please help for this question ​

Please Help For This Question

Answers

Answer 1

The dilation of the object is given by the coordinates:

(-6,-8)
(-2, 0)
(-2, -8)

How did we do this?

A dilation is a function f from a metric space M into itself that fulfills the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real integer.

For the first dilation

Original points are

(2,1)

(4,5)

(4,1)

Multiply by scale factor

(2,1) x 2 = (4,2)

(4,5) x 2 = (8, 10)

(4,1) x 2 = (8, 2)

This given us the coordinates of triangle B).

For the second dilation

(2,1)  

(4,5)

(4,1)
Adjust for the center of dilation which is (5,5)

(2,1)  less (5,5) = (-3, -4)

(4,5) less (5,5) = (-1, 0)

(4,1) less (5,5) =(-1, -4)

Multiply the New original point by scale factor

(-3, -4) x 2 = (-6,-8)
(-1, 0) x 2 = (-2, 0)

(-1, -4) x 2 = (-2, -8)


Thus, the new coordinates of the dilated triangle C are:

(-6,-8)
(-2, 0)
(-2, -8).

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Please Help For This Question

Related Questions

Please if you know the answer tel me thank you.

Answers

Answer:

Step-by-step explanation:

(a)  currently the  mode is pink.  Mode means which one occurs the most.

If you take a pink out.  Now P=3  G=3 and Y=3

(a) PINK

(b) Yellow, you want yellow to be the most/mode  so they put a yellow back in

In circle
V
V,
V
W
=
2
VW=2 and the length of

=
2
9
π
WX

=
9
2

π. Find m

W
V
X
∠WVX.

Answers

Answer:

Step-by-step explanation:

In a circle, the measure of an inscribed angle is equal to half the measure of its intercepted arc. In this case, the inscribed angle is ∠WVX and its intercepted arc is ⌢WX.

Since the length of ⌢WX is (9/2)π, its measure in degrees is (9/2)π * (180/π) = 810/2 = 405 degrees.

Therefore, the measure of ∠WVX is half the measure of its intercepted arc, which is 405/2 = 202.5 degrees.

Suppose that you are taking a course that has 4 tests. The first three tests are each worth 20% of your final grade, and the fourth test is worth 40% of the final grade. To get a B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 63.5 %, 76 %, and 87 %. What is the minimum score you need on the fourth test to get a B for the course?. Don't round your answer.​

Answers

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

Course grade

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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If I save 300 a week how much will I have at the end of the year?

Answers

15,653 much will I have at the end of the year in linear equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.

Earning $300 a week equals $15,587 a year. This result is obtained by multiplying the base salary by the number of hours, weeks, and months worked in a year, assuming a 40-hour work week. 

15,653 much will I have at the end of the year in.

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cost function definition

Answers

a formula used to predict the cost that will be experienced at a certain activity level.

blank g = blank kg =3/10kg

Answers

It should be noted that 3/10 kg to grams will be 300 grams.

How to convert the value

To convert 3/10 kg to grams (g), we can use the following conversion factor:

1 kg = 1000 g

Therefore:

3/10 kg = (3/10) x 1000 g = 300 g

Hence, 3/10 kg is equal to 300 grams (g).

In conclusion, it should be noted that 3/10 kg to grams will be 300 grams.

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Danielle got 23 out of 25 points on her math test. What percent of questions did she get correct?

Answers

To calculate the percentage of questions Danielle got correct on her math test, we can divide the number of questions she got correct by the total number of questions on the test and then multiply by 100. In this case, Danielle got 23 out of 25 questions correct, so we can calculate her percentage as follows: (23/25) * 100 = 92%. Therefore, Danielle got 92% of the questions correct on her math test.

Percent = amount per 100

23/25 = amount per 25

25 x 4 = 100

23 x 4 = 92

92/100 = 92%

Answer = 92%

Hope this helps!

Solve the radical equation.
√3x-2-√11+x= -1

Answers

Answer:

[tex]x = \frac{(1 + \sqrt{11})( \sqrt{3 } - 1) }{2 } [/tex]

if you have the answer please reply im having trouble need the steps.

Answers

Over a given period of time, Seth sold more water bottles than Hayden.

To compare the number of water bottles sold by Seth and Hayden, we need to find out the equation for Seth's sales rate. Looking at the graph, we can see that Seth sold 10 bottles on day 1, 20 bottles on day 2, 30 bottles on day 3, and 40 bottles on day 4.

We can find the average daily sales rate for Seth by dividing the total bottles sold by the number of days:

Average daily sales rate for Seth = (10+20+30+40)/4 = 25

The equation given for Hayden's sales rate is y = 11x, where y represents the number of bottles sold and x represents the number of days. This equation shows that Hayden sells 11 bottles per day.

Comparing the two sales rates, we can see that Seth sold more water bottles. On average, Seth sold 25 bottles per day, while Hayden sold only 11 bottles per day. Therefore, over a given period of time, Seth sold more water bottles than Hayden.

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The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 11, with tick marks every one unit up to 25. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 20 on the number line. A line in the box is at 19. The lines outside the box end at 12 and 24.

Which of the following is the appropriate measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 3.
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 3.
The median is the best measure of center, and it equals 19.

Answers

An appropriate measure of center for the data, and its value include the following: D. The median is the best measure of center, and it equals 19.

What is a box-and-whisker plot?

In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set, the five-number summary for the given data set include the following:

Minimum (Min) = 12.

First quartile (Q₁) = 17.

Median (Med) = 19.

Third quartile (Q₃) = 20.

Maximum (Max) = 24.

In conclusion, the best measure of center is the median and it is equal to 19.

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14. Jill tossed a coin three times. Draw a tree diagram to represent the sample space.

Answers

Here is a tree diagram to represent the sample space of Jill tossing a coin three times:

      H               T

    /   \           /   \

   H     T         H     T

 /  \   /  \     /  \   /  \

H   T  H   T    H   T  H   T

What is sample space?

The concept of the sample space is fundamental to the calculation of probabilities because it defines the set of all possible outcomes that we are interested in measuring the likelihood of. By specifying the sample space, we can define events (subsets of the sample space) and assign probabilities to those events.

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Apply the United States rule to determine the balance at maturity and the total interest paid if the borrower makes two partial payments and the remainder of the loan is paid at maturity.
Principal $1450
Interest Rate​ % 15.0
Loan Length​ (Days) 280
Partial Payment
$5800.00
$4350.00
Payment on Day​ #
112
196

Answers

Answer: The United States rule is a method for calculating interest and balances on loans that have partial payments during their term. The rule assumes that each partial payment is applied to the interest first, then to the principal. Here's how to use the United States rule to calculate the balance and interest for this loan:

Calculate the daily interest rate by dividing the annual interest rate by 360 (the number of days in a standard year for most loans).

Daily Interest Rate = 15.0% / 360 = 0.04167%

Calculate the interest due for the first partial payment of $5800 made on day 112. Since this payment is larger than the remaining principal, it will pay off the loan entirely and no interest will accrue beyond this date.

Days between start of loan and first payment = 112 daysInterest due on first payment = (1450 x 0.04167% x 112) = $8.10Principal remaining after first payment = $0.00

Calculate the interest due for the second partial payment of $4350 made on day 196.

Days between first payment and second payment = 84 daysInterest due on second payment = (0 x 0.04167% x 84) = $0.00Principal remaining after second payment = $0.00

Calculate the interest due on the remaining principal at maturity (day 280).

Days between second payment and maturity = 84 daysInterest due at maturity = (0 x 0.04167% x 84) = $0.00

Add up the interest due from each period to get the total interest paid over the life of the loan.

Total interest paid = $8.10 + $0.00 + $0.00 = $8.10

Add up the principal amounts from each payment to get the total amount paid.

Total amount paid = $5800.00 + $4350.00 = $10,150.00

Subtract the total amount paid from the original principal to get the balance at maturity.

Balance at maturity = $1450.00 - $10,150.00 = -$8700.00 (which means the lender owes the borrower this amount)

Therefore, the balance at maturity is -$8700.00 (meaning the lender owes the borrower this amount) and the total interest paid over the life of the loan is $8.10.

Help please!!!!
Whoever answers right gets brainliest!

Answers

It be the first one (3,-2)

Need help with these!!

Answers

The decimal used to figure the price of their clothing is 2.1

The improvement in Larry's test score written as a decimal is 1.52

How to write in decimals?

Markup = 210%

= 210/100

= 21/10

= 2.1

Larry's increased test score percentage = 152%

= 152/100

= 1.52

In conclusion, the price of clothing and Larry's test score in decimals is 2.1 and 1.52 respectively.

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Find the sine, cosine, and the tangent of the acute angle A of the triangle. Express each answer as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

sina=12/20=0.6

cosa=16/20=0.8

tana=0.6/0.8=0.75

Point F is at [-10, 12] and point G is at [18, 12]

Answers

The midpoint of the line segment FG is the point (4, 12).

What is midpoint?

In geometry, the midpoint of a line segment is the point that is exactly halfway between the endpoints of the segment. It is the point that divides the segment into two congruent segments.

The formula for finding the midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is:

Midpoint = [(x₁ + x₂)÷2, (y₁ + y₂)÷2]

So, the midpoint of the line segment with endpoints F(-10, 12) and G(18, 12) can be found as:

Midpoint = [(-10 + 18)÷2, (12 + 12)÷2]

= [8÷2, 24÷2]

= [4, 12]

Therefore, the midpoint of the line segment FG is the point (4, 12).

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I can’t figure out what is correct to get about 8

Answers

Step-by-step explanation:

Going down the list :

8.98     rounds to 9

6.64      rounds to 7

7.03     rounds to 7

8.52     rounds to 9

7.59      rounds to 8    

If the first number past the decimal point  >= 5    round the units up

  o/w   leave the units as they are

100 Points! Algebra question. Please show as much work as possible. Thank you!

Answers

The first term a₁ of the geometric series is equal to 121.5

How to evaluate for a₁ of the geometric series

For a geometric series when the common ratio |r| > 1, then we use the formula for the sum of nth term:

Sₙ = a(rⁿ - 1)/(r - 1)...(1)

The nth term aₙ = arⁿ⁻¹

Thus for Sₙ = 4860 and aₙ = 3280.5, the value of a₁ can be derived as follows:

aₙ = arⁿ⁻¹

aₙ = arⁿ/r = 3280.5

rⁿ = a(r × 3280.5)/a

rⁿ = 9841.5/a

putting 9841.5/a for rⁿ in equation (1) we have;

Sₙ = a[(9841.5/a) - 1]/(r - 1)

Sₙ = (9841.5 - a)/(r - 1)

recall Sₙ = 4860 and r = 3 so;

(9841.5 - a)/2 = 4860

a = 9841.5 - 2(4860)

a = 121.5

Therefore, the first term a₁ of the geometric series is equal to 121.5

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1. Rachel has $60 to spend
on lunches this week. On
Monday she spent $5, and
on Tuesday she spent $7.
Which inequality can be
used to find, x, the amount
of money she can spend
the rest of the week?

Answers

X is less than or equal to 48

3. Arthur's mother is a mechanical engineer. She is designing
rectangular carts formoving finished goods from a factory's
manufacturing floor to the loading dock, where the goods are placed
on trucks.
She made a drawing showing where the carts must turn from a
hallway 48 inches wide to pass through a doorway 36 inches wide.
The drawing shows the longest cart that will pass through the
doorway.
to manufacturing floor 30 in.
G
E.
to loading dock
B
D
a) What kind of triangles are AABC and ACFD?
cart
36 in.
48 in.
b) In the drawing, one sixth of an inch represents 1 foot. What is the
scale factor of the drawing? Explain.

Answers

a) is Right angle Triangles both of them

b) The scale factor is 1:2.

How to solve

Given AFD = 90 degrees, So CFD = 90 degrees.

So it a Right Angle Triangle.

Again ABC = 90 degrees, It's also a Right Angle Triangle.

Here see both the Triangle are opposite to each other so according to the theorem sum of all three angles of a triangle is 180 degrees

so if any angle is 90 deg then the other two sum is also 90 deg.

Given the scale Factor, 1/6 inch = 1 foot,

So it is a Reducing Scale so let 'x' be in inches

So the Scale Factor = 1:2

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A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?

Answers

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

How to explain the function

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Select the correct answer from each drop-down men
menu.
What is the distance and midpoint between points D and E on the number line?
D
E
-4 -3 -2 -1 0 1 2 3 4 5
distance =
midpoint =
Reset
Next

Answers

The midpoint is M = 0.6 and the distance is D = 4.2

Given data ,

The distance between points D and E on the number line

D = 4.2

Now , the first point D = -1.8

And , the point E = 2.4

And , the distance D = 2.4 - 1.8 = 4.2 units

Thus, the midpoint between points D and E on the number line = 0.6

Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6

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The complete question is attached below :

What is the distance and midpoint between points D and E on the number line?

Imagine Math simple interest

Answers

The simple interest which has the least amount of interest is investment of $ 2000 at 10 % for 3 years

Given data ,

SI is the simple interest, P is the principal amount, r is the annual interest rate, and t is the time in years.

Given that P = 2000, r = 10% = 0.1, and t = 3 years, we can calculate the simple interest as:

SI = 2000 x 0.1 x 3 = 600

Hence , the simple interest earned on an investment of $2000 for 10% at SI for 3 years is $600

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Consider the five points
(0,0),(0,5),(6,0),(3,4),(−1,8)
in
R
2

and name them
(x
i

,y
i

)
for
i=1,…,5
. The objective is to find two coefficients
a,b∈R
such that the boundary of the ellipse
ax
2
+by
2
=1
is as close to the above 5 points as possible. To this end, we define the error function: \[ f(a, b)=\sum_{i=1}^{5}\left(a x_{i}^{2}+b y_{i}^{2}-1\right)^{2} \] Calculate the optimal values of
(a,b)
by finding the local minima of the error function
f(a,b)
.

Answers

The optimal values of (a,b) that minimize the error function f(a,b) are approximately (0.7205, 0.5369).

What is a function?

A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.

To find the optimal values of (a,b), we need to minimize the error function f(a,b). We can do this by taking partial derivatives of f(a,b) with respect to both a and b, and then setting them equal to zero:

∂f/∂a = 2∑([tex]x_{i}^{2}[/tex])(a [tex]x_{i}^{2}[/tex]+ b [tex]y_{i}^{2}[/tex] - 1) = 0

∂f/∂b = 2∑([tex]y_{i}^{2}[/tex])(a [tex]x_{i}^{2}[/tex] + b [tex]y_{i}^{2}[/tex] - 1) = 0

We can simplify these equations by defining the following sums:

Sxx = ∑[tex]x_{i}^{4}[/tex]

Syy = ∑[tex]y_{i}^{4}[/tex]

Sxy = ∑[tex]x_{i}^{2}y_{i}^{2}[/tex]

Sx = ∑[tex]x_{i}^{2}[/tex]

Sy = ∑[tex]y_{i}^{2}[/tex]

Using these sums, we can rewrite the partial derivatives as:

∂f/∂a = 2(aSx² + bSxy² - Sx)

∂f/∂b = 2(aSxy² + bSy² - Sy)

Setting these equal to zero and solving for a and b, we get:

a = (SySx - Sxy²) / (SxSyy - Sxy²)

b = (SxSy - Sxy²) / (SxSyy - Sxy²)

Plugging in the values for Sxx, Syy, Sxy, Sx, and Sy, we get:

a = 0.7205

b = 0.5369

Therefore, the optimal values of (a,b) that minimize the error function f(a,b) are approximately (0.7205, 0.5369).

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find x, y, and z


will give brainly

Answers

Answers:

[tex]z=12\sqrt{3} \\y=12\\x=12\sqrt2[/tex]

Ava uses a total of 72 bead. without dividing, how can you know if she made an even number of bracelets?

Answers

To check if the total number of beads used in each bracelet is even, we need to find out if the sum of the digits in the number 72 is even or odd.

How to know number of bracelets made

If Ava made an even number of bracelets using the 72 beads, then the total number of beads used in each bracelet must be an even number.

One way to check if the total number of beads used in each bracelet is even is to find out if the sum of the digits in the number 72 is even or odd. If the sum of the digits is even, then it is possible that Ava made an even number of bracelets. If the sum of the digits is odd, then it is not possible that Ava made an even number of bracelets.

The sum of the digits in 72 is 7 + 2 = 9, which is an odd number. Therefore, it is not possible for Ava to have made an even number of bracelets using the 72 beads, without dividing the beads.

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Find the square root of 1681

Answers

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Duante is wrapping a present that is 1 foot wide, 10 inches long, and 8 inches high. What is the minimum amount of
wrapping paper he will need?

Answers

592 square inches  is the minimum amount of wrapping paper Duante needed.

Duante will need a minimum of 592 square inches of wrapping paper.

Lets convert the dimensions to the same units.

Since there are 12 inches in a foot, the dimensions are:

Width = 1 foot = 12 inches

Length = 10 inches

Height = 8 inches

The rectangular box is known as a cube

The surface area of a b=cuboid is given by SA = 2lw + 2lh + 2wh

where l is length, w is width and and h is the height of the cuboid

Substituting the given values, we get:

SA = 2(10)(12) + 2(10)(8) + 2(12)(8)

= 240 + 160 + 192

= 592

Therefore, Duante will need a minimum of 592 square inches of wrapping paper.

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what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

Which linear equation is represented in the graph?

*If correct giving brainlyest*

A. y = 2x – 1


B. y = –2x – 1


C. y = –2x + 1


D. y = 2x + 1

Answers

Answer:

C

x1=2

-2(2)+1=3

which is the answer for y1

Other Questions
"an object with a mass of 0.20 kg has an acceleration of 5.0 m/s^2 when an unbalanced force of 1.0 n is applied to it" can be explained by newton's second law. Sequencing events social studies 7th grade Reteaching Activity 12-3 Inherited traits of individuals are governed in the genetic material found in the genes within chromosomes in the nucleus. This diagram shows the genetic basis of inherited traits. In the diagram D is a chromosome. What can you infer about the relationship of genes, chromosomes, and DNA? Select ALL that apply. You invest ten thousand dollars in an account that pays eight percent APR compounded monthly. After how many years will the account have twenty thousand dollars. Out of 400 people sampled, 160 preferredCandidate A. Based on this, estimate what proportion of the voting population (p) prefers Candidate A.Use a 90% confidence level, and give your answers as decimals, to three places. Use GeoGebra to calculate! Which of these research questions is much too narrow? 1. Who invented basketball2. How do clocks work3. Why do birds migrate4. What are the rules of soccer Identify the method for choosing appellate court judges that you think is the best. Write down reasons for your choice. Then take the role of a state senator and write a speech proposing that your state adopt that method. Support your stand with reasons. If private security agents are subject to prosecution in the U. S. Courts, why would the U. S. Want to hire any of theseprivate security forces? Which of these is an unsaturated solution? choose all that apply.o 50 g of kci in 50 g of water at 90c60 g of nh4cl in 100 g of water at 80co 70 g of nh3 in 100 g of water at 20c50 g of nh4cl in 100 g of water at 60c80 g of kno3 in 100 g of water at 60co 60 g of kl in 50 g of water at 10c Which emotional intelligence trait tends to be empathetic?. as you get older it, it will become harder to eat whatever you want and maintain a healthy weight. this is because your basel metabolic rate, or BMR, ______ as your age. Which of the following is the best example of an external customer for David's company? celine ordered a set of beads. she received 10,000 beads in all, 9,100 of the beads were brown. what percentage of the beads were brown? The value of car depreciates by 15% every year. if its present value is rs.80000 what is its value after 3 years. What was operation bootstrap? a.was an failed economic development program in the south that drove many blacks to migrate to northern and midwestern cities. b.was a failed economic development program in the north that drove many manufacturing businesses out of the country. c.was an economic development program in mexico that brought lots of business to the country but drove many people to migrate to the u.s. d.was an economic development program in puerto rico that brought lots of businesses to the island but drove many people to migrate to cities like nyc. Each group of words is a clause from the passage with capitalization andpunctuation removed. Decide which type of clause each group of words is. Drag each clause to the correct box. the studentswere excitedbecause theywere goingspelunkingwhen theyentered thecavethey usedflashlightsIndependent ClauseDependent Clause Based on the proposal in "license the cats", what should a person have in order to get a license to own a tiger? Ralph has a cylindrical container of parmesan cheese. The diameter of the base of the container is 2. 75 inches, and the height is 6 inches. What is the area of a horizontal cross section of the cylinder to the nearest tenth of a square inch? Use 3. 14 for new york city has passed a law banning cigarette and cigar smoking in public bars and restaurants within city limits. this law would be defined as Based on this expert what is the purpose of the IROQUOIS LEGUE