if √a-√b=3 then determine the minimum value of (√a-√b)²​

The value of a is given by the third root of the function.

The function for this problem is defined as follows:

f(x) = x(x - 2)(x - a).

According to the Factor Theorem, the function is defined as a product of it's linear factors, hence the roots of the function are given as follows:

Hence the value of a is the third root of the function, which is the value on the graph at which the function crosses the x-axis along with x = 0 and x = 2.

The problem is incomplete, hence the general procedure to obtain the value of a is presented.

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Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

From the given sample data in the table on the backpack weight, we have;

(a) The means of the samples are;

(b) The range is 0.25

(c) The true statements are;

(a) The sample means of each of each of the three samples are found as follows;

\(Mean = \frac{ \sum \: x}{n} \)

Where;

x = The value of a data point

\( \sum \: x = Sum of the data \)

n = Sample size

The mean of the first sample, S1, data is therefore;

\(Mean \: S1 = \frac{3 + 7 + 8 + 3 + 7 + 9 + 6 + 8}{8} \)

3+7+8+3+7+9+6+8 = 51

Which gives

\(Mean \: S1 = \frac{51}{8} = \mathbf{6.375\\)

Similarly, we have;

\(Mean \: S2 = \frac{8 + 6 + 4 + 7 + 9 + 4 + 6 + 7}{8} \)

8 +6+4+7+9+4+6+7 = 51

Which gives;

\(Mean \: S2 = \mathbf{\frac{51}{8}} = 6.375 \)

Mean of the second sample = 6.375

\(Mean \: S3 = \frac{9 + 4 + 5 + 8 + 7 + 5 + 9 + 6}{8} \)

9+4+5+8+7+5+9+6 = 53

Which gives;

\(Mean \: S3 = \frac{53}{8} = \mathbf{6.625} \)

(b) The range of the means of the sample means is found as follows;

Range = Largest value - Smallest value

Which gives;

(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.

The true statements are therefore;

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Answer:

let x represent the number =x

then 3/4 of x =3x/4

so 3x/4 < 3/4

3x<3/ 4=1

4=3x<3

x=1/3

Answer:  5

Step-by-step explanation:

f(x)=2x+1

f(2)=2(2)+1    Subtitube 2 for x

f(2)=4+1

f(2)=5

There are 72 different sums that can be obtained by rolling the die, spinning the spinner, and picking a card.

To determine the number of different sums possible, we need to consider the outcomes of rolling the die, spinning the spinner, and picking a card.

Let's analyze each component separately:

1. Rolling the die: The die has 6 sides, numbered 1 to 6. Therefore, there are 6 possible outcomes when rolling the die.

2. Spinning the spinner: The spinner has 6 sections labeled 1 to 6. Again, there are 6 possible outcomes when spinning the spinner.

3. Picking a card: The card has two options, either 6 or 7. Thus, there are 2 possible outcomes when picking a card.

To find the total number of different sums, we need to multiply the number of outcomes for each component. Therefore, the total number of different sums is obtained by multiplying 6 (die outcomes) by 6 (spinner outcomes) by 2 (card outcomes), resulting in 6 * 6 * 2 = 72 different possible sums.

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Answer: what

Step-by-step explanation:

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

the gcf of 13 and 65 is 13

13 + 65 can be rewritten using the gcf as

13( 1 + 5)

The greatest common factor of 13 and 65 is 13.

The 13 + 65 could be written using the gcf as 13(1 + 5).

Given that,

Based on the above information, the calculation is as follows:

The GCF is 13

And, it could be rewritten as 13(1 + 5).

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The function g(x) = (x^2 - 6) / (3x + 10) is simplified to

The given equation is a fraction involving two polynomials written in the form

g(x) = (x^2 - 6) / (3x + 10)

The required solution involve substituting x = 4

hence we have that

g(4) = (4^2 - 6) / (3(4) + 10)

Simplifying the function

= (16 - 6) / (12 + 10)

= 10 / 22

= 5 / 11

Therefore, g(4) = 5/11.

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Answer:

7g + 3n - 2

Step-by-step explanation:

when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive

for example, using the above statement we can rewrite the problem as:

7g - 6 + 3n + 4

we can combine -6 and 4 to get -2

7g + 3n - 2 or 7g + 3n + (-2)

Answer:

D = 90°

E = 147°

F = 33°

Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

D is worth 90°, because its supplement is worth 90°

-Chetan K

Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:

Calculation:

\(lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4\)

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Answer:

it's the second one! 11√3 - 7√6

Answer:

B.

Step-by-step explanation: You have to simplify the radical expressions \(\sqrt{48}\) simplified is \(4\sqrt{3}\) and \(\sqrt{58}\) simplified is \(3\sqrt{6}\).

Next, collect the like terms \(7\sqrt{3} + 4\sqrt{3} = 11\sqrt{3}\) then \(4\sqrt{6}- 7\sqrt{6} = 7\sqrt{6}\)

Then you'll put it all together which will give you an answer of  \(11\sqrt{3} - 7\sqrt{6}\)

Trigonometry's sine, cosine, and tangent ratios link the ratio of a right triangle's sides to each angle.

A subfield of mathematics known as trig studies the correlations between triangles' sides and angles. It entails an investigation of the characteristics and purposes of angles as well as the applications of these ideas to practical issues. Using trigonometric functions like sine, cosine, and tangent—which are described in terms of the lengths of the edges of a right triangle—provides the foundation of trigonometry. These functions can be used to solve a variety of triangle-related problems as well as problems involving other geometric shapes by connecting the lengths of a triangle towards the lengths of its sides. In disciplines like engineering, physics, and astronomy, trigonometry is used extensively in daily life.

"Right" is the word that completes the definition.

Trigonometry's sine, cosine, and tangent ratios link the ratio of a right triangle's sides to each angle.

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Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

Answer:

\( \theta = 7 .2\degree \)

Step-by-step explanation:

\(area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta\)

For the lines to be parallel the two angles need to be equal to each other:

128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64

Answer: x = 64

The set equal to A⊂B, where A is the set of even integers between 1 and 20 and B is the set of prime numbers between 1 and 20, is d) (1).

To determine which of the options is equal to A⊂B, where A is the set of even integers between 1 and 20, inclusively, and B is the set of prime numbers between 1 and 20, we need to find the intersection of A and B.
A set is the collection of distinct elements. In this case, A contains the even numbers {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}, and B contains the prime numbers {2, 3, 5, 7, 11, 13, 17, 19}.

The intersection of A and B will contain the elements that are common to both sets. In this case, the intersection is {2}.
Now, let's compare this with the options given:
a) (3,5,7,11,13,17,19) - This set does not include 2, so it is not equal to A⊂B.
b) (13,4,5,6,7,8,911,12,13,14,15,16,17,18,19,20) - This set contains elements outside of the intersection, so it is not equal to A⊂B.
c) (1,9,15) - This set does not include any elements of the intersection, so it is not equal to A⊂B.
d) (1) - This set only contains 1, which is not in the intersection, so it is not equal to A⊂B.
Therefore, the correct answer is d) (1), as it does not include any elements from the intersection of A and B.

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Answer:

what did ur lil sis do??? hurry call the police and get immediate help right away ok

Step-by-step explanation:

The function f(x) = -4ˣ + 5 is an exponential function  and the function g(x) = x³ + x² - 4x + 5 is a polynomial function.

The common features for both are

The domain and the range are defined for all real numbers

They both have y intercepts of different values

What is  exponential function?

An exponential function is a mathematical function that represents exponential growth or decay. It is a function of the form:

f(x) = a bˣ

While a polynomial function is a function having variables that do not have a negative index

The key features

Domain: Both functions are defined for all real values of x since there are no restrictions on the variable x.

Range: Both functions have a range that spans all real numbers.

X-intercepts: The exponential function do not have x intercept while the polynomial function has x intercept at (-3, 0)

Y-intercept: They bot have different y intercepts

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On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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The answer is, "Thuy had the best GPA when compared to her school."

To find out which student had the best GPA when compared to their school, we need to convert each student's GPA to a z-score.

The formula for z-score is:z = (x - μ) / σwhere z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Using the given information, we can convert each student's GPA to a z-score:

Thuy: z = (3.4 - 2.8) / 0.3z = 2

Vichet:z = (3.5 - 3.5) / 0.4z = 0

Kamala: z = (82 - 86) / 4z = -1

Now that we have the z-scores for each student, we can compare them.

The student with the highest z-score had the best GPA compared to their school. In this case, Thuy had the highest z-score of 2, so she had the best GPA compared to her school.

Therefore, the answer is, "Thuy had the best GPA when compared to her school."

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Answer:

1200INCHES²

Step-by-step explanation:

the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200

Answer:

The lines are parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the equations into slope-intercept form.

x-5y = 30 ⇒ y = ⅕x - 6

10y = 2x + 90 ⇒ y = ⅕x + 9

Both lines have slope = ⅕, so the lines are parallel.

Research that provides data which can be expressed with numbers is called quantitative research.

Quantitative research is a type of research that focuses on gathering and analyzing numerical data. It involves collecting information or data that can be measured and quantified, such as numerical values, statistics, or counts. This research method aims to objectively study and understand phenomena by using mathematical and statistical techniques to analyze the data.

Quantitative research typically involves the use of structured surveys, experiments, observations, or existing data sources to gather information. Researchers often employ statistical methods to analyze the data and draw conclusions or make predictions based on the numerical findings.

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Consistent System of Equations

In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2

Answer:

B, C, and E

Step-by-step explanation:

6(x+4)+35

B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)

C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)

E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)

Answer:

I Honestly Dont Know Sorry haahahhahaha Go F ur self

Step-by-step explanation: