Evaluate 7p + 6(p ÷ q) -2q

if p = 6 and q = 3

Using LCM, Ramya and Deepika will exercise together after 8 days.

Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.

Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.

Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.

Factors of 8 = 2 × 2 × 2

Factors of 4 = 2 × 2

LCM of 8 and 4 = 8

∴ Ramya and Deepika will exercise together after 8 days.

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Correct Question -

Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?​

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

La respuesta de su problemamatemático es X= 6.63

The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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Answer: (2x+1)(x+3)

Step-by-step explanation:

Factor 2x2+7x+3

2x2+7x+3

=(2x+1)(x+3)

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

B coordinates: (7, 4)

Step-by-step explanation:

In order to find midpoint, you have to add both x's and divide by 2. Same for the y's. For this question, we'll have to work backwards since the midpoint is already given.

If I add 7 to 3, and divide it by 2, that will give us 5 (midpoint x-coordinate). So the x value of B is 7.

If I add 4 to 8 and divide that by 2, it will give us 6 (midpoint y-coordinate). So the y value of B is 4.

Hope this helps!

Answer:

g(-2) = -1

Step-by-step explanation:

By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.

So g(-2) = -1.

Answer:

\(y = 3x -2\)

Step-by-step explanation:

Step 1) Find two points from the graph to work with

I would personally use the points (0, -2) and (1, 1) as they are the most comfortable to work with from the given graph.

Step 2) Find the slope

A function's slope is given by the formula:  \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
We can now substitute the coordinates of the points we found in Step 1 in the formula to find the function's slope.

\(m = \frac{1 - (-2)}{1 - 0} = \frac 31 = 3\)

Step 3) Find the line's equation

Finally, we can substitute the slope we found in Step 2, as well as one of the points we found in Step 1, into the formula \(y - y_1 = m(x - x_1)\) to find the line's equation.

\(y - 1 = 3(x - 1)\\\to y - 1 = 3x - 3 \text{ / Add 1}\\\to y = 3x -2\)

Answer:

Here

Step-by-step explanation:

C.4

Each time you go up 4 over 1

so it would be 4/1=4

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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The equation of a parabola is a quadratic equation.

The equation of the parabola is: \(\mathbf{y = 4x^2 + 32x -32}\)

The points are given as:

\(\mathbf{(x,y) = (-5,-224),(-3,-92),(1,4)}\)

Substitute these values in:

\(\mathbf{y = ax^2 + bx +c}\)

So, we have:

\(\mathbf{-224 = a(-5)^2 + b(-5) +c}\)

\(\mathbf{-224 = 25a - 5b +c}\) ------ (1)

\(\mathbf{-92 = a(-3)^2 + b(-3) +c}\)

\(\mathbf{-92 = 9a -3b +c}\) ---- (2)

\(\mathbf{4 = a(1)^2 +b(1) +c}\)

\(\mathbf{4 = a +b +c}\) ---- (3)

Subtract (3) from (2)

\(\mathbf{9a - a - 3b - b + c - c =-92 - 4}\)

\(\mathbf{8a - 4b =-96}\)

Multiply by 3

\(\mathbf{24a - 12b = -288}\)

Subtract (3) from (1)

\(\mathbf{25a -a - 5b -b +c - c = -224 - 4}\)

\(\mathbf{24a - 6b = -228}\)

Subtract \(\mathbf{24a - 6b = -228}\) from \(\mathbf{24a - 12a = -288}\)

\(\mathbf{24a- 24a - 12ba +6b = -288 + 96}\)

\(\mathbf{- 6b = -192}\)

Divide through by -6

\(\mathbf{b = 32}\)

Substitute \(\mathbf{b = 32}\) in \(\mathbf{8a - 4b =-96}\)

\(\mathbf{8a - 4 \times 32 = -96}\)

\(\mathbf{8a - 128 = -96}\)

Collect like terms

\(\mathbf{8a = 128 -96}\)

\(\mathbf{8a = 32}\)

Divide both sides by 8

\(\mathbf{a = 4}\)

Substitute \(\mathbf{a = 4}\) and \(\mathbf{b = 32}\) in \(\mathbf{4 = a +b +c}\)

\(\mathbf{4 + 32 + c = 4}\)

\(\mathbf{36 + c = 4}\)

Subtract 36 from both sides

\(\mathbf{c = -32}\)

Substitute values of a, b and c in: \(\mathbf{y = ax^2 + bx +c}\)

\(\mathbf{y = 4x^2 + 32x -32}\)

Hence, the equation of the parabola is: \(\mathbf{y = 4x^2 + 32x -32}\)

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Answer:

(D). 182

Step-by-step explanation:

did the math

The measure that would most correctly answer this question is standard deviation.

What is standard deviation?

The standard deviation is measure of how spread out data from mean.

Step-by-step explanation:

Average age of respondents in a survey is \(49\) years. Researcher interested in finding out if most respondents are close to \(49\) years or not.

Hence here measures of dispersion fact will be used.

Measures of dispersion are range and standard deviation.

Range is nothing but the difference between maximum and minimum values of the data.

Standard deviation gives proper idea about how far the data values are scattered from the mean point \(49\) years.

Therefore the correct option is standard deviation.

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The correct transformation is Circle M is a dilation of circle N with a scale factor of 5.

In geometry, similarity is the quality of two forms having the same shape but sometimes varying in size. Formally speaking, two forms are said to be similar if they may be transformed into one another, such as by dilation, translation, rotation, or reflection. The scale factor is the ratio of the respective lengths of two identical forms.

In this instance, it is evident that circle N has a radius that is five times greater than circle M's, and their centers are located at the same y-coordinate. This leads us to the conclusion that circle M is a 5x dilation of circle N, meaning that every point on circle M is 5x as near to the center as the equivalent point on circle N.

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Answer:

Age

Step-by-step explanation:

Typically the older you get, the taller you grow

Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

0

MrRoyal

Ace

9K answers

23.3M people helped

MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

Answer:

Step-by-step explanation:1.10+1.10+1.10+1.00+1.00+1.00+1.00

Answer:

Step-by-step explanation: 1.50

\( \huge \boxed{Answer \hookleftarrow}\)

=》1² + 3²

=》1 + 9

=》10

0.8133 is the probability  that a randomly chosen test taker will score between 560 and 640.

Probability is the possibility that something will happen, to put it simply. We can talk about the chance or likelihood of various outcomes when we don't know how an event will turn out. Events that follow a probability distribution are the subject of statistics.

Probability is a branch of mathematics that deals with numerical representations of how likely it is for an event to occur or for a proposition to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.

P(540< x 640)

=  P ( \(\frac{560 - 560}{90}\) < \(\frac{x - mu}{sigma}\) < \(\frac{640-560}{90}\) )

By resolving this, we will obtain a probability ranging from zero to triple zero. Therefore, the likelihood will be zero. Less than zero 89 minutes our chance of being zero is zero. The values are now zero 8133 -0.5 triple zero when utilizing the table. And if we take it out, we get 0.31 33. Therefore, our likelihood of facts here ranges from 5 to 6 40. Its double three at 0.31. Therefore, this is the response to your query.

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Answer:

two hundred ten million, sixty four thousand and fifty

The interpretation that the likelihood that the first question will be true is (a) Likely

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

From the question, we have the following parameters that can be used in our computation:

Probability value:-

The value of the probability and the notation are given as

P(true) = 0.8

As a general rule of probability, we have

Range of probability value = 0 to 1 (inclusive)

Unlikely = less than 0.5

Equally likely and unlikely = 0.5

Likely = greater than 0.5

Using the above as a guide, we have the following:

The value of P(true) = 0.8 is greater than 0.5

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Answer:

d=t10

Step-by-step explanation:

The correct conclusions about the triangle reflections are -

        {y} - axis.

        {x} - axis.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.

Given is the boxplot as shown in the image.

From the box - plot, we can write the results as -

Therefore, We c

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We can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.

Based on the given study of 600 internet users in Europe, where 335 of them were women, we can estimate the true proportion of women in Europe who use the internet using a confidence interval.

To calculate the confidence interval for the true proportion of women, we can use the formula:

CI = \($\hat{p}$\) ± z * √(\($\hat{p}$\)(1-\($\hat{p}$\)) / n)

where:

\($\hat{p}$\) is the sample proportion of women (335/600)

z is the z-score corresponding to the desired level of confidence (98% corresponds to a z-score of approximately 2.33)

n is the sample size (600)

Plugging in the values, we can calculate the confidence interval:

\($\hat{p}$\) = 335/600 = 0.5583

z = 2.33

n = 600

CI = 0.5583 ± 2.33 * √((0.5583 * (1-0.5583)) / 600)

Calculating the expression inside the square root, we get:

√((0.5583 * (1-0.5583)) / 600) ≈ 0.0221

Therefore, the confidence interval estimate for the true proportion of women in Europe who use the internet is:

CI = 0.5583 ± 2.33 * 0.0221

This can be further simplified as:

CI = (0.513, 0.603)

Thus, we can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.

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According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.

To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:

According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.

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