On a coordinate plane, kite H I J K with diagonals is shown. Point H is at (negative 3, 1), point I is at (negative 3, 4), point J is at (0, 4), and point K is at (2, negative 1). Which statement proves that quadrilateral HIJK is a kite? HI ⊥ IJ, and m∠H = m∠J. IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK. IK intersects HJ at the midpoint of HJ at (−1.5, 2.5). The slope of HK = Negative two-fifths and the slope of JK = Negative five-halves.

Answers

Answer 1

Answer:

(B)IH = IJ = 3 and [tex]JK = HK = \sqrt{29}$ units[/tex], and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

In a kite the following properties applies

Adjacent sides are equal

IH and IJ are adjacent sides

IH=IJ=3 Units

Similarly, JK and HK are adjacent sides and:

[tex]JK = HK = \sqrt{29}$ units[/tex]

Since opposite sides of a kite must not be equal,

IH ≠ JK and IJ ≠ HK.

Therefore, Option B is the statement that proves that HIJK is a kite.

On A Coordinate Plane, Kite H I J K With Diagonals Is Shown. Point H Is At (negative 3, 1), Point I Is
On A Coordinate Plane, Kite H I J K With Diagonals Is Shown. Point H Is At (negative 3, 1), Point I Is
Answer 2

Answer:

B. IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

got it correct on edge. have a good day!


Related Questions

Anyone pls I need help at this

Answers

Answer:

$62.7

solution,

She starts to work at 7:45 am

She stops the work at 12:30 for lunch.

Before launch, she works 4:15 hours.

And after lunch ,she works 4 hours

Now,

total she works 8 hours 15 minutes.

For each hour,she earn 7.60

[tex]8 \times 7.60[/tex]

=$ 60.8

For another 15 min,she earns $ 1.9

So,

Total earning=60.8+1.9

=$ 62.7

Hope this helps...

Good luck on your assignment...

Find the square root of 49/81

Answers

Answer:

7/9

Step-by-step explanation:

√(49/81)

Distribute the square root to both the numerator and denominator.

√49/√81

Solve the square root.

√49 = 7

√81 = 9

7/9

The solution to the square root of 49 divided by 81 is equal to 7/9.

What is a quotient?

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for square root of 49 divided by 81;"

Expression: [tex]\sqrt{\frac{49}{81}}= \frac{7}{9}[/tex]

Expression: 7/9

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In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95.

Answers

Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.

Step-by-step explanation:

You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.

Hope this helped you! Feel free to ask any further questions!

The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to form equation?

Suppose  the number of dimes be x and the number of quarters be y.

According to question there are 16 coins, so

x+y=16-----1

1 dime=$0.10

1 quarter=$0.25

According to question Hamid has $2,95 ,so

0.10x+0.25y=2.95.

Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

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Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach. How many cups of salad are in the resulting mixture? 8 9 12 13

Answers

Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

write down the value of 5 in 19.54

Answers

Answer:

10ths Place (Decimal)

Step-by-step explanation:

Whole numbers:

The 1 in 19.54 is in the tens place.

The 9 is in the ones place.

Decimals:

The 5 is in the tenths place.

The 4 is in the hundredths place.

Answer:

look below for your answer

Step-by-step explanation:

5 is in the tenth column

i hope i helped you

please mark my answer as brainliest

If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4, what is the equation of the new function?

Answers

The current function equation is  Y=1/3|x|

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

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

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

Hope this helps!

Brainliest would be great!

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

With all care,

07x12!

Answer: G(x)= 3/4 |x|

Step-by-step explanation:

(A.pex)

URGENT!! HELP! 25 POINTS FOR THESE QUESTIONS!

Answers

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Finding which number supports the idea that the rational numbers are dense in the real numbers?

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Answers

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

Determine the period of this function a. 6p c. 1 b. 4p d. -1

Answers

Answer:

4pie

Step-by-step explanation:

period = time/number of oscillation

time=4pie

number of oscillation = 1

then

period = 4p/1= 4p

Answer:

b. 4pi

Step-by-step explanation:

s = ut + 12 at2
u = 10
a = -2
t = Ź
Work out the value of s.

Answers

Answer:

s=10Ź+ź×ź

Step-by-step explanation:

S =ut + 1/2at×t

Pls help!!!!!!! I need help on this

Answers

Answer:

x = 3 ft

y = 83

Step-by-step explanation:

DEFG ≅ SPQR

So, corresponding part will be congruent

∠D ≅ ∠S   ; ∠E ≅ ∠P ;  ∠F≅ ∠Q  ;  ∠G ≅ ∠R

DE = SP

x = 3 ft

Sum of interior angles = 360

∠D + ∠E + ∠F + ∠G = 360

∠S + (y+3) + ∠Q + (y +1) = 360

107 + y + 3 + 83 + y+1 = 360

194 + 2y = 360

        2y = 360 - 194

        2y = 166

         y = 166/2

        y = 83

Samantha is running a race that is x meters. She runs the first 40% of the race at y meters per second and the remainder of the race at z meters per second. How long, in seconds, does it take for Samantha to finish the race? A detailed explanation please :)

Answers

Answer:

[tex] \frac{2xz + 3xy}{5yz} \: seconds[/tex]

solution,

[tex]time = \frac{distance}{speed} [/tex]

Let race be X meters.

Total time taken:

[tex] \frac{40 \: percent \: of \: x}{y \: metre\: per \: second} + \frac{60 \: percent \: of \: x}{z \: metre \: per \: second} \\ = \frac{40}{100} \times \frac{x}{y} + \frac{60}{100} \times \frac{x}{z} \\ = \frac{2}{5} \times \frac{x}{y} + \frac{3}{5} \times \frac{x}{z} \\ = \frac{1}{5} ( \frac{2x}{y} + \frac{3x}{z} ) \\ = \frac{x}{5} ( \frac{2z + 3y}{yz} ) \\ = \frac{2xz + 3xy}{5yz} \: seconds[/tex]

hope this helps...

Good luck on your assignment...

Answer:

t= 0.2x (2/y + 3/z)

Step-by-step explanation:

Distance:

40% of the race= 0.4x

60% of the race= 0.6x

Speed:

y m/s at first part and z m/s at second part

Time:

time= distance/speed, it also consists on 2 parts due to different speed

t= 0.4x/y + 0.6x/z

or

t= 0.2x (2/y + 3/z) seconds is the answer

Figure ABCD is a rectangle.Find the value of x. help !!!

Answers

Answer:

x=1

solution,

In rectangle, the diagonal bisects each other,

BE=ED

[tex]2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Hope this helps..

Good luck on your assignment..

Type the correct answer in each box, If necessary, use / for the fraction bar(s).
1
-1
The point on the number line shows the opposite of
or the opposite of the opposite of
Reset
Next

Answers

Answer: -1/1

Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.

PLS HELP, URGENT!!
What is the following simplified product? Assume x >/= 0. ( sqrt 6x^2 +4 sqrt 8x^3) (sqrt 9x -x sqrt 5x^5)

Answers

CHECK PHOTO:
3x square root 6x - square root 30 x x^4+ 24x square root2x - 8x^4 square root 10x

A correct option is an option (d)

The given expression is,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]

Now, simplifying the given expression as,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]

So, the correct option is an option (d).

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Cape Beale Lighthouse, BC, is
on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.

Answers

Answer:

tan 50 = (51+10)/x where x is the distance of the boat

x = 51.2 m  

Boat is in an unsafe area

Step-by-step explanation:

<3

write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1

Answers

Answer:

y = 8x + 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

Take the negative reciprocal of the 1st equation

m = 8

y = 8x + b

Step 2: Find b

7 = 8(-1) + b

7 = -8 + b

b = 15

Step 3: Rewrite perpendicular equation

y = 8x + 15

If x=1/4 and y=3/7, evaluate the following expression: 7x−4y

Answers

Answer:

1/28

Step-by-step explanation:

The expression is 7x-4y

x = 1/4y= 3/7

Replace x by 1/4 and y by 3/7

7x-4y7*([tex]\frac{1}{4}[/tex]) - 4*([tex]\frac{3}{7}[/tex])         multiply 1 by 7 and 4 by 3[tex]\frac{7}{4}[/tex] - [tex]\frac{12}{7}[/tex]              multiply 7/4 by 7 and 12/7 ny 4 to get the same denominator [tex]\frac{49-48}{28}[/tex] 1/28

HELPPP HELPPPP. iS this function or relation and why?

Answers

Answer:

a function, it passes the vertical line test

Step-by-step explanation:

Answer:

Function

Step-by-step explanation:

This is a function because when you do the line test there are no 2 points on the same line. The line test is when you have a bunch of lines going up and down to see if more then one point is on the same line if so it is not a function. When only one point lays on each line then it is a function.

Help help help please I need help fast

Answers

The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five

Please Mark brainliest

Answer:

The answer is x=7/5

Step-by-step explanation:

because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5

Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used. Simplify the given polynomial expressions, and determine the degree and number of terms in each expression. (photo attached below)

Answers

Answer:

1

the degree is 3 and the number of terms is 3 after simplifying

2

the degree is 9 and the number of terms is 9 after simplifying

3

the degree is 4 and the number of terms is 2 after simplifying

Fill in the blank given O below you can conclude that OA is congruent to

Answers

Answer: D) OF

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

TEN POINTS !!!!! if f(x)=x^2-6x and g(x)=x^3 squared what is (fog) (x)

Answers

Answer:

f(x) = x² - 6x

g(x) = (x³)² = x^6

( f o g) x

Wherever you see x in f(x) replace it by g(x)

That's

( f o g)(x) = (x^6)² - 6(x^6)

= x^12 - 6x^6

Hope this helps

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:  see below

Step-by-step explanation:

[tex]sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\[/tex]

Input x = 13, y = 84, r = 85 into the trig functions:

[tex]\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}[/tex]

find the geometric mean of 5 and 20

Answers

Answer:

x =10 because it is

The geometric mean of 5 and 20 is 10.

Given that we need to find the geometric mean of 5 and 20.

The geometric mean of two numbers is the square root of their product. To find the geometric mean of 5 and 20, we follow these steps:

Step 1: Multiply the two numbers.

5 x 20 = 100

Step 2: Take the square root of the product obtained in Step 1.

√100 = 10

The geometric mean is used to find a central value that represents the "middle" of a set of numbers when multiplied together.

It is different from the arithmetic mean, which is the sum of the numbers divided by the count of numbers.

In this case, the geometric mean of 5 and 20 is calculated as the square root of their product (5 x 20 = 100).

The square root of 100 is 10. So, the geometric mean is 10.

The geometric mean is often used when dealing with quantities that vary exponentially or when averaging ratios.

So, the geometric mean of 5 and 20 is 10.

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Calculate the slope of the line going through A(-4,3) and B(0,6)

Answers

Answer:

3/4

Step-by-step explanation:

The slope of the line is given by

m= (y2-y1)/(x2-x1)

   = (6-3)/(0 - -4)

  = (6-3)/( 0+4)

   3/4

URGENT! Please help me with this question!!!!!

Answers

Answer:

[tex]\boxed{GJ = 76 \ degrees}[/tex]

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = [tex]\frac{1}{2} (BD+GJ)[/tex]

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = [tex]\frac{1}{2} (24+GJ)[/tex]

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

Select the two values of x that are roots of this equation.
x2 + 3x - 6 = 0
A. X=
-3 - 33
2
B. X=
-3+ /33
2.
O C. X =
-3+v15
2
D. *= -3- V15
2

Answers

Answer:

answers are a and b

picture shown

The table contains the proof of the theorem of the relationship between slopes and parallel lines. What is the missing statement for step 6?

Answers

Answer:

D. The slope of AC = The slope of DF

Step-by-step explanation:

Given

Parallel lines AC and DF

Required

What is the missing statement for step 6?

The question seem incomplete; however one can deduce from the list of options that the requirement of the question is to state the condition for parallel lines;

Let [tex]m_1[/tex] and [tex]m_2[/tex] represent the slope of AC and DF resoectively

The condition for parallel line is such that

[tex]m_1 = m_2[/tex]

This implies that

the slope of AC = the slope of DF

From the list of given options, option D correctly answers the question

Based on the relationship between slopes and parallel lines, we can deduce that the missing statement is given by: the slope of AC = The slope of DF.

How to calculate the slope of a line?

Mathematically, the slope of a line is calculated by using the following formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

Based on the above conditions, we can deduce that the missing statement is given by:

The slope of AC = The slope of DF.

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Can someone please help me I really need help

Answers

Answer:

9:30 A.M

Hope this helps! Have a nice day :)

Answer:

Total time they used = 2 hours 45min + 1 hour + 1 hour

= 4 hours 45min

To find the time they started watching

Subtract it from the time they came from playing soccer

that's 2:15pm

After subtracting we get

9:30 am

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A student is conducting their science experiment on the effect of caffeine ondogs. He has 3 groups of test subjects. The 1st group of dogs receives plainwater. The 2nd group of dogs receives 10 mg of caffeine each, and the 3rd groupreceives 50 mg of caffeine each. He will measure their activity levels byrecording how long each dog runs without stopping, after giving them the pills.What is the dependent variable in this experiment?A. The amount of dogs tested.B. The dogs that receive water.C. The amount of caffeine given.D. The amount of activity. a) What is the meaning of specific heat capacity ? Which statement best describes a sphere of influence? Which is not an obligation of citizens to their country? to obey laws to pay taxes to serve in the military to stay within borders The figure below shows a line graph and two shaded triangles that are similar:-20-16-12-8-40-14 8 12 16 20Which statement about the slope of the line is true? The slope from point o to point A is one-fourth times the slope of the line from point A to point B.The slope from point o to point A is four times the slope of the line from point A to point B.Olt is throughout the lineIt is -4 throughout the line. On the first postpartum day, a neonate diagnosed with an ABO incompatibility has a bilirubin level of 10 mg/dL (170 mol/L). After teaching the parents about this condition, which statement by the parents about the neonate indicates the need for additional teaching? A company produces a product with the upper specification limit of 22 inches long and the lower specification limit of 18 inches. The process that produces the product has an average length of 19 inches with a standard deviation of 0.4 inches. What is the process capability ratio/index A sample of 26 offshore oil workers took part in a simulated escape exercise, and their escape time (unit: second) were observed. The sample mean and sample standard deviation are 370.69 and 24.36, respectively. Suppose the investigators had believed a priori that true average escape time would be at most 6 minutes. Does the data contradict this prior belief? Assuming normality, test the appropriate hypotheses using the rejection region method at a significance level of 0.05. If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0 he weight of male babies less than months old in the United States is normally distributed with mean pounds and standard deviation pounds. (a) Find the nd percentile of the baby weights. (b) Find the th percentile of the baby weights. (c) Find the first quartile of the baby weights. Use the TI-84 Plus calculator and round the answers to at least two decimal places. So for math class they gave me this equation and it is 6 3(1+2) it makes no sense, I just keep getting stumped An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.10 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 37.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target Though it is seen as a last resort, bankruptcy allows a consumer to A 0.3-m-radius automobile tire rotates how many revolutions after starting from rest and accelerating at a constant 2.13 rad/s2 over a 23.2-s interval? Read this writing prompt. Write an argumentative essay about whether kids should be allowed to bring cell phones to school. Based on the prompt, which claim is the strongest? Cell phones are helpful tools that allow people to easily access information and stay organized. In the latest survey, 78 percent of kids asked said that they believed they should be allowed to bring cell phones to school. Schools should not allow kids to bring cell phones because they are too much of a distraction. Not every kid can have a cell phone because they are expensive and many kids do not have jobs. Someone pls help will mark as brainiest The count rate of a radioactive source decreases from 1600 counts per minute to 400 counts per minute in 12 hours. What is the half-life of the source? The effects of inflation Suppose Specific Automakers is considering signing a long-term contract with the union representing its workers. Specific Automakers and the union both agree that real wages should increase by 3%. Inflation is expected to be 6%, so they agree on a 9% nominal wage increase. Now, suppose inflation turns out to be lower than expected, coming in at 5%. This would the _______union and _______ Specific Automakers because the real wage increase would now be _______. Because of uncertainty about future inflation, the union devotes a large quantity of resources to monitoring inflation indicators in order to maximize its financial position. This illustrates the fact that: A. Inflation harms lenders and helps borrowers B. Inflation obscures relative price changes C. Variable inflation is associated with high transaction costs Which answer below correctly identifies the type of change and the explanation for the boiling of water?o physical change because even though the change caused the temperature of the water toincrease, the water's physical properties remained exactly the sameo physical change because even though gas formation was observed, the water was undergoing astate change, which means that its original properties are preservedchemical change because gas formation was observed, which indicated that the water wastransformed into a different substanceO chemical change because a temperature change was observed, which indicated that the waterwas transformed into a different substance Please answer this correctly