A(n)=-5+6(n-1).. what’s the 12th term?

Answer:

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Step-by-step explanation:

the equation of a straight line is;

y = mx + c

where;

x and y are any point on the line

m is the slope of the line

c is the intercept on the y axis

And a given point on (x,y) can be written as (x₁, y₁)

Therefore, for the case above;

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Answer:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.

Step-by-step explanation:

Stratified sampling involves grouping the population into subgroups before sampling. It provides a more manageable and cheaper means of sampling data by placing the population into grouped strata. The only problem is that this sampling method cannot be used in a data population that cannot be stratified. In this question, the phone book is stratified into subgroups of every five pages, and the third person listed is chosen to represent the subgroup

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

16

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

64

Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

Answer:

49.87% of the population has a heart rate between 68 and 77.

Step-by-step explanation:

We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.

Let X = the data for the resting heart of adults

The z-score probability distribution for the normal distribution is given by;

                          Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 68 beats per minute

           [tex]\sigma[/tex] = standard deviation = 3 beats per minute

Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)

    P(68 < X < 77) = P(X < 77) - P(X [tex]\leq[/tex] 68)

    P(X < 77) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{77-68}{3}[/tex] ) = P(Z < 3) = 0.9987

    P(X [tex]\leq[/tex] 68) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{68-68}{3}[/tex] ) = P(Z [tex]\leq[/tex] 0) = 0.50

The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.

Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%

Answer:

There are two answers, c=20.2 or c=1.0

Step-by-step explanation:

The value of c is 20.2 units

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.

The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:

find any angle of the triangle when a, b, and c are given.

There are three laws of cosines and we choose one of them to solve our problems depending on the available data.

As,

m∠A=15°, a=10, and b=11.

Now, using cosine rule

cos A = b² + c² - a²/ 2bc

cos 15 = 121+ c²-100/22c

0.96 = 121+ c²-100/22c

21.25 c = 21 + c²

21 + c² - 21.25 c=0

By solving the quadratic equation

c=20.2 units.

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Answer:

You need to give more information.

Step-by-step explanation:

Answer:

A) y = 3x - 1.

B) y = -1/5x + 10.

C) y = -3x + 6.

Step-by-step explanation:

A) It is parallel, so it will have the same slope of 3. The y-intercept is -1.

So, we have y = 3x - 1.

B) It is perpendicular, so it will have the negative reciprocal slope of -1/5.

To find the y-intercept, put the points into the equation.

8 = -1/5(10) + b

8 = -2 + b

b - 2 = 8

b = 10

So, we have y = -1/5x + 10.

C) It is perpendicular, so the slope will have a negative reciprocal of -3. The x-intercept is 2, so it has a point at (2, 0). We put that into the equation.

0 = -3 * 2 + b

0 = -6 + b

b - 6 = 0

b = 6

So, we have y = -3x + 6.

Hope this helps!

Answer:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = 3x + 5

Comparing with the above formula

Slope / m = 3

y intercept = - 1

Since the lines are parallel their slope are also the same

Substituting the values into the formula

We have the final answer as

y = 5x - 1

Slope / m = 5

Since the lines are perpendicular the slope of the line is the negative inverse of the original line

That's

m = - 1/5

Equation of the line using point (10, 8) is

y - 8 = -1/5( x - 10)

y - 8 = -1/5x + 2

The final answer is

y = ⅓x + 4

Slope / m = ⅓

Since the lines are perpendicular the slope of the line is the negative inverse of the original line

That's

m = - 3

Equation of the line using point (2,0) is

y - 0 = -3( x - 2)

We have the final answer as

Hope this helps you

Answer:

Yes, this function can be defined by linear model.

Step-by-step explanation:

[tex]\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}[/tex]

[tex]\mathrm{Linear:}\:\:T=\:$25+30h[/tex]

Best Regards!

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!

w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.

For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.

Answer: $8

Step-by-step explanation: $120+10%=$132. $140-$132=$8.

Answer:

The answer is 1/5 + z = 3/5

Step-by-step explanation:

Answer:

1/5+z=3/5

Step-by-step explanation:

Answer:

3, 8, 12, 12, 14, 20, 21, 23, 26, 34

stem         leaf

0               3     8

1                 2     2       4               (you have 12,12,14)

2                0      1       3        6    ( numbers 20,21,23,26)

3                 4                               ( number 34)

Answer:

C. 3

Step-by-step explanation:

C&D, A&F, K&J

The pairs of points are reflections across the x-axis will be 3. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.

Therefore, the pairs of points that are reflections across the x-axis will be 3.

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Answer:

y = -2/3x - 2

Step-by-step explanation:

Step 1: Find slope m of perpendicular line

Simply take the negative reciprocal of the given line

m = -2/3

y = -2/3x + b

Step 2: Find b

6 = -2/3(-12) + b

6 = 8 + b

b = -2

Step 3: Rewrite perpendicular equation

y = -2/3x - 2

Answer:

Angle x is 75 degrees because 180-105 = 75  so the angle next to 105 is the alternate exterior angle to angle x which means they are equal

Step-by-step explanation:

Answer:

a) 75 deg

b) see below

Step-by-step explanation:

a)

x + 105 = 180

x = 75

b) <x and <ABF are supplementary since they are a linear pair, so

x + m<ABF = 180

Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.

m<ABF = m<EFG

x + m<EFG = 180

x + 105 = 180

x = 75

Answer:

to find the slope of a linear function, there is only one formula

this formula requires two points, which are stated in tables and graphs alike

these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.

Formula for Slope:

this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots

make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1

It is important to remember that if this becomes a fraction, SIMPLIFY

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a table for the function as -

{x}   0   4

{y}   5   9

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0)

Therefore, we can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

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Answer: The answer is D.

Step-by-step explanation: Ok, we start by simplifing the equation to 3√x^2 - 3√x=2. Now, by plugging the possible options in, we can find the answer. You find that -1 is a possible answer for x, so that eliminates E. Since there is no cube root for 2, we elimate A and B. By plugging in C and D, you find that C=6, not C=2. So D must be the answer.

Answer:

The lengths 14, 24, and 26 cannot be the sides of a right triangle.  The lengths 30, 72, 78 can be the sides of a right triangle.

Step-by-step explanation:

To prove that the lengths 14, 24, and 26 cannot be the sides of a right triangle:

a=14, b=24, c=26

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 14^2+24^2=26^2

simplify: 196+576=676

simplify again: 772=676, which is not true

This proves that the lengths 14, 24, and 26 cannot be the sides of a right triangle.

To prove that the lengths 30, 72, and 78 can be the sides of a right triangle:

a=30, b=72, c=78

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 30^2+72^2=78^2

simplify: 900+5184=6084

simplify again: 6084=6084, which is true

This proves that the lengths 30, 72, and 78 can be the sides of a right triangle.

Answer:

true, true, false,false,  false,true,true,false

See explanations below

Step-by-step explanation:

If three sides can make a RIGHT triangle, then the sum of squares of the two shorter sides EQUALS the square of the third side, using the Pythatorean theorem.

Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?

The lengths 14, 24 and 26 cannot be sides of a right triangle.

TRUE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 can be sides of a right triangle.

TRUE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 can be sides of a right triangle.

FALSE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 cannot be sides of a right triangle.

FALSE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 can be sides of a right triangle.

FALSE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 can be sides of a right triangle.

TRUE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 cannot be sides of a right triangle.

TRUE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 cannot be sides of a right triangle.

FALSE, A^2+B^2-C^2= 0

Answer:

f(n + 1) = f(n) + 20

Step-by-step explanation:

Let f(x) equals their pay at every hour of X

Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say

1 hour work=$20

Then additional 1hour+ n= $20 + n

Hence,f(n+1)=f(n)+20

Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 35[/tex]

Given that x = -9

=> [tex]7(-9) -2y = 35[/tex]

=> [tex]-63-2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = -49[/tex]

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.

Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.

We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.

Since, there are 3 possibilities, either Jim win or Renee or its a tie.

So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .

Answer:

397.7 m²

Step-by-step Explanation:

The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)

Where, a and b, are the lengths having an included angle (θ), in between them.

To find area of ∆UVW, we need m < V, side lengths of UV and VW.

m < V = 113°

VW = 29 m

UV = ?

Step 1: find UV using the Law of sines

[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]

W = 34° [180 - (113+33)]

U = 33°

VW = 29 m

UV = ?

[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]

Multiply both sides by sin(34)

[tex] \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = 29.8 m [/tex]

Step 2: find the area of the triangle

Area = ½*a*b*sin(θ)

a = 29.8 m

b = 29 m

θ = 113°

Area = ½*29.8*29*sin(113)

Area = 397.7 m² (nearest tenth)

Answer:

x = -5

Step-by-step explanation:

-7(x + 2) = 21​

Divide each side by -7

-7/-7(x + 2) = 21​/-7

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer:

x = -5

Step-by-step explanation:

distribute: -7x-14 = 21

add 14 to both sides

divide by -7

x = -5

Step-by-step explanation:

[tex]6x - 30 = 5(x - 4)[/tex]

[tex]6x - 30 = 5x - 20[/tex]

[tex]6x - 30 - 5x = - 20[/tex]

[tex]x - 30 = - 20[/tex]

[tex]x = - 20 + 30[/tex]

[tex]x = 10[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

The axis of symmetry, vertex, degree of polynomial and x and y intercepts

Step-by-step explanation:

When we talk of a polynomial function, we refer to a function that involves only non-negative integer(whole number) powers of the independent variable (x in most cases). Thus, popular examples of polynomial functions include quadratic, cubic and triatic functions.

Kindly note that once a function includes a non negative power, it is not a polynomial any longer. That is why although x^2 + 2x is a polynomial function, x^2 + 2x^-1 is not a polynomial function.

Now, there are some key features that are necessary in sketching a polynomial function.

These are the vertex, axis of symmetry, x and y intercepts and the degree of the polynomial

These properties are needed to successfully make a sketch of a polynomial function.

The vertex of a polynomial function refers to that point on the curve of the function where it changes direction. For example, quadratic polynomial functions are known to have a parabolic sketch. That point in which there is a change in direction of the parabolic curve is known as the vertex of the polynomial function. A knowledge of this would ensure a proper sketch of the polynomial function curve. It helps in showcasing the concavity of the function.

The axis of symmetry applies to polynomials with even degrees. A polynomial function with an axis of symmetry will have mirror images on each side of a line that directly cuts through the polynomial.

The x and y intercepts talks about the points at which the function touches the axes of the plot

The degree of the polynomial helps to find the end behavior of the polynomial. The degree of a polynomial refers to the highest power to which the independent variable is raised. It is an important factor in determining if a polynomial function sketch will possess an axis of symmetry.

Answer:

work is shown and pictured