15. Isabel made the following graph to show
the daily share price for Company XYZ.
What was the change in the price from
Monday to Friday?

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Answer:

Mean of original test scores is 88.5

Mean of test scores , with three marks added to each score is 91.5

The mean of the test score with three marks added to each score is higher than the original mean of score is increased by three .

Explanation : hope it works out !!

Answer:

which one?

Step-by-step explanation:

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

The coordinate of the point C will be (b, c). Then the correct option is A.

The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.

The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

In a regular pentagon, there are five line of symmetry.

In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.

The point C is in the first coordinate, then the abscissa and ordinate will be positive.

Then the coordinate of the C will be (b, c).

Then the correct option is A.

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Answer:

Step-by-step explanation:

Vale, para ayudarte con este problema debemos recordar que el costo marginal C'(X) es básicamente la derivada de la función de costo C(X), por tanto, para hallar el costo de producir 200 unidades de los productos ABC, debemos seguir los siguientes pasos:

1. Calcular la antiderivada de la función de costo marginal:

C(X) =

C(X) =

C(X) =

C(X) =

C(X) =  donde k = Constante

2. Evaluar la expresión obtenida con la información adicional que nos dan para obtener el valor de k:

Sabemos que el costo de producir 100 unidades es $1.005, por tanto...

C(100) = $1.005

C(X) =

C(X) =

C(X) = 300 + 0,001 (5.000) + k

C(X) = 300 + 5 + k

1.005 - 300 - 5 = k

k = 700

Una vez que sabemos esto, podemos hallar el costo de producir 200 unidades:

C(X) =

C(200) =

C(200) =

C(200) = 600 + 0,001 (20.000) + 700

C(200) = 600 + 20 + 700

C(200) = $1.320

Finalmente, para determinar el incremento de la utilidad si el volumen de ventas se incrementa de 1.000 a 2.000 unidades, sabiendo que cada unidad se vende a un precio de $5, debemos recordar que la utilidad de obtiene al restar de los ingresos (Unds. vendidas × Precio de Vta.), los costos de producir esas unidades.

Por tanto:

⇒ Ingresos al vender 1.000 unidades = I(X) = 1.000 × $5

I(1.000) = $5.000

- Costos de producir 1.000 unidades = C(X)

- C(1.000) =

- C(1.000) =

- C(1.000) = 3.000 + 0,001 (500.000) + 700

- C(1.000) = $4.200

U(X) = I(X) - C(X)

U(1.000) = $5.000 - $4.200

U(1.000) = $800

⇒ Ingresos al vender 2.000 unidades = I(X) = 2.000 × $5

I(2.000) = $10.000

- Costos de producir 2.000 unidades = C(X)

- C(2.000) =

- C(2.000) =

- C(2.000) = 6.000 + 0,001 (2.000.000) + 700

- C(2.000) = $8.700

U(X) = I(X) - C(X)

U(2.000) = $10.000 - $8.700

U(2.000) = $1.300

Si el volumen de venta se incrementa de 1.000 a 2.000 unidades, la utilidad sufrirá un incremento de $500.

Espero que sea de ayuda!

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

Options F and G are the correct answer.

We have,

The number of students in Henderson High School.

Work = 96

College = 114

Armed forced = 48

Other = 42

The number of students in Johnson High School.

Work = 30

College = 40

Armed forced = 15

Other = 15

From the information,

The number of students in Work for Henderson High School is greater than Johnson High School.

Now,

Henderson High School:

Armed force and other = 48 + 42 = 90

Mode = college

Johnson High School.

Armed force and other = 15 + 15 = 30

Mode = college

Thus,

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

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Answer:

9(5 + 8)

Step-by-step explanation:

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

X=11 trust me on my mom

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

8

Step-by-step explanation:

Answer:

it would be C

Step-by-step explanation:

because she had a 50/100 percent chance to get potato chips rather than pretzels.

The surface area of the square pyramid is \($50\sqrt{3} + 25$\) square miles.

The Pythagorean to find the height of the pyramid.

The slant height is the hypotenuse of a right triangle with the height as one leg and half the side length as the other leg:

\($h^2 = 5^2 - (\frac{1}{2} \cdot 5)^2\)

= \(25 - \frac{25}{4}\)

= \(\frac{75}{4}$\)

\($h\) = \(\frac{\sqrt{75}}{2}\)

= \(\frac{5\sqrt{3}}{2}$\)

The formula for the surface area of a square pyramid:

\($A = \frac{1}{2}Pl + B$\)

\($P$\) is the perimeter of the base \($l$\) is the slant height and \($B$\) is the area of the base.

The perimeter of the base is \($4 \cdot 5 = 20$\) and the area of the base is \($5^2 = 25$.\)

Plugging in the values, we get:

\($A\) = \(\frac{1}{2} \cdot 20 \cdot 5\sqrt{3} + 25\)

= \(50\sqrt{3} + 25$\)

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Answer:

470 x 1.1 = 517

Step-by-step explanation:

Explanation:

Each box contains

The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

This means that for every one onionbagels in the box, there are 2 blueberry bagels

Part B:

Given that there are 20 blueberry bagels, the number if onion bagels will be calculated below as

Hence,

The final answer is

Answer:

x= a

Step-by-step explanation:

The solution is in the attached file.To get the solution,you have to equate to zero

Check the picture below.

\(\cos(\theta )=\cfrac{\stackrel{adjacent}{5}}{\underset{hypotenuse}{11}} \implies \cos^{-1}(~~\cos( \theta )~~) =\cos^{-1}\left( \cfrac{5}{11} \right) \\\\\\ \theta =\cos^{-1}\left( \cfrac{5}{11} \right)\implies \theta \approx 63^o\)

Make sure your calculator is in Degree mode.

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Answer:

1

Step-by-step explanation:

So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x

Answer:

Hi there! The answer to this question is 1.

Hope this helps :D

The lengths of the bases are: 4cm and 12cm.

Since the area of a trapezoid is given by the formula;

Where a and b are the lengths of the bases and h is the height of the trapezoid.

Hence, in this case scenario; it follows that;

a = x = 4cm

b = 3x = 12cm.

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The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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Answer:

Step-by-step explanation: I’m on this lesson right now, I took a guess at it because I don’t understand it at all (I’m supposed to be financial literacy, then trig) but I know that the first one is E and that the second one is NOT A, the third one is NOT D, and the fourth one is NOT F. I hope this helps someone in some way lol.

The following points of the figure match with the following polar coordinates:

Polar coordinates are described by magnitude (r) and direction (θ), in radians. When the magnitude is negative is antiparallel to the positive case, that is, the direction of the form is π radians more in the direction orientation.

Based on the comparison between the given points and graphs, we have the following conclusions:

(- 4, - 3π/4) → E

(4, 7π/4) → F

(4, 3π/4) → C

(- 4, - 7π/4) → D

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the sum of exterior angles of any n-gon is 360.

Sum of exterior angles of a 33-gon is 360°

Answer:

Step-by-step explanation:

a. 100005

1 x 1000000 + 0 x 100,000 +  0 x 10000 + 0 x 1000 + 0 x 100 +  0 x 10 + 5 x1

1 x 10^6  + 0  x 10^5  + 0 x 10^4  + 0 x 10^3 + 0 x 10^2 +  0 x 10^1  + 5 x 1

= 100,000 + 0 + 0 +0 +0 + 5

b.  84016

 8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1

80000 + 4000 + 0 + 10 + 6

c. 9078

9 x 1000 + 0 x 100 + 7 x 10  + 8 x 1

9000 + 0 +7 + 8

d. 113

1 x 100 + 1 x 10 + 3 x 1

100 + 10 + 3

e. 75

7 x 10 + 5 x 1

70 + 5