Classify the following triangle as right, acute or obtuse using the following side measurements: 20cm, 12cm, 16cm

Answer:

x equals -11

Step-by-step explanation:

all angles of a triangle have to add up to be 180°

Since numbers can be repeated and any number from 0 to 9 can be used for each digit, we have 10 options for each digit of the 7-digit phone number.

To calculate the total number of permutations, we multiply the number of options for each digit together:

Total number of permutations = 10^7

This is because for each of the 7 digits, we have 10 options (0-9) and we multiply these options together.

Calculating the value, we have:

Total number of permutations = 10^7 = 10,000,000

Therefore, there are 10,000,000 permutations of a 7-digit phone number under the given conditions.

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Answer:

Step-by-step explanation:

the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

How to find the product between two mixed numbers?

A mixed number is a number that is written as the addition of a whole number and an improper fraction.

Remember that the mixed number "negative two and one third" is written as:

-2 ¹/₃ = (-2 - 1/3)

Here we want to solve the product:

(-2 - 1/3)*(-5 - 15/100)

Notice that all the signs are negative, so the outcome will be positive:

(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)

                                 = 10 + 5/3 + 30/100 + 5/100

                                 = 10 + 5/3 + 3/10 + 1/20

                                  = 10 + 3/3 + 2/3 + 6/20 + 1/20

                                  = 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60

                                  = 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60

Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

Answer:

12 1/60

Step-by-step explanation:

-2 1/3 × (-5 15/100) =

= -7/3 × (-5 3/20)

= 7/3 × 103/20

= 721/60

= 12 1/60

The probabilities are P(X = 2) = 0.14 and P(X ≥ 2) = 0.30

The mean and the standard deviation are 0.96 and 0.90

P(x = 2)

From the question, we have the following parameters that can be used in our computation:

X       0         1         2       3

P(X)   0.12    0.20   0.14  0.16

From the above table, we have

P(X = 2) = 0.14

P(x ≥  2)

From the question, we have the following parameters that can be used in our computation:

X       0         1         2       3

P(X)   0.12    0.20   0.14  0.16

From the above table, we have

P(X ≥ 2) = P(2) + P(3)

Substitute the known values in the above equation, so, we have the following representation

P(X ≥ 2) = 0.14 + 0.16

Evaluate the sum

P(X ≥ 2) = 0.30

The mean is calculated as

μx = sum of the products of x and P(x)

So, we have

μx = 0 * 0.12 + 1 *0.20 + 2 * 0.14 + 3 * 0.16

Evaluate

μx = 0.96

The standard deviation is calculated as

ox = the square root of sum of the products of x and P(x) * (1 - P(x)

So, we have

ox = √[(0 * 0.12 * 0.88) + (1 * 0.20 * 0.80) + (2 * 0.14 * 0.86) + (3 * 0.16 * 0.84)]

Evaluate

ox = 0.90

Hence, the standard deviation is 0.90

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression -(-3+1)^2+4 can be simplified as follows

-(-3+1)^2+4

= (-2)^2 + 4

= 4 + 4

= 8

So, the expression evaluates to 8.

For the expression -(1+1)^2+4, the steps are the same:

-(1+1)^2+4

= (-2)^2 + 4

= 4 + 4

= 8

So, the expression evaluates to 8.

Answer:

Step-by-step explanation:

ChecK THE Picture attached for both the answers.

Hope it helps ❤️

Answer:

\( ➜- 8 - x + x = x - 4x + x\)

\( ➜- 8 = - 2x\)

\( ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} \)

\(➜x=4\)

Answer:

19.2 cm

Step-by-step explanation:

480×0.014

=19.2

Answer:

x=(-1+i√119)/4

AND

x=(-1-i√119)/4

Step-by-step explanation:

\(2x^{2} +x+15=0\)

step1: identify a,b and c from the equation.

a=2

b=1

c=15

step2: use the quadratic formula.

\(x=\frac{-b+or- √b^{2}-4ac }{2a}\)

(sub a,b and c)

\(x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}\)

(simplify)

\(x=\frac{-1+or-√-119}{4}\)

(write the two possible answers)

\(x=-\frac{1+i√119}{4}\)  

AND

\(x=-\frac{1-i√119}{4}\)

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Answer: 3.5⋅(−1.2)=4.2

The nth derivative of f(x) = xe^(8x) can be written as f^((n))(x) = x^(n)e^(8x) * (8^n + nP(n-1)). Here, P(n-1) stands for the (n-1)th derivative of the exponential function, e^(8x). This formula makes use of the product rule for derivatives and the chain rule. The product rule states that the derivative of the product of two functions is the product of the derivatives of the individual functions.

The chain rule explains how the derivative of a function composed of other functions (e.g. f(x) = xe^(8x)) can be calculated. To use the chain rule, the derivatives of the individual functions are multiplied together. In this case, the first function is x and its nth derivative is nx^(n-1). The second function is e^(8x) and its (n-1)th derivative is 8^(n-1)e^(8x). The product of these two derivatives is x^(n)e^(8x) * (8^n + nP(n-1)).

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Answer:

c

Step-by-step explanation:

simply put : x and y just switch places.

The equation that is quadratic form is 6(x + 2)²+ 8x + 2 + 1 = 0

A quadratic equation is an algebraic expression whose polynomial is in the order of two. The general formula for representing a quadratic equation takes the order of:

From the given options, the equation that takes a quadratic form is:

6(x + 2)²+ 8x + 2 + 1 = 0

solve the brackets

6(x² + 4x + 4) + 8x + 3 = 0

6x² + 24x + 24 + 8x + 3 = 0

6x² + 32x + 27 = 0

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Answer:

a

Step-by-step explanation:

Answer:

vertical line

Step-by-step explanation:

I did that on my test

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> \(\frac{1}{12}\) = 0.8333.........

=> \(\frac{7}{8}\) = 0.875

=> \(\frac{14}{25}\) = 0.56

=> \(\frac{17}{20}\) = 0.85

=> \(\frac{6}{10}\) = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.

can send full pictures to me

Answer: None

Step-by-step explanation: the answer is -12d+1

Answer:

64x^11 after making the nomenclature revisions as noted below.

Step-by-step explanation:

Be careful with the notation. As written, (8x4)2(x3) is telling us to multiply 8*4*2*x*3 for an answer of 192x. But, judging from the answer options, this doesn't make sense.

If we assume, instead, that some of the numbers are actually exponents, then a different answer emerges. I'll guess that the expression (8x4)2(x3)

was meant to read: (8x^4)^2(x^3)

===

Assuming this is correct, take the following steps according to PEDMAS:

1) Exponents: (8x^4)^2 = 64x^8

2) (64x^8)*(x^3)

3) 64x^11

If we write the answer options is a similar manner, we find that the third option, 64x11, would be 64x^11, the expression we derived above. 64x11 is not the correct answer, but 64x^11 is.

Answer:

c

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

Since 7 goes into both 21 and 63 you are going to divide 21 and 63 by 7:

21/7 = 3

63/7 = 9

So now we have 3:9 but we can go even further than that, 3 can go into both 3 and 9 so we are going to divide 3 and 9 by 3:

3/3 = 1

9/3 = 3

So we now have 1:3 ratio for the simplest form of of the ratio 21:63

Hope this helps you!!!

Answer:

1:3

Step-by-step explanation:

Divide both sides of 21:63 by 21, to get 1:3

Answer:

See below

Step-by-step explanation:

Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered.  The attached image demonstrates an approach that simplifies the graph.

Enter the three equations and three inequalities separately into six DESMOS input boxes.  Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time.  Each pair represents one line of the function and limit for that function.  Then find the intersection point for the values indicated in the second half of the equation.  

One can also calculate the answers:

a)  (-21,442)

b)  (-4,-1)

c)  (18,15.5)

d) (20,17)

If a group is abelian, then all of its subgroups are normal.

This is because, in an abelian group, the order of multiplication of elements does not matter.

Therefore, if we take an element from a subgroup and conjugate it with an element outside of the subgroup, the result will still be in the subgroup.

Thus, the subgroup is normal.

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a. The SVD of A is given by A = UΣ\(V^T\).

b. The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

The Unique Value A matrix is factored into three separate matrices during decomposition. As a result, A = UDVT can be used to define the singular value decomposition of matrix A in terms of its factorization into the product of three matrices.

To find the singular value decomposition (SVD) of a matrix A, we need to perform the following steps:

(a) Find the Singular Value Decomposition (SVD):

  Let A be an m x n matrix.

  1. Compute the singular values: σ1 ≥ σ2 ≥ ... ≥ σr > 0, where r is the rank of A.

  2. Find the orthonormal matrix U: U = [u1 u2 ... ur], where ui is the left singular vector corresponding to σi.

  3. Find the orthonormal matrix V: V = [v1 v2 ... vn], where vi is the right singular vector corresponding to σi.

  4. Construct the diagonal matrix Σ: Σ = diag(σ1, σ2, ..., σr) of size r x r.

       Then, the SVD of A is given by A = UΣ\(V^T\).

(b) Write an orthonormal basis for each of the four fundamental subspaces of A:

  The four fundamental subspaces are:

  1. Column space (range) of A: Span{v1, v2, ..., vr}

  2. Null space (kernel) of A: Span{v(r+1), v(r+2), ..., vn}

  3. Row space (range) of \(A^T\): Span{u1, u2, ..., ur}

  4. Null space (kernel) of \(A^T\): Span{u(r+1), u(r+2), ..., um}

Note: The specific values for U, Σ, and V depend on the matrix A given in the problem statement. Please provide the matrix A for further calculation and more precise answers.

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A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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The annual rate of population growth in the US was about 1.2% in 2015, then the growth factor will be 1.012. The growth factor depends upon annual growth rate.

Growth factor typically refers to a constant multiplier that is used to calculate the growth or decay of a quantity over time. It is given as:

Growth factor = (1 + annual growth rate)

Therefore, the growth factor for the US in 2015 can be calculated as follows:

Growth factor (1+0.012) = 1.012

Therefore, the growth factor for the population of the US in the year 2015 was about 1.012.

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