if a baseball were thrown horizontally from a height of 0.809m. How much time would it take to hit the
ground? Show your work

Answer:

Step-by-step explanation:

Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.

(10-x)(3x-9)=0 when

10-x=0, x=10

3x-9=0, x=9/3=3

So there are two solutions when x=3 and x=10

The permeability of iron is calculated as 4 x 10⁻⁴.

A magnetic field is induced in an iron rod if it is placed in a vertical solenoid. The magnetizing field is given as H = 3200 A/m, and the horizontal component of the earth's magnetic field is B = 50 π 10⁻⁶ T. We are supposed to determine the value of the permeability of iron.

The cross-sectional area of the iron rod, A = 0.03 cm² = 0.03 x 10⁻⁴ m²

The vertical force acting on the magnetic needle is given as Fv = BIl where I is the current and l is the length of the wire.

The magnetic field produced by a solenoid is given as B = μ₀nI Where n is the number of turns per unit length of the solenoid.

Multiplying the above equations, we get Fv = μ₀nIBl ...(i)

As the rod is placed perpendicular to the horizontal component of the earth's magnetic field, a horizontal force is exerted on it by the earth's magnetic field, and this is given as Fh = mB where m is the magnetic moment of the needle.

The torque acting on the needle is given as τ = mBHsinθ Where θ is the angle of deflection of the needle.

The restoring couple that opposes the torque is given as C = θκ where κ is the torsion constant of the needle.

The angle of deflection of the needle is given asθ = (Fv - Fh)l/CThe value of μ can now be obtained using the following formula: μ = μ₀ μr , where μr is the relative permeability of iron.

To begin with, we know that B = 50π x 10⁻⁶ T and H = 3200 A/m.

Also, the cross-sectional area of the rod, A = 0.03 cm² = 0.03 x 10⁻⁴ m².

The magnetic field produced by the solenoid is B = μ₀nI ...(ii)As per Ampere's law, the magnetic field is given as B = μH ...(iii)where μ is the permeability of the material in the solenoid.

Dividing equations (ii) and (iii), we getμ/μ₀ = nI/HPlugging in the values given in the question, we get μ/μ₀ = (1/0.2) x (3200)μ/μ₀ = 16000

The value of μ is given as μ = μ₀μr

μr = μ/μ₀

= 16000/4π x 10⁻⁷

μr = 4 x 10⁴

The permeability of iron is calculated as 4 x 10⁴.

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Each month we have to deposit 1389 of amount and we get interest of 30000

percentage, a relative value indicating hundredth parts of any quantity.

Given 500000 to be in our account in retirement of 30 years.

We need to find how much we have to deposit each month.

We know that in a year there are 12 months.

For 30 years the number of months are 12×30=360

So Now divide 500000 by 360 to find each month deposit

500000/360=1388.8

So each month one has to deposit 1389 into account.

Now if account earns 6% of interest. We need to find how much amount we earned.

6% is converted to decimal by dividing 6 by 100

0.06

Now multiply with 500000

0.06×500000

30000

Hence, each month we have to deposit 1389 of amount and we get interest of 30000.

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Answer: (2, 0)

Step-by-step explanation:

The coordinate of the point is  (2/5, 8/5), that divides a line segment in ratio 2:3, that has end points R(-2, - 2) and S(4, 1).

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given points are R(-2, - 2) and S(4, 1).

To find the coordinates of point the is 2/3 of the way from point R to S

Use formula, coordinates of point,

{[(mx₂+nx₁)/(m+n)], [(my₂+ny₁)/(m+n)]}

The coordinate of the point that divide the line made by points  R(-2, - 2) and S(4, 1) in ratio 2:3,

= {[(2 × 4 + 3 × (- 2)) / (2 + 3)],[(2 × 1 + 3 × 2) / (2 + 3)]}

= [(8-6)/5, (2+6)/5]

= (2/5, 8/5)

The coordinate of the point that divides the line segment in ratio 2:3, that has end points R(-2, - 2) and S(4, 1) is  (2/5 , 8/5),

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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a) The z-score for a 7.9-pound Russian Blue cat is approx -2.3.
b) A negative z-score show that the cat's weight is below the mean.

c) Cat weight is not outlier by three standard deviations criterion.

a) To calculate the z-score, we use the formula: z = (x - μ) / σ, where x is the given weight, μ is the mean, and σ is the standard deviation. For a cat weighing 7.9 pounds, the z-score is (7.9 - 11) / 1.3 ≈ -2.31 (rounded to one decimal place).

b) The negative z-score tells us that the weight of the Russian Blue cat is below the mean weight. In this case, the cat weighs approximately 2.31 standard deviations below the mean weight. The negative sign indicates that the weight is below the mean.

c) To determine if the data value is an outlier using the three standard deviations criterion, we check if the z-score is less than -3 or greater than +3.

In this case, the z-score (-2.31) is between -3 and +3, indicating that the cat's weight is not considered an outlier according to this criterion.

However, it is worth noting that outliers can be defined using other criteria or domain-specific considerations.

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Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Step-by-step explanation:

General formula for a(n) = -22 + 5n, where n is the term number.

Hence a13 = -22 + 5(13) = 65 - 22 = 43.

Answer:

-2/1

Step-by-step explanation:

In the equation\(`x = sin^-1(1/u)`,\) the letter x represents the angle while the letter u represents the value of the trigonometric function.

The inverse sine function is defined as the arc or angle whose sine is equivalent to the value of the input argument.

It's also known as the arcsine function. In trigonometry, it is commonly represented as \(sin^-1\) or arcsin.

In trigonometry, the sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse of a right-angled triangle.

It is often abbreviated as sin.

The sine of an angle x is denoted by

sin(x) = Opposite side / Hypotenuse.

For any angle x, the sine function returns a value between -1 and 1.

In summary, x represents the angle in the equation \(x = sin^-1(1/u)\)while u represents the value of the trigonometric function, which is equal to 1/sin(x).

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An equation of a line AC with the given coordinates is 3x+11y+34=0.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, ΔABC with the coordinates A(-4, -2), B(4, 4), and C(18, -8).

Here, the slope of AC is A(-4, -2) and C(18, -8)

So slope m=(-8+2)/(18+4)

m= -6/22

m= -3/11

Substitute m=-3/11 and (x₁, y₁)=A(-4, -2) in (y - y₁) = m(x - x₁), we get

(y+2)=-3/11 (x+4)

11y+22=-3x-12

3x+11y+34=0

Therefore, an equation of a line AC with the given coordinates is 3x+11y+34=0.

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The answer is (d) all of the above. Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a), (b) and (c) since it offers her a higher expected value and complies with the independence axiom.

Alice prefers $450 for sure to the gamble ($1000 w.p. 0.5 $0 w.p. 0.5). The expected value of the gamble is $500, while the expected value of $450 is clearly lower. This complies with the independence axiom, as she is preferring a certain $450 to an uncertain $500.

Therefore, Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a) ($1000 w.p. 25% 0 w.p. 75%), (b) $225, and (c) $200, since it offers her a higher expected value and complies with the independence axiom. Thus, the answer is (d) all of the above.

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Martin had $11.50 left to spend on gift c after purchasing gifts a and b.

Martin initially had $30 to spend on three gifts. He spent $10.34 on gift a and $4.12 on gift b. To calculate how much money he had left for gift c, we need to subtract the total amount spent on gifts a and b from the initial amount.

The total amount spent on gifts a and b is $10.34 + $4.12 = $14.46. Now, to find out how much money Martin had left, we subtract this amount from the initial $30: $30 - $14.46 = $15.54.

Therefore, Martin had $15.54 remaining to spend on gift c. However, the question specifies the amount in dollars and cents, so we need to consider that Martin can only spend in whole numbers. Therefore, the closest whole number to $15.54 that Martin can use for gift c is $15.

In conclusion, Martin had $11.50 left to spend on gift c after purchasing gifts a and b.

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The common ratio of the Geometric sequence 19, 38, 76 ....  is 2.  

The distance between each number in a geometric series is known as the common ratio.

The reason it is common to all numbers and also the ratio between two consecutive numbers in the sequence is why it is known as the common ratio.

Divide the nth term by the (n-1)th term in a geometric series to find the common ratio.

The common ratio of the Geometric sequence 19, 38, 76 is

 common ratio = (38/19) = 2

or   common ratio  = 76/38 = 2

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The solution to the logarithmic equation is - 10 / 3.

Logarithms are examples of trascendent functions, that is, function that cannot be described in algebraic terms. Herein we must take advantage of logarithm properties to solve for x in the expression given. The complete procedure is shown below:

㏒₃ (3 · x - 2) - ㏒₃ (x + 2) = 2                        Given

㏒₃ [(3 · x - 2) / (x + 2)] = 2                             Logarithm of a division of functions

(3 · x - 2) / (x + 2) = 3²                                    Definitions of power and logarithm

(3 · x - 2) / (x + 2) = 9                                      Definition of power

3 · x - 2 = 9 · (x + 2)                                        Definition of division / Compatibility with multiplication / Existence of the multiplicative inverse / Associative and modulative properties

3 · x - 2 = 9 · x + 18                                         Distributive property

- 20 = 6 · x                                                       Compatibility with addition / Existence of the additive inverse / Associative, commutative and modulative properties

6 · x = - 20                                                       Symmetric property

x = - 20 / 6                                                       Definition of division / Compatibility of multiplication / Existence of the multiplicative inverse / Associative, commutative and modulative properties

x = - 10 / 3                                                        Simplification of fractions / Result

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The rate of change of an object's velocity with respect to time is defined as acceleration. The speed of a after it has moved 2m starting from rest is 1.98 m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

We can see that the acceleration of 3kg mass is double that of the 8kg mass. Therefore, Writing the force conservation equations altogether,

(T - 3g)/3 = 2(8g - 2T)/8

T= 3.6*g

Now, the Acceleration of 8kg mass can be written as

a = (8g - 2T)/8

  = 0.8g/8

  =0.1g

Therefore, acceleration of mass 3kg = 2×a = 0.2g

Further, as per the law of motion we can write,

v² - u² = 2as

Substituting the values, u =0; a=0.1g; s=2m; we will get,

v=1.98m/s

Hence, the speed of a after it has moved 2m starting from rest is 1.98 m/s².

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p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.

Answer:

C

Step-by-step explanation:

The correct answer is C, love from Gauthmath

Answer:

the correct answer is option C

Step-by-step explanation:

(negative 7 x + 4)(negative 7 x minus 4)

Answer:

A.

Step-by-step explanation:

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.  

Answer:

x=-1.837 or 1.837

Step by Step explanation:

Use the standard form,ax²+bx+c=0 , to find the coefficients of our equation, :

q = 32

b= 0

c= -108

x=-1.837 or x=1.837

I hope this is helpful

pls tag brainliest answer

The test statistic to test the significance of the slope in this regression equation is approximately -2.91.

To test the significance of the slope in the regression equation ŷ = 29.29 - 0.64x with a sample size of 8 and a standard error of the slope equal to 0.22, you can use the t-test statistic. The t-test statistic measures the difference between the observed slope and the null hypothesis slope (which is typically 0, assuming no relationship between the variables) divided by the standard error of the slope.

In this case, the null hypothesis slope (H₀) is 0, the observed slope (b₁) is -0.64, and the standard error of the slope (SE) is 0.22. To calculate the test statistic (t), use the following formula:

t = (b₁ - H₀) / SE

Substitute the given values:

t = (-0.64 - 0) / 0.22

t = -0.64 / 0.22

t ≈ -2.91

The test statistic to test the significance of the slope in this regression equation is approximately -2.91. You can use this value to determine the p-value and assess the significance of the relationship between the variables based on a chosen significance level (e.g., 0.05).

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Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2

3:7  

This means that for every 7 blue chairs, there are 3 red chairs.

Answer:

yes, they are both the same

Step-by-step explanation:

Answer: I think the answer is "NO" there not

Step-by-step explanation:

HOPE THIS HELPS SORRY IF I AM INCORRECT

Answer:

4.9,5.0

Step-by-step explanation:

Thier is two open spaces and the decimals are decreasing by 1 tenth. So if 1 tenth is being decreased the order would be 4.9, 5.0, 5.1, 5.2, 5.3, 5.4.

Answer:

4.9, 5 , 5.1 , 5.2 , 5.3 , 5.4

Step-by-step explanation:

5.4-5.3 = 0.1

5.3-5.2 = 0.1

5.2-5.1 = 0.1

then the pattern is : adding 0.1 to the number to get the next number

5.1 - 0.1 = 5

5 - 0.1 = 4.9

Answer:

$4.50x = $127.50 - $87

x = $40.50 / $4.50

x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

Answer:

-24

Step-by-step explanation:

\(x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24\)