Simplify the expression:
9x + -x + -9x + 6

To be sure of getting at least one face card from a standard deck of 52 cards, you would need to pick a minimum of 4 cards.

In a standard deck of 52 cards, there are 12 face cards (4 jacks, 4 queens, and 4 kings). To ensure that you have at least one face card, you would need to consider the worst-case scenario, which is that the first three cards you pick are not face cards. In this case, the fourth card you pick is guaranteed to be a face card, as there are 12 face cards remaining in the deck.

To understand why you need a minimum of 4 cards, consider the possibilities:

If you pick 3 non-face cards consecutively, the next card must be a face card. The probability of picking a non-face card is
(40/52) * (39/51) * (38/50) = 0.4026.

Therefore, the probability of picking at least one face card in the first 3 cards is 1 - 0.4026 = 0.5974.

However, to be absolutely sure of getting at least one face card, you need to consider the worst-case scenario, where the first 3 cards are non-face cards. Therefore, you would need to pick the fourth card to guarantee a face card.

Hence, to be sure of getting at least one face card, you need to pick a minimum of 4 cards from a standard deck of 52 cards.

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Answer:

This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:

X^(2) - 7x + c = x^(2) + 2ax + a^(2)

And we can set them equal to each other and solve for a and c:

x^(2) - 7x + c = x^(2) + 2ax + a^(2)

-2ax - a^(2) = -7x + c

a = (7x - c) / 2x

c = x^(2) - 7x + a^(2)

Note that this is valid as long as x is not equal to 0.

Answer:

d. (9, 13)

Step-by-step explanation:

5x-3y=6  /*6

6x-4y=2  /*(-5)

30x - 18y = 36

-30x +20y = - 10

            2y = 26

              y = 13

5x-3y=6

5x - 3*13 = 6

5x - 39 = 6

5x = 45

x = 9

(9, 13)

Answer:

C

Step-by-step explanation:

This looks like a case of multiplying the number of X's by the respective number below it.

For example: the 1/2 has 3 X's, so we multiple (1/2)(3), making it (3/2) or 1.5

Next is the 1 having 2 X's, so (2)(1) is 2

Continuing that trend we get the following

1.5, 4, 2.5, and 3.

So all of our totals are 1.5, 2, 1.5, 4, 2.5, and 3.

Our last step will be adding all these answers together.

1.5 + 2 = 3.5

+ 1.5 = 6

+ 4 = 10

+ 2.5 = 12.5

and finally +3 = a grand total of 15.5 or 15 1/2

Given the triangle BCD

As shown BD is perpendicular to CD, there is a right angle at point D

So, the triangle BCD is a right angle triangle

The length of the line CD can be calculated using the Pythagorean theorem

As follows:

Where BC is the hypotenuse of the triangle

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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The probability that a student plays either baseball or soccer is 0.4296 (or 42.96%).This is the long answer.

Percentage of students that play baseball = 18%Percentage of students that play soccer = 32%Probability of a student playing baseball given that the student plays soccer = 22%We need to find the probability that a student plays either baseball or soccer (or both).Let the probability of a student playing baseball be P(B)Let the probability of a student playing soccer be P(S)Using the formula of conditional probability:P(B|S) = P(B ∩ S) / P(S)Where P(B ∩ S) is the probability that a student plays both baseball and soccerP(B ∩ S) = P(B) + P(S) - P(B ∪ S) (Using the formula of probability of the union of two events)Where P(B ∪ S) is the probability that a student plays either baseball or soccer or bothP(B ∪ S) = P(B) + P(S) - P(B ∩ S)Now substituting the values in the formula:P(B|S) = P(B ∩ S) / P(S) => 0.22 = P(B) + P(S) - P(B ∪ S) / 0.32

Now we need to calculate the probability that a student plays either baseball or soccer or both. Using the formula of probability of the union of two events. P(B ∪ S) = P(B) + P(S) - P(B ∩ S)We know :P(B) = 0.18P(S) = 0.32We need to calculate P(B ∩ S) which can be calculated as follows :P(B|S) = P(B ∩ S) / P(S)0.22 = P(B ∩ S) / 0.32 => P(B ∩ S) = 0.22 x 0.32 = 0.0704Now substituting the values in the formula :P(B ∪ S) = P(B) + P(S) - P(B ∩ S)P(B ∪ S) = 0.18 + 0.32 - 0.0704 = 0.4296

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Answer:

The answer is 10.12

Step-by-step explanation:

You add both numbers together and then subtract the sum to the 40 dollars

The particle is at rest during the time intervals where the slope of the tangent is zero, which are from 0 to 2 seconds, 6 to 8 seconds, and 12 to 16 seconds.

The particle described by these position graphs is at rest when the slope of the tangent is zero (i.e., the slope is horizontal) since velocity is the rate of change of position with respect to time (i.e., v = dx/dt), and acceleration is the rate of change of velocity with respect to time (i.e., a = dv/dt).

A particle is at rest when the position vs time graph is flat (i.e., slope = 0) since the rate of change of position with respect to time is zero. The following time intervals are where the particle described by these position graphs is at rest:

Therefore, the particle described by the position graphs is at rest when the slope of the tangent is zero, indicating a horizontal slope.

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Answer:

r = -4

Step-by-step explanation:

-3r+9 = -4r+5

+[4r] +4r

_____________

r+9 = 5

-[9] -9

__________

r = [-4]

Answer:

Step-by-step explanation:

c dude

The global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

To use Lagrange multipliers, we need to define the Lagrangian function as follows:

L(x, y, λ) = f(x, y) - λg(x, y)

where g(x, y) is the constraint function, which in this case is g(x, y) = x^2 + y^2 - 80.

So, we have:

L(x, y, λ) = (x - 1)^2 + (y + 2)^2 - λ(x^2 + y^2 - 80)

Next, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to 0:

∂L/∂x = 2(x - 1) - 2λx = 0

∂L/∂y = 2(y + 2) - 2λy = 0

∂L/∂λ = x^2 + y^2 - 80 = 0

Simplifying the first two equations, we get:

x(1 - λ) = 1

y(1 - λ) = -2

Dividing these two equations, we get:

x/y = 1/-2 => x = -y/2

Substituting this into the constraint equation, we get:

(y/2)^2 + y^2 = 80 => 5y^2 = 320 => y = ±4√5

Substituting this back into x = -y/2, we get:

x = ∓2√5

So, the critical points are (2√5, -4√5) and (-2√5, 4√5).

To determine whether these are maximum or minimum values, we need to compute the second partial derivatives of L:

∂^2L/∂x^2 = 2 - 2λ

∂^2L/∂y^2 = 2 - 2λ

∂^2L/∂x∂y = 0

At the critical points, we have λ = 1/5, so:

∂^2L/∂x^2 = -2/5 < 0, so (2√5, -4√5) is a local maximum.

∂^2L/∂y^2 = -2/5 < 0, so (-2√5, 4√5) is a local maximum.

To determine whether these are global maximum or minimum values, we need to compare the values of L at these critical points and at the endpoints of the constraint region:

L(2√5, -4√5) ≈ 15.314

L(-2√5, 4√5) ≈ 15.314

L(4√2, 0) = 18

L(-4√2, 0) = 18

So, the global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

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the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

What is Equivalence relation?

An equivalence relation is a relation between elements of a set that satisfies three properties: reflexivity, symmetry, and transitivity.

a) To prove that R is an equivalence relation, we need to show that it satisfies three properties: reflexivity, symmetry, and transitivity.

Reflexivity: For any integer m, we need to show that m R m, i.e., 4 |\((m^2 - m^2).\) Since the difference of squares is 0, which is divisible by 4, the relation is reflexive.

Symmetry: For any integers m and n, if m R n, then we need to show that n R m. If 4 | \((m^2 - n^2)\), then \((m^2 - n^2)\) is divisible by 4. Taking the negative of both sides, we have\((-n^2 + m^2) = (m^2 - n^2)\), which is also divisible by 4. Therefore, n R m, and the relation is symmetric.

Transitivity: For any integers m, n, and p, if m R n and n R p, then we need to show that m R p. Suppose 4 |\((m^2 - n^2)\)and 4 \(| (n^2 - p^2)\). This means \((m^2 - n^2) and (n^2 - p^2)\)are both divisible by 4. Adding these two divisibility statements, we get (m^2 - p^2) is also divisible by 4, which implies m R p. Hence, the relation is transitive.

Since the relation R satisfies reflexivity, symmetry, and transitivity, it is an equivalence relation.

b) The distinct equivalence classes of the relation R can be described by the set of all integers that are congruent modulo 4. In other words, each equivalence class contains integers that have the same remainder when divided by 4.

The distinct equivalence classes can be denoted as follows:

[0] = {..., -8, -4, 0, 4, 8, ...}

[1] = {..., -7, -3, 1, 5, 9, ...}

[2] = {..., -6, -2, 2, 6, 10, ...}

[3] = {..., -5, -1, 3, 7, 11, ...}

Each equivalence class consists of integers that satisfy the condition 4 | (m^2 - n^2), and within each class, any two integers have their squares yielding the same remainder when divided by 4.

c) The distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ. A partition of a set is a collection of non-empty, pairwise disjoint subsets whose union is the entire set.

In this case, the equivalence classes [0], [1], [2], and [3] are non-empty and pairwise disjoint because no integer can simultaneously belong to two different equivalence classes. Also, the union of all the equivalence classes covers the entire set of integers, as each integer belongs to exactly one of the equivalence classes.

Therefore, the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

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When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a) executive orders.

Executive orders are directives issued by the President of the United States that have the force of law. They are used to manage and govern the operations of the federal government. In this case, President Eisenhower used his executive authority to deploy the Arkansas National Guard to enforce the desegregation of schools as mandated by the courts.

The Supreme Court's landmark decision in Brown v. Board of Education in 1954 declared that segregation in public schools was unconstitutional. However, resistance to desegregation persisted in some areas of the country, including Arkansas. To ensure compliance with the court's ruling, President Eisenhower exercised his executive power and deployed the National Guard to Little Rock, Arkansas, to protect and enforce the rights of African American students seeking to attend previously all-white schools.

Therefore, President Eisenhower's action of ordering the Arkansas National Guard to enforce court orders to desegregate schools falls under the category of a) executive orders, as he used his executive authority to implement a policy decision.

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Answer:

\(x=±\sqrt[]{4}+9\)

Answer:

\(P = \frac{5}{282} = 0.0177\)

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

\(P(golden) = \frac{N(golden)}{N(total)}\)

\(P(golden) = \frac{4}{48} = \frac{1}{12}\)

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

\(P(granny) = \frac{N(granny)}{N(total)-1}\)

\(P(granny) = \frac{10}{47}\)

The final probability we want is the product of those two probabilities:

\(P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177\)

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

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Answer:

B=28

Step-by-step explanation:

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.

If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as

(c + t) ≤ 19

Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

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Answer:

he would use 1/16 of a liter or 2.11 oz

Step-by-step explanation:

so i took 1/4 and divided up into 4 which is 1/16 and then i took 1/4 liter and divded that up into 4 to get 2.11 oz

Answer: Rational

Step-by-step explanation: because it is a whole positive number.

Answer:

-i

Step-by-step explanation:

i =i

i^2=-1

i^3= -i

i^4=1

i^5=1

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

A

Step-by-step explanation:

because its not an angle

Answer:

i would say a

Step-by-step explanation:

because b c and d sort of have an angle to them but a is straight

so here you the answer is 9

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Answer:

D

(0,25) (1,55) (2,85) (3,115) (4,145)

Step-by-step explanation:

Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.

Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)

Step-by-step explanation: