What are the approximate solutions of 4x^2+3=-12
Answer:
yeet
Step-by-step explanation:
Answer:
yesjdjdhhdbbsszussksjdhdnd d92874
a marble is selected from a bag containing eight marbles numbered to . the number on the marble selected will be recorded as the outcome. consider the following events. event : the marble selected has a number less than . event : the marble selected has an even number. give the outcomes for each of the following events. if there is more than one element in the set, separate them with commas.
Event A and B = 4
Event A or B = 2, 3, 4, 5, 6, 8
Complement of Event B = 1, 2, 7, 8
Event A: The marble selected has an even number.
The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.
Event B: The marble selected has a number from 3 to 6.
The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.
Event A and B:
The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.
Therefore, the outcome for Event A and B is: 4.
Event A or B:
The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.
Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.
Complement of Event B:
The complement of an event includes all the outcomes that are not part of the event.
In this case, the complement of Event B includes the numbers that are not from 3 to 6.
Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.
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Complete question
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Event A and B =
Event A or B =
Complement of the event B=
Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved. How many more weeks will Sylvia need to save money for her trip?
Answer:
Step-by-step explanation:
55x + 165 = 1375
so just add 55 till you get there
22
-2 + 3x = 6wv, for x
(please provide a step by step answer!)
Answer:
Step-by-step explanation:
-2 + 3x = 6wv
Add 2 to both sides
3x = 6wv + 2
Divide the entire equation by 3
\(\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}\)
Lara's living room is 9 meters wide and 9 meters long. She wants to install purple carpet that costs $8.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$648.00
Step-by-step explanation:
==>Given:
Squared living room of 9m by 9m
Cost of purple carpet per m² = $8.00
==>Required:
Cost of buying carpet to cover the squared living room
==>Solution:
Find the area of the room:
Area of squared room = 9m × 9m = 81m²
Find cost of purple carpet that would cover 81m²:
Let x be the cost of carpet required to cover the room.
Thus,
1m² = $8.00
81m² = x
cross multiply
1*x = 8.00*81
x = 648
Cost of purple carpet to cover the living room = x = $648.00
If the graph of f(x) contains the coordinates (0, 1) and (4, 16), which of the
following coordinates must be on the graph of the inverse of f(x)?
a. (-4,-16)
b. (16,4)
c. (0,-1)
d. (-16,-4)
e. (0,1)
Answer:
b. (16 , 4)
Step-by-step explanation:
f(x): 0 -> 1 , 4 -> 16
f⁻¹(x): 1 -> 0 , 16 -> 4
Hey Brainly Users! Sometimes you get the answer wrong and guess what that is ok! You didn't mean to and those who are rude to you about are just not being kind! You did not do it on purpose you tried your best to help someone which is very kind! I hope everyone out their knows that they are beautiful inside and out and I hope you never let anyone take advantage of you or bring you down! Have a great Christmas break!
Be kind to one another, tenderhearted, forgiving one another, as God in Christ forgave you.
Answer:
Ok! Thanks for the points, brainliest?
what is the general form of the regression equation?
The general form of the regression equation is y = a + bx
A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.
Therefore, the general form of the regression equation is y= a+bx
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A study by Great Southern Home Insurance revealed that none of the stolen goods were recovered by the homeowners in 80 percent of reported thefts: [ 6 marks] a. During a period in which 200 thefts occurred, what is the probability that no stolen goods were recovered in 170 or more of the robberies? b. During a period in which 299 thefts occurred, what is the probability that no stolen goods were recovered in 150 or more robberies?
Solution :
Given :
n = 200, p = 80% = 0.8, q = 1 - p = 0.2
\($\mu = np$\)
\($= 200 \times 0.8 = 160$\)
\($\sigma= \sqrt{npq}$\)
\($\sigma= \sqrt{200 \times 0.8 \times 0.2}$\)
= 5.6569
a). x = 169.5
∴ \($z = \frac{x- \mu}{\sigma}$\)
\($z = \frac{169.5- 160}{5.6569}$\)
= 1.6794
\($P(x \geq 170) = P(z>1.6794) = 0.0465$\)
Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465
b). x= 149.5
\($z = \frac{x- \mu}{\sigma}$\)
\($z = \frac{149.5- 160}{5.6569} = -1.8561$\)
\($P(x \geq 150) = P(z>-1.8561) = 0.9683$\)
Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683
The average blink last one-tenth of a second. If you blink 14,000 times per day, for how many seconds are your eyes closed while you’re awake? Divide this number by 60 to determine the number of minutes per day your eyes are closed while awake. (2 pts.)
Answer:
14?
Step-by-step explanation:
a square has an area of 90cm^2
work out the length of one side of the square
Give your answer to 1 decimal space
Step-by-step explanation:
area of square= a^2
\(90 = {a}^{2} \\ a = \sqrt{90} \\ a = 9.48683298 \\ a= 9.5\)
I NEED HELP ONCE AGAIN PLEASE AND THANK YOU IF CORRECT I WILL MARK BRAINLYEST
Answer:
(5,2)
Step-by-step explanation:
Find the point on the following surface that has a positive x-coordinate and at which the tangent plane is parallel to the given plane. x² + 3y² +62² = 36672; 12x + 54y + 84z = 2
The point on the surface with a positive x-coordinate and at which the tangent plane is parallel to the provided plane 12x + 54y + 84z = 2 is approximately (181, -12, 59).
To determine the point on the surface defined by the equation x² + 3y² + 62² = 36672 that has a positive x-coordinate and at which the tangent plane is parallel to the provided plane 12x + 54y + 84z = 2, we can follow these steps:
1. Calculate the gradient vector of the surface equation:
The gradient vector of the surface equation x² + 3y² + 62² = 36672 is:
∇f = (2x, 6y, 0).
2. Calculate the normal vector of the provided plane equation:
The normal vector of the plane equation 12x + 54y + 84z = 2 is given by the coefficients of x, y, and z:
n = (12, 54, 84).
3. For the tangent plane to be parallel to the provided plane, the gradient vector of the surface must be perpendicular to the normal vector of the plane.
This implies that the dot product of the gradient vector and the normal vector must be zero:
∇f · n = 2x(12) + 6y(54) + 0(84) = 24x + 324y = 0.
4. We want to obtain the point on the surface with a positive x-coordinate, so we set x > 0.
From the equation 24x + 324y = 0, we can solve for y:
24x + 324y = 0
324y = -24x
y = (-24/324)x
y = (-2/27)x.
5. Substitute this expression for y into the surface equation x² + 3y² + 62² = 36672:
x² + 3((-2/27)x)² + 62² = 36672
x² + (4/729)x² + 3844 = 36672
(730/729)x² = 32828
x² = (32828 * 729) / 730
x² = 32828.
6. Take the positive square root to obtain x:
x = √32828
x ≈ 181.
7. Substitute this value of x back into the equation y = (-2/27)x to obtain y:
y = (-2/27)(181)
y ≈ -12.
8. Substitute the values of x and y into the surface equation to obtain z:
181² + 3(-12)² + z² = 36672
32761 + 3(144) + z² = 36672
32761 + 432 + z² = 36672
33193 + z² = 36672
z² = 3479
z ≈ 59.
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A segway travels 12.5 miles every 1/2 hour. What is the unit rate of miles per hour?
Answer:
The answer tot he question provided is 25.
Help anyone please!! Anyone
Answer:
Total surface area = 132 square feet
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides
Area of the triangular surface = \(\frac{1}{2}(\text{Base})(\text{Height})\)
= \(\frac{1}{2}\times 5\times 4\)
= 10 square feet
Area of the rectangular side with dimensions 5ft by 7ft,
Area = 5 × 7 = 35 square feet
Area of the rectangular side with dimensions 7ft by 4ft,
Area = 7 × 4 = 28 square feet
Area of the rectangular side with dimensions 7ft by 7ft,
Area = 7 × 7 = 49 square feet
Total surface area = 2(10) + 35 + 28 + 49
= 132 square feet
Factor:x2 - 25
Please help!
Answer:
Factor \(x^{2}\)-25 would be (x+5)(x-5)
Step-by-step explanation:
First step is to isolate the x squared, secondly find a number that multiplies by itself and would equal - 25.
Therefore, (x+5) (x-5) is your answer.
Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.
Answer:
Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3
Step-by-step explanation:
First, let's solve for the hypotenuse by using the Pythagorean Theorem.
a² + b² = c²
⇒ 7² + 3² = c²
⇒ 49 + 9 = c²
⇒ 58 = c²
⇒ √58 = c
Now that we know the hypotenuse is √58, we can solve for the trig ratios.
Cos(θ) = adjacent/hypotenuse = 7/√58
Tan(θ) = opposite/adjacent = 3/7
Csc(θ) = hypotenuse/opposite = √58/3
The area of a trapezoid can be found using the expression
1/2h(b1+b2)
where h is the height and b1 and b2 are the lengths of the bases
a trapezoid has a height of 12 units and bases or (2x+3) and (3x+1).
which expression represents the area of the trapezoid?
answer options:
5x+4
6x+3
30x+42
60x+48
The area of the trapezoid is 30x + 42. Option C
How to determine the expressionThe formula for calculating the area of a trapezoid is expressed as;
A = 1/2h(b1+b2)
Such that the parameters are enumerated as;
A is the areab1 and b2 are the bases of the trapezoidh is the height of the trapezoidNow, substitute the values, we get;
Area = 1/2 × 12(2x + 3 + 3x + 4)
collect the like terms, we have;
Area = 6(5x + 7)
Expand the bracket, we get;
Area = 30x + 42
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The cost of 10 days at Healthy Gym is $ .
Answer: $25
Step-by-step explanation:
The cost of 10 days at Healthy Gym is $20
What is a healthy gym routine?At least 2 and 1/2 hours of moderate aerobic activity, or 1 and 1/4 hours of vigorous aerobic activity.
What is healthy gym?Every day gym can help improve cardiovascular system, strengthen your muscles, help maintain weight, boost mental health and decrease the odds that you'll develop other health conditions.
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Find the absolute (i.e., global) maximum and absolute minimum values of the function f(x) = 8x/6х + 4 on the interval (1,5) Absolute maximum = Absolute minimum =
The absolute maximum value is 20/17, which occurs at x = 5, and the absolute minimum value is 4/5, which occurs at x = 1.
To find the absolute maximum and minimum values of the function f(x) = 8x/(6x + 4) on the interval (1, 5), we need to find the critical points of the function within the interval and evaluate the function at those points, as well as at the endpoints of the interval.
First, let's find the derivative of the function:
f(x) = 8x/(6x + 4)
f'(x) = [8(6x + 4) - 8x(6)] / (6x + 4)^2
f'(x) = [8(2)] / (6x + 4)^2
f'(x) = 16 / (6x + 4)^2
The critical points occur when f'(x) = 0 or is undefined. However, since f'(x) is always positive on the interval (1, 5), there are no critical points within the interval.
Next, let's evaluate the function at the endpoints of the interval:
f(1) = 8(1)/(6(1) + 4) = 8/10 = 4/5
f(5) = 8(5)/(6(5) + 4) = 40/34 = 20/17
Finally, we need to determine which of these values is the absolute maximum and which is the absolute minimum.
Since f(x) is always positive on the interval (1, 5), the function can never be less than 0. Therefore, the absolute minimum value is the smallest value of f(x) on the interval, which occurs at x = 5, where f(5) = 20/17.
To find the absolute maximum value, we compare the values of f(1), f(5), and the maximum value of f(x) as x approaches the endpoints of the interval. We can use the fact that the function is continuous on the closed interval [1, 5] to find the maximum value.
As x approaches 1, we have:
f(x) = 8x/(6x + 4) → 8/10 = 4/5
As x approaches 5, we have:
f(x) = 8x/(6x + 4) → 40/34 = 20/17
Therefore, the absolute maximum value is 20/17, which occurs at x = 5, and the absolute minimum value is 4/5, which occurs at x = 1.
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An academic department with five faculty members - Anderson, Box, Cox, Cramer, and Fisher - must select two of its members to serve on a personnel review committee. Because the work will be time-consuming, no one is anxious to serve, so it is decided that the representative will be selected by putting the names on identical pieces of paper and then randomly selecting two.
(a) What is the probability that both Anderson and Box will be selected?
(b) What is the probability that at least one of the two members whose name begins with C is selected?
(c) If the five faculty members have taught for 3, 6, 7, 10, and 14 years, respectively, at the university, what is the probability that the two chosen representatives have a total of at least 17 years teaching experience there?
(a) The probability that both Anderson and Box will be selected is 0.1
(b) The probability that at least one of the two members whose name begins with C is selected is 0.7
(c) The probability that the two chosen representatives have a total of at least 17 years teaching experience there is 0.6
(a) You will have to consider the 10 different outcomes. Each combination of "A−B","B−Cox", "B−Cramer",... is equally likely to be drawn.
There are \(\left \{ {{5} \atop {2}} \right. =10\)
10 ways to choose 2 people from a group of 5. Since we are only considering 1 possibility, the answer will be 1/10=0.1
(b), there are a few possibilities where at least 1 "C" member gets selected. Consider
"Cox−A", "Cox−B", "Cox−Cramer", "Cox−F"
and
"Cramer−A", "Cramer−B", "Cramer−Cox", "Cramer−F"
Notice that "Cox−Cramer" appears twice, so one needs to be eliminated. Turns out there are 7 different possibilities out of 10...so we have 0.7
(c), I'd personally recommend taking the "compliment" of events. ie, how many combinations have LESS than 17 years? Turns out there are 4 combinations - (3,6),(3,7),(3,10),(6,7).
You can use the answer from (a) and evaluate this to become
1−4/10=0.6.
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What is the answer for this math question?
Answer:
Gn=A1 r(n/3)
Step-by-step explanation:
well since u just divide by three I think the answer is divide by 3.
Hope this helps Happy Thanksgiving :D
Rolando needs to paint the exterior of his house. He calculates that he will be painting 918.75 square feet of the house. The local hardware store sells paint by the gallon and each gallon will cover 61.25 square feet. About how many gallons of paint will Rolando need to purchase?
How many polynomials can be formed with and 5 as zeroes?
The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.
What is a polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.
Given that the zeros of a polynomial are -2 and 5.
The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].
where k is a real number.
The polynomial that has -2 and 5 zeros is
p(x) = k[x² + (-2 + 5)x + (-2)×5]
p(x) = k[x² + 3x - 10]
Where k is a real number.
The number of real numbers is infinity.
The number of polynomials is infinity.
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Estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times
The sum of 10 will occur approximately 50 times if the two number cubes are rolled 600 times.
To estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times, we need to consider the probability of getting a sum of 10 on a single roll.
The possible combinations that result in a sum of 10 are (4,6), (5,5), and (6,4). Each of these combinations has a probability of 1/36 (since there are 36 possible outcomes in total when rolling two number cubes).
Therefore, the probability of getting a sum of 10 on a single roll is (1/36) + (1/36) + (1/36) = 3/36 = 1/12.
To estimate the number of times this will happen in 600 rolls, we can multiply the probability by the number of rolls:
(1/12) x 600 = 50
So we can estimate that the sum of 10 will occur approximately 50 times if the two number cubes are rolled 600 times.
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The coordinates of the endpoints of MP are M(-3,-2) and P(-2,3). which measurement is closest to the length of MP in units
A 7.1 units
B 5 units
C 4.5 units
D 10 units
Answer: The answer is, A 7.1 units
Step-by-step explanation:
Which graph represents the relationship between the quantities in this situation? Explain how you know
Answer:
C
Step-by-step explanation:
Solve the above equation for y by subtracting 0.25x from both sides to put it in slope intercept form.
y = -0.25x + 12
If you change the decimal to a fraction of 1/4, you can do rise/run.
y = -1/4x + 12
If you go down 1 over 4 that will put you at (4, 11). Go down 1 over 4 one more time and you are at (8, 10)
F(x)= x^3+4x^2-5x-20;x+4
Find the 9th term of the geometric sequence 3,-15,75
Answer:
1,171,875
Step-by-step explanation:
To find the 9th term in this sequence we will figure out which number we are multiplying each time in this geometric sequence by dividing the second number by the first: -15/3, giving us -5. After this, we just continue the sequence up to 9.
The function we will use is:
3*(-5)^(n-1)
The full sequence up to 9 would be:
3,-15, 75, -375, 1,875, -9,375, 46,875, -234,375, 1,171,875
Answer:
This is the answer. pls give me the brainliest. Thanks
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?
The number of adult tickets that were sold would be = 435 tickets.
What is a ticket?A ticket is an official document that gives an individual access to an event.
The cost of adult tickets = $8
The cost for student tickets = $4
The number of students tickets sold = X
The number of adults tickets sold = X +30
The told number of tickets sold = 840
To find X;
X + X + 30 = 840
2x + 30 = 840
2x = 840-30
2x = 810
X = 810/2
X = 405
Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.
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