Work out an estimate for
√4.98 +2.16×7.35

The value of y so that WX ⊥ YZ is y = 4 .

In the question ,

it is given that

the line WX is perpendicular to line YZ

and the end points of WX is W(2,-3) and X(-4,9)

and the end points of YZ is Y(5,y) and Z(-1,1) .

let the slope of line WX = m₁

and slope of line YZ = m₂ .

we know that when two lines are perpendicular , then

m₁ * m₂ = -1

m₁ = (9-(-3))/(-4-2)

and m₂ = (1-y)/(-1-5)

Substituting the values of m₁ and m₂ in the equation m₁ * m₂ = -1  ,

we get

(9-(-3))/(-4-2) * (1-y)/(-1-5) = -1

(9+3)/(-6) * (1-y)/(-6) = -1

12/(-6) * (1-y)/(-6) = -1

-2* (1-y) = 6

-2 + 2y = 6

2y = 6+2

2y = 8

y = 4

Therefore , the value of y is = 4 .

The given question is incomplete , the compete question  is

Given W(2, -3) X(-4, 9) Y(5, y) and Z(-1, 1) . find the value of y so that WX ⊥ YZ ?

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The value of a and b based on the given table when the number of pairs of tiles is 2 is given by 30 cm and 40 cm respectively.

When,

number of pairs of tiles is 1

Width of each tile = 20 cm

Length of each tile = 30 cm

number of pairs of tiles is 3

Width of each tile = 40 cm

Length of each tile = 50 cm

number of pairs of tiles is 2

Width of each tile, a = 20 cm + width of each tile

= 20 cm + 10 cm

= 30 cm

a = 30 cm

Length of each tile, b = 30 cm + width of each tile

= 30 cm.+ 10 cm

= 40 cm

b = 40 cm

In conclusion, the value of a and b from the above diagram is 30 cm and 40 cm respectively.

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Answer:

10AM on November 21.

Step-by-step explanation:

12am: - 32: November 21.

1am: - 31: November 21.

2am: - 30: November 21.

3am: - 29: November 21.

4am: - 28: November 21.

5am: - 27: November 21

6am: - 26: November 21.

7am: -25: November 21.

8am: -24: November 21.

9am: -23: November 21.

10am: -22 hours (22 hours ago): November 21 - ANSWER IS 10 AM.

11am: - 21: November 21.

12pm: - 20: November 21.

1pm: - 19: November 21.

2pm: - 18: November 21.

3pm: - 17: November 21.

4pm: - 16: November 21.

5pm: - 15: November 21.

6pm: -14: November 21.

7pm: -13: November 21.

8pm: -12: November 21.

9pm:-11: November 21.

10pm: -10: November 21.

11pm: - 9: November 21.

12am: - 8: November 22.

1am: -7: November 22.

2am: -6: November 22.

3am: -5: November 22.

4am: -4: November 22.

5am: -3: November 22.

6am: -2: November 22.

7am: -1: November 22.

8am: CURRENT TIME (RIGHT NOW): November 22 - START FROM HERE.

Answer:

(- 4, 29 ) and ( [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

7x + y = 1 ( subtract 7x from both sides )

y = 1 - 7x → (1)

2x² - y = 3 → (2)

substitute y = 1 - 7x into (2)

2x² - (1 - 7x) = 3

2x² - 1 + 7x = 3

2x² + 7x - 1 = 3 ( subtract 3 from both sides )

2x² + 7x - 4 = 0 ← in standard form

(x + 4)(2x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

substitute these values into (1) for corresponding values of y

x = - 4 : y = 1 - 7(- 4) = 1 + 28 = 29 ⇒ (- 4, 29 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - 7([tex]\frac{1}{2}[/tex] ) = 1 - [tex]\frac{7}{2}[/tex] = - [tex]\frac{5}{2}[/tex] ⇒ ([tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex] )

Answer:

9/40 of the book was left to read

Step-by-step explanation:

Required to find the fraction of remainder of the book:

first we need to find the (LCM) lowest common multiple so both fractions can have common denominator in order to complete addition or subtraction.

[tex] \frac{3}{8 } + \frac{2}{5} [/tex]

Look at the denominators, we see there is 8 and 5 so that means we have to list the multiples of both numbers until a common is found.

multiples of:

8 = 8, 16, 24, 32, 40

5 = 5, 10, 15, 20, 25, 30, 35, 40

from this we can distinguish that the LCM is 40.

Next we need to multiply each numerator of the fraction by the number of times it took for the denominator to reach the LCM.

It took 8 five multiples to reach the LCM so therefore its new numerator will be 3×5 = 15

[tex] \frac{5}{8} to \: give \frac{15}{40} [/tex]

It took 5 eight multiples to reach the LCM so therefore its new numerator will be 2×8 = 16

[tex] \frac{2}{5} to \: give \: \frac{16}{40} [/tex]

finally we can add but values together and subract from the whole to find the remainder.

[tex] \frac{15}{40} + \frac{16}{40} = \frac{31}{40} [/tex]

in total she read 31/40 of the book.

[tex] \frac{40}{40} - \frac{31}{40} = \frac{9}{40} [/tex]

and the remainder which she did not read was 9/40

The balance of jane at the end of the month is $9,348.24

Why not explain interest?

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as an annual percentage of the loan amount. The interest rate on the loan is this proportion.

At the beginning of the December balance was $8,421.89

She deposited totally $3,721.33
So the balance now is $12,143.22

Now she wrote checks of totaling amount $2,794.43

So now her balance is $9,348.79

Now she paid maintenance fee of $14

So now her balance is $ 9,334.79

Now she  earned $13.45 in interest on the account

So now her balance is $9,348.24

Hence, The balance of jane at the end of the month is $9,348.24

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Answer: Tim sent 25 text messages

Step-by-step explanation:

y=mx+c is being used

Since it increases by 0.15 each time so m=0.15 and the starting charge is 23.79 so c=23.79. We also know that his phone bill is 27.54 so y=27.54

Now this can be used to solve x

27.54 = 0.15x + 23.79

3.75 = 0.15x

25=x

Answer:

x=5

Step-by-step explanation:

Because we know the sum of the interior angles should be 180, we can use this to create an equation to solve for x.

60+(7x+3)+(180-20x)=180

Simplify to find that x = 5

If you're confused about where the 180-20x comes from:

The line it lays on is straight, meaning the angle it creates is 180 degrees.

Thus, 180 - known angle = unknown angle.

Answer:

the answer is c, x=5

Step-by-step explanation:

now, if we look at the pic, there is already one angle given.

and we know that sum interior angles of a triangle must be 180;

so the sum of the other two angles is: angle 2 +angle 3=180-60.

now, let's pick any number and put it into x.

first, if we put 15 into x: 7(15)+5=120,

so 180-(120+60)=0. and for there is another angle, it is invalid.

if we put 6: 7(6)+5=47,

180-(60+47)=73.

let's look at the third angle.

for x=6, the angle UBI is 120°. and we also know that the sum of angles on a horizontal line is always 180°, so 180-120=60, and for the third angle is NOT 73°, this one is also invalid.

if x=5: 7(5)+5=40, 180-(60+40)=80.

the angle UBI= 100°, 180-100=80°;

for 80°+60°+40° equals 180°, the answer c is correct.

The numbers in order are 7, 8, 9, 11, 11, and 11.

Mode:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all

Here we have to arrange the number in order.

Range:

The difference between the lowest and highest values.

Pu the six numbers in order from small to large.

7,8,9,11,11,11

So the median of the number is = (9 + 11) /2

= 10

The mode of these numbers is = 11

As 11 is three times in the series.

The range of the numbers is = 11-7 =4

Therefore the order is 7, 8, 9, 11, 11, 11.

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The probability that the sample mean is greater than 105 is 0.0384.

A simple random sample is a subset of persons chosen at random from a bigger collection. It is the process of randomly selecting a sample.

A simple random sample is a population subset chosen at random. Each member of the population has a precisely equal probability of being selected in this sampling approach, reducing the likelihood of selection bias.

Random sampling ensures that the results received from your sample are close to what would have been achieved if the full population had been measured.

The population mean is  μ =100.

The population standard deviation is σ= 20.

n=50 is the sample size

Let [tex]\bar{x}[/tex] be the mean of the sample

The chance that the sample mean is greater than 105 is then given by :

P( [tex]\bar{x}[/tex]>105)=1-P( [tex]\bar{x}[/tex]≤105)

=1-P(( [tex]\bar{x}[/tex]-μ)/(σ/√n) ≤ (105-100)/(20/√50))

=1-P(z≤1.77)

=1-0.96164

=0.03836≈0.0384

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The complete question is:

"According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. a. What is the probability that the sample mean is more than 105? (Round answer to 4 decimal places.)"

The 90% confidence interval for the true difference between the proportions of rural and city voters who favor gun control is of:

(0.11, 0.346).

For each sample, the proportion and the standard error are given as follows:

Hence the mean and the standard error for the distribution of differences is given by:

The bounds of the confidence interval are given by the rule defined as follows:

p ± zs

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Then the bounds of the interval are obtained as follows:

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The true statements about the slope are:

The graph that completes the question is added as an attachment'

From the question, we have

Slope of the trend line = 15

This can be represented as

Slope = 15

As a general rule

These mean that (a) and (e) are true options

Also, we have:

Slope = 15

Multiply by 1000

Value(1000) = 15 * 1000

Evaluate

Value(1000) = 15000

This means that sales increase $15,000 as ads increase by $1,000.

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Answer:

Hi, I don't mean to scam you out of points. But every method I use the answer is indeed 19. So im not sure what you mean by it isn't 19. is that the whole question?

Answer: 8.3

Step-by-step explanation:

50/6= 8.3

The angular speed is 0.233 radian per second.

What is angular speed?

Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ t where θ is the angular displacement, t is the time and ω is the angular speed.

given radius = 24 feet

distance covered = 5.6

First we will find the circumference

= 2πr

=48π

Time = 48π/5.6 = 26.91

Angular speed = 2π/TIME

=2π/26.91

= 0.233

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Answer:

The growth rate is 1.07%

Step-by-step explanation:

y=ab(to the power of x)

b is the growth/decay rate

b is 1.07% here

Answer:

7%

Step-by-step explanation:

The population of ants in the colony can be represented by the function f(t) = 1400(1.07)

Function = 1400( 1 + 7%)

= 1400(1 + 0.07)

= 1400(1.07)

Growth rate = 7%

The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given mode function,

|2x + 4| ≥ 5

For 2x + 4 > 0 or x > -2

2x + 4  ≥ 5

2x  ≥ 1

x  ≥ 1/2

For 2x + 4 < 0 or x < -2

-(2x + 4) ≥ 5

2x + 4 ≤ -5

2x ≤ -9

x ≤ -9/2

x ≤ -4.5

Hence "The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5".

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Answer:

[tex]\frac{8}{6} = \frac{20}{15}[/tex]

Step-by-step explanation:

It appears that a is the missing value that needs to be solved. The equal sign means that the two values are equal to each other and the other not equal sign means that they don't equal each other.

Whenever dealing with two fractions that equal each other, you can use the fraction cross-product property, where you would multiply the numerator with the denominator and vice versa.

[tex]\frac{8}{a} = \frac{20}{15} \\\\8 \times 15 = 20 \times a\\\\120 = 20a\\\\a = 6[/tex]

So, the fraction would be

[tex]\frac{8}{6} = \frac{20}{15}[/tex]

Answer:  The correct answer is on Day 39 they both have the same amount (38) of naxvips

Step-by-step explanation:

First, determine the rate of change for each using the formula (end-start/days):

Min-jun:

start=36

end=41

days (constant)=15

Rate=41-36/15=5/15 = 1/3 (increment/day)

Tran:

start=56

end=11

days (constant)=15

Rate=11-56/15=-45/15 = -3 (decrement/day)

Build the table using the rate of change for every 3 days:

DAY    MJ    ROC    TRAN    ROC

33       36       0         56          0       <---Start date

36       37      +1          47          -9

39       38      +1          38          -9     <-----SAME!

42       39      +1          29          -9

45       40      +1          20          -9

48       41       +1           11           -9

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Leaping deer company purchased a tractor at a cost of $440,000. The tractor has an estimated residual value of $40,000 and an estimated life of 8 years, or 12,000 hours of operation. The tractor was purchased on January 1, 2015 and was used 2,400 hours in 2015 and 2,200 hours in 2016.

To find out which method of depreciation will produce maximum depreciation, Depreciation expense for 2018 shall be calculated using all methods.

1) Double-declining balance method: Under this method, depreciation is charged to an accelerated rate to the asset by applying double depreciation instead of a regular depreciation rate. This rate is applied to the value of the depreciable assets.

Depreciable Value of Tractor = Gross Value - Salvage Value = $240,000 - $40,000 = $200,000

The regular rate of depreciation = 100% / Life of Tractor = 100% / 8 Years = 12.5%

Double-declining rate of depreciation = Regular rate X 2 = 12.5 % X 2 = 25%

Depreciation expense for 2018 = Depreciable value of tractor X Dobule-decling rate

= $200,000 X 25%

= $50,000

Depreciation expense as per double-declining method = $50,000

2) Straight-line method: Under this method, the value of the depreciable asset is spread over the useful life of the asset evenly.

Depreciation for 2018 = Useful life of Tractor / Useful life

= $200,000 / 8 Years

= $25,000

Depreciation expense as per straight line method = $25,000

3) Units of production method: Under this method, the depreciable value of assets is depreciated with the level of usage with respect to the overall capacity of assets with respect to usage. Hence, more usage shall lead to higher depreciation.

Total hours available during the life of asset = 12,000

Depreciation to be charged for each hour of usage = Depreciable value / Total hours

= $200,000 / 12,000 Hours

= $16.67 per hour

Depreciation for 2018 = Total hours of usage in 2018 X Depreciation per hour

= 3,800 Hours X $16.67

= $63,346

Depreciation under units of production method = $63,346.

Hence, Highest amount of depreciation is produced under units of production method as tractor has been used for more than one-third of its usage hour capacity. As the other two methods do not take into account the level of usage, their depreciation is just based on time. Hence, Depreciation under the unit production method is highest.

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The story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.

The equation is given in the question:

y = 5x+3

To satisfy this equation, we would construct a story problem:

Robbin goes to buy a chair the last week.  Now, the cost of the table is x but the seller says that the cost of the chair he wants to buy is 3 more than 5 times the cost of the table.

Hence, the story problem that would use this equation: y = 5x + 3 is the cost of a chair is 3 more than 5 times the cost of the table and the cost of the table is x.

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Answer:

I need your statements please

Step-by-step explanation:

Is it 102,8100? If not, tell me. I'll fix it!

Answer:

b=1519.87? (If not correct please clarify what sides the 1600 and 500 ft are on. In my answer the 1600 ft was the hypotenuse since it was the longest of the two and it said to find the base of the triangle. This means the 500 ft is the side adjacent to 90 degrees and 1600 ft is the hypotenuse. Sorry if it's not clear!)

Step-by-step explanation:

[tex]500^{2} +b^2=1600^2\\250000+b^2=2560000\\b^2=2560000-250000\\b^2=2310000\\\sqrt{b^2}=\sqrt{2310000}\\ b=1519.87[/tex]

Answer:

side 2 ([tex]b^{2}[/tex]) = 1519.87

OR

hypotenuse ([tex]c^{2}[/tex])= 1676.31

Explanation:

If 1600 ft = hypotenuse and 500 ft = side

[tex]1600^{2}[/tex] = [tex]500^{2}[/tex] + [tex]b^{2}[/tex]

2560000 = 250000 + [tex]b^{2}[/tex]

2560000 - 250000 = [tex]b^{2}[/tex]

2310000 = [tex]b^{2}[/tex]

[tex]\sqrt{2310000}[/tex] = [tex]\sqrt{b^{2} }[/tex]

[tex]b[/tex] = 1519.87

side 2 = 1519.87

OR

If 1600 ft = side 1 and 500 ft = side 2

[tex]1600^{2}[/tex] + [tex]500^{2}[/tex] = [tex]c^{2}[/tex]

2560000 + 250000 = [tex]c^{2}[/tex]

2810000 = [tex]c^{2}[/tex]

[tex]\sqrt{2810000}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]c[/tex] = 1676.31

hypotenuse = 1676.31

Answer: 23456789ol.09876

Step-by-step explanation:

In regression analysis , the error term ε is a random variable with expected value of 0.

What is regression analysis?

A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.

Main Body:

In regression analysis, the model in the form is called regression model.

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.

So the answer  to error term is 0.

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Answer:

y = -4x^2 - 40x - 103

Step-by-step explanation:

to get the standard form, you have to formulate the equation as

y = ax^2 + bx + c

we have to expand the (x+5)^2

y = -4((x+5)^2) - 3 = -4(x^2 + 10x + 25) - 3 = -4x^2 - 40x - 100 - 3 = -4x^2 - 40x - 103