What does this equal? 0.5n-9=4n+5

Answer:

False

Step-by-step explanation:

It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

x=-1/10

Step-by-step explanation:

Two two numbers whose difference is 88 and whose product is a minimum are -44 and 44.

Let the numbers be x and y where x is larger value and y is smaller number.

According to ques,

x - y =88

and we need to make product of numbers i.e 'xy' minimum.

So we can take x = 88 + y ------(2)

substituting value of x in xy, we get

(88 + y) (y) = y² + 88y ------(1) to make it minimum we need to equate its derivative equal to zero.

derivative of  (1) is 2y + 88

Equating it to zero, we get

2y + 88 = 0

subtracting 88 from both sides, we get

2y = -88

Dividing 2 from both sides, we get

y = -44 ------(3)

Substituting value of y from (3) in (2), we get

x = 88 - 44

x = 44

So, we get value of x as 44 and y as -44 to get their product as minimum.

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The statements that we can see that are true from the statements that we have are B and E

A coefficient in mathematics is a number or constant multiplied by a variable or phrase in an algebraic statement. It displays the variable's scale or proportionate relationship to the rest of the expression.

Coefficients are commonly expressed in algebraic formulas by letters or numbers that are multiplied by variables. Coefficients can be zero, positive, or negative. A positive coefficient denotes an additive term that raises the expression's value, whereas a negative coefficient denotes a subtractive element. A zero coefficient indicates that the term is not present in the equation.

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Answer:

20 + x = 28

Step-by-step explanation:

let x = the # of dvds bought

28 is the total

20 is what he started of with so...

20 + x = 28

and x = 8

Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)

-XxDeathshotxX

the expression y + b % a / 2 - y is equal to 3 + 1 - 3, which is equal to 1. Hence, the value of x is 1.

The value of result after the following partial code executes is 6. The following is the complete code after substituting the variables.  

int x, y, a, b;

a = 4;

b = 11;

y = 3;

x = y + b %

\(a / 2 - y;\) Value of result after execution cout << "Result: " << x; \(cout << "Result: " << x;\)

Output is Result: 6The above code uses arithmetic operators to determine the value of x, which is the result.

The percentage operator calculates the remainder when b is divided by a, which is 3. 11 % 4 = 3

The division operator / then divides the result of the modulus operation by 2.

3 / 2 = 1 (remainder 1)

Therefore, the expression y + b % a / 2 - y is equal to 3 + 1 - 3, which is equal to 1. Hence, the value of x is 1.

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Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

11=−d+15

Step 1: Flip the equation.

−d+15=11

Step 2: Subtract 15 from both sides.

−d+15−15=11−15

−d=−4

Step 3: Divide both sides by -1.

−d/−1=−4/−1

Answer:

D= 4

Step-by-step explanation:

11 = -d + 15

-15        -15

-4 = -d

/-1      /-1

D=4

Rectangle area = length × width

Rectangle area = ( 7x - 2 )( 3x + 4 )

Rectangle area = 21x^2 + 22x - 8

Thus the correct answer is option D .

Answer:

75 coloured pencils

Step-by-step explanation:

Let's say Jordon has x total pencils.

We know that 20% of these x pencils is 15, so we have:

20% * x = 15

Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:

0.20x = 15

x = 15 / 0.20 = 75

Jordon has 75 coloured pencils.

Answer:

75 pencils

Step-by-step explanation:

Let the total no. of pencils be T

20% of T = 15

20/100 × T = 15

T = 15 × 100/20

T = 15 × 5

T = 75

Answer:−

x=-1

Step-by-step explanation:

-2(bx - 5) =16

-2(3x - 5) =16

-6x+10=16

-6x=6

x=-1

Can i plz have a branliest

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  \(x^2-16x+c\)

The formula used is: \(a^2-2ab+b^2=(a-b)^2\)

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

\(x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64\)

So, the value that completes the square is: c=8

Answer:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

The expression (wg)(t) in simplest form, written in descending order of the exponents, is:

(wg)(t) = 125t² - 300t + 186

Given that are two function w(t) = 6 + 5t² and g(t) = 5t - 6, we need to find composite function (wg)(t),

To find (wg)(t), we need to multiply the functions w(t) and g(t).

w(t) = 6 + 5t²

g(t) = 5t - 6

To multiply the functions, we substitute g(t) into w(t) wherever we see t in w(t).

(wg)(t) = w(g(t))

= w(5t - 6)

= 6 + 5(5t - 6)²

= 6 + 5(25t² - 60t + 36)

= 6 + 125t² - 300t + 180

= 125t² - 300t + 186

Therefore, the expression (wg)(t) in simplest form, written in descending order of the exponents, is:

(wg)(t) = 125t² - 300t + 186

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Answer:

y = 3

Step-by-step explanation:

I will assume you want to put this in slope intercept form.

We need to solve for b in y = mx + b since we are given a point and the slope.

y = 0x + b

y = b

3 = b

y = 3

Note that since the slope is 0, there will be nothing to represent m.

Best of Luck!

The characteristic polynomial of T splits,  the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

To prove the given statement, we need to show that if the characteristic polynomial of a linear operator T on a finite-dimensional vector space V splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

Let U be a T-invariant subspace of V. We want to show that the characteristic polynomial of T restricted to U splits.

First, let's consider the minimal polynomial of T, denoted by \(m_T_{(x).\)Since the characteristic polynomial of T splits, we know that it can be written as \(c(x-a_1)^{m_1}(x-a_2)^{m_2}...(x-a_k)^{m_k}\), where \(a_1, a_2, ..., a_k\) are distinct eigenvalues of T, and \(m_1, m_2, ..., m_k\) are their respective multiplicities.

Since U is T-invariant, it means that for any u ∈ U, T(u) ∈ U. Thus, the restriction of T to U, denoted by \(T|_U,\) is a well-defined linear operator on U.

Now, let's consider the minimal polynomial of T restricted to U, denoted by m_{T|U}(x). We want to show that m{T|_U}(x) splits.

For any eigenvalue λ of T|_U, there exists a nonzero vector u ∈ U such that T|_U(u) = λu. This implies that T(u) = λu, so u is also an eigenvector of T associated with the eigenvalue λ.

Since the characteristic polynomial of T splits, we have λ as one of the eigenvalues of T. Hence, the minimal polynomial m_T(x) must have a factor of (x-λ) in its factorization.

Since m_T(x) is also the minimal polynomial of T restricted to U, it follows that m_{T|_U}(x) must also have a factor of (x-λ) in its factorization.

Since this argument holds for any eigenvalue λ of T|_U, we conclude that the characteristic polynomial of T restricted to U,

given by det(xI - T|_U), can be factored as (x-λ_1\()^{n_1}\)(x-λ_2\()^{n_2}\)...(x-λ_p\()^{n_p},\)

where λ_1, λ_2, ..., λ_p are the distinct eigenvalues of T|_U, and n_1, n_2, ..., n_p are their respective multiplicities.

Therefore, we have shown that if the characteristic polynomial of T splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

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The orthogonal projection of u along v is ⟨1, 2, 3⟩.

To find the orthogonal projection of vector u along vector v, you'll need to use the following formula:

Orthogonal projection of u onto \(v = (u ⋅ v / ||v||^2) * v\)

Given u = ⟨1, 5, 1⟩ and v = ⟨1, 2, 3⟩, let's calculate the required values.

1. Compute the dot product (u ⋅ v):
u ⋅ v = (1)(1) + (5)(2) + (1)(3) = 1 + 10 + 3 = 14

2. Calculate the magnitude squared of \(v (||v||^2):\)
\(||v||^2 = (1)^2 + (2)^2 + (3)^2 = 1 + 4 + 9 = 14\)
3. Find the orthogonal projection:
Orthogonal projection = \((u ⋅ v / ||v||^2) * v = (14 / 14) * ⟨1, 2, 3⟩ = ⟨1, 2, 3⟩\)

So, the orthogonal projection of u along v is ⟨1, 2, 3⟩.

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A minimum of 71 observations must fall inside the interval (20, 40).

It is true that Chebyshev's Theorem holds true for all conceivable data sets. The minimal percentage of measurements that must fall within one, two, or more standard deviations of the mean is described. The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.

Given,

The data set has 80 observations and has mean 30 and standard deviation 5.

Chebyshev's theorem states that for each data set, the proportion (or percentage) of values ​​that lie within k standard deviations of the mean (that is, the interval (x -ks , x +ks) is at least 1-1/k² . where k > 1.

x = 30

s = 5

Three standard deviations are added to and subtracted from the mean to get the interval (10, 40).

(30 - 3.5, 30 + 3.5) = (10, 40)

According to Chebyshev's Theorem, this interval contains at least 1 -1/3² = 8/9 of the data. Given that 8/9 of  80 is 71.11, the interval must include at least 71.11 observations. However, one cannot make a fractional observation, so we draw the conclusion that the interval must contain at least 71 observations.

A minimum of 71 observations must fall inside the interval (20, 40).

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The principle of cross-cutting relationships is a valuable tool in relative dating, which helps determine the sequence of events in geological formations. It states that any geological feature that cuts across another is younger than the feature it cuts through.

However, in the case of the Upheaval Dome investigations, using the principle of cross-cutting to determine the relative ages of sedimentary rock layers would be inappropriate.

Upheaval Dome is a unique geological feature in Canyonlands National Park, Utah, characterized by a large impact crater. The crater was formed by a meteorite impact, which disrupted the original sequence of sedimentary rock layers. The impact event caused intense deformation, fracturing, and uplift, resulting in the formation of the dome.

As a result, the principle of cross-cutting relationships cannot be reliably applied in this context because the impact event altered the original layering and created a complex mixture of rocks The fractures and deformations caused by the impact would make it challenging to establish a clear sequence of events based on cross-cutting relationships.

Therefore, alternative methods, such as radiometric dating or stratigraphic analysis, would be more appropriate for determining the relative ages of the sedimentary rock layers in the Upheaval Dome investigations.

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Answer:

L=16.5

or

L= 33/2

or

L= 16/1/2

Step-by-step explanation:

The proportion of cranberries required for the muffins is 4 pounds x 16 ounces/pound = 64 ounces of cranberries. Therefore, to make the muffins for the party, you will need 64 ounces of cranberries.

To calculate the amount of cranberries needed for the muffins at a party of 12 people, making 11/2-ounce muffins and assuming each person will have three muffins, we need to convert the measurements and quantities.

Given that each muffin weighs 11/2 ounces, and each person will have three muffins, we can calculate the total weight of muffins needed. 11/2 ounces is equivalent to 1.5 ounces, so each person will consume 1.5 ounces x 3 muffins = 4.5 ounces of muffins.

For a party of 12 people, the total amount of muffins required is 4.5 ounces/person x 12 people = 54 ounces of muffins.

Now, to determine the amount of cranberries needed for the muffins, we need to consider the recipe's proportion. The recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.

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Answer:

A

Step-by-step explanation:

The range refers to the possible y-values.  You can assume that values on the right column are the y-values if it is not specifically expressed.  The right column is the output, or y, column.

Since you have a table, you have to state each number.  Put the numbers in numerical order.  This gives you an answer of

{46, 49, 52, 53, 58, 63, 64, 67}

Answer:

the rise over run

Step-by-step explanation:

Answer:

5x+1=6.136

5x=6.136-1

5x=5.136

x=5.135/5

x=1.03

x=1

Answer:

She will use 5/6 pound for the entire garden

Step-by-step explanation:

Here, we want to know the total number of pounds that will be used for the full garden.

Firstly, she used 1/2 or 0.5 pound for 3/5 of the garden, let the total amount of pound she will use for the full garden be x.

0.5 pound = 3/5 garden

x pound = 1 garden

x * 3/5 = 0.5 * 1

x * 3/5 = 0.5

3x/5 = 0.5

3x = 5 * 0.5

3x = 2.5

x = 2.5/3 or 5/6 pound

For independent events A and B, where P(A) = 0.3 and P(B) = 0.4, the conditional probability P(B | A) = 0.4

Even A and B are independent events.

P(A) = 0.3 and P(B) = 0.4

Therefore,

P( A∩B ) = P(A) · P(B)

= (0.3)*(0.4)

= 0.12

By the formula of calculating conditional probability we get,

P(B | A) = P( B∩A ) / P(A)

= P( A∩B )/ P(A)

= 0.12/ 0.3

= 12/30

= 0.4

Thus the probability that event B occurs given that event A occurred is 0.4

Conditional probability is referred to the likelihood of an event to occur given that the other event occurs too.

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Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.

Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.

It is denoted by λ , which is the mean number of events.

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