Write the interval notation represented by each description below:
1.
The set of all numbers less than negative ten.
2.
The set of all positive real numbers.
3.
The set of all numbers less than 4.242 and greater than 12.566.
4.
The set of all numbers that are greater than 15 and less than 50.
5.
The set of all numbers that are at most 5.
6.
The set of all numbers that are at least 18.

Thank you so much for your help!

Answers

Answer 1

Answer:

1. (-∞ , -10]

2. [0, ∞ )

3. [12.566, 4.242]

4. [15, 50]

5. (-∞ , 5]

6. [18, ∞)

Step-by-step explanation:

Answer 2

Answer:

1. The set of all numbers less than negative ten.

(- ∞, -10)

2. The set of all positive real numbers.

(0, +∞)

3. The set of all numbers less than 4.242 and greater than 12.566.

(-∞, 4.242 )∪ (12.566, +∞)

4. The set of all numbers that are greater than 15 and less than 50.

(15, 50)

5. The set of all numbers that are at most 5.

(-∞, 5]

6. The set of all numbers that are at least 18.

[18, +∞)

Related Questions

Sam is saving digital copies of his movies on his computer. Right now, 270 movies take up 486,270 kilobytes. If each movie takes up the same amount of kilobytes, how many kilobytes does each movie take up?
A.
3,602
B.
1,531
C.
2,071
D.
1,801

Answers

The answer is D. 486,270 divided by 120 is 1801. That’s how you get the answer

Multiply v (5,-4) by u (-8,7)=

Answers

multiply x with x:

5×-8= -40

multiply y with y:

-4×7=-28

Answer:

(-40,-28)

Which of the following values are solutions to the inequality 3x+10\ge 2?3x+10≥2?
\text{I.}\hspace{2px}-1\hspace{20px}\text{II.}\hspace{2px}3\hspace{20px}\text{III.}\hspace{2px}-11
I.−1II.3III.−11

\text{None}None
\text{I only}I only
\text{II only}II only
\text{III only}III only
\text{I and II}I and II
\text{I and III}I and III
\text{II and III}II and III
\text{I, II and III}I, II and III

Answers

9514 1404 393

Answer:

  I and II

Step-by-step explanation:

The inequality ...

  3x +10 ≥ 2

has solutions ...

  3x ≥ -8 . . . . . . . . subtract10

  x ≥ -2 2/3 . . . . . divide by 3

Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...

  -1, 3 . . . . . . I and II only

What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

(50 points) please i beg xoxoxo

Answers

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

The graph of a square root function has a domain of (0, ∞) and range of [1,∞). In two or more complete sentences, explain how the given range of the function can help you to the maximum or minimum y-value of the function.

Answers

Answer:

As per given domain and range we can conclude that:

The function has positive domain only, since x = (0, ∞).The function has minimum value of 1 and no maximum value, since y = [1, ∞)

Here

[tex]\\ \sf\longmapsto Domain=(0,\infty)[/tex]

[tex]\\ \sf\longmapsto Range=(1,\infty)[/tex]

The function has positive integral values as it lies in 1st Quadrant

[tex]\\ \sf\longmapsto (x,y)=(1,\infty)[/tex]

It has minimum value 1It has infinite or no maximum values

help please someone ​

Answers

Answer:

(fog)(x) =x –14

(gof)(x) =x

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]

[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]

I need a answer ASAP what is 1/7 equal to?

Answers

Answer:

1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 = 7/49 = 8/56 = 9/63 = 7/10

Step-by-step explanation:

Jennifer had a headache and was told she was given a name brand medicine but it was really a sugar pill. Three hours later she was asked if she feels better, and she agreed she did.
What does the placebo effect mean in this specific situation?
a.) The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).
b.) Jennifer received the benefit from the treatment since she also took a nap.
c.) The benefit is the fact that Jennifer received the treatment (pill, although only a sugar pill) and it contains another active ingredient.
d.) The benefit is that Jennifer was given the control (pill, although only a sugar pill) and not the active ingredient (cough medicine).

Answers

Answer: A

Step-by-step explanation:

There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.

The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).

Jennifer will think that she is taking medicine and will get satisfy after having it.

What is placebo effect?The placebo effect is when a person's physical or mental health appears to improve after taking a placebo or dummy treatment.The effects of the active drug or other intervention are compared to the effects of the placebo.Even though a placebo has no active ingredients to cause a positive effect, it can still make a patient feel better.

To know more about placebo effect here

https://brainly.com/question/5069588

#SPJ3

distinguish between the constant difference and constant ratio :use examples for each co concept​

Answers

Constant difference ..refers to the idea that the difference between two numbers does not change after adding or subtracting the same quantity to both numbers..

connstant rario .means that youe ratio is the same all points

Step-by-step explanation:

When you have points with a constant ratio, it means that your y:x or x:y ratio is the same for all points. .

Constant difference could have been thought of as 52-19 = 53-20 or as 52-19 = 50-17, a similar problem that maintains the same difference between the larger and smaller values.

In ΔPQR, sin P = 0.2, sin R = 0.2 and r = 12. Find the length of p.

Answers

9514 1404 393

Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12

Calculus please help

Answers

Answer:

The balloon is rising at a rate of 50π/3 feet per minute.

Step-by-step explanation:

A weather balloon is rising vertically while being observed from a point who is exactly 300 feet away from the spot directly beneath the ground.

This is represented in the diagram below.

We want to find the rate at which the balloon is rising (i.e. find dh/dt) when the angle between the ground and the observer is π/6 (i.e. when θ = π/6), and is increasing at a rate of π/24 radians per minute (i.e. when dθ/dt = π/24).

Write a ratio relating the variables:

[tex]\displaystyle \tan \theta = \frac{h}{300}[/tex]

Take the derivative of both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\left[ \tan\theta\right] = \frac{d}{dt}\left[ \frac{h}{300}\right][/tex]

Implicitly Differentiate:

[tex]\displaystyle \sec^2\theta \cdot \frac{d\theta}{dt} = \frac{1}{300} \frac{dh}{dt}[/tex]

Substitute in known values:

[tex]\displaystyle \sec^2 \left(\frac{\pi}{6}\right) \left(\frac{\pi}{24}\right) = \frac{1}{300} \frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]\displaystyle \begin{aligned} \frac{dh}{dt} &= 300\left(\sec^2\left(\frac{\pi}{6}\right)\left(\frac{\pi}{24}\right)\right) \\ \\ &= 300\left(\frac{4}{3}\right)\left(\frac{\pi}{24}\right) \\ \\ &= \frac{50\pi}{3} \text{ feet per minute}\end{aligned}[/tex]

In conclusion, the balloon is rising at a rate of 50π/3 feet per minute.

Determine whether each is rational or not rational.

Answers

pi is not a rational number.

decimals is also not a rational number.

whole number is rational number.

linear equation 5+3x=17​

Answers

Answer:

x=4

Step-by-step explanation:

5+3x=17

-5        -5

3x=12

3       3

x=4

Answer:

x = 4

Step-by-step explanation:

[tex]5+3x=17\\\\3x=12\\\\x=4[/tex]

Select the following statement that describes overlapping events.
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond
B. Amanda rolls a three when she needed to roll an even number
C. Amanda understands that she cannot get a black diamond when playing poker
D. Amanda wants a black card so she can have a winning hand, and she receive the two of hearts

Answers

Answer:

Step-by-step explanation:

Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.

The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

What are overlapping events in probability?

Events that share one or more outcomes are said to be overlapping events.

How to solve the question?

In the question, we are asked for the statements from the given options that describe overlapping events.

To check for overlapping events, we analyze each option as follows:-

A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.

Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

Learn more about overlapping events at

https://brainly.com/question/17253921


#SPJ2

What is the solution to this system of equations

Answers

We can’t see the system of equation

Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

Slope intercept form is made up of these components:

y = outputm = slopex = inputb = y-intercept

    The question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.

58 round of to the nearest 10​

Answers

Answer:

58 to the nearest ten is = 60

Answer:

Here is your answer ⤵️

58 rounded to the nearest tens is 60.

A scientist removed a sample of 39.1 grams of a chemical from a container. The sample was 5 3/4 grams less than 3/10 of the total mass of the chemical in the container. What was the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams. show work please.

Answers

The first thing we must do for this case is to define variables:

x: the total mass of the chemical in the container

y: a sample of a chemical from a container

We have the following equation:

y = (3/10) x - 5 3/4

Then, for y = 39.1 we have:

39.1 = (3/10) x - 5 3/4

Clearing x:

(3/10) x = 39.1 + 5 3/4

(3/10) x = 44.85

x = (10/3) * (44.85)

x = 149.5 grams

Answer:

the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:

x = 149.5 grams.

What is the range of (-1,7)(6,2)(0,4)(5,2)(-3,1)

Answers

Answer:

range =(7,2,4,2,1)

if my answer helps you than mark me as brainliest.

Pls help A card is drawn from a standard deck of 52 cards. What is the probability of drawing a face card (jack, king, or queen) or a black card?

Answers

Answer:

probability is 32/52 or about 0.615

Step-by-step explanation:

There are 12 face cards

of the remaining 52 - 12 = 40 cards, half of them are black

so 12 + 40/2 = 32 cards would be considered successful

find the distance between the two points rounding to the nearest tenth (if necessary) (6, 5) and (-3, -7)​

Answers

Answer:

15 units

Step-by-step explanation:

that is the answer yep

Answer:

9.2

Step-by-step explanation:

it said it

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.

Answers

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

hiiiiiiiiiiiiiiiiiiii my frndz give me the answer3x/4-2y/3=5
2x/5+3y/5=17

Answers

Answer:

[tex]thank \: you[/tex]

The graph of the invertible function h is shown on the grid below.

What is the value of h^-1 (-1)?

Answers

Answer:

1

Step-by-step explanation:

[tex]h {}^{ - 1} ( - 1)[/tex]

means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.

Applying the inverse function concept, it is found that [tex]h^{-1}(-1) = 1[/tex]

The inverse function [tex]f^{-1}(x) = a[/tex] means that [tex]f(a) = x[/tex].

In this problem, it is asked [tex]h^{-1}(-1)[/tex].

From the graph, it is taken that at the original function, when [tex]x = 1, y = -1[/tex], hence [tex]h(1) = -1[/tex].Then, applying the inverse function, we have that [tex]h^{-1}(-1) = 1[/tex], and thus 1 is the value of the inverse function.

A similar problem, also involving inverse functions, is given at https://brainly.com/question/23950969

Calculate area and round to nearest tenth.

Answers

I’m not sure what to say about the situation or if it is not a problem to get a new phone

Can someone please explain

Answers

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

Answer:

r = 5

Step-by-step explanation:

Sine trigonometric ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

The sides of a triangle are opposite their angles.  Therefore, in ΔPQR:

⇒ side r is opposite angle R

⇒ side p is opposite angle P

⇒ side q is opposite angle Q

Using the given ratio of sin Q:

[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]

Substitute the given value of q = 6 and solve for H:

[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]

[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]

[tex]\sf \implies H=15[/tex]

Using the given ratio of sin R:

[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]

Substitute the found value of H and solve for r:

[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]

[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]

[tex]\implies \sf r=5[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/26861422

https://brainly.com/question/27938163

calculate the highest common fac for it to the following 4 45, 6 o and is​

Answers

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

Solve the system of equations by substitution
5x +y = 36
y = 4x

Answers

Step-by-step explanation:

The answer is mentioned above.

To start off your going to plug in 4x into the equation. Which will turn into 5x + 4x = 36. You will add 5 and 4 since they both have an x in it. Which would leave you to 9x = 36. Only thing left to do is divide 36 by 9. Which would equal to 4 and that will be your answer. X=4

Johan leased a car for three years. He
paid a one-time fee of $1,000, and an
additional $300 per month for the full
three years. At the end of the three years,
what is the total amount Johan paid for
leasing this car?

Answers

Answer:

Step-by-step explanation:

A year has 12 months. 3 years have 36 months.

Total amount = 36 * 300 + 1000

Total amount = 10800 + 1000

Total amount = 11800

Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above shows the dimensions of the triangle for each side. What will be the total surface area, in square inches, of the pyramid, including the square base?​

Answers

Answer:

340 inch²

Step-by-step explanation:

Side of the square is equal to the base of the triangle.

Area of square base

= side²

= (10 inch)²

= 100 inch²

Area of each triangle

= ½ × base × height

= ½ × 10 inch × 12 inch

= 10 inch × 6 inch

= 60 inch²

So, area of 4 triangles used

= Area of each triangle × 4

= 60 inch² × 4

= 240 inch²

Total surface area of pyramid

= Area of square base + area of 4 triangles

= 100 inch² + 240 inch²

= 340 inch²

Other Questions
discuss critically the five religions principles that may impact positively on the issue of teenage pregnancy what are the measures of other angles of parallelograms 56 Help please due today The graph shows the number of appearances of hockey teams in the Stanley Cup Finals. a. Write the ratio that compares the appearances made by the Rangers to the appearances made by the Canadiens in simplest form. Then explain its meaning SOMEONE HELP ME PLEASE Why do some people worry about giving satisfaction to others and forget to be happy? Find the area of the square whose side is 3x2 - y How do you abide by company rules and regulations ?????????????????????????????? I need help with this please!! Calculate the engineering stress in SI units on a bar 25 cm long and having a cross section of 9.00 mm 4.00 mm that is subjected to a load of 3500 kg. Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?Original(Gallons)Added(Gallons)New(Gallons)Amount of Detergent1.980Amount of Solution11gStartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFractionStartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction Factor completely: 10a2 - 15a + 4ab - 6b.A)(2a - 3)(5a + 2b)B)(2a - 3b)(5a + 2)C)(2a + 3)(5a - 2b)D)(2a- 3) (5a-2b) I neeed Help it easy what did europeans discover would happen if they planted potatoes instead of grain? Which economy gives private businesses and individuals freedom to make economic decisions A theme is a __ idea1. Partial2. Complete3. Shortened4. Staccato find the value of x .65,6.5,2/3,1/2 least to greatest The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday