Write an equation for the line having slope -6 that passes through the
point (5,-5).

Answer:

Step-by-step explanation:

AR⊥RS (tangent line is ⊥ to radius of the circle)

BS ⊥ RS (tangent line is ⊥ to radius of the circle.)

∴ AR and BS ⊥ to same line RS.

Hence either AR and BS are in same line  or parallel.

But they are radii of different circles.

∴ AR ║BS

The other dude is right, there is no point putting the same answer.

Answer:

\(x = 11/4\)

Step-by-step explanation:

Given

\(1 + \sqrt{4x + 5} = 5\)

Required

The solution

\(1 + \sqrt{4x + 5} = 5\)

Collect like terms

\(\sqrt{4x + 5} = 5 - 1\)

\(\sqrt{4x + 5} = 4\)

Square both sides

\(4x + 5 = 16\)

Collect like terms

\(4x = 11\)

Divide both sides by 4

\(x = 11/4\)

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

\(P'(x,y) = (x+3, y-8)\)

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

\(P'(x,y) =P(x,y) +T(x,y)\) (1)

Where:

\(P(x,y)\) - Initial position of the traveller, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

\(P'(x,y)\) - Final position of the traveller, dimensionless.

Let suppose that \(y > 0\) represents the number of steps to the north, and \(x> 0\), the number of steps to the east.

If we know that \(P(x,y) =(x,y)\) and \(T(x,y) = (3, -8)\), then the resulting equation is:

\(P'(x,y) = (x,y) +(3,-8)\)

\(P'(x,y) = (x+3, y-8)\)

Answer:

43

Step-by-step explanation:

We're to evaluate, |c² - d⁴| + (cd)², if c = 3 and d = -2

Substitute:

|3² - (-2)⁴| + (3 * -2)²

|9 - 16| + (-6)²

|-7| + 36

7 + 36 (absolute value of -7 = 7)

= 43.

The expression tan(arcsec(x/3)) can be written   \(1/3 \sqrt{x^2-9}\)  in algebraic form.

The inverse secant function, or arcsecant, is defined as the inverse of the secant function, which is the ratio of the length of the hypotenuse of a right triangle to the length of the adjacent side. Given x/3 as the length of the adjacent side, arcsec(x/3) is the measure of the angle that has a secant equal to x/3.

The tangent function is the ratio of the length of the opposite side of a right triangle to the length of the adjacent side. By substituting arcsec(x/3) as the measure of the angle in a right triangle, we can use the tangent function to find the ratio of the lengths of the opposite and adjacent sides, which is equal to \(1/3 \sqrt{x^2-9}\).

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Answer:

First account: $6380.

Second account: $4251.

Step-by-step explanation:

let the first account have $x at the start of the first year

So at the end of 1 year it had x + 0.1x = $1.1x

In the same we we calculate the amount in the second account

= $1.09(9700 - x)

So we have the following equation

1.1x + 1.09(9700 - x) = 9700 + 931

1.1x + 10573 - 1.09x = 10631

0.01x = 10631 - 10573 = 58

x = 58/0.01

   =$5800

So at the end of the year there was

5800 * 1.1 = $6380 in first account

and

the second account had

1.09 (9700 - 5800) = $4251.

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Answer:

Step-by-step explanation:

a = 2i + 3j + zk

b = xi + 1j + 4k

Given a X b = 6i -14j +5k

a X  b  = | i   j   k|

              |2  3   z|

              |x   1    4|

a X b = i(12-z) - j(8 - xz) + k(2-3x) = 6i -14j +5k

equate the coefficients of i , j and k

12- z = 6;  implies z = 6

8 - xz = -14 implies 8 - 6x = -14

2-3x = 5     implies 2 - 3x = 5 implies  x = -1

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Answer:

The probability is  \(P( X \le 4 ) = 0.0054\)

Step-by-step explanation:

From the question we are told that

   The percentage that are on time is  p =  0.76

   The  sample size is n =  11

Generally the percentage that are not on time is

     \(q = 1- p\)

     \(q = 1- 0.76\)

     \(q = 0.24\)

The  probability that no more than 4 of them were on time is mathematically represented as

        \(P( X \le 4 ) = P(1 ) + P(2) + P(3) + P(4)\)

=>     \(P( X \le 4 ) = \left n } \atop {}} \right.C_1 p^{1} q^{n- 1} + \left n } \atop {}} \right.C_2p^{2} q^{n- 2} + \left n } \atop {}} \right.C_3 p^{3} q^{n- 3} + \left n } \atop {}} \right.C_4 p^{4} q^{n- 4}\)

\(P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{11- 1} + \left 11 } \atop {}} \right.C_2p^{2} q^{11- 2} + \left 11 } \atop {}} \right.C_3 p^{3} q^{11- 3} + \left 11 } \atop {}} \right.C_4 p^{4} q^{11- 4}\)

\(P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{10} + \left 11 } \atop {}} \right.C_2p^{2} q^{9} + \left 11 } \atop {}} \right.C_3 p^{3} q^{8} + \left 11 } \atop {}} \right.C_4 p^{4} q^{7}\)

\(= \frac{11! }{ 10! 1!} (0.76)^{1} (0.24)^{10} + \frac{11!}{9! 2!} (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!} (0.76)^{3} (0.24)^{8} + \frac{11!}{7!4!} (0.76)^{4} (0.24)^{7}\)

\(P( X \le 4 ) = 0.0054\)

Answer:

I think it's =

Step-by-step explanation:

they both equal 32.

Answer:

=

Step-by-step explanation:

6^2 - 2^2

36 - 4

32

4 (6 + 2)

24 + 8

32

Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.

Wikipedia shouldn't be used as the sole source of information, for this reason.

The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.

In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.

Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.

Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

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Answer:

\(Probability = \frac{1}{5}\) or \(Probability = 0.2\)

Step-by-step explanation:

Given

\(Black = 25\)

\(White = 35\)

\(Red = 40\)

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

\(Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)\)

Convert to mathematical expressions

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)

Solve for each probaility;

\(P(Black) = \frac{Black}{Total} = \frac{25}{100}\)

\(P(Red) = \frac{Red}{Total} = \frac{40}{100}\)

So, we have:

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)\(Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]\)

\(Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]\)

\(Probability = [\frac{1}{10}] + [\frac{1}{10}]\)

\(Probability = \frac{1+1}{10}\)

\(Probability = \frac{2}{10}\)

\(Probability = \frac{1}{5}\)

or

\(Probability = 0.2\)

the slope is -6 and the y-intercept is 10

the number before x is always the slope

Answer:

Slope = -6

y-intercept = (0, 10)

Step-by-step explanation:

Slope-intercept form is y=mx+b.

In this formula, "m" represents the slope and "b" represents the y-intercept. The given equation uses "-6" as m and "+10" as b.

The y-intercept is given as a coordinate because that is how it falls on a graph. The line would hit the y-axis at (0, 10).

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:

Hey]

I got uu

Sorry for late reply

Step-by-step explanation:

It's

Dialiation

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer: 3x-27

Step-by-step explanation:

Answer:

3x-21

Step-by-step explanation:

3(x-9)+6

3x-27+6

3x-21

Answer:

20+5(x-2) im pretty sure

Step-by-step explanation:

Answer:

D. <3 and <7

Step-by-step explanation:

Corresponding angles are angles that are on matching sides and that are cut by a transversal.

Hope this helps!

The required estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To estimate the reduced Total Wages for the next two weeks combined, we can use the following formula:

Reduced Total Wages = Current Total Wages x (1 - Wage Reduction Percentage)

Reduced Total Wages = C × (1 - 0.025) × 2

Simplifying this expression, we get:

Reduced Total Wages = C × 0.975 × 2

Reduced Total Wages = 1.95C

Therefore, the estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

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Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 cause it literally says X is equal to 5 XD

Hopes this helps please mark brainliest

Answer:

A = 80π

Step-by-step explanation:

Area of a circle is A = πr²

Area of the the largest circle - Area of the smaller circle = the shaded part.

Largest circle    -    Area of the smaller circle   = Shaded part of circle

A  = π(12)²         -     A = π(8)²

    144π            -      64π                           =        80π

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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