Complete the table of values for equation y=5-2x

Answer:

(10^x/6)(10^x/8)=10^10

Exact Form: 6/253

In Decimal Form (rounded off): 0.02

Hope it helps! :)

Since consecutive terms differ by a constant k in this sequence, we have

[tex]a_8 = a_7 + k[/tex]

[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]

[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]

and so on down to

[tex]a_8 = a_1 + 7k[/tex]

Solve for k :

14 = 49 + 7k   ⇒   -35 = 7k   ⇒   k = -5

We then do the same as above but in the reverse direction:

[tex]a_9 = a_8+k[/tex]

[tex]a_{10} = a_9+k = a_8+2k[/tex]

[tex]a_{11} = a_{10}+k = a_8+3k[/tex]

and so on, up to

[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]

I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.

Meanwhile, we observe that for -2x √(100x),

• it's only defined for x ≥ 0, and

• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0

In short, this eliminates any non-zero real solution, and we're left with x = 0.

We can arrive at the same result by working with the equation:

√(25x²) + 2x √(100x) = 0

5|x| + 20 x√x = 0

since √(x²) = |x| for all x.

Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.

• If x ≥ 0, the equation reduces to

5x + 20 x√x = 0

5x (1 + 4√x) = 0

5x = 0   or   1 + 4√x = 0

x = 0   or   √x = -1/4

But √x ≥ 0 for x ≥ 0, so we throw out the second solution.

• If x < 0, the equation instead reduces to

-5x + 20 x√x = 0

-5x (1 - 4√x) = 0

-5x = 0   or   1 - 4√x = 0

x = 0   or   √x = 1/4

x = 0   or   x = 1/16

But we assumed x is negative, so we throw out both choices and get no solution for this case.

The question is an illustration of a linear function, and the value, v, of the coin after a year of owning it is (b) V = 6a + 76

The given parameters are:

A linear function is represented as:

y = mx + c

Where m represents the rate, and c represents the initial value

This means that:

m = 6 and c = 76

So, we have:

y = 6x + 76

In terms of a and V, we have:

V = 6a + 76

Hence,  the value, v, of the coin after a year of owning it is (b) V = 6a + 76

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The values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9.

We have given the polynomial w^2 - 11w + 18

First  to find the factor form and then

To determine the value of a and b

The Polynomial is an expression that involves only the operations of addition, subtraction, and multiplication of variables.

The given the polynomial is w^2- 11w + 18

= w^2 - 9w - 2w + 18

= w(w - 9) -2(w - 9)

= (w - 2)(w - 9)

This implies that a=2 and b=9

Therefore, the values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9

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Answer:

a=2 b=9

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Always do parentheses first.

So 39-3=36

Then 36+6+3power of 2

36+6=42

42+3 power of 2

3 times 3 = 9

42+9=51

Answer:

51

Step-by-step explanation:

I got it right on the test

Answer:

The answer would be 75.4 (rounded to nearest 10th)

Step-by-step explanation:

Step 1. Multiply the radius (12) by 2 to get 24.
Step 2. Do 24π
Step 3. Get the answer of 75.3982236862
Step 4. Round to 75.4
Hope this helps! :)

Answer:

C ≈ 75.4 m

Step-by-step explanation:

using the formula C = 2πr , then

C = 2π × 12 = 24π ≈ 75.4 m ( to 1 dec. place )

If the sample size gets larger, the size of the correlation that is needed for significance will get smaller.

As the sample size gets larger, it's characteristics will become more and more like the population it is derived from which makes predictions more accurate.

As a result, the correlation size that is needed to decide significance will reduce. This tallies with the characteristic of the correletion coefficient to be lower when the sample size is greater.

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Answer:

Sophie is 2 and 8 months old

Jasmyn is 6 and 8 months old

Step-by-step explanation:

j = 4 + s

3j + 6s = 36

Solve for Sophie's age by substitution:

3(4 + s) + 6s = 36

12 + 3s + 6s = 36

12 + 9s = 36

9s = 24

s = 24/9 = 8/3 or 2 and 2/3

Sophie is 2 and 8 months old

Solve for Jasmyn's age:

j = 4 + s

j = 4 + 8/3

j = 12/3 + 8/3

j = 20/3 or 6 and 2/3

Jasmyn is 6 and 8 months old

I hope this helps!

Answer:

10

Step-by-step explanation:

Answer:

y = 38 + 72t - 16t^2

Step-by-step explanation:

So, solve for t when y=48.

The max height is of course, when t = 64/32 = 2.

Answer:

C. $10.80

Step-by-step explanation:

Lets solve for first 30% discount

120/ 10 =12 (divided by 10 to get 10% of the whole)

12= 10% of 120

36= 30 % of 120 (multiplied by 3 to get 30%)

120-36= 84

Lets solve for second 30% discount

84/10 =8.4 (divided by 10 to get 10% of the whole)

8.4= 10% of 84

25.2 = 30% of 84 (multiplied by 3 to get 30%)

84-25.2=58.80 (subtracted the discount from the total to get the sale price)

Let's solve for what it would cost had they done 60% to begin with

120/10 = 12 (divided by 10 to get 10% of the whole)

12= 10% of 120

72= 60% of 120 (multiplied by 6 to get 60%)

120-72 = 48 (subtracted the discount from the total to get the sale price)

Let's solve for the difference between the two

58.80-48= 10.80

Answer:

I believe the answer is 112.75 in2

Step-by-step explanation:

Friend is smart

The correct option is  D  they will have the same volume.

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

They both have the same height, assuming that each coin has same volume, then how can coins in 1 stack have different volume than coins in another stack no matter how you stack them.

Like two cylinders with same base area and height have same volume. Like wise rectangle and parallelogram with same base and same perpendicular height having same area.

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Answer:

DDDDDDDDD is your Answer

Step-by-step explanation:

Answer:

i d k

Step-by-step explanation:

we cant see your figure so

Answer:

r=C/2pi

r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831

given that C= 32, therefore r=32/6.2831 =5.0930.

A pair of equations best models the relationship between g and w are  g = w + 8, and g = w - 4 option second is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.

We have :

Variable g is 8 more than variable w, mathematically we can write it as:

g = w + 8  ....(1)

Also, variable g is also 4 less than variable w, mathematically we can write it as:

g = w - 4   ....(2)

The equation (1) and equation (2) are representing the system of linear equation in two variables.

So, we have framed two linear equation, that is:

g = w + 8  and

g = w - 4

Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.

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Answer:

b

Step-by-step explanation:

The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Suppose that we've got:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, this function has:

For this case, we're given that:

All the options are of cosine function, so let the function be:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, as per the given data about max and min. values, we get:

d+a=1

d-a = -3

Adding both equations,

2d = -2 => d = -1

Thus, -1+a = 1, and therefore a = 2

Since it goes through 1 cycle at pi, so its period = π

Thus, we get:

[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]

Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.

Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

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Answer:

C) y = -2cos(2(x + π)) -1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

y-2

Step-by-step explanation:

x+3/3=y+2/2

cross multiply

2(x+3)=3(y+2)

2x+6=3y+2

2x=3y+2-6

2x=3y-4 (divide both sides by 2)

2x/2=3y-4/2

x=3y-2

therefore substitute x=3y-2 into x/3

3y-2/3

=y-2

The answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.

By definition, the equation of movement in its generic form is given by:

[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]

Where,

g: acceleration due to gravity

[tex]v_o[/tex]: initial speed

[tex]h_o[/tex]: initial height

The equation for the arrow is given by:

[tex]h=4+32t-16t^2[/tex]

Then, according to the definition, the initial velocity of the arrow is:

[tex]v_o=32 \ \dfrac{m}{s}[/tex]

Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

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Answer:

Step-by-step explanation:

d on edge i took the test

Answer:

13

Step-by-step explanation:

The formula for cirmference is

C= π2 * r

we're using 3.14 as pi and r = radius.

the radius is always half of the diameter.

So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.

C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.

Hope this helps :)

Answer:

III ONLY

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Answer:

not answered this question

Kajal's expected value of playing this game is -$1

The given parameters are:

There are 26 black cards in a standard 52 card decks.

So, we have:

P(Black) = 26/52

There are 6 face cards that are not black in a standard 52 card decks.

So, we have:

P(Face card and not black) = 6/52

There are 20 other cards not in the above categories.

So, we have:

P(Others) = 20/52

The expected value is then calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

E(x) = 5 * 26/52 + 3 * 6/52 -  10 * 20/52

Evaluate the products

E(x) = 130/52 + 18/52 -  200/52

Evaluate the sum and difference

E(x) = (130 + 18 -  200)/52

This gives

E(x) = -52/52

Evaluate

E(x) = -1

Hence, Kajal's expected value of playing this game is -$1

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The solution is Option C.

The area of the triangle is 21.5 square units

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the triangle be A

Let the height of the triangle be H

The value of H = 7 units

Let the base of the triangle be B

The value of B = 6 units

Now , the area of the triangle is given by the equation

The area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

Area of Triangle = ( 1/2 ) x 7 x 6

Area of Triangle = 1/2 x 42

Area of Triangle = 42/2

Area of Triangle A = 21.5 square units

Therefore , the value of A is 21.5 units²

Hence , The area of the triangle is 21.5 square units

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Answer:

Step-by-step explanation:

Defining CB

CB is not the hypotenuse of triangle ABC. The hypotenuse is the longest side of any right triangle. CB is the other side other than the hypotenuse that makes up <C. It is the adjacent side because AC and CB make up angle C.

Defining Cos(C)

All of this makes up what you need to know to define the Cos(C)

Cos (C) = adjacent side / hypotenuse.

adjacent side = 6

Hypotenuse = 10

Cos(C) = 6/10

Answer: B

Answer:

Step-by-step explanation:

3

A ray of an angle that rotates about the center is called terminal arm of that angle.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

One arm is fixed, and one arm rotates around that vertex to make angles of different different measurements.

The fixed arm is called initial arm/initial side.

The moving arm is called terminal arm/terminal side.  

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Thus, a ray of an angle that rotates about the center is called terminal arm of that angle.

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Answer: 39

Step-by-step explanation: PEMDAS