Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
[tex]D=b^2-4ac[/tex]
and given the equation and compare with the standard quadratic equation
[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
[tex]D=\sqrt{161} \\D=12.6885[/tex]
So our answer is real , irrational and unequal which is Option C
A drilling company has estimated a 40% chance of striking oil for their new well. A detailed test has been scheduled for more information. Historically, 60% of successful wells have had detailed tests, and 20% of unsuccessful wells have had detailed tests. Given that this well has been scheduled for a detailed test, what is the probability that the well be successful
Answer:
Step-by-step explanation:
this is the answer
Pls help me! ;-; 20 Points WIll mark Brainliest!!!
help me plz I can't get the answer right
Answer:
(If they give you a decimal place to round to use that) :)
9: 0.1026272578 mL/g
10: 1.8666666667 mL/g
Step-by-step explanation:
Density is M / V like a kinda heart you know? So mass divided by volume, the sink or float part you give context for although that is the density
A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a negative result with probability 0.9 when tested on a person who does not have the disease. Assume that 3% of a society has the disease, and compute the following probabilities in the order they are asked. Note that for each individual there are two disease status(disease, no disease) and two types of test results(positive, negative). (a) (0.5 point) Compute the probability that an individual has the disease and has a positive test result. Explain your computation. (b) (0.5 point) Compute the probability
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
Joe solved the equation 3 + x/2 = 10 and justified each step as shown. Identify Joe's error and fix his mistake. ( Only answer if you truly know how. No Plagiarism and please don't reposted another students answer on brianly. Will Mark Brainliest).
Happy Holidays! :)
He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.
The proper steps in order would be as shown:
3 + x / 2 = 10 Given equation
x / 2 = 7 Subtraction Property of Equality (-3 from both sides)
x = 14 Multiplication Property of Equality (x2 on both sides)
PLEASE HELP!!!! ITS DUE TODAY!!! WILL GIVE BRAINLIEST!!
Answer:
ITS B
Step-by-step explabnation:
KEY WORD "PER" SO 20 ASSOCIATES WITH MULTIPLICATION
I need help please I have to finish this
Answer: x=4
Step-by-step explanation:
We know that line segment AC= AB + BC
we also know that AB= 3x+8 and BC= 2x-5
by substituting these, we get AC= (3x+8)+(2x-5)
AC is given as being 23, so we know that
23= (3x+8)+(2x-5)
by combining like terms, we get that
5x+3=23
simplify this to get that x=4
What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?
if f(x)=2x and g(x)=5x, what is f(g(x)) when x=3
Answer:
30
Step-by-step explanation:
First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.
Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.
Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.
The value of the function f ( g ( x ) ) when x = 3 is 30
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be f (x ) = 2x
Let the second function g ( x ) = 5x
Now ,
The composite function is of the form f ( g ( x ) ) ,
So assign the value of x in f ( x ) as x = g ( x )
And , g ( x ) = 5x
So , the composite function will be
f ( 5x ) = 2 ( 5x )
= 10x
Now , when x = 3
f ( g ( 3 ) ) = 10 x 3
= 30
Therefore , the value of f ( g ( 3 ) ) is 30
Hence , the value of the function f ( g ( x ) ) when x = 3 is 30
To learn more about composite functions click :
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The square of a number xx is 33. The number xx is between what two consecutive whole numbers?
How do you do the equation -8(0.5y - 3
Answer:
-4y+24
Step-by-step explanation:
You multiply -8 by each figure in the parenthesis.
So, -8(0.5y) and -8(-3) which is -4y+24 .
Which figure shows a line of symmetry?
Answer:
C)
Step-by-step explanation:
The other ones do have symmetry but it's not in the same direction
(not entirely sure but the way they are shown this makes the most sense)
Hope this helped! :)
A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health. The veterinarian asks the owners of dogs with known joint issues if they would be willing to have their dog participate in his study, and 32 owners agree to the study. Sixteen dogs are randomly assigned to the glucosamine group and the remaining 16 are assigned to the glucosamine with chondroitin group. After 6 months, the dogs’ joint health is measured for each treatment and compared. The results of the study were inconclusive and the veterinarian decides to do the experiment again. He gets 24 volunteers and decides that he needs to use a randomized block design.
Which variable would not be an appropriate variable for blocking?
age
size
color of coat
breed
Answer:
Colour of coat
Step-by-step explanation:
We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.
In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.
Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.
Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.
The sum of three consecutive even numbers is 228. What is the 3rd number?
Answer:
78
Step-by-step explanation:
x+(x+2)+(x+4)=228
x+x+2+x+4=228
3x+6=228
Subtract 6 from both sides
3x=228-6
3x=222
Divide both sides by 3
x=74.The first number is 74
The second number (x+2)=74+2=76
The third number (x+4)=74+4=78
- Jennifer opened a new savings account on Thursday with a deposit of $60. - She made a withdrawal of $40 on Friday. - She then made a deposit of $80 on Saturday. Which expression represents her new account balance?
Answer:
(60-40)+80
Step-by-step explanation:
Hey!! Can you also help me with this thank you−3(2y − 9) − (5y + 4)
Answer:
Let's simplify step-by-step.
3(2y−9)−(5y+4)
Distribute the Negative Sign:
=3(2y−9)+−1(5y+4)
=3(2y−9)+−1(5y)+(−1)(4)
=3(2y−9)+−5y+−4
Distribute:
=(3)(2y)+(3)(−9)+−5y+−4
=6y+−27+−5y+−4
Combine Like Terms:
=6y+−27+−5y+−4
=(6y+−5y)+(−27+−4)
=y+−31
Answer:
=y−31
Step-by-step explanation:
8. Find the GCF of *
40x3 and 50x2
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
3, 2, 0
Step-by-step explanation:
There are three modes, all numbers have at least two appearances.
Please give thanks by clicking the heart! I solved your other problem too :)
n a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?
Answer:
f(t) = 55 = 4t
Step-by-step explanation:
Write and solve an equation to find x. Then find the measure of angle YXZ.
x=
The measure of Angle YXZ is
please i have 2 minutes left!!!
This is so simple so here...
A right angle is 90 degrees.
We learn that WXZ is 35 degrees.
90-35=55
YXZ is 55 degrees. I hope I could help!
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
Answer:
x = 3 unitsStep-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = h
b = 8/2 = 4
c = 5
plugin values into the formula:
h² + 4² = 5²
h² = 5² - 4²
x = √9
x = 3
Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess
Answer:
4/5
Step-by-step explanation:
Given that:
Number of options = a, b, c, d, e
Number of correct answer choice = 1
Therefore, number of wrong answers = 4
Recall :
Probability = (number required outcome / number of total possible outcomes)
P(wrong answer) :
Number of Required outcome = number of wrong answer choices = 4
Total answers = 5
Hence,
P(wrong answer) = 4 / 5 = 0.8
divide 8a⁸-20a⁶+2a⁴/4a⁴
-20a with reminder of 6 and Plus 17a with reminder of 2 over 2
t = i/pr is what formula?
Step-by-step explanation:
it is the formula to calculate the time
in the formula
t = I / pr
t stands for time.
I stands for interest.
p stands for principal.
r stands for rate.
Hope it helps. :)
Lines l and M are parallel. Line l can be represented by the equation 3x+4y=8. If line m passes through the point (2, -5), which equation can be used to find the equation of line m?
Answer:
3y - 4x + 7 = 0
Step-by-step explanation
The equation of the line l in point slope form is expressed as;
y-y0 = m(x-x0)
Get the slope m of the known line
Given the line 3x+4y=8
4y = -3x+8
y = -3x/4 + 2
m = -3/4
The slope of the line m = -1/(-3/4) = 4/3
Substitute m = 4/3 and the point (2,-5) into the expression above;
y - (-5) = 4/3(x-2)
y+5 = 4/3 x + 8/3
Multiply through by 3;
3y + 15 = 4x + 8
3y-4x + 15 - 8 = 0
3y - 4x + 7 = 0
Hence the equation that can be used to find the equation of line m is 3y - 4x + 7 = 0
Equation that can be used to find the equation of line m is
[tex]y+5=\frac{-3}{4} (x-2)[/tex]
Given :
Lines l and M are parallel. Line l can be represented by the equation 3x+4y=8
Line m passes through the point (2, -5)
Equation of line L is [tex]3x+4y=8[/tex]
Lets find out the slope of the given equation by writing it in y=mx+b form
where m is the slope
[tex]3x+4y=8\\4y=-3x+8\\y=\frac{-3}{4}x +2[/tex]
the slope of line L is [tex]\frac{-3}{4}[/tex]
Slope of parallel lines are equal
slope of parallel line M is also [tex]\frac{-3}{4}[/tex]
Line M passes through (2,-5)
We use point slope formula to find equation of line m
[tex]y-y_1=m(x-x_1)\\y+5=\frac{-3}{4} (x-2)\\[/tex]
Multiply both sides by 4
[tex]4(y+5)=-3 (x-2)\\4y+20=-3x+6\\3x+4y+20=6\\3x+4y=14[/tex]
equation can be used to find the equation of line is
[tex]y+5=\frac{-3}{4} (x-2)[/tex]
Learn more : brainly.com/question/19729250
7/12 x 1/8 Find the product of in simplified form
Answer:
7/96
Step-by-step explanation:
to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one
What percent of 88 is 154?
Will mark brainliest for the first correct answer!
Answer:
the answer is 175%
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
I got the answer wrong, this apparently is the correct answer. My deepest apologies.
57.14% is the answer that I put and it was incorrect.
What is the equivalent expression for 6x + 18
You can run 80 yards in 20 seconds, how many yards
can you run in 48 seconds
What is the measure of PLEASE HELP?!