long division help on 2,3, and 5 they are all lay out how they suppose to i jus need help
The quotients of the long division expressions are 6x^2 + 2x - 6, 7x^3 - 4x^2 + 6x + 10 and 7x^3 + x^2 - 5x - 8
Evaluating the long division expressionsPolynomial set up 2
The long division expression is represented as
x + 5 | 6x^3 + 32x^2 + 4x - 21
So, we have the following division process
6x^2 + 2x - 6
x + 5 | 6x^3 + 32x^2 + 4x - 21
6x^3 + 30x^2
--------------------------------
2x^2 + 4x - 21
2x^2 + 10x
-------------------------------------
-6x - 21
-6x - 30
------------------------------------------
9
Polynomial set up 3
The long division expression is represented as
2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29
So, we have the following division process
7x^3 - 4x^2 + 6x + 10
2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29
14x^4 - 21x^3
--------------------------------
-8x^3 + 24x^2 + 2x - 29
-8x^3 + 12x^2
-------------------------------------
12x^2 + 2x - 29
12x^2 - 18x
------------------------------------------
20x - 29
20x - 30
------------------------------------------
1
Polynomial set up 5
The long division expression is represented as
2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8
So, we have the following division process
7x^3 + x^2 - 5x - 8
2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8
14x^4 - 7x^3
--------------------------------
2x^3 - 11x^2 - 11x + 8
2x^3 - x^2
-------------------------------------
-10x^2 - 11x + 8
-10x^2 + 5x
------------------------------------------
-16x + 8
-16x + 8
------------------------------------------
0
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A line segment has an endpoint at (-1, -7). If the midpoint of the line segment is (3, -3), what
are the coordinates of the point at the other end of the line segment?
Retchen made a paper cone to hold a gift for a friend. The paper cone was 12 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3. 14 for π. The volume of the paper cone is about
Use the graph shown to fill in the blank
When x= 1, then y=
Answer:
y=-2
Step-by-step explanation:
Please help me with these questions please.
Answer:
see image
Step-by-step explanation:
Jessica opened a savings account with $40.00.
She is going to add $20 per week over the twelve weeks of summer. She will close the account when the summer is over.
Which expression would be an appropriate domain for this situation?
Check the picture below.
so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?
well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].
Use f to find the probability that at most three grafts fail; that at least two grafts fail
The probability that at most three grafts fail is 0.98 and the probability that at least two grafts fail is 0.1.
To find the probability that at most three grafts fail, we need to find the sum of the probabilities for x = 0, 1, 2, and 3.
Using the given values of f(x), we get:
P(X <= 3) = f(0) + f(1) + f(2) + f(3)
= 0.7 + 0.2 + 0.05 + 0.03
= 0.98
So the probability that at most three grafts fail is 0.98.
To find the probability that at least two grafts fail, we need to find the sum of the probabilities for x = 2, 3, and 4 and subtract it from 1.
Using the given values of f(x), we get:
P(X >= 2) = 1 - (f(0) + f(1)) = 1 - (0.7 + 0.2) = 0.1
So the probability that at least two grafts fail is 0.1
--The question is incomplete, answering to the question below--
"Grafting the uniting of the stem of one plant with the stem or root of another; is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with hardy root system: Most Florida sweet oranges grow on trees grafted to the root of sour orange variety. The density for X, the number of 'grafts that fail in series of five trials.
For the values of x = 0, 1, 2, 3, and 4 value of f(x) is 0.7, 0.2, 0.05, 0.03, and 0.01 respectively.
Use f(x) to find the probability that at most three grafts fail; that at least two grafts fail."
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helpppppppppp it’s multiple choice questions I’ll brainlist!
Answer:#1 is D
Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141
1ll mark brainlist pleassee help
Answer:
cat
Step-by-step explanation:
f(x) = 4x2 + 5.0 - 3g(x) = 4.3 - 3x2 + 5Find (f +9)(x).O A. (f +g)(x) = 4x3 + x2 + 5x + 2O B. (f +g)(x) = 4x3 + 4x2 + 2x + 2O c. (f+g)(x) = 8x3 + 2x + 2O D. (f +g)(x) = -4x3 + 7x2 + 53 - 8SUBMIT
ANSWER
A. (f + g)(x) = 4x³ + x² + 5x + 2
EXPLANATION
To add this functions we have to combine and add like terms:
\(\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=4x^2+5x-3+4x^3-3x^2+5 \\ (f+g)(x)=(4-3)x^2+5x+4x^3+(5-3) \\ (f+g)(x)=x^2+5x+4x^3+2 \\ \text{ordering the terms} \\ (f+g)(x)=4x^3+x^2+5x+2 \end{gathered}\)Apples cost $2 per pound. Write an equation to represent how many pounds of apples you can buy for $20
Answer:
10
Step-by-step explanation:
20/2=10
Answer:
10
Step-by-step explanation:
20÷2=10
twenty divided by two is ten
Consider the probability distribution of the random variable X
X P(X)
0 0.1
1 0.2
2 0.3
3 ?
a. Find the missing (?) probability value
b. Find E(X).
c. Find Var(X) and x.
d. If Z = 1 + 2/3X, find E(Z), Var(Z) and z.
a. The missing probability value is 0.4.
b. E(X) = 1.4.
c. Var(X) = 0.56 and σx = 0.75.
d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.
The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.
To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.
To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.
Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.
To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.
Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.
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a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values
To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).
We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:
IQR = Q3 - Q1 = 17 - 9 = 8
To identify outliers, we can use the following rule:
- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, we can evaluate each data point:
A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).
C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.
D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
Therefore, the outliers in the data set are A (27) and D (41).
As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.
Therefore, the correct option would be B. When the data is symmetric.
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Kate wants to buy a TV that has a price of $450. Kate decides to start saving after
her birthday. Kate makes an initial deposit of $50 to her savings account to pay for
the TV and then will save for the TV in equal payments for X amount of months.
After the initial deposit, Kate saves at a rate of $15 each month.
If the output (y) is the total amount that Kate needs to buy the TV and (x) is the
months that Kate is saving for the TV EXPLAIN how you would figure out how many
months it will take Kate to save for the TV for the given situation.
Answer:
450 = (15·x) -50
Step-by-step explanation:
You know that the TV cost $450
She already have $50
you know she saves $15/month
The price of an article is marked 25% above the cost price. If it is sold
at the profit of Rs 500 after allowing 15% discount what will be its
selling price?
(Ans: 10170)
Answer: 1250
Step-by-step explanation:
1) The price of an article is marked 25% above the cost price.
SP = CP x 1.25
2) If it is sold at the profit of Rs 500 after allowing 15% discount
SP = CP x 0.85 + 500
SP = 0.85CP + 500
1.25CP = 0.85CP + 500
1.25CP - 0.85CP = 500
0.40CP = 500
CP = 500 / 0.4 = 1250
Answer:
Rs 8500solution,
Let C.P of article be X
\(mp = x + \frac{25}{100} \times x \\ \: \: \: \: = x + \frac{25x}{100} \\ = \frac{x \times 100 + 25x}{100} \\ = \frac{100x + 25x}{100} \\ = \frac{125x}{100} \\ sp = mp - \frac{15}{100} \times \frac{125x}{100} \\ \: \: \: \: = \frac{125x}{100} - \frac{15x}{80} \\ \: \: \: \: = \frac{125 x\times 4 - 15x \times 5}{400} \\ \: \: \: \: \: = \frac{500x - 75x}{400} \\ \: \: \: \: \: \: = \frac{425x}{400} \\ profit = sp - cp \\ or \: 500 = \frac{425x}{400} - x \\ or \: 500 = \frac{425x - x \times 400}{400} \\ or \: 500 = \frac{425x - 400x}{400} \\ or \: 500 = \frac{25x}{400} \\ or \: 25x = 200000 \\ or \: x = \frac{200000}{25} \\ x = 8000 \\ again \\ \: selling \: price = \frac{425x}{400} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{425 \times 8000}{400} \\ \: \: \: \: \: \: = \frac{3400000}{400} \\ \: \: \: \: \: \: = 8500\)
hope this helps....
Good luck on your assignment...
Please help asap! BAC~DEC x=___ units?
Answer:
x = 3 units
Step-by-step explanation:
These two triangles are similar figures, which means the ratio of the lengths of their corresponding sides are equal:
\(\frac{Side AB}{Side AC} = \frac{Side DE}{Side CE}\)
= \(\frac{24}{2x} = \frac{56}{3x + 5}\)
Cross-multiplication is applied:
= \((24)(3x + 5) = (56)(2x)\)
Parenthesis are expanded by using the Distributive Law:
= \(72x + 120 = 112x\)
Bring all the like terms together and then isolate x:
= \(120 = 112x - 72x\)
= \(120 = 40x\)
= x = \(\frac{120}{40}\)
∴ x = 3 units
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
The probability of getting 2 red marbles will be 0.298.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
In this case, there is a bag filled with 5 blue and 6 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced.
The probability of getting 2 reds will be;
= 6/11 × 6/11
= 0.298
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Damon bought a girl he likes chocolate for valentines day. After tax they cost $13.60. If tax was 8.5%, what was the cost of the chocolate before tax?
Answer:
$12.53
Step-by-step explanation:
13.60 / 1.085 = 12.53
Answer:
13.50×8.5%=1.1475
13.50
-1.60=
CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
please give brainliest!
Answer two questions about the following table. Mandy earns money based on how many hours she works. The following table shows Mandy's earnings. Hours
1
11
2
22
3
33
Earnings
$
10
$10dollar sign, 10
$
20
$20dollar sign, 20
$
30
$30dollar sign, 30
Plot the ordered pairs from the table. 1
1
2
2
3
3
4
4
5
5
6
6
5
5
10
10
15
15
20
20
25
25
30
30
35
35
40
40
45
45
50
50
Earnings
Earnings
Hours
Hours
Answer:
Yes
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior of 65. Find the value of x.
Check the picture below.
A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable
The percent of the variance in the dependent variable unexplained by the independent variable is 81%
What does correlation coefficient mean?A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.
9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.
The correlation coefficient is therefore represented as follows:
\(r = 0.3\)
The explained variance is found using the following formula:
\(R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9\)
Thus, 81% of the variance remains unexplained by variations in the independent variable.
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Directions: Based on the information given in the following problem, compute the gross pay.
Annual pay: $22,200. Calculate monthly pay.
gross pay: $
per month
The gross monthly pay for the given service is $1850
What is monthly pay?Monthly pay means the wages paid by an employer to an employee for the whole or part of the month during which the employee is employed by the employer.
Given that, the annual pay of some service is $22200, we need to calculate the monthly pay of same,
Therefore,
To find, monthly pay, we will divide annual pay by 12, because there are 12 months in a year,
Monthly pay = annual pay / 12
= 22200 / 12
= 1850
Hence, the gross monthly pay is $1850.
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Find the length segment AB if A(-1,7) and B(11,-1) (Round to 1 decimal place)
Task 9: Cookie Jar Problem There was a jar of cookies on the table. Latoya was hungry because she hadn't had breakfast, so she took half of the cookies. Then Mark came along and noticed the cookies. He thought they looked good, so he ate a third of what was left in the jar. Kandi came by and decided to take a fourth of the remaining cookies with her to her next class. Then Shannon came dashing up and took a cookie to munch on. When Michelle looked at the cookie jar, she saw that there were two cookies left. "How many cookies were there in the jar, to begin with?" she asked Kira.
Extension: If there were 2/3 of a cookie left over, how many cookies were there before Latoya came?
Can you please explain the work too, please!
The number of cookies in the jar initially was 42
To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.
We can use this information to set up the equation:
x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.
By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.
So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.
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Consider a reservoir with a volume of 8 billion cubic feet (ft3) and an initial pollutant concentration of 0.25%. There is a daily inflow of 500 million ft3 of water with a pollutant concentration of 0.05% and an equal daily outflow of the well-mixed water in the reservoir.
Required:
How long will it take to reduce the pollutant concentration in the reservoir to 0.10%?
It will take approximately 16 days to reduce the pollutant concentration in the reservoir from 0.25% to 0.10%.
To determine the time it takes to reduce the pollutant concentration in the reservoir, we need to consider the daily inflow and outflow of water. The reservoir has an initial volume of 8 billion ft3 with a pollutant concentration of 0.25%.
Each day, there is an inflow of 500 million ft3 of water with a pollutant concentration of 0.05% and an equal daily outflow. This means that 500 million ft3 of water with a pollutant concentration of 0.05% is leaving the reservoir each day.
To calculate the time it takes to reduce the pollutant concentration to 0.10%, we need to determine the total volume of water with a pollutant concentration of 0.05% that needs to leave the reservoir. The difference between the initial pollutant concentration (0.25%) and the desired concentration (0.10%) is 0.15%.
Since the outflow is equal to the inflow, the daily outflow of water with a pollutant concentration of 0.05% is 500 million ft3. It will take approximately (0.15 / 0.05) * 16 = 3 * 16 = 48 days to remove all the water with a pollutant concentration of 0.05%. Therefore, it will take approximately 16 days to reduce the pollutant concentration in the reservoir to 0.10%.
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Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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Please answer this as soon as you can : Evaluate 5/18 + 5/6
Answer:
1 1/9
Step-by-step explanation:
5/18 + 5/6
Get a common denominator of 18
5/18 + 5/6 *3/3
5/18 + 15/18
20/18
18/18 + 2/18
1 1/9
the reading on the thermometer reads 10°C and the temperature rises 30°C what will the new reading be
Answer:
40c
Step-by-step explanation:
it starts at 10c and goes up 30c you can just add 30 to 10 to get 40
The solution is, 40°C will be the new reading.
What is addition?
Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
the reading on the thermometer reads 10°C
and the temperature rises 30°C
now, we have to add the temperature ,
so, the new reading will be,
30+10
=40°C
Hence, The solution is, 40°C will be the new reading.
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1.
A trebuchet launches a pumpkin on a parabolic arc from a height of 47 ft at a velocity of 40 ft/s which gives the
following function equation h(t)= -16t^2 + 40t + 47. State the vocabulary term that is being described by the
following questions. Do not solve for any of the key features. questions a b c and d
a. When will the pumpkin reach the ground?
The pumpkin will reach the ground at
b. What is the maximum height the pumpkin reaches?
C. When does the pumpkin reach its maximum height?
d. What is the starting height of the pumpkin?
Answer:
a) 3.37 seconds
b) 75.85 feet
c) 1.25 seconds
d) 47 feet
Step-by-step explanation:
a) I could use kinematic equations here, but I'll use the one provided. Height as a function of time equals 0 when the pumpkin reaches the ground, so 0=(-16t^2)+40t+47 is your equation here. Solve for t. t=3.37
b) If you have a graphing calculator, just use maximum feature. If not, use the formula x=-b/2a. x=-40/-32, x=1.25.
Now, plug 1.25 in as t, and you'll get y=75.85ft
c) alreaady found in previous part
d) this is the constant in the formula, or the y-intercept, which is 47 (because there's no variable attached).