PLEASE HELP
what is the value of x? justify each step
AC= 32

PLEASE HELPwhat Is The Value Of X? Justify Each StepAC= 32

Answers

Answer 1

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column.

Explain about the value?

Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.

X has a value of 3. The following is a list of the arguments made for each step.

Adding more line segments

Rule of substitution (b)

c) Simplifying by incorporating related terms

d) Compiling terms for lies

e) Multiplying each side by 8

AB = 2x

BC = 6x + 8

AC = 32

AB plus BC equals AC. (Extension rule)

addition of a line's individual segments

2x + 6x + 8 = 32 (Substitution rule) (Substitution rule)

replacing AB, BC, and AC in the formula AB + BC = AC

8x + 8 = 32 (Simplification) (Simplification)

2x + 6x + 8 = 32, simplified adding comparable terms

8x = 24 (Assembling similar terms)

8x = 32 - 8

8x = 24

x = 3 (Divide both sides by 8) (Divide both sides by 8)

8x / 8 = 24/8

x = 3

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Related Questions

question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply.

Answers

The sampling strategy used in this problem is an example of:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.

What is sampling?

Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.

The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;

In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.

In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.

What is the missing information?

The options are given as follows:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.Failing to reward customers for participating in the survey.Failing to collect data anonymously.

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Which graph does not represent a function?

Answers

Answer: c

Step-by-step explanation:

Elliptical graphs fail the vertical line test as they have same x and y values at some places. Thus elliptical graph is not a function

is 12 an integer? Im getting confused answers

Answers

The answer is 3 or c

Answer:

Yes 12 is an Integer

Step-by-step explanation:

12 is a whole number that can be written without a fractional component, thus 12 is an integer.

Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below.

The answer is A Reflection
This question is answered

Answers

Since Carrie wants to make a wallpaper border to go around the top of her room. She wants the border to look something like the illustration below. This is a Reflection

What is transformation?

A transformation is an operation that is performed on a picture. Transformations are classified into four types: translations, reflections, dilations, and rotations. In transformations, reflections are achieved by flipping a shape or figure across a line of reflection, a point of reflection, or a plane of reflection.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.

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Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?

Answers

If 7 out of every 12 coins are nickles (7/12) and 3 out of every 12 coins are dimes (3/12), there has to be 2 quarters out of every 12 coins (2/12)

Now, the ratio would be:

[tex]7\colon3\colon2[/tex]

Write the sum of (4 × 10³) + (3.2 × 10¹) in scientific notation.
A) 43.2 x 104
B 4.32 x 105
C) 43.2 x 105
D) 7.2 x 10¹

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(4\times10^3) + (3.2\times 10^1)}[/tex]

[tex]\mathsf{= 4\times10^3 + 3.2\times 10^1}[/tex]

[tex]\mathsf{= 4\times10\times10\times10 + 3.2\times10}[/tex]

[tex]\mathsf{= 4\times100\times10 + 3.2\times10}[/tex]

[tex]\mathsf{= 4\times1,000 + 3.2\times10}[/tex]

[tex]\mathsf{= 4,000 + 32}[/tex]

[tex]\mathsf{= 4,032}[/tex]

[tex]\mathsf{\approx 4.032\times10^3}[/tex]

[tex]\huge\text{Thus, your answer SHOULD be: \boxed{\mathsf{4.032\times10^3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

assume that for any given day, the probability of a sunny day is 80%, the probability of getting free pizza is 30%, and the probability of getting free pizza on a sunny day is 35%. a. what is the probability of a less than ideal day (no free pizza and no sun)?

Answers

The probability of a less-than-ideal day (no free pizza and no sun) is 0.25

Let us define the events from the example.

Let event A: Sunny day for any given day

event B: Getting free pizza for any given day.

Now, we will translate the word problem into our symbols.

The probability of a sunny day is 80% i.e P(A)=0.8

The probability of free getting pizza is 30% i.e. P(B) = 0.3

The probability of free pizza and a sunny day is 35% .i.e P(A∩B) = 0.35

a)Complement means not happening an event i.e. event A’ : No sunny day for any given day event B’: Not getting day free pizza for any given.

Here dash ( ‘ ) complement.

The probability of a less-than-ideal day

(no free pizza and no sun) is

P(A'∩B') = P(A∪B)'... (De Morgan's Jaw)

De Morgan's law: (A∩B)'= A'∪B'

                             (A∪B)’ = A'∩B'

P(A'∩B') = 1-P(A∪B)    (P(A) = 1-P(A)).

= 1-[P(A) + P(B)-P(A∩B)]

= 1-[0.8+0.3-0.35]

P(A'∩B') = 0·25

The probability of a less-than-ideal day (no free pizza and no sun) is 0.25.

b)To check whether free pizza and sun are independent events or not, let us see when two events are said to be independent.

Two events (A & b) are said to be independent if P(A∩B) = P(A)· P(B)

Let us check whether this property satisfies our case or not.

LHS = P(A∩B)=0.35

RHS= P(A) P(B)

= 0.8 x 0.3

RHS = 0.24.

LHS ≠ RHS

P(ANB) ≠ P(A). P(B) in our case.

Two events A and B are not independent in our case

Sun and free pizza are not independent events.

c)Probability of no free pizza on a sunny day is P(A∩B').

P(A∩B') = P(A) - P(A∩B) = 0.8 0.35

P(A∩B') = 0·45

The probability of no free pizza on a sunny day is 0.45

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How to solve 9/10 x 5/2 -5/4

Answers

The solution for the given algebraic expression is 1.

Is there any order to solve Math Operations?

Yes, there is. When you solve any Math Operations, it is necessary to be attentive to the order of the solution.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

Parentheses Exponents Multiplication or Division from left to right Addition or Subctration from left to right

The question gives:

9/10 x 5/2 -5/4

Following the order of operations:

Multiply from left to right

        9/10 * 5/2 = 45/20

Simplifying

             [tex]\frac{45:5}{20:5} =\frac{9}{4}[/tex]

Subtract from left to right

     

     9/4 - 5/4 = 4/4 =1

       

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stephan is reviewing the data on product returns for an online retailer. thus far, 3.5% of all sold units were returned. if stephan takes 200 sold unit records, what is the probability that at most 6 units were returned?

Answers

3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

Given that,

For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.

We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.

From binomial,

Binomial to normal approximations without continuity factor Sample size ,

n = 200

Probability of an event of interest,  

p = 0.035  

P(0<=n<=2)

=0.7323

Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

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using a survey, we have obtained a large dataset of how many close friends people have. its mean is 7 and its median is 4. the variance is 100. we calculate the standard scores. what is the value of the median of the standardized dataset? group of answer choices

Answers

For the standardized dataset , the value of median = mean , which is equal to 7

The mean of the close friends people have = 7

The variance = 100

Standard deviation can be found using the formula

                   v = σ²

where  v is the variance and

            σ is the standard deviation

Then ,                  σ² = 100

                            σ  = √100

                            σ  = 10

Therefore , the standard deviation for the close friends have is 10

The standard score for these vales can be found using the formula

                         Z = (X - μ) / σ

where Z is the standard score

           X is the raw score

           μ is the mean

           σ is the standard deviation

Using this formula, the standard score of any raw score can be calculated.

For, the standardized dataset , the value of median will be equal to value of median.

                           Median = mean

                           Median = 7

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find the Length of an arcade of a circle whose central angle is 212° and radius is 5.3 inches. round your answer to the nearest tenth.

Answers

The length of the arc of the circle is 19.6 inches

We can find the length of the arc using the formula;

[tex]L\text{ = }\frac{\theta}{360}\text{ }\times\text{ 2}\pi r[/tex]

where ;

[tex]\begin{gathered} \theta\text{ is central angle which is 212} \\ r\text{ is radius which is 5.3 inches} \end{gathered}[/tex]

Substituting these values;

[tex]\begin{gathered} L\text{ = }\frac{212}{360}\text{ }\times\text{ 2 }\times\frac{22}{7}\text{ }\times\text{ 5.3} \\ \\ L\text{ = 19.618413} \\ \\ To\text{ the nearest tenth, this is 19.6 inches} \end{gathered}[/tex]

write the following statements as an algebraic expression or equation.you have twice as many apples as bananas.the choices are in the picture

Answers

ok

apples = a

babanas = b

a = 2b

May Someone Please Give Me The Answers To The Problems I Haven’t Done (Please Mark Which Ones They Are)Thank You!!

Answers

The simplest form of the ratios are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

What are ratios?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).


So, the ratios in the simplest form are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

We can observe that the simplest form of all the ratios is similar which is 3.

Therefore, the simplest form of the ratios are:

(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3

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The dial on a combination lock contains markings which represent the numbers from 0 to 39. How many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?.

Answers

There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Solve for .
4x4<8 AND 9x + 5 > 23

Answers

Answer:

solve for what? x or y? or anything another

Step-by-step explanation:

if x

1.

[tex] - \sqrt[4]{2} \sqrt[4]{2} [/tex]

2.

[tex]x = (2 \: or \: \infty )[/tex]

so hope it help

Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?

Answers

The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:

3x + 5y = 1.75

x = xylobars

y = yackities

Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:

4x + y = 1.88

Equate the equations and this will be:

4x + y = 1.88 ....... i

3x + 5y = 1.75 .... ii

From equation i y = 1.88 - 4x

Put this into equation ii

3x + 5y = 1.75

3x + 5(1.88 - 4x) = 1.75

3x + 9.4 - 30x = 1.75

Collect like terms

3x - 30x = 1.75 - 9.4

-27x = -7.65

Divide

x = 7.65 / 27

x = 0.283

xylobars = 0.283

Since 4x + y = 1.88

4(0.283) + y = 1.88

1.132 + y = 1.88

y = 1.88 - 1.132

y = 0.748

The cost for 1 xylobar and 2 yakities will be:

x + 2y

0.283 + 2(0.748)

= 0.283 + 1.496

= 1.779

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Is 4 a factor of 64? How do you know?

Answers

Answer: yes

Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .

Factors of 64 are the list of integers that can be evenly divided into 64. There are overall 7 factors of 64 i.e. 1, 2, 4, 8, 16, 32, and 64 where 64 is the biggest factor. The Prime Factors of 64 are 1, 2, 4, 8, 16, 32, 64 and its Factors in Pairs are (1, 64), (2, 32), (4, 16), and (8, 8).

Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99.

Answers

The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the premium skins be p.

Let the number of tools be t.

This will be illustrated as:

(2.99 × p) + (4.99 × t) = 25

2.99p + 4.99t = 25

This illustrates the equation.

The complete question is given below.

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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?

PLEEEEASE ANSWER ASSAP

Subtract and simplify:

812 − 523 = _____

Answers

289 is the answer to this problem

Answer:

Step-by-step explanation: 812 - 523 = 289

Miss Davidson ran a sit-up competition among her P.E. students and monitored how many sit-ups each student could do. Number of sit-ups Number of students 76 3 79 5 175 2 X is the number of sit-ups that a randomly chosen student did. What is the expected value of X? Write your answer as a decimal.

Answers

Let the total number students be s. Then

s = 3 + 5 + 2= 10

x | Number of students(n) | Pr(x) | xPr(x)

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

76 | 3 | 0.3 | 22.8

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

79 | 5 | 0.5 | 39.5

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

175 | 2 | 0.2 | 35

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

[tex]\sum \text{xPr(x) = 22.8 + 39.5 }+\text{ 35 = 97.3}[/tex][tex]\text{ The expected value is }\sum \text{xPr(x)}[/tex]

Therefore, the expected value of x is 97.3

A parabola can be drawn given a focus of (7,-3) and a directrix of y=-7. Write
the equation of the parabola in any form.

Answers

Y=8 and there it what is you are looking for your welcome

NEEd HELP 9th grade asp

Answers

Answer:175/48

Step-by-step explanation:

can you please help me

Answers

We have to calculate the area and perimeter of ABC.

Area:

We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.

The area of ABD is:

[tex]A_{\text{ABD}}=\frac{b\cdot h}{2}=\frac{(15+5)\cdot12}{2}=\frac{20\cdot12}{2}=\frac{240}{2}=120[/tex]

The area of BCD is:

[tex]A_{\text{BCD}}=\frac{b\cdot h}{2}=\frac{5\cdot12}{2}=\frac{60}{2}=30[/tex]

Then, the area of ABC is:

[tex]A_{\text{ABC}}=A_{\text{ABD}}-A_{\text{BCD}}=120-30=90[/tex]

The area of ABC is 90 cm^2.

Perimeter:

We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).

The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:

[tex]\begin{gathered} BC^2=CD^2+BD^2=5^2+12^2=25+144=169 \\ BC=\sqrt[]{169}=13 \end{gathered}[/tex]

Now, we can calculate the perimeter as:

[tex]P_{\text{ABC}}=AB+BC+AC=25+13+15=53[/tex]

The perimeter is 53 cm.

What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.

Answers

Answer:

The slope is undefined

Step-by-step explanation:

an opinion poll of 4,000 (randomly selected) voters is con- ducted. the fraction of all voters in the population with an annual income above $50,000 is 35%. what is the chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled?

Answers

4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted

What is probabilty ?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

We have,

n = 4000

p = 0.35 , q=1-p=0.65

= E(X) = np= 4000 (0.35) 600 1400

6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662

Consider

P(X[tex]\geq[/tex]1450) = p 7

X-U

1450 1400

30.1662

=P(z>1,66)

=0.048457

from standard normal table,

Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled

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In a certain tourism destination, 28% of the city's residents work in the hospitality industry. 55% of residents are age 40 or younger, and 15% of residents are people age 40 or younger who work in the hospitality industry. What percentage of the employed population are people older than 40 who do not work in the hospitality industry?

A. 13%
B. 17%
C. 32%
D. 45%

Answers

The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.

How to calculate the percentage?

The city's residents work in the hospitality industry = 28%

The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%

Those who work in the hospitality industry that are younger than 40% = 15%

Therefore, those that don't work in the industry will be:

Percentage of 40 or older - Percentage of those working

= (100 - 55%) - 28%

= 45% - 28%

= 17%

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he altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.000 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.500 centimeters and the area is 88.000 square centimeters?

Answers

The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].

What is meant by the altitude of a triangle?

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.

A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

Let A be the  area of the triangle

h be the altitude

b be the base

The formula that relates the three is the area of a triangle

A = (1/2) bh

Note that anything listed as a "rate" is a derivative value.

dh (rate of change of altitude) = 3.000 cm/min

dA (rate of change of area) = 4 cm²/min

h = 9.500 cm

A = 88.000 cm²

Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.

dA = (1/2) × db × h + (1/2)b × dh

substitute the values in the above equation, we get

4 = (1/2) × db × 9.5 + (1/2) b × 3.000

88 = (1/2) × b × 9.5

b = 18.52631

Now, looking back at our derivative

4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000

simplifying the above equation, we get

4 = 4.75 db + 13.26316

b =[tex]$ -\frac{9.26316}{4.75d}[/tex]

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Approximate the value of each irrational number. Explain your reasoning.
Part A
√30

Answers

5 because the square root of 30 is 5.47777 so round that down to 5
The square root of 30 is approximately 5.5.

To find the square root, we need to find out what number(s) can be multiplied by themselves to equal 30.

5 • 5 = 25

6 • 6 = 36

Because 30 is between 25 and 36, we know that the square root of 30 is between 5 and 6.

When we multiply 5 and 6 by themselves to find their square, we will find that 30 lies about halfway between 25 and 36. Upon calculation, the square root of 30 is 5.47, which to the nearest tenth is 5.5.

The square root of 30 ≈ 5.5.

Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. A6x−2B12x−4C8x^2+4x−24D12x^2+20

Answers

The perimeter of a rectangular garden with width w = 4x - 6 and length l = 2x + 4 is given by: 2w + 2l = 2(4x - 6) + 2(2x + 4) = 8x - 12 + 4x + 8 = 12x - 4

Answer: option B

Which of the following best estimates the sum 1 1 2 3 B 0.5 0.8

Answers

we have

1/2 +1/3

Remember that

1/2=0.5

1/3=0.33 -----> rounded 0.3

so

0.5+0.3=0.80

Answer: please help

Step-by-step explanation: I don’t know what the answer is I need help

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rupesh is a network technician who has been tasked by his supervisor to configure the edge firewall of an office branch. his task is to focus on outbound traffic based on several factors, such as domain name, url, file extension, and certain keywords. what is he configuring the firewall to perform? Which word best completes the sentence?Select the word from the drop-down menu.The apparent Choose... of the gymnasts was due to their constant training.A. facilityB. ineptnessC. unstylishnessD. weakness missy is assessing global entry strategies for her organic yogurt shops. she does not want to take a lot of risk and is willing to limit her control of international stores. missy will most likely use a(n) blank strategy. A popcorn stand offers buttered or unbuttered popcorn in three sizes: small, medium, and large. What is the P(buttered) provide evidence that this function is not one to one. explain how your evidence supports that g(x) is not one to one A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.Glacial MovementDistance Moved (inches)Time(hours)0.310.620.93x4What value of x completes the table?1.21.53.613.3 A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t) = (944)3 t/3, where t represents the number ofyears from the time of introduction.What is the tripling-time for this population of deer? I would like to create crossword puzzles in Java. Two 4X4 and two 6X6 puzzles. How do I go about it? This probability distribution shows thetypical grade distribution for a Geometrycourse with 35 students.GradeEnter a decimal rounded to the nearest hundredth.Enter which one of the following insurance policy provisions requires the insured to pay for part of the loss if the property is not insured for the specified percentage of replacement value? group of answer choices personal property floater an endorsement coinsurance clause umbrella coverage assigned risk clause Solve.(3.3 10) (2 10) Help me please what is the probability of all the letters? help meeeee pleaseeeee!!!thank you I think of a number.I add 5 to it and then double the result.I then subtract 10 from this answer.I then subtract the original number I thought of.Using algebra and a pronumeral to represent the number I think of, explainwhy I get back to the number I started with. Kepler's third law of planetary motion states that the square of the time required for a planet to make one revolution about the sun varies directly as the cube of the average distance of the planet from the sun. If you assume that Jupiter is 5.2 times as far from the sun as is the earth, find the approximate revolution time for Jupiter in years.Show work pls ;-; Show the steps needed to Evaluate (2)^-2 2. Suppose you are testing the gas in laboratory. If you inserted the burning magnesium ribbon inside the gas jar and magnesium ribbon burnt completely and formed light yellow ash as residue, then which gas was there in the gas jar and what is the name of compound present in yellow ash? 25 lbs of potatoes cost $100. How muchwould 15 lbs cost?Round the answer to two decimal digit How did acquisition of Louisiana represent a constitutional predicament, and what were the overall consequences of it going ahead? CRITICAL THINKING Describe two different sequences of transformations in which the blue figure is the image of the red figi 1 1 2 B I y ET