Can someone help me with these three? You can get 30 points

Answer:

8.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Answer:

Hi! I'm happy to help!

Step-by-step explanation:

8.026, 8.062, 8.26, 8.6

Using differentials, we estimated ⁴√1.3 to be approximately 1.075, while the exact value is approximately 1.071.

To estimate the value of ⁴√1.3 using differentials, we will use the function f(x) = x^(1/4) and find its derivative, f'(x), which will help us estimate the change in f(x) for a small change in x.

First, find the derivative of f(x) = x^(1/4):
f'(x) = (1/4)x^(-3/4)

Now, let x = 1 since ⁴√1 is easy to compute (it's 1) and Δx = 0.3 (as we want to find ⁴√(1 + 0.3)):
f'(1) = (1/4)(1)^(-3/4) = 1/4

Using differentials, we have:
Δf(x) ≈ f'(x)Δx = (1/4)(0.3) = 0.075

So, our estimate for ⁴√1.3 is:
estimate = ⁴√1 + Δf(x) = 1 + 0.075 = 1.075

Now let's compare it to the exact value of ⁴√1.3:
exact value = 1.3^(1/4) ≈ 1.071

In summary, using differentials, we estimated ⁴√1.3 to be approximately 1.075, while the exact value is approximately 1.071.

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Answer:

\(f(8) = - 42\)

Step-by-step explanation:

Hi there!

You have to substitute x = 8 into:

\(f(x) = 6(1 - x)\)

It then becomes:

\(f(8) = 6(1 - 8)\)

Calculate the above

\(f(8) = - 42\)

The surface area of the roof is the amount of space on it

The surface area of the roof is 600 square meters,

From the complete question, we have the parameters for the roof:

The surface area of the roof is calculated using:

\(A = b^2 + 2b \sqrt{\frac{b^2}4 + h^2}\)

So, we have:

\(A = 15^2 + 2 * 15 \sqrt{\frac{15^2}4 + 10^2}\)

Evaluate the exponents

\(A = 225 + 30 * \sqrt{\frac{225}4 + 100\)

The equation becomes

\(A = 225 + 30 * 12.5\)

Evaluate the sum

\(A = 600\)

Hence, the area of the roof is 600 square meters

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Answer:

3,628 sq ft

Step-by-step explanation:

Answer:

y= -2x+3....…........

Answer:

its c

Step-by-step explanation:

The equations of the lines that pass through the point (0,5) and intersect the circle at exactly one point are y = 4/3x + 5 and y = -4/3x + 5.

The equation of a circle centred at the origin with a radius of 3 units is defined by x² + y² = 3². The coordinates of the point are (0, 5). Let the equation of the tangent be y = mx + c.

y = mx + c

5 = m(0) + c

c = 5

The equation of the tangent is of the form mx -y + 5 = 0. The distance of the centre of the circle from the tangent must be equal to the radius of the circle.

d = |ax + by + c|/√(a² + b²)

3 = |m(0) + (-1)(0) + 5|/√[m² + (-1)²]

√[m² + (-1)²] = 5/3

m² + 1 = 25/9

m² = 16/9

m = ±4/3

The equations of the tangents are y = 4/3x + 5 and y = -4/3x + 5.

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Start ( 10, -9)

Bakery ( 11, -8)

End (12 , -7)

Distance = [(x2 - x1)^2 + (y2 - y1)^2] ^1/2

Distance from S to B

[(11-10)^2 + (-8- (-9))^2]^1/2

[ 1 + 1 ] ^ 1/2

2 ^ 1/2

Distance from B to E

[(12-11)^2 + (-7-(-8))^2]^1/2

[ 1 + 1] ^1/2

2^1/2

Distance from S to E

[(12-10)^2 + (-7 - (-9))^2]^1/2

[4 + 4]^1/2

8^1/2

ratio

2^1/2 / 8^1/2

= 1/2

the ratio could also be the reverse

8 ^1/2 / 2^ 1/2

= 2

Answer:

1/2 and 2

Answer:

Step-by-step explanation:

we will use 0,8 in 10 seconds as thats the easiest.

for 10 to become 1 we move the decimel once to the right, 10/10

same will happen to 0.8,

10/10=1

0.8/10=0.08

The hot air-ballon climbs 0,08 meters per second

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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A. The measures of center shows that the mean is 41.3 and the median is 5.

B. The measure of variability shows that the range is 8 and IQR is 5.

C. Based on the given data, if you are interested in a smaller class size, Bay Side School would be a better choice for you.

Part A: For Bay Side School:

Mean: We sum up the class sizes and divide by the total number of classes.

Class sizes: 8, 6, 5, 8, 6, 5, 4, 2, 0, 5, 3, 2, 0, 0, 3

Sum = 8 + 6 + 5 + 8 + 6 + 5 + 4 + 2 + 0 + 5 + 3 + 2 + 0 + 0 + 3 = 62

Mean = 62 / 15 = 4.13

Class sizes in ascending order: 0, 0, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8

Median = (5 + 5) / 2 = 5

For Seaside School:

Mean: We sum up the class sizes and divide by the total number of classes.

Class sizes: 5, 8, 1, 0, 2, 5, 6, 8, 5, 7, 7, 8, 0, 6, 4

Sum = 5 + 8 + 1 + 0 + 2 + 5 + 6 + 8 + 5 + 7 + 7 + 8 + 0 + 6 + 4 = 72

Mean = 72 / 15 = 4.8

Median: We need to arrange the class sizes in ascending order and find the middle value.

Class sizes in ascending order: 0, 0, 1, 2, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8

Median = 6

Part B: In order to calculate the measures of variability, we will find the range and interquartile range (IQR) for each school's class sizes.

For Bay Side School:

Range: The range is the difference between the largest and smallest values.

Range = 8 - 0 = 8

IQR: The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Q1 = median of the lower half of the data = (2 + 2) / 2 = 2

Q3 = median of the upper half of the data = (6 + 8) / 2 = 7

IQR = Q3 - Q1 = 7 - 2 = 5

For Seaside School:

Range: The range is the difference between the largest and smallest values.

Range = 8 - 0 = 8

IQR: The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Q1 = median of the lower half of the data = (2 + 5) / 2 = 3.5

Q3 = median of the upper half of the data = (7 + 8) / 2 = 7.5

IQR = Q3 - Q1 = 7.5 - 3.5 = 4

C Based on the given data, if you are interested in a smaller class size, Bay Side School would be a better choice for you.

Considering both the measures of center and measures of variability, Bay Side School offers a smaller average class size (mean) and a smaller range of class sizes (IQR) compared to Seaside School. Therefore, if you prefer smaller class sizes, Bay Side School would be the better choice for you.

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Answer:

The measure of angle i = 114°

Step-by-step explanation:

180-117= 63

180-129= 51

63°+51°= 114°

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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It tells you they are similar. This means the angles are the same, and the sides are proportionate.

Look at the 12 and 4 at the very bottom. This tells you the ratio of the sides. Since 12 / 4 = 3, you can find y with 2 * 3 which is 6.

From that, you also know that 3z = 3y - 2. Substitute the value of y in and you can find z.

Corresponding angles are exactly the same. which means, (3x)° = 100°

You should get x = 33 1/3, y = 6, z = 5 1/3

The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.

We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.

For our question, we can start by rearranging the first equation to isolate y:

\(4x + y = 4\\y = -4x + 4\)

We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.

Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:

In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent

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Answer:

The number of bacteria's increases in 5 days will be 1790.

Step-by-step explanation:

The bacterium population is rising day by day, and the function that depicts this growth is Future amount = 100(1+0.9)⁴'⁵.

Now the bacterial growth will be:-

The probability that 100 randomly selected college students will spend less than $10.00 on average for dinner is approximately 0.9525 or 95.25%.

We can utilize as far as possible hypothesis to inexact the conveyance of test implies for an enormous example size of 100. The example mean is regularly dispersed with a mean of the populace mean ($9.50) and a standard deviation of the populace standard deviation partitioned by the square base of the example size ($3/sqrt(100) = 0.3).

To find the likelihood that 100 arbitrarily chosen understudies will spend under $10.00 on normal for supper, we really want to find the z-score related with the worth $10.00 utilizing the recipe:

z = (x - mu)/(sigma/sqrt(n))

Subbing the given qualities, we get:

z = (10 - 9.5)/(0.3) = 1.67

Utilizing a standard typical dissemination table or number cruncher, we can find that the likelihood of a z-score under 1.67 is roughly 0.9525.

Accordingly, the likelihood that 100 haphazardly chosen understudies will spend under $10.00 on normal for supper is roughly 0.9525 or 95.25%.

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a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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The next two apparent terms of the sequence would be 80 and 160.

The pattern used to find these terms is that each term in the sequence is obtained by multiplying the previous term by 2. In other words, the sequence is doubling with each subsequent term. For example, to obtain the second term of the sequence, we multiply the first term (5) by 2 to get 10. To obtain the third term, we multiply the second term (10) by 2 to get 20, and so on. By continuing this pattern, we can see that the fourth term in the sequence is obtained by multiplying the third term (20) by 2 to get 40. Similarly, to find the fifth term, we multiply the fourth term (40) by 2 to get 80, and to find the sixth term, we multiply the fifth term (80) by 2 to get 160. Therefore, the next two apparent terms of the sequence are 80 and 160, respectively.

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Answer: y=-6

Step-by-step explanation: I tried a few combinations and the distance was 17 if y=-6

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

x = 136

Step-by-step explanation:

x and 44 are same- side interior angles and sum to 180° , that is

x + 44 = 180 ( subtract 44 from both sides )

x = 136

Answer:

-3,-2,1,2

Step-by-step explanation:

this is the domaim

Answer:

Weight Calculator

Standard conversion factors.

1) MILD STEEL (MS)

MS SQUARE. WEIGHT (KGS ) = WIDTH X WIDTH X 0.00000785 X LENGTH. ...

MS ROUND. WEIGHT (KGS ) = 3.14 X 0.00000785 X ((diameter / 2)X( diameter / 2)) X LENGTH. ...

SS ROUND. DIA (mm) X DIA (mm) X 0.00623 = WEIGHT PER METRE. ...

SS / MS CIRCLE. ...

SS sheet. ...

S.S HEXAGONAL BAR.

Step-by-step explanation:

The z-score of an appliance that stopped working at 64 months is 2

The given parameters are:

Mean, μ = 48 months

Standard deviation, \(\alpha\) = 8 months

The z-score is then calculated as:

\(z=\) x-μ/\(\alpha\)

For an appliance that stopped working at 64 months, we have:

x = 64

So, the equation becomes

\(z=\frac{64-48}{8}\)

Evaluate the differences

\(z=\frac{16}{8}\)

Evaluate the quotient

\(z=2\)

Hence, the z-score of an appliance that stopped working at 64 months is 2

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Answer:

D on edge 23

Step-by-step explanation:

love you cuties :)

Answer:

y = 10

Step-by-step explanation:

\(\displaystyle \frac{6+9+18}{3}=\frac{12+y}{2}\\ \\\frac{33}{3}=\frac{12+y}{2}\\ \\11=\frac{12+y}{2}\\ \\22=12+y\\\\10=y\)

3

6+9+18

=

2

12+y

3

33

=

2

12+y

11=

2

12+y

22=12+y

10=y

answer: 10=y