On Wednesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answer:

The answer would be 0.06

Step-by-step explanation:

Answer:

4.9ft^2

Step-by-step explanation:

7.85 ft is the circumference of the tire (circle), so \(\pi\)d = 7.85.

7.85/\(\pi\\\) = 2.5, the diameter is 2.5, so the radius is 1.25.

\(\pi\)r^2 is the formula for the area, so \(\pi\)*1.25^2 = 1.5625\(\pi\), which is 4.906, which rounded to the tenth is 4.9.

The total number of registered doctors is roughly 183,156 + 52,600 = 235,756 when rounded to the nearest whole number.

In a recent year, 52,600 female registered doctors accounted for 28.7 percent of all registered doctors. The total number of registered physicians, rounded to the nearest whole number,

To begin, calculate the percentage of male registered doctors: 100 percent - 28.7 percent = 71.3 percent, which represents the percentage of male registered doctors.

Find the number of male registered doctors: 0.713 × x = (male registered doctors) 0.713 × x = x - 52,600 0.287 × x = 52,600x = 183,156.42 ≈ 183,156 .
In order to calculate the total number of registered doctors, it is necessary to first find the number of male registered doctors.

The number of female registered doctors has already been provided, which is 52,600. Let x be the total number of registered physicians, then the percentage of female registered doctors can be expressed as:

0.287x = 52,600. Solving for x, we get x = 183,156.42, but this is not a whole number.

To round this to the nearest whole number, we add 0.5 to it (since the decimal is greater than or equal to 0.5), and then take the integer part of the result.

This gives us 183,156 + 0.5 = 183,156.5.

Since this is halfway between 183,156 and 183,157, we round up to 183,157.

Adding the number of female registered doctors to this, we get: 183,157 + 52,600 = 235,757.

So the total number of registered doctors is approximately 235,757 when rounded to the nearest whole number.

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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An actual measurement represents a reading that is taken manually at the physical thickness measurement location on the equipment.

actual measurement = 8.6cm(bird's height), ? (beak)

photo measurement = 52.4(birds height), 1.1 (beak)

if 52.4 = 8.6

1.1 = 1.1 x 8.6

         52.4

= it is roughly 0.18cm

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Answer:

99.75lbs.

Step-by-step explanation:

4 x 18.5=    74lbs

2  x6.75= 13.5

14x 7/8 =98/8=12.25

Answer:  986 becuase that is 65% of the capacity

Step-by-step explanation:

Answer: 986

Step-by-step explanation:

y = (7/6)x - 3

The slope of the given line is 7/6. To find the equation for the linear function g(x) that is perpendicular to the line 7x - 6y = 18 and intersects it at x = 30, we first need to find the slope of the given line.

1. Find the slope of the line 7x - 6y = 18:
To do this, we need to write the equation in the slope-intercept form (y = mx + b), where m represents the slope.

7x - 6y = 18
-6y = -7x + 18
y = (7/6)x - 3

The slope of the given line is 7/6.

2. Find the slope of the perpendicular line:
Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line, g(x), is:

m_g(x) = -6/7

3. Find the y-coordinate of the intersection point:
We know that the line g(x) intersects the given line at x = 30. Plug x = 30 into the given line equation to find the corresponding y-coordinate.

y = (7/6)(30) - 3
y = 35

The intersection point is (30, 35).

4. Find the equation for g(x):
Now that we have the slope and a point on the line g(x), we can use the point-slope form (y - y1 = m(x - x1)) to find the equation.

y - 35 = (-6/7)(x - 30)

This is the equation for g(x) that is perpendicular to the line 7x - 6y = 18 and intersects it at x = 30.

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Answer:

27n + 66p and 12x +75y +21

Answer:

the second one and the fourth one

T-Mobile charges a base fee of $15 per month plus $0.05 for each minute. 300 minutes long would you need to call for them to charge the same amount.

Given that,

T-Mobile charges a base fee of $15 per month plus $0.05 for each minute you are on the phone for any long-distance call, while Verizon has a basic rate of only $10 per month but charges $0.10 for long-distance calls.

We have to find how long would you need to call for them to charge the same amount.

We can write the equation as

15+0.05x=0.10x

0.05x-0.10x=-15

-0.05x=-15

0.05x=15

x=15/0.05

x=300 minutes

Therefore, 300 minutes long would you need to call for them to charge the same amount.

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It will take 80.63 minutes for the element X to decay to 6 grams.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

Element X decays radioactively with a half life of 13 minutes.

There are 430 grams of Element X.

Since, The half life formula to solve the problem is;

\(A = a (0.5)^{\frac{t}{h}\)

Where, A is final amount, a is initial amount, t is time and h is half life.

Now, We have;

A = 6, a = 430, h = 13

Substitute in above equation we get;

\(6 = 430 (0.5)^{\frac{t}{13} }\)

Solve for t as;

Divide by 430,

\(\frac{6}{430} = (0.5)^{\frac{t}{13} }\)

\(\frac{3}{215} = (0.5)^{\frac{t}{13} }\)

Take log both side;

\(ln\frac{3}{215} = ln(0.5)^{\frac{t}{13} }\)

\(ln 3 - ln 215 =\frac{t}{13} ln(0.5)\)

Substitute values of all the log as;

1.09 - 5.37 = t / 13 (-0.69)

- 4.28 = t/ 13 (-0.69)

13 x 4.28 = 0.69t

55.64 = 0.69t

t = 55.64 / 0.69

t = 80.63

Thus, It will take 80.63 minutes for the element X to decay to 6 grams.

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Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) × 100

=37.69%

Answer:

105°

Step-by-step explanation:

m(15) = 75°

Also it's given that m||n . So taking y as transversal ,

m(15) = m(13) = 75°

Also it's given that x||y . So taking m as transversal ,

m(13) = m(5) = 75°

Now m(5) & m(1) are linear pair. So ,

m(5) + m(1) = 180°

=> 75° + m(1) = 180°

=> m(1) = 180° - 75°

= 105°

Answer:

see below

Step-by-step explanation:

When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.

Answer:

A

Explanation:

It is easy (Not trying to be mean)

Answer:

See below for explanation.

Step-by-step explanation:

Each (x, y) point on the unit circle is equal to (cos θ, sin θ).

To find cot θ, where θ is the angle corresponding to the point (x, y) on the unit circle, we can use the formula:

\(\boxed{\cot \theta=\dfrac{\cos \theta}{\sin \theta}=\dfrac{x}{y}}\)

\(\hrulefill\)

If cot θ = 0, then x must be zero. (If y was zero, the value would be undefined). Therefore, we need to find the points on the unit circle where the x-coordinate (cos θ) is zero.

The points on the unit circle where x = 0 are:

The corresponding angles (in radians) at these points are:

    \(\bullet \quad \dfrac{\pi}{2}\;\;\textsf{and}\;\;\dfrac{3\pi}{2}\)

Therefore, the cotangent has the value of zero at π/2 and 3π/2.

\(\hrulefill\)

If we divide a number by the same (but negative) number, we get -1.

Similarly, if we divide a negative number by the same (but positive) number, we get -1.

Therefore, if cot θ = -1, then the x-coordinate and y-coordinate of the points must be the same, but opposite signs.

The points on the unit circle where -x = y and x = -y are:

    \(\bullet \quad \left(-\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)\;\; \textsf{and}\;\;\left(\dfrac{\sqrt{2}}{2},-\dfrac{\sqrt{2}}{2}\right)\)

The corresponding angles (in radians) at these points are:

    \(\bullet \quad \dfrac{3\pi}{4}\;\;\textsf{and}\;\;\dfrac{7\pi}{4}\)

Therefore, the cotangent has the value of -1 at 3π/4 and 7π/4.

Answer:

Step-by-step explanation:

The dividend is represented by synthetic division is 2x³+10x²+x+5.

Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.

Here,

A vertical line and a horizontal line combine to make an L shape.

There are two rows of entries within the shape.

Row 1 has entries 2, 10, 1, 5.

Row 2 has entries blank, -10, 0, -5.

Entry -5 is on the outside to the left of the shape.

The entry represents the zero of the divisor.

This entry to the variable (assume the variable is x) is; 2x³+10x²+x+5.

Hence, the dividend is represented by synthetic division is 2x³+10x²+x+5.

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Answer:

2

Step-by-step explanation:

Answer:

wddfgfgjgfccvnjjxcvbfx bff

Answer:

as attached image shows

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the dimensions of a cuboid cereal box with volume 975 cm³ that is 3 times as wide as deep, and 2 cm shorter than wide.

Let x represent the depth of the box. Then the width is 3 times that, or 3x. The length is 2 cm less than the width, so is (3x -2). The volume is the product of these dimensions.

  V = DWL

  975 = x(3x)(3x -2)

We like to graph an equation like this in the form ...

  f(x) = 0

so the solution is the x-intercept of the graph of f(x). Subtracting 975 puts the equation in that form:

  x(3x)(3x -2) -975 = 0

The attachment shows the graph of x(3x)(3x -2), and that it has its only real solution at x=5. This means the dimensions are ...

__

Alternate solution

Sometimes finding the solution to a cubic isn't easy. As a starting point, we can recognize that 3x-2 is about the same as 3x, so the value of x will be approximately the solution to ...

  975 = x(3x)(3x) = 9x³

  x = ∛(975/9) ≈ 4.8

The nearest integer to this value is x=5, so that can be a good value to check: 5(3·5)(3·5 -2) = 5·15·13 =975. (x = 5 works!)

Iterated solution

We can rewrite the equation as ...

  975 = 3x²(3x -2)

  325 = x²(3x -2)

  325/(3x -2) = x²

  x = √(325/(3x -2))

A value of x will be a solution to this equation if it makes the right side equal to the left side. This equation works as an "iterator," meaning we can use a value of x on the right side, and the value of that function will give a value of x on the left that is closer to the solution. The table in the second attachment shows this convergence to x=5.

It isn't always easy to find a suitable iteration function for a cubic or higher degree polynomial equation. The usual tools are Descartes' Rule of Signs, and the Rational Root Theorem. The best iteration functions are found using calculus.

The mean absolute deviation of 0.08 ounces means that on average, the difference of the weight of the 48 eggs and the mean of 2.1 ounces is of 0.08 ounces.

The last bullet point is used to interpret the mean absolute deviation of 0.08 ounces in the context of this problem.

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The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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Answer:

x = 4 and 3

Step-by-step explanation:

[7±√(-7)²-4(1)(12)]/2

x = 4, 3

Answer:

Main can buy 8 tickets.

Step-by-step explanation:

Use the equation total amount ÷ cost of each ticket

Input your information: $36 ÷ $4.50

The equation adds up to 8.

So therefore, Main can buy 8 tickets.

Answer: x = -10

Step-by-step explanation:

Answer:

(- 10, 10 )

Step-by-step explanation:

6x + 5y = - 10 ( subtract 6x from both sides )

5y = - 10 - 6x → (1)

3x + 5y = 20 → (2)

substitute 5y = - 10 - 6x into (2)

3x - 10 - 6x = 20

- 3x - 10 = 20 ( add 10 to both sides )

- 3x = 30 ( divide both sides by - 3 )

x = - 10

substitute x = - 10 into (2) and solve for y

3(- 10) + 5y = 20

- 30 + 5y = 20 ( add 30 to both sides )

5y = 50 ( divide both sides by 5 )

y = 10

solution is (- 10, 10 )

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Answer:

240 :)

Step-by-step explanation:

easy all u have to do is just add all the sides together but the empty sides with no number u have to try to figure out how much meters that is.

they're both 36 because they're the same size as the meters on the other side.

so its going to be

60+36+36+36+36+36

hope this helps

good luck!

Answer: y = -4x + 13

Step-by-step explanation:

Given points (2, 5) and (3, 1)

First Step find the slope given the two points:

Use the slope formula \(m=\frac{y2 - y1}{x2 - x1}\)

\(m = \frac{1-5}{3-2} = -4\) (Result)

Slope is equal to -4

Second step plug into y - y1 = m(x - x1) formula (Point Slope Formula)

For this I am using the first coordinate pair given (2, 5)

y - 5 = -4(x-2)

y - 5 = -4x + 8

y = -4x + 13

Answer:

\(12^{12}\)

Step-by-step explanation:

Using exponent rules, we know that:

\(x^a \div x^b = x^{a-b}\).

Since we are dividing \(12^{16}\) by \(12^4\), then simplified, this totals out to \(12^{16-4}\) or \(12^{12}\).

Hope this helped!

Answer:

\(12^{12}\)

Step-by-step explanation:

\(\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}\)

Hope this helps.

Given statement solution is :- The Dividend Valuation Model value of the stock is approximately $8.87 when rounded to the nearest cent.

To calculate the value of the stock, we need to find the present value of the dividends and the future dividends.

First, let's find the present value of the dividends for the next three years. We'll discount each dividend by the required rate of return.

PV(dividend year 1) = $1 / \((1 + 0.19)^1\) = $0.84

PV(dividend year 2) = $4 / \((1 + 0.19)^2\) = $2.71

PV(dividend year 3) = $8 / \((1 + 0.19)^3\)= $5.15

Next, we need to calculate the future dividends starting from year 4. We can use the Gordon growth model to estimate these dividends. The formula for the nth year's dividend is:

Dividend(n) = Dividend(n-1) * (1 + growth rate)

The growth rate is given as 7%, so we can calculate the future dividends using this formula.

Dividend(4) = $8 * (1 + 0.07) = $8.56

Dividend(5) = $8.56 * (1 + 0.07) = $9.17

Dividend(6) = $9.17 * (1 + 0.07) = $9.80...

We'll continue this pattern indefinitely.

Now, let's calculate the present value of the future dividends using the Gordon growth model. We'll use the formula:

PV(future dividend) = Dividend(n) / (required rate of return - growth rate)

We'll calculate the present value of the dividends starting from year 4 and sum them up.

PV(future dividend year 4) = $8.56 / (0.19 - 0.07) = $64.20

PV(future dividend year 5) = $9.17 / (0.19 - 0.07) = $76.07

PV(future dividend year 6) = $9.80 / (0.19 - 0.07) = $89.42...

Now, we'll sum up the present value of the dividends for the next three years and the future dividends.

Total PV(dividends) = PV(dividend year 1) + PV(dividend year 2) + PV(dividend year 3) + PV(future dividend year 4) + PV(future dividend year 5) + PV(future dividend year 6) + ...

Total PV(dividends) = $0.84 + $2.71 + $5.15 + $64.20 + $76.07 + $89.42 +...

Since the future dividends are growing indefinitely, we have an infinite geometric series. The sum of an infinite geometric series can be calculated using the formula:

Sum = a / (1 - r)

where "a" is the first term and "r" is the common ratio.

In our case, the first term "a" is $64.20, and the common ratio "r" is (1 + growth rate) = (1 + 0.07) = 1.07.

Total PV(dividends) = $0.84 + $2.71 + $5.15 + $64.20 / (1 - 1.07)

Total PV(dividends) = $0.84 + $2.71 + $5.15 + $64.20 / (-0.07)

Total PV(dividends) ≈ $8.87

Therefore, the Dividend Valuation Model value of the stock is approximately $8.87 when rounded to the nearest cent.

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