A company finds that on average, they use 43 minutes for each meeting.

An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.
If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Answer:

-48

Step-by-step explanation:

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90-degree counterclockwise rotation around point A (Option B) followed by a reflection across the y axis and a translation 20 units down (Option B)

A transformation is a general term which indicates four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. There are 4 types of transformation: translation, rotation, reflection, and enlargement.

Consider the quadrilateral ABCD has vertices with coordinates A(15,10) B(15,20) C(20, 15) and D(20, 5)

When rotating a point 90 degrees counterclockwise about the point, point A remains the same. Hence A(15,10) →A'(15,10);  B(15,20)→B'(5,10); C(20,15)→C'(10,15); D(20,5)→D'(20,15).

A reflection across the y axis is given as  (x,y)→(-x,y). Hence, A'(15,10)→A''(-15,10); B'(5,10)→B''(-5,10); C'(10,15)→C''(-10,15); D'(20,15)→D''(-20,15).

When translation of 20 units down occurs, (x.y) → (x, y-20). Hence, A''(-15,10)→G(-15,-10); B''(-5,10)→H(-5,-10); C''(-10,15)→I(-10,-5); D''(-20,15)→J(-20,-5).

Note: The question is incomplete. The complete question probably is: The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a_____ followed by a______. first blank could be A. reflection across the y-axis B. 90-degree counterclockwise rotation around point A C. 90 degree clockwise rotation around point A D.90 degree counterclockwise rotation around point B second blank could be A. clockwise rotation about point B and a translation 20 units down B. reflection across the y axis and a translation 20 units down C. reflection across the x axis and a translation 15 units down D. reflection across the y axis and a translation 25 units down.

Learn more about Transformations:

https://brainly.com/question/4289712

#SPJ4

Answer:

Answer below!

Step-by-step explanation:

\(15x^{2} -25x=0\\5x(3x-5)=0\\ \frac{5x}{5}=\frac{0}{5} ;x=0\)

3x - 5 = 0

Add 5 to both sides;

3x = 5

Divide both sides by 3;

\(x=\frac{5}{3}\)

The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. We need to find the probability that a particular light will last more than 250 hours.

Given mean = μ = 210 hours. Standard deviation = σ = 50 hours. Let X be the lifetime of a photographic light. X ~ N (μ, σ) = N (210, 50). The probability that a particular light will last more than 250 hours can be calculated as follows: P(X > 250) = 1 - P(X < 250)Let Z be the standard normal variable.

Then, (250 - μ) / σ = (250 - 210) / 50 = 0.8P(X < 250) = P(Z < 0.8). Using the z-table, the probability that Z is less than 0.8 is 0.7881. Therefore, P(X > 250) = 1 - P(X < 250) = 1 - 0.7881 = 0.2119. Hence, the probability that a particular light will last more than 250 hours is 0.2119.

To know more about probability, click here:

https://brainly.com/question/31828911

#SPJ11

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

Learn more about differential equation

brainly.com/question/14620493

#SPJ4

The cross product of u1 = −3 + −2 + −2 and u2 = −2 + −5 + 4 is given by ×u1u2=((-3)(-2)+(-2)(-5)+(-2)(4))=26.

Learn more about Cross product

brainly.com/question/29164170

#SPJ11

Answer:

did you use google.if not use it it is good to use.

Answer: 28

Step-by-step explanation:        4+4+4+4+4+4+4=28 :)

The value of an independent variable from the prior period is referred to as a lagged variable. Therefore, the correct option is A.

This is because the value is based on data from a previous time period and is used to predict the current value of the dependent variable. A lagged variable is important in time series analysis, where the values of a variable over time are analyzed to identify trends and patterns.

By including lagged variables in a model, we can account for the influence of past values on the current value, which can help to improve the accuracy of our predictions. Therefore, when working with time series data, it is important to include lagged variables as predictors in our models. Hence, the correct answer is option A.

Learn more about Time series analysis:

https://brainly.com/question/28285785

#SPJ11

The slope of the tangent line to the graph of f(x) = −x² + 4x at x = 4 is 0, and the equation of the tangent line is y = 0.

The slope of a tangent line to a graph of a function is a measure of how steeply the function is increasing or decreasing at a certain point. A tangent line is a line that just touches the graph at a single point and has the same slope as the graph at that point.

Here we need to find the slope of the tangent line to the graph of

=> f(x) = −x² + 4x at x = 4,

we first need to determine the derivative of the function. The derivative of the function gives us the rate of change of the function, which is the slope of the tangent line.

Here The derivative of f(x) = −x² + 4x is given by

=> f'(x) = −2x + 4.

Now we have to find the slope of the tangent line at x = 4, we evaluate the derivative at x = 4:

=> f'(4) = −2 * 4 + 4 = 0.

So, the slope of the tangent line at x = 4 is 0.

To know more about tangent line here.

https://brainly.com/question/23265136

#SPJ4

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

To know more about abscissa visit:

brainly.com/question/32034993

#SPJ11

Answer:

a

Step-by-step explanation:

Determine the amount of sales she made that month

a. The total amount of sales is Ksh 450,000

b. Her commission in february is  Ksh 34,480

Total earning is Ksh 43,860

a) Jane's total earnings in January were Ksh 48,000, and her base salary is Ksh 20,000. This means that she earned an additional Ksh 28,000 in commissions.

Since her commission rate is 8% for sales in excess of Ksh 100,000, we can calculate the amount of sales she made in January by first calculating the sales over which she got a commission.

Ksh 28,000 is 8% of the sales over Ksh 100,000. So we can set up the following equation and solve for the sales:

0.08 * sales = 28,000

Solving for sales:

sales = 28,000 / 0.08 = Ksh 350,000

Since she only earns a commission on sales in excess of Ksh 100,000, the total amount of sales she made in January would be:

Ksh 100,000 (no commission threshold) + Ksh 350,000 (sales over the threshold) = Ksh 450,000

b) i) If her total sales in February increased by 18%, her sales in February were:

1.18 * Ksh 450,000 = Ksh 531,000

But remember, she only gets a commission on sales over Ksh 100,000. So the sales that will earn a commission in February are:

Ksh 531,000 - Ksh 100,000 = Ksh 431,000

Her commission in February is 8% of this amount:

0.08 * Ksh 431,000 = Ksh 34,480

ii) If her sales in March then dropped by 25%, her sales in March were:

0.75 * Ksh 531,000 = Ksh 398,250

The sales that will earn a commission in March are:

Ksh 398,250 - Ksh 100,000 = Ksh 298,250

Her commission in March is 8% of this amount:

0.08 * Ksh 298,250 = Ksh 23,860

So, her total earnings in March (her base salary plus her commission) would be:

Ksh 20,000 + Ksh 23,860 = Ksh 43,860

Read more on sales commission here https://brainly.com/question/24951536

#SPJ2

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

Learn more about money

brainly.com/question/2696748

#SPJ11

Answer:

The exponential equation is y = -2×(1/2)^x

Step-by-step explanation:

Ok we have a couple things to note here:

1) The horizontal asymptote of the function is the x axis (always nice)

2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)

3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:

y=a×b^x----> -1 = (-2)(b) ------> b=1/2

Therefore, the exponential equation is y = -2×(1/2)^x

Test:

At x = 0, y= -2

At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4

At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2

Thus we can be quite certain that this is correct

1/28561 is the probability that all four cards are kings

Hearts, clubs, spades, and diamonds make up the four suites of a normal deck of cards. thirteen cards total—aces, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king—make up each suite. Thus, there are 52 cards in all in the deck.

The four French suits—clubs, diamonds, hearts, and spades—each have 13 ranks. King, Queen, and Jack are the three court cards (face cards) in each suit, and their pictures are reversed (double-headed). The ten numerical cards, or pip cards, in each suit range in value from one to 10.

In a pack of cards, there are 52 cards and 4 Kings.

Probability of picking a King is:  4/52 = 1/13 .

Since a card is being replaced before picking up the next card, the probability of picking a King is always  1/13 .

Picking a subsequent King is independent of picking a King previously and thus we multiply the individual probabilities to arrive at the combined probability.

Thus, the required probability is:

= 1/13 × 1/13 × 1/13 × 1/13

= 1/28561

To know more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

The future value of the continuous cash flow from the VP of Marketing job, assuming a 2% continuous interest rate and a 34-year working period, is approximately $157,960.

To calculate the future value of a continuous cash flow, we can use the formula:

\(FV = P*e^(rt)\)

where FV is the future value, P is the present value (in this case, the annual salary of $80,000), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate expressed as a decimal (in this case, 2% or 0.02), and t is the number of years.

Since we plan to retire at age 62 and we were promoted at age 28, we will work for 34 years. Therefore, t = 34.

Plugging in the values, we get:

\(FV = $80,000 * e^(0.02*34)\)

\(FV = $80,000 * e^(0.68)\)

FV = $80,000 * 1.9745

FV = $157,960

Therefore, the future value of the continuous cash flow from the VP of Marketing job, assuming a 2% continuous interest rate and a 34-year working period, is approximately $157,960.

It is important to note that continuous compounding assumes that interest is compounded an infinite number of times per year, which makes it a more accurate method of calculating future values when interest rates are low. This result indicates the accumulated value of the salary stream over 34 years at the given interest rate, which can be useful for retirement planning purposes.

To know more about future value refer here:

https://brainly.com/question/14860893

#SPJ11

Answer:

$6

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1%/100 = 0.01 per year,

then, solving our equation

I = 300 × 0.01 × 2 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 300.00

at a rate of 1% per year

for 2 years is $ 6.00.

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Learn more about correlations at https://brainly.com/question/5483638

#SPJ1

Answer:

7x for the first one and −5x^8+12 for the second one

Step-by-step explanation:

please mark me brainliest :)

The probability of making a Type I error is equal to 1 - 0.99 = 0.01, which is the same as the significance level.

To answer this question, we need to understand the concepts of statistical power and Type I error. Statistical power refers to the probability of correctly rejecting the null hypothesis when it is false. In other words, it is the ability of a statistical test to detect a true effect.

On the other hand, a Type I error occurs when we reject the null hypothesis even though it is true. This is also known as a false positive.

The investigator has indicated that the power of his test is 0.87 at a significance level of 1%. This means that if there is a true effect in the population, the test has an 87% chance of correctly detecting it. However, we are interested in the probability of making a Type I error, which is the probability of rejecting the null hypothesis when it is true.

To calculate the probability of making a Type I error, we need to use the complement of the significance level, which is 1 - 0.01 = 0.99. This represents the probability of not rejecting the null hypothesis when it is true. Therefore, the probability of making a Type I error is equal to 1 - 0.99 = 0.01, which is the same as the significance level.

In this case, the investigator has used a significance level of 1%, which means that there is a 1% chance of making a Type I error. This is a relatively low probability, which indicates that the investigator is being cautious in rejecting the null hypothesis.

However, it is important to note that the probability of making a Type I error depends on the significance level, the sample size, and the effect size. Therefore, it is important to consider these factors when interpreting the results of a statistical test.

To learn more about Type I error, refer here:

https://brainly.com/question/24320889#

#SPJ11

Answer:

\( \frac{1}{ {5}^{ - 2} } \\ = {5}^{2} \\ = 25 \\ thank \: you\)

Answer: A

Step-by-step explanation:

1^2/5^2

=1/25

Answer:

3

Step-by-step explanation:

Answer:

0° and 90°, it's Ql. If between 90° and 1800 QQ. ... Find a positive and a negative conterminal angle for the given angle.

Step-by-step explanation:

The positive and negative coterminal angles to -32° are:

Positive coterminal angle = 688°

Negative coterminal angle = -392°

Coterminal angles are those whose terminal sides and beginning sides coincide.

The given angle measure is -32°.

The positive coterminal angle is:

-32° + 360°

= 328°

Since the angle is not between 500° and 1000°, add 360° one more times:

328° + 360°

= 688°

The negative co-terminal angle is:

-32° - 360°

= -392°

Hence, the positive and negative coterminal angles to -32° are:

Positive coterminal angle = 688°

Negative coterminal angle = -392°

Learn more about coterminal angles:

https://brainly.com/question/23093580

#SPJ6

Work Shown:

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( -3x^2 ) - ( -5x+3 )

(f - g)(x) = ( -3x^2 ) - ( -5x) - ( 3 )

(f - g)(x) = -3x^2 + 5x - 3

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.

Step-by-step explanation:

y=2 is just y = 0x + 2 so basically m=0 and b=2

The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The line y=2

Now y=2 can be rewritten as y=0.x+2

which can be interpreted as a line with slope=0 or the line is parallel to x-axis and has its y-intercept at y=2

Thus the equation was rewritten in slope intercept form and thus is a linear equation.

Hence, The given line has a slope of 0 and y-intercept form and levi's reasoning is not correct.

Learn more about slope-intercept form here:

https://brainly.com/question/29146348

#SPJ2

i see nothingAnswer:

Step-by-step explanation: