Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
(x - 6)² = 0
x - 6 = 0
x = 6
Hope this helps! :)
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
Factor left side.
(x - 6)² = 0
Set factor equal to 0.
x - 6 = 0
x = 6
Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer.
Hello!
Answer:[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]
_____________________________________________Explanation:There are 100 centimetres in a metre. So, our denominator will be 100.
The numerator is 5 because that is the number of centimetres.
⇒ [tex]\frac{5}{100}[/tex]
This fraction can be reduced, since 5 goes into the denominator evenly.
5 ÷ 5 = 1
100 ÷ 5 = 20
So, our reduced fraction is [tex]\frac{1}{20}[/tex]
g Random digits are integers selected from among {0,1,2,3,4,5,6,7,8,9} one at a time in such a way that at each stage in the selection process the integer chosen is just as likely to be one digit as any other. In simulation experiments it is often necessary to generate a series of random digits by using a random number generator. In generating such a serie, let X denote the number of trials needed to obtain the first zero. a) What is the functional form of the pmf? b) Find the P(X=3). c) Find P(X<=5). d) What is the mean of X? e) What is the Var(X)?
Answer:
a) P(X=x) = p× (1-p)^(x-1)
b) P(X=3) = 0.081
c) P(X≤5) = 0.40951
d) Mean of X= 10
e) Var(X)= 90
Step-by-step explanation:
This is a question on geometric distribution.
In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.
This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)
For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}
We stop the trials when we get a success.
From the question, there are 10 numbers
The probability of success = p = 1/10
For the solutions of the question from (a-e), See attachment below.
f(x) = P(X= x)
Where P(X= x) is the probability of X taking on a value x
What is the length of arc FE?
Answer:
4.42
Step-by-step explanation:
Angles A and C are identical because the two circles are similar.
The arc length formula is s = rФ, where r is the radius and Ф is the central angle.
If we know s and r, then the central angle Ф is s/r, or, in this case,
Ф = 8.84/5.
Now let's find the length of the arc EF: s = rФ becomes:
s = (2.5)(8.84/5) = 4.42
The origin is at (1, 1): that is, the origin is at position 1 on the x-axis and at position 1 on the y-axis.
Answer: What is the question? If you could be more specific I could try to help but there is no question here.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
just did it
Which Relation is a Function Please Answer ASAP
Answer:
A
Step-by-step explanation:
Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot
Hope that helps
PLEASE! NEED HELP!!!
Answer:
x² + 2x + 2 = 0Step-by-step explanation:
Formula for finding a quadratic equation when its roots are given is
x² - ( sum of roots)x + product of roots=0
The roots are
- 1 + i
- 1 - i
Sum of roots is = - 1 + i - 1 - i = -2
Product of roots is = ( -1 + i)(- 1 - i)
= 1 + 1 = 2
So the quadratic equation is
x² - (-2)x + 2 = 0
x² + 2x + 2 = 0Hope this helps you
Answer:
x^2+2x+2
Step-by-step explanation:
to find b in the equation :
b^2<4ac when having two complex roots
the required equation is x2 - Sx + P = 0
the sum of the roots :-1-i+-1-i=-2
the product=2
so the equation: x^2-(-2)x+2
x^2+2x+2
What are the total operating expenses? (This is line (c) on the income statement.)
This is a fill in the blank.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In this question some information is missing that's why we explain "operating expenses".
The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.
For other companies, these expenses are unavoidable and made mandatory. This cost is primarily important because it helps to evaluate the price effectiveness of the company as well as its inventory control. It also shows the costs and requires a consulting company needs to be making to maximize income, which would be a company's main objective.Simplest form w^3-w(w^2+2w-1)+2w
Answer:
[tex] - 2 {w}^{2} + 3w[/tex]Solution,
[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]
Some rules:
[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]
Hope this helps...
Good luck on your assignment..
Which of the following numbers is not part of the solution to x ≤ -2? * -2 * -2.45 * -8 * -1.76
Answer:
-1.76
Step-by-step explanation:
-2 is equal to -2, so it works (greater or less than -2)
-2.45 is less than -2, so it works
-8 is less than -2, so it works
-1.75 is greater than -2, so it doesn't work
Identify the fallacies of relevance, weak induction, presumption, ambiguity, and illicit transference committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." When I visited Dr. Ames about my cholesterol, she insisted that I go on a statin drug. She says everybody should be on a statin. And when I saw Dr. Collins for depression, he prescribed Prozac. And when the Prozac gave me nausea, he prescribed Zofran to stop the nausea. Doctors are all the same. They all take their orders from the pharmaceutical industry.
Answer:
Hasty generalization fallacy
Step-by-step explanation:
Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.
In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.
Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.
Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.
How are periodic phenomena relatively easy to model using trig functions? What makes them difficult to model this way?
Answer:
Periodic phenomena means that the phenomena has a (almost) constant time period or space period.
As you know, the trigonometric functions cos(x) and sin(x) also have a constant period of 2*pi, so these functions are really useful to model periodic phenomena.
Now, the problem may be that the trigonometric functions may be useful to describe the "periodic" part, but not to describe the actual phenomena.
An example of this can be a square alternating current.
While it has a constant period like a trigonometric function, the trigonometric functions can not really model the "square" part of this current (you know that the sinusoidal functions actually are curves and continuous)
Here comes something called the Fourier Series, that are series of the form:
F(x) = a₀ + ∑(aₙ*cos(nx) + bₙ*sin(nx))
That can be used to model almost any periodic phenomena, but the actual Fourier Series may be hard to construct.
If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)
Answer:
A. -259
B. inverse function is 1/2 √(-x-3)
Step-by-step explanation:
Here, we want to find f(8)
Simply substitute x = 8 in the equation.
The equation is
f(x) = -4x^2 -3
So f(8) = -4(8)^2-3
f(8) = -256-3
f(8) = -259
Inverse of f(x) = -4x^2 -3
Simply equate this to m
m = -4x^2-3
-4x^2 = m + 3
x^2 = (m + 3)/-4
x^2 = -m/4 -3/4
x = √(-m-3)/4
x = 1/2√(-m-3)
Put back the value of x for m
x = 1/2 √(-x-3)
Can someone help me with this question please?
Answer:
If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.
Therefore, the ratio would be 345:575.
Hope this is right and helps :)
HELP ASAP HELP PLEASE ASAP
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using this formula, we get
[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]
[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]
Now,
[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How many action figures does Erica have? How many action figures does Ricardo have
Answer:
Erica has 51 action figures and Ricardo has 17 action figures.
Step-by-step explanation:
First, label your variables.
x=the number of action figures Erica has
y=the number of action figures Ricardo has
You know that they have 68 total action figures so x+y=68.
Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.
x+y=68 3y=x (Substitue 3y for x)
3y+y=68 (Then combine like terms)
4y=68 (Divide each side by 4)
y= 17
Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.
3(17)=x
x=51
To check your answers, you can plug them back into the original equations.
Answer:
Erica:51 action figures; Ricardo: 17 action figures
Reason:
68/4=17
17*3=51<- this is the amount of action figures that Erica has.
17 <-this is the amount of action figures that Ricardo has.
17 (Ricardo) + 51 (Erica) = 68 (total amount)
I need help on this
Answer:
y = x+5
Step-by-step explanation:
The y intercept is 5 ( where it crosses the y axis)
We need two points to find the slope
(0,5) and (1,6)
The slope is
m = (y2-y1)/(x2-x1)
= (6-5)/(1-0)
= 1/1
=1
The slope intercept is
y = mx+b
y = 1x +5
y = x+5
Answer:
y = x + 5
Step-by-step explanation:
Slope intecept form: y = mx + b
y = x + 5
It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.
Calculate the volume of this cylinder, giving your answer to one decimal place. I will give brainliest
Answer:
603.2
Step-by-step explanation:
V=πr^2h
V=π(4)^2(12)
V=π(4)^2(12)
V=603.1857895
A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?
Answer:
The growth rate is 7.2%
Step-by-step explanation:
First thing we need to do here is to set up an exponential equation;
This can be written as follows;
F = I(1 + r)^t
where F is the future value = 20,000
I is the initial value = 10,000
r is the rate in percent which we want to calculate
t is time in years = 10 years
Substituting the values in the question into the exponential equation, we have;
20,000 = 10,000(1 + r)^10
divide both side by 10,000
2 = (1+r)^10
Find the 10th root of both sides
1+ r = 2^(1/10)
1 + r = 1.07177346254
r = 1.07177346254-1 = 0.07177346253
Let’s approximate r as 0.072
Now this to percentage?
That would be 72/1000 * 100% = 7.2%
In the triangles, HG = MP and GK = PN. Triangles H G K and M P N are shown. Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters. Sides H G and M P are congruent. Sides G K and P N are congruent. Which statement about the sides and angles is true?
Answer:
m∠G > m∠P
Step-by-step explanation:
Given that:
HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.
The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.
Answer:
A.
Step-by-step explanation:
❗️5 points❗️
4. State the slope of the line.
A. 1
B. 0
C. undefined
D. -4
Answer:
C. undefined.
Step-by-step explanation:
Find the slope of the line, using the following equation:
m = (y₂ - y₁)/(x₂ - x₁)
Find two points that are located on the line.
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (-4 , 1)
Plug in the corresponding numbers into the corresponding variables.
m = (1 - 0)/(-4 - (-4))
Note that when you have two negative signs directly next to each other, it becomes an addition:
m = (1)/(-4 + 4) = 1/0
You cannot have a slope of rise 1, run 0, so your answer is undefined.
C. undefined.
~
insert four irrational numbers between 3 root 2 and 2 root 3
Answer:
3√2 > √17 > √15 > √14 > √13 > 2√3Step-by-step explanation:
[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]
{√16 = 4 is rational}
For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?
Hi there! Hopefully this helps!
The answer is: 0.016
Here is how I got that answer:
16/1000=0.016
Answer:
Step-by-step explanation:
£16÷1000=0.016p
If f(x)=8-10x and g(x)=5x+4, what is he value of (fg)(-2)
Answer:
168
Step-by-step explanation:
We would like to multiply these two expressions together and then substitute -2 in for x to solve.
f(x) * g(x) = (8 - 10x) * (5x + 4)
We will use FOIL (first, outer, inner last):
(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4
Combining terms, we get:
f(x) * g(x) = 32 - 50x²
Plug -2 in for x:
32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168
The answer is thus 168.
~ an aesthetics lover
Trina uses 1/2 of the cup of sugar and 3/4 cup of flour of recipe. How many cups of sugar would she need if she uses 3 cups of flour?
Answer:
you need 2 cups of sugar
Step-by-step explanation:
1/2 cups of sugar = 3/4 cup of flour
x = 3 cups of flour
1/2*3 = 3/4x
3/2 = 3/4x
x =3/2 ÷ 3/4
x =2
Match each polynomial expression to its additive inverse.
6x²-x-2
6x2 - x+2
6x2 - x+2
6x2 + x + 2
6x²+x-2
6x2 + x-2
6x2+x-2
-6,2-x+2
Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
Match the solution set given in inequality notation with the solution set given in interval notation.
Answer:
x≤7.8 ⇒(-∞;7.8]
x<7.8 ⇒ (-∞;7.8)
x>7.8 ⇒ (7.8; ∞)
x≥7.8 ⇒ [7.8; ∞)
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
• x≤7.8
The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets
(-∞;7.8]
• x<7.8
All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)
(-∞;7.8)
• x>7.8
All the numbers higher than 7.8, open interval (parenthesis)
(7.8; ∞)
• x≥7.8
All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)
[7.8; ∞)
Answer:
Step-by-step explanation:
Hello! I'm stuck on Pythagorean theorem in geometry. There are some numbers that suppose to have a line on top but I don't know how to put it on top of the number, I just put this `. So, here's the problem: Which side lengths form a right triangle? A. 2,2, v```4``
Choice A: [tex]2,2, \sqrt{4}[/tex]
Choice B: 9, 40, 41
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
Answer:
(B)9, 40, 41
Step-by-step explanation:
To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Note that the longest side length is always the hypotenuse.
Choice A: [tex]2,2, \sqrt{4}[/tex]
Now, [tex]\sqrt{4}=2[/tex]
Therefore:
[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]
These side lengths form an equilateral triangle. They do not satisfy the theorem.
Choice B: 9, 40, 41
The longest side length is 41.
[tex]41^2=1681[/tex]
[tex]40^2+9^2=1681[/tex]
Therefore:
[tex]41^2=40^2+9^2[/tex]
These side lengths form a right triangle.
Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]
[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]
Therefore, the longest side length is [tex]\sqrt{125}[/tex]
[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]
These side lengths do not form a right triangle.
what is the y intercept of the line x -72 -54 -35 y 25 13 1
Answer:
can you retype the equation
I think it is not correctly typed
if f(x) = - 5^x - 4 and g (x) = - 3 x - 2 find (f - g) (x)
O A. ( f - g )(x) = 5^x - 3x + 2
O B. ( f - g )(x) = -5^x - 3x - 6
O C. ( f - g )(x) = - 2x -2
O D. ( f - g )(x) = -5^x + 3x - 2
Answer:
answer D
Step-by-step explanation:
hello,
[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]
hope this helps
The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Functions are,
⇒ f (x) = - 5ˣ - 4
⇒ g (x) = - 3x - 2
Hence, We get;
The value of function (f - g) (x) is,
⇒ (f - g) (x)
⇒ f (x) - g(x)
⇒ (5ˣ - 4) - (- 3x - 2)
⇒ 5ˣ - 4 + 3x + 2
⇒ 5ˣ + 3x - 2
Thus, The value of function (f - g) (x) is,
⇒ 5ˣ + 3x - 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
which of the following box plots best represents the set of data below?
Answer:
not sure
Step-by-step explanation:
Answer:
answer B
Step-by-step explanation:
to set up whisker plots you have to find the 1st 2nd and 3rd quartile.
hopes this helps