Answer:
m=-4,-2
Step-by-step explanation:
Hi there!
What we need to know:
The quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\) where the equation is given in standard formStandard form quadratic equation: \(y=ax^2+bx+c\) (with y=0)1) Rearrange the given equation into standard form
This will help us determine the a, b and c values.
\(m^2+6m=-8\)
Add 8 to both sides
\(m^2+6m+8=0\)
Now, we can see that a=1, b=6 and c=8.
2) Plug a, b and c into the quadratic formula
\(m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2\)
I hope this helps!
Josh was asked to solve the equation 15x-19=4x+11 His first step resulted in the equation 15x=4x=30 Describe what Josh did in his first step.
Answer:
added 19 and 11
Answer:
Added 19 to each side
Step-by-step explanation:
15x-19=4x+11
Add 19 to each side
5x-19+19=4x+11+19
5x = 4x+30
The temperature of dry ice is -109.3 Fahrenheit less than the outside temperature right and solve an equation to find the outside temperature T (in degrees Fahrenheit).
For the pair of similar triangles, find the value of x.
2x-4
39
x+6
24
Answer:
x= 20
Step-by-step explanation:
set up a proportion:
(2x - 4)/24 = 39 / (x + 6)
(2x - 4)(x + 6) = 936
2x^2 + 8x - 24 = 936
x^2 + 4x - 12 = 468
x^2 + 4x - 480 = 0
(x - 20)(x + 24) = 0
x= 20, -24
has to be positive so x = 20
Use the quadratic formula to solve the equation. 9x2−7x+1=0 Enter your answers, in simplified radical form. x = x =
Answer:
\(x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}\)
Step-by-step explanation:
I'm not too good with the quadratic formula so I'm going to complete the square.
First divide everything by 9 and move the 1 to the other side.
\(x^2-\frac{7}{9}=-\frac{1}{9}\)
Then take half of \(\frac{7}{9}\) and square it and add it to both sides.
\(x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}\)
Now you can factor it.
\((x-\frac{7}{18})^2=\frac{13}{324}\)
Square root:
\(x-\frac{7}{18}=\frac{\sqrt{13} }{18}\)
\(x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}\)
Select all equations that represent this question:
Diego has run 2/3 of a race""s distance. He has run 8 1/2 kilometers. How long is the whole race
The whole race is 12 3/4 kilometers.
The correct equations that represent this question are:
(8 1/2) ÷ 2/3 = ?
2/3 × ? = 8 1/2
(8 1/2) × 3/2 = ?
In this question we have been given Diego has run 2/3 of a race""s distance. He has run 8 1/2 kilometers.
We need to find the length of the whole race.
Let the whole race be x.
Since Diego has run 2/3 of a race's distance which is 8 1/2 kilometers. The length of the whole race will be given by an equation:
2/3 × x = 8 1/2
x = (8 1/2) ÷ 2/3
x = (8 1/2) × 3/2
x = 17/2 × 3/2
x = 51/4
x = 12 3/4 kilometers.
Therefore, the length of the whole race= 12 3/4 kilometers.
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The choices for given question are given below.
The head of the quality control department at a printing company would like to carry out an experiment to determine which of three different glues results in the greatest binding strength. Although they are not of interest in the current investigation, other factors thought to affect binding strength are the number of pages in the book and whether the book is being bound as a paperback or a hardback.
a. What is the response variable in this experiment?
b. What explanatory variable will determine the experimental conditions?
c. What two extraneous variables are mentioned in the problem description? Are there other extraneous variables that should be considered?
a. The response variable in this experiment is the binding strength. b. The experimental conditions are determined by the type of glue. c. The extraneous variables mentioned are the number of pages and the book's binding type, and other variables to consider include temperature, humidity, application technique, pressure, and drying time.
a. The response variable in this experiment is the binding strength. It is the variable of response variablethat will be measured to determine the effect of different glues.
b. The explanatory variable that will determine the experimental conditions is the type of glue. It is the variable that is manipulated by the experimenter to observe its impact on the binding strength.
c. The two extraneous variables mentioned in the problem description are the number of pages in the book and whether the book is being bound as a paperback or a hardback. These variables are not the focus of the experiment but are mentioned as factors that may potentially affect the binding strength.
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What is the Inverse operation for sin
Answer:
arcsin function
Step-by-step explanation:
2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
Let f be a linear function such that f(1) = 5 and f(3) = 9. Find an equation for f(x).
Answer:
\(f(x)=2x+3\)
Step-by-step explanation:
So we know that:
\(f(1)=5 \text{ and } f(3)=9\)
In other words, we have 2 coordinates: (1,5) and (3,9).
With this, we can figure out the slope. Let (1,5) be x₁ and y₁ and let (3,9) be x₂ and y₂. The slope formula is:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Substitute:
\(m=\frac{9-5}{3-1}\\m=4/2=2\)
So, the slope is 2.
Now, use the point-slope form to figure out the y-intercept. The point-slope form is:
\(y-y_1=m(x-x_1)\)
For consistency, let's continue to use (1,5) as x₁ and y₁. Now, we can use 2 as m. Thus:
\(y-(5)=2(x-1)\)
Distribute:
\(y-5=2x-2\)
Add 5 to both sides:
\(y=2x+3\)
So:
\(f(x)=2x+3\)
And that's our equation :)
Draw a perpendicular AB to the line segment PQ through the point A on it [Labelling and
description of construction is needed].
First, draw a line segment PQ on a sheet of paper. This line segment should be long enough to accommodate the perpendicular line AB that we want to draw. Label the endpoints of the line segment as P and Q.
To draw a perpendicular line AB to the line segment PQ through the point A, we will need to follow these steps:
1. Draw the line segment PQ on a sheet of paper.
2. Mark the point A on the line segment PQ where we want the perpendicular line to pass through.
3. From the point A, draw a line that is perpendicular to the line segment PQ. This line will intersect PQ at a right angle.
4. Label the point where the perpendicular line intersects PQ as point B.
To describe the construction in more detail, we can use the following steps:
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Need help plz help asp
Answer:
the pic is blocked what the question
Step-by-step explanation:
Answer:
1: volume=4x4x6 96in^3
2:x=5
3: volume=3x7x8 168m^3
4:y=7
Step-by-step explanation:
1: 4x4x6 this is how you set it up
you multiply 4x4 first
4x4=16
then you multiply 16x6
16x6=96
volume is inches cubed
96 in ^3
2: 3*6*x=90 this is how you set it up
you have to isolate the variable
18x=90
divide each side by 18
x=5
3: 3x7x8 this is how you set it up
multiply 7x8 first
3x56
then multiple these two numbers
168
this time is is meters cubed
168m^3
4: 2*7*y=98 this is how you set it up
multiply 2*7 to start isolating the variable
14y=98
divide each side by 14
y=7
i really hope this helps!!!! :) have a good day!
I need help with this math work
I need some answers be quick pls. If you get it right I will give you brainliest
Step-by-step explanation:
multiple the power and real number
Answers;
a) Multiply 2 by 3: 6ab.
b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).
c) Simplify the expression. 10y^7 or \(10y^{7}\).
d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).
The half-life of a radioactive substance is the time it takes for half of the substance to decay. The half-life of one form of rhodium, Rh-106, is about 30 seconds. If you start with 100 grams of Rh-106, how much will be left after 4 minutes?
Answer:
0.390625 grams
Step-by-step explanation:
can i get a second opinion on this
PLZ HELP ME I BEG YOU!!!!!!!!!!!!!!
Sam has $92 and spends $5 every day. William has $41 and spends $2 every day. On what day will they have the same amount of money? Show work.
4x-8y less than or equal to -16
Answer:
x=0, y=2
Step-by-step explanation:
if you substutute the answers you will get the correct answer
Your grandfather is a coin collector. He has 50 coins of gold or silver separated into 7
bags. Gold coins are in packs of 6 and silver coins are in packs of 8. How many bags of
each coin does he have?
4 bags of gold and 3 bags of silver
2 bags of gold and 5 bags of silver
3 bags of gold and 4 bags of silver
5 bags of gold and 2 bags of silver
Answer:
c
Step-by-step explanation:
a = 48 coins 4 x 6 = 24 3 x 8 = 24 24 + 24 = 48
b = 52 coins 2 x 6 = 12 5 x 8 = 40 40 + 12 = 52
c = 50 coins 3 x 6 =18 4 x 8 = 32 32 + 18 = 50 correct
d = 46 coins 5 x 6 = 30 2 x 8 = 16 30 + 16 = 46
Which of the six trigonometric functions has a period of \(2\pi\) and passes through the point \((\pi, 0)\)?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
Answer:
x
Step-by-step explanation:
what is the variable to 15 =k ( 13)
Answer:
the variable is k
Step-by-step explanation: Hope this helps btw can i have brianliest?
Plugging in x back in the equation which is 6, what is the measure of this alternate exterior angle
Answer:
14x - 4 + 13x + 2
= 14(6) - 4 + 13(6) + 2
= 160
Which ordered pair would be plotted by starting from the origin and moving 0. 25.
Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).
To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.
We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.
If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).
Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).
So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).
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What is the error for the following problem: 1.2 x 0.12 =1.44
Answer: the error is in the second part 0.12 it should be 1.2 for the answer to be 1.44
Step-by-step explanation:
1.2x0.12 = 0.144
0.12x0.12=0.0144
1.2x 1.2 = 1.44
Teresa makes home made empanada and sells theme
Answer:
Step-by-step explanation:
Answer:
yum
Step-by-step explanation:
Use the following information for problems 4-6.The mean weight of a domestic house cat is 8.9 pounds, with a standard deviation of 1.1 pounds.The distribution of domestic house cat weights can reasonably be approximated by a normal distribution.What percentage of domestic house cats weigh less than 7.8 pounds?What percentage of domestic house cats weigh more than 11.1 pounds?A domestic house cat weighing 9 pounds is in what percentile?Use the following information for problems 7-9.An article in a health magazine suggested getting a dog in order to increase time spent walking (for exercise). A researcher for the article found that the distribution of time spent walking by dog-owners was approximately normally distributed with a mean of 38 minutes per day. She also found that 84% of dog-owners spend less than 45 minutes walking per day.Find the standard deviation (in minutes) for daily walking time among dog-owners.Construct a normal distribution curve that displays all relevant data for this scenario.How long would a dog-owner need to walk in a day to be ranked in the 99th percentile?Using any research tools at your disposal, find 3 real-world examples of variables that are, in fact, normally distributed.
In order to solve this question, we need to use the z-score z of value x, belonging to a normal distribution with mean μ and standard deviation σ.
z is defined as:
\(z=\frac{x-\mu}{\sigma}\)In this problem, we have, in pounds:
μ = 8.9
σ = 1.1
PART 1
So, the percentage of domestic house cats that weigh less than 7.8 pounds is:
\(P(x<7.8)=P(z<\frac{7.8-8.9}{1.1})=P(z<-1)\)And from a z-score table, we have:
\(P(z<-1)=0.15866\)Therefore, the percentage of domestic house cats that weigh less than 7.8 pounds is approximately 0.1587 or 15.87%.
PART 2
The percentage of domestic house cats that weigh more than 11.1 pounds is 1 minus the percentage of them that weigh less than that:
\(\begin{gathered} P(x>11.1)=1-P(x<11.1) \\ \\ P(x>11.1)=1-P(z<\frac{11.1-8.9}{1.1})=1-P(z<2) \\ \\ P(x>11.1)=1-0.97725=0.02275 \end{gathered}\)Therefore, the percentage of domestic house cats that weigh more than 11.1 pounds is approximately 0.0228 or 2.28%.
PART 3
The domestic house cat weighing 9 pounds is in percentile P(x<9):
\(P(x<9)=P(z<\frac{9-8.9}{1.1})=P(z<0.09091)=0.53622\cong0.54\)Therefore, a domestic house cat weighing 9 pounds is in the 54th percentile.
What is the area of the circle shown? Use 3.14 for pi.
Help me please I need to pass this test
in order to estimate the mean age to be diagnosed with diabetes, a researcher takes a sample and finds the mean age to be 16.4. what type of statistical inference is this?
Answer:
This is a type of statistical inference known as a measure of center
1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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BRAINLIEST TO FIRST ANSWER PLEASE HELP
A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!