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## Bill bought a new cellular phone. His monthly bill will be \$34.99 each month which includes 100 minutes of use. Additional minutes will cost \$0.23 per minute. Write an equation that represents the cost of the bill C in terms of m, which is the number of minutes used ABOVE the 100 that are included in the base price. a. C = 34.99(m – 100) + 0.23 c. C = 0.23m b. C = 0.23m + 34.99 d. C = 0.23(m – 100) + 34.99

d. C = 0.23(m – 100) + 34.99

Step-by-step explanation:

Let C = X + Y, where

C = Cost of the bill in terms of m

X = First term of the equation

Y = Second term of the equation

X = add additional minutes to \$ 0.23 minus the 100 minutes of use allocated.

X = 0.23 (m – 100)

Y = Base price monthly will be \$ 34.99

Y = 34.99

C = X + Y

C = 0.23 (m – 100) + 34.99

Note: The only possible answer is 0.23 (m – 100) + 34.99, but we must assume that “m” is greater than or equal to 100, that is, Bill consumes at least his 100 minutes assigned by the base price.

Hope this helps!

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## Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?

.

Step-by-step explanation:

Given : = 128.

To find :  what is the logarithmic form of the equation in base 10

Solution : We have given that = 128.

By th change base rule ( inverse of exponential function )

= c is equal to   = b

Then = 128 in to logarithm form   = x.

Then in to the base 10 logarithmic form.

By the change of base formula .

Then , .

Therefore, .

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## If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

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## A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Round your answer to two decimal places. A. 9.95 in. B. 19.79 in. C. 31.25 in. D. 29.84 in.

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what’s the altitude of the cylinder? Round your answer to two decimal places. A. 9.95 in. B. 19.79 in. C. 31.25 in. D. 29.84 in.

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## A rectangular pyramid has a base area of 24 in2 and a volume of 48 in3. What is the height of the pyramid?

A rectangular pyramid has a base area of 24 in2 and a volume of 48 in3. What is the height of the pyramid?

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## What monomer is made up of a base, a sugar, and a phosphate group?

Explanation:

A nucleotide is a monomer which is made of pentose sugar which can be either ribose or deoxyribose.

It also consists of nitrogenous bases such as adenine, guanine, cytosine thiamine.

The whole model is supported by the backbone of phosphate which provides support to the structure.

Example : Deoxyribonucleic acid and nucleic acid.

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## The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?

The volume of a rectangular pyramid is given by:

V=lbh/3

Where l is the length

b is the breath

and h is the height.

Now, l’,b’ and h’ be new length,breath and height

Then, l’=3l

b’=b

and h’=h/7

New volume=V’=l’b’h’/3

=

=

Hence, Volume formula which reflects these changes is:

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## Which kind of substance accepts an electron pair? base hydroxide ion acid alkali

Which kind of substance accepts an electron pair? base hydroxide ion acid alkali

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## A semi- circle sits on top of a rectangle. Find it’s area and perimeter. Use 3.14 for pi. The height is 4in and the base is 3in

Check the picture below

if the width or base of the rectangle is 3 units, that means the diameter of the semi-circle is 3, and thus the radius is half that, notice the red radius line

the area of the figure is the area of the rectangle 3×4, plus the area of the semi-circle

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## Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read 3/4 of the number of pages Rafael reads, and Philippe will read 1/2 of the number of pages that Rafael reads. How many pages will Rafael read

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read 3/4 of the number of pages Rafael reads, and Philippe will read 1/2 of the number of pages that Rafael reads. How many pages will Rafael read

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## Kira is a software saleswoman. Her base salary is \$1600 , and she makes an additional \$80 for every copy of History is Fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N . Then use this equation to find her total pay if she sells 28 copies of History is Fun. Equation: Total pay if Kira sells 28 copies: \$

Kira is a software saleswoman. Her base salary is \$1600 , and she makes an additional \$80 for every copy of History is Fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N . Then use this equation to find her total pay if she sells 28 copies of History is Fun. Equation: Total pay if Kira sells 28 copies: \$

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## An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 46°. The engineer knows the building is 250 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 46°. The engineer knows the building is 250 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

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## How could an error during transcription affect the protein that is produced? A.The Protein would have complementary base pairs B.The Protein would be made of the wrong amino acids C.The Protein would become too specialized D.The Protein would become RNA polymerase

How could an error during transcription affect the protein that is produced? A.The Protein would have complementary base pairs B.The Protein would be made of the wrong amino acids C.The Protein would become too specialized D.The Protein would become RNA polymerase

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## Many different types of mutations can occur within the body. Sickle cell anemia is a disease that occurs when a mutation in a base pair of the hemoglobin beta gene causes a single replacement of the amino acid glutamic acid by the amino acid valine. As a result of this mutation, the individual’s blood cells take on a sickle shape under certain conditions and form clusters that can block blood vessels and cause organ damage. Which type of mutation causes sickle cell anemia? A)silent B)missense C)insertion D)frameshift

The right option is; B)missense

Missense mutation is the type of mutation that causes sickle cell anemia

A missense mutation is a type of nonsynonymous substitution in which the change of a single nucleotide (base pair) influences the genetic code and results in a codon that code for a different amino acid. This type of mutation can affect the function of the protein, and it is responsible for human diseases such as, sickle-cell anemia and Epidermolysis bullosa.

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## Which type of mutation is responsible for the change in the iRNA base? Options: A) silent B) missense C) nonsense D) insertion Need answer ASAP

A) silent – means that the letter changes but the outcome is the same
B) missense – means that it changes just one base pair
C) nonsense – changes something to a stop code and messes up the whole chain
D) insertion – adds a letter

so its A because you said “

but during translation the iRNA strand still creates the same protein” so even though the mutation occurred the outcome was still the same.

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## George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top’s shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

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## When a mutation occurs by elimination of one base in a dna sequence, this mutation is called a ________. frameshift mutation insertion mutation substitution mutation translocation mutation viral mutation?

When a mutation occurs by elimination of one base in a dna sequence, this mutation is called a ________. frameshift mutation insertion mutation substitution mutation translocation mutation viral mutation?

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## A diamond shaped muscle that stretches from the base of the neck to the middle of the back, and laterally to each scapula bone, helping to provide movement of the shoulders

A diamond shaped muscle that stretches from the base of the neck to the middle of the back, and laterally to each scapula bone, helping to provide movement of the shoulders

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## Dna replication is facilitated by the fact that the base on one strand of the double helix (t, for example) always has the same partner (a, in this case) on the other strand. this feature of dna is called:

This feature of DNA is termed complimentary base pairing, in that the base that compliments a certain base, say A, is always paired with base T, and likewise every T has its pair partner always as A. The same holds true with C with G, and vice versa.

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## If Denise wanted to create a function that modeled an exponential function with base of 12 and what exponents were needed to reach specific values, how would she set up her function? f(x) = x12 f(x) = log12x f(x) = 12x f(x) = logx12

Denise creates the exponential function

assume she want to find for what value of x, her function reaches the value, 3, or 8.2, or any value a (larger than 0)

so she shants to solve    (“for what value of x, is 12 to the power of x equal to a?”)

this expression is equivalent to

(so 12 to the power of x is a, for x=)

we can generalize this result by creating a function f.

In this function we enter x, the specific value we want to reach. f will calculate the exponent needed, in the following way:

(example: we want to calculate at which value is equal to 5?

check:, which is true, by properties of logarithms)

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## A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

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## What is the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Which nitrogen base sequence is the partner of T-C-A-G-C-A

1.      A.

It is a technique typically engaged in electrical power and electronic devices, wherein the devices are run at less than their rated maximum power degeneracy, taking into account the case or body temperature, the ambient temperature and the type of cooling mechanism used.

2.      B.

In order to answer the question, you need to know the area of a circle.
Area = pi * r^2
Area = 3.14 * (100/2) ^ 2
Area = 3.14 * 50^2
Area = 7850 mils^2 = 0.00785 in^2

3.      A.

V / 15 A = 0.213 Ohm
0.213 Ohm / 125 ft * 1000 ft = 1.71 Ohm / 1000 ft
Closest gauge is #12 AWG (solid wire)
#12 is 1.588 Ohm / ft, which is a 2.9775 V drop @ 15A

4.      A.

RHW cale insulation can be used up to 167 degrees F.

5.      D.

This is a type of electrical connector used to fasten two or more low-voltage (or extra-low-voltage) electrical conductors.

6.      C. the ease with which a material allows electricity to move is called CONDUCTIVITY

7.      D.

Stranded conductors are not acceptable in the pressure terminals of a duplex receptacle. Aluminum conductors of suitable gauge for a 15 ampere duplex outlet will not fit in the pressure terminal holes.

8.      D.

A 3/0 AWG THHN insulated Copper is rated at 225 amps and it falls under the 90 degree C table.

9.      D.

A #12 copper conductor with an insulation factor of 90 degrees C is rated at 20 amps. A #12 aluminum conductor with an insulation rating of 90 degrees C is rated at 15 amps. These conductors ratings only applies to three conductors in a rated at 15 amps. These conductors’ ratings only applies to three conductors in a raceway. From 7 to 24 conductors in a raceway, both aluminum and copper conductor’s ratings have to be reduced by .70, so 15 amps x .7 = 10.5 amps and 20 amps x .7 = 14 amps respectively.

10.  A.

NEC 310.15(B)(1) and (2), table 310.15(B)(2)(a), and table 310.15(B)(17).
Convert 158°F to C result is 70°C. 50 amps x .33 correction factor = 16.5 amps

11.  A.

12.  B.

Ideally, nm or armored cable should be installed in a wall stud at least 1 1/4 inches from the front edge of the stud.

13.  C.

Always use flux for electrical connections and never use acid flux on electrical connections

14.  D.

In wire gauge, the lower the number, the larger the diameter. So a 6 gauge is larger than 12 gauge, but smaller than 4 gauge.

15.  A.

16.  D.

17.  C.

Table 310-16 NEC

18.
MCM means 1000’s (M) of (C)ircular (M)ils

19.  D.

Rubber tape is used to round sharp edges

20.  B.

The larger the diameter, the larger the ampacity, or the ability to carry current.

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## Joseph pays \$20 for his base phone in addition to the \$0.10 per text. Micki pays \$10 for her phone plan plus the \$0.15 per text. Write a function for Joesph's phone plan and for Micki's phone plan. Provide the number of text messages in which the plans are the same plan.

Joseph pays \$20 for his base phone in addition to the \$0.10 per text. Micki pays \$10 for her phone plan plus the \$0.15 per text. Write a function for Joesph’s phone plan and for Micki’s phone plan. Provide the number of text messages in which the plans are the same plan.

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## Find the height of a triangle whose base is 2 square root 2 inches and area is 8 square root 6 square inches.

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.