5, 80, 1280, 20480, 327680, ...

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

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The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

2/5

Step-by-step explanation:

Answer:

\(\dfrac{9\pm \sqrt{33}}{4} \longrightarrow \boxed {2x^2\:-\:9x+6=0}}\)

\(\dfrac{4\pm \sqrt{6}}{2} \longrightarrow \boxed{2x^2 - 8x +5=0}\)

\(\dfrac{9\pm\sqrt{89}}{4} \longrightarrow \boxed{2x^2\:-\:9x-1=0 }\)

\(\dfrac{4\pm \sqrt{22}}{2} \longrightarrow \boxed{2x^2\:-\:8x-\:3=0}\)

Step-by-step explanation:

Use a quadratic equation solver calculator

Here are the roots for each equation

Equation                          Roots

\(2x^2 - 8x +5=0\quad\quad\quad \quad \dfrac{4\pm \sqrt{6}}{2}\)

\(2x^2\:-\:10x-\:3=0\quad\quad\quad \dfrac{5\pm \sqrt{31}}{2}\)    

\(2x^2\:-\:8x-\:3=0\quad\quad\quad \dfrac{4\pm \sqrt{22}}{2}\)

\(2x^2\:-\:9x-1=0 \quad\quad\quad \dfrac{9\pm\sqrt{89}}{4}\)

\(2x^2\:-\:9x+6=0\quad\quad\quad \dfrac{9\pm \sqrt{33}}{4}\)

The quadratic equations are solved and the tiles are matched with the following equations

a) 2x²- 8x + 5 = 0 → x = ( 4 ± √6 ) / 2

b) 2x² - 8x - 3 = 0 → x = ( 4 ± √22 ) / 2

c) 2x² - 9x - 1 = 0 → x = ( 9 ± √89 ) / 4

d) 2x² - 9x + 6 = 0 → x = ( 9 ± √33 ) / 4

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a)

2x²- 8x + 5 = 0

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

x = ( 4 ± √6 ) / 2

b)

2x² - 8x - 3 = 0

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

x = ( 4 ± √22 ) / 2

c)

2x² - 9x - 1 = 0

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

x = ( 9 ± √89 ) / 4

d)

2x² - 9x + 6 = 0

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

x = ( 9 ± √33 ) / 4

Hence , the quadratic equations are solved

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The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

Option D is the correct answer.

We have,

We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Slope.

m = (y2 - y1) / (x2 - x1)

= (-6.4 - 8) / (-2.2 - 5)

= (-14.4) / (-7.2)

= 2

Next, we can use one of the two given points and the slope to write the equation of the line in the point-slope form:

y - 8 = 2(x - 5)

Expanding the right side and simplifying.

y - 8 = 2x - 10

y = 2x - 2

Therefore,

The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

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The point in Figure 2 that corresponds to point L in Figure 1 is the midpoint of line segment NP.

When two figures are congruent, it means that they have the same shape and size. This implies that corresponding points in the two figures have the same position and distance from each other.

In Figure 1, the points I, J, L, K, N, P, and Q are labeled. To find the point in Figure 2 that corresponds to point L, we need to look for a point that has the same relative position and distance as point L in Figure 1.

From Figure 1, we can see that point L is the midpoint of the line segment JK. Therefore, to find the corresponding point in Figure 2, we need to look for a point that is the midpoint of the line segment that corresponds to JK. In Figure 2, the line segment that corresponds to JK is NP, and the midpoint of NP corresponds to the point that is equivalent to point L. Therefore, the point that corresponds to point L in Figure 2 is the midpoint of line segment NP.

It is important to note that identifying corresponding points in congruent figures is a fundamental concept in geometry and is often used to solve problems involving congruence and similarity.

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Answer:

17 for x

Step-by-step explanation:

pls give me brainliest im almost lvled up

Answer:x=\(\frac{c+b}{a}\)

ax-b=c

add b

ax-b+b=c+b

ax=c+b

divide a

ax÷a=c+b÷a

x=\(\frac{c+b}{a}\)

I hope this is good enough:

Answer:

Inequalities if it has \(\leq or \geq \\\) symbols

Equations if it has =

Step-by-step explanation:

Answer:

θ =  60 degrees

If needed in radians:

θ = π/3

Step-by-step explanation:

2cos(θ) = 1

We are solving for theta.

We can divide 2 on both sides.

2cos(θ) = 1

/2             /2

cos(θ) = 1/2

Now we can use Inverse of cosine to isolate theta.

θ \(= cos^-^1(1/2)\)

θ =  60 degrees

If needed in radians:

θ = π/3

The pair 6 and 8 are linear pair as their angles are adjacent and  supplementary.

Perpendicular lines are lines that intersect at a right angle (90 degrees). In the given figure, we have several angles labeled frοm 1 tο 8. Angles 1 and 5 are adjacent angles, which means they share a cοmmοn vertex (pοint where twο lines meet) and a cοmmοn side (line segment between twο adjacent angles).

Nοw, if we add the measures οf angles 6 and 8, we get:

angle 6 + angle 8  = 180°

We knοw that when the measures οf twο angles add up tο 180 degrees, they are called supplementary angles. And when twο adjacent angles are supplementary, they fοrm a linear pair.

Here, from the given options only angle 6 and angle 8 are linear.

Thus, The pair 6 and 8 are linear pair as their angles are adjacent and  supplementary.

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Answer:

o to http://

Step-by-step explanation:

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer: If you mean 7 times 8 that is 56

Other expressions that are equal

- 56 times 1

- 1 times 56

- 2 times 28

- 4 times 14

Answer:

13,500

Step-by-step explanation:

1925 x 7 = 13,475

13,475

5 and up means round up so we start at the ones place.

13,500

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

y = 4x + 9

Step-by-step explanation:

First, find the slope of the line, which is the change in y/the change in x:

(-11-1)/(-5-(-2)) = -12/-3 = 4

That leaves you with the equation:

y = 4x

But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:

y = 4x + 9

I hope this helped.

Answer:

Step-by-step explanation: -15/9 my teacher told me

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

?

Step-by-step explanation:

I need to see a picture of the triangle so i could be able to do the math

Answer:

what is the triangle I need a diagram showing it

Step-by-step explanation:

a a a s a

Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

Answer:

a+b=6

a-b =4

______subtract

(a-a)+(b-(-b))=6-4

0+2b = 2

b= 1

put the value of b at any equation

a+1 =6

then a=6-1=5

a square+b square= 25+1= 26

Answer:

D : { -3, 3, 12}

Step-by-step explanation:

I would suggest substituting the range for the function and solving for x like so.

i.e -6 = 1x-3, -6 + 3 = 1x -3 + 3, -3 = x, x = -3.

0 = 1x - 3, 0 + 3 = 1x - 3 + 3, 3 = x, x = 3.

9 = 1x - 3, 9 + 3 = 1x -3 + 3, 12 = x, x = 12

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

x 0123

y 4-8-8-10 yeah this is it

Only table {1} and table {4} represent the quadratic functions.

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 to find the tables that represent the quadratic functions.

A quadratic function is a function of degree 2. The quadratic function have two possible roots. In general form, we can write the quadratic function as -

y = f{x} = ax² + bx + c

If b = c = 0 & a = 1, then we can write the function as -

y = f(x) = x²

Refer to the tables. Only table {1} and table {4} represent the quadratic functions.

Therefore, Only table {1} and table {4} represent the quadratic functions.

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Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.