Fertiliser is applied at the rate of a grams per square metre. It
takes b kilograms to cover a field of area c square metres. Find a
formula for b in terms of a and c.

Answers

Answer 1

Step-by-step explanation:

1 kilogram (kg) = 1000 grams (g)

as "kilo" means 1000.

b = a × c / 1000

it is simple : we have "c" square meters. as we need to apply "a" grams per square meter, we need to multiply both numbers to know how many grams we need for that many square meters. hence a × c.

and to get kg, we need to divide this number of grams by 1000.

that's it.


Related Questions

if X + Y = 212 and xy = 27 find the value of (x³+y³)

Answers

X^3 + y^3 = (x + y)(x^2 - xy +’y^2)
X^2 + y^2 = (x+y)^2 - 2xy
So
X3 +y^3 = 212((212^2-2(27)-27))
= 212(46983)
= 9,960,396

SOMEONE PLS HELPP ASAP

Answers

Answer:

yes

Step-by-step explanation:

f the exterior angle of a polygon is given, then the formula to find the interior angle is Interior Angle of a polygon = 180° – Exterior angle of a polygon Method 3: If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides

Maytag Company earns $2.60 per share. Today the stock is trading at $46. The company pays an annual dividend of $1.60 a. Calculate the price-earnings ratio (Round your answer to the nearest whole number.) Price-earings natio b. Calculate the stock yield. (Round your answer to the nearest tenth percent.) Stock yield

Answers

a. The price-earnings ratio of Maytag Company's stock is 17.

b. The stock yield of Maytag Company's stock is 3.48%.

What are the price-earnings ratio and stock yield?

The price-earnings ratio is a financial measurement of the worth of Maytag Company.

The price-earnings (P/E) ratio is computed as the current stock price divided by the company's earnings per share.

The P/E ratio shows the potential investor how much to pay per share for each $1 of earnings.

The stock yield is a financial measurement that shows the dividends paid relative to the market value per share.

Data and Calculations:

Earnings per share = $2.60

Current share price = $46

Annual dividend = $1.60

a. Price-earnings ratio = Price per share/earnings per share

= 17 ($46/$2.60).

b. Stock yield = Annual dividend per share/Current stock price x 100

= 3.48% ($1.60/$46 x 100)

Thus, while the price-earnings ratio is 17, the stock yield is 3.48%.

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Which equation represents the data shown in the table below?

Answers

Answer:

  B.  y = x +3

Step-by-step explanation:

The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.

Substitution

Using the first line in the table, (x, y) = (2, 5), we have ...

  A  5 = 2(2) . . . . false

  B  5 = 2 +3 . . . . true

  C  5 = 3(2) . . . . false

  D  5 = 2 +1 . . . . false

__

Additional comment

Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.

If the vertex of a parabola is (-4,-7), what is the axis of symmetry?

Answers

Answer:

-4

Step-by-step explanation:

Given vertex, the axis of symmetry is x = h.

the set of integers less than -20

Answers

{-∞,..........,-22,-21}

In mathematical notation, the set of integers less than -20 as follows:

{-21, -22, -23, -24, -25, ...}

The set of integers less than -20 is the set of all whole numbers that are smaller than -20. Integers include both positive and negative whole numbers, as well as zero.

In mathematical notation, we can represent the set of integers less than -20 as follows:

{-21, -22, -23, -24, -25, ...}

The set includes all numbers that are smaller than -20, going indefinitely in the negative direction. Each number in the set is obtained by subtracting 1 from the previous number in the set.

For example:

-21 is the integer immediately smaller than -20, so it is included in the set.

-22 is the next integer, smaller than -20, so it is also included in the set.

And this pattern continues indefinitely, encompassing all the integers less than -20.

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Z+1 3. Given that Z & W are complex numbers. Prove that |Z + W|² - |z − w|² = 4Re(Z)Re(W)​

Answers

Let z=a+bi, w=c+di

[tex]|z+w|^2 -|z-w|^2 \\ \\ = |(a+c)+i(b+d)|^2 -|(a-c)^2 +i(b-d)|^2\\\\=(a+c)^2 +(b+d)^2-(a-c)^2 -(b-d)^2\\\\=a^2 +2ac+c^2 +b^2 +2bd+d^2 -a^2 +2ac-c^2 -b^2+2bd-d^2\\\\=4ac+4bd\\\\=4Re(z)Re(w)+4Im(z)Im(w)[/tex]

10005²³ x + cos x = 11 sin²x = 9​

Answers

/$/$3)37Aionenejiaiaiahdhsusus

2. The sum to infinity of an exponential sequence with a positive common ratio is 25 and the first two terms is 16. find fifth term

Answers

Answer:

0

Step-by-step explanation:

hi

hi

haha

and

and

are doing

dog food

0 answer

(scroll to bottom for answer)The equation you want to be using is A(n)+1=(A(n))r because this is a exponential sequence

r represents the ratio, which you said was 25, so basically you said

A(n)

____     = 25

A(n)-1

rthe sum of the first 2 terms are 16, the first two terms being A1 and A2, they need to follow the equation:

A2

__  = 25

A1

lets give them variables to make this a bit easier-

A1 will be x and A2 will be y

x+y=16(1st equation)

y/x=25, 25x=y(2nd equation)

(if you multiply y/x=25 by x you will get that 25x=y, which is where that other equation came from)

going back to x+y=16

subtract y from both sides

x=16-y

use substitution and solve for the second equation

25(16-y)=y

distribute

400-25y=y

add 25y to both sides to get rid of the -25y on the left side while keeping the equation equal

400=26y

divide both sides by 26 and you get 400/26 which simplifies to 200/13

after all that you need to multiply 200/13 by 25, 3 separate times

200                              1875000

___ x 25 x 25 x 25= _________

13                                      13

pull it into a calculator and you get something like

142846.153846

Compute the amount of interest earned in the following simple interest problem. A deposit of $1,295 at 7% for 180 days
(Note: Use 365 days in a year)

Answers

since there are 365 days in a year, so 180 days is really just 180/365 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1295\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\to \frac{180}{365}\dotfill &\frac{36}{73} \end{cases} \\\\\\ I = (1295)(0.07)(\frac{36}{73})\implies I\approx 44.7[/tex]

The answer to this problem please and thank you

Answers

Answer:

C

Step-by-step explanation:

The red dotted line we see is the asymptote, which is a line that the functions will never cross.

The asymptotes we see currently is:

x = -3

and

x = 2

We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:

(x-2) (x+3)

If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.

Answer:

C

Step-by-step explanation:

there are 2 vertical asymptotes at x = - 3 and x = 2

then the factors on the denominator will be (x + 3) and (x - 2)

then

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

Find the magnitude of −1−5i

Answers

The magnitude of -1-5i is √26.

What is the magnitude of -1-5i ?

Given the complex expression; -1 - 5i

To find the magnitude, we use the formula;

| a+bi | = √[ a² + b² ]

a = -1b = -5

| a+bi | = √[ a² + b² ]

| -1-5i | = √[ (-1)² + (-5)² ]

| -1-5i | = √[ 1 + 25 ]

| -1-5i | = √26

Therefore, the magnitude of -1-5i is √26.

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PLEASE HELP ASAPP PLEASE

Answers

Answer: Interior Angle

Step-by-step explanation:

The angle BAD is fully enclosed, it is on the inside

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 1 x-intercepts at x = -3 and x = 6 y-intercept at 5

Answers

The rational equation with the desired asymptotes and intercepts is given by:

[tex]f(x) = \frac{-10(x^2 - 3x - 18)}{9(x^2 - 5x + 4)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptotes are related to the roots of the  denominator, hence:

[tex]f(x) = \frac{a}{(x - 4)(x - 1)} = \frac{a}{x^2 - 5x + 4}[/tex]

The x-intercepts are related to the numerator of the function, hence:

[tex]f(x) = \frac{a(x + 3)(x - 6)}{x^2 - 5x + 4} = a\frac{x^2 - 3x - 18}{x^2 - 5x + 4}[/tex]

The y-intercept is to find a, hence, when x = 0, y = 5, thus:

-18a/4 = 5

18a = -20

a = -10/9

Hence the function is:

[tex]f(x) = \frac{-10(x^2 - 3x - 18)}{9(x^2 - 5x + 4)}[/tex]

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f(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b​

Answers

From the given inverse function, we have

[tex]f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12[/tex]

By definition of inverse function,

[tex]f\left(f^{-1}(x)\right) = x[/tex]

so that

[tex]f\left(2x-\dfrac12\right) = x[/tex]

[tex]a\left(2x-\dfrac12\right) + \dfrac b2 = x[/tex]

[tex]2ax - \dfrac a2 + \dfrac b2 = x[/tex]

[tex]\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}[/tex]

[tex]\implies \boxed{a=\dfrac12}[/tex]

[tex]\implies \dfrac b2 = \dfrac a2 \implies \boxed{b=\dfrac12}[/tex]

Question: You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per month. NOW Assume you have deductions for health care of $25 per pay period and 401K deduction of $50 per pay period. These deductions are pretax.

Gross Pay per pay period: $
Taxable Income per pay period:

You pay 11% in federal taxes. Federal tax withholding per pay period: $

___

Use the state tax rates below and calculate State tax withholding per pay period: $
(round to two decimals)

_____

From the image:

Calculate FICA withholding per pay period: $

Calculate Medicare withholding per pay period: $
(round to two decimals)

What is your Net pay per pay period: $
​​​​​​​(round to two decimals)

Answers

1) Based on the information, the following taxation calculations can be made:

a) Gross Pay per pay period: $500

b) Taxable Income per pay period: $425

c) Since you pay 11% in federal taxes, the Federal tax withholding per pay period is $46.75.

2) The State tax withholding per pay period is $20.

3) The calculation of FICA, Medicare, and the Net Pay per pay period is as follows:

FICA withholding per pay period: $25.50

Medicare withholding per pay period: $6.16

Net Pay per pay period = $326.59

Data and Calculations:

Total hours worked per pay period = 40 hours

Rate per hour = $12.50

Pay periods per month = 2

Gross pay per pay period = $500 (40 x $12.50)

Deductions per pay period:

Health care = $25

401K deduction = $50

Total deductions per pay period = $75

Taxable income per pay period = $425 ($500 - $75)

Federal taxes = 11%

Federal tax withholding per pay period: $46.75 ($425 x 11%)

Annual taxable income = $10,200 ($425 x 24)

State withholding tax (annual) = $480 {$120 + ($10,200 - $5,000) x 5%}

State withholding tax per pay period = $20 ($480/24)

FICA withholding per pay period: $25.50 ($425 x 6.2%)

Medicare withholding per pay period: $6.16 ($425 x 1.45%)

Net Pay per pay period:

Gross Pay $500

Total deductions $75

Taxable income = $425

Federal Withholding = $46.75

State Withholding = $20

]FICA Withholding = $25.50

Medicare Withholding = $6.16

Net Pay per pay period = $326.59

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Let A, B, C be three points on a circle

with AB = BC. Let the tangents at A and

B meet at D. Let DC meet again

at E. Prove that the line AE bisects the segment

BD. (Hint: Why do we care about a chord bisecting a tangent line?)​

Answers

The proof that the line AE bisects the segment can be seen below.

How to get the proof

Let us have

Γ1  and 2 are the two intersecting circles. to be the circumcircle of the shape ADE. Then we can see that  Γ1 is tangent to the line DB.

A common tangent would have to touch T1 at A and also touch T2 at B

Such that what we would have would be

<ADB = 180◦ − 2<ABD = <ABC = <AEC

This would then tell us that the line is tangent to the segment.

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Given the property:
a = am-n, for a 0
am
an
Explain the three cases for:
a. 0 b. 0 c.m=n

Answers

Could you try reposting the question clearly

All pies at the baked goods booth were cut into eighths. When Justina Hartley’s sift in the boot began, there were eight and one forth pies waiting to be sold. At the end of her shift there were only five pieces of apple pie left. How many pieces of apple pie were sold during Justina’s shift?

Answers

Answer: 3 1/4

Step-by-step explanation: you started with 8 1/4 subtract the 1/4 now ur left with 8-3 which equals 5

Question A cylinder has height 7 yards and radius 3 yards. Find the a. volume and b, surface area. Use 3.14 for . Do not round.

Answers

The volume of a cylinder is 197.82 yards³ and the surface area of ​​a cylinder is 188.4 yards².

Given a cylinder has a height of 7 yards and a radius of 3 yards.

(a) We first find the volume of the cylinder using the formula V=πr²h, where π=3.14, r=3 yards and h=7 yards.

Substitute the values ​​in the formula and we get

V=π(3)²×7

V=3.14×9×7

V = 197.82 yards³

(b) We will now find the surface area of ​​the cylinder using the formula S=2πr²+2πrh, where π=3.14, r=3 yards and h=7 yards.

Substitute the values ​​in the formula, we get

S=2π(3)²+2π×3×7

S=2×3.14×9+2×3.14×21

S=56.52+131.88

S = 188.4 square yards

Therefore, the volume and area of ​​a cylinder with a height of 7 meters and a radius of 3 meters is 197.82yards³ and 188.4 yards².

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What is the mean of 13, 7, 8 and 4

Answers

Answer:

16

Step-by-step explanation:

Mean is same as average. To find the average, add all items and divide the sum by the number of items in the list.

Avg = (13 + 7 + 8 + 4) / 2 = 32 / 2 = 16

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

To find the mean you first need to add all numbers and divide by how many there are :

  [tex]\sf{\dfrac{13+7+8+4}{4}}[/tex]

⨠ simplify

[tex]\sf{\dfrac{32}{4}}[/tex]

[tex]\boxed{\sf 8}[/tex]                                                                                              [tex]\tiny\pmb{\sf{Frozen \ melody}}[/tex]

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Type the correct answer in each box.
[3 x 6 1 -8 5] and -5A = [-15 35 -30 -5 40 y]
The value of x in A is ___ and the value of y in B is ___

Answers

The value of x in A is 7 and the value of y in B is -15

Functions and values

Functions are represented as a function of variable. Given the following sets of numbers.

A = [3 x 6 1 -8 5] and;

-5A = [-15 35 -30 -5 40 y]

Equate the individual values to have:

-5A= -15

Divide both sides by -5

-5A/-5 = -15/-5
A = 3

Determine the value of y

-5A = y

-5(3) = y

y = -15

Similarly;

5x = 35

x = 35/5

x = 7

Hence the value of x in A is 7 and the value of y in B is -15

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Answer:

The value of x in A is -7

The value of y in B is -25

Step-by-step explanation:

Everything in the first matrix can be multiplied by -5 to equal everything in the second matrix, since we are dealing with x and y, only the first and third rows matter.

In the first row, we know that 3 times -5 equals -15 and x times -5 equals 35

therefore, -5x=35, with basic algebra we find that X = -7

In the third row, we know that 8 times -5 is 40 and 5 times -5 equals y.

This takes just basic multiplication to find that Y = -25

The intersection point of an angle bisectors of a triangle

Answers

Answer: The point of intersection of angle bisectors of the 3 angles of triangle ABC is the incenter . The incircle touches each side of the triangle

Find the value of x.
Round to the nearest tenth.
A
X
29
B
50
26
C

x = [?]°

Answers

Answer:

Below

Step-by-step explanation:

Using the given law of cosines    c = 26   a = 50   b = 29

      and cos c   is  cos x  

26^2 = 50^2 + 29^2 - 2(50)(29) cos x

-2665 = -2900 cos x

cos x = 2665/2900

x = arc cos ( 2665/2900) = 23.2°

Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!

Answers

Step-by-step explanation:

if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c

A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero

because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain

x²-4 =! 0

(x-2)(x+2)=!0

x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis

the answer is all real number except -2 and -

2

B)p(m(x))=p(x²-4) =1/squaroot of x²-4

note they are two things involve we must not get division by zero and root of negative number

we have all real number expect from -2 to 2

C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)

we have 1/x-4

so the answer is all real number expect zero

A bird flies 50km everyday to collect food for his offspring and 20km to drink water. To fly this distance takes him 1 hour and 40 minutes. What’s his average speed over the whole day?

Answers

Answer:

42km/h

Step-by-step explanation:

70km=100 minutes

7km= 10min

42km=60min

42km/h

If F(x) = 3x² - 8x + C and F(1) = -6, what is the value of C?

Answers

Answer:

The value of C will be -1.

Step-by-step explanation:

Greetings !

[tex]f(1) = - 6 \\ thus \: substitute \: in \: the \: equation \: \\ f(x) = 3x {}^{2} - 8x + c \\ - 6 = 3(1) {}^{2} - 8(1) + c \\ - 6 = 3 - 8 + c \\ - 6 = - 5 + c \\ - 1 = c \\ c = - 1 \\ therefore \: f(x) = 3x {}^{2} - 8x - 1 \\ f(1) = 3(1) {}^{2} - 8(1) - 1 \\ f(1) = 3 - 8 - 1 \\ f(1) =3 - 9 \\ f(1) = - 6[/tex]

Solve the inequality and enter your solution as an inequality in the box below.
Do not use spaces in your answer.
2+ x>-8

Answers

Answer:

x > -10

Step-by-step explanation:

2 + x > -8

x > -8 - 2

x > -10

Answer:

x>-10

Step-by-step explanation:

2+x-2>-8-2

x>-10

A large party balloon is being filled with helium at a constant rate. After 8 seconds, there is 2.5L of helium in the balloon.

b) The balloon will burst if there is more than 10 L of helium in it. How long will it take to fill the balloon with that much helium?

Answers

Answer:

32 seconds

Step-by-step explanation:

first 8 secknds gives us the value of set 2.5l

2.5L to make 10 =

10÷2.5=4

That said 2.5L fills 1pL by 4 giving us;

4×2.5= 10L

Determine the fifth term of the binomial expansion (x+y)^4

Answers

The expression, the  fifth term of the binomial expansion is y^4

Binomial expansion

Binomial expansion is a means of expanding expressions into terms

Given the expression (x+y)^4, according to the theorem, as the power of x is decreasing, the power of y will be increasing up till the power of the expression.

Expand (x+y)^4

(x+y)^4 = x^4y^0 + x^3y^1 + x^2y^2 + xy^3 + x^0y^4

Include the coefficients according to the Pascal triangle to have:

(x+y)^4 = x^4y^0 + 4x^3y^1 + 6x^2y^2 + 4xy^3 + x^0y^4

(x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4

From the expression, the  fifth term of the binomial expansion is y^4

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Other Questions
Wonderful! Not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well, said Kim Clark, president of Martell Company. Our $18,300 overall manufacturing cost variance is only 1.2% of the $1,536,000 standard cost of products made during the year. Thats well within the 3% parameter set by management for acceptable variances. It looks like everyone will be in line for a bonus this year. The company produces and sells a single product. The standard cost card for the product follows: Standard Cost Cardper Unit of Product Direct materials, 2 feet at $8.45 per foot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $16.90 Direct labor, 1.4 direct labor hours at $16 per direct labor-hour . . . . . . . . .. . . . . . . 22.40 Variable overhead, 1.4 direct labor-hours at $2.50 per direct labor-hour .. . . . . . . . . . 3.50 Fixed overhead, 1.4 direct labor-hours at $6 per direct labor-hour . . . . . . . .. . . . . . . . 8.40 Standard cost per unit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. $51.20 The following additional information is available for the year just completed: a. The company manufactured 30,000 units of product during the year. b. A total of 64,000 feet of material was purchased during the year at a cost of $8.55 per foot. All of this material was used to manufacture the 30,000 units. There were no beginning or ending inventories for the year. c. The company worked 43,500 direct labor-hours during the year at a direct labor cost of $15.80 per hour. d. Overhead is applied to products on the basis of standard direct labor-hours. Data relating to manufacturing overhead costs follow: Denominator activity level (direct labor-hours) . . . . . . . .... . . . . . . . . . . . . . . . . . . . . . 35,000 Budgeted fixed overhead costs (from the overhead flexible budget) . . . . . . . . . . . . $210,000 Actual variable overhead costs incurred . . . . _____ are unintended and unrecognized; they're present but not immediately obvious. _______ consumers in the united states have increasing influences on mainstream u. S. Culture, and the buying power of this group is projected to reach $1. 3 trillion in 2015. The purpose of the _____ council is to assess staff learning needs, and develop and implement evidence-based programs to meet those needs. Platinum has a face-centered cubic crystal structure and a density of 21.5 g/cm^3. What is the radius of a platinum atom? A 20-unit apartment building gets $288 rent per unit per month. if the capitalization rate is 12 percent, what is the value of the building? how does the bill of rights protect citizens against poverty Which pair of words describe this system of equations 3y=9x-6 2y-6x=4 The miranda warning insures that the criminal suspects understand their constitutional rights relating to:_______ a. search and seizure. b. self incrimination. c. having a jury trial. d. double jeopardy. Mis hermanos y yo somos _____.O altoO bajosO contentaO divertidas Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B? (5 points) The office of the national coordinator for health information technology is providing assistance for establishing health information exchange organizations via the? The overall dimming of starlight passing through dust clouds is called? Find the local maximum and minimum values of f using both the first and second derivative tests. f(x) = 6 9x2 6x3 local maximum value local minimum value Causative verb of Did you get your certificates.......... (photocopy)? Permissive parent set rules for their children but never in force them. They most never say no. Since permissive parents didnt have healthy boundaries growing up they tend to. High self of stem The idea that social and economic inequalities must be to the greatest benefit of the least-advantaged members of society is called? Why are there so few steps to securedefault IIS in Windows Server 2019? Standard six-sided dice have their dots arranged so that the opposite faces add up to 7.If 27 standard dice are arranged in a 333 cube on a solid table what is the maximum number of dots that can be seen from one position? Tornadoes, although erratic in their pathways, are always characterized by ________ pressure. constantly variable low high devaporized adiabatic