3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answers
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
Related Questions
Last year, 450 people attended the Booster Club Breakfast. This year the number of people attending increased by 6%. Find the number of people who attended the breakfast this year.
Answers
Answer:
I'm pretty sure it's 477
Step-by-step explanation:
if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which the diameter increases when the diameter is 15cm
Answers
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
77% Complete
Please enter a number in response to the following question.
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 12 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answers
Answer:
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will cat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. a) What is the probability that none of the meals will exceed the cost covered by your company
Answers
Answer:
0.2637
Step-by-step explanation:
Population size is top 15 ranking restaurants.
Number of draws = 3
Number of observed successes = 5
Probability formula : [r . x } { n -r] [n - x]
solving the equation we get 24 / 91 which is approximately 0.2637
hello I need help on it pls
Answers
Answer:
19.5
Step-by-step explanation:
Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones
Answers
Answer:
The value is [tex]n =271[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5\% = 0.05[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of of customers who click on ads on their smartphones
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n =271[/tex]
Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
90% confidence level, hence the critical value is z = 1.645.No prior estimate, hence p = 0.5.Within five percentage points, hence M = 0.05.Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]
[tex]\sqrt{n} = [10(1.645)][/tex]
[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]
[tex]n = 270.6[/tex]
Rounding up, 271 customers should be sampled.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Solve 6x+89(9)^2
3(2x+2403)
3(2x+234)
6x+7209
which one would it be
Answers
Answer:
It would be the last one 6x+7209
Step-by-step explanation:
because it will be simplify not factor by
Answer: The answer would be c
6x+7209
Step-by-step explanation:
since it would be like Isale said symplified and not factor by. In fact the deal of this question is that simplifying and factoring expressions are opposite processes so How do you know when to simplify? Well, you will removing the pair of the parentheses.
HELP FAST. I NEED THIS ANSWER FAST
Answers
Answer:
abunda la caca
( its 10m*9y)
Step-by-step explanation:
Answer:
First find the cubes and squares of the 1st and 2nd expression.
1st expression ⇒ [tex](-\frac{2}{3} x^2y)^3 = -\frac{8}{27}x^6y^3[/tex]
2nd expression ⇒ [tex](-\frac{3}{4}xy^2)^2 = -\frac{9}{16}xy^4[/tex]
Now you all you need to do is multiply the 1st expression to 2nd expression.
[tex]-\frac{8}{27}x^6y^3*-\frac{9}{16}xy^4\\\\= \frac{72}{432} x^7y^7[/tex]
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answers
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(U |D ) = 0.198 [/tex]
b
[tex]P(O\ n \ B) = 0.188[/tex]
c
[tex]P(O | B) = 0.498 [/tex]
Step-by-step explanation:
The total number of deaths is mathematically represented as
[tex]T = 16 + 23 + \cdots + 16[/tex]
[tex]T =623 [/tex]
The total number of deaths in 1996 - 2000 is mathematically represented as
[tex]T_a = 16 + 23+ \cdots + 30[/tex]
[tex]T_a = 235 [/tex]
The total number of deaths in 2001 - 2005 is mathematically represented as
[tex]T_b = 17 + 16 + \cdots + 23[/tex]
[tex]T_b = 206 [/tex]
The total number of deaths in 2006 - 2010 is mathematically represented as
[tex]T_c = 15 + 17 + \cdots + 16[/tex]
[tex]T_d = 182 [/tex]
Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as
[tex]P(U |D ) = \frac{P(A \ n\ U )}{P(A)}[/tex]
Here [tex]P(A \ n\ U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as
[tex]P(A \ n\ U ) = \frac{Z}{ T} [/tex]
Here Z is the total number of death under the tree after 2000 and it is mathematically represented as
[tex]Z = 35 + 42[/tex]
=> [tex]Z = 77 [/tex]
=> [tex]P(A \ n\ U ) = \frac{77}{ 623} [/tex]
=>
Also
[tex]P(A)[/tex] is the probability of the death occurring after 2000 and this is mathematically represented as
[tex]P(A) = \frac{T_b + T_c}{ T}[/tex]
=> [tex]P(A) = \frac{ 206+ 182}{623}[/tex]
=>
So
[tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}[/tex]
=> [tex]P(U |D ) = 0.198 [/tex]
Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{T_z}{ T}[/tex]
Here [tex]T_z[/tex] is the total number of death outside / camping before 2001 and the value is 117
So
[tex]P(O \ n \ B) = \frac{117}{623}[/tex]
=> [tex]P(O\ n \ B) = 0.188[/tex]
Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}[/tex]
Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as
[tex]P(B ) = \frac{T_a}{T}[/tex]
=> [tex]P(B ) = \frac{235}{623}[/tex]
So
[tex]P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]
=> [tex]P(O | B) = 0.498 [/tex]
What do you think about raising the minimum wage? What do you think would be some negative outcomes of raising the minimum wage? What are some positive outcomes of raising the minimum wage
Answers
Use the figure to find the measures of the numbered angles.
Answers
Answer: 5=49, 6= 131
Step-by-step explanation:
What is the best estimate of 49.13 + 0.58?
A: 80
B: 40
C: 25
D: 50
Answers
Answer:
D.50
Step-by-step explanation:
its the closes whole number to 49.13
Pls help for Algebra 11b = 143
Answers
Answer:
b = 13
Step-by-step explanation:
Divide 143 by 11
B=143/11
=13
13(6x – 5) – x = 13 – 2(x + 1)
Answers
Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).
Evaluate the expression when y=-2.
y2 +6y-4
Answers
Answer:-12
Step-by-step explanation:
Evaluate 12x−3y when x=−14 and y=3.
Answers
Answer:
-177
Step-by-step explanation:
12(-14) -3(3)
-168-9
-177
Answer:
-177
Step-by-step explanation:
Plug in -14 for x and 3 for y:
12(-14) - 3(3)
Note that when you multiply a positive and a negative number, your answer will be negative.
Multiply:
12 * -14 = -168
-3 * 3 = -9
Combine the terms:
-168 + (-9) = -168 - 9 = -177
-177 is your answer.
~
Cell phone provider A offers a plan that costs 8e per month
Answers
Answer:
then can I buy one?
Step-by-step explanation:
Answer:
8e=8*e= 21.7462546277
its per mounth so we divide by 30 or 31 if it is 21.7462546277/30= 0.7248751543
if it is 21.7462546277/31 = 0.7014920848
Round 24,837,618 to the ten thousands place. I’m on math college so I need help on this problem!
Answers
Answer:
24,840,000
Step-by-step explanation:
Round up of numbers includes rounding them up to a given place value.
We are asked to round 24,837,618 to the ten thousands place.
The ten thousands place is the place where the number 3 in the number is located.
The number after 3 = 7 is a number above 5. Hence, we add 1 to 3, making it 4
Therefore, 24,837,618 to the ten thousands place is 24,840,000
A train travelled 275 km in 2.5 hours how fast will the train go in an hour?
!!!!!!!!!
Answers
Answer: 110 mph
Step-by-step explanation: 275 / 2.5 = 110 mph
Find the next number in the pattern given below
-10, -2, 6, ____
Answers
-2 + 8 =6
6 + 8 = 14
answer is 14
compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store
Answers
Answer:
8
Step-by-step explanation:
i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}
Answers
Answer:
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
Step-by-step explanation:
Let [tex]f(x) = -x^{3}+x^{2}+5[/tex]. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:
x = -2
[tex]f(-2) = -(-2)^{3}+(-2)^{2}+5[/tex]
[tex]f(-2) = 8+4+5[/tex]
[tex]f(-2) = 17[/tex]
x = -1
[tex]f(-1) = -(-1)^{3}+(-1)^{2}+5[/tex]
[tex]f(-1) = 1-1+5[/tex]
[tex]f(-1) = 5[/tex]
x = 2
[tex]f(2) = -(2)^{3}+(2)^{2}+5[/tex]
[tex]f(2) = -8+4+5[/tex]
[tex]f(2) = 1[/tex]
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answers
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
Perform the indicated operation.
Answers
Answer:
[tex] g(3) - h(3) = -16 [/tex]
Step-by-step explanation:
Given:
[tex] g(x) = 2x - 5 [/tex]
[tex] h(x) = 4x + 5 [/tex]
Required:
[tex] g(3) - h(3) [/tex]
SOLUTION:
Substitute x = 3 into [tex] g(x) = 2x - 5 [/tex]
[tex] g(3) = 2(3) - 5 [/tex]
[tex] g(3) = 6 - 5 [/tex]
[tex] g(3) = 1 [/tex]
Substitute x = 3 into [tex] h(x) = 4x + 5 [/tex]
[tex] h(3) = 4(3) + 5 [/tex]
[tex] h(3) = 12 + 5 [/tex]
[tex] h(3) = 17 [/tex]
Therefore:
[tex] g(3) - h(3) = 1 - 17 = -16 [/tex]
How do you find the whole in percent problems
Answers
Answer:
So essentially, you are trying to find what the overall whole is based off of a number that is the percent of the number. In order to do this, you must turn your percentage into a fraction over 100. You are going to then create the number that is a percentage of another number into a fraction over "x". Cross multiply the two fractions. Since there is an "x", count is as a zero. Now, create a fraction with the numerator as the number you just got from multiplying, and the denominator as the number you have to refer to as the percent of the whole. Since fraction is division, divide the two numbers and you get your answer. Sorry if this is so complex I tried to simplify it as best as I could
Step-by-step explanation:
Example: 8 is 80% of what number?
80% to 80/100
8 to 8/x
*cross multiply*
80x/80 = 800/80
800 divided by 80 is 10.
so, 8 is 80% percent of 10.
1.-Responde la pregunta: ¿para qué
me sirve el teorema de Pitágoras en la.
vida cotidiana?
Answers
Answer:
Respuesta. Respuesta: El Teorema de Pitágoras sirve para resolver una multitud de problemas; por ejemplo de, cálculo de distancias en el plano, en los mapas, en la realidad. ... En general, el Teorema de Pitágoras se puede utilizar para hallar longitudes en donde intervienen triángulos rectángulos.
17. The hourly temperature at Portland, Oregon, on a particular day is recorded below.
1 A.M. 2 3 4 5 6 7 8 9 10 11 12 Noon
46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69°
1 P.M. 2 3 4 5 6 7 8 9 10 11 12 Midnight
72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48°
a. Find the amplitude of a sinusoidal function that models this temperature variation.
b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
Answers
Answer:
a. Amplitude: 19.65446
b. Vertical Shift: 58.00713
c. Period: 2/0.22797 = 27.56146
d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713
e. Model's Temperature at 10 A.M.: f(-7) = 61.91
This value is 9.91 degrees higher than the actual value.
Step-by-step explanation:
With 1 am being timed as t = 1, we fitted the temperature data collected at different points during the day in Portland, Oregon using sine regression. After receiving the sine function, we respond to the many questions connected to the sine function's properties.
What is sinusoidal Function?A smooth, repeating oscillation characterizes a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that may be described by sinusoidal functions.
Given, The hourly temperature at Portland, Oregon, on a particular day is recorded.
Using sine regression on the given data with t = 1 being the hour 1 am etc, we get the following sine regression formula using the TI-83 Graphing Calculator where T is the temperature:
T = a sin(bt + c) + d
Where a = 19.65, b = 0.28, c = -2.93, d = 58.01
From the sine regression function above:
a. The amplitude of the sinusoidal function is a = 19.65.
b. The vertical shift is d = 58.01.
c. The period is 2*pi /b = 2*pi/ 0.28 = 22.44
d. At 5 PM, the time value is t = 17. Hence the temperature distribution with 5 PM being t = 0 will be
t = asin[b(t - 17) + c] +d.
e. From the table, at 10 AM, the actual value of the temperature is 52 degrees.
Using the model in part a., at 10 AM, with t = 10, the temperature will be
T = a sin(10b + c) + d
T = 55.46 degrees
Learn more about sinusoidal functions here:c. The period is
https://brainly.com/question/12060967
#SPJ2
Complete question:
I really need help. currently failing math
Answers
Answer:
3/10=0.3
Step-by-step explanation:
what is 3,108 rounded to the nearest thousand
Answers
Answer:
3100
Step-by-step explanation:
Answer:
3,000
Step-by-step explanation:
If the question was about 3,500 it would be rounded to 4,000
If the question was about 2,499 it would be rounded to 2,000
If it is in between 3,449 and 2,500 then it would be rounded to 3,000 which 3,108 is