Tanisha is signing up for a gym membership with a one-time fee to join and then a
monthly fee to remain a member. The monthly fee is $50 and the one-time joining
fee is $100. Make a table of values and then write an equation for C, in terms of t,
representing the total cost of the gym membership over t months.

Answer:

Step-by-step explanation:

Lezduit

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Answer:

90 degrees

Step-by-step explanation:

Hope thishelps.   :)      :D

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

The answer to the question is A

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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Answer:

The first one because it is equal to 94.5 round it off get 95

Answer: 3/2x63

Step-by-step explanation:

Without doing the math, you can look at these to determine if they would be less than or more than 63.

In order for the product to be more than 63, we need a number greater than 1.

7/8 is less than 1. (8/8 would be equal to 1)

2/3 is less than 1. (3/3 would be equal to 1)

4/5 is less than 1 (5/5 would be equal to 1)

3/2 is greater than 1. (2/2 would equal one.)

3/2 is equivalent to 1 and 1/2. (2 goes into 3 1 time with one left over. Place the “leftover” back on top of the denominator)

Alternatively, you could do the math for each possibility by multiplying across the top and dividing by what’s on bottom.

Ex 3/2x 63 = (3x63)/2 =94.5

Solution

The graph shown is a an exponential function:

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

The value of x is 4.8. The length of BC is 14.6.

Step-by-step explanation:

I combined the two expressions 3x+1 and 2x+5 to 5x+6=30

1. I subtracted 6 from 6 and 30 in the equations.

2. I was left with 5x=24

3. I then divide 5 from 5x and 24

4. I got x=4.8

To get the length of BC

2x+5

1. I multiplied 2×4.8

2. I got 9.6

3. I then add 5 to 9.6

4. I finally get the answer 14.6 which is the length of BC

Answer:

\(\overline{BC}=14.6\)

Step-by-step explanation:

we know that

\(\overline{AC}=\overline{AB}+\overline{BC}\)

so

\(30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8\)

and now we solve for BC

\(\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6\)

so that's our answer

Answer:

decimal - 0.875

percent - 87.50%

Step-by-step explanation:

Answer:

1: True

2: False? (unsure)

3: True

4: False

5: True

6: True

7: True

8: True

9: True

10. True

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

The Answer is x=2

Step-by-step explanation:

Hope this helps!!!!

Answer:

x=2  

Step-by-step explanation:

4x+3=11

4x=11-3      ( subtract 3 on both sides)

4x=8

x=2            ( divide 4 on both sides)

Answer:

Forma exacta:

1

12

Forma decimal:

0.083

Step-by-step explanation:

Answer:

\( \frac{1}{12} \)

\(0.8333... \)

as decimal form

Answer:

$12.25

Step-by-step explanation:

1.75 x 7 = 12.25

In ∆ABC,

Angle A = 60°

Angle B = 45°

The measurement of Angle C.

We know that the sum of all the interior angles of a triangle is 180°.

Angle A + Angle B + Angle C = 180°

By putting the respected values, we get

60° + 45° + Angle C = 180°

or, 105° + Angle C = 180°

By transposition method, we get

Angle C = 180° - 105°

Angle C = 75°

The measurement of Angle C is 75°

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Answer:

a.1829

b.2769

Step-by-step explanation:

a.31% of 5900 = 31/100×5900 = 31 ×59 = 1829

b.39% of 7100 = 39/100×7100 = 39×71 =2769

Answer:

Y=a*b^x

If xponent is a variable

Step-by-step explanation:

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

I think it's A.

Step-by-step explanation:

I hope it is helpful to you

Solution : 6.79 x 10^4

Answer:

Step-by-step explanation:

6:___=9:12

Find the missing number of ratio

6 : x = 9 : 12

x = 6 * 12 : 9

x = 8

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

check

6 : 8 = 9 : 12

0.75 = 0.75

the answer is good

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

Answer:

A is true

Step-by-step explanation:

If you convert all answers to have a like denominator to their counterparts, only a comes out to be true.