Answer:
16x^3-9x^2+4x-4
i just need help, *uploaded again*
Answer:
Your answer for the first one is B
Step-by-step explanation:
Suppose a jar contains r red balls and b blue balls, each with a unique identifier on it. How many ways are there to choose a set of two balls of the same color? Of different colors? Show that the sum of these two numbers is the number of ways of choosing two balls from the total, ignoring color.
Answer:
Ways to choose a set two balls of the same color:
[0.5 * (b) * (b - 1)] + [0.5* (r) * (r - 1)]
Different colors:
0.5 * [(b) * (r) + (r) * (b)] = 0.5 * (2 * b * r)
= b * r
Any two balls
0.5 * (b + r) * (b + r - 1)
= 0.5 * [b * (b + r - 1) + r * (b + r - 1)]
= 0.5 * [b^2 + b * r - b + b * r + r^2 - r]
= 0.5 * [b^2 - b + r^2 - r + b * r + b * r]
= 0.5 * [b * (b - 1) + r * (r - 1) + 2 * b * r]
= 0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1)) + 0.5 * (2 * b * r)
= [0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1))] + [b * r]
= Number of ways of choosing two balls of the same color + number of ways of choosing two balls with different colors
Step-by-step explanation:
Rachel participated in a 12-kilometer walkathon to raise money for her favorite charity. If it took her 2.5 hours to complete it, what was the rate in kilometers per hour?
Step-by-step explanation:
here they gave 12 km are reached by 2.5 hours so we. should how much time they took for 1km
12/ 2.5 which is also 150min
12km which is also 12000
12000/150= 80m
it took 80m in 1min so
1hr = 60min
1hr x 80m
60x80
4800
convert it intlo km
4800/1000
4.8km
so it took 4.8 km for 1hour
The time to complete the race is 2.5 hours, then the rate will be equal to 4.8 kilometers per hour.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total distance = 12 kilometers
Total time taken to complete 12 kilometers = 2.5 hours
Then, the rate in kilometers per hour will be,
= 12/2.5
= 4.8 kilometers per hour.
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Randy ran 13/4 miles on Monday and 2 2/4 miles on Tuesday. How far did
Randy run on both days?
Answer:
The answer is 5 3/4
Step-by-step explanation:
13/4 = 3 1/4
3 1/4 + 2 2/4 = 5 3/4
Hope this helped you!
i will mark brainlist !!!!!!!!
Answer:
f(n)=4*2^(n-1)
f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4
PLEASE HELP!!
If you draw a triangle with these measurements, which kind of triangle would it be?
Angles Sides
40∘ 4 cm
50∘ 7 cm
90∘ 8 cm
Step-by-step explanation:
I think it should be right angle
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles
Answer:
Step-by-step explanation:
2miles
The required shortest between the two houses is given as 10 miles. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.
Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.
Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,
x = √[8² + 6²]
x = √[100]
x = 10 miles
Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.
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List the next three terms in the following sequence 1,2,4,7,11,16
Answer:
22,29,37
Step-by-step:
1,2,4,7,11,16,22,29,37
+1+2+3+4+5+6+7+8...
Answer:
22,29,37
Step-by-step explanation:
Solve this inequality (show your work), then graph the solution of the inequality.
-4(x-1)<12
Answer:
x >-2
Step-by-step explanation:
-4(x-1)<12
Divide each side by -4, remembering to flip the inequality
-4/-4(x-1)<12/-4
x-1 > -3
Add 1 to each side
x-1+1 > -3+1
x >-2
open circle at -2
line extending to the right
hmark 1 - Item 205023
Erin received the following scores on her last four spelling tests.
23, 82%, 0.8,
17
20
Which of these is Erin's highest score?
Answer:
82% is her highest score
Step-by-step explanation:
82 is greater than 23, 80, 17 and 20
16. If m angle 3=74°, find each measure.
17. If m angle 2=125°, m angle 12=37°, and m angle 18=102°, find the measure of each missing angle.
Answer: Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
Step-by-step explanation:
Answer:
Step-by-step explanation:
Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .
Answer:
7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.
Step-by-step explanation:
These are the two conditions required for performing a t test
- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.
- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.
- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.
While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.
please help i suck at math and I am in class
Answer:84.84m^2
Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.
Step-by-step explanation:
This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.
Consider the polynomial function ( x + 3 ) ( x + 9 ) ( x - 6 ) = 0 Which of the following are zeros of the function? Select all that apply.
If f'(x) has a minimum value at x = c, then the graph of f(x) has a point of inflection at X = C. True False
The statement "If f'(x) has a minimum value at x = c, then the graph of f(x) has a point of inflection at x = c" is false.
A point of inflection occurs on the graph of a function when the concavity changes. It is a point where the second derivative of the function changes sign. However, the existence of a minimum value for the derivative of a function at a particular point does not necessarily imply a change in a concavity at that point.
For example, consider the function f(x) = x³. The derivative f'(x) = 3x² has a minimum value of 0 at x = 0, but the graph of f(x) does not have a point of inflection at x = 0. In fact, the graph of f(x) is concave up for all values of x, indicating that there is no change in concavity and no point of inflection.
Therefore, the presence of a minimum value for the derivative does not guarantee the existence of a point of inflection on the graph of the original function. Hence, the statement is false.
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can someone write me the equation please???
What is the value of the expression:
4 + 2 x 5 to the second power
150
60
54
24
Answer:
54 hope it helped you out
A chemist is raising the temperature of a liquid. The temperature is now -8.4 degrees Celsius and is increasing by 1.4 degrees Celsius per minute. How many minutes will it take for the temperature to reach 0 degrees Celsius?
Answer:
it will take 6 minutes, just keep adding 1.4 to -8.4 until you reach 0
Step-by-step explanation:
Answer: It will take 6 minutes because all you need is to divide 8.4 and 1.4 (don't put the negative sign or ignore it)!
g Based on information gathered in previous semesters, I know that the population mean for this exam is 24 with a standard deviation of 2.29. What would be the alpha level and would this be a one- or two-tailed test
According to the given data Likewise, alpha is also determined based on the type of test, the confidence interval required, and the critical value. Therefore, without this additional information, it is not possible to determine alpha and the type of test.
Population mean = 24
Standard deviation = 2.29
The type of test (one-tailed or two-tailed) cannot be determined from the given information. Further, the alpha level also cannot be determined from the given information. This is some additional information we need to know while conducting hypothesis testing. The hypothesis testing procedure depends upon the nature of the problem, and accordingly, the type of test is decided. If the problem statement is such that the researchers are concerned about the difference between two groups or two measurements, a two-tailed test is done. If the problem statement is such that the researchers are concerned about the difference in a single direction only, that is a one-tailed test.
Likewise, alpha is also determined based on the type of test, the confidence interval required, and the critical value. Therefore, without this additional information, it is not possible to determine alpha and the type of test.
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Find JM JM=12 JM=10 JM =24 JM=5
Answer:
12
Step-by-step explanation:
Find the value of x and the length of BC.
What is the slope of the line whose equation is 2y=3x +4
solve for y
y = 1.5x + 2
notice this is in form y = mx + b
m is slope, b is y intercept
m = 1.5
slope is 1.5
hope this helps :)
jeron
Will give brainlist.....
Answer:
D
Step-by-step explanation:
There are 7 letters in the word 'ALGEBRA'.
So the probability of picking any letter, in the beginning, is 1/7.
So the probability of picking any of the 'A's at the start is 2/7.
However for the second time, there'll only be 6 letters left and 1 A so the probability of getting the second A would be 1/6.
To find the combined probability, multiply these fractions together so:
\(\frac{2}{7}\) times \(\frac{1}{6}\)= \(\frac{2}{42} = \frac{1}{21}\).
So the answer to the question would be D: 1 in 21.
Answer:
D) 1 in 21
Step-by-step explanation:
The first draw:
\(\frac{2 (A's)}{7 (letters)} =2/7\)
The second draw (no replace):
\(\frac{1(A's)}{6(letters)} =1/6\)
The probability:
\(P=(\frac{2}{7})(\frac{1}{6} ) =\frac{(2)(1)}{(7)(6)} =\frac{2}{42}\)
simplified:
\(P=\frac{1}{21}\)
Hope this helps
let f(x)=x+3 and g(x)=6x+4. find f(x)+g(x), g(x)-f(x), and g(f(x)).
I hope this helps you...
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards
4 yd.
3yd.
Answer:
5yds
Step-by-step explanation:
\(a^{2} +b^{2} =c^{2}\)
\(4^{2} +3^{2} =c^{2}\)
16+9=\(c^{2}\)
25 = \(c^{2}\)
\(\sqrt{25\) = c
5= c
5 yds
Decrease £180 by 25%
Answer:
the answer is 135 pounds
Answer:
180 - 25% = 135
Hope this helps
What is the common difference of the given arithmetic sequence: -20, -9, 2, 13, 24,
35, ...?
The common difference of the given arithmetic sequence is 11. "d" is the common difference.
arithmetic sequence -
The difference between any two successive numbers in this ordered series of numbers is always the same.
AP = a₁ + a₂ + a₃ ...........\(a_{n}\)
AP = a + ad + a2d...........a(n-1)d
where
a= first term
d = the common difference
\(a_{n}\) = last term
given AP is
-20, -9, 2, 13, 24,35, ......
a₁ = -20
a₂ = -9
a₃ = 2
d = a₂ - a₁
d = -9 - (-20)
d = -9 + 20
d = 11
Similarly,
d = a₃ - a₂
d = 2 - (-9)
d = 2 + 9
d = 11
The common difference of the given arithmetic sequence is 11. "d" is the common difference.
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What is the slope of the line that contains these points?
�
xx
9
99
13
1313
17
1717
21
2121
�
yy
−
24
−24minus, 24
−
21
−21minus, 21
−
18
−18minus, 18
−
15
−15
The slope of the line that contains these points is 0.75.
The slope of a line is the change in y-values divided by the change in x-values. In other words, it is the rise over the run. We can use the points given to calculate the slope.
Let's take the first two points (9, -24) and (13, -21) and use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
slope = (-21 - (-24)) / (13 - 9)
slope = (3) / (4)
slope = 0.75
We can do the same with the other two points (17, -18) and (21, -15):
slope = (-15 - (-18)) / (21 - 17)
slope = (3) / (4)
slope = 0.75
Since the slope is the same for both sets of points, we can conclude that the slope of the line that contains these points is 0.75.
The slope of the line that contains these points is 0.75.
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how much does amber charge per cookie delivery if 2 cookies cost $15, 4 cookies cost $22, and 6 cookies cost $29
The cost per cookie would be $7.50.
What is multiplication?
Multiplication is a mathematical operation used to find the product of two or more numbers. In simple terms, it is the repeated addition of a number a certain number of times. For example, the expression "3 times 4" can be written as 3 x 4, and it means 3 added to itself 4 times, or 3 + 3 + 3 + 3 = 12. The symbol "x" is used to represent multiplication, and the result of multiplying two numbers is called a product.
To determine the cost per cookie, we can use the information given to set up a system of equations. Let x be the cost per cookie. Then the cost of 2 cookies is 2x and the cost of 4 cookies is 4x. The cost of 6 cookies is 6x.
From the first piece of information, we have:
2x = $15
Dividing both sides by 2, we find:
x = $7.50
So the cost per cookie is $7.50. We can check this by plugging it back into the equations for the cost of 4 and 6 cookies to make sure they match the given information:
4x = 4 * $7.50 = $30
6x = 6 * $7.50 = $45
Since these match the given information, we can conclude that the cost per cookie is $7.50.
Hence, the cost per cookie would be $7.50.
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A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar.
From this sugar mixture, set aside 1/4 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?
A.) 17/24
B.) 11/24
C.) 1/2
D.) 7/12
Answer:
C) 1/2
Step-by-step explanation:
We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.
From this sugar mixture, 1/4 cup is set aside for the crumb topping.
To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.
We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)
3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.
1/4 cup is set aside for the crumb topping.
So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup