Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour. the function w(h) represents how hours per week margaret spends making bracelets. what are the units of measurement for the composite function s(w(h))?

The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

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The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

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Answer:

i think it is 340

Step-by-step explanation:

Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

15= 3×5

12= 2×2×3= 2²×3

Then, the least common multiple is calculated as 2²×3×5

Solving, the least common multiple between 12 and 15 is 60.

Finally, this means that smallest number of packages of each they can buy is 60.

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it's is a if you didn't know

An approximate linear equation that would model these data is:

(a) B = 0.338t+20.6

The general form of a linear equation in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

We are told that In 1983, 10.8 million adults were in enrolled in a Bachelor Degree program while in 2012, 20.6 million adults were enrolled.

Thus:

Rate of increase = (20.6 - 10.8)/(2012 - 1983)

Rate of increase = 9.8/29 = 0.338

Thus, the equation is:

B = 0.338t+20.6

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The amount of money she started with is $5750

The given parameters are:

Interest = $115

Rate = 3%

Time = 8 months

The amount she start with (P) is calculated using:

P = I/(RT/12)

This gives

P = 115/(3% * 8/12)

Evaluate the product

P = 115/(0.02)

Divide

P = 5750

Hence, the amount of money she started with is $5750

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Answer:

x=-12,y=3

Step-by-step explanation:

1/2x+6y=12

y=x+15

since y=x+15

substitute y in first equation, we have

1/2x+6(x+15)=12

open the bracket

1/2x+6x+90=12

1/2x+6x=12-90

x/2+6x= -78

13x/2=-78

13x=2×-78

x=-12

Now x=-12, put x=-12 in the second equation, we have

y=x+15

y=-12+15

y=3

hope it helps

Answer:

x=-8, y=2

Step-by-step explanation:

if 1/2x+6y=12 then 1/2x+y=2 and x+y=1 and y=1-x..if y=1-x then 1-x=x=15 and 2x=16 so x=8 if x=8 then 1/2(8) +6y=12 or 4=6y=12.. then 2y=4 and y=2

Answer:

Exact form - 13/15

Decimal Form - 0.86

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine

Answer:

C.) 85

Explanation:

Given following:

While solving these function questions, go from right to left.

Steps:

Answer:

32 different ways.

Step-by-step explanation:

There are 2 combinations for each question, and there are 5 questions. Therefore there are [tex]2\times2\times2\times2\times2[/tex] = 32 different ways the student could do the exam.

Have a nice day!

Benefits 1 and 2 in the 'Pros and Cons of Patents' significantly throws light on the opportunity of owning a market, and securing funds respectively.

What is the primary importance of benefits 1 and 2?

Benefit 1 of 'Pros and Cons of Patents' is about the possibility of owning a market.

Since the US government will protect your creation for 20 years, you will essentially control the market for that product during that time. For instance, Eli Lilly invented Prozac in 1987 and had the monopoly for 14 years until 2001.

Benefit 2 of 'Pros and Cons of Patents' concerns around attracting and accumulating the sources of funding and investors.

If an invention is not protected, no one will put their money at risk The only way an invention can ensure a return is through patent protection since investors don't care about good intentions; they only care about money.

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Answer:

According to the article, patents allow inventors to “own the market” for their ideas, meaning the US government has deemed the idea original and protected the idea from being reproduced by others for 20 years. This makes the idea more marketable, which allows the inventor to attract investors. These benefits support the idea that patents promote invention.

Step-by-step explanation: edmentum sample answer

The underlined place is tenths.

Rounding off o the tenth place = 75.7.

The tenths of a number is the first digit after a decimal point. To round off a number to the nearest tenth, if the number next to the tenth digit is not up to 5, let it be assumed as 0.

The underlined place is the tenths. Rounding 75.733 to the nearest tenth would give us: 75.7. This is because the next digit close to 7 is 3. It is not up to 5.

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The equation of the line of best fit is y = -4.75X + 88.6 and the absolute value of the correlation coefficient is 0.906

The data values of the question are as follows:

(1, 88), (2, 75), (3, 71), (4, 69), (5,66), (6, 68), (7, 50)

To determine the equation of the line of best fit, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

The line of best fit equation is

y = bx + a

Where

b = SP/SSX = -133/28 = -4.75

a = MY - bMX = 69.57 - (-4.75*4) = 88.57143

So, we have:

y = -4.75X + 88.57143

Approximate

y = -4.75X + 88.6

Hence, the equation of the line of best fit is y = -4.75X + 88.6

In (a), we have:

The value of R is: -0.906.

This represents the correlation coefficient.

The absolute value is

|R| = 0.906.

Hence, the absolute value of the correlation coefficient is 0.906

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Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

271.4 = 36 * pi *h

Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

Answer:

3÷8

=37.5%

$704x37.5%

=$264

ANSWER D

For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

A future value refers to a value on a future date based on an assumed growth rate of interest over some period.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

Results:

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

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There are 32 no.of digits in

[tex]9[/tex] to the power of [tex]33 = 9^33 = 30 9031543826 3261236192[/tex]0641803529.

Step-by-step explanation:  As the exponent is a positive integer, exponentiation means a repeated multiplication:

9 to the 33rd power =[tex]{9*....*9}[/tex] 33times

The exponent of the number 9, 33, also called index or power, denotes how many times to multiply the base (9).

Thus, we can answer what is 9 to the 33rd power as

[tex]9[/tex] to the power of [tex]33 = 9^33 = 30 9031543826 3261236192[/tex]0641803529.

Reference link-

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There exist 32 digits in 9 to the power [tex]33 = 9^{33}[/tex] of

30903154382632612361920641803529.

The power of a numeral stands for how many multiples of the number there exist. The base of the number stands for the number itself and lives in front of the exponent. The exponent stands for the smaller number written above and to the right of the base. Positive exponents result in the base value existing multiplied by itself numerous times.

As the exponent exists as a positive integer, exponentiation signifies repeated multiplication.

9 to the 33rd power [tex]$=9* ........*9*[/tex] 33 times

The exponent of the number 9, 33, even named index or power, indicates how many times to multiply the base (9).

Therefore, we can answer what exists 9 to the 33rd power as 9 to the power of 33 = [tex]9^{33}[/tex] to the power of 30903154382632612361920641803529.

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The value of z from the cyclic quadrilateral as described is; 173/22.

Since the quadrilateral TUVW is a cyclic quadrilateral, it follows that the opposite angles of the quadrilateral are supplementary and hence, amount to 180.

On this note, 14z -7 +8z = 360

22z -7 = 180

22z = 180 -7

z = 173/22

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Answer:

Step-by-step explanation:

difference=1-(-12)=13°F

Answer:

fraction form: 7/25

Decimal form: 0.28

Step-by-step explanation:

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid = 4,050 ft³.

The composite figure shown is composed of a square pyramid and a rectangular prism. To find the volume of the composite figure, find the volume of the square pyramid and the volume of the rectangular prims respectively.

Volume of the square pyramid = 1/3(B)(h), where:

Base area (B) = (l)(w) = (15)(15)

Base area (B) = (l)(w) = 225 ft³.

h = 9 ft

Volume of the square pyramid = 1/3(225)(9)

Volume of the square pyramid = 675 ft³.

Volume of the rectangular prism = (length)(width)(height)

Volume of the rectangular prism = (15)(15)(15)

Volume of the rectangular prism = 3,375 ft³.

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

The Volume of the composite figure = 3,375 + 675

The Volume of the composite figure = 4,050 ft³.

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Answer:

Should be W

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.

Hope this helps!!

Answer:

62 meters

Step-by-step explanation:

So the area of a rectangle can be defined as: [tex]A = wl[/tex] where A=area, w=width, l=length. So if we plug in the known values we can solve for the unknown, which in this case is the width. So let's plug in the known values:

[tex]2356 m^2 = 38 m * w[/tex]

Divide both sides by 38 m

[tex]62 m = w[/tex]

Answer:

  1.5 mL

Step-by-step explanation:

The abbreviation mcg stands for "microgram," or 10^-6 grams. The abbreviation mg stands for "milligram," or 10^-3 grams. The relationship between these is ...

  1 mg = 1000 mcg

The order for 6000 mcg is an order for 6(1000 mcg) = 6(1 mg) = 6 mg. At 4 mg/mL, the quantity of dexamethasone required is ...

  (6 mg)/(4 mg/mL) = (6/4) mL = 1.5 mL

The nurse will give 1.5 milliliters of dexamethasone.

Using a linear function, it is found that he drove the truck for 240 miles.

A linear function is modeled by:

y = mx + b

In which:

Researching the problem on the internet, there was a base fee of $18.99, which is the y-intercept, and there was an additional charge of 75 cents for each mile driven, which is the slope, hence the cost function for m miles driven is given by:

C(m) = 18.99 + 0.75m.

He paid $199, hence the number of miles he drove is found as follows:

C(m) = 18.99 + 0.75m.

199 = 18.99 + 0.75m

m = (199 - 18.99)/0.75

m = 240 miles.

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Answer:

Ask your guidance counselor or a college admissions counselor

Step-by-step explanation:

A bisector is the required line that divides a given line or an angle into two equal parts. The required construction of the bisectors is shown in the attachment to this answer.

Bisection is the process in which a given line or angle is divided into two equal parts by constructing the required bisector. Thus the steps to bisect the given arcs are stated below:

For figure 1:

For figure 2:

For figure 3:

For figure 4:

NB: The point of intersection of the bisectors in relation to arc AC is the radius of the given arc.

The required constructions are attached to this answer.

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Step-by-step explanation:

rules of the logarithm :

e.g.

log(a×b) = log(a) + log(b)

log10(9) = log10(3×3) = log10(3) + log10(3) =

= 0.4771 + 0.4771 = 0.9542

log10(49) = log10(7×7) = log10(7) + log10(7) =

= 0.8451 + 0.8451 = 1.6902

Answer: LCD = 100

Step-by-step explanation:

16/25 = 64/100

13/20 = 65/100