16=3(7y+14)-21y solve for y then solve for x

x=7y+14

Answer:

Data Set 2 has the same mean as Data Set 1.

and

Data Set 2 has a larger standard deviation than Data Set 1

Step-by-step explanation:

Mean of both data sets is the same = 6

Data set 2 has a larger standard deviation since the data values are further away from the mean than the data values in data set 1 are from the mean and standard deviation is a measure of variance i.e. how far data set values are from the mean

n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.

Hence, option A) S:{ 9 } is the correct answer.

Given the inequality in the question

3(n + 1) > 5(n − 3)

To determine the integer will make the inequality true, we simply solve for n.

3(n + 1) > 5(n − 3)

Remove the parenthesis using distributive property

3×n + 3×1 > 5×n + 5×−3

3n + 3 > 5n - 15

Collect like terms

3n + 3 > 5n - 15

3n - 5n > - 15 - 3

-2n > - 18

Divide both sides by -2.

Note that; when dividing or multiplying both sides of an inequality by a negative value, the inequality sign flips to the opposite direction.

-2n/-2 < -18/-2

n < 9

n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.

Hence, option A) S:{ 9 } is the correct answer.

Learn more about inequality here: https://brainly.com/question/17675534

#SPJ1

Answer:

a) S:{9}

Step-by-step explanation:

Given equation,

→ 3(n + 1) > 5(n - 3)

Now the value of n will be,

→ 3(n + 1) > 5(n - 3)

→ 3n + 3 > 5n - 15

→ 3n - 5n > -15 - 3

→ -2n > -18

→ n < (-18)/(-2)

→ n < 18/2

→ [ n < 9 ]

Hence, the value of n is 9.

answer:48 miles per hour

The cost of lighting a 500-watt outdoor light for 8 hours according to the task content is; 30 cents.

According to the task content, the energy consumption for lighting the 500-watt outdoor light for 8 hours is; 500 × 8 = 4000 watt-hour = 4 kilowatt-hour.

On this note, since electricity costs 7.5¢ per kilowatt-hour, the cost of 4 kilowatt-hour is; 7.5¢ × 4 = 30 cents.

Read more on proportion;

https://brainly.com/question/12024093

#SPJ1

Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mark bought 10 lb of two types of candies to make Christmas present for his classmates.

Let x is the weight of the less expensive candy (caramel candy).

And, y is the weight of chocolate candies.

Now, The cost of caramel candies = $2.80x

And, The cost of chocolate candies = $3.50y

Hence, Total cost of the candy = $2.80x + $3.50y

Therefore, Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

Learn more about the multiplication visit:

https://brainly.com/question/28094056

#SPJ1

[tex]\: u_{1} - u_{0}= u_{2} - u_{1} \\ - 514 + 514 = - 514 + 514 \\ 0 = 0 \\ true \: so \: u_{n} \: arithmetic \: \: (d = 0)[/tex]

[tex] \frac{u_{1}}{u_{0}} = \frac{u_{2}}{u_{1}} \\ \frac{ - 514}{ - 514} = \frac{ - 514}{ - 514} \\ 1 = 1 \\ true \: so \: u_{n} \: geometric \: (r =1 )[/tex]

[tex]conclusion = \\ u_{n} \: is \: both \: arithmetic \: and \: geometric[/tex]

When f(x) = 1/x is converted to g(x) = 1/x - 7, the impact that this has on the graph of f(x) is that the graph of f(x) is moved down by seven units.

The connection that exists between lines and points in a network may be described using a graph, which is a mathematical description of a network.

g(x)=1/x - 7

f(x)= 1/x

There is a negative seven when the change occurs.

As a result, the graph of f(x) is moved 7 units below.

Learn more about graphs here:

brainly.com/question/14375099

#SPJ1

Answer:

Step-by-step explanation:

bro its soo ezy  A is 4 B is 6 C is 7 D IS 10  a is 30 b is 30 c is 60 d is 0

Julianne's weekly salary based on this annual salary is $788.46

The yearly salary that the job pays Julianne = $41K

No. of weeks in a year = 52 weeks

When referring to a Participant, the term Weekly Salary refers to the weekly rate of pay for services that the Employer had been providing to the Participant at the time of his or her termination from the Employer. According to the Employer's payroll records, the Weekly Salary of a Participant whose rate of pay for services is based on an annual rate shall be equivalent to 1/52 of the yearly such rate at the time of his or her Termination of Employment from the Employer.

Therefore, finding out the weekly salary of Julianne we get:

=Annual salary of Julianne/No. of weeks in a year

= 41000/52 = $788.46

Hence, Julianne's weekly salary based on this annual salary is $788.46

Learn more about arithmetic:

https://brainly.com/question/22260035

#SPJ9

Answer:

8.7m to centimeters means tou move the decimal to the right twice making it 8700cm

Answer:   -1(5a-2)(3a+1)

Step-by-step explanation:

Answer:

-(5a-2)(3a+1)

Step-by-step explanation:

4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.

5. The length of segment CE to the nearest tenth is; 46.7 in.

4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.

The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.

5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.

Therefore, we can establish that;

BD/AE = CD/CE

6/14 = 20/CE

CE = (14 × 20)/6

CE = 140/3

CE = 46.667 in.

Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.

Read more on triangle congruence;

https://brainly.com/question/14252518

#SPJ1

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

The relationship clearly shows a linear relation, so we can get the slope if we use the first two points (2, 4) and (4, 6). The slope is:

s = (6 -4)/(4 - 2) = 1

Then the linear relation is of the form:

y = 1*x + b

To find the value of b we replace the values of the first point:

4 = 1*2 + b

4 - 2  =b

2 = b

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

Learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Answer:

No, because it doesn't go through zero

Step-by-step explanation:

The equivalent expression of x^4y^2 − 3x^3y^3 when rewritten using common factors is x^3y^2(x − 3y)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

x4y2 − 3x3y3

Rewrite the above expression properly

So, we have

x^4y^2 − 3x^3y^3

Factor out x^3 from the expression

So, we have

x^4y^2 − 3x^3y^3 = x^3(xy^2 − 3y^3 )

Factor out y^2 from the expression

So, we have

x^4y^2 − 3x^3y^3 = x^3y^2(x − 3y)

Hence, the equivalent expression of x^4y^2 − 3x^3y^3 when rewritten using common factors is x^3y^2(x − 3y)

Read more about expression at

https://brainly.com/question/22019327

#SPJ1

Answer:

c= -18 is your answer

Answer:

Step-by-step explanation:

(x-4,9)

The probability of of the order spelling MATH is 1/24.

Probability is the chance of happening something or the occurrence of something . We can also define the probability as the chance of occurring or the chance of selecting something from the total set of value. It is always ranges from 0 to 1 where 0 is minimum value and 1 is maximum value of probability.

Formula for probability is :

[tex]prabability(event) = \frac{Favourable \ outcomes}{Total \ outcomes}[/tex]

where, the total outcomes is the sample space of our given data or we can say the total number of values in the sample space.

In the question given,

The sample space is the different ways of arranging the letter which is equals to 4 factorial.

=> Sample space = 4! = 24

and the Favorable outcome is the word "MATH".

Thus, The probability is 1/24,  because out of 24 of them only one can spell math.

To know more about probability, visit:

brainly.com/question/11234923

#SPJ1

Answer: They require 18 to 26 gal of water. But they may also consume 40 gal

Step-by-step explanation:

Answer:C.)8+28-10-35

Answer: 1/2

Step-by-step explanation:

1/2 is 2/4 which is smaller than 3/4

Answer:

997

Step-by-step explanation:

75×12=900

900+45+35+17=997

Answer:

  11. {7, 8}

  12. {8, 9}

  13. {8, 9}

  14. {4, 5}

Step-by-step explanation:

You want consecutive integers that bracket each of the given irrational roots.

A square root of an integer will be rational only if the integer is a perfect square. The first few perfect squares are ...

You know these because you know your multiplication tables.

The square root of a number between these perfect squares will lie between the roots of the squares.

50 lies between the squares 49 = 7² and 64 = 8². That means √50 lies between 7 and 8.

Your calculator tells you that √50 ≈ 7.0710678, which is a number that lies between the integers 7 and 8.

72 lies between the squares 64 = 8² and 81 = 9². That means √72 lies between 8 and 9.

65 lies between the squares 64 = 8² and 91 = 9². That means √65 lies between 8 and 9.

23 lies between the squares 16 = 4² and 25 = 5². That means √23 lies between 4 and 5.

__

Additional comment

The purpose of questions like this appears to be to have you make use of your knowledge of integer perfect squares to guess an approximation of a square root.

A calculator can answer these questions immediately. Of course the two consecutive integers are the integer part of the root, and the next higher integer.

The question is not well-posed. The answer to "integers each value is between" could be 1 < √50 < 50. For integers greater than 1, the square root is always smaller than the integer being rooted. We've seen questions like this enough times that we can guess the intention is for you to identify consecutive integers.

Extra credit

Knowing the integer part of the root and the difference between the number and its next lower perfect square, you can approximate the root as follows:

For integer n = a² +b, the root √n lies between a +b/(2a+1) and a +b/(2a).

For example, 65 = 8²+1, so √65 lies between 8 1/17 and 8 1/16.

5(x+2)-7

5(4+2)-7

20+10-7

30-7

23

9) X value range [-2/5,0] or [2,3]

b since I can't see a or c visablely) x>1

5) -5/3 ≤ x ≤ 2

6) The time interval by which the ball spends more than 1.5m above ground is about 0.263 <x< 1.166 seconds so about 1.397 seconds

9) To find the range of x value, you have to find the interception of these two solutions, and to do that, you have to find each of their solutions

To find the solution to 2x² ≥ 4x, you would first subtract 4x on both sides, resulting in 2x² - 4x ≥ 0. Then, you would factor to common terms, which are x and -2, the new inequality is 2x (x-2) ≥ 0. Then, you divide both 2x and 0 by 2. The new inequality is x (x-2) ≥ 0; you would then make everything ≥ 0. The solution is [- inf, 0] or [2, inf] for 5x² -13x -6 ≤ 0 you are basically doing the same thing for solving x which result in -2/5 ≤ x ≤ 3. With that said you find the interception of those 2 solutions which are [-2/5,0] and [2,3]. The first image should have a picture of the steps and a graph version of the work

b) To find the answer to x - 1/ (x+2) (x+3) > 0 you multiply both sides by (x+2) (x+3) you would then get x - 1 > 0. To islolate x you add 1 on both sides the final answer is x > 1

5) To solve 2x² + 3x + 1 ≤ 11x + 4x - x² you move 11x + 4x - x² on one side and simplify you would get 3x²

-x−10≤0. Then you split the second term into two terms which are 5x and -6x -> 3x² + 5 x - 6x - 10 ≤ 0 then you factor out the common terms in the terms you would then get (3x+5) (x-2) ≤ 0. Then you solve for x you would then get - 5/3 ≤ x ≤ 2. The new graph should show the solutions in graph form.

6) The first step is to create an inequality for the problem in this case it would be 7t - 4.9t > 1.5. At this point you move 1.5 on the left side to make 7t - 4.9t - 1.5 > 0 you would then multiply all terms on both sides by -1 to make -1.5 positive you would then get in standerd form 4.9t² -7t + 1.5 < 0. You would then factor with the quadratic formula after doing so you would get in its simplest form is (x - 1.166) (x - 0.263) < 0 then you would solve for x the time intervals that satisfy the scenario is about 0.263 ≤ x ≤ 1.166 then fine the difference between the solutions and that is about 1.937 seconds. The graph version is in the last picture.

At 5 a.m., the Early Bird departed Wormville, maintaining a constant speed of 75 miles per hour collision at 9:30am and from Sweet Town they have to send the rescue vehicles.

Given that,

At 6:00 a.m., the Orange Blossom Special departed Sweet Town at a continuous 65 miles per hour.

At 5 a.m., the Early Bird departed Wormville, maintaining a constant speed of 75 miles per hour.

There are 551 miles between Wormville and Sweet Town.

We have to find the exact time that the collision will occur

Let Sweet town =ST and Wormville =W.

W⇒5am⇒75 mph

ST⇒6am⇒65 mph

W⇒6am⇒75 mph

ST⇒7am⇒65 mph

W⇒7am⇒75+75=150 mph

ST⇒8am⇒65+65=130 mph

W⇒8am⇒150+75=225 mph

ST⇒9am⇒130+65=195 mph

W⇒9am⇒225+75=300 mph

The Add both ST and W at 9am is 300+195=495 miles

We have 551 miles between Wormville and Sweet Town.

551-495=56 miles

The trains are 56 apart.

Therefore, at 9:25 am the train get collision.

From Sweet Town they have to send the rescue vehicles.

To learn more about miles visit: https://brainly.com/question/23245414

#SPJ1

The Orange Blossom Special train left Sweet Town at a constant 65 miles per hour at 6:00 a.m. The Early Bird left Wormville at five in the morning, keeping a continuous speed of 75 miles per hour. When a collision occurred at 9:30 am, they had to send the rescue vehicles from Sweet Town.

(a) The exact time that the collision will occur 9:30am

(b) The town should they send the rescue vehicles are Sweet Town.

The Orange Blossom Special left Sweet Town at a constant 65 miles per hour at 6:00 a.m.

The Early Bird left Wormville at five in the morning, travelling at a continuous pace of 75 mph.

Between Sweet Town to Wormville, there are 551 miles.

The precise moment of the collision must be determined.

Let Wormville be W and Sweet Town be ST.

W (Wormville)  ⇒ 5am ⇒75 mph

ST (Sweet Town) ⇒6am ⇒65 mph

W (Wormville) ⇒6am ⇒75 mph

ST  (Sweet Town) ⇒7am ⇒65 mph

W (Wormville) ⇒7am ⇒75+75 = 150 mph

ST  (Sweet Town) ⇒8am ⇒65+65 = 130 mph

W (Wormville) ⇒8am ⇒150+75 = 225 mph

ST  (Sweet Town) ⇒9am ⇒130+65 = 195 mph

W (Wormville) ⇒9am ⇒225+75 =300 mph

At 9:00 a.m., the addition of ST and W is 300+195 miles.

Between Wormville to Sweet Town, there are 551 miles.

551 - 495 = 56 miles

The trains are 56 apart.

Therefore, a train crash occurs at 9:25 am.

They must send the rescue vehicles from Sweet Town.

The trains at 6:00 a.m., the Orange Blossom Special departed Sweet Town at a continuous 65 miles per hour. At 5 a.m., the Early Bird departed Wormville, maintaining a constant speed of 75 miles per hour collision at 9:30am and from Sweet Town they have to send the rescue vehicles.

So,

(a) The exact time that the collision will occur 9:30am

(b) The town should they send the rescue vehicles are Sweet Town

To learn more about visit Miles :

brainly.com/question/11998442  

#SPJ1

Using the midpoint formula, the midpoints of the following are:

(4, √2) and (-2, 5√2) --> M(1, 3√2)

(-⅔, ⅘) and (⅓, ½) --> (-1/6, 13/20)

The formula that is used to determine the coordinates of the midpoint of a line segment is called the midpoint formula, and it is expressed as:

M(x, y) = [(x1 + x2)/2, (y1 + y2)/2]

Find the midpoint between (4, √2) and (-2, 5√2):

Let,

(4, √2) = (x1, y1)

(-2, 5√2) = (x2, y2)

Plug in the values

M(x, y) = [(-2 + 4)/2, (5√2 + √2)/2]

M(x, y) = [2/2, (6√2)/2]

M(x, y) = (1, 3√2)

M(1, 3√2)

Find the midpoint between (-⅔, ⅘) and (⅓, ½):

Let:

(-⅔, ⅘) = (x1, y1)

(⅓, ½) = (x2, y2)

Plug in the values

M(x, y) = [(-⅔ + ⅓)/2, (⅘ + ½)/2]

M(x, y) = [(-⅓)/2, (13/10)/2]

M(x, y) = [(-⅓ × ½), (13/10 × ½)]

M(x, y) = (-1/6, 13/20)

In summary, using the midpoint formula, the midpoints of the following are:

(4, √2) and (-2, 5√2) --> M(1, 3√2)

(-⅔, ⅘) and (⅓, ½) --> (-1/6, 13/20)

Learn more about the midpoint formula on:

https://brainly.com/question/13115533

#SPJ1

Answer:

0.30

Step-by-step explanation:

sum of all probabilities is 1

so:

p(x=4) = 1 - ( 0.01 + 0.04 + 0.10 + 0.12 + 0.30 + 0.11 + 0.01 +0.01)

= 1 - 0.70

= 0.30

Answer:

Answer: 8.717 x 10^8

Step-by-step explanation:

Answer: 8.717 × 10^{8}

Step-by-step explanation:

hope this helps <3