What is the value of k?​

The recursive definition of the arithmetic sequence -34, -21, -8 is:

It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

An arithmetic sequence can also be defined recursively, as follows:

In this problem, the sequence is given as follows:

-34, -21, -8.

Hence the first term and the common ratio are given as follows:

Hence the recursive definition of the sequence is:

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Answer:

There is only one way to assign the athletes to the team by giving 5 athletes to each team

Given:

\(ABDF\sim VXZT\)

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

\(ABDF\sim VXZT\)

The corresponding angles of similar polygons are congruent. So,

\(\angle A\cong \angle V\)

\(\angle B\cong \angle X\)

\(\angle D\cong \angle Z\)

\(\angle F\cong \angle T\)

The corresponding sides of similar polygons are proportional. So,

\(\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}\)

Therefore, the required solutions are \(\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T\) and \(\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}\).

Answer:

y=3/5x-26/5

Step-by-step explanation:

y=mx+b

m=3/5

y=3/5x+b

2=x, -4=y

-4=3/5(2)+b

-4-6/5=b

b=-26/5

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

Answer:

4

Step-by-step explanation:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

The meaning of the rate of change in the context of this problem is 4/7.

P-8 / p(14)

8p / p(14) =4/7

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Answer: There is 52.8 ounces of the juice in the cup now.

Step-by-step explanation:

We are given that,

The quantity of juice you initially have = 19.3 ounces

You added 33.5 ounces more to the cup.

Then, By using the addition operation, the total quantity of juice in the cup will be (Juice you initially had) + (additional amount)

i.e. The total quantity of juice in the cup= 19.3 + 33.5 ounces

The total quantity of juice in the cup= 52.8 ounces

Hence, there is 52.8 ounces of the juice in the cup now.

Answer: m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Given: Circle k(O), m NM =65° ∠PNO≅∠PMO

To find: m∠PNO, m∠ONM.

Since, central angle is equal to the measure of minor arc.

⇒∠MON = m NM =65°

In Δ MON , ON = OM [Radii of circle]

⇒ ∠ONM = ∠NMO   (i)   [Angle apposite to equal side of triangle are equal]

In Δ MON , ∠ONM + ∠NMO+∠MON =180°

⇒ ∠ONM + ∠ONM+65°=180°  [from (i)]

⇒ 2∠ONM=115°

⇒ ∠ONM=57.5°

⇒ ∠ONM = ∠NMO =57.5°

Also, an inscribed angle is half of a central angle that subtends the same arc.

⇒∠MPN =half of∠MON

=  \(\dfrac{65^{\circ}}{2}=32.5^{\circ}\)

Also, ∠PNO≅∠PMO  [Given]

⇒∠PNO =∠PMO

⇒ ∠PNO +∠ONM =∠PMO+∠NMO   [∵∠ONM = ∠NMO]

⇒∠PNM=∠PMN

In ΔNPM

⇒ ∠MPN +∠PNM+∠PMN = 180°

⇒ 32.5° +∠PNM + ∠PNM= 180°

⇒ 2(∠PNM)= 147.5°

⇒ ∠PNM = 73.75°

Also,  ∠PNM = ∠PNO+∠ONM

⇒73.75°= ∠PNO+57.5°

⇒ ∠PNO =16.25°

Hence, m∠PNO =16.25°  , m∠ONM=57.5°

Answer:

Answer: m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Given: Circle k(O), m NM =65° ∠PNO≅∠PMO

To find: m∠PNO, m∠ONM.

Since, central angle is equal to the measure of minor arc.

⇒∠MON = m NM =65°

In Δ MON , ON = OM [Radii of circle]

⇒ ∠ONM = ∠NMO   (i)   [Angle apposite to equal side of triangle are equal]

In Δ MON , ∠ONM + ∠NMO+∠MON =180°

⇒ ∠ONM + ∠ONM+65°=180°  [from (i)]

⇒ 2∠ONM=115°

⇒ ∠ONM=57.5°

⇒ ∠ONM = ∠NMO =57.5°

Also, an inscribed angle is half of a central angle that subtends the same arc.

⇒∠MPN =half of∠MON

=  

Also, ∠PNO≅∠PMO  [Given]

⇒∠PNO =∠PMO

⇒ ∠PNO +∠ONM =∠PMO+∠NMO   [∵∠ONM = ∠NMO]

⇒∠PNM=∠PMN

In ΔNPM

⇒ ∠MPN +∠PNM+∠PMN = 180°

⇒ 32.5° +∠PNM + ∠PNM= 180°

⇒ 2(∠PNM)= 147.5°

⇒ ∠PNM = 73.75°

Also,  ∠PNM = ∠PNO+∠ONM

⇒73.75°= ∠PNO+57.5°

⇒ ∠PNO =16.25°

Hence, m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Solution: x=2 ✅

\(\searrow\)

⚜Detailed explanation: ⚜

In this problem we need to solve for x, the unknown.

First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?

\(---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}\)

We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.

\(---\mapsto\boldsymbol{x=2}\) is what we obtain upon dividing

Superb, it's ez as winking!

_________________________________________

Voila! There's our solution!

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

____________________________________________

None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

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Answer:

1. x+2=2x+1 5. 8+x=3x

2-1=2x-x 8 =3x-x

1=x or x=1 8=2x

x=4

2. 2x+7=3x+4 6. 3x+6=6x

2x-3x=4-7 3x-6x=-6

-x=-3 -3x=-6

x=3 x=2

3. 2x-5=x-7. 7. 3x+3=x-5

2x-x= -7+5 3x-x= -5-3

x= -2 2x=-8

x=-4

4. x+6=3x-2 8. 2x+5=4x-1

x-3x= -2-6 2x-4x= -1-5

-2x=-8 -2x= -6

x=4 x=3

Answer:

i dont know just need points

Step-by-step explanation:

☁️ Answer ☁️

My calculator got: 74666667/10000000

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️

Answer:

A = 50°

Step-by-step explanation:

\((2x - 10) + (x + 30) + 70 = 180 \\ 2x + x = 180 + 10 - 30 - 70 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30\)

Then

\(a = 2x - 10 \\ a = 2(30) - 10 \\ a = 60 - 10 \\ a = 50\)

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Triangles.

Since we know that, the Angle sum property of a triangle is equal to 180°.

means that, <A + <B + <C = 180°

so we can write as,

==> 2x-10 + x + 30 +70 = 180°

===>3x +90 = 180

==> 3x = 90

hence, x = 30°

so now, substitute angle x,

So angle A is => 2(30)-10 => 60-10 = 50°

hence Angle A = 50°.

Answer:

the answer is 7.1

Step-by-step explanation:

the tenth is the first number after the decimal point.

Answer:

-11

Step-by-step explanation:

Answer:

Option C. is nonlinear.

There is no specified degree in option C's equation, so it is impossible for it to be a linear equation.

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

D

Step-by-step explanation:

Because the line would be solid, since y is greater than or equal to, and the shaded region would be above, since y is greater than.

Answer:

D

Step-by-step explanation:

The line is solid, because y is greater  than or equal to. So that means it's B or D. The shaded region would be in the upper quadrant, because y is greater than. :)

The length of the shadow of the shorter flag is 3.2 ft.

A flagpole is 20 feet tall in length and casts a shadow that is 4 feet long.

A nearby flagpole is 16 feet tall.

Using proportion,

let

x = shadow of the shorter flag

20 / 4 = 16 / x

Therefore,

cross multiply

20x = 64

divide both sides by 20

20x / 20 = 64 / 20

x = 3.2

Therefore, the length of the shadow of the shorter flag is 3.2 ft.

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Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree:  

3

Leading Term:  

8x^3

Leading Coefficient:  

8

Step-by-step explanation:

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer:

The first one is 2, the second one is 7/8.

Step-by-step explanation:

You can do self-checking.

Answer:

32^⅕ = 2

49/64^½ = ⅞

just use calculator ☺️

The vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩

Given the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y), you are asked to compute f(1,2)−f(0,1).

Step 1: Evaluate f(1,2) and f(0,1).
f(1,2) = ⟨1(2), 1(1)⟩ = ⟨2, 1⟩
f(0,1) = ⟨1(1), 1(0)⟩ = ⟨1, 0⟩

Step 2: Compute f(1,2) - f(0,1).
To find the difference between two vectors, subtract the corresponding components of the vectors.
f(1,2) - f(0,1) = ⟨2, 1⟩ - ⟨1, 0⟩ = ⟨2-1, 1-0⟩ = ⟨1, 1⟩

Therefore, the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

x=5/3

Step-by-step explanation:

3x+2=7

3x=7-2

3x=5

divide

x=5/3

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

A- The side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps is 48 inches

B- The number of square tiles Hector will need is 15 tiles

Step-by-step explanation:

A- The given parameters are;

The size of the tiles cut by the company he found = 60 inches × 60 inches

The length of his shed floor = 240 inches

The width of his shed floor = 144 inches

The side length of the largest square tile is given as the highest common factor, HCF of 240 and 144 given as follows;

144/240 = 3/5

Therefore, we have the highest common factor of 144 and 240 = 144/3 = 48

Therefore, the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps = 48 inches

B- The area of his shed floor = 240 inches × 144 inches = 34560 in.²

The area of one square tile = 48 inches × 48 inches = 2,304 in.²

The number of square tiles, n, Hector will need is given as follows;

The number of square tiles Hector will need = (The area of his shed floor)/(The area of one square tile)

The number of square tiles Hector will need = n =34560 in.²/(2,304 in.²) = 15

The number of square tiles Hector will need = 15 tiles.