Which option below demonstrates the correct interval notation for a
continuous set of all numbers between 5 and 6, including 5, but not including
6?
OA. (5,6]
OB. (5,6)
O C. [5, 6)
OD. (5, 6}

Answers

Answer 1

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

What is interval notation?

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

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Related Questions

i need the answer quickly

Answers

Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m 0.02 2.1m = –1.45 – 4.81m

Answers

Answer:

Pretty certain it's 100



CORRECT ANSWER GETS BRAINLIST

Philani bough a scooter for R15 000. He paid 15% of the amount in cash and sgned a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
How much did he pay in cash?

Calculate the total amount that he must still pay.​

Answers

If philani buys a scooter for 15,000 and wants to pay 15% down then he must pay 2,250. After this they will still need to pay 12,750 to pay of the scooter, but after the 10% annually (for two years) then they will owe 15,750 for the scooter rather than 12,750. Hope this helps!

On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.

Answers

Answer:

45

Step-by-step explanation:

Let μ - mean, σ - standard deviation.

Given:

A score of 30 falls three standard deviations below the mean:

μ - 3σ = 30

A score of 60 falls three standard deviations above the mean:

μ + 3σ = 60

Add up the two expressions and find the value of μ:

μ - 3σ + μ + 3σ = 30 + 602μ = 90μ = 45

The mean is 45

Drag the expressions to show the order of their quotients from least to greatest

Answers

Answer:

by solving the divisions

Step-by-step explanation:

8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.4019/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.2819/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.75

8/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.

now from the solutions you can get the least to greatest

1.40 , 2.96, 5.28 and 23.75

After getting answer in decimal form change it to fraction like how they set the question

This Stem-and-Leaf Plot shows the scores of 10 students on a recent math test.

Which statistic is most affected by the lowest score?

A. the mean
B. the median
C. the mode
D. the mean and the median

Answers

The statistic that is most affected by the lowest score is A. the mean

How to determine the most affected statistic?

The stem and leaf plot is missing from the question;

However, the question can be solved without it.

The lowest score on the stem and leaf plot is an outlier of the plot.

In statistics, outliers have huge effect on the mean of the dataset and they have little or no effect on the median and mode

This means that, the statistic that is most affected by the lowest score is A. the mean

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I need help please question is in the image

Answers

im pretty sure that it’s 700

1
Use f(x) = ½ x and ƒ˜¹(x) = 2x to solve the problems.
f(2)=
f¹1)=[
f(f(2)) =

Answers

Answer:

f(2) = 1

(1) = 2

(f(2)) = 2

Step-by-step explanation:

f(x) = x

(x) = 2x

f(2) = (2)

f(2) = 1

(1) = 2(1)

(1) = 2

(f(2)) = 2((2))

(f(2)) = 2(1)

(f(2)) = 2

The function's solution is given as follows:

f(1) = 2

f(f(2)) = f(1) = f(1) = 1/2

What is a function?

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.

The independent variable's value and the dependent variable's value both change in the function.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.

For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],

[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]

For the given function [tex]f^{-1}(x) = 2x[/tex],

[tex]f'(1) = 2(1) = 2[/tex]

Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]

The composition of functions to find f(f(2)):

[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]

Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].

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Find the exact length of side a.

Answers

The exact length of a which is equivalent to BC is 7units

Cosine rule

A triangle is a shape with 3 sides and angles. In order to determine the sides BC, we will use the cosine rule

c² = a² + b² - 2abcosC

Given the following parameters

b = 2

c = 5√3

theta = 30 degrees

Substitute

c² = 2² + (5√3)² - 2abcos30
c² = 4 + 75 - 2(2)(5√3)*√3/2

c² = 79 - 30
c² = 49
c = 7 units

Hence the exact length of a which is equivalent to BC is 7units

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Please answer its iready press the image below.
30 points btw

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

<3 i hope this helps! sorry if it doesnt :)

Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²

Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
SUBMIT

Answers

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is C.

What is a polynomial?

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example:

 x² + 3x + 5

As per the given tile diagram, the first polynomial is,

First polynomial = 5x² + 4x + 6

The second polynomial equal is,

Second polynomial = 2x² + 2x + 1

Now, the sum of the two polynomial can be written as,

Sum = 5x² + 4x + 6 + 2x² + 2x + 1

        = 7x² + 6x + 7

Hence, the correct option is C.

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A pilot scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster then she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

A. Y = 1/3x + 10
B. Y = 3x + 10
C. Y = 1/3x - 10
D. Y = 3x - 10

Answers

Answer: Choice A

y = (1/3)x+10

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

Explanation:

x = number of minutes of the original flight

Because the pilot travels 3 times faster than before, it means she travels 1/3 of the original time. If she took x minutes on the original flight, then she will take (1/3)x minutes for the new faster flight.

Then add on the 10 minute delay to end up with (1/3)x+10

help me on this question. If l || m, m7 = 2x and m2 = x, then what is the measure of angle 2?

Answers

Answer:

i dont know bc its not the complete expression

Step-by-step explanation:

The regular price of a tennis racquet is $79.99 and the sale price is $64.99. Find the percent of discount to the nearest whole percent.

Answers

Step-by-step explanation:

$79.99 - $64.99 = $15

(79.99 - 64.99)/|79.99| =15

15/79.99 =

15 ÷ 79.99 =

15 ÷ 79.99 × 100/100 =

(15 × 100 ÷ 79.99)/100 =

(1,500 ÷ 79.99)/100

≈18.752344043005/100 =

18.752344043005% ≈18.75%;

Are the equations 6x-6=3x and x-1=3x equivalent?​

Answers

Answer:

No, they aren't the same (equivalent).

Step-by-step explanation:

First, solve for both equations:

Equation #1:  6x-6=3x

Simplifying

6x + -6 = 3x

Reorder the terms:

-6 + 6x = 3x

Solving

-6 + 6x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-6 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x

-6 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0

-6 + 3x = 0

Add '6' to each side of the equation.

-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 3x = 0 + 6

3x = 0 + 6

Combine like terms: 0 + 6 = 6

3x = 6

Divide each side by '3'.

x = 2

Simplifying

x = 2

Equation #2: x-1=3x

Simplifying

x + -1 = 3x

Reorder the terms:

-1 + x = 3x

Solving

-1 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-1 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

-1 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

-1 + -2x = 0

Add '1' to each side of the equation.

-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x = 0 + 1

-2x = 0 + 1

Combine like terms: 0 + 1 = 1

-2x = 1

Divide each side by '-2'.

x = -0.5

Simplifying

x = -0.5

chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down

Answers

Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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need rn. worth 30.

A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.

Which sentences explain how randomization is not applied in this situation?

Answers

Considering the situation described, the confidence interval is given by:

(0.35, 0.51).

What is a confidence interval?

It is given by the estimate plus/minus the margin of error.

For this problem, we have that:

The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.

Then, the bounds of the interval are given by:

0.43 - 0.08 = 0.35.0.43 + 0.08 = 0.51.

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Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?

Answers

Answer:

Hi,

Step-by-step explanation:

Let say n the number of nickels

4*n the number of quaters.

Let's calculate in cents:

n*5+4*n*25=1260

5n+100n=1260

105*n=1260

n=12 (number of nickels)

4n=48 (number of quaters)

Proof: 12*5+48*25=1260

Answer is equation B

HELP ME PLEASE!!!









.................................................

Answers

Answer:

Step-by-step explanation:

Answer:11

Explanation: find the hypotenuse of the 1st triangle a^2 + b^2 = c^2 -> 9*9 + 5*5 = c^2
Which is 81+25 = c^2 -> 106 = c^2 now square root c = 10.3

Now you have the hypotenuse of the triangle on the left notice that the hypotenuse we just solved for is actually a leg for the triangle on the right. Now you can use the hypotenuse formula for x.

10.3^2 + 4^2 = x^2 -> 106.09 + 16 = x^2
Next, 122.09 = x^2 now we need to square root to isolate the square (2). x = 11.04 when rounded the closest radical is you answer x=11

Solve: -1/2 + c = 31/4

(1/2 and 31/4 are fractions)

Answers

[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]

In circle O, ST is a diameter.

Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.

What must be the value of x?

22.0
25.0
25.4
37.2

Answers

The value of x must be 25.0. The correct option is the second option-  25.0

Solving Linear equations

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

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Answer:

25.0

Step-by-step explanation:

just took it

\

Use inductive reasoning to find the 10th term in the sequence 5, 8, 11, 14, ...


34


32


50


17

Answers

Answer: 32

Step-by-step explanation: this is arithmetic sequence

general formula = a+(n-1)d

nth term = 5+(n-1)3

=5+3n-3

=2+3n

10th term = 2+3(10)

=32

please help... Identify the shape of a cross section of the cone below. ​

Answers

Answer:

The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.

Step-by-step explanation:

Select the correct answer. if a coin is flipped 10 times, what is the probability that it will show all heads or all tails? a. b. c. d. e.

Answers

Answer:

Step-by-step explanation:

1/2 chance for 1

1/4 for 2

1/8 for 3

1/16 for 4

1/32 for 5

1/64 for 6

1/128 for 7

1/256 for 8

1/512 for 9

1/1024 for 10

Find the measure of angle F if angle D = 88°

Answers

Answer:

52

Step-by-step explanation:

Two triangles are similar

m<B = m<E

m<C = m<D

m<A = m<F

now, the sum of interior angles in a triangle is equal to 180

angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:

40 + 88 + m<F = 180 add like terms

128 + m<F = 180 subtract 128 from both sides

m<F = 52

The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)

It is fraction negative 1 over 3 throughout the line.
It is −3 throughout the line.
The slope from point O to point A is one-third times the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.

Answers

Answer: A

Step-by-step explanation: took the test, got it right.

what is an equation for the circle with center 92,40 and radius 7

Answers

Answer:

17 i think im like 30 pecent sure

14 + w is the same as which expression?
A
14w

B
14 - w

C
w + 14

D
w - 14

Answers

Answer:

C

Step-by-step explanation:

14 + w is the same as w + 14

Answer:

C.  w + 14.

Step-by-step explanation:

The order does not matter when you are adding terms.

this is called the Commutative Property of Addition.

What is the ratio of the area of sector abc to the area of sector dbe? a. b. c. d. e.

Answers

The ratio of the area of sector abc to the area of sector dbe is 4/3

How to determine the ratio of the areas?

For sector abc, we have:

Angle = x

Radius  = 2r

For sector dbe, we have:

Angle = 3x

Radius = r

The area of a sector is:

[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]

So, we have:

[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]

Evaluate

[tex]ABC =\frac{x* \pi r^2}{90}[/tex]

For DBE, we have:

[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]

Evaluate

[tex]DBE =\frac{x}{120}* \pi r^2[/tex]

The ratio of both areas is:

[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]

Cancel out the common factors

[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]

Express as fraction

[tex]Ratio = \frac{120}{90}[/tex]

Divide

[tex]Ratio = \frac{4}{3}[/tex]

Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3

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4/3

its the answer edmentum

Write an equation in slope intercept form of the line that passes through the point (0,4) with slope 2

Answers

Answer:

y=2x+4

Step-by-step explanation:

Slope=m=2

From(0,4)

y intercept=b=4

Equation in slope intercept form

y=mx+by=2x+4
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