Answer:
A)24 in^3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2x2=4
4x6=24
Which equation represents a linear function? (5 points) Equation 1: y3 = 2x + 1 Equation 2: y = 3x + 1 Equation 3: y = 5x2 − 1 Equation 4: y = 4x4 − 1 Equation 1 Equation 2 Equation 3 Equation 4
Answer:
y = 3x + 1
Step-by-step explanation:
' y = 3x + 1 ' is a equation of a linear function. The equation is in slope-intercept form. All slope intercept-form lines are linear.
An equation for a linear function has no exponents, no variables in fractions, and no square roots.
Hope this helps.
Answer:
b
Step-by-step explanation:
Round the decimal to the nearest whole number, 14.2.
Answer:14.
Step-by-step explanation:
14.2 is closer to 14 than 15
Answer:
14
Step-by-step explanation:
The nearest whole number in 14.2 is 4.
Since 2 is less than 5, the 4 stays the same.
We get left with 14.
eight-year old susan was tested and found to have an average iq of 100. what would your estimate her mental age (ma) to be?
Her mental age would be 8 yrs old.
IQ [ Intelligent Quotient ] is a type of standard score that indicates how far above, or how far below, his/her peer group an individual stands in mental ability.
IQ of a person is given by the formula -
IQ = MA/CA * 100
IQ = Mental Age / Chronological Age * 100
According to the question, IQ = 100, CA = 8
⇒ 100 = MA / 8 *100
⇒1 = MA / 8
⇒ MA = 8 Yrs
Hence, the estimated mental age of susan is 8 yrs old.
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Note that f is continuous on (−[infinity],6) and (6,[infinity]). For the function to be continuous on (−[infinity],[infinity]), we need to ensure that as x approaches 6 , the left and nghit limits match. First we find the left limit. lim x→6 + f(x) = lim x→6 − (x^2+9x)= Next, we find the right himit. lim x→6 + f(x) = lim x→6 + (x 3 −(x)=
To find the left limit as x approaches 6, we evaluate the function from the left side:
lim x→6- f(x) = lim x→6- (x^2 + 9x)
Substituting 6 into the function:
lim x→6- f(x) = lim x→6- (6^2 + 9(6))
= lim x→6- (36 + 54)
= lim x→6- (90)
= 90
To find the right limit as x approaches 6, we evaluate the function from the right side:
lim x→6+ f(x) = lim x→6+ (x^3 - x)
Substituting 6 into the function:
lim x→6+ f(x) = lim x→6+ (6^3 - 6)
= lim x→6+ (216 - 6)
= lim x→6+ (210)
= 210
To ensure that the function is continuous at x = 6, the left and right limits must match. In this case, since the left limit is 90 and the right limit is 210, they are not equal. Therefore, the function is not continuous at x = 6.
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please explain and write the answer!
Answer:
You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.
So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)
Please help!! Will give brainiest!1 Im so confused
Answer:
i dont know
Step-by-step explanation:
anyone please help surds questions
Answer:
\(2\sqrt{21}\)
Step-by-step explanation:
We can multiply the two irrational terms, getting \(\sqrt{84}\).
We see that 4 is a factor of 84, so we can rewrite \(\sqrt{84}\) as \(\sqrt{4 (21) }\). We can take the 4 out, getting \(2\sqrt{21}\).
show that if λ is an eigenvalue of a and x is an eigenvector belonging to λ. show that for m ≥ 1, λ m is an eigenvalue of am and x is an eigenvector of am belonging to λ m.
If λ is an eigenvalue of matrix A and x is the corresponding eigenvector, then for any positive integer m, λ^m is an eigenvalue of A^m, and x is the corresponding eigenvector of A^m.
Let λ be an eigenvalue of matrix A with eigenvector x. This means that Ax = λx. Now, consider the matrix A^m, where m is a positive integer. By multiplying both sides of the eigenvector equation by A^(m-1), we have A^(m-1)Ax = A^(m-1)(λx), which simplifies to A^mx = λA^(m-1)x.
Since A^mx = (A^m)x and A^(m-1)x = λ^(m-1)x, we can rewrite the equation as (A^m)x = λ^(m-1)(Ax). Using the initial eigenvector equation Ax = λx, we have (A^m)x = λ^(m-1)(λx), which further simplifies to (A^m)x = λ^m x.
Therefore, we have shown that if λ is an eigenvalue of A with eigenvector x, then for any positive integer m, λ^m is an eigenvalue of A^m with the same eigenvector x. This result demonstrates the relationship between eigenvalues and matrix powers, illustrating that raising the matrix to a power corresponds to raising the eigenvalue to the same power while keeping the eigenvector unchanged.
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Classify each number as rational or irrational. Choose the correct response from the drop-down menus.
Choose...
0.325
Choose...
0.4562345...
Choose...
V50
Choose...
14
2
Choose...
Answer:
0.325
Step-by-step explanation:
i don't get the question sorry...
rational
rational
irrational
irrational
irrational
Solve for the measure of arc KM.
Answer:
The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.
50° = (1/2)(162° - KM)
100° = 162° - KM
KM = 62°
The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). Calculate the critical value the manager should use to conduct the hypothesis test of interest. The null hypothesis is that mean daily output is no greater than 200, and the alternative hypothesis that it is greater than 200. Continue to assume that daily output levels are approximately normally distributed, with standard deviation 18 units. A random sample of 81 days of output will be collected to conduct the test.
Continued. Using the critical value you calculated in the previous question, what is the probability of Type II error if the population mean is 205?
Continued. If the sample mean turns out to be 205, what is the conclusion of the test?
The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). To calculate the critical value, we need to find the Z-score associated with a 1% significance level.
To find the critical value, we can use a Z-table or a Z-score calculator. Since the significance level is 1% (0.01), we need to find the Z-score corresponding to the area of 0.99 (1 - 0.01) in the upper tail of the standard normal distribution.
By looking up the Z-table or using a Z-score calculator, we find that the Z-score corresponding to a 0.99 cumulative probability is approximately 2.33. The critical value the manager should use to conduct the hypothesis test is 2.33.
To calculate the probability of Type II error, we need to specify an alternative hypothesis and determine the corresponding population mean value. In this case, the alternative hypothesis is that the mean daily output is greater than 200, and the specified population mean value is 205.
To calculate the probability of Type II error, we need to find the area under the null hypothesis distribution that falls to the right of the critical value. In other words, we need to find the probability that the test statistic, assuming the null hypothesis is true, falls in the rejection region. Since we are assuming the population mean is 205, we can calculate the Z-score using the formula:
Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the values, we get:
Z = (205 - 200) / (18 / sqrt(81)) = 5 / (18 / 9) = 5 / 2 = 2.5
Now, we can calculate the probability of Type II error by finding the area under the null hypothesis distribution to the right of the critical value, which is 2.33. Using the Z-table or a Z-score calculator, we find that the probability of Type II error is approximately 0.0062, or 0.62%.
If the sample mean turns out to be 205, we compare it to the critical value. If the sample mean is greater than the critical value (2.33), we reject the null hypothesis. In this case, since the sample mean is 205, which is greater than the critical value of 2.33, we would reject the null hypothesis. The conclusion of the test would be that there is sufficient evidence to suggest that the mean daily output is greater than 200.
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The value of y varies directly with x. When y = 90, x = 3/4. What is the value of y when x = 3 1/2?
Will mark brainliest if right!
Hurry!!
Answer:
419.999999994 =420
Step-by-step explanation:
Its all in the equations lol
Need help if answer is right ill give 5 stars
Answer:
11
Step-by-step explanation:
Mr. Nelson sold 14 bags of popcorn and 21 bottles of water in today. At this rate, how many more bottles of water than bags of popcorn will Mr. Nelson sell in 5 days?
Mr. Nelson would sell more bottles than bags of popcorn in 5 days
Answer:
Mr Nelson will sell 115 more bottles of water than popcorn. First, you find the rate of popcorn and water being sold. That will be 147 bags divided by 3 and 216 bottles divided by 3. You get 49 bags and 72 bottles. You subtract those two numbers, 72-49=23. 23 is the number more waters sold than the popcorn. Finally, you multiply 23 by 5 days and you get 115. So it's 115 more waters sold than popcorn.
Step-by-step explanation:
Answer:
21×5 = 105.
14×5=70.
105-70 =35
how many square feet of carpet will we need for this hole
Answer: 44 ft²
Step-by-step explanation:
We will find the area of the large rectangle and subtract the area of the square. The area of a rectangle (and square) can be used with this formula:
A = LW
Large Rectangle:
A = LW
A = (12 ft)(4 ft)
A = 48 ft²
Square:
A = LW
A = (2 ft)(2 ft)
A = 4 ft²
Subtract:
48 ft² - 4 ft² = 44 ft²
Write 2.1- as a mixed number. Show
your work
Answer:
2⅒
Step-by-step explanation:
0.1 = 1/10
2 ⅒
Answer:
2 1/10
Step-by-step explanation:
To convert the decimal 2.1 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.1 = 2.1
--------
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
= (2.1 × 10)
(1 × 10) = 21
------
10
Now you have to simplify, 2 1/10.
write another subtraction problem involving two negatie number that has a positive difference. then write another subtraction problem involving two negative numbers that has a negative difference.
Answer:
Two negatives, positive answer:
-3 - (-4) = 1
Two negatives, negative answer:
-45 - (-1) = -44
an item is regularly priced at $91 . it is on sale for 35% off the regular price. use the aleks calculator to find the sale price.
The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.
To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:
Step 1: Calculate the amount of discount = Regular Price × Discount rate
Discount rate = 35/100
Simplifying the value we have:
Discount rate = 0.35
Amount of discount = 91 × 0.35
Amount of discount = $31.85
Step 2: Calculate the sale price
Sale price = Regular price − Amount of discount
Sale price = $91 − $31.85
Sale price = $59.15
Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.
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PLEASE HELP SOMEBODY!
Answer:
C. As the fat increases, the calories increase too
Answer:
c
Step-by-step explanation:
A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?
Answer:
$2.25
Step-by-step explanation:
5 lbs = $11.25
The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:
$11.25 ÷ 5 = $2.25
Hope this helps!
Answer:
2.25 ($) per pound
Step-by-step explanation: 11.25 / 5 = 2.25 per pound Alternative workings we simply divide by 10 to find 11.25 / 10 = 1.125 then multiply by 2 1.125 * 2 = 2.25 ($) per pound
assuming the outcomes to be equally likely, find the probability that the tosses are all the same. the probablility that the tosses are the same is
The probability that the tosses are all the same is 1/2^n, where n is the number of tosses.
This is because the probability of each toss being the same is 1/2 (heads or tails). So the probability of all three tosses being the same is the product of the probabilities of the individual tosses:
1/2 * 1/2 * 1/2 = 1/2^3 = 1/8.
The reason for this is that the probability of each toss being the same is independent of the others. That is, the result of one toss does not affect the result of another toss.
As a result, the probability of all tosses being the same is the product of the probabilities of the individual tosses.
In summary, the probability of all tosses being the same is 1/2^n, where n is the number of tosses.
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The author claims that Rosie the Riveter became "one of the most successful
recruitment tools in American history. " What evidence from the text supports
this claim?
The evidence from the text supports this claim is Rosie the Riveter is the face of a successful recruitment campaign aimed at getting women to join the workforce during World War II.
Rosie the Riveter became "one of the most successful recruitment tools in American history," supported by the text with the following evidence:
More than 6 million women went to work in factories and offices in the USA between 1940 and 1945, enabling the country to turn out an astounding quantity of supplies needed for war.
Rosie the Riveter is the face of a successful recruitment campaign aimed at getting women to join the workforce during World War II.
During the war, the government actively encouraged women to work in jobs previously reserved for men, and this campaign was so successful that approximately 150 million women were added to the labor force.
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Fill in the blank. A polygon is _____ if there are "dents" or indentations in it (where the internal angle is greater than 180°)
A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.
In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.
Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.
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the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
if 1 unit=5 then how many units make 4,000
Answer:
800
Step-by-step explanation:
1=5
?=4000
4000 divided by 5 = 800
A car travels 160 miles in 4 hours. How many miles per hour does the car
travel?
Answer:
40 mph
Step-by-step explanation:
160÷4 = 40 miles per hour
Answer:
40miles per hour
Step-by-step explanation:
distance traveled/time spent=speed(velocity)
160/4=speed (velocity)
40mph
For each expression, circle any like terms and list any variables.
The final resultant expressions are 3.9 - 0.8 x , 1.5 + t+0.66 x ,
77/5 k - 3m.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given expressions,
-2.5x+3.9 + 1.7x
3.9 + 1.7x-2.5x
3.9 - 0.8 x
1 1/2 + t + 2/3 s
= (2+1) / 2 + t+ 2/3 s
= 3/2 + t + 2/3 s
= 1.5 + t+0.66 x
15k+2/5 k -3m
k(15+2/5 ) - 3m
k (75 + 2 / 5 ) - 3m
77/5 k - 3m
Hence, The final resultant expressions 3.9 - 0.8 x , 1.5 + t+0.66 x ,
77/5 k - 3m
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Solve the system of equations.
y=4x
y = x^2 + 3
A. (-1, -4) and (3, 12)
B. (0, 3) and (1, 4)
C. (1, 4) and (3, 12)
D. (-3, -12) and (-1, -4)
Answer:(1,4) and (3,12)
Step-by-step explanation
An independent set in a graph is a set of vertices S⊆V that contains no edge (so no pair of neighboring vertices is included). The max independent set problem is to find an independent set of maximum size in a graph G. (a) Write the max independent set problem as an integer linear program. (b) Write an LP relaxation for the max independent set problem. (c) Construct an example (a family of graphs) to show that the ratio LP-OPT / OPT can be at least cn where c>0 is some absolute constant and n is the number of vertices of the graph. (d) What is the (exact) relation between the size of a max independent set and the size of min vertex cover of a graph? (e) Using this relation, what does the 2-approximation algorithm for vertex cover imply for an approximation algorithm for max independent set?
The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.
The solution for this question is discussed below:
a) The integer linear program for the max independent set problem is as follows:
maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.
b) The LP relaxation for the max independent set problem is as follows:
Maximize ∑x_iSubject to:
xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.
c) The family of graphs is as follows:
Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.
d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.
e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.
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what is the answer?