Step-by-step explanation:
x-4)x³+2x²-16x-32(x²+6x+8
x³-4x²
- +
____________
6x²-16x-32
6x²-24x
- +
_________
8x-32
8x-32
- +
_____
X X
______
Hence,
The quotient is x²+6x+8.
Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.
Answer:
can you shorten down the question its too long to understand
Step-by-step explanation:
Help me please I really need help
Answer:
it doesn't because it's not a set of ordered pairs
I need help I don't understand
Answer:
96.9
Step-by-step explanation:
A little bit of this and allit;e bit of that
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
what is the answer the question 3? pls help!!
Answer:
no slope
Step-by-step explanation:
m=y2-y1/x2-x1
(-1)-1=(-2)
7-7=0
(-2)/0 is undifined
there is no slope
hope this helps :3
Alice has x dollars in her bank account. She deposits $75 in her account. After the deposit, the account has $550. Write an equation that could be used to figure out how much money was in her account before the deposit.
Answer:
$475
Step-by-step explanation:
$550 - $75 = $475
$475 = x
Answer:
The answer would be $550-$75
Step-by-step explanation:
This would give you how much money was in her account before she adds the deposit.
What operation is happening in an additive pattern??
Multiplication
Subtraction
Addition
Division
Answer:
Addition
Step-by-step explanation:
If it has the word "add" in it it's probably addition.
Answer:
The answer is addition.
Step-by-step explanation:
What is the inverse of the function? *
f(x)=3x+1
Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
Answer:
[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]
Step-by-step explanation:
Inverse means the opposite of the original function.
Find the slope of the line y=-3x+3
Answer:
Step-by-step explanation:
M = -3
y= mx +b
m stands for slope and -3 is in that position so -3 is your slope
Answer:
⇝ Slope = -3Step-by-step explanation:
The question is asking us to find the slope of the line y = -3x + 3.
Note that the equation is written in slope-intercept form:
y = mx + b
Where:
m = slope (coefficient of x)b = y-intercept (constant)For this problem the coefficient of x is -3, and the constant is 3.
Therefore, the slope is -3.
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
iiii need heeelllppp with this one
Step-by-step explanation:
line passes through the point (5,0) and another one (0,3)
equation of the line passing through two points is
x-x1/x2-x1=y-y1/y2-y1
so
x-5/0-5=y-0/3-0
(x-5)*3=y*(-5)
3x-15+5y=0
this is the equation of the line shown in the graph
how to construct cuboid net? what should be the measurement (around 1-5)?
the measurement should be 4
is 1.05 a terminating decimal
Answer:
No
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
How many sandwiches must you sell to make $100 profit
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?
Answer:
5 days
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
9/2=4.5
rounded 5
i mark as brainliest
Answer:
I want to say 6.75 just because it's to small tho
Step-by-step explanation:
Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5
Step-by-step explanation:
How do I solve this?
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)
Answer:
Step-by-step explanation:
Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.
cos(0.1309 H) = -0.4336 tan (40o 46 minutes) I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.
cos(0.1309 H) = -0.4336 tan (40 46/60 )
cos(0.1309 H) = -0.4336 tan (40.766666667)
cos(0.1309 H) = -0.4336 * -0.074173405
cos(0.1309 H) = 0.032161588
0.1309 H = cos-1(0.032161588)
0.1309 H = 1.538629191
H = 1.538629191 / 0.1309
H = 11.754 which is no where near 15 hours, but it is what the numbers give.
I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.
The other two cities should come to something near this answer.
solve the following equation for a: -g + 3/4a = y
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
[tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]
What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1
Answer:
-6
Step-by-step explanation:
6x + y = -1
y = -6x-1
slope which is m is -6
Given parallelogram ABCD, the measure of angle C
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees
Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2
Answer:
7 + 9x
Step-by-step explanation:
add 5 and 2 and 9x doesn't have a like term so it stays the same
Answer:
9x + 7
Step-by-step explanation:
Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.
is 3.4567 irrational or rtional
Answer:
3.4567 is a rational number
Step-by-step explanation:
An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.
For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.
[tex]f (x) = \frac{2}{x-3}[/tex]
Answer:
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Step-by-step explanation:
The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.
There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.
Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
What is a reasonable estimate of -3 4/5 + (-5.25) and the actual value?
Answer:
The actual value is -181/20. Estimate could be -200/20
Step-by-step explanation:
Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2
Answer:
√10 + 2√2 + 3√5 + 6
2√2 + 2√5 + 10
Step-by-step explanation:
Given parameters:
Dimensions of the rectangle:
√2 + 3 and √5 + 2
Unknown:
Area and Perimeter of the rectangle = ?
Solution:
Area of a rectangle = L x W
Perimeter of a rectangle = 2 (L + W)
Input the parameters and solve;
Area = (√2 + 3)(√5 + 2)
= √10 + 2√2 + 3√5 + 6
Perimeter of a rectangle = 2(√2 + 3 + √5 + 2)
= 2√2 + 6 + 2√5 + 4
= 2√2 + 2√5 + 10
Which inequality is true?
Answer:
8 pi > 24 true
Step-by-step explanation:
12/pi >4
12 > 4pi
pi is slight greater than 3
12 > 4* a number greater than 3
12 > a number greater than 12 false
pi + 3 < 6
a number slightly greater than 3 + 3 < 6
a number lightly greater than 6 < 6 false
8 pi > 24
8 * a number slightly greater than 3 > 24
a number greater than 24 > 24 true
6 - pi > 3
6 - a number slightly greater than 3 > 3
a number less than 3 > 3 false
Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.
Answer:
90 minutes
Step-by-step explanation:
Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.