Which input was substituted into the function f(x) = x to create the given graph? f(x + 2.5) f(x – 2.5) f f (StartFraction 5 Over 2 EndFraction x) f f (StartFraction 2 Over 5 EndFraction x)

According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

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Answer:

-5

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

14-10 = 4

-15--9 =   -6

4/-6= 2/-3

The number of roots in the equation x² - 6x + 9 = 0 is two, ( x = 3 ) double roots.

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the quadratic equation in the question;

x² - 6x + 9 = 0

Compared to the standard form ax² + bx + c = 0

Plug a, b and c into the quadratic formula and solve for x.

x = ( -(-6) ±√((-6)² - 4×1×9 )) / (2×1)

x = ( 6 ±√(36 - 36 )) / (2×1)

x = ( 6 ±√(0 )) / (2)

x = ( 6 ± 0 )/ 2

x = (6-0/)2, x = (6+0)/2

x = 6/2, x = 6/2

x = 3, x = 3.

Therefore, the value of x is 3 ( double root ).

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The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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An ordered pair that describes where the third vertex could be located is: A. (1, 3).

The points where Curtis's house and Jean's house are located is shown in the coordinate grid below.

The number of minutes it would take Curtis to ride from his house to Jean's house is 45 minutes.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

By making time the subject of formula, we have:

Time = distance/speed

Since Curtis can ride his bike at a constant rate (speed) of 12 miles per hour, the number of minutes it would take Curtis to ride from his house to Jean's house can be calculated as follows;

Distance = |-6 - 3| = 9 miles

Time = 12/9

Time = 0.75 hour

Conversion:

1 hour = 60 minutes

Time = 60 minutes × 0.75

Time = 45 minutes

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

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Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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Answer:

2204 + 11x3 + 13x2 + 2x – 8 = x + 4=2251

Step-by-step explanation:

Step-by-step explanation:

yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.

these are the 2 positive integer factors.

if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.

if the number can be divided without remainder by another number, then we are not dealing with a prime number.

but if your teacher did not have these default factors in mind, then no :

example : 15

15 has only 2 factors : 3 and 5.

both are positive integer numbers.

and yet 15 is not a prime number.

but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.

Answer:

Intersect: (4 4/7 , 2 6/7)

Step-by-step explanation:

A: slope (m)= (-10-8) / (-9 - 10) = 18/19

Equation: y-8 = 18/19 * (x-10)

18x -19y = 28      (1)

B: slope (m) = (12 - -2) / (0 - 7) = -2

equation: y-12 = -2 *(x - 0)

2x + y = 12

38x + 19y = 228      (2)

(2) + (1): 56x = 256            x = 4 4/7

y = 12 - 2x = 12 - 64/7 = 2 6/7

The measure of ∠U to the nearest degree using Cosine rule is 154⁰.

The Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The law of cosines states that:

c² = a² + b² - 2ab cos(C)

where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite to the side c.

According to our figure,

UW²=UV²+VW²-2(UV).(VW).Cos V

UW²=1²+2.8²-2(1)(2.8).Cos 17⁰

UW²=3.49

Taking square root on both sides, we get

UW=√3.49

UW=1.87

Now,

Cos U=(UW²+UV²-VW²)/2(UV)(UW)

Cos U=(1.87²+1²-2.8²)/2·(1)·(1.87)

Cos U=-3.34/3.74

Cos U=-0.89

Taking inverse, we get

U=Cos⁻¹(-0.89)

U≈152.37

Rounding to the nearest value in option, we get U=154⁰.

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The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.

Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".

To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:

Percent change = (New value -Old value) /Old value * 100%

Plugging in the values we have:

Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%

= 7.09 trillion / 13.4 trillion * 100%

= 52.84%

Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.

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Answer:

there is one pair of sunglasses right, okay so there are 4 friends also

and if the game was 3 hours then.........

then 4 divided by 3 that would be uh,,,mm sorry i don't know im only in the 5th grade

Step-by-step explanation:

???

Answer:

24

Step-by-step explanation:

hello

let's note x the number we are looking for

\(\dfrac{x}{12}=6\\<=> x = 6*12=72\)

so 1/3 of it equals

\(\dfrac{72}{3}=24\)

another way to see it is that 12=4*3

so 1/3 of it equals 6*4=24

hope this helps

The data cited is in the attachment.

Answer: 308.2±106.4

Step-by-step explanation: To construct a confidence interval, first calculate mean (μ) and standard deviation (s) for the sample:

μ = Σvalue/n

μ = 308.2

s = √∑(x - μ)²/n-1

s = 147.9

Calculate standard error of the mean:

\(s_{x} = \frac{s}{\sqrt{n} }\)

\(s_{x}\) = \(\frac{147.9}{\sqrt{12} }\)

\(s_{x}\) = 42.72

Find the degrees of freedom:

d.f. = n - 1

d.f. = 12 - 1

d.f. = 11

Find the significance level:

\(\frac{1-0.97}{2}\) = 0.015

Since sample is smaller than 30, use t-test table and find t-score:

\(t_{11,0.015}\) = 2.4907

E = t-score.\(s_{x}\)

E = 2.4907.42.72

E = 106.4

The interval of confidence is: 308.2±106.4, which means that dental insurance plan varies from $201.8 to $414.6.

64% percent of students have not passed the first terminology exam.

96/150 = 16/25

16/25 = 64%

The range of miles driven that corresponds to the range of values $12000 to $15000 based on the given formula is (a) 28000 ≤ x ≤ 40000 .

After one year, the value V of the vehicle is between $12,000 and $15,000.

The formula to find the corresponding range of miles X is :

⇒ V = 22000 - 0.25x  ;

We start by equating V to $12000 and solving for x ;

We get ;

⇒ 12000 = 22000 - 0.25x ;

⇒ 0.25x = 10000 ;

⇒ x = 40000 ;

So, at $12,000 value, the vehicle has been driven for 40000 miles .

Next, we equate V to $15000 and solve for x ;

We get ;

⇒ 15000 = 22000 - 0.25x  ;

⇒ 0.25x = 7000  ;

⇒ x = 28000  .

So, at $15000 value, the vehicle has been driven 28000 miles.

Therefore, the range of miles is 28000 ≤ x ≤ 40000  .

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The given question is incomplete , the complete question is

The value V (in dollars) of a vehicle depends on the miles X that it has been driven. This is given in the formula V=22000-0.25x . After one year, the value of a vehicle is between $12,000 and $15,000. Which range of miles driven corresponds to this range of values based on the given formula ?

(a) 28000 ≤ x ≤ 40000

(b) 30000 ≤ x ≤ 40000

(c) 19000 ≤ x ≤ 22000

(d) 18000 ≤ x ≤ 19000

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

2a-12-16b

Step-by-step explanation:

\(4((\frac{a}{2} -3)-4b)=\)\(4((\frac{a-3(2)}{2} )-4b)\)\(=2(a-3(2))-4(4B)=2a-12-16b\)

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer: The bottom diagram from the second picture you sent is the new position of the rectangle

when you rotate the rectangle counter clockwise. it stands erect the lenght longer than the width, the new position is between (-3,4) and (-2, 4), then when shifted to the right 4 units

-1 + 4= 3D

-2 + 4 = 2

then the new postion is between (3,4 ) and ( 2, 4 )

Step-by-step explanation:

Given that,

We have to calculate the area of the square.

⠀⠀⠀⠀⠀★ Area of square = (Side)² ★

\( \dashrightarrow \quad \rm { Area = [10 - 3x(-2)]^2 \; cm^2} \\ \)

\( \dashrightarrow \quad \rm { Area = [10 + 6x]^2 \; cm^2} \\ \)

\( \dashrightarrow \quad \rm { Area = (10)^2 + (6x)^2 + 2(10 \times 6x) \; cm^2} \\ \)

\( \dashrightarrow \quad \rm { Area = 100 + 36x^2 + 2(60x) \; cm^2} \\ \)

\( \dashrightarrow \quad \underline{\boxed{\bf { Area = 100 + 36x^2 + 120x \; cm^2}}} \\ \)

\(\rule{200}2\)

Answer:

36x^2 + 120x + 100 cm^2.

Step-by-step explanation:

[10 - 3x (-2)]

= 10 + 6x

The area = (10 + 6x)^2

= (10 + 6x)(10 + 6x)

= 10*10 + 10*6x + 10*6x + 6x*6x

= 100 + 60x + 60x + 36x^2

= 100 + 120x + 36x^2.

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

The correlation based on the computation is 0.97.

It should be noted that the question is that we should simply calculate the correlation which is r.

The correlation will be:

= Σ(x y) / (Σ(x²) × Σ(y²)

= 9627/✓(1118 × 87982)

= 9627 ✓98363876

= 9627/9917.86

= 0.97

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Answer

Constant of proportionality = 225

Explanation

If y varies directly as x, this can be written as

y ∝ x

Introducing the constant of variation, k, we have

y ∝ x

y = kx

So, for this question,

y = 225x

Constant of proportionality = 225

Hope this Helps!!!

Answer:

48 units²

Step-by-step explanation:

Area=1/2 box=hight

area=1/2×12×8

area=48

hope it helps

have a great day

Answer:

48

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.