Answer:
z^11
Step-by-step explanation:
When multiplying variables with exponents, keep the base, or the variable, and add the exponents.
z^5 + z^6 = z^11
:)
A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)
Answer:
(0, 2) or C
Step-by-step explanation:
The solution to the system of linear equations is (0,2). The correct option is C.
What is a system of linear equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x) passes through the points at (-3, 0) and (0, 2).
Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).
Therefore, the solution to the system of linear equations is (0,2). The correct option is C.
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If it’s the first answer say 1 if it’s the second day 2
ASAP
Answer:
i think that is 2 i only guess
What is the product of the complex numbers below? (4 - 21)(1 + 7) O A. 18 - 307 - OB B. -10 - 301 O C. -10 + 261 + O + D. 18 + 261
Given:
\((4-2i)(1+7i)\)To find: The product of two complex numbers:
Explanation:
On expansion we get,
\((4-2i)(1+7i)=4+28i-2i-14(i^2)\)As we know,
\(i^2=-1\)So, we w
WILL GIVE BRAINLIEST !!!! PLS ANSWER THE LINES CORRECTLY !!!
Answer:
wait whats the question so i can solve it
Step-by-step explanation:
Please answer :) much appreciated
what percent of flights are expected to meet the 20 minute "time to carousel"?
that it is difficult to determine an exact percentage of flights that are expected to meet the 20 minute "time to carousel" as it can vary depending on factors such as airport size, number of passengers, and baggage handling procedures. However, according to the Department of Transportation, the average wait time for baggage retrieval at major airports in the United States is around 30 minutes.
In explanation, the time it takes for baggage to reach the carousel after a flight lands is affected by several factors. These include the size of the airport, the number of passengers on the flight, the efficiency of baggage handlers, and any delays or issues that may occur during the transportation of the luggage from the plane to the carousel.
while it is difficult to provide an exact percentage of flights that meet the 20 minute "time to carousel" goal, it is clear that wait times for baggage retrieval can vary and can sometimes exceed 30 minutes. Factors such as airport size and efficiency of baggage handling can contribute to this variation.
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N. 1 and 7/10 gallons of gasoline were used to drive 25 and 1/2 miles. How many
miles per gallon did the car get?
miles per gallon
Answer:
Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)
Step-by-step explanation:
Hope it helps :)
nondisclosure of the treatment an experimental unit is receiving
Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.
Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.
Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.
"
Complete question
________ refers to nondisclosure of the treatment an experimental unit is receiving.
"
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F(x)=9x^2+6x+1 what is the x-intercepts
A family wants to enclose a rectangular playground for their toddler with an area of 24 square yards. The length of the garden is to be 5 yards more than its width. What should the dimensions of the playground be?
Answer:
3 × 8 yards
Explanation:
possible lengths & widths for the given area of 24 square yards:
1 and 24, 2 and 12, 3 and 8, 4 and 6
of these four options, only 3 and 8 fit the requirement of the length of the garden being 5 yards more than the width of the garden. thus, the answer is 3 × 8 yards.
i hope this helps! :D
select the value(s) that represent
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking you choose a tile. What is the probability of drawing a number? ( SHOW WORK PLS! I'LL GIVE BRAINLIEST QUESTION!!! ) ANSWER FAST!! tyyy
Answer:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
Step-by-step explanation:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
Answer:
4/6
Step-by-step explanation:
4/6 because the bag holds six tiles total so 4 of the 6 are numbered so you would have 4/6 of a chance of picking a numbered tile.
What is the value of cos Z?? HeLP
Answer:
Below
Step-by-step explanation:
Remember for RIGHT triangle , Cos Z = adjacent leg / hypotenuse
cos z = 48/50 = 24/25
Graph triangle ABC with vertices A (-4, 2), B (-4, 5), C (2, 4) and its image after a 90 degree rotation about the origin.
Answer:
here's how I do it .........
a variable subtracted from the left-hand side of a greater-than-or-equal to constraint to convert the constraint into an equality is known as a(n)
To change a greater than or equal to type constraint into an equality constraint, a variable is removed from the left side. It also goes by the name "negative slack variable."
Surplus variables, in terms of economics, signify the overfulfillment of the requirement.In order to change a less than or equal to type constraint into an equality, a variable is added to the left side of the constraint.The non-negative variables that are added to the LHS of the constraints in order to transform the inequality () into an equation are known as slack variables. The initial objective function with zero coefficients is expanded using such variables.Similar to slack variables, surplus variables have zero objective function coefficients and a coefficient in only one row. They serve as a measure of how much a constraint's left side is bigger than its right side.To know more about constraint check the below link:
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a student has scores of 84%, 71%, 86%, and 73% on four exams. what grade does the student need on the next exam to have an overall mean of 80%?
Answer:
Step-by-step explanation:
So, first you add the four exam percentage which will be 314 then you multiply 80 and 5. We use 5 because there are total 5 exams which will give the mean of 80%. After you get the answer for 80x5 which will be 400. Then you do, 400 - 314 which will be 86. So, the answer is 86%. To figure out if that answer is right, You add all the scores percentage and divide that by 5 and you should get 80%.
To have an overall mean of 80% after five exams, the student needs to score 88% on the next exam.
To find the student's overall mean, we need to add up all the scores and divide by the number of exams.
We have 4 exams scores:84%, 71%, 86%, and 73%.
Therefore, the total of the four exam scores is:
84% + 71% + 86% + 73% = 314%
To find the overall mean after five exams, the total score after five exams should be 5 × 80% = 400%.
Therefore, to have an overall mean of 80%, the student must score (400 - 314)% on the fifth exam, which is equivalent to: 86%.
Hence, the student needs to score 86% on the next exam to have an overall mean of 80%.
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Find mZKJL.
K
7x
(3x +
16)0M
mZKJL =
Answer:
The answer is 28.
Step-by-step explanation:
Ok.
☆7x and 3x + 16 are congruent, meaning they equal the same.
☆Since they are equal, we can make an equation out of then.
7x = 3x + 16
☆Then we just solve.
\( \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4\)
☆Therefore, x equals 4.
☆We are solving for m<KJL so all we need to do is plug in.
\(7x \\ 7(4) \\ 28\)
☆You answer is 28.
The required angle is 28°
What is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.
Given here ∠KJL=7x and ∠LJM=3x+16
now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras theorem JL²=KL²+JK² & JL²=JM²+LM²
Thus KL²+JK² = JM²+LM²
⇒ JK=JM
Thus by the SSS criterion, we can conclude that the triangles are congruent.
therefore by CPCT 7x=3x+16
4x=16
x=4
so the required angle is 7×4 =28°
Hence, ∠KJL=28°
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The continuous random variable X has a probability density function (pdf) given by f(x) Şi- & for 0 < x < 2 lo otherwise Part(a) Find the median of X, correct to 2 decimal places. 0.59 Part(b) Find P(X >>). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than 2. The order in which we take observations matters. 0.25 Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find E(X), correct to 2 decimal places. 0.75 Part(f) Find the value of q such that P(X
The median of X is 1; P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and the value of q such that P(X < q) = 0.95 is 1.9.
(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.
Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.
For 0 < x < 2, the CDF is:
F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x
Setting (1/2) * x = 0.5 and solving for x:
(1/2) * x = 0.5; x = 1
Therefore, the median of X is 1.
(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.
For x > 2, the PDF is 0, so P(X > x) = 0.
Therefore, P(X > 2) = 0.
(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.
P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)
Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.
Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.
(d) The variance of X can be calculated using the formula:
Var(X) = E(X²) - [E(X)]²
To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:
E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3
To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:
E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Now we can calculate the variance:
Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33
Therefore, Var(X) is approximately 0.33.
(e) The expected value of X, E(X), is given by:
E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Therefore, E(X) is 1.
(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:
∫(0 to q) f(x) dx = 0.95
Since the PDF is constant at 1/2 for 0 < x < 2, we have:
(1/2) * (x) | (0 to q) = 0.95
(1/2) * q = 0.95
q = 0.95 * 2 = 1.9
Therefore, the value of q such that P(X < q) = 0.95 is 1.9.
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Which method is best for root finding?
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
Let f(x)=x^2+4 and g(x)= x−2 . Find the domain of f∘g(x) [4,[infinity]) [2,[infinity]) [3,[infinity]) (−[infinity],[infinity])
The domain of f∘g(x), which represents the composition of functions f and g, is [2, ∞).
To find the domain of f∘g(x), we need to consider two things: the domain of g(x) and the range of g(x) that satisfies the domain of f(x).
First, let's determine the domain of g(x), which is the set of all possible values for x in g(x)=x−2. Since there are no restrictions or limitations on the variable x in this equation, the domain of g(x) is (-∞, ∞), which means any real number can be substituted for x.
Next, we need to find the range of g(x) that satisfies the domain of f(x)=x^2+4. In other words, we need to determine the values of g(x) that we can substitute into f(x) without encountering any undefined operations. Since f(x) involves squaring the input value, we need to ensure that g(x) doesn't produce a negative value that could result in a square root of a negative number.
The lowest value g(x) can take is 2−2=0, which is a non-negative number. Therefore, any value greater than or equal to 2 will satisfy the domain of f(x). Hence, the range of g(x) that satisfies the domain of f(x) is [2, ∞).
Thus, the domain of f∘g(x) is [2, ∞).
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What is the least number which is exactly divisible by 76 and 57
Answer:
228
Step-by-step explanation:
Your phrasing is a little bit confusing but I'll assume that you're looking for the Least Common Multiple.
Brenda’s restaurant bill comes to $58.45 find the total cost if the tax is 8.25% and a 20% tip is left on the amount before tax.
Brenda's total cost at restaurant is $74.96
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Brenda's bill before tax and tip is equal to $58.45
A tip of 20% on the bill before tax is given.
Hence, tip value = 20% of $58.45
= $(20×58.45)/100
= $11.69
Tax levied is 8.25% on bill.
Hence, tax amount = 8.25% of $58.45
= $(8.25×58.45)/100
= $4.82
Hence, total bill is equal to the sum of the original bill with the tip along with tax levied, which is equal to
$(58.45+11.69+4.82)
= $74.96
Brenda's total cost at restaurant is $74.96
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what are the X and Y intercepts of f(x)=-√x
Answer:
The function intercepts the x and y axis in the same spot, namely (0,0)
what is the domain and range
The domain is [-1, ∞)
The range is [2, ∞)
What is the domain and range?Here we have the function:
m(x) = √(x + 1) + 2
Remember that we can't evaluate something smaller than zero in a square root, then if:
x + 1 = 0
x = -1
The domain is the set [-1, ∞)
Now the square root is increasing, and its minimum is at zero when x = -1, then the minimum of the range is the costant term y = 2.
The range is [2, ∞)
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n =24 2n+10 ???.?.?.?.?.?.?.?.?
Answer:
n = - 10/47
Step-by-step explanation:
n= 24 * 2n +10
n= 48n + 10
n - 48n = 48n +10 - 48
-48n = 10
n= - 10/47
Answer:
2n + 10 = 58
Step-by-step explanation:
2n + 10 =
Substitute 24 for n
2(24) + 10
multiply 24 by 2
48 + 10
add them up
58
The final answer is 58
I hope it helps! Have a great day!
when studying the characteristics of a large private university, we find the average act score for all incoming freshman at that university is 27. the number 27 is a .
The number 27 they found for all incoming freshmen at the university is a parameter. It's a parameter because it's a number that states the entire population of all incoming freshmen.
What is Parameter?
Parameter itself is a useful component of statistical analysis because parameter is a number that describes a whole population, while statistic is numbers that describe a samples. For example, you want to know the average length of frog tongue. This is a parameter because it is states something about the entire population of frog. The most commonly used parameters are the measures of central tendency. These measures include:
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Anh's math book costs $26.62 less than her art book cost. Her math book costs $83.38. How much did her art book cost
PLEASE HELP MEEEEEEE FAST PLEASEEE IM REALLY DESPERATE SORRY BUT PLEASE
Answer:
$110
Step-by-step explanation:
If her art book costs $26.62 less than her math book, and her math book costs $83.38, then all you have to do is add 26.62 to 83.28. Then the answer would be 110.
Solve inequality 5-3(4x-5)<32
Answer: x > -1
Step-by-step explanation:
1) Subtract 5 from both sides
-3(4x - 5) < 27
2) Divide both sides by -3 (Remember to change the inequality sign to face the other way, because you have multiplied/divided by a negative number)
4x - 5 > -9
3) Add 5 to both sides
4x > -4
4) Divide by 4 on both sides
x > -1
A packaging company needs to send 395 calculators to one of its branch offices. If they pack 8 calculators in each box,calculate how many boxes they will need.
Based on the information given in the equation, it should be noted that the number of boxes needed will be 50.
How to solve and equationLet the number of boxes needed be x.
From the information given, it was stated that the packaging company needs to send 395 calculators to one of its branch offices and they pack 8 calculators in each box.
Therefore, the number of boxes will be:
x = 395/8
x = 49.375
Therefore, 50 boxes will be needed.
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Find the missing side lengths. Leave your answer as radicals in simplest form.
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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