The table shows the distance that Rachel jogged last weekend. How much farther did Rachel jog on Sunday than on Saturday?

Answer: JD's markup price is $80 * 120% = $96 per bat.

So, the retail price of each bat is $80 + $96 = $176.

The total revenue from the sale of 16 bats is 16 * $176 = $2,816.

He still has 30 - 16 = 14 bats left.

The discount price of each bat is $176 - ($176 * 40%) = $106.40.

The total revenue from the sale of 14 bats at the discount price is 14 * $106.40 = $1,493.60.

The total revenue from all the bats is $2,816 + $1,493.60 = $4,309.60.

The profit JD makes from selling all the bats is $4,309.60 - ($80 * 30) = $1,039.60.

Step-by-step explanation:

The profit which will he make after selling all of the bats is $1,039.60.

This is referred to as the amount of money that you gain when you are paid more for something than it cost you to make, get, or do it.

JD's markup price = $80 ×120% = $96 per bat.

Retail price = $80 + $96 = $176.

Revenue of 16 bats is 16 * $176 = $2,816.

Since 30 - 16 = 14 bats which is what we have left.

The discount price of each bat is $176 - ($176 * 40%) = $106.40.

The total revenue from the sale of 14 bats at the discount price is 14 * $106.40 = $1,493.60.

Therefore the total revenue from all the bats is $2,816 + $1,493.60 = $4,309.60.

The total profit = $4,309.60 - ($80 * 30) = $1,039.60.

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The area of the tabletop in square inches is 1071 square inches.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given that, there are 3 inches between each side of the aquarium and each side of the tabletop.

The length of the tabletop will be:

l = 48 + 3 = 51 inches.

The width of the tabletop will be:

w = 18 + 3 = 21 inches.

The area of the table top will be:

A = (l)(b)

A = (51)(21)

A = 1071 square inches.

The area of the tabletop in square inches is 1071 square inches.

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Answer:

Sharpe Ratio?

if you looking for a name for your definition, thats it

good luck!

A calibration curve is a graphical representation of the relationship between the output of a measuring instrument and the actual values of the quantity being measured.

What is the calibration curve?

A calibration curve is typically created by measuring a set of known values of the quantity being measured, and plotting the measured values against the actual values. The curve is used to make adjustments to the measurements obtained with the instrument, so that they more accurately reflect the actual values of the quantity being measured.

A calibration curve can be described as a plot of the relationship between the output of a measuring instrument and the actual values of the quantity being measured. The curve is typically linear, and the slope of the curve represents the sensitivity of the instrument. The y-intercept of the curve represents the offset or bias of the instrument, and any deviations from a straight line represent non-linearity in the measurement.

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Answer:

The average weight of a 3-pound human brain in ounces is approximately 48 ounces.

The correct option regarding the solution of the system of equations is given as follows:

One solution at (-1, 0).

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

For this problem, we have a single equation, hence the solution is obtained when the graph crosses the x-axis.

The graph crosses the x-axis when x = -1 and y = 0, hence the solution is given as follows:

(-1,0).

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Answer:

F(-2) = -3(-2) - 2 = 6 - 2 = 4

F(-2) + 9 = 4 + 9 = 13

Step-by-step explanation:

F(-2) = -3(-2) - 2 = 6 - 2 = 4

F(-2) + 9 = 4 + 9 = 13

Answer:

x=4.875

Step-by-step explanation:

19.5=4x

19.5/4=4.875

x=4.875

Check:

4.875×4=19.5

The expanded expression is [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1.[/tex]

[tex](2x^2 - 3x + 1)(x^2 + 3x - 1)[/tex] can be expanded by multiplying each term in the first equation by each term in the second equation using the distributive property. increase.

= [tex]2x^2(x^2 + 3x - 1) - 3x(x^2 + 3x - 1) + 1(x^2 + 3x - 1)[/tex]

Each term can then be simplified by multiplying by the coefficient and adding the exponent of x.

= [tex]2x^4 + 6x^3 - 2x^2 - 3x^3 - 9x^2 + 3x + x^2 + 3x - 1[/tex]

Then you can combine similar terms.

= [tex]2x^4 + (6x^3 - 3x^3) + (-2x^2 - 9x^2 + x^2) + (6x - 1)[/tex]

= [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1[/tex]

So the expanded expression is [tex]2x^4 + 3x^3 - 10x^2 + 6x - 1.[/tex]

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Step-by-step explanation:

because 0.25 = 1/4.

so, it is actually

82.5 + 8×(1/4)x = 338.5

which is then simplified

82.5 + (8/4)x = 338.5

82.5 + 2x = 338.5

Step-by-step explanation:

[tex]\displaystyle\\8(0.25x)=8(\frac{25}{10}x)=\frac{8*25}{100} x=\frac{200}{100}x=2x[/tex]

Thus, 82.5+8(0.25x)=338.5  ≡  82.5+2x=338.5

AROC formula

(f(b)-f(a))/b-a

f(11)-f(3)    /       11 - 3

-623 -(-47)      / 8

= -72

Hope this helps,

- Jeron :- )

Answer: 44%

Step-by-step explanation:

100 - 49 - 7 = 44 people who preferred Soda B

44 of a 100 = 44%

Answer: 44%

Step-by-step explanation:

Since we have 100 people, each person is one percent.

49 people preferred A, so we can subtract 49 from 100.

100 - 49 = 51

7 people didn't have an opinion, so we can subtract 7 from 51.

51 - 7 = 44

That means that 44 people preferred B, which is 44%

Answer:

Below

Step-by-step explanation:

6^5 = x^2    

7776 = x^2      sqrt both sides

x = ± 88.18

Answer:

Hi there! The answer is 3/5

Step-by-step explanation:

The rise is 3 and the run is 5.

Brainiest, please? Can you click on the crown on my answer?

Answer: 3/5

Step-by-step explanation:

Looks at the points (0,1) and (5,4).

Formula: y2-y1/x2-x1

Substitute: 4-1/5-0 = 3/5

m = 3/5

Answer: The total number of tickets sold (student and adult) cannot exceed 110, so we can write the first inequality as:

r + y ≤ 110

The minimum amount of money needed from ticket sales is $720, so we can write the second inequality as:

4r + 9y ≥ 720

To graph the system of inequalities, we can start by plotting the two lines corresponding to r + y = 110 and 4r + 9y = 720. The solution to the system of inequalities is the area on the graph that is shared by both of the inequalities (i.e., the area above the line 4r + 9y = 720 and below the line r + y = 110).

One possible solution for the number of student tickets (r) and adult tickets (y) is (30, 80). This means that 30 student tickets and 80 adult tickets can be sold to meet the conditions and raise at least $720.

Step-by-step explanation:

We are given the following differential equation, [tex]\frac{dx}{dt}-4x=cos(5t)[/tex], with the initial condition [tex]x(0)=1[/tex]. This is a linear DE in the form, [tex]\frac{dx}{dt}+P(t)x=Q(t)[/tex], where [tex]\mu(t)=e^{\int\ {P(t)} \, dt }[/tex].

First, finding [tex]\mu(t)[/tex].

[tex]\Longrightarrow\mu(t)=e^{\int\ {P(t)} \, dt }\Longrightarrow\mu(t)=e^{\int\ {-4} \, dt }[/tex]

[tex]\mu(t)=e^{-4t }[/tex]

Multiply the DE by [tex]\mu(t)[/tex].

[tex]\Longrightarrow\frac{dx}{dt}-4x=cos(5t)\Longrightarrow e^{-4t} [\frac{dx}{dt}-4x=cos(5t)][/tex]

[tex]\Longrightarrow (e^{-4t}) \frac{dx}{dt}-(e^{-4t})4x=(e^{-4t})cos(5t)[/tex]

[tex]\Longrightarrow e^{-4t} \frac{dx}{dt}-4e^{-4t}x=e^{-4t}cos(5t)[/tex]

Verify that the L.H.S is a product rule of [tex]e^{-4t}x[/tex].

[tex]\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =(e^{-4t}*-4)x+(e^{-4t})(\frac{dx}{dt} )[/tex]

[tex]\Longrightarrow \frac{d}{dt}[e^{-4t}x ] =-4e^{-4t}x+e^{-4t}\frac{dx}{dt}[/tex]

This matches, so we can move forward by integrating both sides of the DE.

[tex]\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt[/tex]

The integral on the R.H.S is pretty nasty to do using integration by parts and u-sub. I will use a table of integrals.

[tex]\int\ {e^{ax}cos(bx) } \, dx=\frac{e^{ax}(acos(bx)+bsin(bx))}{a^2+b^2}[/tex]

Let [tex]a=-4[/tex] and [tex]b=5[/tex]

[tex]\int\ {[e^{-4t}x ]'} \, =\int\ {e^{-4t}cos(5t)} \, dt[/tex]

[tex]\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{(-4)^2+(5)^2}+C[/tex]

[tex]\Longrightarrow e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +C[/tex]

Now for the initial condition, [tex]x(0)=1[/tex].

[tex]\Longrightarrow e^{-4(0)}(1) = \frac{e^{-4(0)}(-4cos(5(0))+5sin(5(0)))}{41} +C[/tex]

[tex]\Longrightarrow (1)(1) = \frac{(1)(-4(1)+(0))}{41} +C[/tex]

[tex]\Longrightarrow 1 = -\frac{4}{41} +C[/tex]

[tex]\Longrightarrow 1+\frac{4}{41} = C[/tex]

[tex]\Longrightarrow C=\frac{45}{41}[/tex]

Now we have, [tex]e^{-4t}x = \frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41} +\frac{45}{41}[/tex], solve for x.

[tex]\Longrightarrow x = \frac{\frac{e^{-4t}(-4cos(5t)+5sin(5t))}{41}}{ e^{-4t}} +\frac{\frac{45}{41}}{e^{-4t}}[/tex]

[tex]\Longrightarrow x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}[/tex]

Thus, the answer to the given differential equation with an initial condition is, [tex]x = \frac{(-4cos(5t)+5sin(5t))}{41}} +\frac{45e^{4t}}{41}[/tex].

Note that the proof related to the above parallelogram is given as follows:

ΔSVX ≅ ΔUTX                      Given

SV || TU                                 Given

SV ≅ TU                                Corresponding part of congruent triangle

VUTS parallelogram             Definition of parallelogram.

A quadrilateral having two pairs of parallel sides is known as a parallelogram. It is possible to demonstrate that the opposing sides of a parallelogram are congruent.

A parallelogram is any quadrilateral having two pairs of congruent opposing sides. Parallelograms contain two congruent opposing angles, thus a quadrilateral with two congruent opposite angles must be a parallelogram.

A parallelogram's diagonals intersect each other, therefore a quadrilateral with diagonals that bisect each other must be a parallelogram. Finally, if a quadrilateral contains two parallel and congruent sides, it must be a parallelogram.

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About 0.04% percent of quokkas weigh over 15.5 pounds.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given that, the weights of quokkas can be described by the Normal model N(10, 2.7).

Let Y the weights of quokkas

Given that, Y~N(μ= 10, σ²=2.7)

So, σ=1.643

a) The probability, P(Y＞15.5) denotes chances that quokkas weight over 9.3 pounds, and it is,

P(Y>9.3) = P(Z> (15.5-μ)/σ)

= P(Z> (15.5-10)/1.643)

= P(Z>3.347)

= 0.0004

= 0.0004×100 =0.04%

b) The probability, P(Y＜11.9) denotes chances that quokkas weight under 11.9 pounds, and it is,

P(Y>9.3) = P(Z> (11.9-μ)/σ)

= P(Z> (11.9-10)/1.643)

= P(Z>1.156)

= 0.1250

= 0.1250×100 =12.5%

c) The probability, P(11.9≤Y≤15.5) denotes chances that quokkas weight will be between 11.9 and 15.5 pounds, and it is,

P(11.9≤Y≤15.5) = P((15.5-μ)/σ ≤ Z ≤ (11.9-μ)/σ)

= P((15.5-10)/1.643) ≤ Z ≤ (11.9-10)/1.643)

= P(3.347≤ Z ≤1.156)

= P(Z≤3.347)-PZ ≤1.156)

= 0.0004-0.1250

= 0.1246

= 0.1246×100

= 12.46%

Therefore, about 0.04% percent of quokkas weigh over 15.5 pounds.

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The value of a that makes u parallel to v is a = 4 and  the value of a that makes u perpendicular to v is -7.

a. For two vectors to be parallel, their direction ratios must be equal. In other words, their components must have the same ratio. For vectors u = (a, 7) and v = (4, 4), we have:

u1/u2 = a/7 = v1/v2 = 4/4

So the value of a that makes u parallel to v is a = 4.

b. For two nonzero vectors to be perpendicular, their dot product must be equal to zero. The dot product of u = (a, 7) and v = (4, 4) is given by:

u · v = a * 4 + 7 * 4 = 4a + 28

To make this equal to zero, we can solve for a:

4a + 28 = 0

4a = -28

a = -7

So the value of a that makes u perpendicular to v is -7.

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The subsets are {}, {0}.

What is the subset in mathematics?

In mathematics, a subset is a set consisting of elements that are also elements of another set. A set A is said to be a subset of set B if and only if every element of A is also an element of B. In other words, if you have a set A and another set B, and all the elements of set A are present in set B, then set A is considered a subset of set B.

In mathematics, a subset is a collection of elements that belong to a larger set. The elements in a subset can be any type of mathematical objects, such as numbers, vectors, or functions. A set is a subset of itself, and the empty set is a subset of every set.

The subsets of the given set {0} are the empty set {} and the set itself, {0}. So, the subsets of the given set 0 are {}, {0}.

Hence, the subsets are {}, {0}.

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The first six terms of the sequence are 2, 1, 3, 4, 7, and 11.

The 12th term is 199.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(1) = 2

f(2) = 1

f(n) = f(n - 1) + f(n - 2)

Now,

For n = 3,

f(3) = f(3 - 1) + f(3 - 2) = f(2) + f(1) = 1 + 2 = 3

f(4) = f(4 - 1) + f(4 - 2) = f(3) + f(2) = 3 + 1 = 4

f(5) = f(5 - 1) + f(5 - 2) = f(4) + f(3) = 4 + 3 = 7

We see that,

The next sequence is the addition of the previous two sequences.

So,

The sequence is:

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199

i.e

12th term = 199.

Thus,

First six terms of the sequence =  2, 1, 3, 4, 7, 11

12th term = 199.

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Answer: The first term of the sequence is 2, and the second is 1. The function adds the previous two terms to get the next term.

To get the first six terms of the sequence, start by finding the third term by substituting the values of the first two terms in the function:

f(3) = f(2) + f(1) = 1 + 2 = 3.

In the same way, find the remaining three terms and get the sequence as (2, 1, 3, 4, 7, 11, . . .).

To find the 12th term of the sequence, continue using the rule to find all terms until the 12th. So, the sequence is (2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, . . .).

The 12th term is 199.

Step-by-step explanation:

Edmentum Answer

The triangular table that Mrs. Gomez is buying for her classroom is a right triangle table because 3² +4² = 5². That is option C.

A right angle triangle is the type of triangle that has one side of its angle perpendicular to another and the value of the three sides can be calculated through the use of the Pythagorean formula.

The Pythagorean formula is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

Since, 5= c

b= 3

a = 4

Therefore, 3² +4² = 5² shows that the table is a right angle triangle.

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Step-by-step explanation:

The answer should be -11

Answer:  -11 (negative eleven)

An integer is a real number. Which includes 0, positive numbers, and negative numbers. Since the temperature outside went down by 11 degrees rather than increased, it is negative. Which means our integer is -11.

I hope this helps & Good Luck <3 !

The polynomial in standard form is 8x^5 + 4x^4 + 4x^3 + 4

From the question, we have the following parameters that can be used in our computation:

4x^3+4x^m+8x^5+4

Express properly

So, we have the following representation

4x^3 + 4x^4 + 8x^5 + 4

Order the powers in decreasing order

This gives

8x^5 + 4x^4 + 4x^3 + 4

Hence, the standard form is 8x^5 + 4x^4 + 4x^3 + 4

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Factors are the numbers that divide the supplied number exactly and are multiplied by another number to get specific numbers.

A prime factor is any semi natural integer that is able to divided only by itself and by 1. Actually, a few of the initial number theory are 2, 3, 5, 7, 11, and so forth. a sum that has multiplied to yield a new sum. For illustrate, if we divide 15 by 3 and 5, we get 3 5 = 15. components: All prime but non-composite components are referred to here as prime factors. 2, 3, and 5 are a some of the major determinants of 30. It is essential to list 2 twice as 2 2 3 (or 22 3) in order to factorise 12 since only 2 and 3 represent prime factors of 12. 2 + 3 can really be added to make 12.

given

As contrast to multiples, which are multiplied by another number to produce particular numbers, factors are the numbers that split the supplied number exactly.

Factors are the objects that numbers can be multiplied by one another to produce another number (e.g., 1, 2, 3, and 6 are factors of 6). When you multiply a number by an integer, you obtain multiples (e.g., 20 is a multiple of 4).

e.g., 1, 2, 3, and 6 are factors of 6

e.g., 20 is a multiple of 4

Factors are the numbers that divide the supplied number exactly and are multiplied by another number to get specific numbers.

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To find the measure of angle G in triangle FGH, we can use the fact that the sum of angles in a triangle is always 180 degrees.

First, we can find the measure of angle H using the fact that the sum of angles in a triangle is 180 degrees:

H = 180 - F - G

H = 180 - 72 - G

H = 108 - G

Next, we can use the Law of Cosines to find the length of side FG:

FG^2 = GH^2 + FH^2 - 2(GH)(FH)cos(F)

FG^2 = 8^2 + 13^2 - 2(8)(13)cos(72)

FG^2 = 169.21

FG ≈ 13.01 ft

Finally, we can use the Law of Cosines again to find the measure of angle G:

cos(G) = (FG^2 + GH^2 - FH^2) / (2(FG)(GH))

cos(G) = (169.21 + 64 - 169) / (2(8)(13))

cos(G) = 0.7686

G ≈ 40.6 degrees

Therefore, the measure of angle G in triangle FGH is approximately 40.6 degrees.

The zeros and their multiplicity are:

Zero: -1, Multiplicity: 1

Zero: 0, Multiplicity: 1

Zero: 1, Multiplicity: 1

Zero: 2, Multiplicity: 1

Zero: 2.5, Multiplicity: 1

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

A graph of a polynomial is given in the diagram.

A polynomial is intercepting the x-axis five times.

That means, there are five zeros.

The zeros and their multiplicity are:

Zero: -1, Multiplicity: 1

Zero: 0, Multiplicity: 1

Zero: 1, Multiplicity: 1

Zero: 2, Multiplicity: 1

Zero: 2.5, Multiplicity: 1

Hence, all the required values are given above.

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Eric’s gross pay for one year if he earns a salary of $3,500 per month is $42,000.

The total amount of money an employee receives before taxes is referred to as gross pay.

Given  that;

Eric’s gross pay for one year = Eric's salary per month × 12 months

Eric’s gross pay for one year = $3,500 × 12

Eric’s gross pay for one year = $42,000

Therefore, the gross pay is $42,000.

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All the premises are true and conclusion are also true in all critical rows, then argument is valid. Conclusion (S) is not true in all critical rows, so argument is not valid.

In mathematics, the word "loop" has several different definitions. The simplest definition of a loop is a closed curve whose beginning and terminal points meet in the basepoint, a fixed point. Formally, a loop is a continuous map if is a topological space and.

p: The for loop is faulty.

q: The while loop is faulty.

r: The hardware is unreliable.

s: The output is correct.

p→ (qVr)

q→ (pVs)

pV→q

→s

.............................

∴ pVr

argument in words.

The for loop is faulty then the while loop is faulty or the hardware is unreliable.

The white loop is faulty then the for loop is faculty or the output is correct.

The for loop is faulty or the white loop is not faulty.

The output not correct.

...................................................................................................................

∴ The for loop is faulty or the hardware is unreliable.

next, we determine the argument validity -

Premise S₁: p→ (qvr)

Premise S₂: q→ (pvs)

Premise S₃: pv→q

Premise S₄: →s

.............................

∴ Conclusion S: pvr

When all the premises are true and conclusion are also true in all critical rows, then argument is valid.

Here, conclusion (S) is not true in all critical rows, so argument is not valid.

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The point where the net electric field is equal to zero is located approximately 0.48936m away from q1 and 24m - 0.48936m = 23.51064m away from q2.

Charge is a fundamental property of matter that describes its electrical state. It is a scalar quantity that can be either positive, negative, or neutral, and is measured in Coulombs (C). The concept of charge is used to explain many of the phenomena that occur in electricity and magnetism, such as electric fields, currents, and voltages. Positive and negative charges are thought to be due to the presence or absence of electrons, which are the smallest negatively charged particles in matter. Neutral objects have an equal number of positive and negative charges, resulting in a net charge of zero. The interaction of charges with each other results in many of the electrical and magnetic phenomena observed in the world around us.

The net electric field at a point is equal to zero if the electric field due to one charge is exactly canceled by the electric field due to the other charge.

Since q2 is 49 times greater than q1, the electric field due to q2 will be 49 times greater than the electric field due to q1 at any given point. In order to cancel the electric field due to q1, we need to place q2 at a point that is 49 times closer to q1 than the original separation of 24m.

Let's call the new separation between the charges x. Then, x = 24m / 49, which is approximately equal to 0.48936m.

So, the point where the net electric field is equal to zero is located approximately 0.48936m away from q1 and 24m - 0.48936m = 23.51064m away from q2.

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