Answer:
Step-by-step explanation:
Take the square root of both sides to get rid of the exponent:
x = sqrt(64) which a perfect square of just 8
It was 12°C one person got home from school. The weather for port show me a story moving in the world drop the temperature by 70 Celsius. What is the expected temperature?
Answer:
Expected temperature = - 58°C
Step-by-step explanation:
Given:
Current temperature = 12°C
Drop in temperature = 70°C
Find:
Expected temperature
Computation:
Expected temperature = Current temperature - Drop in temperature
Expected temperature = 12°C - 70°C
Expected temperature = - 58°C
This is my mom's phone number i 361 906 5457 call her so she can wake up bc I have a performance soon and I know she won't hear her alarm
plz call her or I won't be able to go thnx
Answer:
ok
Step-by-step explanation:
let me do it for you lol
Answer:
ok?!?!?!?!?!?!?!?!?!?!?!?
what is the probability that the total weight for the two animals is 225 pounds or more? responses 0.081 0.020 0.195 0.851
Probability that the total weight for the two animals is 225 pounds or more is 0.17.
How to find the probability that the total weight for the two animals?We need to use the joint probability distribution for X and Y, where X and Y are the weights of the first and second animals, respectively. Let's denote the joint probability distribution as P(X=x, Y=y).
From the table given, we can see that the possible values of X and Y are 100, 120, and 140 pounds. To find the probability that the total weight is 225 pounds or more, we need to sum the joint probabilities for all pairs of (X,Y) that satisfy X+Y≥225.
These pairs are:
(120, 120)(100, 120)(120, 100)(100, 140)(140, 100)(120, 140)(140, 120)(140, 140)So, we have:
P(X+Y≥225) = P(X=120, Y=120) + P(X=100, Y=120) + P(X=120, Y=100) + P(X=100, Y=140) + P(X=140, Y=100) + P(X=120, Y=140) + P(X=140, Y=120) + P(X=140, Y=140)
Substituting the values from the table, we get:
P(X+Y≥225) = 0.04 + 0.03 + 0.03 + 0.01 + 0.01 + 0.02 + 0.02 + 0.01
P(X+Y≥225) = 0.17
Therefore, the probability that the total weight for the two animals is 225 pounds or more is 0.17.
So the response closest to 0.17 is 0.195.
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let be a square matrix with orthonormal columns. explain why is invertible. what is the inverse?
The inverse of the matrix with orthonormal columns is simply its transpose.
If a square matrix has orthonormal columns, it means that the dot product of any two columns is zero, except when the two columns are the same, in which case the dot product is 1. This implies that the columns are linearly independent, because if any linear combination of the columns were zero, then the dot product of that combination with any other column would also be zero, which would imply that the coefficients of the linear combination are zero.
Since the matrix has linearly independent columns, it follows that the matrix is invertible. The inverse of the matrix is simply the transpose of the matrix, since the columns are orthonormal. To see why, consider the product of the matrix with its transpose:
\((A^T)A = [a_1^T; a_2^T; ...; a_n^T][a_1, a_2, ..., a_n]\\ = [a_1^T a_1, a_1^T a_2, ..., a_1^T a_n; \\ a_2^T a_1, a_2^T a_2, ..., a_2^T a_n; ... a_n^T a_1, a_n^T a_2, ..., a_n^T a_n]\)
Since the columns of the matrix are orthonormal, the dot product of any two distinct columns is zero, and the dot product of a column with itself is 1. Therefore, the diagonal entries of the product matrix are all 1, and the off-diagonal entries are all zero. This implies that the product matrix is the identity matrix, and so:
(A^T)A = I
Taking the inverse of both sides, we get:
\(A^T(A^-1) = I^-1(A^-1) = A^T\)
Therefore, the inverse of the matrix with orthonormal columns is simply its transpose.
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geometry, god bless ur help!
Answer:
15 CM
Step-by-step explanation:
Both sides are same length proven by the same angles making botrh sides 15 cm
Determine whether each statement is true or false, HELP
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
Solve the equation in standard form
The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.
To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:
-5/3 x² + 3x + 11 = -9 + 25/3 x²
First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:
-5x² + 9x + 33 = -27 + 25x²
Next, let's combine like terms:
-5x² - 25x² + 9x + 33 = -27
-30x² + 9x + 33 = -27
Now, let's bring all the terms to one side to have a quadratic equation equal to zero:
-30x² + 9x + 33 + 27 = 0
-30x² + 9x + 60 = 0
Finally, we have the quadratic equation in standard form:
-30x² + 9x + 60 = 0
Dividing each term by 3, we get:
-10x² + 3x + 20 = 0
(-2x + 5)(5x + 4) = -10x² + 3x + 20
So, the factored form of the equation -30x² + 9x + 60 = 0 is:
(-2x + 5)(5x + 4) = 0
Now we can set each factor equal to zero and solve for x:
-2x + 5 = 0 --> x = 5/2
5x + 4 = 0 --> x = -4/5
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Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2. 37 and a 6-pack of juice bottles. The total cost before tax was $15. 45. How much was each bottle of juice?
Answer:
2.18 cents is your answer
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
34
Step-by-step explanation:
if you add 90+56 you get 146 and then 180-146=34
Answer:
a = 34°
Step-by-step explanation:
1. We know that the straight line is a straight angle (180°), and the right angle is worth 90°.
2. This means that a + 90 + 56 = 180.
3. (Solving equation above).
Step 1: Simplify both sides of the equation.
\((a)+(90+56)=180\) \(a + 146 = 180\)Step 2: Subtract 146 from both sides.
\(a+146 - 146 = 180 - 146\) \(a = 34\)Step 3: Check if solution is correct.
\((34) + 90 + 56 = 180\) \(124 + 56 = 180\) \(180 = 180\)Therefore, a = 34°.
 can someone pls help for brainlest
Answer:
\(surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters\)
please HELP!!! GUYS
the homework is due tom
Answer:
A(-4.5;2) B(0;-3.5).......
2x^3y + 18xy - 10x^2y - 90y
Part A: rewrite the expression so that the GCF is factored completely
Part B: rewrite the expression completely factored. Show the steps of your work
___________________________
Part A: the area of a square is (9x^2 + 24x + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: the area of a rectangle is (16x^2 - 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
___________________________
f(x) = 2x^2 - 5x + 3
Part A: what are the x-intercepts of the graph of f(x)? Show your work
Part B: is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answer and show your work.
Part C: what are the steps you would use to graph f(x)? Justify that you can use the answer in part A and part B to draw the graph.
The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
The expression completely factored in is
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
Please refer below for the remaining answers.
We have,
Part A:
To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.
GCF: 2y
\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
Part B:
To completely factor the expression, we can further factor the quadratic term.
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
Now,
Part A:
To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.
The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².
Therefore, the length of each side of the square is 3x + 4.
Part B:
To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.
The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).
Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).
Now,
f(x) = 2x² - 5x + 3
Part A:
To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x² - 5x + 3 = 0
The quadratic equation can be factored as (2x - 1)(x - 3) = 0.
Setting each factor equal to zero:
2x - 1 = 0 --> x = 1/2
x - 3 = 0 --> x = 3
Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.
Part B:
To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.
The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.
To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
For f(x),
a = 2 and b = -5.
x = -(-5) / (2 x 2) = 5/4
To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):
f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8
Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.
Part C:
To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.
These points represent where the graph intersects the x-axis.
Next,
We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.
Since the coefficient of the x² term is positive, the parabola opens upward.
We can use the vertex and the symmetry of the parabola to draw the rest of the graph.
The parabola will be symmetric with respect to the line x = 5/4.
We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.
By connecting the plotted points, we can draw the graph of f(x).
The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.
The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.
Thus,
The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
The expression completely factored in is
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
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Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power
Answer:I think it’s 7x^3
Step-by-step explanation:
Can someone please help me? 3t + 7 = -8
Answer:
Step-by-step explanation:
Look at 3%2At%2B7=%28+-8+%29.
Moved these terms to the left %28 +8+ %29
It becomes 3%2At%2B7%2B _green%28+8+%29=0.
Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.
Added fractions or integers together
It becomes 3%2At% 2B % 28+15+%29=0.
Look at highlight_red%28+3%2At%2B15+%29=0.
Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=-5.
Answer: t= -1/3
Step-by-step explanation:
3t+7=-8
subtract 7 from 7 and 8 (this cancels out the 7)
left with 3t = -1
divide 3 into 3t and -1
the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3
Area of a solid box in the shape of a cube with side length 9cm
Answer:
486
Step-by-step explanation:
area of a cube =6x²
length= 9
area=6×9²
=6×81
=486
when training a classifier, it is common to split the available data into a training set, a hold-out set, and a test set, each of which has a different role. which data set is used to learn the conditional probabilities?
When training a classifier, the training set is used to learn the conditional probabilities.
The training set is used to learn the conditional probabilities because the training set is used to train the classifier on the patterns and features in the data, which in turn helps the classifier to learn the conditional probabilities of the different classes in the data.
The hold-out set and test set are used to evaluate the performance of the classifier and ensure that it is not overfitting to the training set.
By evaluating the classifier on data that it has not seen before, we can get a more accurate estimate of its true performance and the probability of correctly classifying new data.
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compare and explain how they are different (image above)
Answer:
12.1 is infinite and 144 is divided
Step-by-step explanation:
The complement of an event A, denoted by AC, within the sample space S, is the event consisting of all outcomes of A that are not in S. (true/false)
False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.
In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.
The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.
For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.
It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.
So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.
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Why are equivalent equations important when solving a system using linear combination?
Answer:
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Answer: Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Step-by-step explanation:
How do i solve this?
(f - g)(x) = f(x) - g(x)
… = (3x² - 4) - (4x + 1)
… = 3x² - 4x - 5
You may need to use the appropriate appendix table to answer this question.
Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)
(a)
P(−1.98 ≤ z ≤ 0.45)
(b)
P(0.52 ≤ z ≤ 1.22)
(c)
P(−1.55 ≤ z ≤ −1.02)
To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.
What is the probability P(−1.98 ≤ z ≤ 0.45)?To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.
First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.
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As monte carlo simulation is essentially statistical sampling, the larger the number of trials used, the more precise is the result.
a. True
b. False
True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.
Step by Step Explanation:
Monte Carlo simulation is a mathematical technique or statistical sampling which is used to predict all possible outcomes of any uncertain event.The larger the number of trials more is the accuracy as it is based on the past data to predict the future outcomes.example : For the prediction of first month sale of any new launch product you can revise more number of old data.It help to calculate probability more accurately.Therefore, it is true to have more number of trials in Monte Carlo simulation statistical sampling for precise result.
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Tina and Annette are planning to go to New York for four days. The travel options are shown below. Which travel option has the best rate?
Option A: $200 per night, $250 flight
B: $300 per night, $200 flight
C: $150 per night, $500 flight
Answer:
option A
Step-by-step explanation:
Option A is 1,050 in total
option B is 1,400 in total
option C is 1,100 in total
that's my go at it
Jada plans to fly from Boston to san diego for work she collects data on a random sample of flights from Boston to san Diego on two different airlines the box plot shows the data distributions
Box plots are a useful tool for summarizing and visualizing data, allowing for easy comparison and analysis of different data sets
A box plot is a graphical representation of a data set that shows the distribution of the data and some of its key statistical measures such as the median, quartiles and outliers.
The box plot consists of a box and whiskers that extend from the box.
The box represents the middle 50% of the data with the lower and upper quartiles forming the bottom and top of the box respectively.
The line inside the box represents the median is the middle value of the data set.
The whiskers extend from the box to the minimum and maximum values that are not outliers.
Outliers are values that are much larger or smaller than the other values in the data set are shown as individual points outside the whiskers.
Box plots can be used to compare the distributions of data sets, such as in the case of Jada's data on flights from Boston to San Diego on two different airlines.
By comparing the medians quartiles and ranges of the box plots for the two airlines Jada can get a sense of which airline has more consistent flight times fewer delays or other factors that are important to her.
Additionally Jada can identify any outliers in the data set that may be worth investigating further.
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help please Simplify (4^1/5)^5
Answer:
B. 4
Step-by-step explanation:
(4^1/5)^5
Apply law of exponents.
4^(1/5 × 5)
4^(5/5)
4^1
= 4
Answer:four
Step-by-step explanation:blah blah blah its correct:)
Find the missing number so that the equation has infinitely many solutions.
– 2x+18=blank x+18
The missing term in the equation is n = -2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the missing term be represented as n
-2x + 18 = nx + 18
Subtracting 18 on both sides of the equation , we get
-2x = nx
Divide by x on both sides of the equation , we get
n = -2
Therefore , the missing term is n = -2
Hence , the equation is n = -2
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60% of 150 is what value? 40 90 108 111 please help fast.
Answer:
90
Step-by-step explanation: i used
Answer: 90
Step-by-step explanation:
hope this helps comment if you have any questions
Find the value of x.
47°
102°
Answer:
x is 149 degrees.
Hope this helps!
HELP ASAP!!
ABC is similar to QRS. If AB=3 when QR=1,
what is the measure of BC if RS=1.5?
A: 1.5
B: 3
C: 4.5
D: 5
Answer:
C
Step-by-step explanation:
Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1 and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5
Answer:
C
Step-by-step explanation:
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