List the integer solutions of: -3 < 2e ≤ 8.

Answers

Answer 1

9514 1404 393

Answer:

  {-1, 0, 1, 2, 3, 4}  

Step-by-step explanation:

Divide by 2 to find the solution.

  -3/2 < e ≤ 4

The integer solutions are ...

  {-1, 0, 1, 2, 3, 4}

Answer 2

Step-by-step explanation:

-3 < 2e ≤ 8

devided by 2

-3/2 < e ≤ 4

so, the integers are : { -1,0,1,2,3,4}


Related Questions

Another identity problem...

Answers

Answer:

cot(x)=-sqrt(3)/3

Step-by-step explanation:

I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.

Plug in:

sin^2(x)+(-1/2)^2=1

Simplify:

sin^2(x)+1/4=1

Subtract 1/4 on both sidea:

sin^2(x)=3/4

Square root both sides:

sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]

cot(x)=(-1/2)/(sqrt(3)/2))

cot(x)=-1/sqrt(3)

Rationalize denominator by multiplying by sqrt(3)/sqrt(3):

cot(x)=-sqrt(3)/3

cot(x)=

Solve for c.

53= 7 c +11
10

Answers

Answer:

c=6

Step-by-step explanation:

7c+11=53

you subtract 11 from both sides giving you

7c=42

then divide both sides by 7

c=6

calculate the area of the kitchen if the outer wall with the window is 10 feet, the depth (height) of the kitchen is 7 feet, and the dotted line that connects to two walls is 8 feet.

Answers

Answer:

80 Ft²

Step-by-step explanation:

Area= length x width

length= 10 feet

width= 8 feet

A= 10 × 8

A= 80 Ft²

squared because it's feet multiplied by feet

Ft × Ft= Ft²

Solve this equation: m - 3.6 = 13.8

Answers

Answer:

m= 17.4

Step-by-step explanation:

Tara bought one share of Apple stock in 2018 for $43.75. Then, three years later, she sold it for $136.76. How much money did she gain/lose with this stock? What was her return on investment?

Answers

Answer:

Gain= $93.01

ROI= 212.59%

Step-by-step explanation:

Given data

Cost of apple share in 2018 = $43.75

Sale price of apple share= $136.76

1. Her gain is

Gain= Sales price- Cost price

Gain = 136.76-43.75

Gain= $93.01

2. ROI is

ROI= Gain/cost*100

ROI= 93.01/43.75*100

ROI=2.1259*100

ROI= 212.59%

Two sides of a right triangle have lengths of 2 centimeters and 5 centimeters. The third side is NOT the hypotenuse. How long is the third side?

Answers

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

Please help me almost due!!!:):$:

Answers

Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

can someone explain, i'm literally sweating trying to figure it out

Answers

Answer:

54 degrees.

Step-by-step explanation:

So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).

Given this, set these values equal to each other to get the value of a.

d = a + b

2a = (a+10)+44

2a = a + 54

a = 54

The measure of the exterior angle is 54 degrees.

2/3+1/4=
Pls help meeeeeeee

Answers

Answer:

11/12 should be the correct answer!

Step-by-step explanation:

Let's make the denominator the same!

Lcm of 3 and 4 is 12

sooo... multiply

2/3 x 4/4 = 8/12

1/4 x 3/3 = 3/12

8/12 + 3/12 = 11/12

0.91666666666 I guesss


[tex]find \: the \: area \: of \: cylinder \: \\ \\ height \: = 4cm \\ \\ base \: radius \: = 6cm \\ \\ [/tex]

Answers

Answer:

Curved Surface Area = 48π cm² (≈ 150.72 cm²)

Total Surface Area = 120π cm² (≈ 376.8 cm²)

Step-by-step explanation:

GIVEN :-

Height of cylinder = 4 cmBase radius = 6 cm

TO FIND :-

Area of cylinder

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Curved Surface Area of cylinder = 2πrh

Total surface Area of cylinder = 2πrh + 2πr² = 2πr(h + r)

SOLUTION :-

Curved Surface Area of cylinder = 2×π×6×4 = 48π cm² ≈ 150.72 cm²

Total Surface Area of cylinder = 2×π×6(4 + 6) = 120π cm² ≈ 376.8 cm²

What is an equation of the line that passes through the points (-3,-1) and (6,2)?​

Answers

Answer:

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

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (6,2)

[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{3}x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]2-2=2+b-2\\0=b[/tex]

Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:

[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

I hope this helps!

ASAP
-WILL MARK BRIANIST

Answers

Answer:

20%

Step-by-step explanation:

40-32=8

8/40=20%

This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.

Answer:

32 are eaten so we need to eliminate that from the total pieces.

40 - 32 = 8 are not eaten YET

8/40 since there are 8 out of 40(in total) that are not eaten

Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.

Brainliest is appreciated.

A right rectangular prism and its dimensions are shown.
5 cm
5
Uw
2cm
3 cm
What is the volume, in cubic centimeters, of the rectangular prism?
O
O A. 1530
OB. 30
О С. 30.
20
OD. 42

Answers

Answer:

42

Step-by-step explanation:

15/4 x 2/1 x 28/5 = 840/20 = 42

A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?

Answers

Answer:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Step-by-step explanation:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0

Answers

Answer:

I think it’s (4)

Step-by-step explanation:

Not sure but thats the only close answer I got

I believe the answer is 4

I’ll mark as brainliest.

Answers

Answer:

7 + 7 = 14(given lengths)

34(total length) - 14(given length) = 20

20 divided by 2(2 missing slots) = 10

Answer:

10 in

Step-by-step explanation:

formula for perimeter:2 (l + b)

perimeter=34 in

2 ( l + 7 ) = 34

2l + 14 = 34

2l = 34 - 14

l = 20 ÷ 2

l = 10 in

simplify: x'2-9/x'2-3x

Answers

Answer:

this is the answer Hope's it helps

Addition and Subtraction Property
what is x + 5 + 7

Answers

Answer:

the answer to the equation is x + 12

Step-by-step explanation:

x + 5 + 7 = x + 12

x + 12

Answer:

x+12 it think im not sure

Step-by-step explanation:

add 5 and 7 which get 12


[tex]if \: 8x = 16y \: then \: \frac{x}{y } is[/tex]

Answers

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

I pull a block out 50 times, I pull a green block 32 times out of 200 picks how many times will I pull a green block?

Answers

Answer:

128 times

Step-by-step explanation:

32 / 50 = 0.64

0.64 * 200 = 128

128 times out of 200

Chris went out to dinner. His total bill before tax and tip was $23.40. He was charged an additional 8% tax and he also paid 15% tip on the original bill

Answers

Answer:

total cost = amount paid + tax paid + tip

total cost = $23.40 + 1.872 + $3.51

Step-by-step explanation:

Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.

total cost = amount paid + tax paid + tip

tax paid = 8% x $23.40

0.08 x $23.40 = $1.872

tip = 15% x original bill

0.15 x $23.40 = $3.51

total cost = $23.40 + 1.872 + $3.51

................helpppp.......................

Answers

Answer:

36 cm³

Step-by-step explanation:

V = lwh

you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12

the remaining portion is 2 × 2 × 6 which gives a volume of 24

12 + 24 = 36 cm³

Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?

Answers

Answer:

10

Step-by-step explanation:

every day he doubles the number of sold cars compared to the previous day.

so the sequence goes along the powers of 2 :

1

2

4

8

16

32

64

128

256

512

1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.

but - maybe we reached the total of 1000 cars already before that.

as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.

e.g. 8 = 4 + 2 + 1 + 1

64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1

therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.

so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.

It takes 11 days for the salesman to sell at least 1000 cars.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.

The inequality is : a(1-rⁿ)/(1-r) ≥ 1000

In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:

1(1-2ⁿ) ≥ 1000

1-2ⁿ ≥ 1000

2ⁿ ≤ 999

Now we can take the log base 2 of both sides

n ≤ log₂(999) +1

n ≤  9.97+1

n ≤ 11

As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

what is 7 copies of 1/10

Answers

Answer:

7/10

Step-by-step explanation:

1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10

Answer:

7/10

Step-by-step explanation:

i dont really know how i can explain it :(

PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answers

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

What is the slope of the line??

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

slope is found by putting the rise over run, which is -2/4 or -1/2

у varies inversely as x, and y = 45 when x = 7

Answers

Answer: -2

Step by step Explanation: y=k/x

Replace y with 7 and x with -2

7=k/-2 gives you -14

then you replace k with -14 and x with 7

Y=14/7 gives you -2

can someone pls help with all 4

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Please mark me as brainlist thanks

Find the value of x. Please Helppp

Answers

Answer:

x = 18

Step-by-step explanation:

Both angles together make 180, they are essentially supplementary angles thou not on the same line.

Set your formula up as

81 + 5x + 9 = 180

5x = 180 - 81 - 9

5x = 90

x = 90/5

x = 18

9 2/3 – 4 1/5?
I don’t really know and umm yea …

Answers

The Exact form would be 82/15
The decimal form would be 5.46
The mixed number form would be 5 7/15

Answer:

The answer is 188/15

Hope this helps!

Brainliest??

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