tinggi air dalam bak 6dm. jika meri ingin mengisi bak hingga penuh dengan gayung yang memiliki volume 32dm³,maka berapa kali meri harus menuang gayung tersebut?​

Answers

Answer 1

Answer:

I just want points

im English I have no idea what ur asking bro


Related Questions

Nine times a number is 30 more than three times that number. Find the number

Answers

Answer:

From this question, we can write

Let n be the number.

9n=3n+30

6n=30

n=5

We find that the number is 30.

Hi there!

it would be 10.. if your asking for what multiply by 9 and 3 more than the number.

1.Find common multiply:

\(9,18,27,36,45,54,63,72,81,90,99\)

\(30,60,90,120\)

2.Find what nine can multiply to and 30 can also:

\(=90\)

3.Divide two terms:

\(90*9=10\)

This means, the number would be 10.

Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Which pairs of angles in the figure below are vertical angles?Check all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

Vertical angles are angles that are opposite of each other on two crossing lines.

They have equal angle measure.

When we look at the image, we can tell that, from the given options:

A. <LRA and <FRA and

B. <TRF and <NRL are vertical angles.

Consider the expression 4x^2+x+34x 2 +x+34, x, squared, plus, x, plus, 3. Complete 222 descriptions of the parts of the expression.

Answers

\(72x^{2}+3x+3\)Answer:

Step-by-step explanation:

\(1. (4x^{2}+34x^{2} +34x^{2} )+(x+x+x)+3\\ 2. 72x^{2} +3x+3\)

What are three other ways to name? You may type or qx​

Answers

A line can be named either using two points on the line (for example, ↔AB ) or simply by a letter, usually lowercase (for example, line m ). A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

Due to normality, the formula for computing z is the same for a single data value, as it is
for an average of the data values for a sample group.

True or false ?

Answers

Using the Central Limit Theorem, the statement is false, as for the averages of  the data values for a sample group, the standard error is \(s = \frac{\sigma}{\sqrt{n}}\), hence, the formula is:

\(Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

While for a single value, it is:

\(Z = \frac{X - \mu}{\sigma}\)

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

Hence, the formulas are different, and for an average of the data values for a sample group it is:

\(Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

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HELP PLEASE DUE IN 10 MIN

HELP PLEASE DUE IN 10 MIN

Answers

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

How to obtain the interquartile range?

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

First quartile: 0.25 x 18 = 4.5th element = median of 10 and 15 = 12.5.Third quartile: 0.75 x 18 = 13.5th element = median of 20 and 25 = 22.5.

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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Select the equivalent expression (7^2 x 5^6)^4

Select the equivalent expression (7^2 x 5^6)^4

Answers

Answer:

x (12 y + 4)

good luck

In need of help!! Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.

In need of help!! Determine if the equation given in slope-intercept form represents the graph. If the

Answers

The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.

What does a line's slope-intercept form look like?

A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.

y = (3/2)x + 1 is the given equation for the line.

Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.

Take note that the line's graph's y-intercept is also 1.

The line's graph includes points (2,4).

Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:

4 = (3/2)(2) + 1

4 =4

The equation is accurate.

Consequently, it can be claimed that the following equation reflects the graph.

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Please answer this question.

Please answer this question.

Answers

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Which net matches the figure?

___________________________________

(Reporting any spams/wrong answers)

(giving brainliest to the correct answer)

____________________________________

Which net matches the figure?___________________________________(Reporting any spams/wrong answers)(giving

Answers

Answer:

Figure D.

Step-by-step explanation:

The given Figure is a cube , which is a three-dimensional shape that has six square faces, twelve edges, and eight vertices. All of its faces are congruent and perpendicular to each other.

Figure D will turn into Square box when it is folded. Rest all are either Cuboid or Irregular Shaped objects when folded.

100 divided by 72,144

Answers

Answer:0.00138611665

Step-by-step explanation:

Order these numbers from least to greatest.
7.773, 157/20, 7.77, 7 9/11

Answers

Answer:

7.77, 7.773, 7 9/11, 157/20

Step-by-step explanation:

First, convert any fractions to decimals to make it a bit easier to order.

7.773, 157/20, 7.77, 7 9/11

157/20 = 7.857 9/11 => 86/11 => 7.82

Now we have:

7.773, 7.85, 7.77, 7.82

Order from least to greatest:

7.77, 7.773, 7.82, 7.85

Rewrite using the original numbers in the question:

7.77, 7.773, 7 9/11, 157/20

Hope this helps!

can you guys explain me how to do long division​

Answers

Step 1: Take the first digit of the dividend. ...

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next number (if present).

Step 5: Repeat the same process.



An animal shelter houses ferrets, rabbits, and dogs. There are 160 animals at the shelter. Of the animals,1/5 are ferry’s . 7/8 of the remaining animals are rabbits

How many of the animals are dogs? Show your work.

Answers

Answer:

There are 32 ferrets, 112 rabbits and 16 dogs at the shelter.

Step-by-step explanation:

There are 160 animals at the shelter. You know that of this amount of animals,\(\frac{1}{5}\) are ferrets. So, the number of ferrets can be calculated by:

\(\frac{1}{5}*160\)

To multiply a fraction by a whole number, any integer n can be written as the fraction \(\frac{n}{1}\). Then you multiply the numerators and denominators. In this case:

\(\frac{1}{5}*160=\frac{1}{5}*\frac{160}{1} =\frac{1*160}{5*1} =\frac{160}{5}\)

Now you must reduce to the simplest form. To get a simplified result, divide the numerator by the denominator. In this case:

\(\frac{160}{5}\) = 160 ÷ 5= 32

So, there are 32 ferrets at the shelter. Then, the number of animals remaining is calculated by the difference:

160 animals - 32 ferrets= 128 animals

\(\frac{7}{8}\) of the remaining animals are rabbits. Then:

\(\frac{7}{8}*128\)

Solving in the same way as in the previous case:

\(\frac{7}{8}*128=\frac{7}{8}*\frac{128}{1} =\frac{7*128}{8*1} =\frac{896}{8}\)

\(\frac{896}{8}\)= 896 ÷8= 112

So, there are 112 rabbits at the shelter.  Then the remaining animals will be dogs, which will be calculated by the difference:

128 animals - 112 rabbits= 16

Finally, there are 16 dogs at the shelter.

Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices

2.5 miles per hour

2 miles per hour

1 mile per hour

1.5 miles per hour

Answers

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.

Answers

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.

(someone please help me!)

Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two

Answers

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit down

What is a rigid transformation?

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.

Transformation from A' to A''

The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axis

Transformation from A'' to A'''

The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.

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2x-3(2x-3)+2=45 pls solve fully

Answers

Answer:

Step-by-step explanation:

2x*2x=4x^2

2x*3=6x

Keep in mind 4x^2-6x

then next part:

3*2x=6x

3*3=9

6x-9

So totally

(4x^2-6x)-(6x-9)

Minus and minus is equal to +

(4x^2-12x+9)+2=45

4x^2-12x+11=45

-11 on both sides

4x^2-12x=34

X= -17/-2

Step-by-step explanation:

2x-3(2x-3)+2=45

2x-6x+9+2=45

-4x=45-11

x=34/-4=-17/2

(1 point) suppose r is the shaded region in the figure, and f(x,y) is a continuous function on r. find the limits of integration for the following iterated integrals.

Answers

The limits of the given iterated integrals are:

a) (limit from 1 to -4)∫ (limit from -4 to -7/5x-13/5) ∫ f(x,y)dydx

b) (limit from -4 to 1)∫ (limit from -4 to -13-5y/7 ∫ f(x,y)dydx

Given the line passes (1,-4) and (-4,3)

by two point form of a line

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

y + 4 = -7/5 (x-1)

y = -7/5x - 13/5

x from -4 to 1

y from -4 to -7/5x - 13/5

a) ∫∫Rf(x,y)dA = limit(AtoB)∫(Limit from C to D)∫f(x,y)dydx

                      = (limit from 1 to -4)∫ (limit from -4 to -7/5x-13/5) ∫ f(x,y)dydx

where A = -4, B = 1, C=-4, D = -7/5x-13/5

b) y = -7/5x -13/5 ⇒ x = -13-5y/7

y from -4 to 3

x from -4 to -13-5y/7

∫∫ Rf(x,y)dA = (limit from F to E)∫ (limit from G to H)∫ f(x,y)dxdy

                   = (limit from -4 to 1)∫ (limit from -4 to -13-5y/7 ∫ f(x,y)dydx

where E = -4, F=3, G=-4,H=-13-5y/7

Hence the change of the order of the integration not change the integration value.

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1. IF L = Q AND M= R, FIND THE VAKUE OF X
2. IF L=Q AND M = R. FIND THE VALUE OF X​

1. IF L = Q AND M= R, FIND THE VAKUE OF X2. IF L=Q AND M = R. FIND THE VALUE OF X

Answers

1. The value of x is 9

2. The value of x is 8

How to determine the values

To determine the value of the variables, we need to know the properties of a triangle.

These properties includes;

A triangle is a polygonA triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degrees

Now, from the information given, we have that;

<L = <Q

<M = <R

The side facing <L is 9

The side facing <Q is x

x = 9

2. The side facing <L is 6

The side facing <Q is 12

Then, x = 8

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Using the table of integrals, solve

Using the table of integrals, solve

Answers

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

How do we solve function using table of integral?

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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Solve using linear combinations y+x=-5 y-x=5

Answers

Answer:

The answer is 0

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

Answer:

It should be (-5,0)

Step-by-step explanation:

Solve using linear combinations y+x=-5 y-x=5

kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations

The following information is known for the month of December:

1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.

2. No insurance payments are made in December. Insurance expired in December is $1,400.

3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list

4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.


Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)

no random answers ty!

kindly check if its correct and correct those that are wrong. thank you! as well as calculationsThe following

Answers

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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helpppp...........................

helpppp...........................

Answers

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140


If the r-value, or correlation coefficient, of a data set is , the
coefficient of determination is positive.

A. True
B. False

Answers

Answer:

The answer is True.

Step-by-step explanation:

The end answer is a postive one it is not a negative number.

True because the end is a positive

Which of the following is not a real number?

Which of the following is not a real number?

Answers

Answer:

im pretty sure its the -3 one

Step-by-step explanation:

Answer:

The answer is A, Square root of -3 is not a real number.

Step-by-step explanation: You can take the square root of positive numbers, so we can eliminate choices C and D. We can take the square root of 0, which would equal 0, so B is incorrect. However, We cannot take the square root of negative numbers, so choice A is the answer for this question.

ASAP ! The the area of a rhombus is 135 cm". The length of one diagonal is 15cm.
What is the length of the other diagonal
25 cm
O
12 cm
o
18 cm
20 cm

Answers

The answer is 18 do you need work?

Given the following formula, solve for v.s = 1/2a2v + cs + cA. v = -------2a22(s - c)B. v = --------a2s -- cC. v = --------2a22( s + c)D. v = ----------a2

Answers

Given data:

The given expression is s=1/2 a^(2)v +c.

The given expression can be written as,

\(\begin{gathered} s=\frac{1}{2}a^2v+c \\ \frac{1}{2}a^2v=s-c \\ v=\frac{2(s-c)}{a^2} \end{gathered}\)

Thus, the option (A) is correct.

What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8

Answers

The mean absolute deviation is 0.75

How to determine the mean absolute deviation

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Let X and Y be the following sets:
X = {}
Y = {2,3, 5, 7, 11, 13}
Which of the following is the set X Y?

Answers

Answer: the answer is B

Step-by-step explanation:

Let X and Y be the following sets:X = {}Y = {2,3, 5, 7, 11, 13}Which of the following is the set X Y?
Other Questions
Which ordered pair is a solution to the equation 3x + 9y = 27 ?Question options:(6, 1) (1, 8) (1, 11) (8, 1) Helpp!the key to understanding how dna works is A- to understand that each base only connects to another specific base.B- to understand more about the sugar in each nucleotide.C- to understand that it looks like a twisted ladder that spirals around.D- to understand the role of the phosphate in each nucleotide. Heating systems transfer thermal energy to rooms by conduction and _______. What is the purpose of the book of Proverbs? ABCD is quadrilateral. work out the length of cd Part AWhich claim does the author make in the Newsela article "Opinion: It's Important for Kids to See Diverse TV, Movie Characters"?Media maintains stereotypes because it has proven to be financially successful. Children have extensive background knowledge they draw on to form stereotypes.Characters with non-American accents are more appealing to audiences. Researchers must understand why stereotyping exists before adjustments can be made to media.Question 2Part BRead this passage from the article.However, it seems that economic pressures compel the creators of children's animated programming to rely on stereotyping as a kind of shorthand. For example, one director of a popular children's animated show told us, "If something's worked before, you tend to just use it again." It gets used even if that "something" is stereotyped.Does this passage provide evidence that effectively supports the claim identified in Part A?No, because it ignores stereotyping that still exists in diverse media. No, because it only focuses on stereotypes in media geared for children.Yes, because it describes how animators are willing to learn new skills to create more diverse characters.Yes, because it explains why producers of successful children's programs depend on stereotyping. The inverted T-beam 28IT20 shown below is typically used in precast concrete systems. It uses a strand template in the bottom of 36 strands, with 12 strands placed in 3 rows at 2-in. c-to-c. Only strands in the center region can be harped, but the engineer has chosen to debond some strands instead of harping. Use the following information to answer the questions below.Zone 1 = 5-ft long; 6 strands bonded in the bottom row (2-in. above bottom of beam).Zone 2 = 5-ft long, starting at x=5 ft to x=10-ft; 10 strands bonded (8 strands bonded at 2-in. and 2 strands bonded at 4-in. above bottom).Zone 3 = remaining length of beam, starting at x=10-ft; 14 strands bonded (8 strands bonded at 2-in. and 6 strands bonded at 4-in. above bottom).Strands: -in Gr. 270fps = 215 ksic = 150 pcffc = 5000 ps 1: What is the length of PL?2: What is the length of GL?3: What is the length of HJ? Control rods are used to slow down the reaction in the reactor core when the core becomes too hot. Please select the best answer from the choices provided T F. What is -1/2(-2x+4y) ????? HELP ME PLEASE!!!! Nina is reselling t-shirt and pants, to avail a discount she to order at least 30 t-shirts. If the discounted price of t-shirt is Php 150.00 and the price of pant Php 600.00, at least how many parts she can buy with Php8.000.00? a. At least 5 b. at least 6 c. at least 8 d. at least 10 Opening of stomata involves a tradeoff between the conflicting needs to:_________ what is the ph of a buffer solution that contains 1.05 m of a base and 1.10 m of the acid, for which the ka of the acid is 1.5 x 10-5? Which is correct?The man, whose name was Bob, left the store quickly.Whose this man named Bob? What environmental consequence of agriculture can be seen in the photograph above of the Prairie Pothole region in the northern Great Plains area of North America Past simple and past continuous1.Write questions with the past simple.1. When / you / buy / that tablet / ?__________________________2. How much / your new computer / cost / ?________________________________3. What / you / do / after school yesterday / ?________________________________4. Why / you / not / call me last night / ?________________________________5. Where / Dad / save / the photos / on the computer / ?________________________________6. Which files / you / delete / ?7. How many copies / Gary / print / yesterday / ?8. Which company / Steve Jobs / help to start / ?________________________________2.Write the -ing form of the verbs1. attach _______2. tie _______3. run _______4. save _______5. give _______6. get _______7. delete _______8. change _______9. upload ________10. think _______11. win _______12. spot _______13. serve _______14. realise _______ What is a 3 word phrase with the letters airthutnlusrhngama that tells what the bill of rights protects? What may interfere with an emt's ability to care for a patient at a crime scene? Shiro and Tatiana weighed some pebbles inscience class. They made a line plot to displaytheir data. Use the line plot to answer in the tell-tale heart why did the narrator kill the old man