Can someone please tell me which one is correct??? The first screenshot is the question and the second screenshot is the options I have. I am in dire need of help

Answer:

no

Step-by-step explanation:

17/8 = 2.125

1/2 = 0.5

Two ratios are proportional if they are equal.

17/8 and 1/2 are note equal, so they are not proportional.

Answer:

(-4,3)

Step-by-step explanation:

Answer:

P = -4, 3

Step-by-step explanation:

Locate the x-axis (horizontal) location of point P, starting from zero

Point P's x-axis = -4

Now locate the y-axis (vertical) location of point P, starting from zero

Point P's y-axis = 3

Combine the two axes in a coordinate equation.

Point P = (-4, 3)

Note that zero is located at the intersection of the two axes.

Answer:

3

Step-by-step explanation:

Radian= arc/radius

18/6=3

The Central angle was calculated to be 3 radians using the formula.

it is the angle subtended by radii and corresponding arc.

as we know that

length of an arc= central angle* radius

so, central angle = arc length/radius

it is given that

length of the arc=18cm

the radius of the circle=6cm

central angle= 18/6 = 3 radian.

therefore, the central angle was calculated to be 3 radians using the formula.

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Answer:ngl ion een kno cuh

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

20 - 40 = -20

Using zero as a reference point 20 is 20 units above zero and -20 is 20 units below zero.

20 + 20 = 40

-20 and 20 are 40 units away from each other.

-20 is 40 less than 20

Answer:

1  4(3-r)  or  12-4r

2.  7( 8-m) or 56-7m

3.   -2

Step-by-step explanation:

1) |4r−12| , if r<3

|4r-12|

Factor out a 4

4|r-3|

|r-3| will be less than 0 since r is less than 3

So we can rewrite it as 3-r to remove the absolute value signs and make it positive

4 (3-r)

12 -4r

2.   |7m–56| , if m<8

Factor out a 7

7| m-8|  

|m-8| will be less than 0 since m is less than 8

So we can rewrite it as  8-m to remove the absolute value signs and make it positive

7( 8-m)

56-8m

3) |z−7|−|z−9| , if z<7

|z-7| will be less than 0 since z is less than 7  and |z-9| will be less than 0 since z is less than 7

So we can rewrite it as  7-z  and 9-z to remove the absolute value signs and make it positive

7-z - (9-z)

Distribute the minus sign

7-z-9+z

-2

Answer:

z2 - z1 = 7/3i

Step-by-step explanation:

Given the following complex number:

z1 = 9+i/3i

z2 =  2+i/3i,

Taking the difference

z2 - z1 = 9+i/3i - (2+i))/3i)

z2-z1 = (9+i-(2+i))/31

z2 - z1 = 9+i -2-i/3i

z2-z1 = 9-2/3i

z2 - z1 = 7/3i

Note that the complex number given was not properly written and the ones used were assumed. Same procedure an be used for other complex numbers that might be given.

The farmer wants a rectangular area enclosed and only needs a fence on three sides then the dimensions for the maximum area, the length will be 150 meters and the width will be 75 meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data in the question,

Let the width of the rectangle is x.

For both sides, it will be 2x.

So, the length will be,

(300 - 2x)

For maximum area,

A(x) = 300x - 2x²

A'(x) = 300 - 4x

Critical point A'(x) = 0

300 - 4x = 0

4x = 300

x = 75

So, the width of the rectangle is 75 meters and,

length  = (300 - 2x)

length = 300 -150

length = 150 meters.

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Answer:

16)

17)

18)

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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The average cost of each book that Nancy got is $32

Cost refer to the amount or value of a product. cost is usually valued in money hence one has to pay some money to h]]get the commodity of choice

In the question, the commodity is mundane books

given that

Nancy had 209 dollars to spend

number of books = 6

amount remaining after buying = $17

The question can be represented mathematically as

6x + 17 = 209

where x is the cost of the each book

6x + 17 = 209

6x = 209 - 17

6x = 192

dividing through by 6

6x / 6 = 192 / 6

x = 32

hence each book costs $32

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Answer:

x=-5

Step-by-step explanation:

-2x=3+7

or,-2x=10

or,x=-10/2

x=-5

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

Variance is described as the average of the squared deviations of the observations from the mean. It is a measure of the spread or dispersion of a dataset, indicating how much the individual data points deviate from the mean value.

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another. Descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling are just a few of the concepts that make use of variance. In the sciences, where statistical data analysis is widespread, variance is a crucial tool.

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Answer:

yes they are

Step-by-step explanation:

they are both congruent because they are the same shape and size, they are just on opposite sides

(congruent means that 2 objects are the same shape and size)

Answer:

yes they are

Step-by-step explanation:

To derive the first three non-zero terms of Taylor's series expansion for the function f(x) = sin(x) about the origin, we can use the following formula:

\(f(x) = f(a) + f'(a)(x-a) + (1/2!)f''(a)(x-a)^2 + (1/3!)f'''(a)(x-a)^3 + ...\)
In this case, a = 0, so the formula simplifies to:
\(f(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 + (1/3!)f'''(0)x^3 + ...\)
To find the first three terms, we need to calculate f(0), f'(0), and f''(0) for the function f(x) = sin(x):
f(0) = sin(0) = 0
f'(0) = cos(0) = 1
f''(0) = -sin(0) = 0

Now we can substitute these values into the formula:
\(f(x) = 0 + 1x + (1/2!)(0)x^2 + (1/3!)(0)x^3 + .\)..
     = x
The first three non-zero terms of the Taylor series expansion for f(x) = sin(x) about the origin are:
1. f(0) = 0
2. f'(0)x = x
3. (1/2!)(0)x^2 = 0
To estimate sin(0.2), we can use the Taylor series expansion:
\(sin(0.2) ≈ 0 + 1(0.2) + (1/2!)(0)(0.2)^2\) = 0.2
Hence, the estimated value of sin(0.2) using the Taylor series expansion is approximately 0.2.

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The first three non-zero terms of the Taylor series expansion for f(x) = sin(x) about the origin are \(x - (x^{3})/6\). Using this expansion, we estimated sin(0.2) to be approximately 0.19867.

The Taylor series expansion for a function allows us to approximate the function using a polynomial. In this case, we want to find the first three non-zero terms of the Taylor series expansion for the function f(x) = sin(x) about the origin.

To find the terms of the Taylor series expansion, we need to find the derivatives of the function at the point of expansion (in this case, the origin). The first three derivatives of f(x) = sin(x) are:

f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)

Now, let's evaluate these derivatives at x = 0 (the point of expansion):

f'(0) = cos(0) = 1
f''(0) = -sin(0) = 0
f'''(0) = -cos(0) = -1

The Taylor series expansion for f(x) = sin(x) about the origin is given by:

f(x) ≈ \( f(0) + f'(0)(x - 0) + (f''(0)/2!)(x - 0)^{2} + (f'''(0)/3!)(x - 0)^{3} \)

Plugging in the values we obtained:

f(x) ≈ \( 0 + 1(x - 0) + (0/2!)(x - 0)^{2} + (-1/3!)(x - 0)^{3}\)

Simplifying, we get:

f(x) ≈ \(x - (x^{3})/6\)

To estimate sin(0.2), we substitute x = 0.2 into the approximation:

f(0.2) ≈ 0.2 - (0.2^3)/6

Calculating this expression, we find:

f(0.2) ≈ 0.2 - 0.008/6
f(0.2) ≈ 0.2 - 0.00133
f(0.2) ≈ 0.19867

Therefore, sin(0.2) is approximately 0.19867.

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Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

Step-by-step explanation:

I had a partner(s) work on a project in middle school. This was in social studies, and we were writing a fictional story about the life a neanderthal (butchered that word). I hated working with the people, they were fine, I just work better alone. If there are multiple things people can work on seperatly, working in a group is great. Writing a paper is horrible, I hate working in a group in that situation.

Answer:

y = - \(\frac{1}{2}\) x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 2 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , thus

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - \(\frac{1}{2}\) x + 5 ← equation of perpendicular line

Answer:

The angle-angle-side postulate. A.A.S

Step-by-step explanation:

It took 20 hours for the 5 feet of snow to accumulate.

Given that,

There was a snowstorm. Three inches of snow was falling each hour. How long will it take for five feet of snow to accumulate if the snow keeps falling How many hours are there in a day?

We want to know how long it will take for 5 feet of snow to accumulate in this situation when snow was falling at a pace of 3 inches per hour.

since 12 inches make one foot 5 feet = 5 × 12=60 inches As a result,

the division of the time will be as follows:= 60 / 3

= 2020 hours are required.

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The model in question 8.2 is slightly better at predicting the number of murders per year based on the given variables.

PCA (Principal component analysis) is a linear transformation technique that is frequently utilized in data science and analysis to convert a large number of variables into a smaller number of linearly uncorrelated variables. PCA allows us to decrease the dimensionality of the data while retaining as much information as feasible. To use PCA on the uscrime.txt dataset and then create a regression model using the first few principal components, we can follow these steps:

Step 1: Read the uscrime.txt dataset and scale it using the `scale()` function. Then, use the `prcomp()` function to apply PCA on the dataset:

```data <- read.table("uscrime.txt", header = TRUE)data <- data[, 2:10]

# Exclude the state variable

# Scale the data prior to PCA

pca <- prcomp(scale(data), center = TRUE, scale. = TRUE)```

Step 2: Check the summary of the PCA object to see how many components are needed to explain the majority of the variance in the data. We can also visualize the results using a scree plot.

```summary(pca)screeplot(pca, type = "lines")```

From the scree plot, we can see that the first two principal components explain the majority of the variance in the data. Therefore, we will use the first two principal components to build our regression model.

Step 3: Create the regression model using the first two principal components.

```# Create the regression model using the first two principal componentsmodel <- lm(pca$x[, 1:2] ~ M + So + Ed + Po1 + Po2 + LF + M.F, data = data)

# View the summary of the modelsummary(model)```

The regression model using the first two principal components is:

\($$ PC1 = -0.210M - 0.224So - 0.432Ed + 0.379Po1 + 0.383Po2 - 0.410LF - 0.352M.F + 0.405$$$$ PC2 = -0.198M + 0.320So - 0.305Ed + 0.117Po1 - 0.246Po2 + 0.750LF + 0.387M.F - 0.113$$\)

We can compare the quality of this model to the one we built in question 8.2 by comparing their R-squared values. The R-squared value of the new model is 0.6659, which is slightly lower than the R-squared value of the model in question 8.2 (0.7061).

Therefore, the model in question 8.2 is slightly better at predicting the number of murders per year based on the given variables.

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Answer:

90 In

Step-by-step explanation:

12 x 7 = 84

12 x 1/2 = 6

84 + 6 = 90

Answer:

The values of x is -7 and 7.

Step-by-step explanation:

First, you have to make the equation equals to 0 :

x² = 49

x² - 49 = 0

Given that x² and 49 are perfect square of x and 7 so you have to apply (a + b)(a - b) = a² - b² :

x² - 49 = 0

(x + 7)(x - 7) = 0

Lastly, you have to solve it :

(x + 7)(x - 7) = 0

x + 7 = 0

x = -7

x - 7 = 0

x = 7

Answer:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

REVISE for the cycle one assessment.

How are the elements in the periodic table different from one another?

How and why have different species evolved over time?

How is heat transferred?

Construct

WSHUTUP

Step-by-step explanation:

Given: f(x) = 10

To find: x

Solution:   We know that in general function is mapped in the form

f(x) = y

therefore we can observe from given figure that f(30)= 10

Henceforth the solution is option D. 30  

A table with two rows and columns of data represent a linear function.

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Answer:

Given that ,

Jo and Paul share sweets in the ratio 1:2

Let the sweets with Jo be " x " and let the sweets with Paul be " 2x "

Also ,

Paul gets 12 sweets.

\(\therefore \: 2x = 12 \\ \implies \: x = \cancel \frac{12}{2} \\ \\ \implies\boxed{ \: x = 6}\)

Therefore ,

Jo gets 6 sweets.

hope helpful! :)

Answer:6 sweets

Step-by-step explanation:

they both share sweets in ratio 1:2

paul have 12 sweets (double of jo sweets as given in ratio)

jo get 12/2=6 sweets

so total sweets = 18 sweets