-8 (c - 10) = - (c-3)

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The product of -2 and 3, using repeat subtraction, is given as follows:

-2 x 3 = -2 - 2 - 2 = -6.

The product of a number a by a number b is understood as the consecutive addition of the number a b times or of the number b b times, for example:

2 x 3 = 2 + 2 + 2 = 3 + 3 = 6.

If the product contains one negative number, then the product can also be understood as consecutive subtractions, as the example below shows:

-2 x 3 = -2 - 2 - 2 = -6.

The problem is incomplete, hence one example was shown.

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The measure of angles are

The length of the hypotenuse of the right triangle = 11 inches

The length of the one leg = 10 inches

Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square

Then the equation will be

The length of the other leg = \(\sqrt{11^2-10^2}\)

= \(\sqrt{121-100}\)

= 4.58 inches

Therefore AC = 11 inches

AB = 10 inches

BC = 4.58 inches

The angle B = 90 degrees

Consider the angle A

cos θ = Adjacent side / hypotenuse

cos θ = 10 /11

θ = 24.61 degrees

Consider the angle C

cos θ = Adjacent side / Hypotenuse

cos θ = 4.58 / 11

θ = 65.39 degrees

Hence, the measure of angles are

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Given three sequences. Sequence A is 30, 40, 50, 60, 70,... Sequence B is 0, 5, 15, 30, 50,..

Sequence C is 1, 2, 4, 8, 16,...

The formula describing the term of sequence A is given below:

The formula describing the term of sequence B is given below:

The formula describing the term of sequences C is given below:

Answer:

\(y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)\)

Answer:

x = 30

m<Y = 60

m<Z = 60

m<X = 60

Step-by-step explanation:

All of this should add up to 180 so...

2x + 2x + 3x - 30 = 180 (collect like terms)

7x - 30 = 180 (add 30 on both sides)

7x = 210 (divide by 7 on both sides)

x = 30

PLUG IN

2(30) = 60

3(30) - 30

90 - 30 = 60

m<Y = 60

m<Z = 60

m<X = 60

equilateral triangle

Hope this helps ya! Keep smiling!

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

39 + BC = 46

       BC = 46 - 39

       BC = 7

Answer: it’s 1

Step-by-step explanation:

A negative num

Answer: 2

Step-by-step explanation:

Slope=rise/run

In this case

Rise=2

Run=1

2/1=2

Answer: m = 2

Step-by-step explanation:

1) m= (y2-y1)/(x2-x1)

2) let say :

y1=0

y2=4

x1=-2

x2=0

3) m= (4-0)/(0-(-2))

4) m= 4/2 =2

Using the law of cosines, it is found that the measure of angle Y is of 64º.

The problem is incomplete, hence we research it on a search engine, and we have that we have a triangle in which:

The law of cosines states that we can find the side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

In which:

For this problem, the parameters are given as follows:

a = 12, b = 17, c = 16, C = Y.

Hence:

c² = a² + b² - 2abcos(Y)

16² = 12² + 17² - 2(12)(17)cos(Y)

408cos(Y) = 177

cos(Y) = 177/408

Y = arccos(177/408)

Y = 64º.

The measure of angle Y is of 64º.

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The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.

Therefore, geom_jitter() make the points easier to find.

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The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to a given plot, which creates a scatterplot.

Therefore, geom_jitter() makes the points easier to find.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

36F + 28S= 6080

Step-by-step explanation:

36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.

The 43 percent result from the poll should be considered as a rough estimate of the candidate's expected performance, and not a precise prediction of the election outcome.

a forecast of what you believe will happen in the future: Please do not ask me to forecast the meeting's outcome for tomorrow. [ + that ] Nobody listened to her prediction that the world would end on November 12. additional examples The estimate of 4 million unemployed people appears terrifyingly plausible.

What exactly does the term "prediction" imply?

A prediction is what someone believes will happen. A forecast is a forecast, but it is not always about the weather. Pre is a diction term that means "before" and refers to talking. As a result, a forecast is a prediction about the future.

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

No, the condition of having a mean of 0 and variance of 1 for projections on any unit vector is not sufficient to say that the original points are uniformly distributed on the unit hypersphere.  



This is because it only guarantees that the projections have a specific statistical distribution, but it doesn't provide information about the distribution of the original points in the hypersphere. In fact, there are many non-uniform distributions that satisfy this condition, such as Gaussian or Laplace distributions.

To determine if the original points are uniformly distributed on the unit hypersphere, additional information about their distribution is needed, such as their density function or probability measure. One common way to test for uniformity is to use statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test, which compare the observed distribution to the expected distribution under uniformity.

In summary, having a mean of 0 and variance of 1 for projections on any unit vector is a necessary but not sufficient condition for uniform distribution on the unit hypersphere, and additional information and testing is needed to confirm uniformity.  

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Answer:

-12x+7

Step-by-step explanation:

combine the like terms

The distance is always positive.

We want the distance between -1 and 1.

Lets look at a number line:

From -1 to 1, we can see that there are 2 units.

Hence, the distance between -1 and 1 is TWO

The likelihood that at least 150 people will collaborate and react in a fresh sample of 400 telephone numbers is 0.9953.

The probability informs us of the likelihood that an event will occur. It is necessary for the likelihood to fall between 0 and 1. The likelihood of success is 1, whereas the probability of failure is 0.

Given, that the market research  company has a history of having a 44% response rate for its telephone surveys.

Therefore, p=44%=0.44=μ

n=400

p=150/400

p=0.375

The standard deviation is then equal to,

σ=√(p(1-p))/n

σ=√(0.44(1-0.44))/400

σ=√(0.44×0.56)/400

σ=0.025

Using the z-table, the values are as follows:

z=(p-μ)/σ

z=(0.375-0.44)/0.025

z=-2.6

p(p>0.375)

=p(z>-2.6)

=1-p(z<-2.6)

=1-0.0047

=0.9953

=99.53%

Therefore, the likelihood that at least 150 people will participate and provide information in a new sample of 400 telephone numbers

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Answer:

Step-by-step explanation:

Starting with the left-hand side (LHS) of the identity:

(cos x)(tan x + sin x cot x)

We can simplify using trigonometric identities. First, we can rewrite tan x as sin x/cos x and cot x as cos x/sin x:

(cos x)(sin x/cos x + sin x(cos x/sin x))

Simplifying, we get:

(sin x + cos2 x)/sin x

Next, we can multiply the numerator and denominator by the conjugate of sin x + cos2 x, which is sin x - cos2 x:

[(sin x + cos2 x)/(sin x + cos2 x)] * [(sin x - cos2 x)/(sin x - cos2 x)]

Expanding and simplifying, we get:

[(sin x)(sin x - cos2 x) + (cos2 x)(sin x - cos2 x)] / [(sin x)(sin x - cos2 x) + (cos2 x)(sin x + cos2 x)]

Simplifying further, we get:

(sin2 x - cos2 x + cos2 x sin x - cos4 x) / (sin2 x + cos2 x)

Using the identity sin2 x + cos2 x = 1 and simplifying, we get:

(sin x - cos2 x) / 1

Finally, using the identity cos2 x = 1 - sin2 x, we can simplify to:

(sin x - (1 - sin2 x)) / 1

Simplifying further, we get:

2 sin x - 1

So the left-hand side is equal to 2 sin x - 1.

Now, let's simplify the right-hand side (RHS) of the identity:

sin x + cos2 x

Using the identity cos2 x = 1 - sin2 x, we can rewrite the RHS as:

sin x + 1 - sin2 x

Simplifying further, we get:

1 - sin2 x + sin x

Finally, using the identity sin2 x + cos2 x = 1, we can rewrite as:

cos2 x + sin x

So the right-hand side is equal to cos2 x + sin x.

Since the left-hand side is equal to 2 sin x - 1 and the right-hand side is equal to cos2 x + sin x, the identity is not true in general. Therefore, the given identity does not hold true.

hope this helps

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

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Answer:

B

Step-by-step explanation:

1 4/5

Answer:

k=7

Step-by-step explanation:

k*3-9=12

3k-9=12

3k=12+9

3k=21

k=\(\frac{21}{3}\) cross out 21 and 3

k=7

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

-2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

(10-12)/(5-2) = -2/3

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

A graph that represent y = [x] over the domain 3 ≤ x ≤ 6 include the following: D. graph D.

In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

f(x) = [x].

By critically observing graph D, we can logically deduce that only its parent greatest integer function has closed circles or dots that begins from a point with an x-value of 3 and an x-value of 6;

Domain = 3 ≤ x ≤ 6 or [3, 6].

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Answer:

the answer is 864 in3

Step-by-step explanation:

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches.

So V=LxWxH....

12 x 18 x 24= 5,184

Then...

Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches.

So= V=LxWxH

12 x 30 x 12=4,320

And they need to see who has more so 5,184-4,320=864in3

I hope this helps also Into Math said it was correct :)