State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Line t is called the transversal for lines p and q .

Answer:

5 1/15

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

76

15

Decimal Form:

5.0

¯

6

Mixed Number Form:

5 1/15

Answer:

23x10

Step-by-step explanation:

Its 23x10^3 because its basically because 10 times 10 is a 100 and 100x10 is 10000 and 11x104 will be like 1000 smth (calculate it if u want)

Answer:

171.84

Step-by-step explanation:

156 + 15 = 171

171 + 0.84 = 171.84

The solution of the equation for h is as follows:

h = 2r

The equation is represented as follows:

2πr³ = πr²h

where

Therefore, let's make h the subject of the formula

2πr³ = πr²h

Divide both sides by πr²

2πr³ / πr² = πr²h / πr²

h = 2r

Therefore, the solution of the equation for h is as follows:

h = 2r

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The electric potential at the origin is 11.9834 ×[tex]10^{9}[/tex] .

V = k (q/r)

V = 8.98755 × [tex]10^{9}[/tex] ×(-4/3)

V= 11.9834 ×[tex]10^{9}[/tex] is the the electric potential at the origin.

The effort required to transfer a unit charge against an electric field from a reference point to a specified spot.

Electric potential difference is the potential created when a charge is moved from one point to another within the field itself, whereas electric potential is the effort done per unit charge to transport the charge from infinity to a point in the electric field.

The amount of work required to move a unit positive charge from infinity to a particular point in an electric field is called the electric potential.

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Answer:

x = 9

Step-by-step explanation:

Complementary angles equal to 90 degrees.

So add both equations to equal 90 and solve for x.

(2x+5) + (8x-5) = 90  

Combine like terms.

10x = 90

Divide each side by 10.

x = 9

an=a1+d(n−1)  is the explicit and a recursive formula for each sequence .

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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Answer:

5

-5

13

-5

-13

13

5

-13

Step-by-step explanation:

Answer:

5, -5, 13, -5, -13, 13, 5, -13

Step-by-step explanation:

Hope this helped and have a good day

Th number of miles driven by truck is 169.

For the given question:

The base fee of the drive = $17.95.

The additional charges are 92 cents for each mile driven.

The additional charges = $0.92

Let 'x' be the miles driven by the truck.

Thus, the total additional charges for the drive of x miles will be: 0.92x.

So, the total charge for truck drive is;

The total charge are given as $173.43.

Total charge = base charge + additional charge

$173.43 = $17.95 + 0.92x

0.92x =  $173.43 - $17.95

0.92x =  155.53

x = 169.05

x = 169 miles.

Thus, the total number of miles driven by the truck are 169 miles.

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Range = { -2 , 4 , -2 , 1 , 2} is for the relation .

what is domain and range?

How are domain and range determined?

relation. (3,-2),(4,4),(0,-2),(4,1),(3,2)

domain = { 3 , 4 , 0 , 4 , 3 }

Range = { -2 , 4 , -2 , 1 , 2}

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The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

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To rotate a point 90° counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange,    the x - and y -coordinates are    (x,y) -> (-y,x)

What does the term "coordinates" mean?

Rotation of 90° counter-clockwise about origin-

Think about the location (X, Y). You may always swap the x- and y-coordinates and then multiply the new x-coordinate by -1 in order to rotate this point by 90 degrees around the origin in the opposite manner.

This would be expressed mathematically as follows

(x ,y)    →    ( -y ,x)

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635 is the 3 digit number Sean is thinking of.

A digit is one of the elements of a set that makes up a numeration system. Thus, in a certain context, a digit is a number. The digits in the decimal (base-10) Arabic numbering system are the constituents in the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Let  a, b , c the digits of hundreds place, tens place and ones places.

Let the digit in the tens place be x, thus b = x

The digit in ones place is 25 less than the value of the digit in the tens place

c = x - 25

And finally, he digit in the hundreds place is 1 more than the digit in the ones place

a = (x - 25) +1

If a, b , c are digits of there respective places the the value of their digits are

a(100), b(10) c(1)

Now, b can be any no. which is more than 25 so as to make positive ones place, lets say 30

b = 30 = x

Thus x = 3, so

a = ( x - 25) +1

  = ( 30 - 25) +1

  = 6

c = 30 - 25

  = 5

Thus, 635 is the 3 digit number Sean is thinking

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The equation -4x + 2y = 10 represents a linear function

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function

x = -5 represents a linear function

y = 1.5x represents a linear function

The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.

When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.

-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

[tex]y = 2x^2 - 3x + 5\\[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.

x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.

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The equation -4x + 2y = 10 represents a linear function

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function

x = -5 represents a linear function

y = 1.5x represents a linear function

The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.

When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.

-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.

x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.

Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.

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Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

option b is correct

9/4 = 2.25

13.5/6 = 2.25

do the last one yourself

A model plane would be 57.7 feet high.

In this question,

A model airplane takes off at an angle of elevation of 30°C

We need to find how much the plane will be high after traveling 100 feet horizontally.

Consider the following diagram.

Let angle ACB is the angle of elevation.

∠ACB = 30°

the horizontal distance CB = 100 feet

We need to find the distance AB.

Consider tangent of angle ACB.

⇒ tan(30) = AB / BC

⇒ 0.577 = AB / 100

⇒ AB = 0.577 × 100

⇒ AB = 57.7 feet

Therefore, a model plane would be 57.7 feet high.

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The statement is true and option (C) is correct.  i.e m∠CEB = 45° .

To prove

Reason

As shown in the diagram

∠CEA  = ∠CEB + ∠AEB

Bisector

A bisector is a tool that divides any object into two equal parts.

As given

∠CEA is a right angle, and EB bisects it, dividing it into two equal parts.

Thus  

∠CEB  = ∠AEB = 45 °

Therefore

m ∠CEB  = 45 °

Hence proved.

Therefore the correct option is option (C) is correct.

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Land withdrew money in the form of an geometric series and he had $96 in his account in January.

A geometric series in mathematics is made up of an unlimited number of terms with a fixed ratio between them.

Each term is connected to the previous term by a simple ratio.

if the first term of an Geometric series be a, and the common ratio r then the second term is ar, third term is ar² and so on.

the nth term of a  Geometric series is calculated by

[tex]a_n=ar^{n-1}[/tex]

Now here we know that the final term of the Geometric series is $1.50.

So each month Lang withdrew half of his money.

So the common ratio of each terms is [tex]\frac{1}{2}[/tex].

Number of months=6(n=7)

Now we have to find the initial term of the Geometric series.

We know that [tex]a_n=ar^{n-1}\\[/tex]

Given n=7 and r=1/2 and aₙ=1.5

Substituting the values we get:

[tex]1.5=a\times(\frac{1}{2})^{7-1} \\or, 1.5=a \times (\frac{1}{2} )^6\\or, 1.5=a\times \frac{1}{64} \\or,a=96[/tex]

Hence Lang had $96 in his bank account before his first withdrawal.

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Answer: Discrete

Step-by-step explanation: Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting.

                                         Hope this helps!

Answer:

Rounding up to 3 decimals = 170.650

Rounding up to Hundreds = 200

Answer: The answer is c 1.32 x 10^25

Step-by-step explanation:

The graph of the given piecewise function is given at the end of the answer.

A piecewise function is a function that has different definitions, depending on the input.

For this problem, the function is defined as follows:

Hence:

The function is given at the graph with the end of answer, with holes where the function is not defined, and multiple behaviors as it is piecewise.

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Answer:

-6<x<4

Step-by-step explanation:

x^2+2x-24=0

(x-4)(x+6)=0

x-4=0

x+6=0

x=-6,4

x<-6 false

-6<x<4 true

x>4 false

so -6<x<4

The three measures of the angle are,

Angle 2 = 37°

Angle 3 = 153°

Angle 4 = 37°

When two straight lines or rays intersect at a single endpoint, an angle is created. The intersection of two points is where an angle's vertex is located. The Latin word "angulus," which means "corner," is where the term "angle" originates. The building's corner provided protection, whether it was a projecting portion or a partially covered area. 2a: Dihedral angle and the figure created by two lines that originate from the same point.

I guess refers to two intersecting angle which form 4 angles.

Angles 1 and 2 are supplementary angles whose sum is 180°.

Angle 1 + Angle 2 = 180°

143° + angle 2 = 180°

Angle 2 = 180° - 143°

Angle 2 = 37°

Angles 1 and 3 are vertical angles, therefore treat them as such.

Therefore, it is easy to find their measures because vertical angles are congruent in measures.

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Answer:

brwhwthfv fvqfbqrhwt vwrvqdvqrgdqg

Answer:

[tex] \frac{7}{15} [/tex]

Step-by-step explanation:

The question is asking us to find the difference between 4/5 and 1/3.

[tex] \frac{4}{5} - \frac{1}{3} [/tex]

First we have to determine the LCM which is 15.

LCM is obtained by multiplying 5 and 3 from the denominators.

Then proceed as follows

[tex] \frac{4}{5} - \frac{1}{3} = \frac{12 - 5}{15} \\ = \frac{7}{15} [/tex]

The solution is therefore

[tex] \frac{7}{15} [/tex]

Answer: Most likely 0.44444 (The 4 is repeating.)

Step-by-step explanation:

Because first since its in parenthesis, you would do 2/3 which is 0.6666 repeating. Then you do that to the power of 2 which will give you 0.4 repeating!

Hope this works! If not, I apologize.