12, 6, 0, -6,
What is the common difference in the following arithmetic sequence

Answer:

This is incomplete, but i will answer it in a general way.

A function is something like y = f(x)

You can think in a function like a "machine", that eats an input (x) and transforms it into an output (y).

The functions have a rule: For all the possible inputs, the function can transform them into only one output.

This means that if we have for an input x1.

f(x1) = y1 and f(x1) = y2

So f(x) maps x1 into two different values, y1 and y2, then this is not a function.

Now, you want to change the point (1, 4) of a relationship in order to transform it into a function (so in the relation R we have two points with x = 1, and differet values of y). Then you need to choose the option that in the x-component does not have the same value that one of the other data points of the relation.

Line segment is limited by two endpoints which also define one.

A Line is not limited to but only exists because of those two endpoints.

Hope this helps.

Answer:

Equation: 5.88/3=p-0.75

The original price for apples was $1.21

Step-by-step explanation:

Equation explanation:

$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price

$5.88 for 3 pounds of apples

we divide 5.88 by 3 to see how much money it was per pound

5.88/3=1.96

subtract 1.96 from the price increase of .75

1.96-.75=1.21

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 2 mm

pi ( π ) = 3.14

Finding the area of circle having radius of 2 mm

Area of circle [tex] \sf{ = \pi \: {r}^{2} }[/tex]

plug the values

⇒[tex] \sf{3.14 \times {2}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{3.14 \times 4}[/tex]

Multiply the numbers

⇒[tex] \sf{12.56 \: {mm}^{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

-2y +29

Step-by-step explanation:

Answer:

-2y+29

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is on the mensuration of solids, a cylinder

Given data

height of cylinder h= 4 cm

diameter d= 9 cm

radius = d/2= 9/2= 4.5 cm

we know that the surface area of cylinder is

[tex]SA= 2\pi r h+ 2\pi r^2[/tex]

Substituting our data into the expression we have

[tex]SA= 2*3.142 *4.5* 4+ 2*3.142 4.5^2[/tex]

[tex]SA= 113.12+ 127.25\\\\SA= 240.37 cm^2[/tex]

Therefore the total surface area is 240.37 cm^2

Answer:

x4-x3-2x2-4x+12

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

=> x4-4x2+4-(x3-2x2+4x-8)

=> x4-4x2+4-x3+2x2-4x+8

=> x4-x3-2x2-4x+12

The value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are [tex]f(x)=x^4-4x^2+4[/tex] and g(x)=x³-2x²+4x-8.

Now, (f-g)(x)=f(x)-g(x)

= ([tex]x^4-4x^2+4[/tex])-(x³-2x²+4x-8)

= [tex]x^4-4x^2+4[/tex]-x³+2x²-4x+8

= [tex]x^4-x^3-2x^2-4x+12[/tex]

Therefore, the value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

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Answer:

17

Step-by-step explanation:

f(x) = 3•2^x

h(x) = 2x-7

f(2) = 3•2^2

= 3•4

= 12

h(f(2)) = 2(12) - 7

= 24 - 7

= 17

Answer:

3y

Step-by-step explanation:

First find the factors of the terms.  You need to then figure out how many factors match.

-9y² = -1 · 3 · 3 · y · y

6y = 2 · 3 · y

3y is the greatest common factor.

Answer:

s = -1

Step-by-step explanation:

8 - 4s = s + 13

-4s - s = 13 - 8

-5s = 5

s = 5/-5

s = -1

probe:

8 - 4*-1 = -1 + 13

8 + 4 = 12

Answer:

B

Step-by-step explanation:

a negative and a negative makes a positive, so in this case, it would be a positive 4.

Answer: C

Step-by-step explanation: 96 divided by 8 will give 12 and you subtract 12 from 2 to the power of 3 and it will give 4.

2 to the power of 3= 2×2×2=8

(96÷8)-2³=12-2³

              =12-8

              =4

Answer:

The answer is 4

Step-by-step explanation:

1+1+1+1=4

Answer: A. They are both incorrect

Step-by-step explanation:

x=3√2

y=6

z=3√2

-----------------------

45-45-90=1:1:√2

------------------------

solve for x

x is the side accordingly to 90 in the smaller triangle, so it should be the [45] side times √2

3×√2=3√2

-----------------------

solve for y

y is the side accordingly to 90, so it should be the [45] side times √2

3√2×√2=6

----------------------

solve for z

z is the side accordingly to 45 in the bigger triangle, x is also accordingly to 45 in the bigger triangle

z=x

z=3√2

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

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Answer: i) Q=7*P   ii) if P=5 => Q=35 iii) if Q=42 => P=6

Step-by-step explanation:

Q is directly prportional to P that means that

Q/P=k=const ( where k is the prportionality coefficient)

So k= 28/4=7

So i)  Q= 7*P

ii) Q=5*7=35 if P=5 =>Q=35

iii) P=42/7=6   if Q=42 => P=6

Answer:

C) Flower color.

Step-by-step explanation:

Quantitative variables are things that can be measured. A garden hose's length is measured in meters or feet. You measure the rainfall for a day in millilitres or liters. The weight of books on a shelf is measured in pounds or grams.

Categorical variables are often descriptions, such as C) Flower color.

Hope this helps!

Flower colors, generated from anthocyanins, flavonoids, or carotene which draw bone, trichromats, photoreceptor cells, tri- or tetrachromats butterflies & birds, that are supersensitive, blues, as well as green.

Therefore, the "Option C" is the only correct answer.

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Answer:

[tex]3\frac{1}{2}-rational[/tex]

[tex]\pi -irrational[/tex]

[tex]-\frac{2}{3}-rational[/tex]

[tex]\sqrt{16} -rational[/tex]

[tex]\sqrt{3} -irrational[/tex]

[tex]18-rational[/tex]

[tex]0.625-rational[/tex]

[tex]0.987987987...-rational[/tex]

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers  [tex]\frac{a}{b}[/tex] , [tex]b\neq 0[/tex]

-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]

-include repeating decimals. For example, [tex]\frac{1}{3} =0.33333....[/tex]

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2}=1.414213....[/tex]

-cannot be written as quotients of integers

Answer:

3720087

Step-by-step explanation:

Given that,

A geometric sequence : 567,-189,63

First term is : 567

Common ratio : 567/-189 = -3

The nth term of a GP is given by :

[tex]a_n=ar^{n-1}[/tex]

n = 9

So,

[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]

So, the 9th term of the geometric sequence is 3720087.

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

Answer:

x^2+14x+40

Step-by-step explanation:

xx+x*10+4x+4*10= xx+10x+4x+4*10

Then simplify

x^2+14x+40

I hope this helps!

Answer:

[tex]A=135.37\ \text{inch}^2[/tex]

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, [tex]\theta=135^{\circ}[/tex]

We need to find the area of the sector.

The formula is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2[/tex]

So, the area of the sector is [tex]135.37\ \text{inch}^2[/tex].

Answer:

The answer is

Step-by-step explanation:

First term 8. I am a 100% sure.

Hope this helps....

Have a nice day!!!!

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

Answer:

Coefficents of 2-x: 2, -1.

The answer is 2 or -1, but I don't have choices.

Answer:

-1

Step-by-step explanation:

The coefficient is the number in front of the variable along with the sign

2 + -1x

The coefficient is -1

Answer:

The height of the spire must be 69.24 m

Step-by-step explanation:

The information given are;

The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°

The  angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°

The change distance moved closer to the church spire = 100 m

Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°

We have;

∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)

Therefore;

∠x° = 180° - 55° = 125°

The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow

Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y

Therefore;

125° + y° + 25° = 180 (Angle sum theorem)

y° = 180° - (125° + 25°) = 30°

By sin rule, we have;

100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))

Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l

100/(sin (30°)) = l/(sin(125°))

l = (sin(125°))×100/(sin (30°)) = 163.83 m

The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m

The height of the spire = 69.24 m.

Answer:

Explained below.

Step-by-step explanation:

In this case we need to form two group of cards (consisting of any number of cards) having the same sum using the cards numbered as 8, 7, 6, 2, 1, 3.​

The possible groups are as follows:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

{8, 2, 3}                 {7, 2, 1, 3}                  13

{8, 3, 2, 1}              {7, 6, 1}                      14

And so on.

Hello!

Answer:

[tex]\huge\boxed{x = 1/2, 9/2}[/tex]

|2x - 5| = 4

Solve for the negative and positive expressions:

2x - 5 = 4

2x = 9

x = 9/2

------------

-(2x - 5) = 4

-2x + 5 = 4

-2x = -1

x = 1/2.

Therefore, the solutions are x = 1/2 and 9/2.

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Step-by-step explanation:

i don't have an explanation though

Answer:

The theory of midpoint theorem is used in coordinate geometry stating that the midpoint of the line segment is an average of the endpoints. Both the ‘x’ and the ‘y’ coordinates must be known for solving an equation using this theorem. The Mid- Point Theorem is also useful in the fields of calculus and algebra.

Step-by-step explanation:

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

---------------

Since the proportions are equal:

[tex]\frac{40}{150} = \frac{176}{x}[/tex]

[tex]40x = 150\times176[/tex]

[tex]x = \frac{150\times176}{40}[/tex]

[tex]x = 660[/tex]

The total number of nails in Susan's box was 660.

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