The ratio of x to 4 is not less than 9

Given:

[tex]\cot \theta = -2[/tex]

To find:

The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].

Solution:

We know that,

[tex]\cot (\theta -n\pi)=\cot \theta[/tex]         ...(i)

Where n is an integer.

We have,

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]

Using (i), it can be written as

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]

It is given that [tex]\cot \theta = -2[/tex].

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]

Therefore, the value of the given function expression is [tex]-6[/tex].

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Answer:

x = 3.5

Step-by-step explanation:

diagonals bisect each other so AW = OW

since AO = 22 then AW = 11

11 = 4x - 3

14 = 4x

x = 7/2 or 3 1/2

Answer:

C. Supplementary angles

Step-by-step explanation:

because they add up to 180°

Answer:

Supplementary angles

Step-by-step explanation:

Supplementary angles b/c the 2 angles would have to equal 180

Answer: 5x^2 - 3x + 9

Step-by-step explanation:

Answer:

5x^2 - 3x + 9

Step-by-step explanation:

Answer:

5x is the GCF

Step-by-step explanation:

Answer:

Brainliest PLEASE!

Step-by-step explanation:

a = seattle

b = wilderness

t = time traveling at 132 mph

(4-t) = time traveling at 110 mph

distance traveled at 132 mph = 132(t)

distance traveled at 110 mph = 110(4-t)

but the two distances are equal so:

132t = 110(4-t), solving for t

t = 1.82 hrs

d= 1.82 hrs * 132 m/hr = 240 miles

Answer:

45=32+13

Step-by-step explanation:

because you need to get 45 on the other side to balance it out

Answer:

32

Step-by-step explanation:

45=r+13

r=45-13

r=32

I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)

Answer:

35 in.

Step-by-step explanation:

Step-by-step explanation:

2x+4=x+18

2x-x=18-4( Addition on the Right hand side changes to subtraction on the left hand side and wise-versa.)

1x=14

1x(1*x so X itself)

X=14

Answer:

x+2x+4_x_18=0

2x_14=0

x=14÷2

x=7

Answer:

2+2= 4

Step-by-step explanation:

QUICK MATHS

Answer:

11

Step-by-step explanation:

A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

A prime number is a number that cannot be factored other than 1 and that number is self.

For example, 9 can be written as 3 x 3 thus it will not prime number and 11 cannot be written as two products other than 1 x 11 thus it will be a prime number.

Hence "A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number".

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Answer:

4- 3s and 2- 2s

Step-by-step explanation:

3+3+2+2+3+3

Answer:p=8

Step-by-step explanation:

Add them all and divide by 5.

Answer:

6

im not really sure how to explain this, using the number line go from -2 to 4, getting you to 6 spaces

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

Answer:

$27.31 (rounded to the nearest cent)

Answer:

look at this dudeee

Surface area of the prism given is 46 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object

Given net of a prism.

The given net consists of three rectangles and two triangles.

Find the area of each of the two dimensional figures.

Given, the bases are isosceles triangles.

So the two rectangles are of dimensions 5 inch × 2.5 inch and third rectangle is of the dimensions 5 inch × 3 inch.

Total area of the rectangles = (5 × 2.5) + (5 × 2.5) + (5 × 3)

                                              = 40 inches²

Area of two triangles = 2 × [tex]\frac{1}{2 }[/tex] × 3 × 2

                                   = 6 inches²

Surface area of the prism = 40 inches² + 6 inches² = 46 inches²

Hence the required area is 46 inches².

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Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

18x-2

Answer:

2‹18x

2 is less than 18 timesX

Answer:

0.6 or 3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{5} -2\frac{3}{5} \\\\\frac{16}{5} -\frac{13}{5} \\\\\frac{3}{5}[/tex]

Answer:

8

Step-by-step explanation:

The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Here,

To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.

The formula for the confidence interval is given by:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean (x) is the mean of the sample (12.1 units in this case).

Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.

For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).

Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.

Given the information in the problem:

Sample Mean (x) = 12.1 units

Sample Standard Deviation (s) = 1.5 units

Sample Size (n) = 45

Confidence Level = 95%

Critical Value ≈ 2.013

Now, let's calculate the standard error:

Standard Error = s / √n

Standard Error = 1.5 / √45 ≈ 0.2236

Now, calculate the confidence interval:

Lower bound of the confidence interval:

12.1 - (2.013 * 0.2236) ≈ 11.66

Upper bound of the confidence interval:

12.1 + (2.013 * 0.2236) ≈ 12.54

So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

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From the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

How to use the Central limit theorem?

We are given;

Population Mean; μ = $265

Population standard deviation; σ = $40.93

Sample size; n = 130

The central limit theorem (CLT) postulates that the distribution of sample mean approximates a normal distribution with larger sample sizes, disregarding the population's distribution.

This implies that sample sizes equal to or greater than 30 are often considered sufficient for the Central limit theorem to hold.

Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

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Answer:

See image below

Step-by-step explanation:

Answer:

x = -12/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/3x = -4/5

Step 2: Solve for x

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

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