Step-by-step explanation:
one would have to measure the sides, but from the looks of it, yes, A'B'C'D' is a dilation from ABCD. all sides of the new shadow appear to be parallel to the sides of the original shape. and it appears that the scaling factor is the same for all 4 sides (but again, one would have to measure precisely).
\(\frac{6\sqrt{3} }{7\sqrt{8} }\)
A chicken farmer bought 2330 baby chicks. Of this number, 1398 lived to maturity. What percent loss was experienced by the chicken farmer?
The chicken farmer experienced a loss of 41.45%.
To find the percent loss experienced by the chicken farmer, we need to determine the difference between the initial number of baby chicks and the number of chicks that lived to maturity, and then express it as a percentage of the initial number.
The initial number of baby chicks is given as 2330, and the number of chicks that lived to maturity is 1398. To calculate the loss, we subtract the number of surviving chicks from the initial number: 2330 - 1398 = 932.
Next, we need to express this loss as a percentage of the initial number. We divide the loss (932) by the initial number (2330), and then multiply by 100 to convert it into a percentage: (932/2330) * 100 ≈ 40.09%.
Therefore, the chicken farmer experienced a loss of approximately 40.09%. Rounded to two decimal places, this is approximately 41.45%.
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The value of (a+b)sq + (a-b)sq is
Answer:
2asq
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(a + b)sq + (a - b)sq
Step 2: Simplify
Distribute sq: asq + bsq + asq - bsqCombine like terms: 2asqDoes the following data represent a function?
A. Yes
B. no
X | Y
-10 | 6
-8 | -7
8 | -17
Given statement solution is :- Yes, the given data represents a function. The correct answer is A. Yes.
Functional verification is the task of verifying that the logic design conforms to specification.
Functional verification is the process of ensuring that a system meets its intended specifications and requirements. It is especially important for AI-based systems, which often involve complex algorithms, data, and interactions that can affect safety, security, and performance.
Yes, the given data represents a function. In a function, each input value (X) maps to a unique output value (Y). Looking at the data provided:
X | Y
-10 | 6
-8 | -7
8 | -17
For every given input value, there is only one corresponding output value. Therefore, this data represents a function. The correct answer is A. Yes.
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How do you write x-2y=-2 in slope intercept form. Solving steps please
Answer: y=1/2x +1
Step-by-step explanation:
The slope-intercept form is y=mx+b
where m is the slope and b
is the y-intercept. y=mx+b
Rewrite in slope-intercept form.
Subtract x
from both sides of the equation.−2y=−2−x
Divide each term in −2y=−2−x by −2
and simplify.y=1+x2
Write in y=mx+b
form. y=1/2x+1
John can invest $4 million, or the foreign currency equivalent of the bank's short term funds, in a covered interest arbitrage with Canada. The the following quotes are provided:S 1.278 CAD/USDF (4 months) 1.2902 CAD/USDUSD 4-month interest rate 2.9%CAD 4-month interest rate 4.7%Calculate the covered interest arbitrage (CIA) profit/Loss (2nd alternative- 1st alterative)?
Therefore, it can be seen that the CIA profit/loss is $111,878.
Here are the steps involved in calculating the covered interest arbitrage (CIA) profit/loss:Borrow $4 million in USD at the 4-month interest rate of 2.9%.
Convert the USD to CAD at the spot rate of 1.278 CAD/USD.
Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.
Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.
After 4 months, repay the USD loan and settle the forward contract.
The profit/loss from the CIA strategy is calculated as follows:
Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)
In this case, the profit/loss is calculated as follows:
Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)
= $112,000 - $0.12
= $111,878
Therefore, the CIA profit/loss is $111,878.
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Would using the commutative property of addition be a good strategy
for simplifying 35 +82 +65? Explain why or why not.
Answer:
Yes
Step-by-step explanation:
Without using the property, you would have to do 35+82+65 which is messy. 35+82=117+65=182 ugh
Using the property however, tells you that you can do 35+65+82 which is easier to solve! 35+65=100+82=182
Your sewing cabinet has compartment that hold 8 spools of thread each you have 50 spools of thread how many compartment can you fill
Brainliest question please please help me please
Answer: C outside of the circle
Step-by-step explanation:
The answer is c because
point 4, -1 falls outside of the
circle.
Hope this helps :)
Answer:
Its on the circle
Step-by-step explanation:
Write an equation perpendicular to y=-1/5x+9 that passes trough the point (-2,-2)
Answer:
Y=5x + 8
Step-by-step explanation:
The slope of a perpendicular like would be 5
y = 5x + B
-2 = 5(-2)+ B
-2 = -10 + b
b = 8
Y=5x + 8
Answer: y=5x+8
Step-by-step explanation:
To find the perpendicular line, we know that the slope is the negative reciprocal of the equation. Therefore, we know that the slope will be 5. All we have to do is plug in the point to find the y-intercept.
\(y=5x+b\) [plug in (-2,-2)]
\(-2=5(-2)+b\) [multiply]
\(-2=-10+b\) [add both sides by 10]
\(b=8\)
Now, we know the perpendicular equation is y=5x+8.
how many five-digit positive integers exist where the digits are non increasing from left to right? (for example, 87743 and 10000 fulfill the conditions. 78987 and 33429 do not.)
There are 715 five-digit positive integers where the digits are non-increasing from left to right.
Here, we have to find the number of five-digit positive integers where the digits are non-increasing from left to right, you can think of this as selecting five digits (from 0 to 9) with repetition allowed, while ensuring that the selected digits are arranged in a non-increasing order.
This is essentially a combinations with repetition problem.
For each digit, there are 10 choices (0 to 9). Since repetition is allowed, you can use a stars and bars approach, where you place 4 bars among 10 possible positions (one for each digit choice) to separate the digits into groups.
The number of ways to arrange 5 digits with repetition allowed is given by the formula:
Number of arrangements = (n + k - 1) choose k,
where n is the number of digits (10 choices) and k is the number of bars (4). Plugging in the values:
Number of arrangements = (10 + 4 - 1) choose 4 = 13 choose 4 = 715.
So, there are 715 five-digit positive integers where the digits are non-increasing from left to right.
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I NEED HELP PLEASE ASAP
Examining the stem and leaf plot, the number of drivers that travelled below 70 miles per hour is
A. 8
What is stem and leaf plotA stem and leaf plot is a type of data display used in statistics to organize and rank data while retaining individual data points.
It is a visual representation of a frequency distribution of numerical data where each value is split into a stem (usually the leftmost digits) and a leaf usually the rightmost digit).
Using the information we can write out the speed of drivers that drove below 70 miles per hour
54, 56, 59, 62, 62, 63, 64, and 68
This gives 8
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A van can ferry a maximum of 12 people. By setting up an inequality, find the maximum number of vans that are needed to ferry 80 people
By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.
To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.
Since a van can ferry a maximum of 12 people, we can write the inequality as:
12v ≥ 80
Now, let's solve for "v":
Divide both sides of the inequality by 12.
v ≥ 80/12
Simplify the inequality.
v ≥ 6.67
Since we cannot have a fraction of a van, we need to round up to the nearest whole number:
v ≥ 7
Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.
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Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
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if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answer:
comparing the means of three or more groups
Step-by-step explanation:
what is (14,0) and ( 12,2 ) in slope please help and it due in 1 min
slope = rise / run
2 + 0 / 12 + 14
2 / 26 = 1 / 13 slope
Suppose the derivative of function f is
f'(x) =(x+1)^2(x-3)^5(x-6)^4
On what interval is f increasing?
The function f is increasing on the interval (6, ∞).
The function f will be increasing in the intervals where f'(x) > 0.
To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.
We can analyze the sign of f(x) by considering the factors individually:
(x+1)²: This factor is always positive since it is the square of a real number.
(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.
(x - 6)⁴: This factor is positive when x>6 and negative when x< 6.
We need to consider the overlapping regions of positivity for each factor.
When x>6, all three factors are positive, so f ′ (x) is positive.
When 3<x<6: In this interval, the factor (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.
Thus, f ′ (x) is negative.
When x<−1: In this interval, (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.
Hence, f ′ (x) is negative.
Therefore, the function f(x) is increasing on the interval x>6.
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a.) Macy’s is having a Black Friday sale where everything is 30% off.
How much will a dress that cost $180 be after the discount?
Answer: $126.00, the difference is 54.00
Step-by-step explanation:
126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ
Please help . Write 405 in scientific notation 405
Answer:
4.05 x 10^2
Step-by-step explanation:
Please mark brainiest
and give 5 stars
Thanks
Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .
Answer:
\(x = \{13,14\}\)
Step-by-step explanation:
Given
\(x + 2x + 6 < 50\)
Required
True values of x
We have:
\(x + 2x + 6 < 50\\\)
\(3x + 6 < 50\)
Collect like terms
\(3x < 50-6\)
\(3x < 44\)
Divide both sides by 3
\(x < 44/3\)
\(x < 14.67\)
This means that x has a value lesser than 14.67.
Hence, the valid values are:
\(x = \{13,14\}\)
Answer: (13,14)
Step-by-step explanation:
Here is a set of date
2.4 , 1.6 , 3.2 , 0.3 , 1.5
A) calculate the mean.
B) each piece of data is increased by 10 calculate the new mean.
C) each new piece of data is now doubled calculate the new mean.
Answer:
A) 1.8B) 11.8C) 3.6Step-by-step explanation:
Refer the attachment for explanationPlease mark me as the brainliest of this helped youif the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
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GIVING 35$ TO WHOEVER DOES THIS!
Answer:
A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²
When performing a statistical analysis, why do we usually work with a sample rather than an entire population?
Select one:
a. The p-values only work with samples, not populations.
b. A t-test doesn't produce results when a population is used.
c. We don't work with samples, we only work with entire populations.
d. We often lack the manpower and resources to gather an entire population for a statistical analysis
When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.
Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.
So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.
So, option D is the correct answer.
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You can infer causality from a correlational result, but only when the r value is greater than ?A. 0B. 5C. 1
You can infer causality from a correlational result, but only when the r value is greater than:
C. 1
Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.
However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.
In addition, there are other factors that need to be considered when assessing causality from a correlational result.
For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.
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Why is halting problem undecidable?
Therefore , the solution of the given problem of tractable problem comes out to be the halting problem is undecidable for Turing machines.
Tractable problem: what is it?a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.
Here,
Alan Turing proved in 1936 that a general algorithm running on a Turing
machine that solves the halting problem for all possible program-input
pairs necessarily cannot exist.
the halting problem is undecidable for Turing machines.
Therefore , the solution of the given problem of probability comes out to be the halting problem is undecidable for Turing machines.
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Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?
Answer:
11.2
Step-by-step explanation:
The answer is 11.2
11.2*.25=2.8
11.2-2.8=8.4
A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1. 8. How many students should be sampled to be within 0. 25 drink of population mean with 95% probability?.
The number of the students should be sampled to be within 0.25 alcoholic drinks of population mean with 95% probability is 62.
What is termed as the Margin of error?The margin of error measures the degree of uncertainty in the parameter estimates of parameter results.The reliability of a estimates decreases as the margin of sample error increases.α is the result of subtracting one from confidence interval as well as dividing by two.
α = (1 - 0.95) ÷ 2 = 0.25
Find z in the Z-table because z does have a p-value of 1 - α.
As a result, the p-value of z is (1 - 0.025) = 0.975.
Thus, z = 1.96
Now find M as;
M = z × (σ ÷ √n)
In which,
n is the sample size σ = population standard deviation.When M = 1,
The standard deviation, in accordance with the question, is approximately 1.
σ = 1
M = z × (σ ÷ √n)
0. 25 = 1.96 × (1 ÷ √n)
√n = 1.96 × (1 ÷ √n)
Squaring both sides,
(√n)² = ((1.96 × 1) ÷ 0.25)²
n = (7.84)²
n = 61.4656
n ≈ 62
Thus, the number of the students should be sampled to be within 0. 25 alcoholic drink of population mean with 95% probability is 62.
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Mark uses 19 gallons of gas while traveling 399
miles at a constant rate in his car. How many
miles is Mark able to travel on 9 gallons of gas?
Answer:
189
Step-by-step explanation:
If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.
We get this by taking 399 divided by 19.
So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.
We get this by taking 21 times 9
In a right triangle the length of the hypotenuse is a and the measurement of one of the
acute angle is a. Find the measurement of the other acute angle and the lengths of the
legs.
Answer:
The measure of the acute angle = 90 - a
Leg 1 = a cos(a)
Leg 2 = a sin(a)
Step-by-step explanation:
In a right triangle ,the two acute angles are complementary
We are given that the measure of one of the acute angles is ‘a’
Then
The measure of the other one is ‘90 - a’
Now, we use the law of sine to determine the length of the legs :
Let x and y be respectively the length of the two legs.
\(\frac{x}{\sin \left( 90-a\right) } =\frac{a}{\sin \left( 90\right) }\)
\(\Longleftrightarrow \frac{x}{\sin \left( 90-a\right) } =a\)
\(\Longleftrightarrow x = a \times\sin \left( 90-a\right)\)
\(\Longleftrightarrow x = a \times\cos \left( a\right)\)
On the other hand,
\(\frac{y}{\sin \left( a\right) } =\frac{a}{\sin \left( 90\right) }=a\)
Then
\(y = a \times \sin(a)\)