Answer:
x = -3
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
4 ( 2x - 1 ) = 3x - 19
→ Expand the brackets
8x - 4 = 3x - 19
→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side
5x - 4 = -19
→ Add -4 to both sides to isolate 5x
5x = -15
→ Divide both sides by 5 to isolate x and therefore find the value of x
x = -3
→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then x = -3 is correct.
4 ( 2x - 1 ) = 3x - 19
8x - 4 = 3x - 19
( 8 × -3 ) - 4 = ( 3 × -3 ) - 19
-24 - 4 = - 9 - 19
-28 = -28
So x = -3 is correct
let u = (1, 2, 3), v = (2, 2, −1), and w = (4, 0, −4). find 4u 5v − w.
The answer for 4u 5v − w is (14, 18, 3) is found using scalar multiplication.
Values given in the question are as follows:
u = (1, 2, 3),
v = (2, 2, −1), and
w = (4, 0, −4)
To find 4u 5v − w, we first need to perform scalar multiplication on u and v, and then subtract w from the resulting vector.
Scalar multiplication of a vector involves multiplying each component of the vector by a scalar.
For example, if we have a vector v = (x, y, z) and a scalar k, then the scalar multiplication kv would result in the vector (kx, ky, kz).
Using this concept, we can find 4u as follows:
4u = 4(1, 2, 3) = (4*1, 4*2, 4*3) = (4, 8, 12)
Similarly, we can find 5v as follows:
5v = 5(2, 2, -1) = (5*2, 5*2, -5) = (10, 10, -5)
Now that we have found both 4u and 5v vectors, we can subtract w from their sum to get the final result:
4u 5v − w = (4, 8, 12) + (10, 10, -5) - (4, 0, -4)
= (14, 18, 3)
Therefore, the answer is (14, 18, 3).
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Find the y-intercept and x-intercept of the line. 4x-2y=-8
Answer:
y intercept is at 4, and x intercept at -2
Step-by-step explanation:
4x-2y=-8,
→The y-intercept is where the graph intersects the y axis so the x coordinate there is 0.
We substitute x= 0 in the 4x-2y=-8 and find y
4*0 -2y = -8, multiply
-2y = -8, divide both sides by -2
y = 4
→The x-intercept is where the graph intersects the x-axis so the y coordinate there is 0.
We substitute y = 0 in the 4x-2y=-8 and find x
4x -2*0 = -8, multiply
4x = -8, divide both sides by 4
x = -2
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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Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
the answer is -3m - 15 .
hope it helps you
how do you redue 84 if possible
Answer:
The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution
Step-by-step explanation:
Help pls yall i will give brainliest
A taxicab charges $1. 75 for the flat fee and $0. 25 for each mile. Write an inequality to determine how many miles Eddie can travel if he has $15 to spend. $1. 75 + $0. 25x ≤ $15
$1. 75 + $0. 25x ≥ $15
$0. 25 + $1. 75x ≤ $15
$0. 25 + $1. 75x ≥ $15
The inequality ensures that Eddie does not exceed his budget of $15
The correct inequality to find how many miles Eddie can travel if he has $15 to spend is $1.75 + $0.25x ≤ $15 where x represents the number of miles Eddie can travel.
This is a inequality can be solved by subtracting $1.75 from both sides and then dividing by $0.25 and giving,
$0.25x ≤ $13.25 x ≤ 53
So, Eddie can travel up to 53 miles if he has $15 to spend on the taxicab, including the flat fee of $1.75 and the additional $0.25 charge per mile.
Hence, this inequality ensures that Eddie does not exceed his budget of $15.
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What is the answer to
-k - (-8k)
Answer:
if we simplify then the answer is 7k
Step-by-step explanation:
can someone please answer my question from my profile.
Answer:
7k
Step-by-step explanation:
Katie is travelling in the United Kingdom and finds that she can buy a liter of her
favorite juice for the same price as she can buy a pint in the United States. Which
one is the better deal?
Answer:
Katie Price broke the law by travelling with her seven-year-old son Jett on her lap on a 60mph road.
Step-by-step explanation:
MailOnline has published pictures of Katie holding onto Jett in the front passengers’ seat.
Find Angle A. Round to the hundredth.
The angle A is equal to 59.00° to the nearest hundredth using the trigonometric ratio of sine
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
We use the trigonometric ratio of sine of the angle A, so that we make A the subject by finding the sine inverse of the fraction of the opposite side and the hypotenuse as follows:
sin A = 12/14
sin A = 6/7
A = sin⁻¹(6/7)
A = 58.9973
Therefore, the angle A is equal to 59.00° to the nearest hundredth using the trigonometric ratio of sine
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The sum of two numbers is 35 if one number is 4 times the second number find the numbers.
Answer: 28 and 7
7 x 4 = 28
28 + 7= 35
One way to compute a 20% tip for a bill is to multiply it by 0.20. A restaurant bill was $35.70. Calculate the tip.
Answer:
7.14
Step-by-step explanation:
Answer:
7.14
Step-by-step explanation: I just did the assignment so yea its the correct answer :)
6x^3-x^2 +17 = 2x^2 + 47
Answer:
Solve the rational equation by combining expressions and isolating the variable x
.
x≈1.89393154
Step-by-step explanation:
please mark brainly
please help me solve this
Step-by-step explanation:
it is very easy to solve if u follow me i will solve it because it is very important for u
Find the set of solutions for the linear system
x₁ - 3x₂ + 3x₃ = -9
- x₂ - 4x₃ = -10
- 2x₃ = -2
Use s1, s2, etc. for the free variables if necessary.
The given system of linear equations is:x₁ - 3x₂ + 3x₃ = -9- x₂ - 4x₃ = -10- 2x₃ = -2. The above linear system of equations has a set of solutions as (0 - 3s1 - 2s2, -6 + 4s1 + s2, 1): s1, s2
Let us solve each of the equations in order: For the third equation, we have- 2x₃ = -2⟹ x₃ = 1
For the second equation, we have- x₂ - 4x₃ = -10⟹ x₂ - 4(1) = -10⟹ x₂ = -6
For the first equation, we have:x₁ - 3x₂ + 3x₃ = -9⟹ x₁ - 3(-6) + 3(1) = -9⟹ x₁ = 0 Let s1, s2, etc. denote the free variables. Thus, we can express the solutions as:x₁ = 0 - 3s₁ - 2s₂x₂ = -6 + 4s₁ + s₂x₃ = 1
The set of solutions of the given linear system of equations is{(0 - 3s₁ - 2s₂, -6 + 4s₁ + s₂, 1) : s₁, s₂ ∈ ℝ}
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A farmer bought a goat for#34 and a ram for #72. Find the total sum of the animals
The total sum of the goat and the ram is #106.
To find the total sum of the animals, we need to add the cost of the goat and the cost of the ram together.
Given:
Cost of the goat = #34
Cost of the ram = #72
To find the total sum, we add the two costs together:
Total sum = Cost of the goat + Cost of the ram
Total sum = #34 + #72
To add these amounts, we align the digits and perform the addition:
#34
+ #72
------
#106
Therefore, the total sum of the goat and the ram is #106.
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determine whether the reasoning is an example of deductive or inductive reasoning. if you build it, they will come. you build it. therefore, they will come.
The reasoning provided, "If you build it, they will come. You build it. Therefore, they will come," is an example of deductive reasoning.
Deductive reasoning is a logical process that involves drawing specific conclusions based on general principles, premises, or known facts. In this example, the premise is "If you build it, they will come," which establishes a cause-and-effect relationship. The subsequent statement, "You build it," serves as a confirmation of the premise. From these premises, the conclusion is drawn: "Therefore, they will come." The conclusion logically follows from the premises, making it an example of deductive reasoning.
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Let f(x)=−x√3.
What is the average rate of change of f(x) from 8 to 64?
-1/28 is the average rate of change of f(x) from 8 to 64. Thus, option A is correct.
The f(x) function of the
f(x)=−\(\sqrt[3]{x}\)
the range is provided to lie between 8 and 64.
The function for 8 will be:
f(8) =−\(\sqrt[3]{8\\}\)
= -2
The function for 64 will be:
f (64) =−\(\sqrt[3]{64\\}\)
= - 4
The average is usually determined with the help of the intervals that are given:
The average function of (64,f(64)) and (8,f(8)); will be calculated as:
f = \(\frac{-4 - (-2)}{64 - 8}\)
= -2 / 56
= -1 / 28
Therefore, option A is correct.
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The question is incomplete, Complete question probably will be is:
Let f(x)=−x√3.
What is the average rate of change of f(x) from 8 to 64?
−1/28
1/28
−28
28
You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?
Answer:
40
Step-by-step explanation:
so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea
The graph and table show the ratio of pencils to erasers in various school supply sets. If Eva buys a set that contains 10 erasers, how many pencils are expected to be in her set? 2 5 40 50
Answer:
it is 50 :)
Step-by-step explanation:
im taking the review on edg and i got it right
Answer:
The answer is 50. Edge 2022
Step-by-step explanation:
If you trace the way the points move you can find out it is 50.
The angle of elevation to a nearby tree from a point on the ground is measured to be
44º. How tall is the tree if the point on the ground is 51 feet from the tree? Round
your answer to the nearest hundredth of a foot if necessary.
Answer: the tree is 49.25
Step-by-step explanation:
The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
For this case, referring to the attached figure below, we get:
Angle of elevation =∠ACB=44°
Distance of the base of the tree from the point of the ground = 51 feet
Height of the considered tree = h feet (assume).
Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.
Then, using the tangent ratio from the perspective of angle ACB, we get:
tan44°= h/51
h= 0.9657×51
h= 49.2507 feet
Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
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Solve for the expression. What is the value of q?
5q + 23 = 178
Answer:
q=31
Step-by-step explanation:
5q = 178-23
5q = 155
q = 31
Answer:
31
Step-by-step explanation:
178-23=155
155/5= 31
describe a linear program whose solution describes the largest axis-aligned square that lies entirely inside p.
To describe a linear program for finding the largest axis-aligned square that lies entirely inside a polygon (p), we can define the decision variables, objective function, and constraints as follows:
Decision Variables:
Let x be the side length of the square.
Objective Function:
Maximize x. The objective is to find the largest possible side length for the square.
Constraints:
Square Within Polygon Constraint:
For each vertex (xᵢ, yᵢ) of the polygon p, we can define the following set of inequalities:
xᵢ ≤ x, for all vertices of the polygon.
These inequalities ensure that the square lies entirely within the polygon.
Square Symmetry Constraint:
To ensure that the square is axis-aligned, we can impose symmetry constraints. For example, if the coordinates of the center of the square are (c_x, c_y), then we can add the following constraints:
c_x ± (x/2) = constant, for fixed values of c_x.
c_y ± (x/2) = constant, for fixed values of c_y.
These constraints ensure that the sides of the square are parallel to the x and y axes.
Non-Negative Constraint:
x ≥ 0, to ensure a non-negative side length for the square.
By formulating and solving this linear program, we can find the optimal value for x, which represents the largest axis-aligned square that lies entirely within the given polygon p.
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Help! pls
11. The partial solution to a system of equations below contains an error. Find and correct the mistake to find the correct value of y.
2x + 2y = 4
x + 4y = 14
Answer:
Step-by-step explanation:
2x + 2y = 4
-2x - 8y = -28
-6y = -24
y = 4
2x + 2(4) = 4
2x + 8 = 4
2x = -4
x = -2
(-2, 4)
Find the Taylor Polynomial of degree 2 for f(x) = sin(x) around x-0. 8. Find the MeLaurin Series for f(x) = xe 2x. Then find its radius and interval of convergence.
The Taylor polynomial of degree 2 for f(x) = sin(x) around x = 0 is P2(x) = x. The Maclaurin series for f(x) = xe^2x is x^2. Therefore, the Maclaurin series for f(x) = xe^2x converges for all values of x, and its radius of convergence is infinite. The interval of convergence is (-∞, +∞).
To find the Taylor polynomial of degree 2 for f(x) = sin(x) around x = 0, we can use the Taylor series expansion formula, which states that the nth-degree Taylor polynomial is given by:
Pn(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)^2 + ... + (f^n(a)/n!)(x - a)^n
In this case, a = 0 and f(x) = sin(x). We can then evaluate f(a) = sin(0) = 0, f'(a) = cos(0) = 1, and f''(a) = -sin(0) = 0. Substituting these values into the Taylor polynomial formula, we get:
P2(x) = 0 + 1(x - 0) + (0/2!)(x - 0)^2 = x
Therefore, the Taylor polynomial of degree 2 for f(x) = sin(x) around x = 0 is P2(x) = x.
Moving on to the Maclaurin series for f(x) = xe^2x, we need to find the successive derivatives of the function and evaluate them at x = 0.
Taking derivatives, we get f'(x) = e^2x(1 + 2x), f''(x) = e^2x(2 + 4x + 2x^2), f'''(x) = e^2x(4 + 12x + 6x^2 + 2x^3), and so on.
Evaluating these derivatives at x = 0, we find f(0) = 0, f'(0) = 0, f''(0) = 2, f'''(0) = 0, and so on. Therefore, the Maclaurin series for f(x) = xe^2x is:
f(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3! + ...
Simplifying, we have:
f(x) = 0 + 0x + 2x^2/2! + 0x^3/3! + ...
Which further simplifies to:
f(x) = x^2
The Maclaurin series for f(x) = xe^2x is x^2.
To find the radius and interval of convergence of the Maclaurin series, we can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges if L < 1, diverges if L > 1, and the test is inconclusive if L = 1.
In this case, the ratio of consecutive terms is |(x^(n+1))/n!| / |(x^n)/(n-1)!| = |x/(n+1)|.
Taking the limit as n approaches infinity, we find that the limit is |x/∞| = 0, which is less than 1 for all values of x.
Therefore, the Maclaurin series for f(x) = xe^2x converges for all values of x, and its radius of convergence is infinite. The interval of convergence is (-∞, +∞).
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an arithmetic sequence $2,5,8, 11, 14,\ldots$ is written in order in a book, one hundred numbers per page, beginning on page one. on which page will the number $11{,}111$ appear?
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is always the same. In this case, the common difference is 3, so every term is 3 more than the previous term.
The \($n^{th}$\) term in the arithmetic sequence can be found using
\($a_n = a_1 + (n - 1)d$\)
where $a_1$ is the first term (2 in this case), $d$ is the common difference (3 in this case), and $n$ is the term number.
To find the page number that $11{,}111$ appears on, we need to find the term number that corresponds to this value:
\($11{,}111 = 2 + (n - 1) \cdot 3$\)
Solving for $n$, we have:
$11{,}109 = 3n - 1$
$3n = 11{,}110$
$n = 37{,}037$
Since each page contains 100 numbers, the number 11,111 appears on page $\left\lceil \frac{37{,}037}{100} \right\rceil = 371$.
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The formula F =( 9)/(5)C + 32 can be used to convert between temperatures in degrees Fahrenheit and degrees Celsius. What is 75 degrees Fahrenheit in degrees Celsius?
To convert 75 degrees Fahrenheit to degrees Celsius using the given formula F = (9/5)C + 32, we can determine the equivalent temperature in Celsius by rearranging the formula and substituting the Fahrenheit value.
The formula F = (9/5)C + 32 represents the relationship between Fahrenheit (F) and Celsius (C) temperatures. To convert Fahrenheit to Celsius, we need to rearrange the formula and solve for C. Let's start with the given Fahrenheit value of 75. We substitute this value into the formula:
75 = (9/5)C + 32
To isolate C, we can first subtract 32 from both sides of the equation:
75 - 32 = (9/5)C
43 = (9/5)C
Next, we can multiply both sides by 5/9 to solve for C:
(5/9)(43) = C
Therefore, 75 degrees Fahrenheit is equivalent to approximately 23.9 degrees Celsius.
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Pls help me this is very hard
Answer:
The shape has 8 vertices
Step-by-step explanation:
You would be able to solve this by counting the points of the shape.
Hope this helps :)
mildred wanted to do a study of recycling club members employing a random sample. there is no master list of recycling club members in the us. she has only enough money to study 70 clubs. what would be the best design to use?
Mildred needs to ensure that the selected clusters are representative of the population and use appropriate statistical techniques to analyze the data collected from the selected clusters.
Step-by-step explanation:
Since there is no master list of recycling club members in the US, Mildred can use cluster sampling as the best design to study the recycling club members.
Cluster sampling involves dividing the population into clusters or groups, and then randomly selecting some clusters from the population for the study. In this case, Mildred can divide the US into regions or states, and then randomly select some states or regions for the study. Then, she can select all the recycling clubs in the selected states or regions for the study.
Using cluster sampling has several advantages:
It is cost-effective as Mildred can study only a smaller number of clusters instead of the whole population.
It can be more convenient and efficient, especially when the population is dispersed or hard to access.
It allows for a more representative sample as each cluster is expected to represent the larger population.
However, there are also some disadvantages to using cluster sampling:
It may increase sampling error or bias, especially if the selected clusters are not representative of the population.
It can be more complex and time-consuming to analyze data collected from cluster sampling.
Therefore, Mildred needs to ensure that the selected clusters are representative of the population and use appropriate statistical techniques to analyze the data collected from the selected clusters.
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Is this true or false?
Answer:
true
Step-by-step explanation: