Use the following bond listing for Pacific Bell to answer the following:
A 5-column table with 1 row. Column 1 is labeled Bonds with entry PacBell 6 and StartFraction 5 Over 8 EndFraction 34. Column 2 is labeled current yield with entry 6.55. Column 3 is labeled Volume with entry 5. Column 4 is labeled Close with entry 99 and one-fourth. Column 5 is labeled net change with entry + StartFraction 1 Over 8 EndFraction.



What was the closing price of the bond? What was the dollar amount?
a. 106 5/8; $966
b. 6 5/8; $6625
c. 99 1/4; $993.45
d. 99 1/4; $992.50

Answer:

32%

First you have to round to the nearest hundredth.

0.323

Since 3 is less than 5 it this number will not change.

We now know that our decimal is 0.32

Now we simply move the decimal point over twice to the right:

32.00

Our percentage is 32%!

Step-by-step explanation:

The algorithm to write the binary representation of the positive integer "64" is explained below and the binary representation of 64 is 1000000 .

Step(i) : 64 divided by 2 gives a quotient of 32 with a remainder of 0.

Step(ii) : 32 divided by 2 gives a quotient of 16 with a remainder of 0.

Step(iii) : 16 divided by 2 gives a quotient of 8 with a remainder of 0.

Step(iv) : 8 divided by 2 gives a quotient of 4 with a remainder of 0.

Step(v) : 4 divided by 2 gives a quotient of 2 with a remainder of 0.

Step(vi) : 2 divided by 2 gives a quotient of 1 with a remainder of 0.

Step (vii) : 1 divided by 2 gives a quotient of 0 with a remainder of 1.

So , we observe that  the remainders, read from bottom to top, are 1000000.

Therefore, the binary representation of "64" is 1000000 in binary.

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The given question is incomplete , the complete question is

Find the binary representation of the positive integer "64" by working through an algorithm by hand .

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:I think it might be c I’m not 100% sure tho

Step-by-step explanation:

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

The composite figure consist of two figure one triangle with base b = 8 ft and height h = 7 ft and other semi circle with diameter of d = 8 ft.

Determine the area of composite figure.

So area of composite figure is 53.12 feet square.

Answer:

solution given:

∆ABC is a right angled isosceles triangle

perpendicular [p]=base [b]=a=b

hypotenuse [h]=3ft

By using Pythagoras law

h²=p²+b²

3²=a²+a²

9=2a²

a=√(9/2)=\( \frac{3 \sqrt{2} }{2} \)

so

a=b=\( \frac{3 \sqrt{2} }{2} \)

There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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ycctc4ctctctctctctctctc5ctvtv5crctc5ctv5

Answer:

sin theta = 15/17

Step-by-step explanation:

Let theta be A

sin^2 A = 1 - cos^2 A

sin^2 A = 1 - ( 8/17 )^2

sin^2 A = 1 - 64/289

sin^2 A = 289 - 64 /289

sin^2 A = 225 / 289

sin A = root 225/289

sin A = 15/17

so sin theta = 15/17

Answer:

Hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

5^2=4^2+c^2.

c^2=25-16.

c^2=9.

c=√9.

c=3cm.

Answer:

I think its B. Equivalent Fraction

Answer:

b=10

Step-by-step explanation:

I think the other part would be √-300   √3   but that's the best i could do

Answer:

Step-by-step explanation:

Given

\(Length = 450\ m\)

\(Width = 1200\ m\)

Required

Determine the number of hectares  in this dimension

First, we need to calculate the area of the land

\(Area = Length * Width\)

\(Area = 450m * 1200dm\)

Convert dm to m

\(Area = 450m * 120m\)

\(Area = 54 000 m^2\)

\(1 hectare = 0.0001m^2\)

So, we have:

\(1\ hectare = 0.0001m^2\)

Multiply by 54000

\(Hectare = 0.0001 * 54000\)

\(Hectare = 5.4\)

Hence, there are 5.4 hectares

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

____________________________________

\( \large \tt Solution \: : \)

The values of x for which curves cuts/touches the x - axis are the roots of that particular polynomial.

And that polynomial can be depicted in form :

\(\qquad \tt \rightarrow \: a(x - h1) (x - h2) (x - h3)........ (x - hn) = 0\)

[ where, h1, h2, h3... hn represents roots of that polynomial, and " a " is the stretch of curve]

And by that, we can sort out the roots of given polynomial that are :

Since there are four roots, the least degree polynomial formed will have bi - quadratic polynomial.

And it will be represented as :

\(\qquad \tt \rightarrow \: y=a(x - ( - 3)) (x - ( - 2))(x - 1)(x - 2) \)

\(\qquad \tt \rightarrow \:y=a (x + 3)(x + 2)(x - 2)(x - 1) \)

And it can be further solved to get ~

\(\qquad \tt \rightarrow \: y=a(x + 3)( {x}^{2} - 4)(x - 1)\)

\(\qquad \tt \rightarrow \:y= a( {x}^{2} - 4)( {x}^{2} + 2x - 3)\)

\(\qquad \tt \rightarrow \: y=a( {x}^{4} + 2 {x}^{3} - 3 {x}^{2} - 4 {x }^{2} - 8x + 12)\)

\(\qquad \tt \rightarrow \: y=a({x}^{4} + 2 {x}^{3} - 7{x }^{2} - 8x + 12)\)

Now, it's time to evaluate the value of a, for that we can just use a point that satifys the curve ( i.e (0 , -2)

plug in the values :

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0⁴ +2(0)³-7(0)²-8(0) + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a(0 +0-0-0 + 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {-2= a( 12 )} \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -2 ÷ 12 } \)

\(\qquad\displaystyle \tt \rightarrow \: {a= -1/6} \)

Therefore, the required equation is :

\(\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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Answer:

4 bags of balloons and 3 bags of party hats

Step-by-step explanation:

1.50 x 4= 6

6 x 3= 18

6+18=24

The equation that could be used to determine different combinations will be 4b + 3h.

Based on the information given, the party store charges $1.50 for each bag of balloons and $6.00 for each package of hats.

Therefore, the equation that fits the explanation will be: 4b + 3h.

= 4b + 3h.

= 4(1.50) + 3(6)

= 6 + 18

= 24.

Therefore, the equation is 4b + 3h.

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Answer:

The answer is C. 106°

Step-by-step explanation:

All triangles have a total of 180°. Therefore, since you already know the measure of two of the three angles, you can add those together, which equals 74. Then subtract that from 180, which gives you 106°

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer:

\(8901126667÷58110 \\ = 153177.1927\)

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

8901126667/58110

Decimal Form:

153177.19268628…

Mixed Number Form:

153177 11197/58110

Step-by-step explanation:

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

g = g0 + 300 - 1400 = 1100 describes gravel present

g0 = 2200 pounds originally present

Check:  

2200 + 300 - 1400 - gravel present at end of day = 1100 lbs

The solution to the system of equations is x = 8, y = 4.

First, let's define our variables as x and y.

"the sum of two numbers is twelve" is written as:

x + y = 12

"two times the first number minus three times the second number is four" is written as:

2x - 3y = 4

Then the system of equations is:

x + y  = 12

2x - 3y = 4

First, we isolate one of the variables in one equation, I will isolate x on the first one to get:

x = 12 - y

Now we replace this on the other equation, so we get:

2*(12 - y) - 3y = 4

Now we can solve this for y.

24 - 2y - 3y = 4

24 - 5y = 4

24 - 4 = 5y

20/5 = y = 4

Now we know the value of y, and:

x = 12 - y = 12 - 4 = 8

Then the solution of the system is:

x = 8, y = 4.

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Answer:

3/4

Step-by-step explanation:

Answer:

30.6

Step-by-step explanation:

Your answer is correct to three decimal places not three significant figures.

Three decimal places: Three numbers after the decimal

Three significant figures: first 3 digits (NB: if the number starts with zero, you only include the numbers after zero, E.g: 0.043262 to three significant figures would be 0.0433 because the zeros don't count. However, if the zero is at the end or in between non zero numbers, it is included. E.g: 1.201 to three significant figures would be 1.20).

Answer:

i believe the answer is 286°

Step-by-step explanation:

a minor arc=to the central angle's measure.

a circle has 360°

so 360-74=286

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

11. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because CE bisects AB.

12. Yes, the information provided can be used to conclude that C is on the perpendicular bisector of AB because C is equidistant from AB.

In Mathematics and Geometry, a perpendicular bisector can be used for bisecting or dividing a line segment exactly into two (2) equal halves, in order to form a right angle with a magnitude of 90° at the point of intersection.

Question 11.

By critically observing the geometric shape, we can logically deduce that the information provided can be used to conclude that C is on the perpendicular bisector of AB because CE bisects AB:

AC ≅ BC

CD ≅ CD

AE ⊥ EC

Question 12.

By critically observing the geometric shape, we can logically deduce that the information provided can be used to conclude that C is on the perpendicular bisector because C is equidistant from line segment AB.

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