Jorge, sandra, danny, and valeria each mowed lawns after school and on the

weekends for a month. sandra mowed one-third of the number of lawns as jorge

and danny mowed half as many lawns as jorge. if valeria mowed 16 lawns and

the group mowed a total of 49 lawns in the month, how many did jorge mow?

Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer:

I believe its   0.681818   feet per second.

An open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half is -

p(n) = {n : n = x², where x = 5,7}.

A set is a clearly defined group of objects. A capital letter is used to name and represent sets. In set theory, the elements of a set can be anything: people, writing of the letters, numbers, shapes, variables, and so on.

For the given question;

A set is given s = {13, 25, 37, 49}.

We have to write this set in the open sentence form/set builder form such that its  true for half of the integers in s and false for the other half.

Thus,

p(n) = {n : n = x², where x = 5,7}.

Its true for 5,7 and false for other values;

For 5 we have 25 value in set S and for 7 we have its square 49 in the set.

Thus, the set in open sentence p(n) = {n : n = x², where x = 5,7}.

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Answer:

C. 0

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-1 - -1)/(-3 - 6) = (-1 + 1)/(-9) = 0/9 = 0

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (- 3, - 1 )

m = [tex]\frac{-1-(-1)}{-3-6}[/tex] = [tex]\frac{-1+1}{-9}[/tex] = [tex]\frac{0}{-9}[/tex] = 0

The conversion factor to convert meters to feet is 3.281 feet per meter.

According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:

Y = A · X

Unit representation

[Y] = ([Y] / [X]) · [X]

In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.

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The standard deviation of the sample  = 28.

An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.

The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.

A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.

variance = 784

we have to find the stranded deviation:

stranded deviation  = √variance

                                  = √784

                                  =  28

The standard deviation of the sample  = 28.

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The principle can makes 4 groups with 7 girls and 8 boys.

The biggest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD). The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate approaches.

According to the given statement ;

We are given that 28 girls and 32 boys volunteer to plant at a school.

The principle divided the girls and boys into identical groups that have girls and boys in each group.

We have to find that how much the principle can make greatest number of groups.

We will find HCF of 28 and 32

28= 2X2X7

32= 2X2X2X2X2

Highest common factor of 28 and 32 =2X2=4

Therefore, the principle can makes 4 groups with 7 girls and 8 boys.

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The class size is 10.

The upper limit of the class interval 40 - 50 is 50/

The lower limit of the class interval 20 - 30 is 20.

The frequency of class interval 10 - 20 is 10.

A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.

Class size = upper limit - lower limit

50 - 40 = 10

The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the  upper limit is 30 and the  lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.

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The equation of the tangent line to the curve are  [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]

We can now find the equation, because we know the slope and a point (1, 0).

[tex]y-y_{1} =m(x-x_{1} )\\[/tex]

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]

Therefore, the equation of the tangent line to the curve are  [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].

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Answer:

x = 5

Step-by-step explanation:

3x + 15 = 30  Subtract 15 from both sides of the equation

3x = 15  Divide both sides by 3

x = 5

Answer: x = 24

Step-by-step explanation:

-16 + 24 = 8

The probability that three of the children have sickle cell anemia and three of the children are healthy 13.2%.

Sickle cell anemia is an autosomal recessive condition, the trait is only visible in the homozygous state.

The parents are heterozygous( Aa × Aa), and the progeny (AA, Aa, Aa, and aa) have a normal probability of 3/4 and an affected probability of 1/4.

The binomial theorem can be used to calculate the probability of a normal and affected child:

Probability =  n! / x! ( n! - x!) × pˣqⁿ⁻ˣ.

Here, n is the total children 6,

Let 'x' be the normal child

Then, n! - x! is the affected child.

Let 'p' is the normal child probability (= 3/4) and

Then, 'q' is affected child probability (= 1/4).

Substituting the values in the formula;

probability = (6!/3!×3!)×(3/4)³×(1/4)³

on solving

probability = 0.1318

probability = 13.18%

probability = 13.2% (approximately)

Therefore,  the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy is 13.2%.

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Step-by-step explanation:

1

A: is a function since 2 different x values can have the same y value

B: not a function since the x value 0 gives different values which makes it not a function.

C: since 4 corresponds to 2 different y values it is not a function.

D and E are not function since there are different y values for the same x value.

2: all of the answers are determined by the vertical line test.

A NOT A FUNCTION

B NOT A FUNCTION

C A FUNCTION

D UNCLEAR

E NOT A FUNCTION

hope this helps and make sure to ask any qs if you doubt anything :)

Answer:

-5

Step-by-step explanation:

-5 is the only integer. The other numbers have a decimal that repeats forever.

the answer is A,

when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"

The given algebraic expression 8x ia a one degree polynomial forming the straight line.

Polynomials are algebraic expressions with indeterminates and constants in them.

For the given  algebraic expression 8x;

As, the highest exponent of the variable part 'x' is 1 that is why the degree of the polynomial is one.

This implies that for every value of x there is a single value of value of functions.

This will form the straight line when graph is plotted for them.

Thus, the given algebraic expression 8x is called the one degree polynomial.

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hmmm from the table, let's just pick one point since we know "y" is inversely proportional, so hmmm let's say hmm the point when x = 4 and y = 9/16

a)

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" inversely proportional to }x^2}{ {\LARGE \begin{array}{llll} y = \cfrac{k}{x^2} \end{array}}}\qquad \textit{we also know that} \begin{cases} x=4\\ y=\frac{9}{16} \end{cases} \\\\\\ \cfrac{9}{16}=\cfrac{k}{(4)^2}\implies \cfrac{9}{16}=\cfrac{k}{(16)}\implies \cfrac{9(16)}{16}=k\implies 9=k~\hfill \boxed{y=\cfrac{9}{x^2}}[/tex]

b)

when y = 16, what's "x"?  

[tex]16=\cfrac{9}{x^2}\implies x^2=\cfrac{9}{16}\implies x=\pm\sqrt{\cfrac{9}{16}}\implies x=\pm \cfrac{\sqrt{9}}{\sqrt{16}}\implies \stackrel{positive~value}{x=+\cfrac{3}{4}}[/tex]

Equation have infinity solution

Here the equation is 2q-3q =-q.

After solving this we have

                    -q = -q

As Left-hand side is equal to the right-hand side.

Therefore whatever the value we will put for the q, the left and right hand side remains the same.

Therefore this equation has an infinity solution.

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Answer:

2/9

Step-by-step explanation:

_________________________

Answer:

1 5/9

Step-by-step explanation:

1. 1+1/3 = 1 1/3

2. 1 1/3 x 1 1/3 = 1 7/9

3. 1 7/9 - 2/9 = 1 5/9

The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

We are given a triangle EFG.

In this triangle, we can see that:

∠ E = ∠ F = 23°

Now, we know that the sides opposite to the equal angles are also equal.

So, the side opposite to angle E is GF

And the side opposite to angle F is EF.

This means that EF will be equal to GF.

EF = GF

Now, we are also given that GF = 18 inches.

So, EF will also be:

EF = 18 inches.

Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

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The list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B which is the correct option (C).

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.

We have been given four stocks during the day. The changes for the stocks are shown in the table.

-3/4, 0.7, -1, 0.2

Here the least numbers to the largest numbers, it is said to be in ascending order.

⇒ -1 < -3/4 < 0.2 < 0.7

Arrange the stock in increasing order.

Stock C, Stock A, Stock D, Stock B

Therefore, the list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B.

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Your question is incomplete, probably the missing part is:

Option C) is correct that is the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

The two terms that we have been given are x³ + 2x – 1 and x⁴ – x³ + 3

To find the product of these two terms we will multiply term by term that is

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x³( x⁴ – x³ + 3) + 2x( x⁴ – x³ + 3) - 1( x⁴ – x³ + 3)

                                  =x⁷ – x⁶ + 3x³ + 2x⁵ – 2x⁴ + 6x -  x⁴ + x³ – 3

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

Hence the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

That is option C) is correct

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Answer: 56 inches

Step-by-step explanation:

a. 60+58+64+72=254 (Add the average of his family without including him)

a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)

b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)

you can check your answer by adding all their heights.

Answer:

no. of round trip is 600

Step-by-step explanation:

lets be n is number of 12-ride tickets

and 30n is number of round trip

60n+12n=1440

72n=1440

n=20

30(20)=600

So,the answer of number of round trip is 600

Answer:

the answer due to the question is

1 is thousand

4 is hundred

2 is tens

6 is ones

Number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).

As given,

In 2012, bag per site tested dropped by 62%

Let n be the number of bags per site before 2012

As per condition,

62% of n = 80

⇒(62/100) × n = 80

⇒ n = (80 × 100)/62

      = 129.03

      ≈ 129

Therefore, number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).

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Answer:

$65

Step-by-step explanation:

The original price was x.

x was increased by 20%, so the new price is

x + 20% of x = x + 0.2x = 1.2x

The new price is 1.2x

The new price is $78

1.2x = 78

x = 78/1.2

x = 65

Answer: $65