4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!

The equation 3y + 7 = x does not represent a direct proportion.

The constant of proportionality is a value that describes the relationship between two variables in a proportional relationship. For example, if y is proportional to x, and y = 2 when x = 4, then the constant of proportionality would be 0.5 (since 2/4 = 0.5). The constant of proportionality is often represented by the letter "k".

A direct proportion is a relationship between two variables where their ratio is always constant.

In the equation, 3y + 7 = x, the relationship between x and y is not fixed, so it does not represent a direct proportion.

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The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

Option B.

Step-by-step explanation:

According to the question, the data provided is as follows

\(H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)\)

Based on the above information,

The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong  

So , the type II error is option B as we dont create any difference also the proportion is very less

e)

1) Since we know the slope, and the y-intercept from the previous items we can tell the function's rule is:

Note that the slope tells us how steep is the line, and the b-coefficient is 13.

2) And that is the answer.

Answer:

  131 ft

Step-by-step explanation:

You want the height of a building if two observations of its top separated by 60 vertical feet have angles of elevation of 48° and 31°.

Let x be the distance to the building at street level, and y be the height of the building. The tangent relation is ...

  Tan = Opposite/Adjacent

The first observation tells us ...

  tan(48°) = y/x

The second observation tells us ...

  tan(31°) = (y -60)/x

Solving each equation for x gives ...

  x = y/tan(48°)

  x = (y -60)/tan(31°)

The difference of these x-values is zero, so we have ...

  x - x = 0

  y/tan(48°) -(y -60)/tan(31°) = 0

  y(1/tan(48°) -1/tan(31°)) +60/tan(31°) = 0

Subtracting the constant and dividing by the coefficient of y, we get ...

  y = (60/tan(31°))/(1/tan(31°) -1/tan(48°)) = 60·tan(48°)/(tan(48°) -tan(31°))

  y ≈ 130.724

The height of the building is about 131 feet.

Answer

A

Step-by-step explanation:

Answer:

The suit originally cost $200.

Step-by-step explanation:

In order to calculate the original price of the suit, you can use a rule of three considering that $116 represents 58% of the original price:

116 → 58%

x  ←  100%

x=(116*100)/58

x=200

According to this, the answer is that the suit originally cost $200.

Answer:

1:2

4:1

1:5

5:7

I can't really give a step by step but just find the distance for the numerator and denominator and simplify

Answer:

\(x=4.375\)

Step-by-step explanation

From the question we are told

Plane A starts at altitude 790

Plane B starts at altitude 1142

Plane A losing altitude at 14 meters per second

Plane B is losing altitude at 22 meters per second

Generally the altitude of both plane is given by

Plane A= \(790-14x\)

Plane B=\(1142-22x\)

Therefore when they exist in the same altitude

\(790-14x\) =\(1142-22x\)

\(-350=-8x\)

\(\frac{-350}{-8} =x\)

Therefore

\(x=4.375\)

represent the days as a variable

days= x

remeber that 80c is the same as $0.80

write an equation that models this situation

solve the equation for x

according to this, after 31.875 days he will have enoght for the hat

Answer:

32 days

Step-by-step explanation:

25.50 / (.80 /day)=  31.875  days <===  so after 32 days he will have enough    

Answer:

It is data outside what you would expect.

Step-by-step explanation:

An example would be if I asked everyone is a class how many dogs they dad living with them.  I would expect to get answers like 0, 1, 2, 3 or 4.  If someone answered 115 that would be be an outlier, it is outside all of the data that I have collected.

Answer: The answer is 0.

Step-by-step explanation:

2(3x-1) = 4x

6x-2 = 4x

-2 = -2x

0 = x

Answer:

9.6km

Step-by-step explanation:

3200/(1/3)=

3200*3/1=9600 m=9.6km

Answer:

a = 1

Step-by-step explanation:

3a - 1 = 2a

3a - 2a - 1 + 1 = 2a - 2a + 1

a = 1

Answer:

Your answer is A = 1

Step-by-step explanation:

You would subtract 3a from 2a

so it would be -1 = 1a

Then divide by 1 and your answer is A= 1

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

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To complete each ordered pair using the function y = 200 tan(x) on the interval 0° ≤ x ≤ 141°, we need to substitute different values of x within that interval and calculate the corresponding values of y. Let's calculate the ordered pairs by rounding the answers to the nearest whole number:

1. For x = 0°:

  y = 200 tan(0°) = 0

  The ordered pair is (0, 0).

2. For x = 45°:

  y = 200 tan(45°) = 200

  The ordered pair is (45, 200).

3. For x = 90°:

  y = 200 tan (90°) = ∞ (undefined since the tangent of 90° is infinite)

  The ordered pair is (90, undefined).

4. For x = 135°:

  y = 200 tan (135°) = -200

  The ordered pair is (135, -200).

5. For x = 141°:

  y = 200 tan (141°) = -13

  The ordered pair is (141, -13).

So, the completed ordered pairs (rounded to the nearest whole number) are:

(0, 0), (45, 200), (90, undefined), (135, -200), (141, -13).

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Answer:

2 to 3 or 2 : 3

Step-by-step explanation:

The equation of the line passing through points  ​(​4,10​) and ​(-2​,-20​) is

y = 5x - 20

Equation of a line refers tp the equation of the form y = mx + c. where

m =slope of the line

c =  intercept

The given data include

points  ​(​4,10​) and ​(-2​,-20​)

finding the slope of t he line

m = ( -20 - 10 ) / ( -2 - 4 )

m = ( -30 ) / ( -6 )

m = 5

Assuming  some points x' and y' on the line passing through points (4, 0 )

y' - y = 5( x' - x )

y' - 0 = 5 (x' - 4 )

y' = 5x' - 20

The equation of the line is calculated to be y = 5x - 20

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False.

An argument with premises "p ---> q" and "q ---> r" is valid only if its conclusion follows logically from the premises.

An argument with premises "p ---> q" and "q ---> r" is valid only if its conclusion follows logically from the premises.

For example, if the conclusion is "p ---> r," then the argument is valid because:

- If p ---> q and q ---> r, then by transitivity of implication, p ---> r.

However, if the conclusion is "r ---> p," then the argument is not valid because:

- If p ---> q and q ---> r, we cannot infer that r ---> p.

Therefore, the validity of an argument with premises "p ---> q" and "q ---> r" depends on the specific conclusion being drawn, and not all conclusions are valid.

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The requried, Kerry needs to pay $629 as tax.

To find out how much tax Kerry paid, we need to first calculate the amount of tax based on the purchase price of the car.

The sales tax rate is 8.5% or 0.085 as a decimal. So the amount of tax Kerry paid is:

$7,400 x 0.085 = $629

Therefore, Kerry paid $629 in sales tax.

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The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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The parametric representation for torus is x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter

Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations

According to the question,

The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

z = a sin a

y = |PQ| and x = |OP|

but , |OQ| = |OR| + |RQ| = b + a cos a

sin ∅ = |PQ| / |OQ|

So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅

Similarly ,

cos ∅ = |OP| / |OQ|

so that x =  (b + a cos a ) cos ∅

Hence , a parametric representation for a torus is

x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a

where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

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Answer:

- 12(x + 2)

Step-by-step explanation:

- 12x - 24 ← factor out the common factor of - 12 from each term

= - 12(x + 2)

Answer:

Cylinder B has a greater volume

Step-by-step explanation:

Volume of a cylinder\(=\pi r^2h\)

Cylinder A

h=5m, r=3m

Volume

\(=3.14 *3^2*5\\=141.3m^3\)

Cylinder B

h=3m, r=5m

Volume

\(=3.14 *5^2*3\\=235.5m^3\)

Cylinder B has a greater volume.

Answer:

38

Step-by-step explanation:

10+10=20

4+4=8

3+3=6

4+6+8+20=38

Answer:

  D.  f(x - k) = f(x) + k​

Step-by-step explanation:

You want to know the effect on f(x) = -x +8 when x is replaced by x±k.

A function is evaluated by replacing the independent variable in its definition by the function argument.

  f(x) = -x +8

  f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we have ...

  f(x -k) = f(x) +k

The correct statement for the function is: f(x -k) = f(x) +k​. And option(D) is write answer.

How to perform function evaluation?

In mathematics, function expression is mainly consist of dependent variable and the independent variable. And the function is evaluated by replacing the independent variable in its definition by the function argument.

According to the question, the given function expression is: f(x) = -x +8

Now, to know the effect on f(x) = -x +8 when x is replaced by x ± k. This transformation is known as scaling translation.

Therefore, the function expression can be written as:

f(x) = -x +8

⇒ f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we get:  f(x -k) = f(x) +k

Hence, the correct statement for the function is: f(x -k) = f(x) +k

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