What is the value of x in the equation below?
BREE
6(x-8) = 72
O 12
O 15
O 20
O 24

Answers

Answer 1
First you multiply 6(x) then you multiple 6(8)

Your equation should now look like this: 6x-48=72

Subtract 48 from both sides

Your equation should now look like 6x=120

Divide by 6

Answer is 20

Related Questions

please help with this question!

please help with this question!

Answers

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

An isosceles triangle has a perimeter of 46 inches. The base is 6 less than twice each of the congruent legs. What is the sum of the lengths of the two congruent legs?

Answers

Answer: 26 inches

Step-by-step explanation:

An isosceles triangle has two congruent legs.

1) Set up the equations

P = b + 2L

b = 2L-6

2) Substitute for variables

46 = (2L - 6) + 2L

3) Solve the equation

46 = 4L - 6

52 = 4L

13 = L

4) Solve the problem

It asks for what is the sum of the two congruent legs

13 + 13 = Ans

26 = Ans

the nurse observes dappled brown patches inside on a patient’s cheek. what does this indicate?

Answers

The presence of dappled brown patches on a patient's cheek may indicate a condition called melasma. Melasma is a common skin condition that typically affects women and is associated with hormonal changes, sun exposure, and genetic factors.

Dappled brown patches on the cheek often suggest a condition called melasma. Melasma is a common skin disorder characterized by the development of dark, irregularly shaped patches on the skin. It typically affects women, especially those with darker skin tones, and is often associated with hormonal changes, such as during pregnancy or with the use of birth control pills. Sun exposure is another contributing factor to the development of melasma. Genetic factors also play a role, as it tends to run in families. Melasma is not a harmful or dangerous condition but can cause cosmetic concerns and affect a person's self-esteem.

To manage melasma, various treatment options are available. These include topical creams containing ingredients such as hydroquinone, tretinoin, or corticosteroids, which can help lighten the patches over time.

Chemical peels that involve the application of a chemical solution to exfoliate the skin and reduce hyperpigmentation may also be used. In some cases, laser therapy can be beneficial to target and break up the excess pigment in the affected areas.

It's important to note that melasma may recur, especially with sun exposure, so it's essential to protect the skin from the sun by wearing sunscreen and using protective clothing. Consulting a dermatologist is recommended to determine the most appropriate treatment approach for an individual case of melasma.

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I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

I dont know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer: They are related by the AAS postulate and they can be proven congruent.

Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.

I hope I helped! :)

need help asap!! please​

need help asap!! please

Answers

Answer: 12.5

Step-by-step explanation:

25 / 2 = 12 1/2

12 1/2 in decimal form is 12.5

Answer:

12.5

Step-by-step explanation:

=> \(\frac{25}{2}\)

In mixed form, it is

=> \(12\frac{1}{2}\)

And in decimal form, it becomes

=> 12.5

Two urns contain blue and green balls. urn 1 contains 3 blue balls and 4 green balls. urn 2 contains 7 blue balls and 16 green balls.
1. if a blue ball is drawn, what is the probability that it came from urn 2?
2. if a green ball is drawn, what is the probability that it came from urn 1?

Answers

Answer: 3/20

Step-by-step explanation:

Probability of drawing a blueball from Urn I is

PI=66+4=610

Probability of drawing a blue ball from Urn II is

PII=22+6=28

Probability that both balls are blue

P=PI⋅PII=610⋅28=320

Two urns contain blue and green balls. urn 1 contains 3 blue balls and 4 green balls. urn 2 contains

For the reaction A(l) *) A(g), the equilibrium constant is 0.111 at 25.0°C and 0.333 at 50.0°C. Making the approximation that the variations in enthalpy and entropy do not change with the temperature, at what temperature will the equilibrium constant be equal to 2.00? (Answer is 374K)

Answers

At approximately 374 K, the equilibrium constant will be equal to 2.00.

To solve this problem, we can use the Van 't Hoff equation, which relates the equilibrium constant (K) to the change in temperature (ΔT) and the standard enthalpy change (ΔH°) for the reaction. The equation is given as:

ln(K2/K1) = -ΔH°/R * (1/T2 - 1/T1)

Where K1 and K2 are the equilibrium constants at temperatures T1 and T2, respectively, ΔH° is the standard enthalpy change, R is the gas constant (8.314 J/(mol·K)), and T1 and T2 are the temperatures in Kelvin.

Let's use the given data and solve for the unknown temperature T2:

ln(2/0.111) = -ΔH°/R * (1/T2 - 1/298.15)

Since we are assuming that the enthalpy change does not change with temperature, we can cancel it out in the equation:

ln(2/0.111) = -ΔH°/R * (1/T2 - 1/298.15)

Now, we can solve for T2:

1/T2 - 1/298.15 = (ln(2/0.111) * R) / ΔH°

1/T2 = (ln(2/0.111) * R) / ΔH° + 1/298.15

T2 = 1 / [(ln(2/0.111) * R) / ΔH° + 1/298.15]

Substituting the values:

ln(2/0.111) ≈ 1.4979

R = 8.314 J/(mol·K)

ΔH° (approximation) = -8.314 J/mol

T2 = 1 / [(1.4979 * 8.314 J/(mol·K)) / (-8.314 J/mol) + 1/298.15]

T2 ≈ 374 K

Therefore, at approximately 374 K, the equilibrium constant will be equal to 2.00.

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Samuel wants to save enough money to buy a new couch, but isn’t sure which bank’s savings account he should sign up for. Wells Fargo has a yearly interest rate of 6%. Chase has an interest rate of 0.5% compounded monthly. If Samuel deposits $3000 at the beginning of the year and makes no additional deposits or withdrawals, which bank would have the higher balance after one year?

Answers

wells Fargo would have a higher balance after one year

Step-by-step explanation:

wells Fargo would have a higher balance after one year

Find the equation of the linear function represented by the table below in slope-intercept form.

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y= 6x-8

Step-by-step explanation:

you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.

Answer:

Step-by-step explanation:

recall slope m is:

slope = m

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

point P1 (0,-8)  in the form (x1,y1)

point P2(1,-2)  in the form (x2,y2)

m = { -2-(-8) } / { 1-0 }

m = { -2+8 } / 1

m = 6 /1

m = 6

then plug in any point, I'll use P1

y - y1 = m(x -x1) (point-slope formula)

y - (-8) = 6*(x-0)

y+8 = 6x

y= 6x -8  (slope-intercept formula)  :)

Determine c such that f(c) is the average value of the function f(x) = x + 3 on the interval [1, 3].

Determine c such that f(c) is the average value of the function f(x) = x + 3 on the interval [1, 3].

Answers

The value of C is 5.

Given,

Function f(x) = x + 3

Interval [ 1, 3 ] .

Formula:

Average value of the function:

C = \(\int\limits^b_a f(x) \, dx\)   / (b-a)

C = \(\int\limits^1_3 {x+3} \, dx\)/ ( 3-1 )

C = \((x^2/2)^3_1\) + 3\((x)^3_1\)  /(2)

C = 5

Hence the average value of function is at f(5).

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To celebrate the first day of school, Marie brought in a tray of caramel brownies and walnut brownies. The tray had a total of 10 brownies, of which 10% were caramel. How many caramel brownies did Marie bring?

Answers

Answer:

Marie has 1 caramel brownie

Step-by-step explanation:

10 percent of 10 is 1

Gina wants to list the numbers below in order from least to greatest. 0.02, 0.002, 0.2, 1/20 Which of the lists below shows the numbers in order from least to greatest?

Answers

0.002, 0.02, 0.05 (which is 1/20), 0.2

The numbers in order from least to greatest will be;

⇒ 0.002, 0.02, 0.05, 0.2

What is Ascending order?

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The numbers are,

⇒ 0.02, 0.002, 0.2, 1/20

Now,

Since, The numbers are,

⇒ 0.02, 0.002, 0.2, 1/20

⇒ 0.02, 0.002, 0.2, 0.05

Hence, The numbers in order from least to greatest is written as,

⇒ 0.002, 0.02, 0.05, 0.2

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A) NO CHANGE
B) famous and well-known
C) famous and commonly known
D) famous, commonly known

Answers

The correct option is B. Famous and well-known.

A person who is widely known is said to be famous, renowned, celebrated, noteworthy, notorious, distinguished, prominent, or illustrious. Being extensively and well known, even for a little period of time, is all that being famous really means. A known actress suggests greater honor and acclaim.

Celebrated, distinguished, eminent, illustrious, notable, notorious, and renowned are some popular synonyms for famous. All of these phrases refer to being "known far and wide," while "famous" only refers to the reality of having a large and widespread following.

Disclaimer

8 famous images showed Tweed with a bag of money in place of his

A) NO CHANGE

B) famous and well-known

C) famous and commonly known

D) famous, commonly known

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Apply the distributive property to factor out the greatest common factor. 12+20

Answers

Answer:

4 is the answer.

Step-by-step explanation:

Braunliest?

What is the slope of 3x + 4y = 12?

O 3/4

O 3

O 4

O -3/4

There are 35 questions total that will be posted in mathematics as this is Algebra I!

Whoever answers correctly and with an explanation will receive Brainliest when the option shows up on my end!

PLEASE ANSWER ASAP!!

Answers

The slope for 3x + 4y = 12 will be -3/4

goran is driving to new york city. suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). goran has 53 miles to his destination after 30 minutes of driving, and he has 39.7 miles to his destination after 44 minutes of driving. how many miles will he have to his destination after 48 minutes of driving?

Answers

35.9 miles will have from home after 48 minutes.

To calculate this we use the simple formula:

slope formula: m = y2-y1/x2-x1---------(1)

where the values are already given

x1=30; y1=53

x2=44 y2=39.7

m=39.7-53/44-30

  =-13.4/14

m=-0.95.

Use the point/slope y - y1 = m(x - x1)--------(2)

substitute the m value in equation(2),we get

y - 53 = -0.95(x - 30)

y - 53 = -0,95x + 28.5

y = -0.95x + 28.5+53

y = -0.95x+81.5--------(3)

Here taking x = 48 because the destination for minutes and substituting in equation(3) we get

y = -0.95(48)+81.5

y = -45.6+81.5

y = 35.9 miles from home after 48 min.

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HELP WANTED!! due today in 30mins!!​

HELP WANTED!! due today in 30mins!!

Answers

Hi there!

1. R & S
2. P & R
3. P & T
4. O & R
5. S & N
6. R & Q
7. S & T

Hope this helps !

Answer:

alternate interior is O&R

alternate exterior is N&S

consecutive interior is O&Q

consecutive exterior is N&T

Step-by-step explanation:

This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average

Answers

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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Mr. Twyford drove 200 miles in 4 hours. At this rate, how long would it take him to drive 350 miles?

Answers

7 hours to drive 350 miles

whats 14 4/10 - 13 1/3 ASAP

Answers

Answer:

1 1/15

Step-by-step explanation:

Answer:

16/15  or  1.06.. or 1 1/15

Step-by-step explanation:

:)

A continuous DV and one discrete IV with 2 levels. Two groups that each get one level. B. A continuous DV and one discrete IV with 3 or more levels. C. All of your variables are discrete. D. A DV and an IV that are both continuous. E. A continuous DV and two or more discrete IVs. F. A continuous DV and one discrete IV with 2 levels. One group that gets both levels.

Answers

In this experimental design, there is a continuous DV and a discrete IV with two levels. However, there is only one group that receives both levels of the IV. An example would be measuring the effect of caffeine on reaction time. Participants would be given both a caffeinated and non-caffeinated drink and their reaction time would be measured. This design is useful when it is not feasible to have two separate groups.

In the context of experiments, it is important to categorize your variables into discrete and continuous types.

Here are examples of experimental designs for various types of variables: A continuous DV and one discrete IV with 2 levels. Two groups that each get one level.  

In this experimental design, you have a dependent variable (DV) that is measured continuously and an independent variable (IV) that is measured discretely with two levels. Two groups are randomly assigned to each level of the IV. For example, the DV could be blood pressure and the IV could be medication dosage. Two groups would be assigned, one receiving a high dosage and one receiving a low dosage.

A continuous DV and one discrete IV with 3 or more levels.  Similar to the previous design, this design has a continuous DV and a discrete IV. However, the IV has three or more levels. An example would be the IV being a type of treatment (e.g. medication, therapy, exercise) and the DV being blood sugar levels.

The levels of the IV would be assigned randomly to different groups.All of your variables are discrete.  In this experimental design, all variables are discrete. An example would be testing the effectiveness of different types of advertising (TV, social media, print) on customer purchases. The variables could be measured using discrete categories such as "yes" or "no" or using a Likert scale (e.g. strongly agree to strongly disagree).DV and an IV that are both continuous.  

In this experimental design, both the dependent and independent variables are continuous. An example would be measuring the relationship between hours of sleep and reaction time. Participants' hours of sleep would be measured continuously, and reaction time would also be measured continuously.

A continuous DV and two or more discrete IVs.  In this experimental design, there is one continuous DV and two or more discrete IVs. For example, an experiment could measure the effect of different types of music on productivity. The IVs could be genre of music (classical, pop, jazz) and tempo (slow, medium, fast).Continuous DV and one discrete IV with 2 levels. One group that gets both levels.

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Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the​ "image" program involves providing​ tasty, inviting patient meals that are also healthful. A questionnaire accompanies each meal​ served, asking the​ patient, among other​things, whether he or she is satisfied or unsatisfied with the meal. A 150​-patient sample of the survey results over the past 7 days yielded the following​ data:

Day No. of Unsatisfied Patients
1 22
2 20
3 6
4 15
5 10
6 26
7 17

The control limits to include​ 99.73% of the random variation in meal satisfaction​ are:
UCL: ____
LCL: _____

Based on the developed control​ limits, the number of unsatisfied patients has been: In control or out of control?

Answers

Answer:

Step-by-step explanation:

not sure 2

Darboux's Theorem: Let f be a real valued function on the closed interval [a,b]. Suppose f is differentiable on [a,b]. Then f′ satisfies the intermediate value property.
What is the intermediate value property?
Give an example of a function defined on [a,b] that is not the derivative of any function on [a,b]
Give an example of a differentiable function f on [a,b] such that f′ is not continuous.
Present a proof of Darboux's theorem.

Answers

The answer to the question :

Darboux's Theorem: Let f be a real-valued function on the closed interval [a,b]. Suppose f is differentiable on [a,b]. Then f′ satisfies the intermediate value property.

What is the intermediate value property?

Give an example of a function defined on [a,b] that is not the derivative of any function on [a,b]

Give an example of a differentiable function f on [a,b] such that f′ is not continuous.

Present proof of Darboux's theorem. is given below:

Explanation:

The intermediate value property refers to the property that a continuous function takes all values between its maximum and minimum value in a closed interval. The intermediate value property states that if f is continuous on the closed interval [a,b], and L is any number between f(a) and f(b), then there exists a point c in (a, b) such that f(c) = L.

For an example of a function defined on [a,b] that is not derivative of any function on [a,b], consider f(x) = |x| on the interval [-1, 1]. This function is not differentiable at x = 0 since the left and right-hand derivatives do not match.

An example of a differentiable function f on [a,b] such that f′ is not continuous is f(x) = x^2 sin(1/x) for x not equal to 0 and f(0) = 0. The derivative f′(x) = 2x sin(1/x) − cos(1/x) for x not equal to 0 and f′(0) = 0. The function f′ is not continuous at x = 0 since f′ oscillates wildly as x approaches 0.


Darboux's Theorem: Let f be a real-valued function on the closed interval [a, b]. Suppose f is differentiable on [a,b]. Then f′ satisfies the intermediate value property.

Proof: Suppose, for the sake of contradiction, that f′ does not satisfy the intermediate value property. Then there exist numbers a < c < b such that f′(c) is strictly between f′(a) and f′(b). Without loss of generality, assume f′(c) is strictly between f′(a) and f′(b).

By the mean value theorem, there exists a number d in (a, c) such that

f′(d) = (f(c) − f(a))/(c − a).

Similarly, there exists a number e in (c, b) such that

f′(e) = (f(b) − f(c))/(b − c).

Now,

(f(c) − f(a))/(c − a) < f′(c) < (f(b) − f(c))/(b − c).

Rearranging terms, we have

(f(c) − f(a))/(c − a) − f′(c) < 0 and (f(b) − f(c))/(b − c) − f′(c) > 0.

Define a new function g on the interval [a, b] by

g(x) = (f(x) − f(a))/(x − a) for x ≠ a and g(a) = f′(a). Then g is continuous on [a, b] and differentiable on (a, b).

By the mean value theorem, there exists a number c in (a, b) such that

g′(c) = (g(b) − g(a))/(b − a) = (f(b) − f(a))/(b − a).

However,

g′(c) = f′′(c), so f′′(c) = (f(b) − f(a))/(b − a).

Since f′′(c) is strictly between (f(c) − f(a))/(c − a) and (f(b) − f(c))/(b − c), we have a contradiction. Therefore, f′ must satisfy the intermediate value property.

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IXL- 8th grade math- W.14

Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial set-up time. If it takes 41 minutes to screen-print a bath of shirts, how many shirts are in the batch?

Answer with the amount of shirts.

Answers

Answer:

There are 37 shirts in the batch.

Step-by-step explanation:

Since it takes an initial 4 minutes to set up the screen-printer, we can subtract 4 from 41 minutes to get the time used to print the shirts.

41 - 4 = 37

Since each shirt requires 1 minute of screen printing and there are 37 minutes, we can divide 37 by 1.

37 / 1 = 37

So there are 37 shirts in this batch. Hope this helps.

What is the value of the expression -218 - 72 - (-5)?

Answers

Answer:

The answer is -285

Step-by-step explanation:

What is the value of the expression -218 - 72 - (-5)?

Which best describes the error in solving the inequality?

Which best describes the error in solving the inequality?

Answers

Answer:

Last bullet point

Step-by-step explanation:

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

\(y = \frac{5}{2} x^{2}\)

Step-by-step explanation:

When you scale a parabola vertically, you multiply the \(x^{2}\) by what you are scaling it vertically by.

For example, say you have  \(y = 8x^{2}\). That means that  \(y = x^{2}\) was scaled vertically by a factor of 8.

I hope this helps!

can someone pls help

can someone pls help

Answers

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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I will mark brainliest if someone can help me with this geometry question

I will mark brainliest if someone can help me with this geometry question

Answers

Answer:

B

Step-by-step explanation:

Since the triangle has 2 equal base angles (45 degrees) and 1 angle is 90 degrees, the triangle is an isosceles right triangle.

We let a be the length of one side of the right angle, so the length of the other side is also a. Applying the Pythagorean theorem we have a^2 + a^2 =14^2 => a=\(7\sqrt{2}\)

We have the area of an equilateral triangle 1/2 the product of the lengths of the 2 sides of the right angle. S=1/2*\(7\sqrt{2} * 7\sqrt{2}\)=49

A fireman’s ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet from the base of the house, how long is the ladder?

Answers

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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A firemans ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet
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Why does excel include so many different ways to execute the same commands ?. Please help i will give brainly According to the Seventh Amendment, people who sue companies for not paying them are guaranteedpayment for their work.representation by lawyers.trials by jury.double jeopardy. Wriye the equation Y=-4/5x-6 6 (20pts): Write the full Verilog code for an eight bit shift register (i.e the carry out is fed back). It has an asynchronous Reset (rset), Clock (clk), Load (1d,. for loading the register with data in a parallel fashion), shift left (sl), and shift right (sr) signals. You must use the given names in the figure. 8 8 D[0:7] Q[0:7] Rotator Shift Register clk rset ld sr sl Why might a metallic compound be mistaken for an ionic compound, based on its physical properties?A. Both metallic and ionic compounds form brittle crystal lattice structures. Thus, they are unable to absorb energy and cannot form new shapes.B. Both metallic and ionic compounds are composed of metal atoms in a bond. However, only ionic compounds show extreme luster.C. Both metallic and ionic compounds form ductile compounds. Thus, they are able to be reshaped without breaking the bond of the compound.D. Both metallic and ionic compounds can conduct electricity when molten. However, only metallic compounds can conduct electricity in a solid state. _____ is a deep-seated sense that forces other than the individual are responsible for what happens in his or her life.A) An external locus of controlB) Tolerance of uncertaintyC) An internal locus of controlD) Tolerance of failure 63. A planned order must be released for manufacture in advance of the requirements by: The lead time The exploded balance The quantity in inventory The safety stock The order quantity Also help with these anyone ?? a gift house allowed 20% discount on the marked price of a doll, 13% VAT was levied on it. If the doll was sold as Rs 1808. What was its marked price? Long term changes in altered ecosystems, such as recovery from a flood or fire, are calledHELP!!! Homework pikcuts Pleas The question is in the picture. PLEASE HELP!!!! Thank you!!!;);) Which set of three angles could represent the interior angles of a triangle?499590, 7200349, 459, 110249, 510, 1545 70, 85 equipment that has been the subject of casualty reporting and is scheduled to be repaired giant overall or some other scheduled availability is an example of which report When and how should internet service providers be allowed to treat some kinds of internet traffic different from others? the physician is communicating to the nurse that a client's eye exam revealed an elongated anterior-posterior eyeball and that images focus in front of the client's retina. the nurse interprets these findings is consistent with which condition? A toy is accidentally dropped by a kid from his roof. The final velocity of the toy before it reached the ground was 8m/s. Find the height of the building. please solve this from which I could understand easily For which set of data are the median and mode the same number? (A) 4, 5, 7, 8, 9, 9 (B) 4, 5, 7, 7, 8, 10 (C) 3, 5, 6, 8, 8, 9 (D) 5, 5, 6, 8, 9, 10 5.6 Suppose that you want to invest for three years to earn the highest possible return. You have three options: (a) Roll over three one-year bonds, which pay interest rates of 8% in the first year, 11% in the second year, and 7% in the third year; (b) buy a two-year bond with a 10% interest rate and then roll over the amount received when that bond matures into a one-year bond with an interest rate of 7%; or (c) buy a three-year bond with an interest rate of 8.5%. Assuming annual compounding, no coupon payments, and no cost of buying or selling bonds, which option should you choose?