if length of a rectangle is (x+7) and breath is (x+5). find the area of the rectangle

Answer:

i can understand your problem

Answer: 8 hours

Step-by-step explanation:

speed = distance/time

time = distance/speed

[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]

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

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

Answer: y=|x+1.5|

Step-by-step explanation:

y=|x+1.5|

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

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:

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

Answer:

180

Step-by-step explanation:

xdcjuggggggggggggggggggggg

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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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 percent of change 8 to 2

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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2 different expressions that involve only outs and powers of 2 which are equivalent 4 2/3 / 8 1/4

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

2) (2^5 * 3^1) / (2^6 * 4^-1)

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

This expression is equivalent to 4 2/3 / 8 1/4 because it is written in terms of powers of two. 4^2 is equal to 16, which is the numerator in 4 2/3. 2^-1 is the same as 1/2, which is the second fraction in 4 2/3. 3^1 is equal to 3, which is the numerator in 8 1/4. 8^1 is equal to 8, which is the denominator in 8 1/4. 2^-2 is the same as 1/4, which is the second fraction in 8 1/4. 4^-1 is equal to 1/4, which is the first fraction in 8 1/4. When all the terms are multiplied and divided, it is the same as 4 2/3 / 8 1/4.

2) (2^5 * 3^1) / (2^6 * 4^-1)

This expression is also equivalent to 4 2/3 / 8 1/4 because it is written similar to above equation.

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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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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 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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14 orders of guacamole need  24.5  avocadoes

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

4 orders of guacamole need  7 avocadoes

14 orders of guacamole need  x avocadoes

Equivalent ratios:

4/7 = 14/x

Solve for x.

=> 4x = 7*14 = 98

=> x = 98/4 = 24.5

So, 14 orders of guacamole need  24.5  avocadoes

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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: 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 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?

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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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 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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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 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:

n + 6 = 13

Step-by-step explanation:

let n be the number, then increasing by 6 means adding 6 to it , so

n + 6 = 13 ← linear equation

The length of WX = 25, WY = 25, XY = 17.

Isosceles triangles have two sides that have the same length.

 ABC, if it is an isosceles triangle then AB=AC

Properties of isosceles triangle used in this question:

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal and its reverse also hold.

ABC is an isosceles triangle AB=AC then

                                 ∠B =∠C

Given: ΔWXY, ∠X = ∠Y

       Therefore, WX = WY

WX = 9x-11

WY = 7x-3

XY = 4x=1

9x-11 = 7x-3

9x-7x = -3+11

2x = 8

x = 4

We can calculate easily all the side with the help of x value

WX = 9x-11 = 9*4 -11 = 26-11

                        = 25

WY = 7 x (-3) = (7×4)– 3 = 28-3

                       = 25

XY = 4x=1 = (4×4) +1 = 16+1

                       = 17

Hence, we get all the sides.

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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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Answer:

B

Step-by-step explanation:

Solve (x + y(x)) (-(dy(x))/(dx) + 1) = (dy(x))/(dx) + 1:

Let v(x) = x + y(x), which gives (dv(x))/(dx) = (dy(x))/(dx) + 1:

(-(dv(x))/(dx) + 2) v(x) = (dv(x))/(dx)

Simplify:

-((dv(x))/(dx) - 2) v(x) = (dv(x))/(dx)

Solve for (dv(x))/(dx):

(dv(x))/(dx) = (2 v(x))/(v(x) + 1)

Divide both sides by v(x)/(v(x) + 1):

((dv(x))/(dx) (v(x) + 1))/v(x) = 2

Integrate both sides with respect to x:

integral((dv(x))/(dx) (v(x) + 1))/v(x) dx = integral2dx

Evaluate the integrals:

log(v(x)) + v(x) = 2 x + c_1, where c_1 is an arbitrary constant.

Solve for v(x):

v(x) = W(e^(2 x + c_1))

Simplify the arbitrary constants:

v(x) = W(c_1 e^(2 x))

Substitute back for y(x) = -x + v(x):

Answer:  y(x) = -x + W(c_1 e^(2 x))