wilma can mow a lawn in 40 minutes. vanessa can mow the same lawn in 120 minutes. how long does it take for both wilma and vanessa to mow the lawn if they are working together?

Answers

Answer 1

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.

1/120 + 1/40 = 1/T

multiply by 40T;

3T = 40

T = 40/3

  = 13 1/3 minutes

  = 13 minutes 20 seconds

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

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Related Questions

Solve using method of elimination (full working out step by step)
-4x + 3y = 31
4x- y = -21

Answers

Answer:

answer in the picture step by step

Which equation can equal 107 for some value of n or x? t(n)= 2n + 7 or f(x) = 2x + 7

Ot(n)
Of(x)
O neither
O both

Answers

For some n or x value, neither equation can equal 107. f(x) = 2x + 7 or

t(n) = 2n + 7.

What is Function Notation?Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x).Notation for Functions When expressing a function as an equation, it is often written as "f(x)." When creating a table of values for an equation, such as y = 5x - 1, we use the rule "multiply by five and subtract one" to transform an input x value into the single resulting y value.Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x)

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y= 3cos 4 0(theta) -1

Answers

The graph of the cosine function y = 3cos(4θ) - 1 is given by the image presented at the end of the answer.

What is a cosine function?

The cosine function is defined by the rule presented as follows:

g(x) = acos(bx+c)+d.

The coefficients have the roles listed as follows:

a is the amplitude of the cosine function.b: The period of the cosine function is of 2π/b.c is the phase shift of the cosine function.d is the vertical shift of the cosine function.

In this problem, the definition of the function is:

y = 3cos(4θ) - 1

Considering the amplitude of 3 and the vertical shift of -1 the function will oscillate between:

-4 and 2.

(Without the vertical shift it would be between -3 and 3).

The period of the function will be as follows:

2π/b = 4

b = 2π/4

b = π/2.

Considering these features, the graph is given at the end of the answer.

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in a hypothesis test, we choose a 5% level of significance. which p-value is statistically significant at this level?

Answers

The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.

The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.

The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:

Level of Significance = p (type I error) =

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Find g(x), where g(x) is the translation 1 unit left of f(x)=9x–8.

Answers

Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is

g (x ) = 9x + 1

What is translation?

Translation refers to a type of transformation that involve a straight line movement.

Movements as seen in translation includes

leftrightupdown

The up and down movements are on the vertical direction controlled by the y coordinate.

The left and right movements are on the horizontal direction controlled by the x coordinate.

When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.

hence we say

f(x) = 9x – 8

g(x) = f(x + 1)

= 9(x+1) – 8

= 9x + 9 - 8

= 9x + 1

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What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)


A. The slope is undefined and the equation of the line is y=12.


B. The slope is zero and the equation of the line is x=3.


C. The dlope is zero and the equation of the line is y=12.


D. The slope is undefined and the equation of the line is x=3.

Answers

Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.

Here,

Since the Y-axis is vertical, a line perpendicular to it would be horizontal..  The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.

If we start with the slope-intercept form of an equation of a line

Y = mX + b,

we can write Y = 0X + (12)

Y =12

Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.

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In a survey of 500 women, 750 answered that they like soccer. What percentage of women answered that they don't even like soccer?

Answers

The percentage of women that answered that they don't even like soccer is 85%

How to calculate the percentage?

From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:

= 500 - 75

= 425

Therefore, the percentage of women that answered that they don't even like soccer will be:

= Those that don't like soccer / Total number × 100

= 425/500 × 100

= 85%

The percentage is 85%.

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Complete question

In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?

PR is a chord of a circle Center 0 and radius 20CM - POR = 120° calculate (a) length of the Chord PR (b) length of are PQR ​

Answers

Answer:

i have the similar question just radius is changed frm 12 to 20 cm..

hopefully this will help u ...^⁠_⁠^

Identify the kind of sequence shown: 2, 7, 14, 23, 34 ... *
O Arithmetic
O Geometric
ONeither

Answers

An Arithmetic sequence is constant so block that out. And geometric is by a fraction. So neither.

Answer:

  (c)  Neither

Step-by-step explanation:

You want to know the kind of sequence that as terms 2, 7, 14, 23, 34, ....

Differences

The first differences of terms of this sequence are ...

  7 -2 = 5

  14 -7 = 7

  23 -14 = 9

  34 -23 = 11

These difference are not constant, so the sequence is not arithmetic.

These differences do not have a common ratio, so the sequence is not geometric.

Second differences

However, these differences do have a common difference:

  7 -5 = 2

  9 -7 = 2

  11 -9 = 2

The fact that second differences are constant means this is a polynomial sequence of second degree. It is a quadratic sequence, neither arithmetic nor geometric.

__

Additional comment

The sequence is described by the quadratic equation ...

  a(n) = n² +2n -1

Helppppppppppppp Thxs ‼️

Answers

Answer:

False

Step-by-step explanation:

If is a real number and m and n are positive integers

there are 8 pink shirts, 6 green shirts, and 4 red shirts in a drawer. suppose you reach in and draw two shirts at random. what is the probability that at least one of the shirts you draw will be pink?

Answers

The probability that at least one of the shirts you draw will be pink 46/51.

What is probability?

The likelihood of an event happening is determined by probability. There are many instances in real life where we may need to make predictions about how something will turn out combination . The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence. By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. The likelihood of an event occurring might range from 0 to 1.

Here the number of pink shirts=8

Number of green shirts=6

Number of red shirts=4

Here if you draw 2 shirts random then,

P(neither the shirt is blue) = [tex]\frac{6}{18} *\frac{5}{17}[/tex] = [tex]\frac{5}{51}[/tex]

Now the at least one of the shirt is pink then,

=> P( at least one shirt is pink)= 1-[tex]\frac{5}{51}[/tex] = [tex]\frac{51-5}{51}[/tex] = [tex]\frac{46}{51}[/tex]

Hence the probability that at least one of the shirts you draw will be pink 46/51.

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Why can the absolute value function be written as a piecewise function?

Answers

It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.

I need what x equals

Answers

Answer: x=143

Step-by-step explanation: the ratio is 1:13 so 11*13=143

Answer: Don't take my word wait until someone else says something.

Step-by-step explanation: i think it is 134 or around that.

1. Which of the following equations exemplifies the Additive Identity Property?
A) 1+(7+8)=(1+7)+8
B) 8+1=1+8
C) 33+0=33
D) 14+3=7+10

2. Which of the following equations exemplifies the Multiplicative Identity Property?
A) 9.5x1=9.5
B) 3x10=2x15
C) 3x0=0x3
D) 9(5x6)=(9x5)6

i got A for 2. but im confused on the first

Answers

1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

What is the Additive Identity Property?

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

What is the Multiplicative Identity Property?

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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the measure of the middle ordinate of a yaw mark is 6 ft. the radius of the arc is 70 ft. what was the length of the chord used in this situation? round the answer to the nearest tenth of a foot.

Answers

The length of the chord used in this situation is approximately 40.54 ft.

To find the length of the chord used in the situation, we can use the formula for the chord length in a circular arc:

Chord length = 2√(r² - (r - h)²)

where r is the radius of the arc and h is the measure of the middle ordinate.

Given that the radius of the arc is 70 ft and the measure of the middle ordinate is 6 ft, we can substitute these values into the formula:

Chord length = 2√(70² - (70 - 6)²)

Chord length = 2√(4900 - 4489)

Chord length = 2√(411)

Chord length ≈ 2 * 20.27

Chord length ≈ 40.54 ft

Therefore, the length of the chord used in this situation is approximately 40.54 ft.

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PLEASEEE HELPPP
Find ALL missing angles.
will give brainly

Answers

Step-by-step explanation:

E=29

G = 180-29-107= 44

F = 180-29-29 = 122

H = 180-29-29 = 122

S = 180-107 = 73

M = 107

C = 73

D = 107

T = 73

B = 107

N = 73

K = 44

A = 360-44-44-107 = 165

O = 180-44 = 136

P = 44

J= 136

Write an equation of the parabola in vertex form that has a vertex (-3, 7) and passes through (-4, 8).

Answers

y = 4/3 ( x + 3 )² + 7 is equation of the parabola .

In math, what is a parabola?

A right circular cone and a plane perpendicular to one of the cone's elements intersect to form a parabola, also known as an open curve.The shape of Banana is resembling a parabola. A parabola is emerging from the Rainbow. The shape of a parabola is being assumed by parabolic dish antennas. Mirror's concave surface.

The h and k of the above vertex form are the coordinates of the vertex. So our function has the following form

  y = a ( x- h )²  + k

  y = a ( x - ( - 3 ))² + 7

  8 = a ( -4 - ( -3 ) + 7

  8 = a (  6 )

   a = 8/6

    a =  4/3

the a value we can write the final vertex form

  y =  a ( x - ( - 3 ))² + 7

y = 4/3 ( x + 3 )² + 7

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Using subsittuftion, which value of x makes this equation true? z+ ²/² = 1 0z=1/1 0 z=² 10 z=2/20 0 Z=!​

Answers

Answer:

Step-by-step explanation:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

  X + Y = 10

  X + Z = 20

+  Y + Z = 24

----------------

2X + 2Y + 2Z = 54

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

This won't always work when you're solving three equations in three unknowns, but it's a trick that shows up frequently enough on assignments, standardized tests, etc. that it's worth mentioning.

ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.

Answers

Ethical research methods include D. doing your best to select an unbiased sample.

What is research ethics?

In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.

The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.

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a bag contains 14 blue, 6 red, 12 green, and 8 purple marbles. 25 marbles are removed from the bag randomly. how many of the removed marbles were green if the chance of drawing a green marble from the bag is now 3/5?

Answers

The number of green marbles removed from the bag is 3.

We will use the Formula of Probability:

In mathematics, the probability is defined as the ratio between the number of favorable outcomes and the total number of outcomes.

p(A) = n(A) / n(S)

p(A) is the probability of event A.

n(A) is the number of outcomes with respect to A.

n(S) is the total number of possible outcomes.

Given in the Question:

A bag contains 14 blue, 6 red, 12 green, and 8 purple marbles.

So the total number of marbles in the bag = 40

It is given that 25 marble are removed from the bag randomly

thus, the remaining marbles in the bag = 40 - 25 = 15

It is given that the probability of drawing a green marble from the bag after removing 25 marbles is 3/5.

So, for finding the number of green marbles in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of green marbles and p(A) = 3/5 and  n(s) = 15 (after removing)

Thus, the number of green marbles in the bag after removing = 3/5 × 15

So, the number of green marbles left in the bag = 9

then, the green marbles removed from the bag = 12 - 9 = 3.

Therefore, only 3 green marbles are removed from the bag.

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The radius of a circle is 15 inches. What is
the circumference of the circle? Write
your answer using T.

Answers

Answer: 30[tex]\pi \\[/tex] or 94.247

Step-by-step explanation:

Circumference=2[tex]\pi[/tex]r

2·[tex]\pi[/tex]·15=30[tex]\pi[/tex]=94.247

Answer:

94.2in.

Step-by-step explanation:

The formula for circumference is 2radius x π

π≈3.14

So we can say:

30in.x3.14=circumference

30x3.14=94.2

94.2in=circumference

(i.e. I don't know what you mean by using T.)

       

A line passes through the points (–4, –1) and (8, 2). What is its equation in slope-intercept form?

I always get it wrong when I write it out

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +1}{8 +4} \implies \cfrac{ 3 }{ 12 } \implies \cfrac{1 }{ 4 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{1 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y +1 = \cfrac{1 }{ 4 } ( x +4) \\\\\\ y+1=\cfrac{1 }{ 4 }x+1\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 4 }x \end{array}}[/tex]

Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 12% for 6 months. Calculate the simple interest using I = prt.

$69
$90
$420
$1,080
Pls hurry and thank you!

Answers

The simple interest using I = prt if Oliver borrowed $1,500 to purchase a riding lawn mowerat the rate of f 12% for 6 monthsis

How can the simple interestbe calculated?

The concept that will be used is the concpt of simple interest and thei can be calculates using the simple interst formular which is

I = [(prt)/100]

where p = principal =  $1,500

     I = intereste rate

     t=time

Then this can be expressed as

I= (prt)/100

I =  ($1,500* 6/12 * 12 )/100

=  $90

In conclusion the simple interest is now  $90 which is the second option that is given.

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can someone help me really quick

Answers

Answer:

100 meters every minute

Step-by-step explanation:

d=100(1)

d=100

Hopes this helps please mark brainliest

Find the distance between
(4, 8) and (-2, 2).

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

Using the distance formula,

[tex]\sqrt{(4-(-2))^2+(8-2)^2} \\ \\ =\sqrt{6^2+6^2} \\ \\ =6\sqrt{2}[/tex]

Answer:

6(sqrt(2))

Step-by-step explanation:

Use the "distance formula" (sqrt((x2-x1)^2 - (y2-y1)^2)), plugging in (4,8) for x1 and y1, and (-2,2) for x2 and y 2

Simplify each expression. select the correct answer from the dropâ€""down menu. −6(3i)(−2i) = 2(3 − i)(−2 4i) = 2i(4 − 5i) =

Answers

By simplifying each expression:

−6(3i) (−2i) = -36

2(3 − i)(−2 + 4i) = -4+28i

2i(4 − 5i) = 10+8i

Simplifying each expression step by step:

1. −6(3i)(−2i) =  -6 (-6i²)

= 36 (-1)

= -36

2. 2(3 − i)(−2 + 4i)

= 2 x (-6+12i+2i-4i²)

= -12 +24i +4i - 8i²

= -12 - 8i² +28i

=-12 - 8 (-1) + 28i

= -4+28i

3. 2i(4 − 5i)

= 8i - 10i²

= 8i -10(-1)

= 10+8i

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People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the number of people travelling by bus to the number of people travelling by train was 20:17 calculate the number of people who travelled by train from the station on tuesday

Answers

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

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In triangle ABC, m∠B = (4x − 15)° and the measure of the exterior angle to ∠B is (14x − 21)°. Find m∠B.

12°
32°
33°
36°

Answers

Applying the definition of exterior angle, the measure of angle B is: c. 33°

What is the Exterior Angle of a Triangle?

When a side of a triangle is extended through an interior angle, the angle formed is called the exterior angle of a triangle.

The angle to the exterior angle of the triangle, when added to the exterior angle will have a sum of 180 degrees, which means their supplementary angles.

Therefore:

4x - 15 + 14x - 21 = 180

4x + 14x - 15 - 21 = 180

18x - 36 = 180

18x = 180 + 36

18x = 216

18x/18 = 216/18

x = 12

m∠B = 4x - 15 = 4(12) - 15 = 33°

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Answer:

its B. 33

Step-by-step explanation:

what is the gcf of 70x^3z and 45y^4z^2

Answers

The GCF of the expressions given as 70x³z and 45y⁴z² is 5z

How to determine the GCF of the expressions?

From the question, we have the following expressions

70x^3z and 45y^4z^2

Rewrite the given expression as follows

This is represented using

70x³z and 45y⁴z²

Factor out z from the expression

So, we have the following representation

70x³ and 45y⁴z => Factored z

Factor out 5 from the expression

So, we have the following representation

14x³ and 9y⁴z => Factored 5z

So, we have

Factored = 5z

This represents the GCF

Hence, the GCF is 5z

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Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7

Answers

The equation that represents a line which is parallel to the y - axis would be B. x = −8.

Which lines are parallel to the y - axis?

When a line is parallel to the y - axis, this means that the line does not cross the y - axis in any way and is both vertical and straight because the y - axis is vertical and straight.

Any line that is parallel to the y - axis will need to be expressed in terms of terms of x because the y axis is expressed in terms of x as x = 0. From the options, the only equation expressed in terms of x is x  = -8. This line is therefore parallel to the y - axis.

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Put these numbers in order from greatest to least.-24/400.566 6/1566.2-0.4 Please help A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C = 1,780 + 7x,and the total revenue R (in dollars) is R = 14x.Find the profit (in dollars) obtained by selling 275 T-shirts per day. 1) what principle is illustrated by state constitutions existing and protecting certain rights, while the federal government has a separate constitution and rights? Determine the value of x below. (only type the numerical value, do not include the degree sign) Geometry pls help me Sandra Williams bought a home with a 10.25% adjustable rate mortgage for 25 years. She paid $9.27 monthly per thousand on her original loan. At the end of 3 years she owes the bank $50,000. Since then, interest rates have increased to 12.75%. The bank will renew the mortgage at this rate, or Sandra can pay the bank $50,000. She decides to renew and will now pay $11.10 monthly per thousand on her loan. (You can ignore the small amount of principal paid during the 3 years.)The old monthly payment is $ .The new monthly payment is $ .The percent increase in her monthly payment (to the nearest tenth) is %. Show that tan15=23 pre-lab form dynamic track collisions: conservation of linear momentum 1. what is an elastic collision? 2. what is an inelastic collision? which of the following is a example of facilitated diffusion?A. plants bringing nutrients into their roots from the soilB. the sodium-potassium pump actively bringing sodium and potassium into the cellC. protein channels embedded in the cell membrane helping large molecules enter the cellD. liquid molecules colliding what is the restricted domain on the tangent function that allows us to build the arctangent (inverse tangent) function? xwhich reporting framework represents global standards for corporate sustainability reporting based on multiple modules that a company can choose from based on what is material for the organization? how did egypt influence culture in kush Listed are 29 ages for Academy Award winning best actors in order from smallest to largest.18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57;58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 * *Calculate the 20th percentile and the 55th percentile. helpIf T=5n+2, which term will have a value of 52? What are the possible points of view in for a television script? infants born between 34 0/7 and 36 6/7 weeks of gestation are called late-preterm infantsbecause they have many needs similar to those of preterm infants. because they are more stable than early-preterm infants, they may receive care that is much like that of a full-term baby. the mother-baby or nursery nurse knows that these babies are at increased risk for (select all that apply): Question 2 (1 point)Which of the following activities uses the most power?O aObO cOdstomach crunchessquare dancingjumping jackshockey a new shopping mall is gaining in popularity. every day since it opened, the number of shoppers is 5% more than the number of shoppers the day before. about how many total shoppers would be expected after 10 days, if there were 100 shoppers on the first day? Who were the two opponents fighting each other in the French and Indian War? A:A. Great Britain against FranceB:B. France against SpainC:C. Great Britain against the American colonistsD:D. France against the American Indians The real interest rate is 6 percent a year and the income tax rate is 50 percent. With no inflation, what is the real after-tax interest rate?If the inflation rate rises to 4 percent a year, what is the real after-tax interest rate?