simplify the expression 14x^-2 for x is 7

Answers

Answer 1

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  [tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]


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Answers

what is your question ?

i don't understand

I am stuck on a question I would like some help with

Answers

Answer:

m<3 = 80

Step-by-step explanation:

We know that the sum of all the angles in a triangle is 180.

Thus, we can find the m<3 using the equation 180 - (70 + 30) = m<3

Simplifying gives us m<3 = 80

Answer:

B .80

Step-by-step explanation:

all interior angles in a triangle=180

180-(70+30)

180-100

=80

hey peeps help with this

Answers

25 because since they are the same angle because they are Alternate interior angles they are the same so you set it up as 50 = 2x the. Do 50 divided by 2 and you get X = 25

WILL MARK YOU BRAINLIEST!!

Bananas are 3 for a dollar. Jen has $3. How many bananas can Jen buy?

Answers

1 dollar for 3 bananas

so with

3 dollars we will get 3x3 = 9 bananas

If her income is 210 marks, how many bananas can she buy if ... is 4 dollars each and the cost of bananas is 3 dollars per bunch.

Step-by-step explanation:

please help MEEE i need this to be done

Answers

Answer:

NO

Step-by-step explanation:

There is an odd number of students so one team would have 7 students while the other would have only 6

Answer:

Step-by-step explanation:

No she can't divide them equally because the total of the both classes is 13 which is an odd number and it is not possible  to divide an old number equally.

Hope this helps

Find the value:

cos -1 ( - √3/2 )

Answers

Answer:

The value is undefined.

The mixed number 1 2/5 and the decimal number 1.4 can be used to represent the same value.

True or False

Answers

true
1 2/5 =1.4
2 divided by 5 is .4
plus the 1
1.4 = 1.4

B – 4 1/4 = 2 2/3 what is B?

Answers

Answer:

83/12

Step-by-step explanation:

To find B, simply add 4 1/4 to 2 2/3.

Hope that helps!

7/3 is the answer
100% sure

A(n) ____________ is a metric unit used to measure mass.
A) liter
B) inch
C) meter
D) gram

Answers

The answer is D) gram
D. Grams is used to measure mass

Natalie painted three portraits of a 15 minutes at that rate how many would she paint in 10 minutes

Answers

Answer:

2 portraits

Step-by-step explanation:

since she painted 3 in 15 minutes, it means that she took 5 minutes on each portrait. If Natalie were to paint portraits for 10 minutes she would paint 2 portraits

3p in 15min = 1p in 5min = 2p in 10min



I need help on this problem

Answers

Answer:

D

Step-by-step explanation:

Variables y and x have a proportional relationship, where y = 18 when x = 2.


What is the value of x when y = 36?

Answers

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

Given that:

[tex]y \propto x[/tex]

Converting proportionality into equality

[tex]y = kx[/tex] ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

[tex]\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}[/tex]

Now,

x = ? when y = 36

Put it in Eq. (1)

[tex]36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}[/tex]

15/20 + 12 /20 = 27/20 =

Answers

Answer:

1  7/20

Step-by-step explanation:

So, you added the 15/20 and 12/20 to get 27/20

Then to simplify 27/20 you have to see how many times 27 can go into 20

27 can go into 20 with a remainder of 7 which then will lead you to the answer of 1 7/20 and you can't simplify it anymore.

Hopefully, that helps.

what is the slope of a line that is perpendiculer to y=2/9x+9/2?

Answers

Answer:

Step-by-step explanation:

the slope of a line that is perpendicular is -9/2

A statistics teacher gives a multiple-choice exam with 20 questions. The teacher wants to discourage guessing on the exam, so for each question the student earns 1 point for a correct answer, 0 points for no answer, and -1 point for a wrong answer. Consequently, if a student answered every question incorrectly the student would earn a score of -20 on the exam. However, if a student answered every question correctly, the student would earn a score of 20 on the exam. After the exam, the teacher distributes the list of test scores and asks the class to calculate the standard deviation. The first student to finish the calculations says that the standard deviation is -1.8.

a. True
b. False

Answers

Answer:

b. False

Step-by-step explanation:

The answer is false because the standard deviation was miscalculated.

We can compute the formula for calculating the standard deviation as:

[tex]\sigma = \sqrt{\dfrac{\sum (x_i-\overline x)^2}{n}}[/tex]

As a result of the  square in the numerator of the summation, the square [tex]\sum (x_i-\overline x)^2[/tex]   is usually non-negative.

Even if the data is positive, negative or zero, as a result of the above claim, the standard deviation is always non-negative.

Thus, the fact that the first student who finishes the calculation first and claim that the standard deviation is -1.8 is false.

The following is an excerpt from a paper published in BMJ (formerly the British Medical Journal) in 1994:

Charig et al undertook a historical comparison of success rates in removing kidney stones. Open surgery had a success rate of 78% (273/350) while a minimally invasive procedure called percutaneous nephrolithotomy had a success rate of 83% (289/350), an improvement over the use of open surgery. However, the success rates looked rather different when stone diameter was taken into account. This showed that, for stones of <2 cm, 93% (81/87) of cases of open surgery were successful compared with just 83% (234/270) of cases of percutaneous nephrolithotomy. Likewise, for stones of >/=2 cm, success rates of 73% (192/263) and 69% (55/80) were observed for open surgery and percutaneous nephrolithotomy respectively.

The main reason why the success rate reversed is because the probability of having open surgery or percutaneousnephrolithotomy varied according to the diameter of the stones. In observational (nonrandomized) studiescomparing treatments it is likely that the initial choice of treatment would have been influenced by patients'characteristics such as age or severity of condition; so any difference between treatments could be accounted for bythese original factors. Such a situation may arise when a new treatment is being phased in over time. Randomizedtrials are therefore necessary to demonstrate any treatment effect.

This is an example of Simpson's paradox because:

a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
b. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).
c. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
d. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).

Answers

Answer: a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).

Step-by-step explanation: Simpson's Paradox happens when a group of data shows a relationship in each group but it is reversed when the group is combined.

In the BMJ paper, percutaneous nephrolithotomy had a bigger successful rate than open surgery. But, the rates are reversed when the diameter (size) of the stone is included in the research. So, an individual group of data had a relationship and a factor reversed the relationship. This is an example of Simpson's Paradox.

Excerpt form the paper in BMJ.

The excerpt is taken from the paper that got published in the british medical journal of 1994. Ths journal was understand for a historical comparison of the success rates in kidney stone removal. As the success rate of the surgery was about 83%.

Hence the answer is lurking variable is introduced, the conclusions are reversed.

As per the excerpt of the Simpsons paradox the  such as rate of 78% and minimal invasive procedure called the percutaneous has a success rate of 83% thus better over open surgery.Thus the option A is correct. The variable size of stone and conclusion was the opposite.

Learn more about the  undertook a historical.

brainly.com/question/12653054.

Write an inequality that represents the verbal expression.
3 more than a number tis greater than or equal to 21.

Answers

Answer:

3x≥21

Step-by-step explanation:

need help asap Write the equation of a line passing through the points(-6, -2) and (4, -12) in slope intercept form​

Answers

Answer:

y=-1x-8

Step-by-step explanation:

In women's softball the pitcher stands about 13 meters from the batter's box. In men's softball the pitcher stands about 1,400 centimeters from the batter's box. About how many more centimeters is it from the men's pitcher to the batter's box than from the women's pitcher to the batter's box? ​

Answers

Answer:

About 100 centimeters.

Step-by-step explanation:

1,400 - (13 * 100) = 100

Which expression is equivalent to 5( 9 + 7)

Answers

52 maybe I think it is

Answer:80

Step-by-step explanation: Distribute the 5 to the 9 and 7 to get 35+45 and add to get 80

Simplify 3 - 2 / 4/5 + 1/2 ​

Answers

Answer:

1

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

1

Step-by-step explanation:

Division first

2÷4/5= 2 1/2

3-2 1/2= 1/2

1/2+1/2=1

A point has the coordinates (m, 0) and m ≠ 0.

Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x

Answers

Therefore the reflection of the point (m,0)and m≠0 will produce an image located at (0,-m) when reflection occurs across the line y=(-x).

Answer:

a reflection of the point across the line y = –x

Step-by-step explanation:

Let m = 5.

Graph (5, 0).

Then graph (0, -5).

Then draw the line y = -x.

You will see that the line y = -x is the axis of symmetry for the two points.

Answer:

a reflection of the point across the line y = –x

triangle BCD is a right triangle the length of the hypotenuse is 20 cm the length of one of the legs is 15 cm what is the length of the other leg​

Answers

Answer:

13.22

Step-by-step explanation:

The eqtn is

hypotenuse^2 = leg^2 + leg^2

20^2 = 15^2 + L^2

400 = 225 + L^2

L^2 = 400 - 225 = 175

L = √175 = 13.22

Prove triangle congruence.

Answers

Answer:

Step-by-step explanation:

Soccer cleats cost $45.52 per pair. How much will it cost for four pairs?

Answers

Answer:

182.08

Step-by-step explanation:

In a probability​ histogram, there is a correspondence between​?

Answers

math lots of circle 368+355 i round history grams

A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to the nearest tenths place

Answers

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

please help me figure out how to solve the problem below:

the problem below is asking how to find the surface area of the cylinder. please leave an explanation on how to solve it.

formula: 2(3.14)(r)^2 + 2(3.14)(r)
r: radius ​

Answers

Answer:

3315.84mm^2.

Step-by-step explanation:

We calculate the diameter of the base of the cylinder using Pythagoras:

40^2 = d^2 + 32^2

d^2 = 40^2 - 32^2 = 576

d = sqrt 576 = 24 mm.

So the radius = 1/2 diameter = 12 mm.

The surface area

= 2(3.14)(12)^2 + 2(3.14)(12)(32)

= 904.32 + 2411.52

= 3315.84.

A country’s population in 1991 Was 211 million in 1998 it was 215 million estimate the population in 2012 using the exponential growth formula

Answers

Answer:

The population in 2012 is estimated in approximately 223 million people

Step-by-step explanation:

Exponential Growth

The formula for exponential growth of a variable P at the growth rate r, as time t goes on in discrete intervals, or at integer times 0, 1, 2, 3, ..., is :

[tex]\displaystyle P(t)=P_0(1+r)^{t}[/tex]

Where Po is the value of P at time 0.

The country’s population in 1991 was 211 million, and in 1998 it was 215 million. We have two discrete times to define the equation and set the year 1991 as t=0. Thus, the year 1998 is t=7.

The preliminary equation is:

[tex]\displaystyle P(t)=211(1+r)^{t}[/tex]

To find the value of 1+r, we use the second point (7,215):

[tex]\displaystyle 215=211(1+r)^{7}[/tex]

Dividing by 211:

[tex]\displaystyle \frac{215}{211}=(1+r)^{7}[/tex]

Solving:

[tex]\displaystyle (1+r)=\sqrt[7]{\frac{215}{211}}[/tex]

Calculating:

[tex](1+r)=1.002686[/tex]

The complete equation is:

[tex]\displaystyle P(t)=211(1.002686)^{t}[/tex]

Estimate the population in 2012 (t=21):

[tex]\displaystyle P(21)=211(1.002686)^{21}[/tex]

[tex]P(21)\approx 223[/tex]

The population in 2012 is estimated in approximately 223 million people

Help pls!! Determine whether each value is greater for function Q, the same for both functions, or greater for function R

Answers

The following conclusion about both functions are:

The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).

What is a Linear Function?

A linear function is modelled as, y = mx + b

b is initial valuem is the rate of change = change in y/change in x.

Function Q:

y = 3x - 2

Initial value (b) = -2

Rate of change (m) = 3

Function R:

Initial value = 3

Rate of change = 1/3

Therefore, the following conclusion about both functions can be made:

The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).

Learn more about linear functions on:

https://brainly.com/question/1254134

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