Please help ASAP 30 points! Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.

"A number further to the left on a number line will always be smaller than a number further to the right."

The virus will thus increase from 160 to 600 in around 10 days.

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

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Answer:

Step-by-step explanation: Completing the square is a method to solve a quadratic equation like the quadratic formula, and it's usually used when an expression can't be factored.

The reason we complete the square is so that we can create a perfect square trinomial on one side of the equation. In other words, a trinomial that can be factored as two identical binomials.

To complete the square, I have created some steps:

    2. Make sure to move your constant or your number to the right side of the equation so you can complete the square

   3. Take half the coefficient of the middle term, square it, and add it to both sides to create your perfect square trinomial.

 4. Factor the left side as a binomial squared using half the coefficient of the middle term

5. Square root both sides, and finish from there

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The algebraic values of x include:

Using the same reasoning as in the previous problem:

24² + 45² = x²

576 + 2025 = x²

2601 = x²

x = ±51

Since x represents a length, discard the negative solution. Therefore, the value of x is 51.

Using the Pythagorean Theorem:

30² + 40² = x²

900 + 1600 = x²

2500 = x²

x = ±50

Since x represents a length, discard the negative solution. Therefore, the value of x is 50.

Using the Pythagorean Theorem:

18² + 80² = x²

324 + 6400 = x²

6724 = x²

x = ±82

Since x represents a length, discard the negative solution. Therefore, the value of x is 82.

Using the Pythagorean Theorem:

18² + 4² = x²

324 + 16 = x²

340 = x²

x = √340 = 2√85

Therefore, the value of x is 2√85 in simplest radical form.

Using the Pythagorean Theorem:

8² + 5² = x²

64 + 25 = x²

89 = x²

x = √89

Therefore, the value of x is √89 in simplest radical form.

Using the Pythagorean Theorem:

20² + 18² = x²

400 + 324 = x²

724 = x²

x = √724 = 2√181

Therefore, the value of x is 2√181 in simplest radical form.

Using the Pythagorean Theorem:

25² + 3² = x²

625 + 9 = x²

634 = x²

x = √634

Therefore, the value of x is √634 in simplest radical form.

Using the Pythagorean Theorem:

3² + 6² = x²

9 + 36 = x²

45 = x²

x = √45 = 3√5

Therefore, the value of x is 3√5 in simplest radical form.

Using the Pythagorean Theorem:

22² + 4² = x²

484 + 16 = x²

500 = x²

x = √500 = 10√5

Therefore, the value of x is 10√5 in simplest radical form.

To determine if a triangle is a right triangle, we can use the Pythagorean Theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore:

a² + b² = c²

Substituting a = 8, b = 15, and c = 17:

8² + 15² = 17²

64 + 225 = 289

289 = 289

Since the equation is true, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle.

Using the same method:

27² + 36² = 45²

729 + 1296 = 2025

2025 ≠ 2025

Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.

Using the same method:

9² + 11² = 4²

81 + 121 = 16

202 ≠ 16

Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.

To determine the classification of this triangle, compare the lengths of its sides. If all sides are less than the sum of the other two, then the triangle is acute; if one side is greater than or equal to the sum of the other two, then the triangle is obtuse; and if one side is equal to the sum of the other two, then the triangle is degenerate (a straight line).

Substituting a = 3, b = 4, and c = 6:

a + b = 3 + 4 = 7 < c

b + c = 4 + 6 = 10 > a

a + c = 3 + 6 = 9 > b

Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.

Substituting a = 9, b = 11, and c = 16:

a + b = 9 + 11 = 20 < c

b + c = 11 + 16 = 27 > a

a + c = 9 + 16 = 25 > b

Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.

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Image transcribed:

Algebra Find the value of x.

1. 12, 9, x

To start, use the Pythagorean Theorem. Then substitute 9 for a, 12 for b, and x for c.

2. 45 24 x

3. 30, 40, x

4. 80, 18, x

Algebra Find the value of x. Express your answer in simplest radical form.

8. 18, 4, x

9. 8, 5, x

10. 20, 18, x

11. 25, 3, x

12. 3, 6, x

13. 22, 4, x

Is each triangle a right triangle? Explain.

16. 15, 17, 8

17. 27, 45, 36

18. 9, 11, 4

The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.

19. 3,4,6

To start, compare to a+b. Substitute the greatest length for c.

20. 9, 11, 16

Answer:

74.09453421...

Step-by-step explanation:

Pythagorean Theorem

Answer:

g = 11

Step-by-step explanation:

26 = 7g - 63 + 12

26 = 7g - 51

77 = 7g

77/7 = 11

On solving the provided question,  3√ 63 and 400% , so the answer is   \(3\sqrt{63} = 23.81\) is greater

This week, comparison questions—which require analysing similarities or differences across sets—are the sort of topic being discussed. Unknown difference: Estimating how much one set exceeds another is one form of comparison challenge.

Mathematicians refer to the process or method of comparing numbers as the use of their values to determine whether one number is less than, larger than, or equal to another. "," which means "less than," and "," which indicates "greater than," are the symbols used to compare numbers. "=" stands for "same."

here,

\(3\sqrt{63} = 23.81\)

and 400% =4

so \(3\sqrt{63} = 23.81\) is greater

\(3\sqrt{63} = 23.81\) > 400 %

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You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

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Note ; We multiplied each of the x-values with their probabilities and obtain the sum of all. This gives the expected value.

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

5

Step-by-step explanation:

Divide both sides by 2.

Answer:

x=5

Step-by-step explanation:

2x=10

Divide 2 from the other side to isolate the variable.

x=5

Answer:

This is your answer ☺️☺️☺️

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

A. 12

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:

LJ = 2(LW)

11x + 2 = 2(5x + 2)

11x + 2 = 10x + 4

11x + 2 - 2 = 10x + 4 - 2

11x = 10x + 2

11x - 10x = 10x + 2 - 10x

x = 2

✅LW = 5x + 2

Plug in the value of x

LW = 5(2) + 2

LW = 10 + 2 = 12

An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.

To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.

The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.

A = P(1+r/n)^(nt)

A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Given the table between (x) and (y)

The constant of variation (k) is given by:

As shown, from the table

When x= -2, y = -4

when x = 1, y = 2

when x = 6, y = 12

so, the answer will be k = 2

The volume is 54,437.52.

Answer:

54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)

Step-by-step explanation:

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

We are told that the number of fish that Sandra has is n. We are also told that if we take the total number of fish that Tony has, and multiply it by 13, we get the total number of fish that Sandra has. As we know that Tony has 7 fish, then the expression of multiplying it by 13 would be

and as we know this quantity is the number of fish that Sandra has (n), we would have

this means that option A is the correct answer

Answer:

180°

Step-by-step explanation:

Answer:

20 glasses a day

Step-by-step explanation:

2.5litres equals 2500millilitres

2500÷125=20

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)