for the linear system y⃗ ′=[10−612−8]y⃗ find the eigenvalues and eigenvectors for the coefficient matrix

Answer:

Its because theres no possible answer for what you typed in

Step-by-step explanation:

Answer:

It is weakened chii bro or champ

Step-by-step explanation:

to express the range of possible values that the number could take, we write the number as:
x = 40 ± 5.

When we round a number to a certain number of significant figures, we are essentially estimating the value of the number based on the level of precision we require. In the case of rounding to 1 significant figure, we are rounding the number to the nearest power of 10 that has only one non-zero digit. For example, 40 has one significant figure, while 45 has two significant figures.

However, when we round a number, we introduce an error in our estimate. This error is due to the fact that the true value of the number may be closer to the midpoint between two adjacent values than to the value we have rounded to. In the case of rounding to 1 significant figure, the error interval is equal to half the value of the least significant digit.

In other words, if we round a number to 1 significant figure, the true value of the number could be as much as 5 units less or 5 units more than the rounded value. Therefore, to express the range of possible values that the number could take, we write the number as:

x = 40 ± 5

This means that the true value of x could be anywhere between 35 and 45, inclusive. In other words, we are 95% confident that the true value of x falls within this range.
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Answer:

y = -2x-8 ------> the equation of the line

Step-by-step explanation:

y = mx + b

8 = -2(-8)+b

  = 16 + b

-16      -16

-----------

-8 = b

y^2 - y^1 / x^2 - x^1

= 8-(-6) / -8-(-1)

= -14/7

= m = -2

Final answer: y = -2x-8

Answer: 2x - 7y - 40 = 0

Step by step explanation:

(-1,-6) (-8,-8)

Slope (m) = y-y/x-x

m = (-8- -6)/(-8 - -1)

m = 2/7

y-y=m(x-x). Use one of the points: (-1,-6)

y - - 6 = 2/7 (x - - 1)

y+6=2/7(x+1)

y+6=2/7x+2/7

Multiply both sides by 7

7y+42=2x+2

2x—7y-40=0

Standard form =

Answer:

the prouduct is ^2 − 6 + 5

Step-by-step explanation:

Answer:

2.2 hr

Step-by-step explanation:

Let the speed of the boat in km/h be x.

Then, the speed downstream is (x+5), and the speed upstream is (x-5).

We know the speed downstream is twice the speed upstream, so

\(x+5=2(x-5) \\ \\ x+5=2x-10 \\ \\ x=15\)

This means the speed upstream is 10 km/h. Thus, to travel 22 km, it will take 2.2 hrs.

The sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a sandbox:

The length of the sandbox = 4 feet

The width of the sandbox = 6 feet

The height of the sandbox = 2 feet

Amount of sand can hold = volume of the sandbox

= 4×6×2

= 48 cubic feet

Thus, the sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

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Answer:

x = 292.2 pounds (£)

Step-by-step explanation:

Write and solve an equation of ratios:

 € 1        £0.72

--------- = ----------

€410         x

Cross-multiplying, we get:

x = 292.2 pounds (£)

It take 3.1 sec for the rocket to hit the ground.

Given, The rocket's height above the ground is modeled by the function h(t) = -16t² + 44.6t + 15.5.

h represents the height above the ground in feet and t represents the time in seconds.

Now, as we know that

when Rocket hits the ground, then the height of the rocket above the ground will be zero.

Hence, h(t) = 0

-16t² + 44.6t + 15.5 = 0

Now, applying quadratic formula to solve the equation, we get

\(t = \frac{-44.6 +-\sqrt{44.6^{2}-4(-16)(15.5) } }{2(-16)}\)

t = (-44.6±√1989.16+992)/-32

t = (-44.6±54.6)/-32

as, time can not be in negative so

t = (-44.6 - 54.6)/-32

t = - 99.2/-32

t = 3.1

Hence, It take 3.1 sec for the rocket to hit the ground.

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Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

It is a difference of squares, so we can factor this to

\((x+2)(x-2)=0\)

Then, we can solve for \(x\).

\(x=-2,2\)

Hope this helps.

頑張って!

The area of the trapezoid is 24cm².

It should be noted that the area of a trapezoid is calculated as:

Area = h × (a + b//2

where h = height

Area = 4 × (4 + 8)/2

Area = 4 × 12/2

Area = 4 × 6

Area = 24cm²

The area is 24cm²

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Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j

The percentage exposure needs to be calculated by converting the duration of each noise level and comparing it to the OEL (Occupational Exposure Limit) value to determine if it is within the acceptable range.

The percentage exposure is [to be calculated]. It needs to be compared to the OEL (Occupational Exposure Limit) value to determine if it is within the acceptable range.

In order to calculate the percentage exposure, we need to convert the duration of each noise level into hours and sum them up. For Station 1, the duration is 3.5 hours, for Station 2 it is 1.5 hours, and for Station 3 it is 2 hours. We can then use the table of equivalent values to find the corresponding steady sound levels and their durations. By multiplying each steady sound level by its duration and summing them up, we can calculate the total exposure.

Once we have the total exposure, we can compare it to the OEL value, which represents the maximum allowable exposure. If the percentage exposure is within the OEL value, it means that the worker's exposure to noise is within the acceptable limit. If the percentage exposure exceeds the OEL value, it indicates that the worker has been exposed to noise levels that exceed the recommended limit, which may have potential health and safety implications.

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The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

E) y= 2x-11

Step-by-step explanation:

as we know the equation of line parallel to

y =2x-7 or, 2x-y-7=0 is 2x-y+k=0

as the line passes through the point (5,-1)

substituting the value of x and y in equation 2x-y+k=0

we get,

2×5-(-1)+k=0

or, 10+1+k=0

or, k=-11

hence putting the value of k in ep 2x-y+k=0

we get 2x-y-11=0

or, y=2x-11

Answer:

37.5

Step-by-step explanation:

0.1  pound for one batch of cookies

3.75 pound for  x  batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

The correct option is E) because it was supposed to reveal the presence of poison

Many ancient Eastern rulers favored drinking vessels made of celadon porcelain because it was supposed to reveal the presence of poison

Because introduces cause and reason clauses. Subordinating conjunction, that is. Because a subordinate clause requires a main clause to be complete, the clause it introduces is a subordinate clause.

Here, the underlined portion is ungrammatical (wrong tense) and does not make its reference clear (what 'supposedly reveals' poison). Option E, unlike the other options, rectifies this error and does not add any further error. E is thus the answer.

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Complete Question:

Maria rode her bike for three-fifths of a mile on Monday and one-fifth of a mile on Tuesday. How many miles did she ride altogether?

Group of answer choices.

A. 1/5

B. 3/10

C. 7/5

D. 4/5

Answer:

D. 4/5

Step-by-step explanation:

Given the following data;

Distance covered on Monday, D1 = 3/5 miles

Distance covered on Tuesday, D2 = 1/5 miles

Total distance covered, Td = D1 + D2

Substituting into the equation, we have;

\( Td = \frac {3}{5} + \frac {1}{5}\)

Lowest common denominator (LCD) = 5

\( Td = \frac {3 + 1}{5} \)

Td = 4/5 miles.

Therefore, Maria rode 4/5 miles altogether.

Hello,

Answer:

12⁰ = 1

Step-by-step explanation:

We have any number with exponent 0 = 1  

(a⁰) = 1

Answer:

169 sq m

Step-by-step explanation:

= 13 × 13 = 169 sq m.

The probability that 72% or more of the women in the sample have been on a diet is, 0.1736.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

As given a sample survey interviews an SRS of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months.

p = 0.69

1 - p = 0.31

n = 209

μp = p = 0.69

σp = √(p(1-p))/n = √(0.69*0.31)/209 = 0.03199

= 1 - p(p < 0.72)

= 1 - p((p - μp) / σp < (0.72 - 0.69) / 0.03199)

= 1 - p(z < 0.94)

= 1 - 0.8264

= 0.1736

Hence, the probability is 0.1736.

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Answer:

Step-by-step explanation:

5-x< 13

-5      -5

-x< 8

Answer:

-8

Step-by-step explanation:

5-x<13

-x<13-5

-x<8

-x/-1<8/-1

x<-8

There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

To find the number of acres in a lot, you can use the following formula:

Number of acres = (length in feet) x (width in feet) / 43,560

First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:

Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet

Next, plug these values into the formula:

Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres

Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

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The value of k in function g of x is x-2.

A function in mathematics can be defined which from a set X to a set Y that is to allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and range or sometimes refer to the codomain of the function , respectively.

In mathematics, a function is an expression, rule, or law that establishes the relationship between a single variable (the independent variable).

In the given question,

function of x = (1)* (-x+6)

and function of g = g of x = k

now the solution of equation is,

f (x) = g (x) is x = 4.

taking,  putting x =4 in (1)* (-x+6)

=> x = -4 + 6 = 2

now for g of x to be 4 the value of k should be x-2

as when x = 4 , g of x = x-2 = 4-2 = 2 = f of x

Thus, The value of k in function g of x is x-2.

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Null hypothesis (H0): The population mean amount spent by customers at the restaurant is equal to or greater than $32.

Alternative hypothesis (H1): The population mean amount spent by customers at the restaurant is less than $32.

The appropriate null and alternative hypotheses in this scenario can be stated as follows:

The null hypothesis is the default assumption, which states that there is no significant difference between the mean amount spent by customers last year and this year.

On the other hand, the alternative hypothesis is the claim that the mean amount spent by customers this year is less than the previous year, which the restaurant owner is trying to test.

By conducting appropriate statistical tests and analyzing the data, the restaurant owner can either reject the null hypothesis or fail to reject it, depending on the level of significance and the strength of the evidence gathered.

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The person is required to select a three-digit number, and if they guess the right number, they will be paid $700 for each dollar they bet. Each day, there is a new winning number.

The person bets $1 each day for one year.To get the possible win or loss from the game, the following formula can be used:Expected win or loss = (Probability of winning × Amount won) − (Probability of losing × Amount lost)From the question, we know that the person is betting $1 every day for a year. Therefore, the total amount of money spent by the person in a year is: Amount spent in a year = $1 × 365 = $365Let's calculate the probability of winning: There are 1000 possible three-digit numbers that can be selected. Only one of them is the winning number.Therefore,

The probability of winning the game is:P(win) = 1/1000Let's calculate the probability of losing the game:There are 999 three-digit numbers left after selecting the winning number.  This means that the person can expect to lose about $0.299 every day. Therefore, the person can expect to lose $109.14 in a year (365 days). Answer: $109.14

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The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.

In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.

Range = maximum temperature - minimum temperature

Range of Glasgow = 2 - (-8)

2 + 8 = 10

Range of Cardiff = 6 - (-1)

6 + 1 = 7

Range of Exeter = 8 - 0 = 8

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We want to simplify:

For doing so, we use the distributive property, and we get:

And we break the parenthesis to obtain:

Lastly, we simplify the similar terms and we get:

This means that the expression simplified is 4x+4.