Select the best answer for the question.
15. Solve the inequality. Write the solution set in interval notation.

Select The Best Answer For The Question.15. Solve The Inequality. Write The Solution Set In Interval

Answers

Answer 1

Answer:

answer is the first one

Answer 2

Answer:

A.

[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]

Step-by-step explanation:

Inequality given:

[tex]11\leq 6(n+4)-4n[/tex]

[tex]11\leq 6n+24-4n[/tex]

[tex]11\leq 2n+24[/tex]

[tex]11-24\leq 2n+24-24[/tex]

[tex]-13\leq 2n[/tex]

[tex]$\frac{-13}{2} \leq n$[/tex]

Interval Notation:

[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]

We have:

[tex]$\{n \in \mathbb{R}:n\geq \frac{-13}{2} \}$[/tex]


Related Questions

GHIJ is a parallelogram. find value of x and y. You need to show your work to earn full credit.

Answers

Answer:x=5 and y=8

Step-by-step explanation:

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals intersect in the center.

GHIJ is a parallelogram. Then the equation is given as,

HI = GJ

5x - 10 = 7x - 20

7x - 5x = 20 - 10

2x = 10

x = 5

Then the other equation is given as,

GH = IJ

3y = 5y - 16

5y - 3y = 16

2y = 16

y = 8

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

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Can someone help me?

Answers

Answer:

a=b+12=b=c+4= the relationship between the two of them is 12/3=4

Answer:

a=c+16

Step-by-step explanation:

b=c+4 and a=b+12

so

a=(c+4)+12

a=c+4+12

a=c+16

What happens to the mean of the data set {2, 4, 7, 6, 3, 6, 7} if the number 25 is added? the mean a number here by a number here .

Answers

Answer:

The mean will increase by 2.5

Step-by-step explanation:

The mean is just another word for the average of the data set. You can find this by adding all of the values and dividing by the number of values there are. (i.e 2+4+7+6+3+6+7 divided by 7). The original mean is 5. If you add 25, the average will increase to 7.5

Answer:

increased 2.5

Step-by-step explanation:

There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4

Answers

A 2/5 of the students because because 8 out of the 20 students have speaking parts

Taking into account the definition of probability, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

There are 20 children in the cast of a class play, and 8 of the children are boys. Then,   realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.

On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8  do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4  do not have a speaking part in the play.

Therefore, 4 + 4 = 8 of the children have a speaking part.

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case:

number of favorable cases= 8 of the children have a speaking part.number of possible cases= 20 children

Replacing in the definition of probability:

[tex]P(A)= \frac{8}{20}[/tex]

Simplifying the fraction:

[tex]P(A)= \frac{2}{5}[/tex]

Then, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

A soccer player is training during pre-season. His trainer tells him to
increase his calorie intake to 3,475 calories per day. How many calories
does the football player consume in 2 weeks?​

Answers

Answer:

48,650

Step-by-step explanation:

3,475 times 14 bc thats how many days are in 2 weeks(obviously)

please answer need help with equation!

Answers

Answer:

Hi there hope ur having a good day , the answer is

18P

Step-by-step explanation:

[6 X 3]P

18P

Answer:

18P

Step-by-step explanation:

[3X 6]P

18P

Have a great day

Please help me with this . Please I’m struggling and I can’t fail geometry

Answers

Answer:

BO

Step-by-step explanation:

bo becuase radius is the line that touches the center of the circle

Answer:

bo

Step-by-step explanation:

if you look b is the  only on touching that the O's dot

Write the equation of a line in point-slope form thatſgoes through the coordinate
(4, -3) and has a slope of 7. *

Answers

Answer:

hope this helps you

will mark as brainliest

Answers

85% is the percentage

pls mark as brainliest

Answer::

Step-by-step explanation:

Write the slope-intercept form of the equation for the line. a. y=-8/7x+3/2 b.y= -3/2x+7/8 c.y=-7/8x-3/2 d.y=7/8x+3/2 Write the slope-intercept form of the equation for the line.

Answers

Answer:

c)

Step-by-step explanation:

(-4,2)  ; (4,-5)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}[/tex]

m = -7/8 ;   (-4,2)

equation: y - y1 = m(x - x1)

[tex]y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\[/tex]

Direct Variation: If y = 20, when x = 8, find y when x = 40.


A. 10

B. 80

C. 50

D. 100

Answers

Answer:

D

Step-by-step explanation:

X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100

The answer would be D

help me please i need it

Answers

Answer:

$300

Step-by-step explanation:

Money that she earns per hour:

$180÷18=$10

30 hours:

30×$10=$300

Answer:

$300

Step-by-step explanation:

.
Find the surface area of the following figure.



166pi cm2

130pi cm2

158pi cm2

119pi cm2

Answers

Answer:

b

Step-by-step explanation: sike idk

Answer:

i say 130 pi

Step-by-step explanation:

it is the closest one

area = 2πrh+2πr2=2·π·5·8+2·π·52≈408.40704

f(x)=4x^2 + 3x +13 {Find } f(1)

Answers

f(x)=4x^2+3x+13

Plug in x=1:

f(1)=4(1)^2+3(1)+13

=4*1+3+13

=4+16

=20

Answer:

f(1) = 20

Answer:

20

Step-by-step explanation:

Which linear function represents the line given by the point-slope equation y +1=-3(x–5)?

f(x) = -3x – 6
f(x) = -3x - 4
f(x) = -3x + 16
f(x) = -3x + 14

Answers

Answer:

f(x)=-3x+14

Step-by-step explanation:

y +1=-3(x–5)

y +1=-3x+15

y= -3x+15-1

f(x) = -3x + 14

The answer is if f(x)= -3x+14

Find the common ratio, the 8th term, the explicit formula, the recursive formula, and the three terms in the sequence after the last one given.

-1,2,-4,8

Answers

Answer:

I am also truly sorry

Step-by-step explanation:

Answer: 29

Step-by-step explanation:

replace n with 8

find the value of x in the picture

Answers

Answer:

x = 38

Step-by-step explanation:

A straight line is 180°. We are given 134 and 84. We can find the value of ∠QLM and ∠QML by taking the given numbers and subtract it from 180:

180 - 134 = 46

180 - 84 = 96

All triangles add up to 180. And we already have two of the angles in the triangle. So to find x, we take 46 and 96, add, and subtract from 180:

46 + 96 = 142

180 - 142 = 38

Answer:

x = 38

Step-by-step explanation:

∠ KLO and ∠ MLO are adjacent and supplementary, thus

∠ MLO = 180° - 134° = 46°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ NMO is an external angle of the triangle, thus

x + 46 = 84 ( subtract 46 from both sides )

x = 38

plsssss help due today !!! ill give brainliest

Answers

Answer:

1.5

Step-by-step explanation:

We can set up the equation 0.50X = 0.750

Divide by 0.5 and we get .75/.5=1.5

i think that the answer is c?

A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch the building if it makes the same angle with the ground as the longer ladder?

Answers

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

Calculate the slope of the line that goes through the points (1, −5) and (0, −10

Answers

Answer:

5

Step-by-step explanation:

We can find the slope given two points

m = (y2-y1)/(x2-x1)

   = (-10- -5)/(0 -1)

   (-10+5)/(-1)

     - 5/-1

     5

Answer:

5

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers/coordinates accordingly:

[tex]m=\frac{-10+5}{0-1}[/tex]

[tex]m=\frac{-5}{-1}[/tex]         →         [tex]m=\frac{5}{1}[/tex]

m = 5

Michael is packing his bags for his vacation. He has 5 unique shirts, but only 4 fit in his bag. How many different groups of 4 shirts can he take?

Answers

Answer:

12

Step-by-step explanation:

I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped

Answer:

5 shirts

Step-by-step explanation:

Think of this question like this, where each shirt option (5 options) has a number:

Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5

Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:

1)   Shirt #1, Shirt #2, Shirt #3, and Shirt #4

2)   Shirt #2, Shirt #3, Shirt #4, and Shirt #5

3)   Shirt #3, Shirt #4, Shirt #5, and Shirt #1

4)   Shirt #4, Shirt #5, Shirt #1, and Shirt #2

5)   Shirt #5, Shirt #1, Shirt #2, and Shirt #3

if the nth term of a sequence is 3n + 1 what is the 8th term​

Answers

Answer:

25

Step-by-step explanation:

24 + 1

The value of 8th term of the sequence will be 25.

What is the general formula of nth term of a sequence ?

The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.

The nth term of the sequence is 3n+1

The 8th term will be 3 * 8 + 1 = 25

Therefore, the value of 8th term of the sequence will be 25.

To know more about the general formula of nth term of a sequence

https://brainly.com/question/14166351

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Stephanie has $4,500 in
her savings account. If it
earns 6% interest every
month how much
money does Stephanie
have in her bank
account after three
months?
7.EE.3

Answers

Answer:

5310

Step-by-step explanation:

She gets 270 extra every month and if you multiply that by 3 then you add that number onto 4500 then you get 5310

Answer:

5359.57

Step-by-step explanation:

4500x1.06^3=5359.57

it is ^3 because it is after three months

Find the measure of Angle A

Answers

Answer:

49°

Step-by-step explanation:

Lines k and n seem to be parallel, so that means that 7x = 2x + 35 (corresponding angles are congruent), and x = 7. That means that angle A = 2x + 35 = 14 + 35 = 49° (because they are vertical angles).

The measure of <A is 49 degree.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Solve the system of equations.
- 5x + 2y = 9
Y = 78
=

Answers

Answer:

x = 147/5 and y = 78

Step-by-step explanation:

First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5

then plug 147/5 into x and find y

Answer:

x = -147/5 , y = 78

Step-by-step explanation:

- 5x + 2y = 9

Y = 78

Substitute the second equation into the first

-5x + 2(78) = 9

-5x +156 = 9

Subtract 156 from each side

-5x+156-156 = 9-156

-5x =147

Divide each side by -5

-5x/-5 =147/-5

x = -147/5

what is the simplified form of x + 6 / 3 - x + 2 / 3​

Answers

Answer:

24

Step-by-step explanation:

Answer:

hi I hope this helps you

Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function B is _​
HELP ME PLZZZZZZZZZZ I NEED IT

Answers

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

plzz answer will give you brainliest!!!

Answers

Answer:

I think C

Step-by-step explanation:

Hope it was Right.

what is the cosine for F?

A. 13/12

B. 13/5

C. 12/13

D. 5/13​

Answers

the cosine for F is A
Pretty sure it’s A :)

The radius of a circle is 19 cm. Find its area in terms of pi

Answers

Answer:

Solve for area

A≈1134.11cm²

r Radius

19

cm

Solution

A=πr2=π·192≈1134.11495cm²

Answer: 1133.54

Step-by-step explanation:

The formula of area of a circle: A = [tex]\pi[/tex]r squared

All you have to do is plug the numbers in, so A= 3.14 (19) squared. Solve

19 times 19 = 361, and 3.14 times 361 = 1133.54

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