the roots of the function is 0, 1 and 9 (option D)
see graph below
Explanation:The given function:
\(f\mleft(x\mright)=x^3-10x^2+9x\)We need to find the root of the function. The roots are the value of x when f(x) = 0
\(\begin{gathered} 0=x^3-10x^2+9x \\ 0=x(x^2\text{ - 10x + 9)} \\ x\text{ = 0} \\ or\text{ }x^2\text{ - 10x + 9 = 0} \end{gathered}\)\(\begin{gathered} x^2\text{ - 10 x + 9 = 0} \\ x^2\text{ -9x - x + 9 = 0} \\ x(x\text{ - 9) -1(x - 9) = 0} \\ (x\text{ - 1)(x - 9) + 0} \\ x\text{ - 1 = 0 or x -9 = 0} \\ x\text{ = 1 or x = 9} \end{gathered}\)So, the roots of the function is 0, 1 and 9
These are the points the line crosses the x axis.
We need to check for the graph whose line crosses he x axis at x = 0, x = 1 and x = 9 (option D)
what is the answer to (-8) - (-1) ?
Answer:
-7
Step-by-step explanation:
the answer is -7 no bracket needed
Suppose int i = 5, which of the following can be used as an index for array double[] t=new double[100]? A. i B. I +6.5 C.1 + 10 D. Math.random() * 100 E. (int)(Math.random() * 100))
The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).
To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :
A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).
B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.
C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.
D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.
E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.
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Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?
Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.
How do you explain division?The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.
The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."
The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.
2 dozen apples equals 24, and 24 divided by 8 is 3.
Therefore, the answer is 3.
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What is the slope of the equation: x + 2y = 6
Name the property that is shown by each equation.
A. 6a + 4 = 4 + 6a
B. 30 + 60 = 15(2 + 4)
C. 3(8x + 4) = 3(4 + 8x)
D. 4(6a) = (4 · 6)a
A. Commutative property of addition
B. Distributive property
C. Commutative property of addition
D. Associative property of multiplication
The diagram shows a star made by surrounding a
regular octagon with triangles.
Explain why angle a must be 135°.
a
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
an octagon has 8 sides , then
sum = 180° × 6 = 1080°
the octagon has 8 congruent interior angles , then
a = 1080° ÷ 8 = 135°
Answer:
Step-by-step explanation:
the formula to calculate the sum of interior angles of a polygon is given by (n - 2) × 180°.
So, since the octagon has 8 sides, the sum of the interior angles will be (8 - 2) × 180° = 1080°.
1080 : 8 = 135°
who is in 6th grade or 7th?
cause I swear hrw.com is horrible
Answer college
Step-by-step explanation:
Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she worked 30 hours and got paid $285.00.
Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.
Answer:
Isabella earns $9.50 per hour. She earned $475 for the 50 hours.
Step-by-step explanation:
HELP WITH MATH TEST
Variable p is 2 less than variable d. Variable p is also 1 more than variable d. Which pair of equations best models the relationship between p and d? (5 points)
a
p = d + 2
p = d − 1
b
p = d − 2
p = d + 1
c
d = 2p
d = 2p − 1
d
d = 2p
d = 2p + 1
Answer:
b)
p = d − 2
p = d + 1
Step-by-step explanation:
From the above question:
Interpreting the statement above to form algebraic expressions, we have:
Variable p is 2 less than variable d.
Less than means to subtract in this context
p = d - 2
Variable p is also 1 more than variable d
More than means to add in this context
p = d + 1
Therefore, the pair of equations tha best models the relationship between p and d is Option b :
p = d − 2
p = d + 1
egadar amd fred share cupcakes in the ratio 3:1 if edgar gets 9 cakes how many does fred get(pleez someone anwer my question
Answer:
3
Explanation:
For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.
A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana
drink. The ticket costs d dollars. The snack costs 1.5 times the price of a ticket
The drink costs $1.25 less than the ticket.
The expression 4d + 4(1.5d) + 4(d - 1.25) represents the amount the
riends pay altogether in dollars.
Which part of the expression represents the total amount the friends
pay for snacks?
d - 1.25
1.5d
4(1.50)
4d - 1.25)
Answer:
the answer is
4(1.5d)
Step-by-step explanation:
hope it help
The expression of the total amount paid on snacks is 4(1.5d).
What is the expression?The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.
It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d
Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.
4(1.5d)
Thus, the expression for the total amount spent on snacks will be 4(1.5d).
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suppose that you and a friend are playing cards and decide to make a bet. if you draw three face cards, where a face card is a jack, a queen, or a king, in succession from a standard deck of 52 cards with replacement, you win $100 . otherwise, you pay your friend $10 . if the same bet was made 20 times, how much would you expect to win or lose? round your answer to the nearest cent, if necessary.
The amount of money that you can expect to lose approximately $194.50 over 20 bets
The probability of drawing a face card from a standard deck of 52 cards with replacement is 12/52 = 3/13. Therefore, the probability of drawing three face cards in succession is (3/13)^3 = 0.0025.
The probability of not drawing three face cards in succession is 1 - 0.0025 = 0.9975.
For each bet, the expected value of the payout is
If you win: $100 with probability 0.0025, so the expected value is 0.0025×$100 = $0.25
If you lose: -$10 with probability 0.9975, so the expected value is 0.9975×(-$10) = -$9.975
Therefore, the expected value of the payout for each bet is $0.25 - $9.975 = -$9.725.
If the same bet is made 20 times, the expected value of the total payout is 20×$(-9.725) = -$194.50.
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Which numbers have line symmetry?
2, 3, 4 7,8,9
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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Which set of numbers represents solutions of the inequality m>20?
{16, 17, 18, 19}
{17, 18, 19, 20}
{20, 21, 22, 23}
{21, 22, 23, 24}
The solution to the inequality ( m > 20 ) is {21, 22, 23, 24}
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
m > 20
And , The set of numbers that represents solutions of the inequality m > 20 is {21, 22, 23, 24}
In this set, all the numbers are greater than 20, satisfying the condition of the inequality. The other sets {16, 17, 18, 19}, {17, 18, 19, 20}, and {20, 21, 22, 23} have numbers that are either equal to or less than 20, which does not fulfill the condition m > 20
Hence , the inequality is solved
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The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
A. 6 × 10 7
B. 6 × 10 -7
C. 60 × 10 6
D. 60 × 10 -6
Answer:
Creo que su A
6x107
Answer: 6 × 10 7
Step-by-step explanation: correct.
Is it important to solve or address the problem why or why not?.
which best shows how the table can be used to determine the missing value of x
The table can be used to determine the missing value of x by examining the pattern in the data. One way to do this is to look for a relationship between the values in the table.
For example, we can see that the values in the second column are all twice the values in the first column. Similarly, the values in the third column are all three times the values in the first column.
Using this pattern, we can determine the missing value of x by multiplying the value in the first column by four. This is because the value in the fourth column should be four times the value in the first column, based on the pattern observed in the other columns.
So, to find the missing value of x, we can multiply the value in the third row of the first column, which is 7, by 4 to get 28. Therefore, the missing value of x is 28.
In general, when using a table to determine missing values, it's important to look for patterns and relationships in the data to help identify the missing value.
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A 2-column table with 5 rows. Column 1 is labeled Decimal with entries 0.1 6 repeating, 0.3 repeating, 0.5, x, 0.8 3 repeating. Column 2 is labeled Fraction with entries one-sixth, two-sixths, three-sixths, four-sixths, five-sixths.
Which best shows how the table can be used to determine the missing value x?
A) 2(two-sixths) equals four-sixths, so 2(0.5) = 1, and x = 1.
B) 4(1-sixth) equals four-sixths, so 4(0.16) = 0.64, and x = 0.64.
C) Three-sixths plus one-sixth equals four-sixths, so 0.5 + 0.16 = 0.6, and x = 0.6.
D) Five-sixths plus one-sixth equals four-sixths, so 0.83 + 0.16 = 0.99, and x = 0.99.
The sum of three numbers is 164. The second number is 3 more than twice the first number, and the third number is four times the first number. What are the three numbers
Answer:
23, 49, and 92
Step-by-step explanation:
three numbers x, y, z
x+y+z=164
y=2x+3
z=4x
we have three equations and two of them are in terms of x so we can solve for x first by plugging in the two equations to our first equation
x+2x+3+4x=164
7x+3=164
7x=161
x=23
then find y
y=2(23)+3=46+3=49
then find z
z=4(23)=92
Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
π √2 4√4 √16
(a). Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(b). Order the string sizes from least to greatest.
Answer:
Step-by-step explanation:
Which vertex in XYZ corresponds vertex b in ABC
A. vertex Z
B. vertex Y
C. vertex A
D. vertex X
please help me ASAP!!!!
here I found it online
.......ya
hope this helpa
Please answer this math question !! 20 POINTS AND BRAINLIEST!!
Answer:
3.1 ≤d≤183.1
Step-by-step explanation:
d = 4.5t + 3.1
Since this is a line, we can find the range by putting in the minimum and maximum of the domain
domain = 0≤t≤40
Let t =0
d = 0+3.1 so the minimum of the range is 3.1
Let t = 40
d = 4.5(40)+3.1
d = 183.1 so the maximum is 183.1
The range is 3.1 ≤d≤183.1
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
-5-(-2) please help
A -30
B30
C-1
D1
Answer:
Step-by-step explanation:
-3
Answer:
b
Step-by-step explanation:
when I muiltply an and divide. if there are two negatives it makes a positive an if there jus one it's a negative
an inverse relationship in which one factor increases as another factor decreases represents?
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
the phrase ""statistically significant"" is used in mr. wolf’s testimony. what are the null (h0) and alternative (ha) hypotheses in the context of that testimony?
In hypothesis testing, the null hypothesis (H0) assumes no significant difference or relationship, while the alternative hypothesis (Ha) proposes a significant difference or relationship. Statistical tests are used to determine the significance based on the p-value, with a threshold of 0.05 commonly used for rejection of the null hypothesis.
In the context of Mr. Wolf's testimony, the phrase "statistically significant" is used. The null hypothesis (H0) and alternative hypothesis (Ha) are important components in hypothesis testing to determine the statistical significance of a result.
The null hypothesis (H0) states that there is no significant difference or relationship between the variables being studied. It assumes that any observed difference or relationship is due to chance or random variation. In other words, H0 suggests that the effect or relationship being investigated does not exist in the population.
On the other hand, the alternative hypothesis (Ha) proposes that there is a significant difference or relationship between the variables being studied. Ha suggests that the observed effect or relationship is not due to chance and that it is a result of a genuine effect or relationship in the population.
To illustrate this in the context of Mr. Wolf's testimony, let's assume he is presenting data on the effectiveness of a new drug for treating a certain condition. The null hypothesis (H0) in this case could be that the new drug is not significantly different from a placebo or standard treatment in terms of its effectiveness.
The alternative hypothesis (Ha), in contrast, would propose that the new drug is indeed significantly more effective than the placebo or standard treatment.
To determine whether the null hypothesis (H0) should be rejected in favor of the alternative hypothesis (Ha), statistical tests are conducted using the available data. These tests calculate the probability of observing the data if the null hypothesis were true. If this probability, known as the p-value, is below a predetermined threshold (typically 0.05), the null hypothesis is rejected in favor of the alternative hypothesis, and the result is considered statistically significant.
In summary, the null hypothesis (H0) suggests no significant difference or relationship, while the alternative hypothesis (Ha) proposes a significant difference or relationship. Hypothesis testing is conducted to determine the statistical significance of a result.
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the distribution of bladder volumes in men is approximately normal with mean 550 milliliters (ml) and standard deviation 100 ml. in women, bladder volumes are approximately normal with mean 400 ml and standard deviation 75 ml. use the technology of your choice to answer the questions.
For men- P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826. Women- P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422
To answer this question, we can use the normal distribution formula and technology such as Excel or statistical software. For men, the distribution of bladder volumes is approximately normal with a mean of 550 ml and a standard deviation of 100 ml. We can calculate the probability of a man having a bladder volume between two values using the formula:
P(a < X < b) = Φ((b - μ) / σ) - Φ((a - μ) / σ)
where Φ is the standard normal cumulative distribution function, μ is the mean, and σ is the standard deviation.
For example, the probability of a man having a bladder volume between 450 and 650 ml is:
P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826
For women, the distribution of bladder volumes is approximately normal with a mean of 400 ml and a standard deviation of 75 ml. We can use the same formula to calculate the probability of a woman having a bladder volume between two values.
For example, the probability of a woman having a bladder volume between 325 and 475 ml is:
P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422
In conclusion, using the normal distribution formula and technology, we can calculate the probability of a person having a bladder volume within a certain range given the mean and standard deviation of bladder volumes in men and women.
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I'm pretty sure I have the right answer but can someone answer this for me ?
ANSWER
28.285 units
EXPLANATION
We are given the square EFGH and we need to find the perimeter.
The perimeter of a square is given as:
P = 4 * L
P = 4L
where L = length of the side of the square
To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.
Let us pick E(0, 5) and F(5, 0).
The distance between the two points is:
\(L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where (x1, y1) = (0, 5)
(x2, y2) = (5, 0)
Therefore, the length of the square (distance between the two points) is:
\(\begin{gathered} L\text{ = }\sqrt[]{(5-0)^2+(0-5)^2}\text{ = }\sqrt[]{5^2+(-5)^2} \\ L\text{ = }\sqrt[]{25\text{ + 25}}\text{ = }\sqrt[]{50} \\ L\text{ = 7.071 units} \end{gathered}\)Therefore, the perimeter of the square is:
P = 4 * 7.071
P = 28.284 units
Consider this quadratic equation.
2x²2²-1=3x+4
Which equation correctly applies the quadratic formula?
COA
OB.
OC.
OD.
2=
H=
H=
-(-3) ± √(-3)²-4(2)(-5)
-(-3);
2
-(-3) ± √(-3)²-4(-5)
(2)
-(-3) ± √(-3)²(2)(-5)
(2)
-(-3) ± √(-3)²-4(2)(-5)
2(2)
Answer:
-(-3) ± √(-3)^2 - 4(2)(-5) / 2(2) (the last choice).
Step-by-step explanation:
Im ignoring the 2^2 in the equation
The equation transforms to
2x^2 - 3x - 5 = 0 (standard form)
So x = -(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)