Question 10 (5 points)
(02.05 LC)
What number is 80% of 90? (5 points)
Plz help
Answers
80%=.8
.8 x 90
72
Related Questions
Find the exact value of x
Answers
Answer:
Step-by-step explanation:
Remark
By manipulating parts of right angle triangles, you get 15/x = x/6
Solution
x^2 = 90
x = sqrt(90)
x = sqrt(3*3 * 2 * 5)
x = 3*sqrt(10)
Julio says, If you subtract 18 from my number and multiply the difference by -5 , the result is-80 . What is s number?
Answers
Answer:
34 is your answer
Step-by-step explanation:
34-18=16
16(-5)=-80
Answer:
\(s=34\)
Step-by-step explanation:
Set up an equation using the given information:
our number is represented by ssubtract 18 from smultiply the difference by -5result is -80"Multiply the difference" suggests that the subtraction should be done first. Following PEMDAS, in order to get subtraction done first, it would need to be in parentheses:
\((s-18)\)
Then you would multiply that difference by -5:
\(-5*(s-18)\)
Now set the expression as equal to -80:
\(-80=-5(s-18)\)
Now you can solve for s. Use the distributive property:
\(-80=-5(s)-5(-18)\\\\-80=-5s+90\)
Isolate the variable s. Subtract 90 from both sides:
\(-80-90=-5s+90-90\\\\-170=-5s\)
Divide both sides by -5:
\(\frac{-170}{-5}=\frac{-5s}{-5} \\\\34=s\)
Your number is 34.
:Done
Check answer:
Insert the value of s into the equation to determine if true:
\(-80=-5(34-18)\\\\-80=-5(16)\\\\-80=-80\)
This is true, so the value of s is correct.
if an empirical association can be shown to exist between a selection measure and scores for job performance, the blank of a selection method can be established. multiple choice question. reliability generalization statistical weight validity
Answers
When an empirical association can be shown to exist between a selection measure and scores for job performance, the validity, reliability, and statistical weight of the selection method can all be established.
Validity is the term used to describe the accuracy of a selection measure in predicting job performance. It measures the extent to which a selection measure is related to the job itself, not just to other measures of the job. This means that if an empirical association can be shown to exist between a selection measure and scores for job performance, the validity of a selection method can be established.
To demonstrate validity, researchers must demonstrate that the selection measure is associated with job performance. This is usually done by using statistical analysis to measure the correlation between the selection measure and the job performance. If a statistically significant correlation exists between the two variables, then it can be said that the selection measure is valid.
The reliability of the selection measure is also important. Reliability is the degree to which the selection measure produces consistent results over time. In other words, the selection measure should produce the same results when used on multiple occasions or with different people. If the selection measure produces different results in different circumstances, then it cannot be said to be reliable.
Finally, statistical weight is the measure of the strength of the association between the selection measure and job performance. Statistical weight is typically measured using the coefficient of correlation, which is the ratio between the magnitude of the association and the amount of variability in the results. If a selection measure has a high coefficient of correlation, then it has a high statistical weight and is likely to be valid.
In conclusion, when an empirical association can be shown to exist between a selection measure and scores for job performance, the validity, reliability, and statistical weight of the selection method can all be established. This allows researchers to have confidence that the selection measure is valid and reliable in predicting job performance.
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Solve for c:
c - (-11) = -12
Answers
Answer:
-23 .......................
21. In 2019, the population in Modesto is 212,616. The annual growth rate of Modesto is 2%. Write an
exponential model to represent the population of Modesto. Then use this model to estimate the population after 8 years.
Answers
Answer:
A general formula for calculating the population growth rate is Gr = N / t. Gr is the growth rate measured in individuals, N is the change in population, and t is the period of time.
Step-by-step explanation:
SM
If the mpc increases in value, what will happen to the slope of the consumption function?
Answers
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answers
Answer:
option a as last digit even a d come in 3 table
A cyclist travels a distance of 116 km in 4 hours. What is his average speed?
Answers
Answer:
The Answer is 29 kph
Step-by-step explanation:
Just divide 116 by 4.
\(116 \div 4 = 29\)
Therefore, his average speed is \(29km/hr\).
What is the average speed?
Average speed is the total distance traveled for the object in question divided by the total elapsed time taken to travel the distance, the total period of time.
Here given that,
Distance is \(116km\)
Time is \(4hours\)
As we know that,
Avearge speed = Distance / Time
So,
Average speed = \(\frac{116}{4}\)
\(=29\)
Hence, his average speed is \(29km/hr\).
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What is the volume of this cylinder?
Use
3.14 and round your answer to the nearest hundredth.
6 in
2 in
cubic inches
Answers
By using the volume of the cylinder, it can be calculated that
Volume of the cylinder is 75.360 cubic inches
What is volume of a cylinder?
Volume of a cylinder is the total space taken by the cylinder.
If r is the radius of the cylinder and h is the height of the cylinder, then volume of the cylinder is calculated by-
V = \(\pi r^2h\)
Here,
Height of the cylinder = 6 inches
Radius of the cylinder = 2 inches
Volume of the cylinder = \(3.14 \times 2^2 \times 6\) = 75.360 cubic inches
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Complete Question
A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.
Consider a monopolist selling a product with inverse demand of PD=12−Q. The firm currently has production costs of C(q)=5+6Q. The firm has the option of attempting to develop a new technology that would lower production costs to C(q)=5+2Q. Research and development costs are $4 if undertaken and must be incurred regardless of whether or not the new technology is "successful" or a "failure." This means that in case of failure, the firm still needs to produce with C(q)=5+6Q but incurs $4 in sunk costs. If the firm attempts to develop the new technology, the innovation will be successful with probability p=3/8. Throughout your analysis, restrict attention to the profit/loss of the firm in only the current period (i.e., assume that the firm will not be operating in any future period).
1. Assume that the monopolist is risk averse, what would be the expected utility of perfect information [assuming that U(Payoff)=sqrt(Payoff)]?
2.75
3.0
3.25
3.5
2. Assume that the monopolist is risk averse, what would be the maximum willingness to pay for perfect information?
3.0
3.25
3.56
4.0
3. Assume the monopolist could consult an engineer who, while not being able to provide perfect information, can evaluate the new technology as either "Promising" or "Risky." You then update your preferences. If P(Success)×P(Promising|Success) = 0.3, what is then the updated probability of P(Risky | Success)?
1/10
2/10
3/10
4/10
4. Assume the monopolist could consult an engineer who, while not being able to provide perfect information, can evaluate the new technology as either "Promising" or "Risky." You then update your preferences. If P(Failure)×P(Risky|Failure) = 0.5, what is then the updated probability of P(Promising| Failure)?
1/10
2/10
3/10
4/10
5. After updating preferences, what is the monopolist's probability of obtaining a promising result, P(Promising) =
17/40
18/40
19/40
20/40
6. After updating probabilities, what is the monopolist's probability of obtaining a risky result, P(Risky) =
21/40
22/40
23/40
24/40
7. Assume the monopolist is told by the engineer that the technology is "promising," what's the monopolist's expected payoff from pursuing the new technology?
11.29
12.19
21.91
29.11
8. Assume the monopolist is told by the engineer that the technology is "risky," what's the monopolist's expected payoff when pursuing the new technology?
0.29
0.92
2.09
20.9
9. After updating probabilities, what is the monopolist's expected payoff from the engineer's information?
5.3
6.2
7.1
8.0
10. Assuming risk-neutrality, what is the monopolist's maximum willingness to pay for the engineer's evaluation?
1.3
2.2
3.1
4.0
11. Assuming risk-aversion [U=sqrt(Payoff)], what is the monopolist's maximum willingness to pay for the engineer's evaluation?
0.65
1.65
2.65
3.0
Answers
Answer:
The expected utility of perfect information is the maximum expected utility with perfect information minus the expected utility without perfect information.
With perfect information, the firm would know whether the new technology is successful or not, so the expected profit would be:
Probability of success * (Revenue - Cost with new technology) + Probability of failure * (Revenue - Cost without new technology)
= 3/8 * (12 - Q - 5 - 2Q) + 5/8 * (12 - Q - 5 - 6Q)
= 13/4 - Q/2
The maximum expected utility with perfect information is the square root of the expected profit, which is sqrt(13/4 - Q/2).
Without perfect information, the firm faces two possible outcomes: success with probability 3/8 and failure with probability 5/8. The expected profit is the probability-weighted average of the profits in each case:
Expected profit = Probability of success * Expected profit with success + Probability of failure * Expected profit with failure
The expected profit with success is (12 - Q - 5 - 2Q) = 7 - 3Q, and the expected profit with failure is (12 - Q - 5 - 6Q) = 7 - 7Q. Therefore:
Expected profit = 3/8 * (7 - 3Q) + 5/8 * (7 - 7Q)
= 27/8 - 5Q/8
The expected utility without perfect information is the square root of the expected profit, which is sqrt(27/8 - 5Q/8).
Thus, the expected utility of perfect information is:
sqrt(13/4 - Q/2) - sqrt(27/8 - 5Q/8) = 3.25
Therefore, the answer is option C, 3.25.
The maximum willingness to pay for perfect information is equal to the difference between the expected profit with perfect information and the expected profit without perfect information.
The expected profit with perfect information is:
Probability of success * (Revenue - Cost with new technology) + Probability of failure * (Revenue - Cost without new technology)
= 3/8 * (12 - Q - 5 - 2Q) + 5/8 * (12 - Q - 5 - 6Q)
= 13/4 - Q/2
The expected profit without perfect information is:
Expected profit = Probability of success * Expected profit with success + Probability of failure * Expected profit with failure
The expected profit with success is (12 - Q - 5 - 2Q) = 7 - 3Q, and the expected profit with failure is (12 - Q - 5 - 6Q) = 7 - 7Q. Therefore:
Expected profit = 3/8 * (7 - 3Q) + 5/8 * (7 - 7Q)
= 27/8 - 5Q/8
The maximum willingness to pay for perfect information is:
13/4 - Q/2 - (27/8 - 5Q/8) = 3.25 - 3Q/8
Therefore, the answer is option B, 3.25.
Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
Answers
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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Use the Theorem on Limits of Rational Functions to find the limit. If necessary, state that the limit does not exist Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A. lim X 8 X-8 (Simplify your answer)
B. The limit does not exist.
Answers
The correct choice is (B) The limit does not exist.
Theorem on Limits of Rational Functions:
The limit of a rational function f(x) as x approaches a is equal to the limit of its numerator divided by the limit of its denominator provided that the denominator does not approach zero.
x → a lim f(x) = lim [numerator of f(x)] / lim [denominator of f(x)]
If the limit of the denominator of the function approaches zero, the limit of the function can either not exist or be infinite.
If the limit of the numerator and denominator both equal zero or infinity, L'Hôpital's rule may be used to find the limit.
The given function is lim X 8 X-8
Here, the denominator is x - 8.
Because the denominator approaches zero as x approaches 8, we must factor the numerator and cancel like terms as follows:
x - 8 = 0(x - 8) = 0x = 8
Therefore, the limit does not exist.
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Use the Substitution method to solve the system of equations
3x+4y=10
y=x-1
Answers
Answer: 2
Step-by-step explanation:
3x+4y=10
3x+4(x-1)=10
3x+4x-4=10
7x-4=10
Add 4 to both sides
7x=14
x=2
Answer:(2,1)
Step-by-step explanation:ap3x beans
Which step is the first incorrect step in the solution shown below?
Solve: 2(x + 2) = 6x - 12
Step 1: 2x + 4 = 6x - 12
Step 2: -4x - 2 = 12
Step 3: -4x = 10
Step 4: x = -2.5
A. step 1
B.step 2
C. step 3
D. step 4
Answers
Answer:
Step 2 is incorrect. It should be -4x +2= -12
Step-by-step explanation:
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Answers
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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simplify 6-(9x+7)+2x=
Answers
Answer:
-7x-1
Step-by-step explanation:
6-(9x+7)+2x
-(9x+7): -9x-7
= 6-9x-7+2x
6-9x-7+2x=-7x-1
-7x-1
Answer:
-7x - 1
Step-by-step explanation:
Well to start off we have to multiply because of the - symbol at the start of the parenthesis.
So - * 9x is -9x and - * 7 is -7 so our equation looks like this now \(6-9x-7+2x=\).
Now we have to combine like terms so 6 + -7 is -1 and -9x + 2x is -7x.
So now our equation looks like this \(-7x-1=\).
So that is simplifued all the way.
can someone do this for me please?! Just the answer pls
Answers
1. Both triangles are congruent by: a. angle-angle-side congruence theorem.
Using the trigonometric ratios, we have:
2. C. 9
3. C. 4√3
4. B. sin C
What is the Angle-angle-side Congruence Theorem?The angle-angle-side congruence theorem states that two triangles are congruent to each other if they both have two pairs of corresponding congruent angles and a pair of non-included congruent side.
What is the Trigonometric Ratio?To solve any right triangle, the following Trigonometric ratios can be employed:
sin ∅ = opp/hyp
cos ∅ = adj/hyp
tan ∅ = opp/adj.
1. Both triangles can be proven to be congruent based on: a. angle-angle-side congruence theorem.
2. Given the points, A(-2, 6) and B(-2, -3), the distance between both points is:
AB = |6 - (-3)| = 9 units
The answer is: C. 9
3. Apply the sine ratio:
sin 60 = opp/hyp = m/8
m = (sin 60)(8)
m = (√3/2)(8) [sin 60 = √3/2]
m = 4√3
The answer is: C. 4√3
4. Using the sine ratio:
sin C = opp/hyp = 8/17
The answer is: B. sin C
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Additive inverse of 400
Answers
Given:
A number is 400.
To find:
The additive inverse of 400.
Solution:
We know that the sum of a number and its additive inverse is 0.
If "a" is number and "b" is its additive inverse, then
\(a+b=0\)
Let x be the additive inverse of 400. Then,
\(400+x=0\)
Subtract both sides by 400.
\(400+x-400=0-400\)
\(x=-400\)
Therefore, the additive inverse of 400 is \(-400\).
The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to
[10, 5, 30]
[5, 10, 20]
[10, 5, 20]
[5, 20, 30]
Answers
The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.
Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).
The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.
For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.
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Scarlett draws a rectangle that measures 9 inches long by 4 inches wide. She draws a new rectangle that has a scale factor of 125%. What are the dimensions of her new rectangle? PLSSS HURRY
Answers
Answer:
The dimensions of Scarlett's new rectangle would be 11.25 inches long by 5 inches wide.
To calculate this, we multiply both the length and width of the original rectangle by 125%, which is equivalent to multiplying by 1.25.
This gives us 9 x 1.25 = 11.25 for the new length, and 4 x 1.25 = 5 for the new width.
Answer: 11.25 and 5
Step-by-step explanation:
a 9x4 rectangle dilated by 125% is also saying;
9(1.25) * 4(1.25) = ?
Since you only need the dimensions, I'll leave it here
11.25 and 5
to can be driven before it would need to be junked is an exponential random variable with parameter smith has a used car that he claims has been driven only 10,000 miles. if jones purchases the car, what is the
Answers
Answer:
2334
Step-by-step explanation:
You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
Answers
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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6X² - 12x + (x-2) = 0
please help
Answers
Answer:
\(x = 2 \: or \: \frac{ - 1}{6} \)
Step-by-step explanation:
Lets open the brackets.
\(6 {x}^{2} - 12x + x - 2 = 0\)
Now lets factorise it.
\( = > 6 {x}^{2} - 12x + x - 2 = 0\)
\( = > 6x(x - 2) + 1(x - 2) = 0\)
\( = > (x - 2)(6x + 1) = 0\)
Here x will have two values.
1) \(x - 2 = 0\)
\( = > x = 2\)
2) \(6x + 1 = 0\)
\( = > 6x = - 1\)
\( = > x = \frac{ - 1}{6} \)
Roger is sixteen years old and eats granola bars. He attends P.R. Walker High School. In this example, is the independent variable.
Roger's age
Roger's school
Roger's diet
Answers
Answer:
Since the Independent variable is something that is modified or controlled in a scientific experiment, it is his age.
DETAILS PREVIOUS ANSWERS SCALCET8 4.1.511.XP.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x2 + 2x + 4), [-2, 2] Step 1 The absolute maximum and absolute minimum values of the function f occur either at a critical number or at an endpoint of the interval. Recall that a critical number is a value of x where f'(x) = 0 or where f'(x) doesn't exist. We begin by finding the critical numbers. f'(x) =
Answers
The absolute minimum value of f(x) is ln(2) at x = -1, and the absolute maximum value of f(x) is ln(12) at x = 2.
To find the absolute maximum and absolute minimum values of f(x) = ln(x² + 2x + 4) on the interval [-2, 2], we first need to find the critical points.
Step 1: Differentiate f(x) with respect to x:
f'(x) = d(ln(x² + 2x + 4))/dx
Using the chain rule, we have:
f'(x) = (1/(x² + 2x + 4)) * (2x + 2)
Step 2: Set f'(x) = 0 to find critical points:
(1/(x² + 2x + 4)) * (2x + 2) = 0
Since the fraction equals 0 when the numerator equals 0:
2x + 2 = 0
x = -1
So, we have one critical number x = -1. Now, we must evaluate f(x) at the critical number and the interval endpoints:
f(-2) = ln((-2)² + 2*(-2) + 4)
f(-1) = ln((-1)² + 2*(-1) + 4)
f(2) = ln((2)² + 2*2 + 4)
After evaluating these, we find that:
f(-2) = ln(4), f(-1) = ln(2), and f(2) = ln(12)
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How can you write and evaluate numbers with exponents?
Answers
Answer:
an exponent is the small number written above and to the right of a number
on a keyboard it is written like (^) that
ex. If you were saying 2 to the power of 2, you would write it as 2^2
when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself
Step-by-step explanation:
Item 4
What is the equation of this line written in slope-intercept form?
y−52=−2(x+1)
1.) y=−2x−92
2.) y=−2x+12
3.) y=−2x+72
4.) I don't know.
Answers
Answer: Option 2 is correct Y= -2x+1/2
Step-by-step explanation:
The solution is Option 2.
The equation of line in the slope intercept form is y = -2x + 1/2
where m is the slope m = -2 and the y intercept is 1/2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
The value of A is given by
y - 5/2 = -2 ( x + 1 )
Now , the slope intercept of the equation of line is given by
Equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
So , on simplifying the equation , we get
y - 5/2 = -2 ( x + 1 )
y - 5/2 = -2x - 2
Adding 5/2 on both sides of the equation , we get
y = -2x - 2 + 5/2
y = -2x + ( -4 + 5 ) / 2
y = -2x + 1/2
The slope of the equation A is m = -2
The y intercept of the equation A is 1/2
Hence , The equation of line in the slope intercept form is y = -2x + 1/2
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what is the slope of the line tangent to the graph of y=x2−2x2 1 when x = 1 ?
Answers
The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.
1. Take the derivative of the given function: \(y' = 2x - 2\).
2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).
To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).
Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.
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Fourteen of the 50 digital video recorders (DVRs ) in an inventory are known to be defective. What is the probability that a randomly selected item is defective? The probability is 0.28.
Answers
The probability of randomly selecting a defective item is 0.28 or 28%. This means that if we were to randomly pick one DVR from the inventory, there is a 28% chance it would be defective.
The probability of selecting a defective item from the inventory can be determined by dividing the number of defective DVRs by the total number of DVRs in the inventory. In this case, there are 14 defective DVRs out of a total of 50 DVRs.
To calculate the probability, we divide the number of defective DVRs (14) by the total number of DVRs (50):
Probability of selecting a defective item = 14 / 50 = 0.28
Therefore, the probability of randomly selecting a defective item is 0.28 or 28%. This means that if we were to randomly pick one DVR from the inventory, there is a 28% chance it would be defective. It's important to note that this probability assumes that the inventory is representative of the entire population of DVRs and that the defects are randomly distributed among the items.
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Jill bought 28ft of rope . She will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. Determine the system of equations that model this problem. Solve the system. How long is each piece of cut rope?
Answers
Answer:
The short rope is 7 ft long and the long piece is 21 ft long. I used my brain.
Step-by-step explanation: