write 2 differnt expressions that involve only oots and powers of 2 which are equivalent 4 2/3 / 8 1/4

Answer: a₁₄=90x-31

Step-by-step explanation:

-x-5,  6x-7,  13x-9 ...

Hence,

a₁=-x-5

a₂=6x-7

a₃=13x-9

d=a₂-a₁

d=6x-7-(-x-5)

d=6x-7+x+5

d=7x-2

aₙ=a₁+d(n-1)

a₁₄=-x-5+(7x-2)(14-1)

a₁₄=-x-5+13(7x-2)

a₁₄=-x-5+91x-26

a₁₄=90x-31

Answer:

Step-by-step explanation:

1)Option A)

2)Option B)

The value of a=12

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equals to symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

[tex]\frac{a}{15}=\frac{4}{5}[/tex]

or, 5a=4*15

or, a= 4*15/5

or, a= 12

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Answer:

See below

Step-by-step explanation:

1).  A = k / (B^3)   <==== this becomes   A = 512/(B^3)  when you use the                                                                               answer from 2).      (below)

2).     When A = 64  and B = 2 :

           64 = k / (2^3)

              64 = k / 8

                   k = 64*8 = 512

The amount of loss that the insurance company will pay is $70000

Deductible plus the amount of coinsurance equals the out-of-pocket maximum.

Determine the $1,000 deductible that the insured is required to pay.

Calculate the coinsurance payment due from the insured: 20% of $5,000 equals $1,000.

The coinsurance penalty is calculated using the straightforward formula: the loss multiplied by the amount of insurance that should have been in place, less any deductible, equals the amount that was actually paid.

The following covered losses are subject to the coinsurance provision: Property value: $200,000; policy limit: $140,000; coinsurance: 80%; loss: $100,000; deductible: $250; all other numbers: $200,000; etc.

The insured only had $140,000 when they should have had $160,000 (200,000 x.80).

The coverage will cover the deductible plus $87,500. (140,000/160,000

=.875; $100,000 x .875

= $87,500; $87,500 - $250

= $77,250)

Stop Limit/Value =%, Loss Amount x% = $ Amount Policy Would Pay (-) minus $ Deductible = $ Covered Loss Amount

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A gallon which is a liquid measuring unit of US in cooking measurements, there are eight cups in half of a gallon.

A gallon is the most commonly used unit of measure for measuring the volume of liquids. US gallons are legally defined as 231 cubic inches, or exactly 3.78 liters .

Ounces : fluid ounces (fl oz, fl. oz ) is a unit of volume commonly used to measure liquids. To convert from gallons to ounces, multiply the value in gallons by 128. So, 1/2 gal = (1/2) × 128 = 64 oz or ounces, 1/2 gallons = 64 ounces. Now, let's measure a cup in gallons, 1 cup is equal to 8 ounces ,then 8 cups are 64 ounces. From the above discussion we conclude that 8 cups = 64 ounces = 1/2 gallon. So, 8 cups is 1/2 gallon.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Using Pythagoras theorem If sin tetha = x/4, then cos tetha = √(16-x²)/4

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

The sides of this triangle have been named Perpendicular, adjascent and Hypotenuse. If sin (tetha) = x/4, this means

x = opposite and

4 = hypotenuse

From hypotenuse² = opposite² + adjacent²

4² = x²+y²

y² = 16-x²

y = √ ( 16-x²)

cos (tetha) = adjacent/ hypotenuse

cos (tetha) = √(16-x²)/4

Therefore the value of cos (tetha) = √(16-x²)/4

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After 7 years  the laptop computer will be worth $200 or less.

Given:

A laptop computer is purchased for $1400 .

Each year, its value is 75%  of its value the year before.

After how many years will the laptop computer be worth $200  or less = ?

1400(0.75)t≤ 200

0.75t  ≤ 1/7

ln(0.75t) ≤ ln(1/7)

tln(0.75) ≤ ln(1/7)

t ≥ ln(1/7)/ln(0.75)

t ≥ 6.76

The natural log of a number between 0 and 1 is negative, and dividing by a negative switches the sign.

So, after 7 years, the laptop computer will be worth $200 or less.

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Three identically sized sectors make up a spinner. Two sectors are colored blue, while one sector is labeled red. Kathryn turns the spinning while recording the outcomes. Kathryn comes to the conclusion that there is a problem with her experiment after running several trials for it.

The object's sample space affects theoretical probability. For instance, the likelihood of rolling a 3 when using a fair die is 1/6. This is so because, when a fair die is rolled, the number 3 indicates one of the six possible results.

Divide the total number of trials by the number of times the desired result has occurred to determine the experimental probability.Every time, one fourth of the time, the spinner will land on a different color. The likelihood of rolling each number on the die in Experiment 2 is always one sixth. The results are equally likely to occur in both of these tests. Let's examine a test in which the results are not equally likely.

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Answer:

180

Step-by-step explanation:

xdcjuggggggggggggggggggggg

Answer:

21 sq. meters

Step-by-step explanation:

you just need to multiply the width and the height, so 3x7.

3x7=21

Answer: 21m^2

Step-by-step explanation:

The equation finds the area of a rectangle is

Area= Width times Height

So take 7 times 3 = 21 m^2

The modeled epidemic rate cannot be determined from the information provided.

The rate of an epidemic spreading is a complex process that is influenced by many factors such as the population density, the number of people who are vaccinated, and the infectiousness of the virus. Therefore, it is not possible to accurately model the rate of an epidemic spreading after 3 days based on the information provided. To accurately model the rate of an epidemic spreading, additional information such as the population density, the number of people who are vaccinated, and the infectiousness of the virus would be needed.

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The total number of votes will be equal to 7678.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 3490 no votes.

The number of yes votes will be,

Y/ N = 6 / 5

Y = ( 6 x N ) / 5

Y = ( 6 x 3490 ) /5

Y = 4188

Total number of votes,

T = Y + N

T = 4188 + 3490

T = 7678

Therefore, the total number of votes will be equal to 7678.

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The surface area of the pyramid is 41. 29 In²

The formula for determining surface area of a square pyramid is expressed as;

Surface area = a² + 2a [tex]\sqrt{\frac{a^2}{4 } + h^2[/tex]

Where;

Substitute the values

Surface area = [tex]4^2 + 2(4) \sqrt{\frac{4^2}{4} } + 6[/tex]

Find the squares

Surface area = [tex]16 + 8 \sqrt{\frac{16}{4} + 6 }[/tex]

Divide the values

Surface area = 16 + 8√10

Surface area = 16 + 8(31.16)

expand the bracket

Surface area = 16 + 25. 29

Surface area = 41. 29 In²

Hence, the value is 41. 29 In²

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Answer: y=|x+1.5|

Step-by-step explanation:

y=|x+1.5|

Using the given information, the city's next year population will be 69,840

From the question, we are to determine what the population of the city will be the following year

From the given information,

"The population of a city decreases by 3.3% per year"

and

This year's population is 72,000

Thus,

The population of the following year will be

72000 - 3% of 72000

Next year population = 72000 - 3% of 72000

Next year population = 72000 - 3% × 72000

Next year population = 72000 - 0.03 × 72000

Next year population = 72000 - 2160

Next year population = 69,840

Hence, the population will be 69,840

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The percent of change 8 to 2

Answer: 6,500 feet MSL

Step-by-step explanation:

I don't think any options you provide have the correct answer! It should be 6,500 feet MSL

The solution of i^100 = 1 is [tex]i^{100} = 1[/tex] .

Simplify

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Power

In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.

Exponents

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

Rewrite [tex]i^{100}[/tex] as [tex](i^{4} )^{25}[/tex]

One to any power is one.

1

From the fact that [tex]i^{2}[/tex] = −1,

Then

([tex]-1^{50}[/tex]) = 1 as −1 raised to any even power is 1.

[tex]i^{100} = 1[/tex]

i^100 = 1

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The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

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Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

The variance of a sample is 4,096. And for interquartile, the difference between the largest and smallest values. The correct answer is option D

To calculate the variance we have a small formula:

v=s^2-----(1)

v=variance

s=Standard deviation

so, given that s=64

substitute in equation(1)

v=64*64

v=4096.

variance: The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean.

Variance is denoted by a symbol: σ2.

Interquartile range (IQR) is a measure of statistical dispersion, which is used to spread the data. The IQR is also called midspread.

To calculate the IQR, the data set is divided into quartiles. These quartiles are denoted by Q1 (another name is the lower quartile), Q2 (the median), and Q3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile corresponds with the 75th percentile, so IQR = Q3 −  Q1

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Answer:

4.

Step-by-step explanation:

strange phrasing of the answer options.

anyway, the product of 56 and 5/9 is

56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9

or as the definition says 31 and 1/9.

because 31×9 = 279.

280 - 279 = 1

so, there is a remainder of 1, which means 1/9.

280/9 = 279/9 + 1/9 = 31 1/9

Answer:

f(-1)= -1

Step-by-step explanation:

put -1 where x is

f(x)=3x+2;f(-1)

f(-1)=3(-1)+2

f(-1)= -3+2

f(-1)= -1

The correct answer is 15.

Given:

connie multiplies a number by 2 and gets 60 as her answer

let x is the number

then, 2x=60

or  x=30.

since , she should have divided the number by 2 to get the correct answer

According to the question,

Dividing the number by 2

Therefore , correct answer = 30/2 = 15

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70 times smaller is the bacterial cell than the amoeba cell.

What is 10^n?

As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 10⁶ is represented as 1,000,000. The number 1 n places after the decimal point represents the power of 10 when n is less than 0; for instance, 10⁻² is represented as 0.01.

Given that, the length of a bacterial cell is about 5 x 10⁻⁶ m, and the length of an amoeba cell is about 3.5 x 10⁻⁴ m.

To calculate times of smaller, divide the length of amoeba cell with bacterial cell.

Therefore, (3.5 x 10⁻⁴)/(5 x 10⁻⁶) = 70.

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Answer:

so the experts answer is correct but its not in scientific notation the answer is: 7 x 10^1

Step-by-step explanation:

The estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

For the stated function;

f(5)=3 and f′(5)=4

the linear approximation indicates that you believe the function is linear.

So just do this:

f(5) + f'(5) (x-5)

Put the values in the obtained function;

In this particular instance, it works out.

= 3 + 4 (4.8 - 5)

= 3 + 4 (-0.2)

= 2.2

Thus, the estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

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The  situations that can be represented by the opposite of -25 are:

-25 can be seen as represention of the given  situations fro the problem, and exploring the given options, we can see that 25 feet below the sea level with that ones balance can be gets reduced by $25.

But when exploring the But the opposite of (-25)  then we can see that 25 feet above the sea level, and in this case the amount will be raised by $25. and the height by 25 feet with the increase in the debt by $25.

Therefore, option B ,C and E are correct.

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missing options:

A. A scuba diver is 25 feet below sea level. B. Leon gets paid $25. C. An airplane descends 25 feet. D. Sara has a $25 debt. E. A bird flies 25 feet above sea level

Answer:

45

Step-by-step explanation:

8 numbers summed and divided by 8 = 41

8numberssummed  / 8 = 41

8numberssummed = 41 * 8 = 328

now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers

  6numberssummed = 8numberssummed - 29 -29

                                   =   328    -29 -29 = 270

  so to find the mean of the remaining six numbers:

     6numberssummed / 6    is        270/6 = 45

Answer:

mean = 45

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

given the mean of 8 numbers is 41 , then

[tex]\frac{sum_{8} }{8}[/tex] = 41 ( multiply both sides by 8 )

sum₈ = 328

given the mean of 2 of the numbers is 29 , then

[tex]\frac{sum_{2} }{2}[/tex] = 29 ( multiply both sides by 2 )

sum₂ = 58

Then

sum₆ = sum₈ - sum₂ = 328 - 58 = 270

then the mean of the other six numbers is

mean = [tex]\frac{sum_{6} }{6}[/tex] = [tex]\frac{270}{6}[/tex] = 45

The best-predicted value of Modifying Above y with caret given that the twin born first has an IQ of 104​ is 106.2.

The dependent variable's predicted value in basic linear regression is given by the equation = b0 + b1x.

In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X. (the error is the difference between the predicted value and the actual value of y).

Use regression equation

ŷ=14.68+0.88x​

plug in IQ, which is x

y = 14.68 + 0.88(104)

 = 106.2

Hence, the answer is 106.2

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