L83) use product to sim identities to rewrite the expresiion as the sum or diference of two functions.
cos 2x cos 6x

The expression of $2525 US in Argentine peso is 5,788,660 peso, calculated using the conversion rate of $0.23364 US to 1 Argentine peso.

2525 US x 0.23364 Argentine peso = 5,888.85 Argentine peso

Rounded to the nearest peso = 5,788,660 Argentine peso

The conversion rate of US Dollars to Argentine Peso is $0.23364 US per 1 Argentine peso. This means that for every 1 Argentine peso, you would need to spend $0.23364 US. To calculate the equivalent amount of Argentine peso for $2525 US, we need to multiply $2525 US by 0.23364 Argentine peso. This gives us a total of 5,888.85 Argentine peso. However, when making monetary calculations, it is important to round the result to the nearest peso, so the equivalent of $2525 US in Argentine peso is 5,788,660 peso. This means that for every $2525 US, you can purchase 5,788,660 peso in Argentine currency.

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The inequality describing how much she can withdraw is x < 3550

An equation is a expression that shows the relationship between numbers and variables.

Inequalities are used in expression for non equal comparison of variables.

Let x represent the amount of money that can be withdrawn.

Tabitha’s account balance is $3,800. Of this, $750 is for rent. Hence:

Money remaining = 3800 - 750 = 3050

Tabitha wants to keep a balance greater than $500. Hence:

3050 - x > 500

x < 3550

The inequality is x < 3550

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The volume of this rectangular prism is (x+5) * (x+1) * x = x^3 + 6x^2 + 6x + 5.

Rectangular Prism:

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here.

The Volume of a Rectangular Prism Formula is,

The volume of a Rectangular Prism (V) = l × b × h

Where,

“b” is the base length of the rectangular prism

“l” is the base width of the rectangular prism

“h” is the height of the rectangular prism

The formula for the volume of a rectangular prism is length x width x height. So, the volume of this rectangular prism is (x+5) * (x+1) * x = x^3 + 6x^2 + 6x + 5.

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   When we say two values are equivalent, we mean that their numerical values are the same. In mathematics, transforming one value into another that is more useful in a specific context is one technique to demonstrate that two values are comparable.

  In this instance, the values of the fraction 3/4 and the decimal 0.75 are the same. This can be demonstrated by dividing the numerator (3) by the denominator (4) using long division or a calculator to represent the fraction 3/4 in decimal form.

 The following steps can be used to breakdown the conversion of a fraction to a decimal:

           Therefore, In mathematics, for example, the fraction 3/4 and the decimal 0.75 are the same value.

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Therefore, the function f is decreasing on the interval (- [infinity], -1].

A. (- [infinity], -1] only

We can use the first derivative test to determine where a function is increasing or decreasing. The first derivative test states that if the derivative of a function is positive, then the function is increasing, and if the derivative is negative, then the function is decreasing.

For this problem, the derivative of the function f is f'(x) = x^2 - 2/x.

We can see that for x < 0, the derivative is negative, so the function is decreasing on that interval. For x > 0, the derivative is positive, so the function is increasing on that interval.

Therefore, the function f is decreasing on the interval (- [infinity], -1].

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According to the given information Every 10th product in the line is selected.

Systematic sampling is a probabilistic strategy that includes selecting people from the general population at predetermined intervals, such as each 15th people on a list of the population. If the community is set up in a random order, this can replicate the benefits of simple random sampling.

Biased sample sizes and subpar survey results are reduced by systematic sampling. If there is a low chance that data will be manipulated: Data validity may be compromised if researchers rearrange a data set. The best strategy for surveys when there is little likelihood of data manipulation is systematic sampling.

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Answer: 2.5

Step-by-step explanation:

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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Answer:

Step-by-step explanation:

if 1 = 2 than 3 is 4

Answer:

t = 8

Step-by-step explanation:

8t - 2=62

8t =62+2

8t = 64

t = 64÷8

t = 8

Answer: t = 8

Step-by-step explanation:

Hope it helps.

If you have any query, feel free to ask.

Chad used the scale of 1 scale inch which is equal to 9 feet.

In the conventional system of measuring, an inch is a unit of length. Either in or " can be used to denote length in inches. For instance, 16 in or 16" can be used to write 5 inches.

Given that,

The length of the gym in real life = 81 feet

The length of the gym in scale drawing = 9 inches

1 scale inch = length of the gym in real life/length of the gym in the scale drawing

1 scale inch = 81/9 = 9

Thus, Chad used the scale of 1 scale inch which is equal to 9 feet.

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Think of a bracelet made of five different coloured beads. Be sure to account for flipping and rotating. Check to see whether your solution is right by applying the same logic to a bracelet with four beads of four different colours.

Properties. The form with the biggest area for a given perimeter is a circle (see Isoperimetric inequality). The circle has excellent spherical shape around the centre for all angles and every line thru the centre generates a path of reflection symmetry.

My response is: There are (n-1)!/2 potential bracelets for n different colours, as in our example. Therefore, there are 4!/2=12 various bracelets that might be made for n=5.

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Answer: [tex]4\sqrt{2}+1[/tex]

Step-by-step explanation:

[tex]x=0 \implies y=a+b \implies a+b=9\\\\x=30 \implies \frac{\sqrt{3}}{2}a+b=1+4\sqrt{3}\\\\\implies \frac{\sqrt{3}}{2}a-a=4\sqrt{3}-8\\\\a=\frac{4\sqrt{3}-8}{\frac{\sqrt{3}}{2}-1}=\frac{8\sqrt{3}-16}{\sqrt{3}-2}=8\\\\\implies b=9-8=1\\\\\therefore y=8\cos x^{\circ}+1\\\\x=45 \implies y=8\left(\frac{\sqrt{2}}{2} \right)+1=4\sqrt{2}+1[/tex]

Answer:1.233

Step-by-step explanation:

Answer:

[tex]\textrm{P(2 heads in a row) } =\boxed{\dfrac{3}{8}}[/tex]

Step-by-step explanation:

Let H represent the event that the coin turns up heads and T the event that coin turns up tails

So we can get H on the first toss, then 2 T's on the next two tosses, a T on the first toss and 2 H on the next two tosses, two T on the first two tosses and a H on the third toss etc.

The sample space for 3 tosses of a coin consists of 2³ elements since there are two possible outcomes for each of 3 events

The sample space is enumerated below

1 H H H

2 T H H

3 H T H

4 T T H

5 H H T

6 H T T

7 T H T

8 T T T

There are 3 possibilities where 2 H appear in a row

These are the ones in bold in the table above

Since only 3 outcomes out of a total of 8 possible outcomes can result in 2 heads in a row,

[tex]\textrm{P(2 heads in a row) } =\dfrac{3}{8}[/tex]

The imaginary line which divides any shape into two equal halves is known as line of symmetry.

As given in the question,

To divides the given shape into two equal parts :

Therefore, the imaginary line used to divide the given shape into two equal halves is called line of symmetry.

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Your adjusted gross income (AGI) consists of the total amount of income and earnings you made for the tax year minus certain adjustments to income. The dollar amount on line 10 is calculated by subtracting the standard deduction and personal exemptions from the taxable income.

Line 10 on the 1040EZ form is labeled "Taxable income" and is used to calculate the amount of taxes owed to the IRS. Line 11, labeled "Tax," is used to enter the amount of taxes already paid, either through withholding or estimated payments.

If $4184 is on line 11 and the taxpayer will neither receive a refund nor owe the IRS, that means that the amount of taxes already paid, $4184, is equal to the amount of taxes owed, which is calculated on line 10.

Therefore, the dollar amount on line 10 would also be $4184. This indicates that the taxpayer's taxable income and their taxes already paid are equal, resulting in no additional taxes owed or refund due.

It's worth noting that the dollar amounts on line 10 and line 11 are not directly related, the dollar amount on line 10 is calculated by subtracting the standard deduction and personal exemptions from the taxable income.

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On solving the provide question, we can say that by unitary method McCall would need to drive 126 miles  in order to make renting from Company B a better deal

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have -

Company A charges =  $35 per day

plus =  $0.45 per mile.

Company B charges =  $60 per day

plus  = $0.25 per mile.

McCall would need to drive 126 miles  in order to make renting from Company B a better deal

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Answer:

Step-by-step explanation:

4914/5=982.8 but if you need to round it it will be 983

There are 14 quarters and 25 number of pennies

Two or more expressions with an Equal sign is called as Equation.

Given that some quarters and pennies worth $3.75

0.25x+0.01y=3.75

There are 39 coins altogether

x+y=39

x=39-y

Now plug in x value in 0.25x+0.01y=3.75

0.25(39-y)+0.01y=3.75

9.75-0.25y+0.01y=3.75

9.75-0.24y=3.75

9.75-3.75=0.24y

6=0.24y

Divide both sides by 0.24

25=y

x+y=39

x=14

Hence, there are 14 quarters and 25 number of pennies

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Answer: y=25x+80

Step-by-step explanation:

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card.

There are 16 ways to select two cards, where the first one is a red card and the second one is a face card. The combinations are: Red Ace, Red King, Red Queen, Red Jack, Red 10, Red 9, Red 8, Red 7, Red 6, Red 5, Red 4, Red 3, Red 2, Hearts King, Hearts Queen, Hearts Jack, and Hearts 10.

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card. These combinations include all of the red cards in a standard deck, as well as the King, Queen, Jack, and 10 of Hearts.

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Answer: A rectangle has two dimensions: length and width. The area of a rectangle is given by the formula A = L * W, where L is the length and W is the width.

Given the area can be represented by the expression 16x^4 + 48x^3 + 82, we can see that it's a polynomial of 4 degree.

So, one of the dimensions (L or W) must be represented by a polynomial of degree 4 and the other dimension by a polynomial of degree 3.

So the expressions that could represent one of the dimensions of the rectangle are:

L = 16x^4

W = 48x^3 + 82

It's important to note that this is just one of the possible representations of the dimensions of the rectangle, depending on the values of x.

Step-by-step explanation:

A detection system has a probability of 0.91 to detect a missile attack. It is recommended to have multiple detection systems as it increases the overall probability of detecting an attack and allows for redundancy in case one system fails.

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At 12 seconds, the cart will be moving at 24 cm per second.Rebecca is using a fan cart and measuring the rate of the cart at different times.

Rebecca is using a fan cart and measuring the rate of the cart at different times. At 10 seconds, the cart has a speed of 20 cm per second. To calculate the speed at 12 seconds, you can use the formula rate x time = distance. The rate is the speed of the cart at 10 seconds, which is 20 cm per second. The time is the difference between 10 seconds and 12 seconds, which is 2 seconds. Thus, the equation becomes 20 cm/s x 2s = 40 cm. Therefore, the speed at 12 seconds is 24 cm per second.

At 12 seconds, the cart will be moving at 24 cm per second.

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Answer: 560

Step-by-step explanation:

240 / 3 = 80 x 7 = 560

In the given time interval [0,7]:

(a) the maximum speed is 1096.63 units at t = 7 and

(b) the minimum speed is 0.91 units at time t = ln2/4.

Parametric equations of the curve

x(t) = [tex]e^t + e^{-t}[/tex]

y(t) = [tex]e^{-t}[/tex]

so, dx/dt = [tex]e^t - e^{-t}[/tex]

dy/dt = [tex]-e^{-t}[/tex]

So, speed: v(t) = [tex]\sqrt{(dx/dt)^2 + (dy/dt)^2}[/tex] = [tex]\sqrt{(e^t-e^{-t})^2 + (-e^{-t})^2}[/tex]

When v(t) is maximized or minimized, evidently v² is also maximized or minimized because speed is a positive quantity.

or (speed)² = v² = [tex](e^t-e^{-t})^2 + (-e^{-t})^2[/tex] = [tex](e^{2t} + 2e^{-2t} -2)[/tex]

Now, to get the maxima or minima of a curve we have to derivate function

d/dt(v²) = 0 or d/dt[tex](e^{2t} + 2 e^{-2t} -2)[/tex]

or [tex]2e^{2t} -4 e^{-2t} = 0[/tex] or [tex]e^{2t} = 2 e^{-2t}[/tex]

taking logs on both sides

4t lne = ln2 or 4t = ln2 or t = ln2/4

so, the only critical point is t = ln2/4 ∈ [0,7]

To calculate the maxima/minima of v, we will find functional values at the critical point and boundary values of the given interval [0,7].

At t = 0 : v(0) = [tex]\sqrt{e^0 + 2e^0 - 2} = \sqrt{1+2-2}[/tex] = 1

At t = ln2/4: v(ln2/4) = [tex]\sqrt{e^{2ln2/4} + 2e^{-2ln2/4} - 2} = \sqrt{2\sqrt{2} -2 }[/tex] = 0.91

At t = 7: v(7) = [tex]\sqrt{e^{14} + 2e^{-14} - 2}[/tex] = 1096.63

Therefore, in the given time interval [0,7]: (a) the maximum speed is 1096.63 units at t = 7 and (b) the minimum speed is 0.91 units at time t = ln2/4.

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Answer: number 1: 0.1111 and number 2: 1.0909

Step-by-step explanation: I hope I did this right