You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29 Club B offers membership for a fee of $35 plus a monthly fee of $22 After how many months will the total cost of each health club be the​ same?

Answer:

42.1

Step-by-step explanation:

If Armer Brown used and equal number of each bag then there will be 21 bags.

What is algebraic expression?

When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let's say that Armer Brown used x bags holding 20 oranges, y bags holding 10 oranges, and z bags holding 5 oranges. We know that he harvested 245 oranges, so we can write an equation:

20x + 10y + 5z = 245

We also know that he used an equal number of each bag, so we can write another equation:

x = y = z

We can use the second equation to substitute y and z with x:

20x + 10x + 5x = 245

Simplifying this equation, we get:

35x = 245

Dividing both sides by 35, we get:

x = 7

So he used 7 bags holding 20 oranges, 7 bags holding 10 oranges, and 7 bags holding 5 oranges.

In total, he used: 7 + 7 + 7 = 21 bags.

Therefore, There will be 21 bags.

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\(\huge\boxed{\frac{3}{8}}\)

To get the slope of a line from its standard form (\(Ax+By=C\)), we can use \(m=-\frac{A}{B}\).

\(\begin{aligned}m&=-\frac{A}{B}\\&=-\frac{3}{-8}&&\smash{\Big|}&&\text{Substitute in the known values.}\\&=\boxed{\frac{3}{8}}&&\smash{\Big|}&&\text{The negatives cancel out.}\end{aligned}\)

Alternatively, we could have changed the equation to slope-intercept form and found the slope from there.

Answer:

(1, 2), (1,4), (1, 6)

Step-by-step explanation:

They're adding the Y-axis

Answer:

r = 2a + k

Step-by-step explanation:

Hope this helps :D

Answer:

b

Step-by-step explanation:

To find the percent of Cara's gross pay, divide what was deducted for Medicare tax by what her bi-weekly gross pay is.

So,

13.97 ÷ 735.18 = 0.019

Which means 1.9%

The probability that Ephraim gets the same number of heads that Keiko gets is (A)1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given that Keiko tosses one penny and Ephraim tosses two pennies.

We need to find  the probability Ephraim gets the same number of heads that Keiko gets;

Probability = 1/4 chance for Ephraim

Probability = 1/2 chance for Keiko

Hence, the probability that Ephraim gets the same number of heads that Keiko gets is (A)1/4.

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Answer:

\(n = 500e^{-4.1589x}\)

Step-by-step explanation:

Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;

N₀ is the initial population of the bacteria

N(t) is the population of the bacteria during time t

If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0

\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)

If the population is expected to double every 4 hours, this means when t = 4, N₀  = 2(500) = 1000

\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)

The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours

\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)

Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

\(x = 2 \frac{1}{4} \)

Step-by-step explanation:

\( {x}^{2} = \frac{81}{16} \)

\(x > 0\)

\(x = \sqrt{ \frac{81}{16} } \)

\(x = \frac{ \sqrt{81} }{ \sqrt{16} } = \frac{9}{4} = 2 \frac{1}{4} \)

Answer:

x^2 = 81/16

x = +√(81/16) = +9/4

The transformations that are occurring between each of the function are given as follows:

f(x) = 14(x - 3) + 1 and g(x) = 7(x + 2) + 1: vertical compression by a factor of 1/2 and shift left 5 units.

f(x) = 6(x + 2) - 3 and g(x) = 8(x - 3) + 6: vertical stretch by a factor of 4/3, shift right 5 units and shift up 9 units.

f(x) = 3(x - 1) + 2/3 and g(x) = 3(3 - x) - 2/3: reflection over the y-axis, shift left 2 units and shift up 4/3 units.

f(x) = 1/3(x + 2) - 4 and g(x) = 1/3(-x - 2) + 6: reflection over the y-axis and shift up 10 units.

f(x) = 4/3(x - 2/3) + 1/3 and g(x) = 2/3(2/3 - x) = reflection over the y-axis, shift down of 1/3 units and vertical stretch by a factor of 2.

The curve of the graph "moves to the left/right/up/down," "it expands or compresses," or "it reflects" when a function is changed.

The transformation rules are defined as follows:

x -> x + a: shift left a unit.

x -> x - a: shift right a unit.

y -> y + a: shift up a unit.

y -> y - a: shift down a unit.

y -> ky, k > 1: vertical stretching by k times.

Vertical compression by a factor of k is achieved by y -> ky, k 1, horizontal compression by a factor of k is achieved by x -> kx, k > 1, and vertical stretch by a factor of k is achieved by x -> kx, k 1.

x -> -x: reflection over the y-axis.

y -> -y: reflection over the x-axis.

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Answer:

-26

Step-by-step explanation:

-13 + 25 - 36 + -2

12 - 36 - 2

-24 - 2

-26

Answer:

-13 + 25 - 36 + -2

12 - 36 + -2

12 - 38

-26

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

There is a 1/2 probability that both spinners will produce an odd number.

The probability is equal to the variety of possible outcomes.

The total number of outcomes that could occur.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

So, assume that:

Both the spinners have 1 positive number and 1 odd number.

Probability formula:

P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 2/4

P(E) = 1/2

Therefore, there is a 1/2 probability that both spinners will produce an odd number.

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The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.

The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.

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The probability that you have more than 210 bugs total on the 30 pages is 1 or 100%.

An even distribution of 5 to 7+y defects can be found on a single page of code, where y is an unidentified parameter. By using the information that the average number of defects per page is (5 + (7+y))/2 = 6 + y/2, we can determine y. Given that the overall number of bugs should divide by the number of pages (30), the mean number of bugs per page should be equal to: 30 / total amount of bugs = 6 + y/2

By calculating y, we obtain:

y = (5 - total amount of bugs - 60)

Because of this, the distribution of all 30 pages' worth of bugs is also uniformly distributed, with a lowest value of 530 = 150 and a highest value of 730 = 210.

We must determine the percentage of the overall distribution that is above 210 in order to calculate the likelihood that there are more bugs than 210 in total. The percentage of the range that is above 210, which is just because the distribution is uniform, is as follows: (210 - 150) / (730 - 530) = 60 / 60 = 1

Therefore, the probability that there are more than 210 defects overall is 1, or 100%.

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Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

The mixed fraction number 2 ⁷/₈ is greater than the mixed fraction number 2 ¹/₂.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction numbers are given below.

2 ⁷/₈ and 2 ¹/₂

Convert the mixed fraction number into a decimal number. Then we have

2 ⁷/₈ = 2 + 7/8 = 2 + 0.875 = 2.875

2 ¹/₂ = 2 + 1/2 = 2 + 0.50 = 2.50

The mixed fraction number 2 ⁷/₈ is greater than the mixed fraction number 2 ¹/₂.

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The graph is in the image uploaded.

Given function:

y = -2x - 3

Table:

x          y

-2        0

0        -2

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Answer:

The height of flag pole=8.3m

Step-by-step explanation:

We are given that

Height of boy=1.4 m

\(\theta=36^{\circ}\)

Distance of boy from the flag pole=9.5 m

We have to find  the height of the flag pole​.

BCDE is a rectangle

BC=ED=1.4 m

CD=BE=9.5 m

In triangle ABE

\(\frac{AB}{BE}=tan36^{\circ}\)

Using the formula

\(tan\theta=\frac{Perpendicular\;side}{base}\)

\(\frac{AB}{9.5}=tan 36^{\circ}\)

\(AB=9.5tan36^{\circ}\)

AB=6.90 m

Height of flag pole=AB+BC=6.90+1.4

Height of flag pole=8.3m

Answer:

f=2

Step-by-step explanation:

First, you move the variables to the left side of the equation and change its sign.

After doing so, you  have 4f -5f =2.

Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.

Your equation looks like this now: -f = -2

Now remove the negative symbols due to their being one on both side.

f=2

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The probability of not getting a diamond card is \(\frac{3}{4}\) .

What is probability ?

 The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

The total number of outcomes of a deck of 52 cards are 52.

Since, there are 13 cards of diamond in a deck of 52 cards, therefore, the total number of favourable outcome that it is not a diamond is ,

=> 52-13= 39.

Therefore, probability P of not getting a diamond card is:

P= \(\frac{39}{52}\) = \(\frac{3}{4}\)

Hence, the probability of not getting a diamond card is \(\frac{3}{4}\) .

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Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

Answer:

The answer is

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

Hope this helps you

Answer: 2

Step-by-step explanation:

= Convert  1 2/3 to an improper fraction (which is 5/3)

= Convert 1 1/5 to an improper fraction (which is 6/5)

= Proceed to cancel out the common factor of 5 so your answer should start to look like this

1/3 * 6

= Now cancel the common factor which is three

Therefore your answer is 2

Hope it helps ^^

Weighing using a tared container is not appropriate due to the potential for errors and inaccuracies. This method can impact the results by introducing uncertainties in the measurements.

Using a tared container involves placing the substance to be weighed on a container that has already been weighed and then subtracting the weight of the container to obtain the weight of the substance alone. While this method is commonly used for qualitative analysis or when the accuracy requirements are not strict, it is not suitable for quantitative preparation where precise measurements are essential.

The use of a tared container introduces several potential sources of error. First, the accuracy of the tare weight might not be exact, leading to uncertainties in subsequent measurements. Additionally, the tare weight may change over time due to factors like evaporation or contamination, further affecting the accuracy of subsequent measurements. Moreover, the process of transferring the substance to the tared container introduces the risk of loss or gain of material, leading to errors in the final measurements.

Overall, relying on weighing with a tared container for quantitative preparation can result in inaccurate quantities of the substance being weighed, compromising the reliability and reproducibility of experimental results. Therefore, more precise weighing techniques, such as using calibrated weighing balances or analytical techniques, should be employed for quantitative preparations.

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

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