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Hello,

2x² - 9x - 35 = 0

a = 2 ; b = -9 ; c = -35

∆ = b² - 4ac = (-9)² - 4 × 2 × (-35) = 361 > 0

x1 = (-b - √∆)/2a = (9 - 19)/4 = -10/4 = -5/2

x2 = (-b + √∆)/2a = (9 + 19)/4 = 28/4 = 7

S = {-5/2 ; 7}

Answer:

So x = -5/2, 7.

Step-by-step explanation:

2x^2 - 9x - 35 = 0

Let's see if we can factor this.

We need 2 numbers whose product is  2* -35 ( that is -70) and whose sum is -9.

They are -14 and 5, so we write:

2x^2 - 14x + 5x - 35 = 0

Now we factor by grouping:

2x(x - 7) + 5(x - 7) = 0

(2x + 5)(x - 7) = 0

So x = -5/2, 7.

Spatial join, selecting by location, and intersect function are all used in GIS to combine or extract spatial information from multiple layers. The primary characteristics that distinguish a spatial join from selecting by location and intersect function are:

In summary, the primary characteristic that distinguishes a spatial join from selecting by location and intersect function is that a spatial join combines layers based on their spatial relationship, while selecting by location and intersect function extract features based on their spatial relationship.

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Answer:

The equation is true/ or an identity

Step-by-step explanation:

Plug in 7 for x, you get

2(7)+3=17

14+3=17

17=17

Answer:

Step-by-step explanation:

2x+3=17 and x =7

Since x is equal to 7 we are going to substitute it in the equation.

I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.

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Answer:

(3,7)

Step-by-step explanation:

The midpoint is the mean between two endpoints.

In this question:

Endpoints (x,y) and X(13,5)

Midpoint M(8,3)

We have to find the point (x,y).

We have that:

8 = (x + 13)/2

x + 13 = 2*8

x + 13 = 16

x = 3

5 = (y+3)/2

y + 3 = 2*5

y + 3 = 10

y = 10 - 3

y = 7

The endpoint is (3,7)

The required area of the circle with diameter 15.8 cm is 196.06 cm^2.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

To find the area of a circle, we use the formula: pi * (radius)^2. The diameter of the circle is given as 15.8 cm,

so the radius can be calculated by dividing the diameter by 2,

giving us a radius of 15.8 cm / 2

= 7.9 cm.

Plugging the radius into the formula, we get:

pi * (7.9 cm)^2

= 3.14 * 62.41.

Finally, rounding the answer to the nearest hundredth, we get: 62.41 * 3.14

= 196.06 cm^2.

Thus, requi9red answer is 196.06 cm^2.

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The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).

Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).

Combining everything, we get the following equation:

m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.

where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.

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Using the percent error concept, it is found that:

Hence, the percent error of each person is given by:

\(P_{H} = \frac{|525 - 625|}{625} \times 100\% = 16\%\)

\(P_{B} = \frac{|380 - 310|}{310} \times 100\% = 22.58\%\)

\(P_{D} = \frac{|700 - 775|}{775} \times 100\% = 9.68\%\)

\(P_{S} = \frac{|205 - 250|}{250} \times 100\% = 18\%\)

Hence:

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Answer:

\(a_{n}\) = 4n + 5

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = a₂ - a₁ = 13 - 9 = 4 , thus

\(a_{n}\) = 9 + 4(n - 1) = 9 + 4n - 4 = 4n + 5

Answer:

the question is not complete pls complete the question even though the formulas are lxb for rectangles area and SxS for squares area

Answer:B)  5

Step-by-step explanation:

Answer:

liar is 10

Step-by-step explanation:

Answer:

J. \(x=125\)

Step-by-step explanation:

\(log_{2} 24 - log_{2}3 =log_{5} x\)

\(4.5- 1.5 =log_{5} x\)

\(x=(log_{5})^{-1} (3)\)

\(x=125\)

Answer:

Option (1)

Step-by-step explanation:

As we know, sum of an infinite geometric series,

\(S=\frac{a}{1-r}\)

Here a = first term of the series

and r = common ratio.

If |r| < 1  Series converges

If |r| ≥ 1  Series diverges

For Option (1),

S = 262 + 301.3 + 346.5.........

Common ratio = \(\frac{301.3}{4.2}\) = 1.15

Since |r| = 1.15 > 1

Series will diverge

Option (2),

S = 4.2 + 3.57 + 3.0345..........

Common ratio = \(\frac{3.57}{4.2}\) = 0.85

Since |r| < 1

Series will converge.

Option (3),

S = 6651 + 729 + 81........

Common ratio = \(\frac{729}{6651}\) = 0.11

Since |r| < 1

Series will converge.

Option (4),

S = 100, 50, 25...........

Common ratio = \(\frac{50}{100}=\frac{1}{2}\)

Since |r| < 1

Series will converge.

Option (1) will be the answer.

\(\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}\)

12×60%=

\( \bf \textcolor{green}{ \underbrace{7.2}}\)

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

\(\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer\)

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

Using the slope formula (y₂ - y₁/x₂ - x₁):

∴ Any number divided by 0 is undefined

Thus, the slope and the y-intercept are undefined.

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Graph attached

The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.

We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.

Substituting the value of n = 7, we get:

Relationship Codes = (7 * (7-1)) / 2

= (7 * 6) / 2

= 42 / 2

= 21

Therefore, there will be 21 relationship codes in the chart.

Create an activity relationship diagram:

An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:

Receiving --+

           +-- Assembly & Shipping -- Offices

Fabrication--+

           +-- Painting -- Stores

Restrooms & Lockers

Populate the diagram with codes for all the relationships:

To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:

Receiving (R) --+

               +-- Assembly & Shipping (AS) -- Offices (O)

Fabrication (F)--+

               +-- Painting (P) -- Stores (S)

Restrooms & Lockers (RL)

What is the percentage of codes in each category? Does it follow the standard percentages?

To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).

In this case, we have the following categories and their respective codes:

Production: R, F, AS, P (4 codes)

Administration: O, S (2 codes)

Support: RL (1 code)

Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%

Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%

Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%

These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.

Provide at least 3 reason codes for the chart:

Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:

R01: Receiving department receives raw materials and supplies from external sources.

AS01: Assembly & Shipping department assembles products and prepares them for shipment.

O01: Offices department provides administrative support and management functions for the organization.

Create a worksheet to assist in the creation of the dimensionless block diagram:

Here's an example of a worksheet that can assist in creating the dimensionless block diagram:

Relationship Code From Department To Department

R Receiving Fabrication

F Fabrication Painting

AS Assembly & Shipping Offices

P Painting Stores

RL Restrooms & Lockers -

O Offices -

S Stores -

This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.

Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:

A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:

Receiving --> Fabrication --> Painting --> Stores

                  |

                  v

        Assembly & Shipping --> Offices

                  |

                  v

       Restrooms & Lockers

The arrows indicate the flow of activities or information from one department to another.

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The correct option is 'The domain of both functions is all real numbers'.

According to statement

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R=  { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.

DISCLAIMER: The question was incomplete. Please find the full content below.

QUESTION

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

Which statements could he include in his explanation? Check all that apply.

1. The domain of both functions is all real numbers.

2. The domain of f(x) is x > 5.

3. The domain of g(x) is x > 5.

4. The range of both functions is y > 5.

5. The range of f(x) is y > 0.

6. The range of g(x) is y > 0.

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Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

Equation for x

x=6t−2

Equation for y

y=−3t+5

Direction vector

6

-3

a) the decay rate, k, of palladium-103 is: k ≈ 0.04307 (rounded to five decimal places)

b) The amount of energy transmitted in a given time period:

E = E₀ * \(e^{-0.04307*1/3}\)

c) Total Energy = E₀ * ∫(0 to 1) \(e^{-0.04307t}\) dt

d) the total amount of energy transmitted if 11 rems are received in a year:

11 = E₀ * ∫(0 to 1)  \(e^{-0.04307t}\) dt

Here, we have,

a) To find the decay rate, k, of palladium-103, we can use the formula:

k = ln(2) / t₁/₂

where t₁/₂ is the half-life of the radioactive material. For palladium-103, t₁/₂ is 16.09 days.

Plugging in the values:

k = ln(2) / 16.09

Using a calculator, we find:

k ≈ 0.04307 (rounded to five decimal places)

b) The amount of energy transmitted in a given time period can be calculated using the formula:

E = E₀ * \(e^{-kt}\)

where E₀ is the initial amount of energy and t is the time in years.

In this case, we want to find the amount of energy transmitted in the first four months, which is 4/12 = 1/3 year.

Using the given decay rate k ≈ 0.04307, we can calculate:

E = E₀ * \(e^{-0.04307*1/3}\)

c) The total amount of energy that the implant will transmit to the body can be found by integrating the energy transmission function over the desired time period.

Since the implant is never removed and the decay is continuous, the total energy transmitted over an infinite time period would be:

Total Energy = E₀ * ∫(0 to ∞) * \(e^{-kt}\) dt

To find the total amount of energy transmitted over a year, we can substitute the value k ≈ 0.04307 and integrate over the range 0 to 1:

Total Energy = E₀ * ∫(0 to 1) \(e^{-0.04307t}\) dt

d) To find the total amount of energy transmitted if 11 rems are received in a year, we can set up the equation:

11 = E₀ * ∫(0 to 1)  \(e^{-0.04307t}\) dt

We can solve this equation for E₀.

Note: For part d), the equation cannot be solved without numerical methods or approximation techniques.

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Answer:

68

ignore the rest of this i need 20 charecters

Answer:

68%

Step-by-step explanation:

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

not significantly more than 3 minutes.

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

1. The null hypothesis is that the population mean is equal to 3 minutes.

2. A sample of 100 customers was taken, with an average length of calling time of 3.1 minutes and a sample standard deviation of 0.5 minutes.

3. The p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

4. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

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To know how many metric tons of water fell on the city, we'll solve the given questions step by step. In Part A, 2 cm^3 of water corresponds to 1 * 10^-4 metric tons. In Part B, 1 cm^3 of water corresponds to 1 metric ton.

In Part A, we are given that 2 cm^3 of water has a mass of 1 gram (10^-1 kg), and we need to determine the amount of water in metric tons. Since 1 metric ton is equal to 10^3 kg, we can convert the mass of water from grams to metric tons by dividing it by 10^3. Therefore, the amount of water that fell on the city is 1 * 10^-1 kg / 10^3 kg = 1 * 10^-4 metric tons.

Moving on to Part B, we are given that 1 cm^3 of water has a mass of 1 gram (10^3 kg). Similar to the previous calculation, we divide the mass of water by 10^3 to convert it to metric tons. Thus, the amount of water that fell on the city is 1 * 10^3 kg / 10^3 kg = 1 metric ton.

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The length of the woman's shadow is increasing at a rate of 2 ft/sec when she is 30 ft from the base of the pole.

To determine how fast the length of her shadow is changing, we can use similar triangles. Let's denote the length of the shadow as s and the distance between the woman and the pole as x. Since the woman is walking away from the pole along a straight path, the triangles formed by the woman, the pole, and her shadow are similar.

The ratio of the height of the pole to the length of the shadow remains constant. This can be expressed as (20 ft)/(s) = (6 ft)/(x). Rearranging this equation, we have s = (20 ft * x) / 6 ft.

Now, we differentiate both sides of the equation with respect to time t. Since the woman is walking away from the pole, x is changing with time. Therefore, we have ds/dt = (20 ft * dx/dt) / 6 ft.

Given that dx/dt = 6 ft/sec (the woman's speed), and substituting x = 30 ft into the equation, we can calculate ds/dt. Plugging the values into the equation, we get ds/dt = (20 ft * 6 ft/sec) / 6 ft = 20 ft/sec.

Hence, the length of the woman's shadow is increasing at a rate of 20 ft/sec when she is 30 ft from the base of the pole.

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Answer:

the fraction 3/12

Step-by-step explanation:

it is saying that x/12 = 1/4

x = 1 × 12 / 4

x = 12/ 4

x = 3

the fraction 3/12