Jake says that there should be a decimal point in the quotient 142.45 ÷ 7.4 = 1,925 after the 2.

Part A
Which equation shows the best estimate for the quotient?
A. 150 ÷ 10 = 15
B. 150 ÷ 5 = 30
C. 140 ÷ 10 = 14
D. 140 ÷ 7 = 20
Part B
Use the drop-down menus to explain whether Jake is correct.
Jake
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correct because 192.5
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close to the estimate. The decimal point belongs after the
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.

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

\(\angle P\)

Step-by-step explanation:

Given

\(\triangle PRQ = \triangle TSU = 90^o\)

\(PQ = 20\)     \(QR = 16\)    \(PR = 12\)

\(ST = 30\)       \(TU = 34\)    \(SU = 16\)

See attachment

Required

Which sine of angle is equivalent to \(\frac{4}{5}\)

Considering \(\triangle PQR\)

We have:

\(\sin(P) = \frac{QR}{PQ}\) --- i.e. opposite/hypotenuse

So, we have:

\(\sin(P) = \frac{16}{20}\)

Divide by 4

\(\sin(P) = \frac{4}{5}\)

Hence:

\(\angle P\) is correct

Answer:

A or <P

Step-by-step explanation:

on edge 2021

Quadratic equations is an equation that has a standard form of a·x² + b·x + c = 0

The correct values are presented as follows;

(a) If the pottery makes 5 bowls a week, the number of plates that can be made is 18 plates

(b) The maximum number bowls produced in a week is 15 Bowls

The reason the above values are correct are as follows:

The given relation between the number of bowls, B, and plates, P, that can be made in a week is presented as follows;

2·B² + 5·B + 25·P = 525

(a) Required: The number of plates that can be made if five (5) bowls are made each week

Solution:

To find out the number of plates that can be made, the given number of bowls (5) is placed in the equation as follows;

When B = 5, we get;

2 × 5² + 5 × 5 + 25·P = 525

25·P = 525 - (2 × 5² + 5 × 5) = 450

P = 450/25 = 18

P = 18

If the pottery makes 5 bowls a week, the number of plates that can be made, P = 18 plates

(b) Required: To find the maximum number of bowls that can be produced each week

Solution:

The given relation is rewritten as follows;

2·B² + 5·B + 25·P = 525

Given that the sum of the bowls B, produced and plates, P, produced is a constant, the maximum number of bowls is produced when the minimum number of plates are made

Therefore, when no plates are made, we get;

P = 0

2·B² + 5·B + 25×0 = 525

2·B² + 5·B = 525

2·B² + 5·B - 525 = 0

Factorizing with a graphing calculator, or by the quadratic formula, gives;

Calculator: (B - 15)·(2·B + 35) = 0

Quadratic formula: B = (-5 ± √(5² - 4 × 2 × (-525)))/(2 × 2)

∴ The maximum number bowls, B = 15 or -35/2

The positive value of B is used, therefore;

The maximum number bowls produced in a week = 15 Bowls

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Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

Answer:-6 and -4

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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9514 1404 393

Answer:

  -2

Step-by-step explanation:

The average rate of change on the interval [3, 9] is ...

  (f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2

Answer:

w = 90 feet and l = 490 feet

Step-by-step explanation:

First, determine what you're given:

Perimeter = 1,160 feet

Perimeter = 1,160 feetlength = (w)idth + 400

idth + 400width = w

Next, solve for the length and the width using the perimeter equation (2l + 2w = Perimeter)

2(400+w) + 2w = 1,160 feet

(800 + 2w) + 2w = 1,160 feet

800 + 2w + 2w = 1,160 feet

800 + 4w = 1,160 feet

{ Subtract 800 from both sides }

4w = 360 feet

{ Divide both sides by 4 to isolate w }

w = 90 feet

Finally, you've solved for the width which is 90 feet. Plug this back into your equation for length;

[ l = 400 + w ]

l = 400 + (90)

l = 490 feet

Since it never hurts to check;

2l + 2w = 1,160 feet

2(400+w) + 2w = 1,160 feet

2(400+90) + 2w = 1,160 feet

✅2(490) + 2(90) = 1,160 feet

The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

In one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:

Monthly service fee = $90 / 12 = $7.50

Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:

Monthly income = 2 * $1,150 = $2,300

Therefore, Kevin's monthly change in his bank account is:

Monthly change = Monthly income - Monthly service fee

Monthly change = $2,300 - $7.50 = $2,292.50

So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50

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Answer:

The answer would be 6/18 or 3/9

Step-by-step explanation:

Answer:

if dividing...0.3

if multiplying...0

Step-by-step explanation:

Answer:

Answer:

Arc QR = 111.5°

Step-by-step explanation:

Given:

Arc QR = (3x + 38)°

Arc PS = (5x - 10)°

m<QMP = 68°

Required:

Measure of arc QR

Solution:

Recall: Angles of intersecting chords theorem states that the angle formed equals half of the sum of the intercepted arcs

This by implication means:

m<1 = ½(arc QR + arc PS)

We are given arc QR, and arc PS.

m<1 = 180° - m<QMP (angles on a straight line)

m<1 = 180° - 68°

m<1 = 112°

Plug in the values into the equation and solve for x

112° = ½(3x + 38 + 5x - 10)

Multiply both sides by 2

2*112 = 3x + 38 + 5x - 10

224 = 3x + 38 + 5x - 10

Add like terms

224 = 8x + 28

224 - 28 = 8x + 28 - 28

196 = 8x

196/8 = 8x/8

24.5 = x

x = 24.5

✅Let's find arc QR

Arc QR = (3x + 38)°

Plug in the value of x

Arc QR = 3(24.5) + 38 = 73.5 + 38

Arc QR = 111.5°

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

EXPLANATION

Since we have the inequality x - y < 4

Subtracting -x to both sides:

-y < 4 - x

Dividing both sides by -1 and reversing:

y > -4 + x

Rearranging terms:

y > x - 4

Now, we need to represent the expression on a graph.

We can see that this is a line and we can take some points in order to graph, as shown as follows:

x y>x-4 =

0 y> 0-4 = -4

1 y> 1-4 = -3

2 y> 2-4 = -2

The graph is the following:

Answer:

l = 2.25 cm

Step-by-step explanation:

given l is inversely proportional to w² then the equation relating them is

l = \(\frac{k}{w^2}\) ← k is the constant of proportion

(i)

to find k use the condition w = 1.5 , l = 16 , then

16 = \(\frac{k}{1.5^2}\) = \(\frac{k}{2.25}\) ( multiply both sides by 2.25 )

36 = k

l = \(\frac{36}{w^2}\) ← equation of proportion

(ii)

when w = 4 , then

l = \(\frac{36}{4^2}\) = \(\frac{36}{16}\) = 2.25 cm

Answer:

C)  \(g(x) = -x^2 - 3\)

Step-by-step explanation:

The function has been reflected in the x-axis, so -f(x)

then translated by 3 units down, so -f(x) - 3

Therefore, \(g(x) = -x^2 - 3\)

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

36\(\pi\) square units

Step-by-step explanation:

The approximate solution of the linear system represented by the graph is, (5, 6)

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

A graph in which two lines are intersecting each other,

basically solution of linear system means where both the lines will intersect,

So, in the graph it can be seen that lines are intersecting around x coordinate 5 and y coordinate 6,

Therefore, the solution is (5, 6)

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The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

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Answer:

1/27 if that's what u want

Step-by-step explanation:

How to solve your problem

3

6

3

1

0

⋅

3

1

\frac{3^{6}}{3^{10}} \cdot 3^{1}

31036​⋅31

Solve

1

Evaluate the exponent

3

6

3

1

0

⋅

3

1

\frac{{\color{#c92786}{3^{6}}}}{3^{10}} \cdot 3^{1}

31036​⋅31

7

2

9

3

1

0

⋅

3

1

\frac{{\color{#c92786}{729}}}{3^{10}} \cdot 3^{1}

310729​⋅31

2

Evaluate the exponent

7

2

9

3

1

0

⋅

3

1

\frac{729}{{\color{#c92786}{3^{10}}}} \cdot 3^{1}

310729​⋅31

7

2

9

5

9

0

4

9

⋅

3

1

\frac{729}{{\color{#c92786}{59049}}} \cdot 3^{1}

59049729​⋅31

3

Divide the numbers

7

2

9

5

9

0

4

9

⋅

3

1

{\color{#c92786}{\frac{729}{59049}}} \cdot 3^{1}

59049729​⋅31

1

8

1

⋅

3

Answer:

690

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Answer:

6

Step-by-step explanation:

4 x 6 = 24 L

The required interest rate per annum is given as 3.2%.

Given that,
At what interest rate per annum will $1500 earn $48 per year is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here.
Let the required percentage be x,
According to the question,
48 = 1500 × x × 1 / 100
4800 / 1500 = x
x = 3.2 %

Thus, the required interest rate per annum is given as 3.2%.

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Answer:

6 pencils

Step-by-step explanation:

30/5=6