Line AD is parallel to line HE, what is the value of x?

The hybrid factor is f(w) Equals 50w + 25 according to the preceding statement. The hybrid value is measured in units of f (flowers) and w (weeks), etc. 30 weeks of Part A's synthesis function equal 1525.

A task is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is just the input value, we would state that y is a mathematical function

Given that:

f(s) = 2s + 25

s(w) = 25w

The following combination function is used to determine how many flowers will blossom over the course of w weeks: f(w)

f(s) = 2s + 25

Replace s with s(w)

f(s(w)) = 2(s(w)) + 25

Substitute s(w) = 25w

f(s(w)) = 2(25w) + 25

f(s(w)) = 50w + 25

Hence,

f(w) = 50w + 25

Flowers are used as the units of measurement for f(w).

30 weeks of flowers translates to:

w = 30

So, we have:

f(30) = 50*30+25

f(30) = 1525

Thus, there will be 1525 blossoms throughout the course of 30 weeks.

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Answer:

Let the number of the passed candidates = x.Then the number of the failed candidates = 120 - x.Now the total of the marks obtained by 120 candidates = 120

Step-by-step explanation:

The correct option is B 100Here, total marks obtained by 120 students = 120 × 35 = 4200 Let the number of passed candidates = Then, total marks obtained

Answer:

We can use the formula A = P(1 + r/n)^(nt) to find out how long it takes for William's money to triple, where A is the final amount, P is the principal, r is the interest rate, t is the time in years and n is the number of times the interest is compounded per year.

A = P(1 + r/n)^(nt) = 550(1 + 0.02/12)^(12*t) = 3P

Solving for t we get

t = (ln(3)/ln(1+0.02/12))/12 = 49.41

For Violet's account, using the formula A=Pe^(rt) where A is the final amount, P is the principal, r is the interest rate, t is the time in years, we get:

t = ln(3) / (2 * e^-2) = 49.41

Therefore, it will take approximately 49.41 years for William's money to triple, and 49.41 years for Violet's money to triple.

So the difference in time is 0.

When n is known to be an integer, the formula for m also produces an integer. The assumption is confirmed once the necessary integer m was located.

Positive, negative, and zero are all examples of integers. As a result, integers include numbers like 0, 1, 2, 3, as well as -1, -2, and 3. There are no additional parts, such as fractions or decimals, in integers. As a result, fractional values like 3 1/2 and decimal numbers like -7.5 are NOT integers. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers. The fundamental arithmetic operations are included in integer operations (addition, subtraction, multiplication and division). In mathematics, integers are any numbers that are either positive, negative, or zero, with the exception of fractions. As a result, operations on integers are simple.

given

Any whole number that is a multiple of 3 is a type 0 integer. Examples are 3, 6, 9, and 12.

n=1: 3(1)=3

n=2: 3(2)=6

n=3: 3(3)=9

n=4: 3(4)=12

When n is known to be an integer, the formula for m also produces an integer.

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The values of x and y in the trapezoid are x = 15 and y = 3

You should understand that a trapezoid or trapezium is a quadrilateral having two parallel sides and two non-parallel sides

If the trapezoid is isosceles, angles A and C are supplementary, so ...

(4x+4) +(7x+11) = 180

This implies that

11x +15 = 180

Collecting  terms we have

11x = 165 . . . . . . . . . subtract 15

x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

4·15 +4 = 21y +1

63 = 21y . . . . . subtract 1

3 = y . . . . . . . . divide by the coefficient of y

In conclusion x and y are 15 and 3

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Answer: The bag of seeds covers 5656 square feet and is 1/3 pound. To find how many square feet the seeds cover per pound, we can divide the total coverage by the weight of the bag.

Formula: Coverage per pound = Total coverage/weight of the bag

5656 / (1/3) = 5656*3 = 16,968 square feet per pound.

Step-by-step explanation:

Step-by-step explanation:

that means we have to calculate the volume of that cylinder ?

as the decryption says : the volume is

base area × height

or

Bh

base area = 5.4 in²

height = 8 in

the volume is

5.4 × 8 = 43.2 in³

The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.

If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:

v=Q/A,

where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.

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[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{3f + 4f = 21}[/tex]

[tex]\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{(3f + 4f) = 21}[/tex]

[tex]\mathsf{3f + 4f = 21}[/tex]

[tex]\mathsf{7f = 21}[/tex]

[tex]\textbf{DIVIDE 7 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{7f}{7} = \dfrac{21}{7}}[/tex]

[tex]\textbf{SIMPLIFY it!}[/tex]

[tex]\mathsf{f = \dfrac{21}{7}}[/tex]

[tex]\mathsf{f = 3}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{f = 3}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

The statement that best interprets the value 29,864 in the quadratic regression equation (y = -0.004·x² + 34.637·x - 29,864) for the data in the table forecasting the company's profit based on the number of units sold is the option;

A regression equation is an equation that aims at discovering the relationship between a dependent or output variable and the input or independent variable.

The possible data in the question, obtained from a similar question, posted online, is presented as follows;

Number of Units[tex]{}[/tex] Profits ($)

500 [tex]{}[/tex]                  -10,000

1200  [tex]{}[/tex]                3000

2500 [tex]{}[/tex]                27000

3200 [tex]{}[/tex]                40000

3600 [tex]{}[/tex]                45000

4300 [tex]{}[/tex]                47000

5000 [tex]{}[/tex]                45000

6750 [tex]{}[/tex]                20000

Based on the above data, using the Polynomial trendline option of Order 2, in MS Excel, the quadratic regression equation, obtained using the Display Equation on chart option is; y = -0.004·x² + 34.637·x -29,864

The function, f(x) = -0.004·x² + 34.637·x -29,864, indicates that at x = 0, which is the point where 0 units have produced, we get;

Initial Profits = f(0) = -0.004 × 0² + 34.637 × 0 -29,864 = -29,864

The value, -29,864 indicates a loss of $29,864, therefore;

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Answer:

Step-by-step explanation:

The company has an initial loss of about $29,864

Answer:

90°

Step-by-step explanation:

So we know that ∠PRM is 120° and that line m would be 180°, we would subtract 120 from 180 to get 60°.

So ∠PRQ is 60°.

All the angles of a triangle equals to 180°.

∠PQR is given as 30°. So we will need to add 60+30=90.

180-90=90. So ∠QPR is 90°.

Answer:

12 people

Step-by-step explanation:

Total people in the company = 120

No. of People who assemble yo- yo's = 120 × (60/100

                                                               = 72

Now, we need 70% of the total people to assemble yoyo = 120 × (70/100)

                                                                                                = 84

We already have 72 people assembling yoyo,

No. of more people needed =  84 - 72 = 12

Hence, if we have 12 more people from other departments, 70% of the total people would be assembling yo-yo's.

A integer, a constant, or a mix of both, combined with specific operation symbols, make up an expression 3r+ 37.5 is the equation.

A number, a constant, or a mix of both, combined with specific operation symbols, make up an expression. An expression can only be an exponential function if it contains both an operators and a variable. Any unknown term can be used as a factor, together with the operator + and -. Examples of such terms include x, y, and z. Since 5 isn't an exponential function, it can be claimed that it.

Here,

Given :

It is reasonable to assume that r = n rides. Since each ride costs $3 ($3xr), the total cost is $3.

In addition, we know that FIVE people, including Tory and every one of her friends, will be at the fair. The entrance fee is $7.50, therefore we can increase it by five to reach $37.5.

That is $3r plus $37.5.

Therefore, the equation is $37.5 + $3r, where r seems to be the total of rides taken by Tory and his friends.

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No, the given measurement of the sides of a triangle does not forms a right angled triangle.

As given in the question,

For the given triangle,

Length of the sides of the triangle is given by :

8cm , 5 cm , and 10cm

In the given triangle longest side is equal to 10cm

Condition for a right angled triangle:

Longest side is the hypotenuse of the right angled triangle.

By Pythagoras theorem we have,

( Hypotenuse )² = ( Side1)² + ( Side 2)²

R.H.S. ( Right hand side )

= ( 8 )² + (5 )²

= 64 + 25

= 89

≠ 10²

Here given length side of a triangle does not satisfies the Pythagoras theorem .

Therefore, the given sides of a triangle is not representing a right angled triangle.

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Answer:

hard

Step-by-step explanation:

ybfhf

(a) The value of the tension in wire BC will be = 80.4 N

(b) The value of the speed of the hammer’s head will be = 2.30 m/s

Mass of the head of the hammer = 7.1 Kg.

The speed at which it is revolving = v

value of ρ=0.93 m

The value of the angle θ=60°

Tension is described as the force transferred through a rope, string, or wire when pushed by opposing forces. The tension force is directed along the length of the wire and draws energy evenly on the bodies at the ends.

(a) Now, we will first calculate the value of the tension in wire BC,

First, we will note

[tex]$$a_A=a_n=\frac{v_A^2}{\rho}$$[/tex]

(a)

[tex]$+\Sigma F_y=0: T_{B C} \sin 60^{\circ}-W_A=0$[/tex]

or we can write it as:

[tex]$$\begin{aligned}T_{B C} & =\frac{7.1 \mathrm{~kg} \times 9.81 \mathrm{~m} / \mathrm{s}^2}{\sin 60^{\circ}} \\\end{aligned}$$[/tex]

=> =80.426 N

=>= 80.4 N (approx)

(b) Now calculate the speed of the hammer’s head.

[tex]$\quad+\Sigma F_x=m_A a_A: T_{B C} \cos 60^{\circ}=m_A \frac{v_A^2}{\rho}$[/tex]

or

[tex]$$v_A^2=\frac{(80.426 \mathrm{~N}) \cos 60^{\circ} \times 0.93 \mathrm{~m}}{7.1 \mathrm{~kg}}$$[/tex] = 2.30 m/s

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Note: The correct question may be like this:

During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed v in a horizontal circle as shown. If ρ=0.93m and ,θ=60° determine (a) the tension in wire BC, (b) the speed of the hammer’s head.

The needed diagram is attached below

Answer:

3, 5, 7, 9, 11

Step-by-step explanation:

the recursive formula allows a term to be found by adding 2 to the previous term, that is

u₁ = 3

u₂ = u₁ + 2 = 3 + 2 = 5

u₃ = u₂ + 2 = 5 + 2 = 7

u₄ = u₃ + 2 = 7 + 2 = 9

u₅ = u₄ + 2 = 9 + 2 = 11

the first 5 terms are 3, 5, 7, 9, 11

The best description of the offspring of Protists is D. sometimes genetically different than both parents

Asexual reproduction in protists includes methods such as binary fission, budding and fragmentation, in these methods the offspring are always genetically identical to one parent.

Sexual reproduction in protists can be through conjugation, meiosis, or syngamy, in this case the offspring are not always genetically identical to one or both parents. It is possible for the offspring to be genetically different from both parents due to the genetic recombination that occurs during sexual reproduction.

So, the statement that best describes the offspring of protists is "sometimes genetically different than both parents" as it depends on the type of reproduction method used.

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Yes 1.5 is the same as one and a half

Answer: Yes

Step-by-step explanation:

1/2 = a half 1/2 also = 0.5     1 + 0.5 = 1.5 or 1 and 1/2

The approximate solution of the polynomial in the interval -2≤ x ≤-1 is given as follows:

x = -1.5.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant divided by the factors of the leading coefficient.

The polynomial for this problem is given as follows:

8x³ + 3x² - 7x + 6.

Hence the leading coefficient and the constant are given as follows:

The factors of the leading coefficient and of the constant are given as follows:

Hence the possible roots are given as follows:

±1, ±2, ±3, ±6, ±0.5, ±1.5, ±0.25, ±0.75, ±0.125, ± 0.375.

The only possible root between -2 and -1 is given as follows:

x = -1.5.

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Answer:

--------------------------

Given:

Solve it in below steps:

Answer:

[tex] \sf \: v \geqslant 13.2[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of v.

The equation is,

→ 5 + 12.5v ≥ 170

Then the value of v will be,

→ 5 + 12.5v ≥ 170

→ 12.5v ≥ 170 - 5

→ 12.5v ≥ 165

→ v ≥ 165 ÷ 12.5

→ [ v ≥ 13.2 ]

Hence, the value of v is 13.2.

Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.  

Let x = length of the portion that is bent into a circle

Then, 10-x = length bent into a square

Each side of the square has length (10-x)/4

So, area of square = (10-x)2/16

x = circumference of circle = 2πr   So, r = x/(2π)

Therefore, Area of circle = πr2 = x2/(4π)

T = total area = (10-x)2/16 + x2/(4π)

                    = [(10-x)2π + 4x2 ]/(16π)

                    = [(100-20x+x2)π + 4x2]/(16π)

                    = [(4+π)x2 -(20π)x+100π]/(16π)

                    = [(4+π)/(16π)]x2 - (5/4)x + (25/4)

The graph of T is a parabola opening upward.  The minimum of T occurs at the vertex of the parabola.  

The x coordinate of the parabola is (5/4)/[(4+π)/(8π)] = (10π)/(4+π) ≈ 4.4  

Thus, Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.  

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Answer:

77 cups

Step-by-step explanation:

88 ounces/ day = 11 cups/ day
A week = 7 days
=> 11 x 7 = 77 cups/week

The compound inequality represents the range of the amounts of money a student can brings  $65 ≤ x ≤ $135

Start by setting up the inequality with the variable x, representing the amount of money a student can bring:

x

2. The inequality should be less than or equal to the maximum amount of money a student can bring, which is $135:

x ≤ 135

3. The inequality should also be greater than or equal to the minimum amount of money a student can bring, which is $65:

65 ≤ x

4. Combine the two inequalities to get the compound inequality:

65 ≤ x ≤ 135

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Answer: W = 7, L = 14

Step-by-step explanation: L = 2W. 2L + 2W = 42. Plug in L and we get 4W + 2W = 42. 6W = 42. W = 7. L = 14

The total cost of the meal was $16.189.

What is the sales tax?

A sales tax is a consumption tax that is added to the price of goods and services. It is usually a percentage of the purchase price, and the percentage varies depending on the location and type of product or service.

We are trying to find the total cost of the meal including the sales tax. To do this, we need to calculate the amount of tax and add it to the cost of the meal.

The cost of the meal before tax is $15.20 and the sales tax rate is 6.5%. To find the amount of sales tax, we can multiply the cost of the meal by the sales tax rate as a decimal.

$15.20 x 0.065 = $0.989

The amount of sales tax is $0.989.

To find the total cost of the meal, we can add the amount of sales tax to the cost of the meal before tax.

$15.20 + $0.989 = $16.189

Hence, The total cost of the meal was $16.189.

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The probability of each outcome is 1/12 or 0.083.

The probability of each outcome in the sample space can be calculated using the formula for permutations. The formula for permutations is nPk = n!/(n-k)!. In this case n is the number of gift cards (4) and k is the number of gift cards to be selected (2).  In this example, the sample space consists of 16 possible outcomes, and each outcome is equally likely. Thus, the probability of each outcome is 1/16. To calculate this, divide 1 by the total number of outcomes (16). This results in the probability of each outcome being 1/16.Therefore, nPk = 4P2 = 4!/2! = 12. Since each outcome is equally likely, the probability of each outcome is 1/12 or 0.083. This can be written as a fraction as 1/12 or as a decimal as 0.083.

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A Graph comprise of nodes and edges. The nodes are sometimes also denoted to as vertices and the edges are lines or arcs that joins any two nodes in the graph.

1. Finite Graphs: A graph is said to be limited if it has a finite number of vertices and a finite number of edges.

2. Infinite Graphs: A graph is said to be infinite if it has an unlimited number of vertices as well as an unlimited number of edges.

3. Trivial Graph: A graph is said to be trivial if a finite graph consists of only one vertex and no edge.

4. Regular Graph: A simple graph is called to be regular if all vertices of graph G are of equal degree.

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