8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.

Answers

Answer 1

9514 1404 393

Answer:

  4

Step-by-step explanation:

Undo what is done to x.

  3x > 11 . . . . . subtract 5

  x > 11/3 = 3 2/3 . . . . divide by 3

The smallest value of x is 4.


Related Questions

$16000 increased by 20%



Tell me the answer plssss

Answers

Answer:

16,000, percentage increased by 20% (percent) of its value = 19,200

Step-by-step explanation:

Answer:

Hope the answer is by substracting

15999.8

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).

MIN X1 + X2 + X3 + X4

s.t. X1 + X4 ≥ 12 ........(on duty during shift 1)
X1 + X2 ≥ 15 ........(on duty during shift 2)
X2 + X3 ≥ 16 ........(on duty during shift 3)
X3 + X4 ≥ 14 ........(on duty during shift 4)
X1, X2, X3, and X4 ≥ 0

Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?

a. 13
b. 12
c. 14
d. 15
e. 2

Answers

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

from a random sample of 24 months from january 2006 through december 2016, the mean of number of tornadoes per month in the united states was about 100. assume the population standard deviation is 114

Answers

Wow cool nice fun yay

Find the zeros
[tex]x^3+8x^2-20x+48[/tex]

Answers

Answer:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈−10.37392996

Step-by-step explanation:

The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?

NO LINKS PLSSSS

Answers

Answer:

the weight of the bar is 130 pounds

Answer: realsies

Step-by-step explanation: w manz

What is the median of this list of grades: 78,55,98,86,92,70,60 ?

Answers

Answer:

the median of this list is 78

A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of 1.2 days. Construct a 95% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits Construct a 92% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits

Answers

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

what is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?​

Answers

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data

Answers

Answer:

statistic

Step-by-step explanation:

whats 6 divided by 10?

Answers

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

1) I can find my volume if the volume of the cylinder is multiplied
by Who am 1?
b. Prism
a. Cone
d. Sphere
c. Pyramid
2) The volume is that of a cylinder that has the same base and
height with me. Who am I?
c. Prism
d. Pyramid
a. Cone
b. Cylinder
3) The volume of the pyramid is of the volume of what figure?
a. Cone
b. Cylinder
C. Prism
d. Pyramid
4) A rectangular prism has 10 cm length, 4 cm width and 5 cm
height. What is the length of the rectangular pyramid?
d. 20 cm
b. 5 cm
c. 10 cm
a. 4 cm
Additional Activities
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm, while its height is 10
cm. She wanted to transfer some of her clay to her cone-
shaped container. What is the volume of the cone to be filled
and height with the can?​

Answers

You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.

How to calculate the volume of a sphere?

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Where:

V is the volume of a sphere.r is the radius of a sphere.

Note: The volume of a cylinder is equal to πr² × r.

Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).

How to calculate the volume of a cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

Note: The volume of a cylinder is equal to πr²h.

Therefore, 1/3 × πr²h (volume of a cone).

How to calculate the volume of a pyramid?

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Volume = 1/3 × πr²h.

In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.

How to calculate the volume of Diane's cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

V = 1/3 × 3.14 × 6² × 10

Volume, V = 376.8 cm³.

Read more on volume of a cone here: https://brainly.com/question/3029844

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Find the length of side y.
y=_ft

Answers

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
through the two points. Which equation represents Nolan's line?
O y = 2x + 1
O y = 2x +3
O y = ax + 2
O y = 3x + 5

Answers

Answer:

O y = 2x + 3

Step-by-step explanation:

(Worth 10 points)
Please actually answer this question

Answers

Answer:

i belive the correct awnser is A

Step-by-step explanation:

9514 1404 393

Answer:

  A  figure 1

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

The slope and y-intercept in your equation are both 2. That means the graph crosses the y-axis at y=2 (above the x-axis), and has a positive slope (goes up to the right.

The two top graphs, figures 1 and 2, show lines with positive slope. Only figure 1 shows a graph with positive slope and a positive y-intercept.

3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point

Answers

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

=> 3x +5y = 7

=> 5y = 7 - 3x

=> y = (7-3x)/5

=> y = -3/5x + 7/5

On comparing this equation to the slope intercept form y = mx + c ,

=> m = -⅗

Now the slope of the line perpendicular to this line will be , say m'

=> m' =- 1/m

=> m' = -1/-⅗

=> m = 5/3

Now the line passes through (-1,2 ) . so on using point slope form , we get ,

=> ( x - x1) m = ( y - y1)

=> ( x - (-1)) × 5/3 = y - 2

=> ( x +1)×5 = 3( y -2)

=> 5x + 5 = 3y -6

=> 5x - 3y +5 +6=0

=> 5x -3y +11 = 0

Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .

Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?

Answers

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

An arc that measures 180 degrees is called a

Answers

An arc that measures 180 degrees is called a semicircle.

If it measures less than 180 it’s a minor arc.

If it measures greater than that it’s called a major arc

if you borrow 900 dollars for 6 years at an annual interest rate of 7% how much will you pay all together

Answers

Answer:

$963

Step-by-step explanation:

900 times 1.07=963

1. Name the angle below in four ways. Then classify it as acute, right, obruse, or straight.
Please anwser :/​

Answers

Answer:

Ok so I know the angle is acute

Step-by-step explanation:

because the angle looks smaller than a 90 degree angle...


4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.

Answers

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

Over what interval(s) is the function decreasing?
A)
-∞ < x < ∞
B)
- ∞ < x < 5
C)
5 D)
never

Answers

Answer:

A and B

Step-by-step explanation:

C isnt an interval and the function is always decreasing

The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set

Answers

Answer: Your question has some missing data attached below is the missing data

Answer : Mean value is Greater

Step-by-step explanation:

The relative value of the mean for original data set is greater

Relative value of median for original data set is lesser

This is simply because the The distribution is generally skewed to the right ( Right skewed )

I-Ready Surface area of composed figures what is the surface area of this design

Answers

Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

Learn more about Surface Area here :

https://brainly.com/question/29298005

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1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5

Answers

The correct answer to your question is d

In the figure below, j || n. Find the values of y and x.

Answers

So (3x+14)° and 70° are supplementary angles based on the picture and the given facts. This means added together they will equal 180
(3x+14)+70=180
3x+14=110
3x=96
x=32
You can then use (3x+14) to find y since they are corresponding. Above we found (3x+14)=110 and since y=(3x+14) then y=110

Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.​

Answers

Answer:

48pi

Step-by-step explanation:

pi x 8² - pi x 4²

64pi - 16pi

48pi

how do you find the answer?5y+8=-6​

Answers

Answer:

Step-by-step explanation:

5y+8=-6

-8

5y=-14/5

y=-2.8

Answer:

y = - 2.8

[tex]y=-2\frac{4}{5}[/tex]

Step-by-step explanation:

5y + 8 = - 6

5y + 8 - 8 = - 6 - 8

5y = - 14

5y ÷ 5 = - 14 ÷ 5

y = - 2.8

(2.8•10^8)(1.9•10^4)

Answers

Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Answers

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

What is hypothesis testing?

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

To learn more about hypothesis testing please click on below link.

brainly.com/question/29607047

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Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?

Answers

The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.

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