Look at the picture and answer the four questions

Look At The Picture And Answer The Four Questions

Answers

Answer 1

Answer:1=translation, 2= translation, 3=rotation, 4= reflection

Step-by-step explanation:


Related Questions

An expression that is equivalent to 3(n+2)

Answers

Answer:

3n+6 May i pls have the crown

Step-by-step explanation:

If you use the PEMDAS rule

3 * n= 3n

and 3*2= 6

PLEASE HELP! It would be greatly appreciated
Mrs.Galicia bakes and then sells cookies and brownies from her bakery. Her revenue for each baked good (in dollars) is modeled by the equations, where x is the number of days since the bake goods started to sell.

Brownies: () = 2^2 + 8 − 4
Cookies: () = 2 + 4

(a) Solve the system algebraically. After how many days is the revenue for each item the same? Show
your work and explain your answer.
(b) Graph this system to show both solutions. Label each axis appropriately.

Answers

a) The revenues for both items will be the same after 1 day.

b) The graph with the solution is given by the image at the end of the answer.

How to obtain the number of days for which the revenues will be the same?

The functions defining the revenues for the selling of x brownies and of x cookies are presented as follows:

Brownies: B(x) = 2x² + 8x - 4.Cookies: C(x) = 2x + 4.

The revenues will be the same after x days, for which:

B(x) = C(x).

Hence:

2x² + 8x - 4 = 2x + 4

2x² + 6x - 8 = 0.

x² + 3x - 4 = 0.

The quadratic function can be factored as follows:

(x + 4)(x - 1) = 0.

Applying the Factor Theorem, the solutions are given as follows:

x + 4 = 0 -> x = -4, which is an extraneous solution, as the number of days cannot be negative.x - 1 = 0 -> x = 1, which is the number of days when the revenues are the same.

The graph shows the intersection of the two curves, B(x) and C(x).

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True or False: 3.6 ft = 3 ft 6 in A. True B. False

Answers

Answer:

FALSE

Step-by-step explanation:

3.6ft is 43.2

3ft 6in is 42 in

-7+2i/3-6i It’s operations with complex numbers is how to solve it. The answer is not -11-4/15 ok I need another answer

Answers

..........................................

[tex]\displaystyle\\Answer: \frac{-11-12i}{15}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\frac{-7+2i}{3-6i}=\\\\\frac{(-7+2i)(3+6i)}{(3-6i)(3+6i)}=\\\\ \frac{-21-42i+6i+12i^2}{3^2-(6i)^2} =\\\\\frac{-21-36i-12}{9+36}=\\\\\frac{-33-36i}{45} =\\\\\frac{3(-11-12i)}{3(15)} =\\\\\frac{-11-12i}{15}[/tex]

find the volume of this prism

Answers

The volume of the prism with area 41 cm^2 and height 11 cm is 451 cm^3

How to solve for the volume of the prism

Volume refers to three dimensional solid. The three dimensions include some elements which are

heightlength width

While area is 2 dimensional which is solved by length * width

In the figure the area is already solved to be 41 cm^2 and height is given to be 11 cm

The volume of the solid is given

= length * width * height

= area * height

= 41 * 11

= 451 cm^3

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r-3s + t=4
3r-6s+9t=5
4r-9s +10t=9

Find solution using substitution/ elimination

Answers

For the given equation the solution would be

                          [tex]r=-7t-3,\:s=\frac{-6t-7}{3}[/tex]

What is the system of linear equations in three variables?

Three-variable equation systems are only slightly more difficult to solve than two-variable equation systems. Substitution and the use of 3x3 matrices are the two most straightforward methods for solving these types of equations.

The given equations are

                  r - 3s + t = 4 ------------(I)

                  3r - 6s +9t = 5 ---------(II)

                  4r - 9s + 10t = 9--------(III)

from equation (I), we get

                  r = 4 + 3s - t ------------(IV)

Now put the value of 'r' in equations (II) and (III), and we get

               3(4 + 3s - t) - 6s + 9t = 5

               4(4 + 3s - t) - 9s + 10t = 9

Solving the above equations, we get

             3s + 6t + 12 = 5 --------(V)

             3s + 6t + 16 = 9 --------(VI)

 Now isolate the value of 's' from equation (IV), we get

              3s = - 6t + 5 -12

             [tex]s=\frac{-6t-7}{3}[/tex]

Now put the value of 's' in equation (IV), and we get

           [tex]r=4 +3s -t\\r=4+3\cdot(\frac{-6t-7}{3}) -t\\ r=4-6t-7-t\\r=-7t-3[/tex]

Hence, For the given equation the solution would be

                   [tex]r=-7t-3,\:s=\frac{-6t-7}{3}[/tex]

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A total of 25 trials of the simulation were performed. The number of makes in each set of 10 simulated shots was recorded on the dotplot. What is the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts?.

Answers

The approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

Given,

Number of trials of the simulation were performed = 25

Number of set of simulated shots = 10

We have to find the approximate probability that a 47% shooter makes  5 or more shots in 10 attempts;

The dots in the 5 shot mark is 9, 6 shot mark is 2, and 7 shot mark is 1.

Now the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts can be calculated below:

P(x5) = (dots in 5 short mark + dots in 6 shot mark + dots in 7 short mark) / 25

= (9 + 2 + 1) / 25

 = 12 / 25

Therefore, the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

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The perimeter of a triangle is 6p + 2q - 5 units. One side length is p - 3 units. The second side length is 2p + 3q units. Which expression represents the length, in units, of the third side of the triangle?

Answers

Answer: 3p-q-2

Step-by-step explanation:

Perimeter is the sum of all the sides.

Add the known sides together:

(p-3) + (2p+3q) = 3p + 3q - 3

To find the unknown side, subtract the sum of the 2 known sides from the perimeter (combine like terms):

(6p+2q-5) - (3p+3q-3) = 3p-q-2

Add all 3 sides together as a check of your answer!

Help
Me please due tomorrow

Answers

$8 an hour for #1

And I think it’s b for #2
C for 1 and D for 2

Type an equation of a line that is parallel to the equation y = 5.

Answers

The equation is y = -3

Since, the line parallel to the line y=5, its slope is zero.

so, the equation has the form

y = constant

it passes through (-2,-3), the equation is

y = -3

Slope of a Line :

In mathematics, a line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

The net change in the y-coordinate and the net change in the x-coordinate are denoted by the letters Y and X, respectively.

Since the slope of a line is denoted by "m," the formula for the change in y-coordinate with respect to the change in x-coordinate is m = change in y/change in x = y/x.

The slope, intercept, and y-intercept values on the graph of the equation y = mx + c are all equal to m. M and C are real integer values in the slope-intercept version of the linear equation.

Complete question:

find an equation of the line parallel to the line y=5 and passing through -2,-3

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The dimensions of a rectangular garden
were 5 m by 12 m. Each dimension
was increased by the same amount.
The garden then had an area of 120 m².
Find the dimensions of the new garden.

Answers

The answer would be 15m and 8m.

Both dimensions were increased by 3m.

a mason builds two patios with the same area. one is a square and the other is a rectangle 10 m longer than the square but 8 m less wide than the square. what is the area of each patio?

Answers

The area of each of the patios is 1600 m².

The mason builds two patios with the same area. One of the patios is square, and the other is rectangular. The rectangular patio is 10 m longer but 8 m less wide than the square patio. We need to find the area of each patio.

Let the side length of the square patio be denoted by the variable "x". The area of the square can be calculated as follows.

A1 = x²

The length and breadth of the rectangular patio is "x + 10" and "x - 8", respectively. The area of the rectangular patio is calculated below.

A2 = (x + 10)*(x - 8)

A2 = x² + 2x - 80

We know that the areas of both patios are equal.

A1 = A2

x² = x² + 2x - 80

2x = 80

x = 40

Hence, the area of each patio is A = x² = 40² = 1600 m².

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please help
triangle 1:10 and 8
2: 6
3: 13 and 6
4: 8
x=?

Answers

Answer:

lo siento soy muy malo para las matemáticas y además soy nuevo en este aplicación

Suppose x has a distribution with = 64 and = 8.

Answers

For the given condition the x distribution is normal. Option B is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

n=64

√n=8

μ=8

σ=16

The sample size (n > 30) is enough. Using the Central Limit Theorem

¯X∼N(8,16²/64)

The formulas below give the mean and standard deviation of the mean value of x:

The sampling distribution of x has a mean value of 8.

The following equation gives the sampling distribution's standard deviation:

=σ/√n

=16/√64

=16/8

=2

The sample distribution's standard deviation is 2.

Yes, this distribution can be regarded as normal as it roughly follows the normal distribution (By using CLT)

Thus, for the given condition the x distribution is normal. Option B is correct.

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Brittany can spend no more than $15 for new fish for her aquarium. Let f be the number

of fish she can buy. Each goldfish costs $1.50. Write and solve an inequality to represent the situation. How many fish can Brittany purchase?

Answers

Answer: Brittany can buy 10 fish

Step-by-step explanation:

If you divide 15 by 1.50 you get 10 meaning Britanny can buy 10 fish. Apologies if this is incorrect.

Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per 72 rolls for each shop.
Write which shop is the best value for money in the comment box.

8 for 2.80
9 for 3.24

Answers

The price of 72 rolls of toilet rolls in each shop is:

Lidal - $25.20Oldi - $25.92

The shop with the best value for money is Lidal.

How to find the price?

Lidal sells 8 toilet rolls for $2.80 and so if it was to sell 72 rolls, it would sell at a price of:

= Price per 8 rolls x Number of rolls / Number of rolls in packages

= 2.80 x 72 / 8

= 2. 80 x 9

= $25.20

Oldi sells 9 toilet rolls for $3.24 so the cost of 72 rolls would be:

= 3. 24 x 72 / 9

= 3. 24 x 8

= $25. 92

The shop with the best value for money is the cheaper one which is Lidal.

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This graph appeared in a local newspaper after a recent election.
Roberts Wins by Wide Margin
Do you agree with the message in the graph title? Why or why not?

a.No, the three candidates were only separated by a margin of about 2%.

b.Yes, Roberts had twice as many votes as Johnson and four times as many as Gomez.

c.No, newspapers are always slanted towards the candidate they favor.

d.Yes, the bar for Roberts is a lot taller than the bars for Johnson and Gomez.

Please select the best answer from the choices provided

>>>>>THE ANSWER IS A<<<<<<

Answers

The correct statement regarding the message in the graph title is of:

a. No, the three candidates were only separated by a margin of about 2%.

What is shown on the bar graph?

The bar graph shows the number of votes obtained by each candidate, which are listed as follows:

Candidate Johnson: 940 votes.Candidate Roberts: 980 votes.Candidate Gomez: 920 votes.

These amounts of votes where quite close, however the bar graph has a bad scale, giving the idea that Roberts got about the double number of votes as Johnson and four times as Gomez.

This bad scale is also used to insert the word wide into the text of the article. However, due to the low absolute difference  in the number of votes between these candidates, this work is not correct, and hence, option a is correct.

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Which sequence of transformations would result in an image that is similar and non- congruent to the pre-image?

Answers

Answer:

answer -a dilation followed by a translation

-a dilation followed by a reflection

-a reflection followed by a dilation

-a rotation followed by a dilation

From 2000 to 2010, the number of downloads of a song declined to 18,000. The number of downloads will continue to decline at a rate of 4. 1% each year. How many downloads will there be of the song in the year 2030? round to the nearest whole number.

Answers

the question was already answered but here you go

Based on the rate the number of songs being downloaded is decreasing, in 2030, the number of songs downloaded will be 7,792 songs.

The number of songs downloaded in 2010 is 18,000.

To find the number of downloads in 2030, use the formula:

= Songs in 2010 x ( 1 - Rate of decrease) ^ number of years

Number of years = 2030 - 2010 = 20 years

= 18,000 x (1 - 4.1%)²⁰

= 7,791.92

= 7,792 songs

In conclusion, 7,792 songs will be downloaded in 2030.

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Which equation is the inverse of y = 16x² + 1?

Answers

Answer:f^-1(x)= square root x-1 over 4 and square root -square root over 4

Step-by-step explanation:

interchange the variables and solve for y

Solve the system of equation by the substitution method 3x-2y=-4 y=2x

Answers

Answer: ( 4 , 8 )

Step-by-step explanation:

3x - 2y = -4

y = 2x

Substitute the second equation into the first

3x - 2(2x) = -4
3x - 4x = -4
-1x = -4
x = 4

y = 2(4)
y=8

( 4 , 8 )

Question 1
You buy a basket of 24 strawberries. You eat them as you walk to the beach. It takes the same amount of time to walk each block. When you are halfway there, half of the berries are gone. After walking 3 more blocks, you still have 5 blocks to go. You reach the beach 28 minutes after you began. One-sixth of your strawberries are left.

You walked _
blocks in 28 minutes. At this rate you walk 1 block in
_ minute(s)
_ second(s).

Answers

You walked 16 blocks in a time of 28 minutes. At this rate you walk 1 block in 1 minute 75 seconds.

What is distance?

In Science, distance can be defined as the amount of ground that is covered (travelled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point or ending point.

Mathematically, the distance traveled by a physical object (body) can be calculated by using this formula:

Distance = speed (rate) × time

Note: Let the variable x represent the halfway distance.

Since it takes the same amount of time to walk each block and halfway there, half of the berries are gone. Therefore, we have the following:

At point x, the number of strawberries that is left is equal to 12 strawberries while the distance after walking 3 more blocks, you still have 5 blocks to go would be given by:

1/2 × x = (3 + 5) = 8

1/2 × x = 8

Distance, x = 8 × 2

Distance, x = 16 blocks.

Now, we can determine the rate at which this person walks a block:

Rate (speed) = 28/16

Rate (speed) = 1.75 minutes.

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A softball is larger than a baseball. Its circumference is about 12 inches. The circumference of a baseball is about 9 inches. What is the approximate difference in the diameters of the balls?

Answers

Answer:

0.96 inches

Step-by-step explanation:

The first step is to find the diameter given the circumference. This is the formula for circumference:

[tex]C=\pi d[/tex]

In terms of d, the formula looks like this:

[tex]d=\frac{C}{\pi}[/tex]

For the softball, the diameter is approximately:

[tex]d=\frac{12}{\pi} =3.82[/tex]

For the baseball:

[tex]d=\frac{9}{\pi } =2.86[/tex]

Find the difference:

[tex]3.82-2.86=0.96[/tex]

The approximate difference in diameters is 0.96 inches!

Answer: 0.96 inches

Step-by-step explanation:

Divide -6 2/5 / -4 3/7

Answers

Answer: 224/155

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Convert proper Fractions to improper fractions!

-6 2/5/ -4 3/7=

=-32/5/-31/7

2. Multiply by switching Denominator and Numerator of the Fraction!

-32/5/-31/7=

-32/5*-7/31=

224/155=

1 69/155

3. Answer:1 69/155

What are the lengths of the major and minor axes of the ellipse?

(x−3)227+(y+4)245=1

Answers

The lengths of the major and minor axis are 4√6 and 4√3.

What is Major and Minor Axis?

A point on a curve is described by an ellipse if its location is such that the sum of the distances between its two focal points is a constant.

(x−h)²/ b² +(y- k)² /a² = 1

Given:

(x−3)²/ 27+(y+4)² /45=1

The above equation can be compared to the standard equation of an ellipse

(x−h)²/ b² +(y- k)² /a² = 1

where, (h, k) = coordinates of the center of the ellipse

a =  length of the semi major axis

b = length of the semi minor axis

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2 x√6

b = √(12) = 2 x√3

and, length of the major axis = 2a

length of the minor axis = 2b

Thus, The length of the major axis is

2x a = 2 × 2 x √6 = 4√6

and, length of the minor axis is

2•b = 2 × 2√3 = 4√3

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Answer: 6sqrt(5) and 6sqrt(3)

Step-by-step explanation:

I took the test and these were the correct answers.

genetically modified foods: according to a 2016 pew research survey, a majority of the american general public (56%) says that genetically modified (gm) foods are generally unsafe to eat. this month, in a survey of 500 randomly selected american adults, 60% says that gm foods are generally unsafe to eat. we test the hypothesis that the percentage who says that gm foods are generally unsafe to eat is greater than 56% this year. the p -value is 0.084. which of the following interpretations of this p -value is valid?

Answers

"If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60%or more who says that GM foods are generally unsafe to eat" is valid interpretations of this p-valid.

Given info;

Genetically modified foods: A 2016 Pew Research survey found that 56% of Americans believe that eating genetically modified (GM) food is generally harmful. This month, a survey of 500 randomly chosen American citizens found that 60% believe gm foods are typically dangerous to consume. We examine the possibility that more people than 56% believe that eating GM food is generally unsafe this year. 0.084 is the p-value.

If we assume that 57% of Americans say that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who say that GM foods are generally unsafe to eat” is a good interpretation of the P-value. The P-value is the probability that results will be as or more extreme than those from the latest survey if opinions have not changed since 2014.

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Write an equation of the line passing through point P(-1, 3) that is perpendicular to y = 4x - 7

Answers

The equation of line is y = -1/4x + 11/12.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

line passing through P(-1, 3) that is perpendicular to y = 4x - 7.

Now, the slope of perpendicular line is

slope= -1/ 4

and, the lines passes through (-1, 3)

Thus, using slope- intercept form

y- 3 = m( x + 1)

y- 3 = -1/4 ( x+ 1)

y- 3 = -1/4x - 1/4

y = -1/4x + 11/12

Hence, the equation of line is y = -1/4x + 11/12

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1. Griffin wants to go hiking, but the weather is not cooperating. Right now, there are 2 inches of snow on the ground and snow is falling at a rate of 0.25 in/hr.

(a) Write the linear equation that represents the total amount of snow, y, after x number of hours.



(b) How much snow will be on the ground after 4 hours? You must use your equation above to solve, and you must show all of your work.




(c) If Griffin does not want to be hiking when there are 6 inches of snow on the ground, how long does he have to complete his hike? Do you think he will finish his hike in time? You must use your equation above to solve, and you must show all of your work.

Answers

a) The linear equation that represents the total amount of snow, y, after x number of hours is: y = 2 + 0.25x.

b) 3 inches is the amount of snow that is on the ground after four hours.

c) The time until the snow reaches 6 inches is of 16 hours, which is enough to finish the hike, as they usually take at most five hours.

What is a linear function?

The slope-intercept representation of a linear function is shown by the equation as follows:

y = mx + b

In which the parameters m and b of the linear equation are explained as follows:

m is the slope, representing the rate of change of the output relative to the input, in the context of this problem how much snow falls by hour.b is the y-intercept, which is the initial value of the function, that is, how much snow was there initially.

Thus the values of these parameters are given as follows:

m = 0.25, b = 2.

The equation that represents the total amount of snow, y, after x number of hours is:

y = 0.25x + 2.

The numeric value of function after four hours is found replacing the lone instance of x on the function by 4, hence:

y = 0.25(4) + 2 = 3 inches.

To find when the amount will be of six inches, we have to solve for x when y = 6, hence:

2 + 0.25x = 6

0.25x = 4

x/4 = 4

x = 16 hours.

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Brian pays £465. 98 a year on his car insurance. The insurance company reduces the price by 3. 6%. How much does the insurance cost now? give your answer rounded to 2 dp.

Answers

The insurance cost now is £449.204.

Given:

Brian pays £465. 98 a year on his car insurance. The insurance company reduces the price by 3. 6%.

Insurance  = 465.98*3.6%

= 465.98*3.6/100

= 465.98*36/10*100

= 46598/100 * 36/1000

= 46598*36 / 100000

= 1677528/100000

= 16.77528

Insurance cost now = 465.98 - 16.77528

= £449.20472

Therefore the insurance cost now is £449.204.

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for the first 11 months of this year , Dan's sales averaged 24,870 a month. What must be Dan's sales for the next month if he wants his monthly average for the year to be 25,000

Answers

Dan's sales for the next month if he wants his monthly average for the year to be 25,000 is 36430.

How to calculate the value?

Since for the first 11 months of this year , Dan's sales averaged 24,870 a month. The total amount will be:

= 11 × 24870

= 273570

Since Dan's sales for the next month if he wants his monthly average for the year to be 25,000, the amount will be:

= 12 × 25000

= 300000

Therefore, the amount for the next month will be:

= 300000 - 273570

= 26430

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HELP PLS Which expression shows a way to find 30% of 10 how did the practice of simony affect the church? group of answer choices it permitted the church to raise large sums of money on church lands without having to pay royal taxes, thus creating conflicts between kings and the papacy. it resulted in a clergy who sometimes obtained church positions for political or economic reasons with little concern for their religious obligations. it created independent church courts that made church officials feel invulnerable in their conflicts with secular rulers. it permitted church officials to adapt doctrine to different localities based on local cultural traditions, thus expanding the range of spiritual expression allowed by the church. what technique could be used to determine the amount of calories a person expends each day? multiple select question. estimate of food intake from the various food groups direct calorimetry indirect calorimetry equations taking into account height, weight, physical activity, and age farmer determined the equation "y = "-7/3x" + 72.75" best fits this data when comparing the weight, y, in grams, of strawberries to the average daily mean temperature, x, in F, each season. Which statement best describes the rate of change of the equation? Andrew took the midterm exam a second time this week. Andrew earned a score of 72% last week, and calculated the absolute change in the scores to be an increase of 23 percentage points. Calculate Andrews score on the midterm this week. Your job is to order and connect lead-acid cells used to supply an uninterruptible power supply (UPS). The battery output voltage must be 126 V and have a current capacity of not less than 250 A-hr. Each cell has a rating of 2 V and 100 A-hr. How many cells must be ordered and how would you connect them? What are 10 facts about anasazi? a bowl of rice cools is that conduction convection or radiation? A student is the pitcher on a baseball team. They pitch the ball toward home plate. It begins in a straight line and then curves toward the ground. What forces are acting on the ball?a. inertia and nuclear b. magnetism and inertia c. friction and gravity d. friction and electricity according to 2015 census data, 42.7 percent of colorado residents were born in colorado. if a sample of 250 colorado residents is selected at random, what is the standard deviation of the number of residents in the sample who were born in colorado? the titrations being done in this experiment are acid/base titrations. either an acid is serving as a titrant and the analyte is a base or the base is serving as a titrant and the analyte is an acid. because the analyte is a buffer (a mixture of a weak acid or base and its conjugate) the reaction with the titrant might be difficult to identify. when the acetic acid / sodium acetate buffer is titrated with naoh, what is the chemical reaction with the titrant? [ select ] ch3cooh -oh ch3coo- h2o ch3cooh -oh ch3coo- h2o ch3cooh ch3coo- ch3coo- ch3cooh ch3coo- h3o ch3cooh h2o ch3coo- na ch3coo-na when the ammonia / ammonium chloride buffer is titrated with hcl, what is the chemical with the titrant? [ select ] nh3 h2o nh4 -oh nh4 -oh nh3 h2o nh4 -oh nh4oh nh3 h3o nh4 h2o nh3 -oh no reaction an important news announcement is transmitted by radio waves to people sitting next to their radios 11 km from the station and by sound waves to people sitting across the newsroom 5.84 m from the newscaster. taking the speed of sound in air to be 343 m/s, who receives the news first? . What is the mass of 4.75 mL of aluminum if its density is 2.1 g/mL? suppose a project with a negative net present value would provide intangible benefits. to estimate the annual value of intangible benefits needed to accept the project, blank the negative net present value excluding intangible benefits by the blank . multiple choice question. divide, present value of $1 factor multiply, present value of $1 factor divide, present value factor for an annuity multiply, present value factor for an annuity If I add 5 times a number to 6, I get 80................................