. A student usually saves $20 a month. He would like to reach a goal of saving $350 in
12 months. The student writes the equation 350=12(x+20) to represent this situation.
Solve the equation for x
• Show your work or explain your answer.
.
Write your answer as a sentence that describes what the variablex represents.
Enter your answers and your work or explanation in the box provided.
X+20)

Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

A linear expression is in polynomials when it is expressed as the product of it's factor

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

When two linear factors are expressed together the result forms a polynomial.

A polynomial is an expression in which the power of it's variable is higher than 1. quadratic expression is also an example of polynomial.

For example if an expression is given as (x+2)(x+3). The result of the expression will give x²+5x+6 which is a quadratic expression and a polynomial.

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The  amount of taxes owed on a taxable income of $49,652 is 10,293.44.

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.

For instance, if a person has a taxable income of $24,750, they will pay taxes on the first $19,900 of that income at a rate of 10%, and on the remaining $5,000 at a rate of 12%.

Given:

Income= $49652

The above amount lies in the range of 41176- 89075 which has tax rate pf 22%.

So, the amount of taxes

= 49652 x 22%

=49652 x 22/100

= 49652 x 0.22

= 10,293.44

Hence, the amount of taxes owed on a taxable income of $49,652 is 10,293.44.

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Answer:

$6,600.44

Step-by-step explanation:

$49,652 falls into the 22% bracket.

Basically you take the taxable amount from each bracket and then multiply each by the corresponding marginal tax rate.

Then we take the income $49,652 and subtract it by the maximum of the last tax bracket which would be $41,175.

$49,652 - $41,175 = $8,477.

Multiply this by 22% = 1,864.94 then add the other brackets' taxes owed which should total to $6,600.44

Answer:

its 85 ...................

Answer:

The answer would be 84%.

Answer:

I took the test and It is 84%

Step-by-step explanation:

if this was helpful please make sure to mark as brainliest. thank you

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

EXPLANATION:

expand the parenthesis.  and then add like terms (put the x's on one side) and then dived to get x on its own!

Answer:

d I think please be right

The possible length of the region after solving the quadratic equation is either 170ft or 50ft.

What is a quadratic equation?

A quadratic equation in algebra is any equation that can be written in the simpler form where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; an equation with a = 0 is thought to be degenerate because they become linear or even simpler.

Solution Explained:
Lets assume, length = x and width = y

So we know, the area and perimeter is supposed to be 8500 and 440 respectively

we form the equations,

1) 8500 = xy , and                       [Area = length*width]

2) 440 = 2(x + y)                           [ Perimeter = 2(length +width)]

   220 = x + y

So, x = 8500/y (from equation 1) and put the value of x in 2

220 = x + (8500/x)

After solving this we get the quadratic equation,

x^2 - 220x + 8500 = 0

Solving the equation, we get

x = 170 or, x = 50 which are the two possible lengths of the region.

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Answer:

Wait I don't understand the question... It looks like it is already answered- :(

Step-by-step explanation:

The price of a watch is $250, the price of a radio is $500, and the price of a fan is $1,000, which is twice the price of a radio.

The unit process is a method for addressing issues that entails first figuring out the value of a particular unit, then multiplying the said value to figure out the features offered. Simply put, the unit method is used to derive a single unit value from with a multiple that is supplied. For example, 40 writers would costing 400 rupees, which is equal to the price within one pen. This procedure could adhere to a standard procedure. a single nation. anything has a distinct identity. Its homologue s reciprocal are equal in terms of mathematics, algebra, mathematical physics, applied mathematics, or mathematical skills of matrices or operators.

given

let the cost of watch be x

cost of radio = 2x

cost of fan = 2*2x

total cost of three items = 1750

= x+ 2x + 4x = 1750

= 7x = 1750

x = 250

The price of a watch is $250, the price of a radio is $500, and the price of a fan is $1,000, which is twice the price of a radio.

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The value of the constant "k", which make the given pdf valid is 6/17 .

Let x be the amount of water flowing through the Dabney dam;

The Probability Density Function(pdf) of x is given as

⇒ f(x) = {  k           , 0≤x≤2

             (1/3)k       , 2<x≤4

             (1/6)k       , 4<x<5

We know that for a valid p.d.f. \(\int\limits^{\infty}_{-\infty} {f(x)} \, dx\) = 1 ;

Substituting the functions for the different intervals ,

We get;

⇒ \(\int\limits^{0}_{-\infty} {0} \, dx\) + \(\int\limits^{2}_{0} {k} \, dx\) + \(\int\limits^{4}_{2} {\frac{1}{3} k} \, dx\) + \(\int\limits^{5}_{4} {\frac{1}{6} k} \, dx\) + \(\int\limits^{\infty}_{5} {0} \, dx\) = 1 ;

⇒ 0 + [kx]²₀ + [kx/3]⁴₂ + [kx/6]⁵₄ + 0 = 1 ;

⇒ 2k + (k/3)(4-2) + (k/6)(5-4) = 1 ;

⇒ 2k + 2k/3 + k/6 = 1 ;

⇒ (12k + 4k + k)/6 = 1;

⇒ 17k/6 = 1;

⇒ k = 6/17.

Therefore, the value k=6/17 will make the pdf valid.

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The given question is incomplete, the complete question is

A water valve controls the amount of water flowing through the Dabney dam. The probability for the water flow is uniform between 0 and 4 b/s (barrels per second), uniform between 4 and 9 b/s, and uniform between 9 and 14 b/s. The water flow cannot be 14 b/s or greater. The probability of being in the second range is half of the first range. The probability of being in the third range is a fifth of of being in the first range.

In other words, the pdf looks like this:

f(x) = {  k           , 0≤x≤2

           (1/3)k    , 2<x≤4

           (1/6)k    , 4<x<5.

Find the value of k , that will make the pdf valid.

Answer:

x = -7

Step-by-step explanation:

4x + 16 = -12   Subtract 16 from both sides

4x = -28  Divide both sides by 4

x = -7

Answer:

x = -7

Step-by-step explanation:

1. Subtract 16 from both sides

4x + 16 = -12

4x + 16 - 16 = -12 -16

2. Simplify

Subtract the numbers:

4x + 16 - 16 = -12 - 16

4x = -12 - 16

Subtract the numbers:

4x = -12 - 16

4x = -28

3. Divide both sides by the same factor

4x = -28

\(\frac{4x}{4}\) = \(\frac{-28}{4}\)

4. Simplify

Cancel terms that are in both the numerator and denominator:

\(\frac{4x}{4}\) = \(\frac{-28}{4}\)

x = \(\frac{-28}{4}\)

Divide the numbers:

x = \(\frac{-28}{4}\)

x = -7

Solution:

x = -7

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:

y = -1

Step-by-step explanation:

Right away, you should notice that the y-coordinate is the same between both points. If it's a straight line (which you can assume), that means it's a horizontal line at y = that y-coord, or y = -1 in this case.

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

Hey there!

so the solution of two equations is where the two equations cross over

the two equations cross at (-4,1) therefore that is your answer

Answer:

0.0652173

Step-by-step explanation:

Given that :

6 chocolate chip cookies

6 peanut butter cookies

6 sugar cookies

6 oatmeal cookies

Total number of cookies purchased = (6+6+6+6) = 24

Probability, P= required outcome /total possible outcomes

This is a selection without replacement probability problem :

P(peanut butter cookies) = 6/24 = 1/4

Then ;

P(chocolate chip cookie) = 6/23

Hence,

P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173

The statements that are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent are:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

F. All columns of the matrix A are pivot columns.

Let's examine each option to see why they are equivalent:

A. A linear combination of vi, ..., vp is the zero vector if and only if all weights in the combination are zero.

This statement is equivalent to linear independence because it states that the only way for the linear combination of the vectors to equal the zero vector is if all the weights are zero. In other words, there are no nontrivial solutions to the equation c₁v₁ + c₂v₂ + ... + cₚvₚ = 0, where c₁, c₂, ..., cₚ are the weights.

B. The vector equation x₁v₁ + x₂v₂ + ... + xₚvₚ = 0 has only the trivial solution.

This statement is also equivalent to linear independence because it states that the only solution to the equation is the trivial solution where all the variables x₁, x₂, ..., xₚ are zero. In other words, there are no nontrivial solutions to the homogeneous system of equations represented by the vector equation.

F. All columns of the matrix A are pivot columns.

This statement is equivalent to linear independence because it implies that every column of the matrix A is a pivot column, meaning that there are no free variables in the corresponding system of equations. This, in turn, implies that the only solution to the homogeneous system Ax = 0 is the trivial solution, making the set of vectors linearly independent.

The other options (C and E) are not equivalent to the statement that a set of vectors is linearly independent:

C. There are weights, not all zero, that make the linear combination of vi, ..., vp the zero vector.

This statement describes linear dependence rather than linear independence. If there are non-zero weights that result in the linear combination of the vectors equaling the zero vector, it means that the vectors are linearly dependent.

E. The matrix equation Ax = 0 has only the trivial solution.

This statement is related to the linear dependence of the columns of the matrix A rather than the linear independence of the vectors (v1, ..., vp). It refers to the homogeneous system of equations represented by the matrix equation and states that the only solution is the trivial solution, implying that the columns of A are linearly independent. However, it does not directly correspond to the linear independence of the original set of vectors.

In summary, the statements A, B, and F are equivalent to the statement that a set of vectors (v1, ..., vp) is linearly independent.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

  1/9

Step-by-step explanation:

The applicable rule of exponents is ...

  a^0 = 1 . . . . a ≠ 0

__

  \(\dfrac{(-3)^0}{(-3)^2}=\dfrac{1}{(-3)(-3)}=\boxed{\dfrac{1}{9}}\)

Answer:

1/9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The value of angle C using sine rule is 25.84°.

The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle.

To calculate the value of angle C, we use the sine rule formula below

Formula:

From the question,

Given:

Substitute these values into equation 1

Solve for angle C

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Answer:

Step-by-step explanation:

9.21954445 to round 9 :D have a bless day

Answer:

1.46666666667

Step-by-step explanation:

??

Answer:

22/15 or 1  7/15

Step-by-step explanation:

If you have two negatives in a row they make a positive, so the question is 4/5 + 2/3= ?. You can either plug that into a calculator and get 1.4666... or change the denominator to 15 and get 12/15 + 10/15.

Here's the solution,

figure 1.

by using trigonometry,

=》

\( \sin(60) = \dfrac{5 \sqrt{3} }{y} \)

=》

\( \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} \)

=》

\( \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } \)

=》

\( \dfrac{1}{y} = \dfrac{1}{10} \)

=》

\(y = 10\)

And,

=》

\( \cos(60) = \dfrac{w}{y} \)

=》

\( \dfrac{1}{2} = \dfrac{w}{10} \)

=》

\(w = 5\)

So, values are :

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

\( {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} \)

=》

\( {w}^{2} + {w}^{2} = 98\)

=》

\(2 {w}^{2} = 98\)

=》

\( {w}^{2} = 49\)

=》

\(w = \sqrt{49} \)

=》

\(w = 7\)

and we know, w = y, so their values will be equal to 7 units.

Answer:

− 4 = ( 6 − x) + 4 = 4 x − 20 = x = 6 i think this is right

Step-by-step explanation:

Answer:

x can be all real numbers

Step-by-step explanation:

-4 (6 - x) + 4 = 4x - 20

-24+4x+4=4x-20

4x-4x=-20+24-4

0=0

Answer:

\( {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} \)