CAN SOMEONE HELP WITH THIS?✨

CAN SOMEONE HELP WITH THIS?

Answers

Answer 1

The number of GPUs produced with a marginal cost of $410 is of:

x = 40 or x = 161.

How to obtain the number of GPUs?

The quadratic function for this problem is defined as follows:

C(x) = 0.03x² - 6x + 600.

In which:

C is the marginal cost.x is the number of GPUs.

For a cost of $410, the number of GPUs is obtained solving the quadratic function as follows:

410 = 0.03x² - 6x + 600.

0.03x² - 6x + 190 = 0.

The coefficients are given as follows:

a = 0.03, b = -6, c = 190.

Inserting these coefficients into a quadratic function calculator, the positives solutions is given as follows:

x = 40 or x = 161.

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Related Questions

Assign a variable solveEquation with a function expression that has three parameters (x, y, and z) and returns the result of evaluating the expression 2 * x * y Z?

Answers

The program for assigning variable and solving expression 2 * x * y - z is -

def func1(x, y, z):

  return 2*x*y - z

x= int(input("Enter x"))

y= int(input("Enter y"))

z= int(input("Enterz"))

solveEquation=func1(x, y, z)

print (solveEquation)

What is Expression in Code?

Expressions in computer science are written by developers, interpreted by computers, and 'evaluated.' The evaluation yields a result or return. Expressions in code include simple mathematical equations like 2 + 2. They are commonly referred to as arithmetic expressions.

The program for the condition given is -

def func1(x, y, z):

  return 2*x*y - z

x= int(input("Enter x"))

y= int(input("Enter y"))

z= int(input("Enterz"))

solveEquation=func1(x, y, z)

print (solveEquation)

Therefore, the coding has been done.

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What type of variable is a coin flip?

Answers

The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

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The coin flip is random variable.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.

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3x+4y=6
8x-4y=5
( equation)

Answers

On solving the provided question, we can say that the equations are 3x+4y=6 and 8x-4y=5 => x = 1 and y = 3/4

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equations are

3x+4y=6

8x-4y=5

adding both equation

11x = 11

x = 1

y = 3/4

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An experienced roofer with Stark Vegas roofing company can install a new roof in 24
hours. Together with a new trainee they can install a new roof in 15 hours. How long
would it take the trainee working by himself to install a new roof? Round to the nearest
tenth.

Answers

Answer:

40 hours

Step-by-step explanation:

This is an example of a work-rate-time problem

Since the experienced roofer can finish the job in 24 hours, his rate of work would be 1/24 (of the roof) per hour

Let the time taken by the trainee alone be x hours

His rate of work = [tex]\dfrac{1}{x}[/tex]

Together they finish the roof in 15 hours
So combined work rate = [tex]\dfrac{1}{15}[/tex]

Since combined rate = sum of individual rates we get

[tex]\dfrac{1}{24} +\dfrac{1}{x} = \dfrac{1}{15}[/tex]

Move 1/24 to the right side:
[tex]\dfrac{1}{x} = \dfrac{1}{15} - \dfrac{1}{24}[/tex]

[tex]\dfrac{1}{x} =\dfrac{24 - 15}{24\cdot 15} = \dfrac{9}{360}\\\\[/tex]

Taking reciprocals on both sides

[tex]x = \dfrac{360}{9} = 40 \;hours[/tex]

With her new company, Annika has a two-year assignment living in a large city. The company will reimburse most of her expenses. Annika is using the Quantitative Reasoning Process to build a budget. Calculate Annika's estimated living expenses for the next two years using the following:

Rent: $1,050 per month, Gym membership: $325 per year with a monthly fee of $35, Renters' insurance: $70 every 6 months, Groceries: $300 per month, and Eating out & entertaining: $150 per week.

Assume 52 weeks in 1 year and 12 months in 1 year.

(Round your answer to the nearest whole dollar)

Answers

The solution is, Total estimated living expenses = $53,900.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Estimated expenses for next 2 years:

Rent = 1100 * 12 * 2 = 26,400

Gym membership = 450 * 2 = 900

Gym monthly fee = 40 * 12 * 2 = 960

Renter's insurance = 60 * (12 * 2 / 6) = 240

Groceries = 300 * 12 * 2 = 7200

Eating out & entertainment = 175 * 52 * 2 = 18,200

Total estimated living expenses = $53,900

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Match each formula on the left side to an equivalent formula on the right side A=BC+D

Answers

We can see that matching each formula on the left side to an equivalent formula on the right side, we have:

A = BC + D ------ B = A - D/C

A = B + CD ------ B = A - CD

A = BD - C ------- B = A + C/D

A = CD - B ------- B = CD - A

What is formula?

A formula is a mathematical expression that represents a set of instructions for solving a specific problem or calculating a desired value. It often uses symbols and variables to represent values, and can include operations such as addition, subtraction, multiplication, and division.

Formulas can be used in a variety of fields, including physics, chemistry, finance, and engineering.

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help

Find an equation of the line that contains the given pair of points.
(25, 26), (6, 7)

Answers

Answer:

y = x + 1

Step-by-step explanation:

Since we have two points, we can find the equation of the line in slope-intercept form or y = mx + b, where m is the slope and b is the y-intercept.

We can find the slope using the slope formula, which is:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where y2 and x2 are one point on the line and y1 and x1 are the other point on the line:

Thus, we have:

[tex]m=\frac{7-26}{6-25}\\ m=\frac{-19}{-19}\\ m=1[/tex]

Now that we have the slope, we choose one of the points and plug in the slope to find the y-intercept:

[tex]26=1(25)+b\\26=25+b\\1=b[/tex]

An animal shelter needs to buy 8 pounds of cat food for every cat
they have. Complete the following table of cats to pounds of cat food.

Answers

the food needed for 10 cats will be 80 pounds.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem. Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers

An animal shelter needs to buy 8 pounds of cat food for every cat

they have.

So per pound, it food needed for 10 cats will be 8*10 = 80 pounds.

Hence the food needed for 10 cats will be 80 pounds.

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Which of the following describes a situation in which it is reasonable to reach a cause-and-effect conclusion based on data from a statistical study?answer choices- The study is based on a random sample from a population of interest.- The study is observational, and the sample used is not a convenience sample.- The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).- It is never reasonable to reach a cause-and-effect conclusion based on data from a statistical study.- It is always reasonable to reach a cause-and-effect conclusion based on data from a statistical study.

Answers

The correct answer is: The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).

What is statistical study?

A sample is an analytic subset of a larger population in statistics. The utilization of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.

Here,

A study that uses random assignment to assign volunteers to experimental conditions (treatments) is considered the best design to establish cause-and-effect relationships. In this type of study, researchers can control the variables and minimize extraneous factors that could confound the results. By using random assignment, the volunteers in the experimental and control groups are similar on average, making it more likely that any observed differences between the groups are due to the treatments.

The correct answer is: The research is an experiment in which volunteers are randomly assigned to experimental settings (treatments).

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For y=f(x)=7x^3, x=5, and Ax=0.06 find
A) Ay for the given x and Ax values,
B) dy=f’ (x)dx,
C) dy for the given x and Ax values

Answers

The functions and equations y = f(x) = 7·x³, x = 5, Δx = 0.06, indicates that we get;

a) Δy = 31.879512

b) dy = 21·x²dx

c) dy = 31.5

What is a function?

A function is a rule that maps input variables to output variables in a relationship in which an input is assigned to exactly one output.

a) The value of the function y = f(x) = 7·x³

The value of x = 5

Value of the change in x, Δx = 0.06

The change in y, Δy is therefore;

Δy = f(x + Δx) - f(x), from which we get;

Δy = f(5 + 0.06) - f(5) = f(5.06) - f(5)

Δy = f(5.06) - f(5)

Plugging in the values of x = 5.06, and x = 5 in the function f(x), we get;

f(5.06) = 7 × (5.06)³ = 906.879512

f(5) = 7 × 5³ = 875

Therefore; Δy = f(5.06) - f(5) = 906.879512 - 875 = 31.879512

Δy = 31.879512

b) dy = f'(x)dx

f'(x) is the derivative of the function f(x)

dy/dx = f'(x)  = 3 × 7 × x² = 21·x²

dy/dx = f'(x) = 21·x²

dy = f'(x)dx = 21·x²dx

dy = 21·x²dx

c) dy for the given x and Δx values can be found by plugging in x = 5 and dx = Δx = 0.06 in the equation, dy = 21·x²dx, as follows;

dy = 21 × 5²× 0.06 = 31.5

dy = 31.5

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Company XYZ's Computer can execute a program of an input size n in one minute.
Company ABC claims that their computer runs 100 times faster than XYZ's.

What size input can ABC's computer execute in one minute for each algorithm for the following growth rates?
a.n
b. n^2
c. n^3
d. 2^n

Answers

The size input which ABC's computer can execute in one minute for each algorithm for the following growth rates are given below:

a. For a growth rate of "n", ABC's computer can execute an input size of 100n in one minute.b. For a growth rate of "n^2", ABC's computer can execute an input size of (100n)^(1/2) in one minute.c. For a growth rate of "n^3", ABC's computer can execute an input size of (100n)^(1/3) in one minute.d. For a growth rate of "2^n", ABC's computer can execute an input size of log2(100n) in one minute.

How are the execution times gotten?

For a growth rate of "n", it means the execution time increases linearly with the size of the input. In this case, XYZ's computer takes 1 minute to execute an input size of "n".

Company ABC claims that their computer is 100 times faster, so they can execute an input size of 100n in one minute.

For a growth rate of "2^n", it means the execution time increases exponentially with the size of the input.

In this case, if we double the input size, the execution time increases two times. So, if XYZ's computer takes 1 minute to execute an input size of "n", it would take 2 minutes to execute an input size of "2n".

Company ABC claims that their computer is 100 times faster, so to execute an input size of "2n" in 1 minute, the input size must be log2(100n).

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A washer 4mm wide is to be made as indicated in the drawing. Find the area of the washer in term of the outer radius ( in expanded form ).

This question is related to special products. Please help if you can. ​

Answers

The required area of the washer is  8πr - 16π square millimeter.

How to find area of circle?

A =  π r², where r is the circle's radius, is the formula for calculating a circle's surface area. The square unit, such as m², cm², in², etc., is the unit of area.

Circle Area Formulas;

Area is equal to  π r², where r stands for radius.

Area is equal to ( π /4) d², where d stands for diameter.

Area is equal to C²/4 π  where C stands for circumference.

According to question:

The area of a washer with outer radius "r" and inner radius "r-4" can be found as follows:

Area = π * (outer radius² - inner radius²)

= π * (r² - (r-4)²)

= π * (r² - r² + 8r - 16)

= 8πr - 16π square millimeter.

Thus, required area  of washer is 8πr - 16π,Option(B) is correct.

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Logan says, “140 millilitres is more than 1.2 litres”. Is he right?

Answers

What are units?

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

First, because we are dealing with different units here, we need to know how many milliliters are in a litre.

1000 milliliter = 1 litre

So, an equation we can use is:

1 litre × 1000 = the amount in milliliters

If we look at 1.2 litres, we can now convert it to milliliters.

1.2 × 1000 = 1200

Comparing 1200ml to 140ml, we can see that 1200ml is bigger.

Therefore, 1.2 litres are greater.

A stone is projected vertically so that its position above ground level after t
seconds is given by h(t)=100t−5t2
meters, t≥0
.

Which one of the following is the maximum height the stone can reach?

Answers

Answer: The height of the stone after time "t" is given by the function h(t) = 100t - 5t^2, where t is in seconds. To find the maximum height, we need to find the value of t for which the height is greatest.

To do this, we can take the derivative of h(t) with respect to t, which gives us the rate of change of height with respect to time. Then, we can set this derivative equal to 0 and solve for t. The value of t that satisfies this condition will be the time at which the height is at its maximum.

h'(t) = 100 - 10t

Setting h'(t) = 0, we get:

100 - 10t = 0

10t = 100

t = 10

So, the maximum height is h(10) = 100 * 10 - 5 * 10^2 = 100 - 500 = -400 meters.

Since the height cannot be negative, the maximum height the stone can reach is 100 meters.

Step-by-step explanation:

Given a simplified rate of (1.99), determine the percent change.

Answers

Therefore , the solution of the given problem of percentage comes out to be  19.9%  is the percent change.

Define percentage.

In mathematics, a percentage is any value that can be written as a proportion of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The cent symbol (%) must come after a number to denote that it is a percentage.

Here,

Given:

You can compute 1.99 as a percent of a given number x by dividing 1.99 by x and multiplying the outcome by 100.

For instance,

if 1.99 is expressed as a percentage of 10,

then

=> 1.99 x 100% = 19.9%

Therefore , the solution of the given problem of percentage comes out to be  19.9%  is the percent change.

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Which function is the same as y = 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2?
y = 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
y = 3 cosine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
y = negative 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2

Answers

The function as the same as y = 3 cosine (2 (x + Start Fraction pi Over 2 End Fraction)) minus is y = -3 sin(2(x + π/4)) - 2 Option B

How to find the function?

Sine and cosine have the following relationship:

cos(θ) = sin (π/2 - θ)

y = 3 cos(2 (x + π/2)) - 2

y = 3 cos(2x + π) - 2

Let θ = 2x + π,

therefore using Sine and cosine have the following relationship:

cos(2x + π) = sin (π/2- (2x + π))

= sin (π/2 - 2x - π)

= sin (-2x - π/2)

= sin (-2(x + π/4))

but sin(-θ) = -sin (θ)

Therefore:

sin (-2(x + π/4)) = -sin (2(x + π/4))

= - sin (2(x + π/4)) = cos(2x + π)

y = 3 cos(2x + π) - 2 = 3[ - sin (2(x + π/4))] -2

y = -3 sin (2(x + π/4)) -2

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MBUL with diagonals BL and MU intersecting at point A is shown. Find the value of x that makes MBUL a kite if BA=3x-1, LA=17, MA=2x, and UA=23

Answers

The value of x that makes MBUL a kite is given as follows:

x = 6.

How to obtain the value of x?

For MBUL to represent a kite, the following lengths have to be congruent:

BA and AL.

The lengths for this problem are defined as follows:

BA = 3x - 1.LA = 17.

As the sides are congruent, the equation is given as follows:

BA = LA.

Hence the value of x that makes MBUL a kite is obtained as follows:

3x - 1 = 17

3x = 18

x = 18/3

x = 6.

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It was recently estimated that domestic vehicles outnumber foreign vehicles by about seven to five. If there are 4152 vehicles in a county, how many of them are domestic?

Answers

In a case whereby It was recently estimated that domestic vehicles out number foreign vehicles by about seven to five. If there are 4152 vehicles in a county, the number of them that are domestic is 2422  domestic vehicles.

How can the number of  domestic vehicle be determined?

The concept that will be used here is simplification.

From the question, we were told that there are 7x domestic vehicles  as well as 5x foreign vehicle.

We can see that the x is the unknown number, which we need to find out,  

Then  we can make an equation as:

7x + 5x =  4152

12x= 4152

x=4152/12

=346

Hence we can say that there are  7*346 = 2422  domestic vehicles

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Your Shadow measures 8 ft your father's Shadow is 9 ft if you are 5.5 ft how tall is your father in inches? I need problem wrote out please.​

Answers

Check the picture below.

a triangle has two side lengths of 3.5 inches and 7.75 inches. which of the following could be the length of the third side

Answers

The length of the third side could be 5.26 inches.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

There are 2 possible triangles that can arranged one being the 8 the longest side, and another one being the 5 and 8 the sides of the triangle

Given that triangle has two side lengths of 3.5 inches and 7.75 inches.

Using the pythagorean theorem to solve.

3.5² + 7.75² = x²

x² = 12.25 + 15.5

x² = 27.75

x = 5.26

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show that in any set of six classes there must be two that meet on the same day, assuming that no classes are held on weekends.

Answers

There must be two that meet on the same day, assuming that no classes are held on weekends.

What is Set?

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

According to question:

Let us show that in any set of six classes, each meeting regularly once a week on a particular day of the week, there must be two that meet on the same day, assuming that no classes are held on weekends.

Since there are 5 working days by a week and 6 classes, by Pigeonhole Principle there must be two that meet on the same day.

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URGENT PLS HELP
stats standard deviation

Answers

The sample standard deviation of the given data will be 10.058.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

The table is given below.

M                  f                  Mf                         M²f

15                 8                 120                       1,800

25                18                450                      11,250

35                20               700                     22,050

45                13                585                     26,325

55                 7                 385                      21,175

The variance is given as,

Var = 1 / (66 - 1) [82600 - 2240² / 66]

Var = 101.16

Then the standard deviation is given as,

SD = √ Var

SD = √101.16

SD = 10.058

The sample standard deviation of the given data will be 10.058.

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Using the region names in the image below, select all regions that represent: A' ∪ B ∩ C'

Answers

The region for A' ∪ B ∩ C' is region III.

What is Venn diagram?

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.

Given:

So from the Venn diagram, the item represents the regions four, five, six and seven.

We have to find not A union B intersection not C.

A' is the complement of set A.

So, the region is for not A union B is represented by B.

and, then B ∩ C' gives the region B.

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Consider the following three random experiments: Experiment 1: Toss a coin. Experiment 2: Toss a die. Experiment 3: Select a ball at random from an urn containing balls numbered 0 to 9. (a) Specify the sample space of each experiment. (b) Find the relative frequency of each outcome in each of the above experiments in a large number of repetitions of the experiment. Explain your answer.

Answers

The sample space of the tossed coin: head or Tail =[ HT ]

The sample space of the die : [1, 2, 3, 4, 5,6 ]

The sample space of the ball {0 , 1, 2, 3, 4, 5, 6, 7, 8, 9]

What is the relative frequency?

experiment 1: In a large number of repetitions of the experiment, the relative frequency of each outcome (Heads or Tails) would be approximately 0.5 or 50%.

Experiment 2: In a large number of repetitions of the experiment, the relative frequency of each outcome (1 to 6) would be approximately 0.1667 or 16.67%.

Experiment 3: In a large number of repetitions of the experiment, the relative frequency of each outcome (0 to 9) would be approximately 0.1 or 10%.

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Write the answer is (x,y) form

Answers

The translation in the form (x,y) is  (-3, -10)

How to determine the translation that maps from T to T'?

In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.

T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:

T + translation = T'

translation = T' - T

translation = (6, -2) - (9, 8)

translation = (6-9, -2-8)

translation = (-3, -10)

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I checked the answer for this question and its. Angle PSR = ⁴⁄₇x = ⁴⁄₇ x 105 = 60°


What I don't understand is how they find the 105°. Could someone write down a step by step explanation answer to this question please?

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

let ∠ QRS = x then ∠ PQR = x and

∠ QPS = [tex]\frac{6}{7}[/tex] x and ∠ PSR = [tex]\frac{4}{7}[/tex] x

the sum of the 4 angles in a quadrilateral = 360°

sum the 4 angles and equate to 360

x + x + [tex]\frac{6}{7}[/tex] x + [tex]\frac{4}{7}[/tex] x = 360 ( multiply through by 7 to clear the fractions )

7x + 7x + 6x + 4x = 2520

24x = 2520 ( divide both sides by 24 )

x = 105

then

∠ QRS = 105° , so

∠ PSR = [tex]\frac{4}{7}[/tex] × 105° = 4 × 15° = 60°

(b)

∠ QPS = [tex]\frac{6}{7}[/tex] × 105° = 6 × 15° = 90° ← a right angle

Given f(x)=(8/x+13)+2 find the inverse

Answers

Answer:

Step-by-step explanation:

da fact that it sometimes get me wrong but it do works ngl

PLEASE HELP!

Determine the terms and the coefficients of the terms for the
polynomial

x^2-3x+2

Complete the table for the polynomial

Answers

Answers in bold

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Term} & \text{Coefficient}\\\cline{1-2}\text{x}^2 & \boldsymbol{1}\\\cline{1-2}\boldsymbol{-3\textbf{x}} & -3\\\cline{1-2}2 & \boldsymbol{2}\\\cline{1-2}\end{array}[/tex]

Explanation:

The given expression [tex]\text{x}^2-3\text{x}+2[/tex] is the same as [tex]\text{x}^2+(-3\text{x})+2[/tex]

This leads to the three terms as shown in the table above. Each term is separated by a plus sign.

The coefficient is the number to the left of the variable. Think of [tex]\text{x}^2[/tex] as [tex]1\text{x}^2[/tex] and think of [tex]2[/tex] as [tex]2\text{x}^0[/tex]

In other words, [tex]\text{x}^2-3\text{x}+2[/tex] is the same as [tex]1\text{x}^2+(-3\text{x})+2\text{x}^0[/tex]

6x^2 − 5x + 6 = 6x + 3

Answers

Answer:

x=1/3;3/2

Step-by-step explanation:

6x^2-5x+6 = 6x+3

-6                    -6

6x^2 -5x = 6x - 3

+5x            +5x

6x^2 = 11x -3

6x^2 + 11x - 3 = 0

(3x-1)(2x-3)=0

3x-1=0

3x=1

x=1/3

2x-3=0

2x=3

x=3/2

Find the 10th term of the arithmetic sequence 2, 6, 18, 54, ...

Answers

2,6,18,54,162,486,1458,4374,13122,39366. The answer is 39,366 (: I got this bc the common ratio is 3. 2 times 3 is 6. 6 times 3 is 18 and 18 times 3 is 54 (: and so on I hope this helped
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