\(M = \rho * \int ds = \rho * \int 0^{(\pi/2)} 9 dt\)

\(= 9\rho * [t]_0^{(\pi/2)} = 9\rho * (\pi/2)\)

Therefore, the total mass of the wire is \(M = 9\rho * (\pi/2).\)

Learn more about centroid and mass of a wire

brainly.com/question/30887628

#SPJ11

Answer:

Answer:

lol

Step-by-step explanation:

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

Read more on right prism here: https://brainly.com/question/31245490

#SPJ1

Answer:

ASA

Step-by-step explanation:

the angles of the vertex are vertical angles, so they are congruent.

We have a congruent side between two congruent angles