It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?

Note that the limit of the expression as x approaches infinity is 1/2.

start by multiplying both the numerator and denominator by the conjugate  expression

√ (x ² - 9x + 1) + x,

this will eliminates the root in the numerator

lim x->∞ [(√(x ² - 9x + 1) - x)  * (√(x² - 9x + 1) + x)] / (√(x² - 9x + 1) + x)

Expanding the numerator

lim x- >∞ [(x² - 9x + 1) - x^2] / (√(x² - 9x + 1) + x)

Simplifying further:

lim x->∞ [(1 - 9/x + 1/ x²)] / (√(1 - 9/x + 1 /x²) + 1)

we can see that the 1/x ² term approaches zero, and the expression simplifies to

lim x->∞ [(1 - 0)]  / (√(1 - 0) + 1)

= 1/2

So it is correct to state that the limit of the expression as x approaches infinity is 1/2.

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The domain of the reciprocal parent function is all real numbers except 0, therefore option B is correct.

For the given reciprocal function

f(x) = 1/x

The denominator x cannot be 0, because it will give an undefined value.

Therefore, the reciprocal function domain and range is the set of all real numbers excluding 0.

i.e., f(x) = 1/x where x = Real number excluding 0.

Therefore the option b is true.

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Answer:

2 and a quarter days

Step-by-step explanation:

30+10=40

90-80=10

10 is a quarter of 40

Answer: $ 1792

Step-by-step explanation:

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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B. the test scores of other students worldwide are not compared in Aspire test.

In general, a test is a methοd οr tοοl used tο evaluate the knοwledge, skills, abilities, οr perfοrmance οf an individual οr grοup οf individuals. Tests are cοmmοnly used in educatiοnal settings, as well as in fields such as psychοlοgy, medicine, and emplοyment screening.

Tests can take variοus fοrms, such as written οr οral exams, practical assessments, standardized tests, οr psychοlοgical evaluatiοns. They are used tο measure a range οf abilities οr characteristics, such as academic achievement

B. the test scοres οf οther students wοrldwide.

Aspire is a standardized test used in the United States tο measure student academic prοgress in grades 3-8. The test scοres are cοmpared tο οther students at the natiοnal, state, and schοοl level, but nοt wοrldwide. The test is designed tο prοvide infοrmatiοn abοut hοw well students are meeting academic standards in key subject areas, such as reading, math, and science.

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Complete question:

Your test scores for the Aspire test are compared to all of the following

except.

A. the test scores of other students nationwide.

B. the test scores of other students worldwide.

C. the test scores of other students in your school.

D. the test scores of other students in your state.

B. the test scores of other students worldwide are not compared in Aspire test.

In general, a test is a methοd οr tοοl used tο evaluate the knοwledge, skills, abilities, οr perfοrmance οf an individual οr grοup οf individuals. Tests are cοmmοnly used in educatiοnal settings, as well as in fields such as psychοlοgy, medicine, and emplοyment screening.

Tests can take variοus fοrms, such as written οr οral exams, practical assessments, standardized tests, οr psychοlοgical evaluatiοns. They are used tο measure a range οf abilities οr characteristics, such as academic achievement

B. the test scοres οf οther students wοrldwide.

Aspire is a standardized test used in the United States tο measure student academic prοgress in grades 3-8. The test scοres are cοmpared tο οther students at the natiοnal, state, and schοοl level, but nοt wοrldwide. The test is designed tο prοvide infοrmatiοn abοut hοw well students are meeting academic standards in key subject areas, such as reading, math, and science.

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Complete question:

Your test scores for the Aspire test are compared to all of the following

except.

A. the test scores of other students nationwide.

B. the test scores of other students worldwide.

C. the test scores of other students in your school.

D. the test scores of other students in your state.

Step-by-step explanation:

here is something that might help

The height of the trapezoid is 3.636 in.

Videos of quantity does that explains the size of two dimensional figure are safe or planner lamania in the plane. It is be thought of as the amount of surface that is safe covers calculating the area of a safe or surface can be an important step in many mathematical problem there are several methods for calculating area including the use of geometric formula and equations as well as using tools such as ruler or calculator.

To solve this problem, we must use the formula for finding the area of a trapezoid. A trapezoid has two parallel sides, known as the bases, and two non-parallel sides, known as the legs. The area of a trapezoid is equal to the sum of the bases multiplied by the height, then divided by two. Therefore, the formula to solve this problem is: A = (b1+b2)h/2.

In this case, b1 = 18 in and b2 = 22 in, and we are looking for the height (h). Plugging these values into the formula, we get: A = (18 + 22)h/2 = 96 in². To solve for h, we can multiply both sides of the equation by 2: 96 = (18 + 22)h. Then, subtract 18 from both sides of the equation: 78 = 22h. Finally, divide both sides of the equation by 22: h = 78/22 = 3.636 in. Therefore, the height of the trapezoid is 3.636 in.

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Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

Answer:

≈ $9164.35

Step-by-step explanation:

The future amount A is calculated as

A = P \((1+\frac{r}{n}) ^{nt}\)

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3

A = 15000 \((1+\frac{0.16}{12}) ^{(12(3))}\)

   = 15000 (\((1.01333)^{36}\)

   ≈ 24164.35

Interest paid = $24164.35 - $15000 = $9164.35

Answer:

The future amount A is calculated as

A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Answer:

for every 1 12th grader 3 10th garders

Step-by-step explanation:

The solution to the variables are x = 7 and y = 4

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

Shape = Triangle

The marks on the triangles imply that

So, we have the following representation

3x - 5 = 5y - 4

3x - 5 = y + 12

Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4

y + 12 = 5y - 4

Evaluate the like terms

4y = 16

So, we have

y = 4

Substitute y = 4 in 3x - 5 = y + 12

3x - 5 = 4 + 12

So, we have

3x = 21

This gives

x = 7

Hence, the values are x = 7 and y = 4

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Answer:

1) x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

2) x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Step-by-step explanation:

1.-Quantity of salt in the tank after t minutes

The rate  of change of the quantity of salt in the tank is:

dx(t) /dt   =  original quantity (0) + input quantity - output quantity  (1)

quantity = concentration* rate   Then

input quantity   =  0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min  =  0.2 Kg/min

+ 0.6  Kg/min  =  0,8 Kg/lt

output quantity =  Output concentration * rate of draining

rate of draining = 15 Lt/min

The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant  1000Lt.

output quantity = (x/1000 )*15

Plugging these values in equation (1) we get.

dx/dt  =  0,8  -  ( x/1000)* 15

The last one is a differential first-order equation like

x´ +  P(t)*x = q(t)

and the solution is:

x*μ   =  ∫ q(t)*μ*dt  + C

where    μ  is the integration factor   e ∧ ∫p(t)*dt

let´s call  b = -15/1000

μ = e ∧ ∫p(t)*dt  =  e∧∫ b*dt  =  e∧ b*t = e∧ ( -15/1000)*t

μ  =  e∧ - (15/1000)*t

Then  x*μ    =   x *  e∧ - (15/1000)*t

∫ q(t)*μ*dt  = ∫  0.8 * e∧ - (15/1000)*t*dt  =  0.8 * ∫ e∧bt * dt  

 ∫ q(t)*μ*dt  = 0.8 * ( 1/b ) e∧bt  = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t

∫ q(t)*μ*dt  = - (12/1000)*  e∧ ( - 15/1000)*t

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t + C

Initial condition  t = 0  x = 0

0  =  - (12 / 1000 )* e⁰ = C

C = 12/1000

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000

x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

When t = 60 min

x =   [ - (12/1000)*  e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12

x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

If several students wonder which is a better buy a 40 pack of pencil top The option that is the best is option 2 because it is cheaper.

Option 1

40 pack of pencil top erasers  =  2.82/ 40

40 pack of pencil top erasers = 0.07

40 pack of pencil top erasers = 7 cent cost of each pack

Option 2 :

2 pack of pencil top erasers =0.12/ 2  

2 pack of pencil top erasers = 0.06        

2 pack of pencil top erasers = 6ent  a pack

Based on the above calculation  the second option is better than the first option based on the fact that you tend to get pencils cheaper per pack.

Therefore option 2 is better.

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The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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we set y for 0 and get x = -5

this is your x-intercept

we set x for 0 and get 5y = -5

y = -1

(-5,0)

(0,-1)

hope this helped :)

we have that

the quadratic formula is of the form

Ax^2+Bx+C=0 ------> that is the standard form of the quadratic equation

A quadratic equation can be written in vertex form

so

y=a(x-h)^2+k

where

(h,k) is the vertex of the quadratic equation

a is the leading coefficient

To convert vertex form to the standard equation

step 1

y=a(x-h)^2+k

y=a(x^2-2hx+h^2)+k

y=ax^2-2ahx+ah^2+k

group terms

y=ax^2-2ahx+(ah^2+k)

equate to zero

ax^2-2ahx+(ah^2+k)=0

where

the coefficients A, B and C are

therefore

To convert a quadratic equation in vertex form to standard form, apply the formula above

Answer:

1296$

Step-by-step explanation:

0.08*1350 = 108

108* 12= 1296

Thats the simplest way I can tell you

<3

Answer:

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

Let the length be l and width be w.

Given:

Substitute l and solve for w:

Find the value of l:

Answer:

No they are not proportional

Step-by-step explanation:

They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk

Answer:

no its not proportainal

Step-by-step explanation:

Answer:

C. 33%

Step-by-step explanation:

Theres a total of 15 cows

10+5=15

We know that 5 of those 15 cows are brown.

5 divided by 15=0.334

Answer:

\(\textsf{a)} \quad P=-20(x-2)^2+3380\)

b)  cost of ticket = $13

    max profit = $3380

    number of tickets sold = 260

Step-by-step explanation:

Profit equation:   \(P=20(15-x)(11+x)\)

Vertex form of quadratic equation:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex and \(a\) is some constant)

First, write the given profit equation in standard form \(ax^2+bx+c\):

\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)

Factor -20 from the first two terms:

\(\implies P=-20(x^2-4x)+3300\)

Complete the square:

\(\implies P=-20(x^2-4x+4)+80+3300\)

\(\implies P=-20(x-2)^2+3380\)

The vertex of the profit equation is (2, 3380).

Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13

The maximum profit is the y-value of the vertex:  $3380

The number of tickets sold at this price is:

⇒ max profit ÷ ticket price

= 3380 ÷ 13

= 260

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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The year in which Gert will find that she has doubled her money is year 20.

Simple interest is when the interest earned on an investment increases linearly each year.

The formula that can be used to determine simple interest is:

Simple interest = amount invested x duration of the investment x interest rate.

When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).

Year when investment would have doubled  = simple interest / (amount invested x interest rate)

Year when investment would have doubled  = $2000 / (0.05 x 2000)

Year when investment would have doubled  = $2000 / 100 = 20 years

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\(\large{\rm{\underline{\underline{Answer:}}}}\)

Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,

⇛ Angle AEB = Angle DEC

⇛ 9x + 8° = 3x + 42°

⇛ 9x - 3x = 42° - 8°

⇛ 6x = 34°

⇛ x = (34/6)°

To find: Angle DEC = 3(

34/6 °) + 42° = 59° (Ans)

Answer:

cm^3 can be used to represent volume.

Figure C appears to have all sides and angles the same.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

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