$13 or more than $13? Explain.​

Answer:

the answer is None. There is no line of symmetry as the figure cannot fold and be equal on both sides

For a shape to have a line of symmetry, there must be a line that divides the shape into 2 halves that are the exact identical.

This shape doesn't have any line of symmetry (all the lines shown would be a line of symmetry if there is a transformation done to one of the halves)

Check the picture below.

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

To know more about point , visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

You didn't give us a picture to look at

Step-by-step explanation:

719ft

office area=12(20)=240ft

storage=(20-12)(40-(12+15)=8(13)=104ft

home theater=25(15)=375ft

total area= 240+104+375=719ft

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

The number of roots of the equation 1/x = x² + 1 is given as follows:

One.

The number of solutions of the system of equations is given by the number of times which the two functions intersect.

When the two functions intersect, we have that:

1/x = x² + 1

Hence:

1/x  - (x² + 1) = 0.

Which is the number of roots of the equation.

From the graph, the two functions intersect at one point, hence the number of roots is of one.

More can be learned about a system of equations at brainly.com/question/30374328

#SPJ1

Here's a sample program in C++ that satisfies your requirements:

```
#include
using namespace std;

int main() {
 int num;
 cout << "Enter an integer between 0 and 35: ";
 cin >> num;

 if (num <= 9) {
   cout << num << endl;
 } else if (num >= 10 && num <= 35) {
   char letter = static_cast('A' + num - 10);
   cout << letter << endl;
 } else {
   cout << "Invalid input." << endl;
 }

 return 0;
}
```

- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.

Visit here to learn more about  program : https://brainly.com/question/30613605
#SPJ11

Answer:

37.5

Step-by-step explanation:

1/8 of a circle is 12.5% so times that by 3 and you get 37.5.

In summary, a dilation with a scale factor not equal to 1 preserves the angles of the preimage while altering the side lengths in a proportional manner.

In a dilation with a scale factor not equal to 1, the angles and side lengths of the preimage and the image are related in the following ways:

Angles: The angles in the preimage and the image remain the same. They have the same measures, and their relative positions to each other are preserved. The dilation does not affect the angles; they are unchanged.

Side Lengths: The side lengths in the image are proportional to the corresponding side lengths in the preimage. The scale factor of the dilation determines the ratio between the side lengths. If the scale factor is greater than 1, the side lengths in the image will be longer than the corresponding side lengths in the preimage. If the scale factor is between 0 and 1, the side lengths in the image will be shorter than the corresponding side lengths in the preimage. The ratio of the side lengths remains the same throughout the dilation.

To know more about dilation,

https://brainly.com/question/29135043

#SPJ11

Answer:

A) 13, 10, 16

Step-by-step explanation:

The Triangle Inequality Theorem will help you solve this question. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The options that are given are:

Lets solve each one to figure out if they could be the lengths of a triangle.

A) 13, 10, 16.

We can write three inequalities to see if the lengths are true.

13 + 10 > 16

10 + 16 > 13

13+ 16 > 10

Solve each one.

23 > 16

26 > 13

29 > 10

According to the information above, the set of numbers from option A does  fit the Triangle Inequality Theorem. Therefore, they are possible lengths.

B) 1, 2, 3

Write three inequalities:

1 + 2 > 3

2 + 3 > 1

3+ 1 > 2

Solve each.

3 > 3

5 > 1

4 > 2

As you see, only two lengths fit the theorem, but the third side (3 > 3) does not. This set of lengths is not a possible set for a triangle.

C) 5.2, 11, 4.9

Write three inequalities:

5.2 + 11  > 4.9

4.9 + 11 > 5.2

5.2 + 4.9 > 11

Solve each.

16.2 > 4.9

15.9 > 5.2

10.1 > 11

As you see, only two sides lengths can repsent the lengths of a triangle but the third does not, so its not a possible set of lengths for a triangle.

D) 208, 9, 219

Write three inequalities:

208 + 9 > 219

219 + 9 > 208

208+ 219 > 9

Solve each.

217 > 219

228 > 208

427 > 9

Although two lengths fit the theorem, one length does not, so this a not a possible set of lengths.

In summary, only one set of lengths is possible for a triangle, with is A.

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

To know more about outlier refer here:

https://brainly.com/question/26958242#

#SPJ11

The level from each growth factors is an illustration of combination

There are 90 ways of combining one level from each growth factors

From the complete question (see attachment), we have the number of levels in each growth factor is:

So, the number of combination (n) is:

n = 3 * 5 * 2 * 3

n = 90

Hence, there are 90 ways of combining one level from each growth factors

Read more about combination at:

https://brainly.com/question/11732255

a. It makes sense to test the same cats in both treatments (Still and Fountain) rather than using two independent samples because this approach eliminates any potential individual differences among cats. By using the same cats, the study can better isolate the effect of the water source on water consumption, making the comparison more accurate and meaningful.

b. To determine if there is convincing evidence at a = 0.05 that cats tend to drink more water from fountains than from a bowl, follow these 7 steps:

1. State the null hypothesis (H0): There is no difference in water consumption between still and fountain sources (µ_still = µ_fountain).
2. State the alternative hypothesis (Ha): Cats drink more water from fountains than from a bowl (µ_still < µ_fountain).
3. Choose the significance level (α): 0.05.
4. Identify the appropriate test: Paired t-test (since each cat is tested under both conditions).
5. Calculate the test statistic using the provided data (you may use statistical software like JMP or Excel for this calculation).
6. Determine the p-value by comparing the test statistic to the t-distribution with degrees of freedom equal to the number of cats minus 1 (n-1).
7. Make a decision: If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis, concluding that there is convincing evidence that cats drink more water from fountains than from a bowl. If the p-value is greater than α, fail to reject the null hypothesis.

c. The characteristic feature of a pilot study present in this dataset is its small sample size, with only nine cats participating. Pilot studies are often conducted as a preliminary test to evaluate the feasibility of a research design and gather preliminary data before conducting a full-scale study. These results can be used to improve future research by identifying any potential issues in the experimental design, determining appropriate sample sizes for a larger study, or providing initial data to support funding applications for more extensive research.

Learn more about hypothesis:

https://brainly.com/question/29519577

#SPJ11

Answer:

5

Step-by-step explanation: If M is 4, 4 + 5 = 9

Answer:

0.25+0.6= 0.9166666667 or 11/12

Step-by-step explanation:

hope this helps

Answer:

-9/7

Step-by-step explanation: it’s parallel so it must have the same slope as line C.

Answer:

Step-by-step explanation:

the Laplace transform of the function f(x) = e^(ax) is 1/(a-s).

The definition of the Laplace transform of a function f(t) is given by:

L{f(t)} = F(s) = ∫_0^∞ e^(-st) f(t) dt

where s is a complex number.

If f(x) = 0, then we have:

L{f(x)} = L{0} = ∫_0^∞ e^(-st) 0 dt = 0

Therefore, the Laplace transform of the zero function is zero.

If f(x) = 1, then we have:

L{f(x)} = L{1} = ∫_0^∞ e^(-st) dt

Using integration by parts, we get:

L{1} = ∫_0^∞ e^(-st) dt = [-e^(-st)/s]_0^∞ = [0 - (-1/s)] = 1/s

Therefore, the Laplace transform of the constant function 1 is 1/s.

If f(x) = x, then we have:

L{f(x)} = L{x} = ∫_0^∞ e^(-st) x dt

Using integration by parts again, we get:

L{x} = ∫_0^∞ e^(-st) x dt = [(-e^(-st) x)/s]_0^∞ + (1/s) ∫_0^∞ e^(-st) dt

Since e^(-st) x approaches zero as t approaches infinity, the first term evaluates to zero. We can then simplify the second term using the result from part 2:

L{x} = (1/s) ∫_0^∞ e^(-st) dt = 1/s * (1/s) = 1/s^2

Therefore, the Laplace transform of the function f(x) = x is 1/s^2.

If f(x) = e^(ax), then we have:

L{f(x)} = L{e^(ax)} = ∫_0^∞ e^(-st) e^(ax) dt

Simplifying the integrand, we get:

L{e^(ax)} = ∫_0^∞ e^((a-s)t) dt

We can evaluate this integral using the formula:

∫_0^∞ e^(-bx) dx = 1/b

Setting b = a - s, we get:

L{e^(ax)} = ∫_0^∞ e^((a-s)t) dt = 1/(a-s)

Therefore, the Laplace transform of the function f(x) = e^(ax) is 1/(a-s).

To know more about Laplace transform refer here:

https://brainly.com/question/31481915#

#SPJ11

Answer:

The same as the person above me

Step-by-step explanation:

1.

- 2,3

2.

-X=2

Y=3

Answer:

10m + 16

-5y + 15

Step-by-step explanation:

-3m + 16 - (-13m) =

= -3m + 16 + 13m

= 10m + 16

15y - 20y + 15 =

= -5y + 15

Rays AB and BE are part of line BE.

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

To find the rays which are part of line BE.

Here,, By figure, we have;

Rays AB and BE are part of line BE.

Thus, Rays AB and BE are part of line BE.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ5

The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

Learn more about Pythagorean theorem here: brainly.com/question/14930619

#SPJ4

Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

60%

Step-by-step explanation:

48 + 12 = 60

There is a 60% chance you randomly choose a medium out of 100 customers.

The dependent variable in an experiment is the factor whose value is being measured or observed.

In an experiment, the dependent variable is the factor that is being observed or measured. It is the variable that responds to changes in the independent variable, which is the factor being manipulated or changed in the experiment. The dependent variable is often represented on the y-axis of a graph and is used to analyze and interpret the results of the experiment. For example, in an experiment testing the effect of fertilizer on plant growth, the dependent variable would be the plant growth, as it is being measured in response to the fertilizer treatment. The dependent variable is crucial in experimental design as it helps researchers determine the relationship between the independent variable and the observed outcome.

Learn more about dependent variable here: brainly.com/question/1479694

#SPJ4

Answer:

X²=5²+12²

X²=25+144

X²=169

X²=13²

X=13

Answer:

x = 13

Step-by-step explanation:

The first step to finding x is to apply the numbers to the Pythagorean Theorem.

The formula for the Pythagorean Theorem is a^2 + b^2 = c^2.

1. Now we have to put the known values in place of the letters.

a = 12

b = 5

c = x

2. Since the formula is squaring a, b, and c, we have to square the numbers too.

a = 12^2

b = 5^2

c = x^2

12^2, or 12 squared, is 144.

5^2, or 5 squared, is 25.

3. Next we have to add those two numbers.

144 + 25 = 169

4. Lastly, we have to square root 169

√169 = 13

Therefore, your answer is 13.

Hope this Helps!

Answer:   4.3 miles

The decimal 4.3 is equivalent to the mixed number 4 & 3/10

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

Explanation:

Fractions are often a pain, so I find it helpful to convert to decimal form whenever possible.

1/2 = 0.5

21 & 1/2 = 21 + 1/2 = 21 + 0.5 = 21.5

21 & 1/2 miles = 21.5 miles

The object travels 21.5 miles in 5 hours. Divide the distance over the time value to get the speed (or rate). This is exactly identical to finding the number of miles traveled in one hour (since each hour the object travels the same amount of distance)

speed = distance/time = 21.5/5 = 4.3 mph

4.3 = 4 + 0.3 = 4 + 3/10 = 4 & 3/10

In my opinion, it is much easier to use decimals. Saying "the object traveled a distance of 4 & 3/10 miles" seems very clunky to me.

Therefore, each hour, the object travels 4.3 miles.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.