When purchasing a new Cell Phone Plan you are given two pay options (Both included
unlimited text):
With Plan A, you can pay 23 cents per minute. This can be represented by the equation
C= 0.23m
With Plan B, you can pay 19 cents per minute plus a flat fee of $9.00. This can be
represented by the equation c = 0.19m + 9.00
Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A

Answer:

39

Step-by-step explanation:

Find the value of f(x) at both points

f(3) = 3(3)³ + 1 = 82

f(1) = 3(1)³ + 1 =  4

---------------------------

Average Rate of Change is just like slope

Divide the change in f(x) by the change in x

r = (82 - 4) / (3 - 1)

r = 78/2

r = 39

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Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

Answer:

[tex]x=63.0^o[/tex]

Step-by-step explanation:

Given

[tex]RS = 35[/tex]

[tex]RT = 77[/tex]

The attached triangle

Required

Solve for x

The relationship between x, RS and RT is:

[tex]\cos(x) = \frac{RS}{RT}[/tex]

This gives:

[tex]\cos(x) = \frac{35}{77}[/tex]

[tex]\cos(x) = 0.4545[/tex]

Take arc cos of both sides:

[tex]x = \cos^{-1}(0.4545)[/tex]

[tex]x=63.0^o[/tex] --- approximated

iii; iv; and v

Step-by-step explanation:

I think

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Answer:

  7 : 9

Step-by-step explanation:

The ratio of interest is ...

  large coffees : small coffees = 42 : 54 = 7 : 9

[tex]{\boxed{\mathcal{\purple{D.\:81}}}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81[/tex]

Note:-

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

the answer is A

x=3/2y+3

Step-by-step explanation:

2x=6+3y

x=3+3/2y

x=3/2y+3 is the solution of the equation  2x-3y=6.

The given equation is 2x-3y=6

We need to solve for variable x in the equation.

Isolate the term with variable x.

Add 3y on both sides of the equation.

2x=6+3y

Now divide both sides by 2

x=3+3/2y

x is the solution of the equation.

x=3/2y+3

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Answer:

probably linear graph 'cause it's in a straight line

Answer:

Step-by-step explanation:

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

Learn more about distance here:

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Answer:

Step-by-step explanation:

p(-1)=5*-1 -4*-1 +3

=-5-(-4) +3

=-5+4 +3

=-5+7

=2

Answer:

2

Step-by-step explanation:

p(-1)= 5(-1)-4(-1)+3

p(-1)= -5+4+3

p(-1)= 2

Answer:

False

Hope this helps!

Answer:

C. (f+g)(x) = 5x^3 - x^2 + 5x + 2

Step-by-step explanation:

Combine like terms:

5x^3 + 0 = 5x^3

-4x^2 + 3x^2 = -x^2

5x + 0 = 5x

4 - 2 = 2

5x^3 - x^2 + 5x + 2

Answer:

Circumference

Step-by-step explanation:

The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.

Answer:

D

Step-by-step explanation:

Since the order does not matter, then it is a combination question,

So you just use the combination technique,

10C3 = 10!/(10!(10-3)!) = 120 ways

Answer: 120

Step-by-step explanation:

i just took the quiz

Answer:

a) 30.60

b) 1010/33 = 30.60

Step-by-step explanation:

Answer:

A = 26.6°

Step-by-step explanation:

To obtain the measure of angle A :

We use the trigonometric relation :

Tan A = opposite / Adjacent

Tan A = 6 / 12

Tan A = 1/2

A = tan^-1(1/2)

A = 26.565°

A = 26.6°

Answer:

A

Step-by-step explanation:

The answer is A, the graph raises, crosses at (0, 5) and then remains constant.

Answer:

MBE, REU, XBy, XEW, BER is an acute angle

WRU, RUm, XBM is an obtuse angle

RU, XE, Mm, ME, MU, WE, XB, MB, My is a straight angle

BM, BE, BX, By is an angle of vertex B.

I don’t know (for e)

BER: REB

I don’t know (for g)

EBy and XBM are two supplementary angles.

Step-by-step explanation:

Answer:

Sine (30°) = cosine(90-30) = cos(60°) = 1/2

Step-by-step explanation:

The value of the [tex]cos 60^0[/tex] is [tex]\dfrac{1}{2}[/tex].

[tex]cos^2\theta= 1-sin^2\theta\\cos 2\theta = cos^2\theta - sin^2\theta[/tex]

Given the value of [tex]sin30^0[/tex] is [tex]\dfrac{1}{2}[/tex].

Use the relation between the sine and cosine as-

[tex]\cos^230^0=1-\sin^230^0\\=1-\dfrac{1}{4}\\=\dfrac{3}{4}\\[/tex]

Use another relation [tex]\cos 2\theta = \cos^2\theta -\sin^2\theta[/tex] as-

[tex]\cos(2\times 30^0)=\cos^2{30^0}-\sin^2{30^0}\\=\dfrac{3}{4}-\dfrac{1}{4}\\=\dfrac{1}{2}[/tex]

Hence, [tex]\cos 60^0[/tex]  is value is [tex]\dfrac{1}{2}[/tex].

Learn more about trigonometric functions here-

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Answer:

A. the mode.

Step-by-step explanation:

Mean

Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.

Standard deviation:

Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.

Range:

Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.

Mode

Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.

Answer:

c there you go hi your welcome

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle [tex]y[/tex].

The following equation solves for [tex]y[/tex]:

[tex]y+119=180,\\y=61^{\circ}[/tex]

Solving for [tex]x[/tex]:

[tex]x+59+61=180,\\x=\boxed{60^{\circ}}[/tex]

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Answer:

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

__

2. The monthly payment will be the total amount due, divided by the number of months.

  payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

Explanation: Cut each coordinate in half.

In other words, multiply each coordinate by 1/2 = 0.5

6*0.5 = 3

-2*0.5 = -1

The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.

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Answer:

  7 years

Step-by-step explanation:

The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...

  1.025^n = 2

Taking logarithms, we can solve for n:

  n×log(1.025) = log(2)

  n = log(2)/log(1.025) ≈ 28.071

It will take 28 quarters, or 7 years, for the value to double.

Answer:

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Step-by-step explanation:

Given

[tex]-x+5x^2+1[/tex]

Required

Rewrite and identify a, b and c

The required form is:

[tex]ax^2 + bx + c[/tex]

Equate both expressions

[tex]ax^2 + bx + c = -x+5x^2+1[/tex]

Rewrite as:

[tex]ax^2 + bx + c = 5x^2-x+1[/tex]

Compare the expressions on either sides

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Answer:

D.11,230

Step-by-step explanation:

11.23 = 1 KILOLITER = 1000 LITERS

11.23*1000

11230

Answer:

53 million.

Step-by-step explanation:

$26.2 / total = 0.49 ($ in millions)

Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $