Use the exponential model to make predictions about closing prices of this stock. Remember that x represents the number of weeks since the first data point, so the value of x today would be 260.

Type the correct answer in each box. If necessary, round the answers to the nearest cent.

One week from today, the stock is predicted to close at $.

One month from today, the stock is predicted to close at $.

One year from today, the stock is predicted to close at $.

Using the rate, the number of book Mason reads per month is 2 books.

Mason read 4 books in 2 months. Mason reads at a constant rate. The number of books he reads each month can be calculated as follows;

The number of books he reads is at a constant rate. The rate formula can be used to find the number of book Mason read each month.

rate = number of books read / number of month

Therefore,

number of books read = 4 books

number of month = 2 month

Hence,

rate  = 4 / 2

rate = 2 books per month

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Answer:

Step-by-step explanation:

x = 32

x - 10 = 22

add 10 to both sides of the equation

-10 + 10 = 0

22+ 10 = 32

x = 32

The area of this rectangular walk is 390[tex]ft^{2}[/tex]

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.

Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]

In conclusion the area of the walk is 390[tex]ft^{2}[/tex]

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The two types of proofs are Direct and indirect proofs.

Given:

Geometric proof:

A step-by-step explanation that uses definitions, axioms, postulates, and previously proved theorems to draw a conclusion about a geometric statement.

They are two types of proofs:

1) Direct proofs:

A proof in which the conclusion is drawn directly from previous conclusions, starting with the first statement.

2) Indirect proofs:

A proof in which a statement is shown to be true because the assumption that its negation is true leads to a contradiction.

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The comparison of the terms are:

From the question, we have the following equation:

-4x + 11 = -10x + 17

The variable terms are terms that have the variable x represented

In this case, the variable terms are

Left-hand side = -4x

Right-hand side = -10x

When -4x and -10 are compared, we can conclude that

-4x is greater than -10x

From the question, we have the following equation:

-4x + 11 = -10x + 17

The constant terms are terms that do not have the variable x represented

In this case, the constant terms are

Left-hand side = 11

Right-hand side = 17

When 11 and 17 are compared, we can conclude that

11 is less than 17

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Answer: 4/3

Step-by-step explanation:

The reciprocal of a/b is b/a.

The graph of the inequality is plotted using the below points.

Graph:

In math, graph show you information as a visual image or picture.

Given,

Here we need to find the graph of the given inequality.

To graph an inequality:

To graph the related boundary line. We have to replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line.

Now, we have to identify at least one ordered pair on either side of the boundary line and substitute those (x, y) values into the inequality.

Then shade the region that contains the ordered pairs that make the inequality a true statement.

Here if points on the boundary line are solutions, then use a solid line for drawing the boundary line. This will happen for ≤ or ≥ inequalities.

Where as if points on the boundary line are not solutions, then use a dotted line for the boundary line. This will happen for < or > inequalities.

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The domain and range of this square root function are: D: [–4, ∞) and R: [0, ∞).

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function or relation is defined. This ultimately implies that, a domain is the set of all possible input values (x-values) for a function while a range is the set of all possible output values (y-values) of a function.

Based on the information provided, the function is represented as follows:

g(x) = √(x + 4)

Since a square root function doesn't exist for all negative values, the domain of this function is given by:

x + 4 ≥ 0

x ≥ -4

Domain = [-4, ∞]

Since we do not have a vertical translation, the range of this square root function is given by:

x ≥ 0

Range = [0, ∞]

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Answer:

[–4, ∞) and R: [0, ∞)

Step-by-step explanation:

I got it right on the test.

Answer:

14

Step-by-step explanation:

7/2 / 1/4

7/2 * 4/1

7/1 * 2/1

7*2 = 14

Answer: 14

Step-by-step explanation:

   To answer this question, we will divide.

(3 ½) / (¼)

   "Keep, change, and flip:"

(3 ½) * (4)

   Multiply the two values together:

14

Answer:

Answer:

[tex]8\sqrt{11}[/tex]

Step-by-step explanation:

Given:

[tex]x+\dfrac{1}{x}=\sqrt{11}[/tex]

Sum of two squares

[tex]\boxed{a^2+b^2=(a+b)^2-2ab}[/tex]

[tex]\textsf{Let}\; a = x[/tex]

[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]

Therefore:

[tex]\begin{aligned}x^2+\dfrac{1}{x^2}&=\left(x+\dfrac{1}{x}\right)^2-2x\left(\dfrac{1}{x}\right)\\\\&=\left(\sqrt{11}\right)^2-2\\\\&=11-2\\\\&=9\end{aligned}[/tex]

Sum of two cubes

[tex]\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}[/tex]

[tex]\textsf{Let}\; a = x[/tex]

[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]

Therefore:

[tex]\begin{aligned}x^3+\dfrac{1}{x^3}&=\left(x+\dfrac{1}{x}\right)\left(x^2-x\left(\dfrac{1}{x}\right)+\left(\dfrac{1}{x}\right)^2\right)\\\\ &=\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)\\\\&=\left(x+\dfrac{1}{x}\right)\left(x^2+\dfrac{1}{x^2}-1\right)\\\\&=\sqrt{11}\left(9-1\right)\\\\&=8\sqrt{11}\end{aligned}[/tex]

The most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.

According to the question,

We have the following information:

We need to find the names of the properties of the multiplication.

There are most commonly three properties of multiplication which are used most often:

Commutative property of multiplication which states that the product of two integers will always remain same even if we change their order.

Associative property of multiplication states that the product of three integers will always be the same even if we change the bracket from the first two to last two.

Identity property states that the product of an integer and 1 is always that integer.

Hence, the most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.

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The value of P is 3

Given general formula for a parabola is x2 = 4py ………….(a)

Also given that x2 = 12y …………..(b)

Equating (a) and (b), we get

x2 = 4py ≅ x 2 = 12y

⇒ 4py = 12y

Canceling the 'y' on either sides, we get

⇒ 4p= 12 p= 3

When the general formula for a parabola is x2 = 4py. The value of p in the equation x2 = 12y is 3.

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line

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Answer:

find p (A or ),given that A and B are independent

The value of the expression 1+1+q+q++1+1+1 is 5 + 2q.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The expression will be:

= 1+1+q+q++1+1+1

= 5 + 2q

The value is 5 + 2q.

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Answer:

5+2q

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Fill in X and Y for each of the equations until you find one that fits

The equation of the line y=2x+3 passes through the (1,4) point only.
The line gave y=2x+3.

In order to check whether the line passes through the points the following steps are:

A) (1,4)

Here x=1 , y=4.

We will put these values in the line y=2x+3.

4= 2(1)+3

4=4
As L.H.S=R.H.S, therefore this point (1,4) passes through the line.

B) (-1,4)

Here x=-1 , y=4.

We will put these values in the line y=2x+3.

4= 2(-1)+3

4= -2+3
4 [tex]\neq[/tex] 1
As L.H.S  [tex]\neq[/tex]R.H.S, therefore this point (1,4) does not pass through the line.

C) (2,3)

Here x=2 , y=3.

We will put these values in the line y=2x+3.

3= 2(2)+3

3= 4+3
3 [tex]\neq[/tex] 7
As L.H.S  [tex]\neq[/tex]R.H.S, therefore this point (2,3) does not pass through the line.

D) (3,2)

Here x=3 , y=2.

We will put these values in the line y=2x+3.

2= 2(3)+3

2= 6+3
2 [tex]\neq[/tex] 9
As L.H.S  [tex]\neq[/tex]R.H.S, therefore this point (3,2) does not pass through the line.

Only (1,4) point passes through the line.

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The linear equations that represent the relationships in the question order are;

A linear equation is an equation of the form; y = m·x + c

The slope of the line is found as follows;

(-5 - (-21))/(-1 - (-5)) = 4

The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4

y = 4·x + 4 - 5 = 4·x - 1

The y-intercept is (0, 4), the x-intercept is (4, 0)

The slope is therefore; (0 - 4)/(4 - 0) = -1

The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4

The y-intercept is (0, -1), the x-intercept is (4, 0)

The slope is therefore; (0 - (-1))/(4 - 0) = 1/4

The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =

The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]

y - (-3/4) = -1 × (x - 1) = -x + 1

y = -x + 1 - (3/4) = -x + 1/4

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The number of students enrolled in castle rock school is 625

information from the problem

At castle rock school 575 students ride their bikes to schoolin the theater

If this number is 92% of the school enrollment

how many students are enrolled = ?

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

92%

= 92 percent

= 92 / 100

= 0.92

The factor 0.92 of the total number gives 575 students

let the total number be x

0.92 * x = 575

0.92x = 575

x = 575 / 0.92

x = 625

The total number of students is 625

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Work Shown:

Let's square both sides of the given equation and do a bit of algebra like so.

x+1/x = 5

(x+1/x)^2 = 5^2

x^2+2(x*1/x)+(1/x)^2 = 25

x^2+2+(1/x)^2 = 25

x^2+(1/x)^2 = 25-2

x^2+(1/x)^2 = 23

Then use the sum of cubes factoring formula.

a^3+b^3 = (a+b)(a^2-ab+b^2)

x^3+(1/x)^3 = (x+1/x)(x^2-x*(1/x)+(1/x)^2)

x^3+1/(x^3) = (x+1/x)(x^2-1+(1/x)^2)

x^3+1/(x^3) = (x+1/x)(x^2+(1/x)^2-1)

x^3+1/(x^3) = (5)(23-1)

x^3+1/(x^3) = (5)(22)

x^3+1/(x^3) = 110

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

Another approach:

x + (1/x) = 5

x^2+1 = 5x ... multiply both sides by x to clear out the fraction

x^2-5x+1 = 0

Use the quadratic formula, or graphing calculator, to find these approximate solutions:

x = 0.2087 and x = 4.7913

Then you can plug either of those directly into x^3+(1/x)^3 to get 110 as the result. Your calculator may have some rounding error, so you might get very close to 110. The more decimal digits you use in the roots found above, the closer to 110 you should get.

There are four main types of different sequences that are arithmetic sequences, geometric sequences, quadratic sequences and special sequences.

Explanation:

A number sequence is a set of numbers that follow a particular pattern or rule to get  from term to term.

There are four main types of different sequences you need to know, they are arithmetic sequences, geometric sequences, quadratic sequences and special sequences.

1.Arithmetic sequences

An arithmetic sequence is an ordered set of numbers that have a common difference between each term.

If we add or subtract by the same number each time to make the sequence, it is an arithmetic sequence.

2.Geometric sequences

A geometric sequence is an ordered set of numbers that progresses by multiplying or dividing each term by a common ratio.

If we multiply or divide by the same number each time to make the sequence, it is a geometric sequence.

3.Quadratic sequences

A quadratic sequence is an ordered set of numbers that follow a rule based on the sequence n2 = 1, 4, 9, 16, 25, … (the square numbers).

The difference between each term is not equal, but the second difference is.

4.Special Sequences

A square number is the result when a number is multiplied by itself.

E.g. 1×1=1, 2×2=4, 3×3=9 etc.

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Answer: false

Step-by-step explanation:

if the expected grade was 100 but passing was 80 then she couldn't have passes with a 48

Charmaine sends 34 message, Jose send 75 texts and Shen send 25 messages.

What is linear equation?

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line.

Let C be charmaine text, S be shen text, J be jose text.

C +J+ S=134

Shen send 9 messages fewer than charmine .

S = C -9

C = S+9

And Jose sent 3 times more then shen

J =3S

We get,

S+9+3S+S=134

5S +9 = 134

5S = 134 -9

5S = 125

S = 25

C = 25 +9

= 34

J= 75

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Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].

Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].

Answer:

43x+3x+17y

Step-by-step explanation:

because 43x+17y+3x=43x+17y+3x

Answer:

$23.55

Step-by-step explanation:

First we will need to determine the total amount of sales Ryan and Carlos made. To do that we will multiply the amount of products sold by the product cost.

$2.75 x 12 = $33

Now we need to deduct the cost of supplies they need to pay back from their profits.

$33- $9.45= $23.55

Now we are left with Ryan and Carlos' total profit, which is $23.55

Answer:

4

Step-by-step explanation:

3(-5x-5) + 19x = _x - 15

-15x-15+19x = _x - 15

4x - 15 = _x - 15

It has to be the same on both sides so 4 would go in that blank.

Answer: 4

Step-by-step explanation:

Answer:

5, 4, 7

Step-by-step explanation:

Using the par value method, the journal entry to record the treasury stock transaction is as follows:

Debit Treasury Stock $2,350

Debit Paid-in Capital in Excess of Par Value $1,880

Credit Cash $4,230

Treasury stock transactions can be recorded using the cost or the par value methods.

When the cost method is used, the Treasury Stock account is debited or credited with the cost (cash price paid or received).

When the par value method is used, the difference between the cash price or cost and the par value is recorded in the Paid-in Capital in Excess of the Par Value account.

The Treasury Stock account is then credited or debited with the par value.

Treasury Stock $2,350 (470 x $5) Paid-in Capital in Excess of Par Value $1,880 (470 x $9 - $5) Cash $4,230 (470 x $9)

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Journalize the treasury stock transaction using the par value method.

Answer: you just do the thing with a line going down the equal sign and do everything on one side that you do on the other

Step-by-step explanation:

The test that Joan can use to determine if husbands earn more is the t test.

A t test is a statistical test used to compare two groups' means. It is frequently used in hypothesis testing to determine whether a process or treatment has an effect on the population of interest, or whether two groups differ. A t-test is an inferential statistic that is used to determine whether or not there is a significant difference in the means of two groups and how they are related.

The Independent Samples t Test compares the means of two independent groups to see if there is statistical evidence that the associated population means differ significantly. This can be utilized by Joan.

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