evaluate (101.5)²-(100.5)²​

Answers

Answer 1

You can exploit the difference-of-squares identity,

a² - b² = (a - b) (a + b)

Then

101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)

101.5² - 100.5² = 1 * 202

101.5² - 100.5² = 202


Related Questions

-7x(-2) it's multiply and divide integers

Answers

Answer:

14

step by step explanation

-7×(-2)

14

Please help me !! would appreciate

Please help me !! would appreciate

Answers

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

What is a quadrilateral?

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate

Answers

The required white effective interest rate is 0.71% more than his nominal interest rate.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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A data set has 10,000 records and 30 predictor variables (columns). Each variablehas 5% of the values missing for that individual variable. The missing values are spread randomly and independently throughout the data set. The analyst uses apredictive model that automatically drops any row (record) that has even a singlemissing values on any of the variables. How many records would be dropped fromthe analysis

Answers

10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.

1. There are 30 predictor variables.

2. Each variable has 5% of the values missing.

3. 5% of 10,000 records = 500 records.

4. 30 variables x 500 records = 15,000 missing values.

5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.

The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.

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Find the x-intercept and
the y-intercept from the
following linear equation:
7x + 3y = 63

Answers

Answer:

X-intercept is (9,0) and y-intercept is (0,21)

Step-by-step explanation:

X-intercept:

7x+3(0)=63

7x=63

x=9

y-intercept:

7(0)+3y=63

3y=63

y=21

z = 6 + 8i

Use the photo for the answer choices

z = 6 + 8iUse the photo for the answer choices

Answers

r = 10

θ = tan^-1 (4/3)

Radius = 56.00

θ = 27.00o = 0.47 radians

z = 10 × (cos 53°7'48″ + i sin 53°7'48″)

z = 10[cos(53.13) + i sin (53.13]

A seems like the best option

A pair of adjacent angles, whose non-common sides are opposite rays, is known a. (a) adjacent pair. (b) alternate pair. (c) linear pair. (d) common pair.

Answers

The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.

What is a linear pair?When two lines meet at a single point, a pair of linear angles is formed. If the angles at the intersection of the two lines are next to one another, they are said to be linear. The total of the angles in a linear pair is always 180°.Meanwhile, the linear pair is not the only pair of angles. The other pairs are: complementary, supplementary, linear pair, vertically opposite, alternate interior, alternate exterior, corresponding, and adjacent angles.

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T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:

an automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per dozen is cracked. assume that each egg load is an independent event and is distributed according to a binomial distribution. what is the probability that a carton of a dozen eggs results in a complaint? group of answer choices

Answers

The probability that a carton of a dozen eggs results in a complaint is 0.00617.

Given that there is a 1% probability of cracking a egg

Here n=12 and p=0.01

Let X be the no.of cracked eggs per dozen

So, the distribution of cracked eggs per dozen is binomial distribution with parameters n=12 and p=0.01.

The probability that a carton of a dozen eggs results in complaint will be

⇒P [ X > 1 ] = 1 -  P [ X = 0 ] - P [ X = 1 ]

⇒ 1 - 0.99¹² - 12 × 0.01 × 0.99¹¹

⇒6.17 × 10³ = 0.00617

Hence , the probability that a carton of a dozen eggs results in complaint will be  0.00617.

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The expression denotes the z-score with an area of _______ to its right.

Answers

The given expression represents the z-score with an area to its right, indicating the probability of observing a value greater than the z-score.

The z-score, also known as the standard score, measures the distance between a given data point and the mean of a distribution in terms of standard deviations. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting z-score represents the number of standard deviations a data point is away from the mean.

When we refer to the expression denoting the z-score with an area to its right, we are essentially talking about the cumulative probability associated with the z-score. This probability represents the area under the normal distribution curve to the right of the given z-score. In other words, it indicates the likelihood of observing a value greater than the z-score.

By utilizing statistical tables or software, we can determine the exact value of the area or probability associated with a given z-score. This information is useful in various applications, such as hypothesis testing, confidence intervals, and determining percentiles in a distribution. It allows us to make inferences and draw conclusions based on the relative position of a data point within a distribution.

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find the parametric equation of the line through a parallel to b, using t as the parameter. 2 -8 a= b= 5 + (type an integer or a simplified fraction for each matrix element.)

Answers

The Parametric equation is x = 2 + 3t y = -8.

Using the two points as a starting point, we can get the vector equation of the line by first locating the direction vector and then adding it to one of the points to obtain the general equation.

Subtracting the two points yields the direction vector:

b - a = (5, -8) - (2, -8) = (3, 0) (3, 0)

The direction vector is then added to one of the points, and t is used as the parameter to find the general equation of the line through point a parallel to point b:

x = 2 + 3t

y = -8

Therefore, x = 2 + 3t y = -8 is the parametric equation of the line through point a parallel to point b.

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Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.



If n is "the number," which equation could be used to solve for the number?

4(3 + n) = n + 18
3(4 + n) = n + 18
3 n + 4 = n + 18

Answers

Answer:

it is the second choice, because if you read the questions out loud then the second one is the way you would read it.

Answer:

n = 3

Step-by-step explanation:

\(3(4 + n) = n + 18 \\ 12 + 3n = n + 18 \\ 2n = 6 \\ n = 3\)

What does it mean for data to have variability as it refers to statistical questions? Give an example

Answers

Answer:

The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.

Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.

Variability is also referred to as spread, scatter or dispersion.

Example:

The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.

HELP DUE IN 5 MINUTES!!!!

Find the slope of a roof of a home that rises 6 feet for every horizontal change of 24 feet.

O -4
0 1
0 4
O None of the above

Answers

So it’s rise over run meaning 6/24 and if you divide that it will be 4 so the answer might be 4

29,30,32,35,39,\ Which is the next number in this pattern?
A) 42
B) 43
C) 44
D) 45
E) 46

Answers

Answer:

Step-by-step explanation:

It is a pattern of adding numbers like the first one is 29 add 1 = 30 add 2 = 32

Add 3 = 35 add 35 + 4 = 39 add 5 = 44

Option C 44 is the correct answer

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8.5 mi^2/hr. How rapidly is radius of the spill increasing when the area is 7 mi^2?

Answers

To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.

Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.

We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)

Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr

Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.

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Select all expressions equivalent to (2^-3.2^4)^-2

Select all expressions equivalent to (2^-3.2^4)^-2

Answers

Answer:1/4

Step-by-step explanation:

(2^-3.2^4)^-2

2^-2

1/2^2

1/4

2^-2
1/2^2
1/4
therefore your answer is 1/4

Peter has to subtract (x² - 2x - 4) from (x² + 3x + 5)
Here is his working
(x² + 3x + 5) - (x² - 2x - 4)
= x² + 3x +5-x² - 2x - 4
= x + 1
Explain what is wrong with Peter's working.

Answers

Answer:

Grouping of like terms.

Step-by-step explanation:

(x² - 2x - 4) - (x² + 3x + 5)

= x² - 2x - 4 - x² + 3x + 5

Grouping of like terms

= x² - x² - 2x + 3x- 4 + 5

= x + 1.

Its not a quiz/test its homework thats due in a bit :)

Just to clear any misunderstandings that might arise

Its not a quiz/test its homework thats due in a bit :)Just to clear any misunderstandings that might

Answers

Answer:

x = 10

angle top = 118°

angle bottom = 62°

Step-by-step explanation:

6x + 2 + 11x + 8 = 180

17x + 10 = 180

17x = 170

divide both sides by 17.

x = 10

plug in the 10 to each equation to get the number for the angle

6(10) + 2 = 62°

11(10) + 8 = 118°

AAAA HEL;P[ PLEASE JHSKJHKDJS

AAAA HEL;P[ PLEASE JHSKJHKDJS

Answers

Answer:

c

Step-by-step explanation:

Answer:

for sure the third one i did the test

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each situation to its corresponding expression.

Answers

Answer:

I mean how can I answer this???????????????????????

(Help ASAP PLEAS) "You are shipping a puzzle cube to your friend using the cube-shaped box shown. What is the difference between the height of the puzzle cube and the top of the box when you place the cube in the box?"

(Help ASAP PLEAS) "You are shipping a puzzle cube to your friend using the cube-shaped box shown. What

Answers

Answer:

  0.3 cm

Step-by-step explanation:

You want the difference in dimensions between a cube that has a volume of 216 cm³, and one that is 5.7 cm on a side.

Volume

The volume of the box is given by the formula ...

  V = s³ . . . . . . where s is the side length

Using this, we can find the side length to be ...

  x = ∛V = ∛(216 cm³) = 6 cm

Space

The difference in height of the two cubes is ...

  6 cm - 5.7 cm = 0.3 cm

There will be about 0.3 cm between the puzzle cube and the top of the box.

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im really stuck on this one
Multiply. -3w^8(-9w)
Simplify your answer as much as possible.

im really stuck on this oneMultiply. -3w^8(-9w) Simplify your answer as much as possible.

Answers

The value of the product expression -3w⁸(-9w) is 27w⁹

How to evaluate the products?

From the question, we have the following product expression that can be used in our computation:

-3w^8(-9w)

Rewrite the expression properly

This is represented as

-3w⁸(-9w)

Remove the bracket

So, we have the following representation

-3w⁸(-9w) = -3w⁸ * -9w

Evaluate the product of the constants

-3w⁸(-9w) = 27w⁸ * w

Evaluate the product of the variables

-3w⁸(-9w) = 27w⁹

Hence, the product is 27w⁹

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5x + y = 2 what is x and y equal to

Answers

The sentence that translates the linear equation 5 · x + y = 2 is: The sum of five times x plus y equals 2.

How to interpret a linear equation

Herein we find the mathematical definition of a linear equation of the form a · x + b · y = c, where a, b, c are real coefficients. This equation must be translated into human language, that is, a complete sentence in order to respond this question. Therefore, the expression can be translated as follows:

5 · x + y = 2: The sum of five times x plus y equals 2.

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Using off-colored language in your speech is almost always a bad choice for all of the following reasons except ________.
a. when we speak in public, we model how we think people ought to speak in public
b. your off-colored language sets you apart from other public speakers, which will make you more memorable
c. many people see the use of foul language as a sign of disrespect toward the audience
d. you can't know in advance the extent to which rude epithets might undermine your credibility with your audience members

Answers

Using off-colored language in speech is almost always a bad choice for the following reasons: it models inappropriate language in public, sets the speaker apart from other public speakers, and can be seen as disrespectful towards the audience.

However, one exception to this is that it cannot be known in advance to what extent the use of rude epithets might undermine the speaker's credibility with audience members. Using off-colored language in public speech is generally discouraged because it models inappropriate language and behavior. When we speak in public, we serve as models for how people ought to speak in public settings. By using foul language, we contribute to a culture of disrespectful and offensive communication, which is not conducive to maintaining a professional or respectful environment. Furthermore, the use of off-colored language can make a speaker stand out in a negative way. Public speakers often aim to be memorable for their ideas, expertise, and ability to engage the audience, rather than for their use of inappropriate language. By resorting to offensive language, a speaker risks being remembered primarily for their choice of words rather than the substance of their message. In addition, many people view the use of foul language as a sign of disrespect towards the audience. Such language can alienate listeners and create a sense of discomfort or offense. Public speaking is about establishing a connection with the audience, and using offensive language undermines this connection by conveying a lack of respect for the audience's sensibilities. However, there is one exception to the negative consequences of off-colored language in speech. It is difficult to predict in advance the extent to which the use of rude epithets might undermine a speaker's credibility with audience members. While it is generally advisable to avoid offensive language, there may be situations or specific audiences where the use of certain language is deemed acceptable or even expected. Nonetheless, it is crucial to exercise caution and consider the potential risks before deviating from appropriate and respectful speech.

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kelly earns $288 during her first 8 hour shift. how much would kelly earn on a full paycheck of 36 hours? interpret your answer.

Answers

Answer:

$1,296

Step-by-step explanation:

kelly earns $288 during her first 8 hour shift. how much would kelly earn on a full paycheck of 36 hours? interpret your answer.

288/8 = $36 per hour

If she worked 36 hours at $36 per hour:

36* $36 = $1,296

Three of the angles of a quadrilateral are each 95º. Find the fourth angle.​

Answers

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

Calculate the area of the regular pentagon.

Calculate the area of the regular pentagon.

Answers

The area of the regular pentagon is 252.7m²

How to determine the value

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

's' is the side of the pentagon 'a' is the apothem length.

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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in the equation y=2x+1 what is true about the slope
1. there is no slope

2. the rise is 1 and the run is 2

3. the rise is 2 and the run is 1

4. there is a zero slope

Answers

the answer is 3 !!!!!!!!

Find different ways to write "-3(2x-8+5x)"

Answers

= -3(7x - 8)
= -21x + 24
= 24 - 21x [this is better than the second one as it doesn’t start with a negative]
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