a student is tasked with the graphing f(x) =1/x+3 -4. he notes that the graph is a merely translation not f(x) =1/x, requiring shift shift of three units horizontally followed by a shift of four units vertically. is the student correct?

The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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Answer:

So ur answer would be

-19 x^2+ 9xy- 11 y^2

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

Answer:

4

Step-by-step explanation:

44 yeah yeah what about the other

Answer:

f'

Step-by-step explanation:

What?

Yeah I gues well

YEE

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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Answer:

non-proportional

Step-by-step explanation:

This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:

y = 5x

Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"

36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.

proportional:

"corresponding in size, degree or intensity"

"having the same or a constant ratio"

Answer: D

Step-by-step explanation:

According to the question, Silver Lake has a population of 114,000. The population is decreasing at a rate of 1.5% each year

The initial population Po = 114000

Rate = 1.5% = 0.015

The declining population formula will be:

P = Po( 1 - R%)x^2

The decay formula

Since the population is decreasing, take away 0.015 from 1

1 - 0.015 = 0.985

Substitutes all the parameters into the formula

P(s) = 114000(0.985)x^2

P(s) = 114000× 0985x^2

The correct answer is written above.

Since option A does not have square of x, we can therefore conclude that the answer is D - non of the choices is correct.

Answer:

x = 8

Step-by-step explanation:

9(x - 4) = 2(x + 10)

9x - 36 = 2x + 20

7x = 56

x = 8

Please mark as brainliest :)

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

The number of shaded squares changes by 2 in each figure

Therer will be 90 squares shaded in the 50th figure

Step-by-step explanation:

Brainliest PLS

Answer:

1. I'm not exactly sure but I would say that you add two to every square.

2. 90

Step-by-step explanation:

To find the first answer, you just add and count the squares.

To find the second answer, you just add two to every square, up to 50 squares.

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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Answer:

\( \frac{9}{2} \)

\( \frac{13}{3} \)

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

Substituting the values:

\(c^2 = 6^2 + 8^2\)

\(c^2 = 36 + 64\\ c^2 = 100\)

Taking the square root of both sides:

\(c = \sqrt{100} \\ c = 10\)

Therefore, the length of the hypotenuse is 10 units.

Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.

Now we can calculate the area of the circle using the formula:

Area = π \(r^2\)

where r is the radius of the circle.

Area = π \(5^2\)

Area = π × 25

Area = 78.54 square units

Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

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Answer:

M is variable 7.5 is a consant

Step-by-step explanation:

M is variable 7.5 is a consant

The variable of m + 7.5 is 'm'

The coefficient of m + 7.5 is '1'

The constant of m + 7.5 is '7.5'

A variable is "alpha numeric character that expresses a numerical value or a number.

Coefficient is a number which is placed before variable.

A constant is "a number or value".

According to the question,

m+7.5 where 'm' is the variable in this variable coefficient is 1 and the constant of the equation is  7.5

Hence, The variable of m + 7.5 is 'm'

The coefficient of m + 7.5 is '1'

The constant of m + 7.5 is '7.5'

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Answer:

Step-by-step explanation:

Given :

Null Hypothesis :

Alterative Hypothesis

two tailed test

claim is Ha

Alterative Hypothesis: Ha: u ≠ 1

The alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.

An assertion used in statistical inference experiments is known as the alternative hypothesis. It is contradictory to the null hypothesis and denoted by Ha or H1.

Given that the claim in the null us that u = 1.

Since, an alternative hypothesis is one in which the researchers anticipate a difference (or an effect) between two or more variables; thus, the observed pattern of the data is not the result of chance.

Therefore,

The alternative would be that u is not equal to 1.

Hence, the alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.

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Answer:

A. \(\frac{24}{25}\)

It can be shown that each function is measurable and increasing, and that function converges pointwise to f as n → ∞. Moreover, since h is greater than or equal to f.

Mathematics is the study of integers, their variants, arithmetic, as well as the investigation of the region's anatomy, structures, and the both their actual and imagined locations. A function explains the relationship between a number of factors, each of which has a corresponding outcome. A function is made up of a variety of components that, when put together, produce a unique outcome for each input.

Here,

First, let g be any lower semi-continuous function that is greater than or equal to f. We can define a sequence of functions {g_n} as follows:

g_n(x) = inf{g(y) + 1/n : y ∈ X, g(y) + 1/n ≥ g(x)}

Note that since g is lower semi-continuous, the set {y ∈ X : g(y) + 1/n ≥ g(x)} is open for each x in X, so the infimum is taken over an open set.

It can be shown that each g_n is lower semi-continuous and increasing, and that g_n converges pointwise to g as n → ∞. Moreover, since g is greater than or equal to f, we have g_n ≥ f for all n.

By the monotone convergence theorem, we have:

∫ g_n dμ → ∫ g dμ as n → ∞

But since g_n is increasing and g_n ≥ f for all n, we have:

∫ g_n dμ ≥ ∫ f dμ

Therefore, we have:

∫ g dμ = lim_{n → ∞} ∫ g_n dμ ≥ ∫ f dμ

Since this inequality holds for any lower semi-continuous function g that is greater than or equal to f, we have:

∫ f dμ ≤ inf{∫ g dμ : g is lower semi-continuous and g ≥ f}

∫ h_n dμ < L + 1/n

We can define a sequence of functions {f_n} as follows:

f_n(x) = inf{h(y) : y ∈ X, h(y) ≥ f(x) and h(y) < f(x) + 1/n}

It can be shown that each f_n is measurable and increasing, and that f_n converges pointwise to f as n → ∞. Moreover, since h is greater than or equal to f,

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Answer :

Step by step explanation

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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Answer:

10 + -6

Step-by-step explanation:

add them up to 4 and multiply to -60

Answer:

Step-by-step explanation:

From the graph we can get the intercepts:

The rate of change (slope) is:

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

\(2x-3(0)=-19\)

\(2x=-19\)

\(x=-19/2\)

To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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R₁-->43(R₁)+9(R₂) is the row operation we apply to make 1 in the 1st row and a column.

The given matrix is \(\left[\begin{array}{ccc}9&4&-9\\-43&-19&44\end{array}\right]\)

We have to make 1 in row 1 and column 1

We have to apply a row operation to make 1 in the row 1 and column 1

R₁-->43(R₁)+9(R₂)

\(\left[\begin{array}{ccc}0&1&9\\-43&-19&44\end{array}\right]\)

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