Answer:
Hi as -2,4, and 1 are zeros of the polynomial it has (x-(-2)),(x-1)2 as factors as 1 is a double zero so the answer is y= -3(x+2)(x-4)(x-1)2
Step-by-step explanation:
(Marking brainly)A circular stained glass and wrought iron window is to be installed
above the front entrance. One of the stained glass window designs being
considered has a radius of 90 cm and several wrought iron chords each
60 cm long. How far are the chords from the center of the circle? Draw a
diagram and show your work.
Answer:
radius r = 90 in
diameter d = 180 in
circumference C = 565.486678 in
area A = 25446.9005 in2
In Terms of Pi π
circumference C = 180 π in
area A = 8100 π in2
radius r = 90 in, diameter d = 180 in and circumference C = 565.486678 in, area A = 25446.9005.
What is Chord?A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension.
A chord is, more broadly speaking, a line segment connecting two points on any curve, such as an ellipse. The diameter of a circle is the length of a chord through its center.
The value of the chord for angles ranging from to 180 degrees by increments of degree was documented by Ptolemy of Alexandria in his treatise on astronomy in the second century AD.
Therefore, radius r = 90 in, diameter d = 180 in and circumference C = 565.486678 in, area A = 25446.9005.
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How to solve (x+9)(x+3)(x-2)<0solution in interval notation
To solve the inequality, we need to find the values of x
\(\begin{gathered} \text{When we have quadratic equatio written as (x - a)(x - b) = 0} \\ We\text{ solve by seperating them individually: }x\text{ - a = 0 or x - b = 0 } \\ \text{We will apply same here:} \\ (x\text{ +9) < 0 or (x + 3) < 0 or (x - 2) < 0} \\ (x\text{ +9) < 0} \\ \text{subtract 9 to both sides:} \\ x\text{ + 9 - 9 < 0 - 9} \\ x\text{ < -9} \end{gathered}\)\(\begin{gathered} (x\text{ + 3) < 0} \\ subtract\text{ 3 from both sides:} \\ x\text{ + 3 - 3 < 0 - 3} \\ x\text{ < -3} \\ \\ (x\text{ - 2) < 0} \\ \text{add 2 to both sides:} \\ x\text{ - 2 + 2 < 0 + 2} \\ x\text{ < 2} \end{gathered}\)\(\begin{gathered} x\text{ <-9} \\ (-\infty,\text{ -9)} \\ \text{for x < -3 and x < 2} \\ -3<\text{ x< 2} \\ (-3,2) \\ \text{The solution becomes:} \\ (-\infty\text{ -9) }\cup\text{ (-3, 2)} \end{gathered}\)
if a+b=3, ab=40, and a>b find the value of the following (a+2)(b+2)
a=1 b=2
1+2=3
1x2=2
hope this answers your question
what is the result of the following boolean expression, if x equals 5, y equals 3, and z equals 8? not (x < y or z > x) and y < z
False Reason:...This is false if (x=5) (y=3). and denotes the requirement that both be true.
This is true: (z=8) > (x=5) The entire statement is false because it relies on the and condition rather than the OR condition.
What is an example of a Boolean expression?
A Boolean expression(named for mathematician George Boole) is an articulation that assesses to one or the other valid or misleading. Let's take a look at some examples from common speech: Pink is my favorite color. valid • I'm anxious about PC programming. False This book is a laugh-out-loud good read.
Which three Boolean expressions are there?
There are three fundamental Boolean operators: What's more, OR, and NOT.
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Which points on the number line are included in the solution set of this inequality? (GIVING BRAINLIEST
Answer:
The points -3, 5 and 8 are included in the solution set
Step-by-step explanation:
2 ≤ |x-3| ≤ 6
x-3 ≥ 2 or x-3 ≤ -2 --> x ≥ 5 or x ≤ 1
-6 ≤ x-3 ≤ 6 --> -3 ≤ x ≤ 9
-9 and -5 are smaller than -3 so they don't hold for the second inequality. -3 fits in both. but 0 and 2 don't fit in the first one.
then 5 does and 8 is included too.
The points -3, 5 and 8 are included in the solution set
in which direction does the left side of the graph of this function point fx x4 x34x 2
In Southwest Direction, the left side of the graph of this function point.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
f(x)= \(x^{4}\)-x³+4x-2
it will not pass through the origin, as, f(0)=-2
It is a polynomial of degree four.
The function in question contains two genuine roots and two fictitious roots.
In the third quadrant and a small portion of the fourth quadrant, the left side of the function is located after drawing a line of symmetry. A line of symmetry is at approximately x=0.14.
Hence, In Southwest Direction, the left side of the graph of this function point.
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14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
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Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.
A small class has 9 students, 4 of whine are girls and 5 of whom are boys. Teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.
The probability that the teacher will choose two girls would be = 1/6
What is probability?Probability is defined as the expression that shows the possibility of an outcome of an event which may or may not happen.
The total number of students in the class = 9
The total number of girls = 4
The total number of boys = 5
The formula for finding probability = No of favourable outcome/Total number of outcomes.
The probability that teacher choose first girl = 4/9
One girl is selected we must reduce the number of girls available for selection to 4 - 1 = 3.
We must also reduce the number of children available for selection 9 - 1 = 8.
The probability that teacher choose second girl = 3/8
Thus, the probability = 4/9 × 3/8 = 1/6
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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
In this case, you should check the x-intercept (y = 0).
=> (x-3)(x+4) = 0
=> Two x-intercept at x = 3 and x = -4
C, D are not right, because there is no two x-intercepts.
A is not correct, because both of x-intercepts are less than 0.
=> Option B is correct.
Hope this helps!
:)
Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
what is appropriate volume of a cylinder use 3.14
Answer:
hmm are they options.
Step-by-step explanation:
if so I would say c
Answer:
v=pi×r^2×h so the answer is 452.16
Here this one Help asap
Answer:
Step-by-step explanation:
s x 4
d x 3.14
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list. Enter your answers in terms of degrees. Round your answers to two decimal places.)
(−2, 4), (−3, 8), (6, 8)
Please Help ASAP
Answer:
77.47°
75.96°
26.57°
Step-by-step explanation:
Given vertices of the triangle:
A = (−2, 4)B = (−3, 8)C = (6, 8)Find the vectors from A to B, B to C and A to C:
\(\begin{aligned}AB = B - A &=(x_B-x_A,y_B-y_A) \\&=(-3-(-2), 8-4)\\& = (-1, 4) \end{aligned}\)
\(\begin{aligned}BC=C-B &=(x_C-x_B,y_C-y_B)\\ &=(6-(-3),8-8)\\&=(9,0)\end{aligned}\)
\(\begin{aligned}AC = C - A &=(x_C-x_A,y_C-x_A)\\&= (6-(-2), 8-4) \\&= (8, 4)\end{aligned}\)
Use Pythagoras Theorem to calculate the magnitudes of the vectors:
\(|AB| = \sqrt{(-1)^2+4^2}=\sqrt{17}\)
\(|BC|=\sqrt{9^2+0^2}=9\)
\(|AC| = \sqrt{8^2+4^2}=4\sqrt{5}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Dot Product of two vectors}\\\\$a \cdot b=|a||b| \cos \theta$\\\\where:\\ \phantom{ww}$\bullet$ $|a|$ is the magnitude of vector a. \\ \phantom{ww}$\bullet$ $|b|$ is the magnitude of vector b. \\ \phantom{ww}$\bullet$ $\theta$ is the angle between $a$ and $b$. \\ \end{minipage}}\)
Rearrange the dot product formula to make θ the subject:
\(\implies \theta=\cos^{-1}\left(\dfrac{a \cdot b}{|a||b|}\right)\)
Use the rearranged dot product formula to find the angles between two pairs of vectors.
\(\boxed{\begin{minipage}{4 cm}\underline{Dot Product}\\\\$\textbf{u} \cdot \textbf{v}=u_1v_1+u_2v_2$\\\\where:\\ \phantom{ww}$\bullet$ $\textbf{u}=\left\langle u_1,u_2 \right\rangle$ \\\phantom{ww}$\bullet$ $\textbf{v}= \left\langle v_1,v_2 \right\rangle$ \\ \end{minipage}}\)
Angle A
\(\implies A=\cos^{-1}\left(\dfrac{AB \cdot AC}{|AB||AC|}\right)\)
\(\implies A=\cos^{-1}\left(\dfrac{-1 \cdot 8+4 \cdot4}{\sqrt{17} \cdot 4 \sqrt{5}}\right)\)
\(\implies A=\cos^{-1}\left(\dfrac{8}{4 \sqrt{85}}\right)\)
\(\implies A=77.47^{\circ}\; \sf (2 \; d.p.)\)
Angle C
\(\implies C=\cos^{-1}\left(\dfrac{BC \cdot AC}{|BC||AC|}\right)\)
\(\implies C=\cos^{-1}\left(\dfrac{9 \cdot 8+0 \cdot4}{9 \cdot 4 \sqrt{5}}\right)\)
\(\implies C=\cos^{-1}\left(\dfrac{72}{36 \sqrt{5}}\right)\)
\(\implies C=26.57^{\circ}\; \sf (2 \; d.p.)\)
Interior angles of a triangle sum to 180°.
\(\implies B=180^{\circ}-A-C\)
\(\implies B=180^{\circ}-77.47^{\circ}-26.57^{\circ}\)
\(\implies B=75.96^{\circ}\)
Therefore, the interior angles of the triangle with the given vertices are:
77.47°75.96°26.57°You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
Total amount of money in the account will be $456.
How much money will be in the account after 8 years?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.
The formula for simple interest is: Simple Interest = Principal × Rate × Time
Principal (P) is $300
Rate (R) is 6.5%
Time (T) is 8 years.
Simple Interest = $300 × 0.065 × 8
Simple Interest = $156
Total Amount = Principal + Simple Interest
Total Amount = $300 + $156
Total Amount = $456.
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Question 6 of 15
What is the value of the number in the tenths place?
1.793
O A. 0.1
O B. 0.09
O C. 0.7
O D. 0.07
PLEASE HELP ITS MATH THANK YOUUUU
10ac x 6ab x (-2abc) = ?
Answer:
-120a^3b^2c^2
Step-by-step explanation:
Multiply
WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST
Answer:
10
Step-by-step explanation:
This is one of the easiest equations to perform on a calculator and to memorize, as I had to do in 7th grade. Just remember that when you multiply anything by 10, including itself, you just add a 0 to the result. So, 10 * 10 = 100. 10 * 11 = 110. 10 * 12 = 120. And so on...
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
GIVE 100 POINTS + BRAINLY
15. The following expression has been simplified as follows:
(12a^-3b^4)^-2
=1/144a^-5b^2
=b^2/144a^5
What did the student do wrong?
a. Why do you think the student made this error?
b. Solve the problem correctly. Make sure to show all work!
Answer:
\(\dfrac{a^6}{144b^8}\)
Step-by-step explanation:
a) They did not use the exponent rule: \((a \cdot b)^n=a^nb^n\) correctly.
They added the exponents rather than multiplied them.
b) Correct solution:
\((12a^{-3}b^4)^{-2}\)
Apply exponent rule: \(a^{-b}=\dfrac{1}{a^b}\)
\(\implies \dfrac{1}{(12a^{-3}b^4)^2}\)
Apply exponent rule: \((a \cdot b)^n=a^nb^n\)
\(\implies \dfrac{1}{12^2a^{(-3\times2)}b^{(4 \times2)}}\)
\(\implies \dfrac{1}{144a^{-6}b^8}\)
Apply exponent rule: \(\dfrac{1}{a^{-b}}=a^b\)
\(\implies \dfrac{a^6}{144b^8}\)
Order the numbers from least to greatest.
-4/3, -1, 0, 2/3, 4/5, 6, 9
PLS HELP
Answer:
-4/3, -1, 0, 2/3, 4/5, 6, 9. They were already in the correct order.
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!
Suppose that continuous random variables X and Y have a joint probability density function given by: f X,Y
(x,y)={ c⋅x 2 y,0,0≤x≤2;0≤y≤2 otherwise 1. Define the mode of a continuous random variable to be the point at which the density is maximized, if such a point exists. What is the mode of YY?
2. What value of cc makes this a valid probability density function?
3. What is the expected value of YY, E[Y]E[Y]?
4. What is the variance of YY, V[Y]V[Y]?
And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)
To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)
For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.
To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:
integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx
= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx
= integral from 0 to 2 of \(c*x^2 x2d\)
= [2c/3 * x^3] evaluated from 0 to 2
= (16c/3)
For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:
f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }
To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx
= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx
= integral from 0 to 2 of (3/16)*x^2 dx
= [3/16 * x^3/3] evaluated from 0 to 2
= 1
Therefore, the expected value of Y is 1.
To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx
= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx
= integral from \(0 to 2 of (3/8)*x^2 dx\)
= \([3/8 * x^3/3]\) evaluated from 0 to 2
= 2
And , the Y's variance is
\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)
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Find the area of this problem
The area of the kite is A = 48 units²
Given data ,
Let the area of the kite be represented as A
Now , the value of A is
Let the first diagonal of the kite be d₁ = 12 units
Let the second diagonal of the kite be d₂ = 8 units
Now , Area of kite = ( 1/2 ) d₁ x d₂
On simplifying , we get
A = ( 1/2 ) ( 12 ) ( 8 )
A = 48 units²
Therefore , the value of A is A = 48 units²
Hence , the area of the kite is A = 48 units²
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(4x²-5x+10)+ (6x³+7x²-9x+2)
MAKE THIS IN ALGEBRA TILES NONSENSE ANSWER REPORT
Answer:
6x^3+11x^2-14x+12
Step-by-step explanation:
We just simply add like terms (terms with same power of x):
\(6x^3+(4x^2+7x^2)+(-5x+-9x)+(2+10)\)
Like terms are in brackets now
So you just simplify now to give you:
\(6x^3+11x^2-14x+12\)
joe is going to travel to dallas. he lives 320 miles away and can average 69 miles per hour. use an equation to represent the distance D from Dallas in terms of h, the number of hours joe has traveled
Given parameters:
Distance = 320miles
Average speed = 69miles per hour
Unknown;
A motion equation = ?
Given that D should represent Distance
h number of hours traveled by Joe
Speed is a physical quantity defined as the distance divided by time taken.
It is mathematically expressed as;
Speed = \(\frac{Distance}{time taken}\)
Now substitute D for distance and h for the number time;
Speed = \(\frac{D}{h}\)
So distance;
D = Speed x h
For this journey;
D = 69h
The equation is D = 69h
Answer:
The answer is B. D=320-69h
Just took the quiz :)
5. A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population
have spots on their back. Based on the results of this study, how many frogs in the population do
NOT have spots on their back?
A. 80 C. 1,280
B. 168 D. 1,120
Answer:
1,280
Step-by-step explanation:
prob(spots) = 12/180 = 1/15
so of the 1200 frogs, (1/15)(1200) should have spots, so ..
how many should not have frogs ?
or
prob(not spots) = 14/15
number who don't have spots = (14/15)(1200) = 1,280
Perform the indicated operation & simplify. Express the answer as a complex number. ( 12 − 11 i ) 2
The answer is 24 - 22i
The answer we got is a complex number.
We are asked to find out the multiplication of a complex number and a real number.
The general form of a complex number is a + bi.
If we need to find the product of a complex number and a real number,
then, we need to multiply the real and imaginary parts by the real number and write down the answer.
The real number given is 2.
And the complex number given is 12 - 11i.
The real part of the complex number is 12.
And the imaginary part of the complex number is -11.
When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.
When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22
Therefore, the required complex number is 24 - 22i
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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 190 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x= 167.65 cm, y= 81.36 kg, r= 0.309, P-value= 0,002, and y= 106+1.15x. Find the best predicted value of y (weight) given an adult male who is 156 cm tall. Use a 0.10 significance level.
The best predicted weight of a person that is 156 cm is 285.4kg
We have the regression equation asy= 106+1.15
When the adult male is 156 cm tall the weight of this person would be calculated as:
y= 106+1.15*156
y = 106 + 179.4
y = 285.4
Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg
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Does anyone know the answer to this question
A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find the probability of the given event. Please enter your answer as a decimal rounded to two places. (a) The marble is red Your answer is : (b) The marble is odd-numbered Your answer is : (c) The marble is red or odd-numbered
Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C