What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

for more search question  interval

https://brainly.com/question/20309162

#SPJ8

Answer:

Step-by-step explanation:

B looks like it would work.

You add speeds * time when you are travelling in opposite directions.

I don't know why you would add or subtract 1 as in A and C

120 * t = 540

t = 540/120

t = 4.5 hours.

So after 4.5 hours they are 540 miles apart.

Answer:

b

Step-by-step explanation:

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

To learn more about the significant digits;

https://brainly.com/question/28993414

#SPJ1

Answer:

169.65

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

Learn more about simple interest at: https://brainly.com/question/20690803

#SPJ1

Therefore , the solution of the given problem of speed comes out to be the two balls' subsequent contact speed is 90 m /s .

Looking at something from a distant allows us to calculate its speed. An object's speed determines how far it can travel in a certain period of time. Utilizing the equation velocity = distance/time, velocity is determined. Miles per hour (mph), kilometres per 60 minutes (km/h), and metres per second (m/s) are the three most common measures of speed (mph).

Here,

Utilizing the measure of restitution and momentum conservation, we can find a solution to this issue.

a) The overall momentum before and after the impact is conserved in an inelastic collision in which the two balls stick together. Consequently, we can write:

=> (m1 + m2) * vf = m1 * v1 + m2 * v2

where m1, v1 and m2, v2 are the masses and speeds of the 90-g and 10-g balls, respectively, and vf is the ultimate speed of the two balls following their collision. Inputting the numbers provided yields:

=> 100 g * vf = 90 g * 100 cm/s + 10 g * 0 cm/s

When we simplify and solve for vf, we obtain:

=> 100 g = 90 cm/s vf = (90 g X 100 cm/s)

Consequently, the two balls' subsequent contact speed is 90 m /s .

To know more about speed , visit

brainly.com/question/2004627

#SPJ1

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):

1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):

\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)

2. Simplify the coefficients:

\(\sf\:2x\sqrt{3x} \\\)

Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).

Answer:

4%

Step-by-step explanation:

(|600-625|)/625 x 100

=4%

Answer:

The percent error for this estimate was 4%.

Step-by-step explanation:

Teacher's estimated students = 600

Actual students = 625

625-600 = 25 students are more than the teacher's estimate.

In other words, the measurement error = 25 students

Now the percent error can be calculated by dividing 25 (measuring error) by the actual students.

Percent error = 25/625 = 0.04 which is 4%

Therefore, the percent error for this estimate was 4%.

Answer:

28

Step-by-step explanation:

50 - 22 = 28

Answer:

56% decrease or -56.00%

Step-by-step explanation:

1) Find the difference between 50 and 22 as a number.

2) Divide the result from Step 1 by the starting number 50.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

The three steps above can be made into a formula. Thus, to find the percent change from 50 to 22, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 50, and Y is the ending number 22 that it changed to When we enter these numbers into the formula, we get:

((22-50)/50)*100 = -56.00%

Answer: 5 is the smaller number and 21 is the larger number

Step-by-step explanation: let’s have the smaller of the numbers equal x and the larger one equal y. Y = 3x + 6 their sum is 3x + 6 + x or 4x + 6. This sum minus 4 is 22 so the sum is 26. 26-6 = 4x so 4x = 20 and x = 5 so r = 15+ 6 which is 21.

Answer:

metric po

Step-by-step explanation:

measurements and metric units of measure

Answer:

A.

Step-by-step explanation:

YJ, YB,YS, WJ, WB, WS, GJ, GB, GS, TD

Answer:

389 is the answer

Hope you like it!

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

For more questions on Value .

https://brainly.com/question/843074

#SPJ8

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Answer:

42° and 95°

Step-by-step explanation:

1

the inscribed angle EFD is half the measure of its intercepted arc , that is

∠ EFD = \(\frac{1}{2}\) × DE = \(\frac{1}{2}\) × 84° = 42°

2

ABCD is a cyclic quadrilateral.

the opposite angles sum to 180° , that is

∠ B + ∠ D = 180°

∠ B + 85° = 180° ( subtract 85° from both sides )

∠ B = 95°

Answer:

first you have to order the numbers

8, 10, 13, 18, 23, 25, 26, 30

Median is between 18 and 23 so we add them then divide the sum by 2

Median: (18 + 23)/2 = 20.5

First Quartile is between 10 and 13 so we add them then divide the sum by 2

First Quartile: (10 + 13)/2 = 11.5

Third Quartile is between 25 and 26 so we add them then divide the sum by 2

Third quartile: (25 + 26)/2 = 25.5

Range: 30 - 8 = 22

Sorry I don't know how to draw a diagram on brainly

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

Learn more about trigonometric functions here:

https://brainly.com/question/14746686

#SPJ1

Answer:

price for senior citizen is $11

price for child ticket is $8

The Solution:

The correct answer is 3 years.

The formula for calculating Simple Interest is

In this case,

To find the number of years Keith operated the Savings Account, we shall substitute these values in the above formula.

Dividing both sides by 100, we get

Thus, Keith operated the savings account for 3 years.

The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slope of the equation of a line is 4, then the equation of the line will be

y = 4x + c

The equation of the line is passing through (8, 5), then the value of c will be

5 = 4(8) + c

5 = 32 + c

c = 5 - 32

c = - 27

Then the equation of the line will be

y = 4x - 27

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

To prove that LMNO is a parallelogram, you need to show that both pairs of opposite sides are parallel.

In geometry, a parallelogram is a four-sided polygon in which opposite sides are parallel and congruent, and opposite angles are congruent. It is a special type of quadrilateral, which includes squares, rectangles, and rhombuses.

From the given information that LM || ON and LO || MN, you can use the converse of the Alternate Interior Angles Theorem to show that the corresponding angles are congruent.

Then, you can use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite sides are parallel.

The proof should involve statements and reasons, as well as a clear logical flow of steps.

To know more about Alternate Interior Angles Theorem visit:

https://brainly.com/question/25564520

#SPJ1

Answer:

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

Step-by-step explanation:

Given the equation

y = 5x

CHECKING TABLE A

x           y

5           1

10         2

15         3

substituting x = 5 in the equation

y = 5x

y = 5(5)

y = 25

Thus,

at x = 5, y = 25

Hence,

(5, 25) does not satisfy the table A.

substituting x = 10 in the equation

y = 5x

y = 5(10)

y = 50

Thus,

at x = 10, y = 50

Hence,

(10, 50) does not satisfy the table A.

substituting x = 15 in the equation

y = 5x

y = 5(15)

y = 75

Thus,

at x = 15, y = 75

Hence,

(15, 75) does not satisfy the table A.

Conclusion:

Table A does not represent the equation y = 5x

CHECKING TABLE B

x            y

1            5

2          10

3          15

substituting x = 1 in the equation

y = 5x

y = 5(1)

y = 5

Thus,

at x = 1, y = 5

Hence,

(1, 5) satisfies the table B.

substituting x = 2 in the equation

y = 5x

y = 5(2)

y = 10

Thus,

at x = 2, y = 10

Hence,

(2, 10) satisfies the table B.

substituting x = 3 in the equation

y = 5x

y = 5(3)

y = 15

Thus,

at x = 3, y = 15

Hence,

(3, 15) satisfies the table B.

Conclusion:

Table A represents the equation y = 5x

CHECKING GRAPH A

Given the equation

y = 5x

It is clear from graph A that

at x = 1, y = 5

at x = 2, y = 10

at x = 3, y = 15

Also

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

Aso the table indicates that at x = 0, y = 0

Thus, the graph represents the equation y = 5x.

CHECKING GRAPH B

y = 5x

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

But, the table B indicates that at x = 0, y = 5.

Thus, graph B does not represent the equation

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

Answer:

Table B and Graph A

Step-by-step explanation:

I took the quiz on  A P E X

To estimate, round the both numbers to the nearest whole numbers:

7.7 → 8

3.11 → 3

Then, subtract 3 from 8. We get:

8 – 3 = 5

We get the final result:

Hope this helps :)

Answer:

The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.

Step-by-step explanation:

Answer:

It appears the question would be, "what are multiples of 9"

Step-by-step explanation: