using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Answers

Answer 1

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)


Related Questions

A café has a monthly fixed cost of $4700, and a typical customer order costs the café $2. Therefore, the cost to serve x customers in a month is given by x = 4,700 + 2x. The typical order costs $10. So revenue is y = 10x. Find the number of customers that would need to come in the café for the company to break even. (Intersection point)

Answers

Answer:

The number of customers that would need to come in the café for the company to break even is 470.

Step-by-step explanation:

Given

Revenue = y = 10x ……………….…. (1)

Cost = x = 4,700 + 2x ……………… (2)

Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:

10x = 4,700 + 2x

10x - 2x = 4,700

x = 4,700 / 10

x = 470

Therefore, the number of customers that would need to come in the café for the company to break even is 470.

24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
A 3:1
B. 9:1
C. 1 3
D 1.9

Answers

Answer:

9:1

Step-by-step explanation:

432/48=9

9:1

-5x - 2y = 18 in slope intercept form.

Answers

Answer:

y=-5/2x-9

Step-by-step explanation:

I hope this helps

What happens to the mean of the data set shown below if the number 20 is added to the data set?

Answers

Answer: The data set is missing therefore I will give you a more general answer

answer : The mean value will shift ( to the right ) by 20

Step-by-step explanation:

when a  number is added to each data value in a data set the mean value will shift ( to the right ) likewise the mode, and Median by the same amount that was added to the data set . but the range and IQR will remain unchanged

Answer:

The answer is C

Step-by-step explanation:

The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle​

Answers

Answer:

2471.81

Step-by-step explanation:

Let I be the interest, r the annual rate and P the principal. Then:

I = P(r)^2 = 5460

I = P(r)^4 = 12060.6

so r^2 = P(r)^4 /  P(r)^2 = 12060.6/5460

r^2 = 2.2089

r = 1.486

So  P(r)^2 = P* 2.2089 = 5460

P = 5460 / 2.2089 = 2471.81.

22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north
at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90

Answers

C in my opinion
#CarryOnLearning

Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?

Answers

Answer:

2 miles i think

Answer:

In 1 hour, he'll walk 4/3 miles

Step-by-step explanation:

Ratios:

[tex]\frac{1/3}{1/4} =\frac{x}{1} \\\\\frac{1}{4} x=\frac{1}{3} \\\\x=\frac{4}{3}[/tex]

c)
(-6, 3)
d) (-3,0)
cion...
What will be the new position of the given point (9,-4) after reflection across
the line x = 1?
ractice
a)
(7,4)
b) (7,-4)
c)
(-7,-4)
d) (-7,4)
Tr...
aze
I
Transform...
MazeNo Key

Answers

Answer:

c)

(-6, 3)

d) (-3,0)

cion...

What will be the new position of the given point (9,-4) after reflection across

the line x = 1?

ractice

a)

(7,4)

b) (7,-4)

c)

(-7,-4)

d) (-7,4)

Please help I need to do this

Answers

Answer:

4:

b) f(-1) = 0.50; f(-2) = 0.25; f(-3) = 0.125

c) Graph is attached -but you will need to do this by hand on the blank graph on the assignment.

5:

a) Increasing, y-intercept at (0, 125)

b) Decreasing, y-intercept at (0, 22)

c) Increasing, y-intercept at (0, 256)

HELP ASAPPP Pls
———————-
In a state, one town is 250 feet above sea level and another town is 30 feet below sea level. what is the difference in elevations?
(NO LINKS OR ILL REPORT)

Answers

The difference in Elevation is 280

Answer:

Im not so good at math but if you need help I suggest math    way.... Never fails me anyway

Step-by-step explanation:

Oops sorry no links;) :-P

Just to review, probability can be written as....

Answers

Answer:

Percentage

Step-by-step explanation:

The higher the probability number or percentage of an event, the more likely is it that the event will occur. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).

A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'

Answers

The answer is c i done it

A rectangular blanket is 4 times as long as it is wide. Its width is 8 yards. What is the area of the blanket?​

Answers

Answer:

The area is 256

Step-by-step explanation:

Use the function below to find F(1).

F(t) = 2•1/2^3t


Please Help

Answers

Answer:

C. 1/4

Step-by-step explanation:

2 * 1/2^3t

substitute 1 for t so it would be:

2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4

For a sample size of 120 and a sample proportion of 0.4, what is the standard
error of the sampling distribution? Round your answer to three decimal
places.
A. 0.053
B. 0.064
C. 0.045
D. 0.039

Answers

Answer:

c I think not sure juinji

The standard error of the sampling distribution is 0.014. The closest option to 0.014 among the answer choices is C. 0.045, but it is not a match. None of the provided answer choices matches the calculated value exactly.

To find the standard error of the sampling distribution, we can use the formula:

[tex]Standard Error = \sqrt{[(sample proportion * (1 - sample proportion)) / sample size]}[/tex]

Given a sample size of 120 and a sample proportion of 0.4, we can calculate the standard error as follows:

[tex]Standard Error = \sqrt{[(0.4 * (1 - 0.4)) / 120]}\\Standard Error = \sqrt{[(0.4 * 0.6) / 120]}\\Standard Error = \sqrt{[0.024 / 120]}\\Standard Error = \sqrt{0.0002}\\Standard Error \approx 0.014[/tex]

Rounded to three decimal places, the standard error is approximately 0.014.

To know more about sampling distribution:

https://brainly.com/question/28990704

#SPJ2

15 = 5(x +2 )

x=

ill mark brainliest and 20 points

Answers

Answer:

x=1

Step-by-step explanation:

15 = 5(x +2 )

15/5= 3

3-2= 1

x=1

Mrs. Smith wants to cover her garden with dirt. She measured half the garden's length at 6 feet long. How many square feet will Mrs. Smith need to cover?

Answers

Answer:

Missing information

Step-by-step explanation:

We aren't told the width or the shape of the garden so its not possible for me to answer this, however I can tell you the length of the garden.

6ft = 1/2x

x = 12ft

The garden is 12ft long, if you would like further help with this question please provide me with all the information to this problem.

Please mark brainliest if this helped!

Please mark brainliest if this helped!

I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?​

Answers

Answer:

You can get 24 tickets

Step-by-step explanation: You do the math

help me please and thanks!!!!

Answers

Answer:

The answer is B.

Step-by-step explanation:

so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.

Factor each expression completely
4x² + 6x – 40
Show your work!!!

NO LINKS PLS

Answers

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

Evalue without using a calculator

Answers

Answer:

square root of 2

Step-by-step explanation:

Find the length of each arc. Round your answer to the nearest tenth

Answers

I think the answer is B

Find the slope, or rate of change, from the following tables:


Please help me

Answers

the first one, the slope is 5.


the second one, the slope is 2/3.

What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?

Answers

Given:

Let us consider,

Length of a rectangular prism = 8 inches

Width = [tex]6\dfrac{3}{4}[/tex] inches

Height = [tex]5\dfrac{1}{4}[/tex] inches

To find:

The volume of the rectangular prism.

Solution:

The volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting the given values, we get

[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]

[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]

[tex]V=\dfrac{567}{2}[/tex]

[tex]V=283.5[/tex]

Therefore, the volume of the rectangular prism is 283.5 cubic inches.

Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth

Answers

f (15) = $142.50

i hope this help you!

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

If you want to learn more, you can read:

https://brainly.com/question/9446123

I have alot of questions and I need help with a practice quiz ​

Answers

ok imma help u just it should not be chem

okay! ill help, what subject ??

Mhanifa can you please help me? This is due soon. I will mark brainliest!!

Answers

Answer:

6) 197) 22

Step-by-step explanation:

Diagonals of a rectangle are congruent#6

JL = KM

3x + 4 = 4x - 14x - 3x = 4 + 1x = 5

JL = 3*5 + 4 = 19

#7

JL = KM

2x - 6 = 3/2x + 12x - 3/2x = 1 + 61/2x = 7x = 14

JL = 2*14 - 6 = 22

Answer:

JL = KM

3x + 4 = 4x - 1

4x - 3x = 4+1

X= 5

JL = 3*5 + 4 = 19

JL = KM

2x - 6 = 3/2x + 1

2x - 3/2x = 1 + 6

1/2x = 7

X= 14

JL = 2*14 - 6 = 22

What is the formula for the volume of a cone? (Use the word Pi instead of the symbol)

Answers

Answer:

(1/3) Pi r^2 h

Step-by-step explanation:

The volume of a cone (or pyramid, for that matter) is 1/3 the area of the base times the height.

Cones have bases that are circles, so their areas are Pi r^2, usually written [tex]\pi r^2[/tex], Pi times the radius squared.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?

Answers

Answer:

Step-by-step explanation:

Given is a pentagon. It has 5 sides

4y - 18 = 20
Y=
PLEASE HELP!!!!!!!

Answers

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

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