X What should be the first step to solve x² - 6x = -5 by completing the square method? O Add 5 to both sides Add 9 to both sides O Add 36 to both sides Divide the equation by -6​

No boat may be rented for more than t 7.5.

The larger than symbol (>), just under symbol (), more than or equal to symbol (), less than or similar to symbol (), but not equal to symbol () are the four inequality symbols in mathematics.

Relationships among two expressions that aren't equivalent to one another are known as inequalities.The symbols, >,, and, are used to denote inequalities. translates form right to left as "7 is larger than" or "is less than 7."

The phrase "at most" means "less than or equivalent to." Hence, the lesser than or equivalent to sign will be used to represent the disparity. The hourly rate for the boat is $6, which is equivalent to:

6t

A discount coupon means subtracting $4 from the 7t:

\(6t-3\)

When these are placed with the inequality:

6t - 3 ≤ 45

Solving this inequality means isolating the variable. To do this, adding 4 to both sides will be the first step.

6t ≤ 45

Finally, dividing both sides by 6 will get the final answer of 7.5, meaning the possible number of hours they could rent the boat is no more than 7.5.

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we have the expression

therefore

The answer is

The average daily cat cost for my family in six days is 485.5

You are aware that the average weekly expenditure is 485.5.

We must add the quantities for Monday, Tuesday, and Saturday.

505.3+615.40+489.30=1610

Now we need to estimate the three days that they ask us for on Wednesday, Thursday, and Friday.

And we have options; try the first option (a), and add the amounts as before.

404+589+310=1303

Now add the results of the two sums that were performed.

1610+1303=2913

The outcome of this operation must be divided into six parts because there are six days in total.

2913:6=485.5

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The full question

The average daily cat cost for my family in six days?

The expression (4r+6)/2 does not necessarily represent the number of tomato plants in the garden this year. The expression simplifies to 2r+3, which could represent any quantity that is dependent on r, such as the number of rabbits in the garden, or the number of bird nests in a tree, and so on.

Thus, the expression (4r+6)/2 cannot be solely assumed to represent the number of tomato plants in the garden this year because it does not have any relation to the number of tomato plants in the garden.However, if the question provides information to suggest that r represents the number of tomato plants in the garden, then we can substitute r with that value and obtain the number of tomato plants in the garden represented by the expression.

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Answer:

4 pages per hour

Step-by-step explanation:

Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours.

We find how many pages per hour each of them read.

For Willie

Willie read 108 pages in 3 hours,

3 hours = 108 pages

1 hour = x

Cross Multiply

3x = 108 pages × 1 hours

x = 108 pages/3

x = 36 pages per hour

For Pedro

Pedro read 160 pages in 5 hours

5 hours = 160 pages

1 hour = x

Cross Multiply

5x = 160 pages × 1 hours

x = 160 pages/5

x = 32 pages per hour.

How many more pages per hour did Willie read?

This is calculated as:

36 pages/hour - 32 pages per hour

= 4 pages per hour

The probability of the weight loss falling between 8 pounds and 11 pounds is 1/2

Variation of weight = Between 6 to 12.

It is required to ascertain the percentage of the overall range that corresponds to that interval in order to calculate the chance that the weight reduction will fall between 8 pounds and 11 pounds.

Calculating the total range of weight -

Range = Higher weight - Lower weight

= 12 - 6

= 6

Similarly, calculating the total range of weight for 8 pounds and 11 pounds

Range = Higher weight - Lower weight

= 11 - 8

Calculating the probability -

Probability = Range of interest / Total range

= 3 / 6

= 1/2.

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Complete Question:

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost between 8 pounds and 11 pounds

a. 1/2

b. 1/4

c. 2/3

d. 1/3

Answer:

9

Step-by-step explanation:

if the monkeys are nice sharing is caring

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

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A complete list of the numbers in the pattern: 3, 6, 10, 14, 18, etc.

The number pattern you described is as follows:

3,

(2*5)-4 = 6,

(2*7)-4 = 10,

(2*9)-4 = 14,

(2*11)-4 = 18,

The first number is 3, and then each subsequent number is found by multiplying the previous odd number by 2 and then subtracting 4.

For example, the second number is found by multiplying the first number by 2 and then subtracting 4, which gives us 6. The third number is found by multiplying the second number by 2 and then subtracting 4, which gives us 10.

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1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

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The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

The minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

Given: To find the minimum sample size, confidence level = 99%, standard deviation = 13.8, and one unit population mean. [Normally distributed]

Solving the given question:

We know that the formula for Margin of error is:

Margin of error = z-score * (standard deviation) / root (sample size)

E = z * σ / √(n), where

E = Margin of error

z = z-score

n = Sample size

σ = standard deviation

Therefore, sample size = ( z – score * standard deviation / margin of error)²

n = ( z * σ / E )²

First, calculate the z-score for the 99% confidence level.

From the normal distribution curve, the area under 99% confidence level is given as:

Area under 99% confidence level = (1 + confidence level) / 2 = (1 + 0.99) / 2 = 0.995

From the z-score table, we find the value of z with the corresponding area of 0.995

We find the value of the z-score corresponding to 0.995 is 2.58

Also given sample mean is one unit of the population. So the margin of error is 1

E = 1

And given Standard deviation = 13.8

σ = 13.8

Putting the values in the given formula of sample size n =

n = (2.58 * 13.8 / 1 )²

n = 1267.64

n = 1268

Hence the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

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Disclaimer: Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and G = 13.8. Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed )

Answer:

i DONT KNOW THIS BECAUSE I HAVEN'T GONE OVER THIS IN SCHOOL

Step-by-step explanation:

Answer:

0.53 hours

Step-by-step explanation:

D = (r)(t), Where

‘D’ is the distance covered

‘r’ is the approach rate

‘t’ is the total time spent

Distance covered, ‘D’ = 4 miles

Approach rate, “r” = 3.5mph + 4mph

r = 7.5mph.

t is unknown

Solving for t,

D = (r)(t)

4 = 7.5t

t = 4/7.5

t = 0.53 hours (to the nearest hundredth)

Therefore, it will take Amanda and Alexis 0.53 hours to meet

Answer:

The expression below, 4x=20 when x=5.

Step-by-step explanation:

4(5)=20

C, x is greater than or equal to 2

Step-by-step explanation:

Both equations have X equaling to 2

The approximate length of a side of the rhombus is 10.67 cm.

A rhombus is a quadrilateral with all sides of equal length.

The diagonals of a rhombus bisect each other at right angles.

Let's label the length of one diagonal as d1 and the other diagonal as d2.

In the given rugby-shaped figure, the length of d1 is 14 cm, and the length of d2 is 12 cm.

Since the diagonals of a rhombus bisect each other at right angles, we can divide the figure into four right-angled triangles.

Using the Pythagorean theorem, we can find the length of the sides of these triangles.

In one of the triangles, the hypotenuse is d1/2 (half of the diagonal) and one of the legs is x (the length of a side of the rhombus).

Applying the Pythagorean theorem, we have \((x/2)^2 + (x/2)^2 = (d1/2)^2\).

Simplifying the equation, we get \(x^{2/4} + x^{2/4} = 14^{2/4\).

Combining like terms, we have \(2x^{2/4} = 14^{2/4\).

Further simplifying, we get \(x^2 = (14^{2/4)\) * 4/2.

\(x^2 = 14^2\).

Taking the square root of both sides, we have x = √(\(14^2\)).

Evaluating the square root, we find x ≈ 10.67 cm.

Therefore, the approximate length of a side of the rhombus is 10.67 cm.

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Answer:

it would be -5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

g(x) = - 2x + 5

Then

g(x) = - 5

- 2x + 5 = - 5

- 2x = - 5 - 5

- 2x = - 10

x = 10 / 2

x = 5

The probability that at least 12 of them need correction is 12.67%

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

Sample, n = 13

Proportion, p = 75%

The required probability is represented as

P(At least 12) = P(12) + P(13)

Where

P(x) = C(n, x) * pˣ * (1 - p)ⁿ ⁻ ˣ

So, we have

P(At least 12) = C(13, 12) * (75%)¹² * (1 - 75%) + C(13, 13) * (75%)¹³

Evaluate

P(At least 12) = 12.67%

Hence, the probability is 12.67%

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Question

A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 13 adults are randomly selected, find the probability that at least 12 of them need correction for their eyesight

98% of the quarters can be expected to see a profit of at least $0.5 million.

What is a standard deviation?

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Z score = 0.7-0.5 = 0.2

σ = 0.1

P-value from Z-Table:

P(x<0.5) = 0.97725

             ≈ 98%

Hence, 98% of the quarters can be expected to see a profit of at least $0.5 million.

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In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

Transformations are a catch all term for four different kinds of changing the location and/or shape of a circle, line, or geometric figure. The words used are the Pre-Image, which describes the shape of the object at first, and the Image, it describes the final shape and location of the object following alteration. Translations, mirrors, and dilations are the three different types of transformations. A function can be transformed in two different ways: vertically (which affects the y-values) and horizontally (affects the x-values). The equations of a function illustrated below includes the four conversion variables (a, b, h, and k). altering the log Consider the record of each observation as an illustration. multiplying by the square root each term's square root .

given

Initial Reflection Axis = ( -5 , -2 )

the axis of the x coordinate contracts to 1/2 (y )

= -1/2f ( y )

When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

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For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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The average rate of change is 19   3 ≤19 ≤15

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Answer:

52,552

Step-by-step explanation:

sorry about my old answer i clicked the wrong number

Answer:

52,552

Step-by-step explanation:

I just took the words and put it into numbers with a comma

Answer:

x = -2

Step-by-step explanation:

\(9x+10=-8~(Given)\\\\9x+10-10=-8-10~(Subtract~10~on~both~sides)\\\\9x=-18~(Simplify)\\\\\frac{9x}{9}=\frac{-18}{9}~(Divide~9~on~both~sides)\\\\x=-2~(Simplify)\)

The first term of the arithmetic sequence is -8, and the general formula for the nth term is given by Tn = 24 - 10n.

To find the first term of the arithmetic sequence, we can use the formula Tn = a + (n - 1)d, where Tn represents the nth term, a represents the first term, n represents the term number, and d represents the common difference. We are given that the twelfth term (T12) is 118 and the eighth term (T8) is 146. Using these values, we can set up two equations:

T12 = a + 11d = 118

T8 = a + 7d = 146

Solving these equations simultaneously, we can find the values of a and d. Subtracting the second equation from the first equation, we get:

a + 11d - (a + 7d) = 118 - 146

4d = -28

d = -7

Substituting the value of d back into either equation, we find:

a + 7(-7) = 146

a - 49 = 146

a = 146 + 49

a = 195

Therefore, the first term of the arithmetic sequence is -8.

To find the general formula for the nth term, we can use the values of a and d in the formula Tn = a + (n - 1)d. Substituting the values, we have:

Tn = -8 + (n - 1)(-7)

Tn = -8 - 7n + 7

Tn = -1 - 7n

Thus, the general formula for the nth term is Tn = -1 - 7n.

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