Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choices are :
the dependent variable is y the rate of change is not constant independent variable is x This is a negative relationship The relationship is nonlinearRelated Questions
Henry used these steps to solve an equation:
Step 1: -3(x + 2) = 5(x-7)
Step 2:
-3x6 = 5x
35
Step 3:
-82 – 6 = -35
-
Step 4:
-8x
-29
Step 5:
Between which two steps did Henry apply the distributive property?
steps 1 and 2
Osteps 2 and 3
Osteps 3 and 4
steps 4 and 5
x=
200
Submit
-
Answers
Answer: Henry applied the distributive property between steps one and two
Step-by-step explanation:
Calculate the l4 approximation for f(x) = cos2(x) on 8 , 2 . (round your answer to four decimal places.) l4 =
Answers
The solution for l4 is mathematically given as
L_{4}=0.5431
What is the solution for l4?\(&\text { Given } f(x)=a \cos ^{2}(x) \quad\left[\frac{\pi}{8}, \frac{\pi}{2}\right] \text { \& } n=4\\\\&\Delta a=\frac{b-a}{n}=\frac{\pi / 2-\pi / 8}{9}=\frac{3 \pi}{32}\\\\&x_{0}=\pi / 8, x_{1}=\frac{\pi}{8}+\frac{3 \pi}{32}=\frac{7 \pi}{32}\\\\&x_{2}=\frac{5 \pi}{16}, \quad x_{3}=\frac{13 \pi}{32}, x_{4}=\pi / 2\\\\&f\left(x_{0}\right)=f(1 / 8)=0.8535\\\)
\(&f\left(x_{1}\right)=f\left(\frac{7 \pi}{32}\right)=0.5975\\\\\&f\left(x_{2}\right)=f\left(\frac{5 \pi}{16}\right)=0.3086\\\\\&f\left(a_{3}\right)=f\left(\frac{13 \pi}{32}\right)=0.0842\\\\\&L_{4}=\sum_{k_{0}^{=0}}^{3} f\left(x_{k}\right) \Delta x\\\\&=\Delta \\\\x\left[f\left(x_{0}\right)+f\left(x_{1}\right)+f\left(x_{2}\right)+f\left(x_{3}\right)\right]\\\\\&=\frac{3 \pi}{32}[0.8535+0.5975+0.3056+0.0842]\\\\&L_{4}=0.5431\)
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CQ
The complete Question is attached below
Ed has some money. He spends £7.50 on a shirt and now has one-third of what he started with.
Let x be the amount of money he started within pounds.
Form an equation to represent this situation.
Answers
Answer:
x- 7.50 i think i hope i helped
Step-by-step explanation: there no explanation
let's pretend you own a shoe store in 5 points. you want to create a graph showing the number of sneakers sold by brand for the month. the best choice of a graph would be a
Answers
Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.
A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.
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Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?
The graph shows a curve with an end point at 2 comma 3 that increasing to the right
The graph shows a curve with an end point at 3 comma 2 that increasing to the right
The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right
The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right
Answers
The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The given equation of the function is;
\(y = -(x+2)^{1/3}+5\)
Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.
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Answer:
The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).
The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).
Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.
The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.
Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.
When performing a statistical test, such as the Chi-Square test, what p-value indicates that the data differ significantly from that expected if the null hypothesis is true?
Answers
When performing a statistical test, such as the Chi-Square test, the p-value is a crucial component in determining the significance of the data compared to the null hypothesis. The p-value represents the probability of observing the given data, or more extreme results, assuming the null hypothesis is true. In general, a p-value threshold of 0.05 is used to determine statistical significance.
If the calculated p-value is less than or equal to 0.05, it indicates that the observed data significantly differ from what is expected under the null hypothesis. This means that there is a less than 5% chance of obtaining the observed data if the null hypothesis were true. Consequently, researchers often reject the null hypothesis in favor of the alternative hypothesis when the p-value is less than or equal to 0.05.
However, it is essential to note that the choice of the significance level is subjective and may vary depending on the field or specific study. In some cases, a more stringent threshold, such as 0.01, might be required to minimize the chances of false positives, while in other situations, a more lenient threshold, such as 0.10, may be acceptable.
In summary, a p-value of 0.05 or less typically indicates that the data differ significantly from what is expected under the null hypothesis in a statistical test like the Chi-Square test. However, the chosen threshold for significance may vary depending on the specific context and research objectives.
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hi, I need help plz
Answers
Answer:
TABLE 1:
88
80
65
57
50
41
45
28
14
4
TABLE 2:
176
164
132
108
90
81
60
28
11
2
Step-by-step explanation:
When two angles are complementary they add up to 90 degrees
so for example if angle 1 is 2 angle two must equal 88 (they have to add up to 90)
When two angles are supplementary they must add up to 180 (so it's the same process as table 1 but instead of adding to 90 it's 180)
Answer:
m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4
m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2
Step-by-step explanation:
complementary means they add up to 90°
m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4
supplementary means they add up to 180°
m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2
Marshall modeled the distance, y, that swimmers traveled during a race as a
function of time, x, that they swam. Which would best describe the domain of
this function?
Answers
The domain of the function modeling the distance swam by a swimmer as a function of time would be all positive real numbers greater than or equal to zero, representing the time spent swimming in the race.
This is because the time spent swimming in a race cannot be negative and must be greater than or equal to zero, which represents the start of the race. The domain of a function defines the set of all possible input values (in this case, time) for which the function produces a valid output (distance). In this case, the domain would be all positive real numbers greater than or equal to zero, since these are the only valid input values that can be used to calculate the distance swam by a swimmer during a race.
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Factor 12+54. Write your answer in the form a(b+c) where a is the GCF of 12 and 54
Answers
For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).
In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3
54 = 2×3 ×3×3
The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9
Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).
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A veterinarian clinic, there are twice as many dogs as there cats. If the total number of dogs and cats is 57, how many are dogs and how many are cats?
Answers
Answer: There are 19 cats and 38 dogs.
Step-by-step explanation:
Given, A veterinarian clinic, there are twice as many dogs as there cats.
Let x = Number of cats
then, number of dogs = 2x
Since , total number of dogs and cats = 57
So, x+ 2x= 57
\(\Rightarrow\ 3x= 57\)
Divide both sides by 3 , we get
\(x=\dfrac{57}{3}=19\)
\(\Rightarrow\ x= 19\)
Number of cats =19
then, number of dogs = 2(19) = 38
hence, there are 19 cats and 38 dogs.
Answer: 19 cats and 38 dogs
Step-by-step explanation:
hope this helps
A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time
Answers
Answer:22$
Step-by-step explanation:
2x8.50 = 17+5 = 22$
How long do they bowl
What happens to the critical value for a chi-square test if the sample size is increased?
Answers
The critical value for chi-square test decreases as the size of the sample increases.
As sample size increases, absolute differences become a smaller and smaller proportion of the expected value
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Use the diagram to find the measure of angle 2
Answers
The measure of angle 2 is 75°
From the question, we have
∠1= 105°
∠2= 180°- 105° (Linear pair)
∠2=75°
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Find the real distance between towns X and Y measuring
11.2 cm apart on a map with scale 1: 100,000.
Answers
The real distance between towns X and Y measuring 11.2 cm apart on a map with a scale 1: 100,000 is 11.2 km.
Given the scale = 1: 100,000, which means that 1 cm on the map represents 100,000. Thus, 11.2 cm on the map represents 11.2* 100,000 = 1,120,000cm.
We know that 1 km = 100,000cm
Therefore 1,120,000 cm = 1,120,000/100,000
= 11.2 km
Therefore, the real distance between towns X and Y is 11.2km.
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Express 24 inches to 6 feet in simplest form.
Answers
Answer:
no
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) = ÷x
Answers
Answer:
\(h(x) = \frac{1}{4} x\)
Step-by-step explanation:
\(f(x) = 4x\)
\(y = 4x\)
\(x = 4y\)
\(4y = x\)
\(y = \frac{1}{4} x\)
\(\boxed{\green{h(x) = \frac{1}{4} x}}\)
Write an expression that is equivalent to .........
Answers
Answer:
Step-by-step explanation:
1/3x+2/3x-2/3x: x equasion
3/4+(-1/4)
1/3x + 2/4(or 1/2)
1/3x+1/2
(note that positive 2/3 and -2/3 cancel out)
what is the median of this distribution ?
Answers
Answer:
The median of a distribution, denoted as xmed, is defined as the value of x such that are equal probabilities of getting a larger value and getting a smaller value than xmed. In other words, P(xmed)=0.5.Step-by-step explanation:
Given: measure of angle P=72°, measure of angle S=36°, and RM=16, find OP
please help thanks!
Answers
OP measures about 32.55 in length.
In the given figure, let's draw a line segment OR perpendicular to PS passing through point P. This divides angle P into two angles, with measure 36° each, and creates a right triangle OPR with angle measure 72°. Therefore, the measure of angle POR is 180° - 72° - 36° = 72°.
Using trigonometry, we can write:
tan 72° = OP/16
Solving for OP, we get:
OP = 16 tan 72°
Using a calculator, we get:
OP ≈ 32.55
Therefore, the length of OP is approximately 32.55.
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Someone please help me with this ASAP! I will mark brainliest if right! Explain
Answers
Answer:
5.4
hope it helps....
please mark Brainliest
Need as soon as possible please
Answers
Answer:
Just graph, first one Y int: 2 and X is rise over run 1 and 2
Step-by-step explanation:
how many lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed? choose all that apply.
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The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.
What is combination?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
here, we have,
Given data:
{1 ,2, 3 ,4, 5}
Formula for combinations is used since the order does not matter and repetition is allowed.
nCr = (n + r -1) /(r! * (n-1)!)
where n is the total number of items and r is the items to be picked
now, we get,
5C3 = (5 + 3 - 1)! /(3! * (5 -1)!
5C3 = 7!/(3! *4!) Simplifying the factorials)
5C3 = 5040/(6*24)
5C3 =5040/144
5C3 = 35
Hence, The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.
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An herbal medicine brand contains amounts of the active ingredient (in milligrams, mg) that vary normally from capsule to capsule. A quality control engineer assesses whether capsules of this brand contain different amounts, on average, than the marketed amount of 10 mg. A random sample of 30 capsules finds a mean content of 9.25 mg per capsule. Assume that active ingredient for this medicine brand is approximately Normal with a standard deviation of 0.65mg significane level.
Required:
Which are the appropriate null and alternative hypotheses?
Answers
Null hypothesis assumes there is no significant difference between mean amount of active ingredient in capsules and marketed amount of 10 mg.
Alternative hypothesis there is a significant difference, either higher or lower, between the mean amount and the marketed amount.
The appropriate null and alternative hypotheses for assessing whether the capsules of the herbal medicine brand contain different amounts,
on average, than the marketed amount of 10 mg are as follows,
Null Hypothesis H₀,
The mean content of the capsules is equal to the marketed amount of 10 mg.
Alternative Hypothesis Hₐ,
The mean content of the capsules is different from the marketed amount of 10 mg.
Symbolically, the hypotheses can be written as
H₀: μ = 10
Hₐ: μ ≠ 10
Therefore, the null hypothesis states that the mean content of the capsules is equal to 10 mg,
while the alternative hypothesis states that the mean content of the capsules is not equal to 10 mg.
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4 bottles of water cost 10 dollars at a music festival.
Based on the ratio, how much does 3 bottles of water cost?
Answers
Answer:
7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
If n is an integer, which of these functions generate the sequence?
Answers
Answer:
B
Step-by-step explanation:
Using the information for choice B, this is what can be done.
For n = 2, 32\((\frac{1}{2})^{2}\) = 8
In the sequence, 8 is the first sequence number.
Put a lid on it! The supplier is considering two changes to reduce to 1% the
percentage of its large-cup lids that are too small. One strategy is to adjust the
mean diameter of its lids. Another option is to alter the production process,
thereby decreasing the standard deviation of the lid diameters,
a. If the standard deviation remains at o = 0.02 inch, at what value should the
supplier set the mean diameter of its large-cup lids so that only 1% are too
small to fit?
b. If the mean diameter stays at = 3.98 inches, what value of the standard
deviation will result in only 1% of lids that are too small to fit?
c. Which of the two options in parts (a) and (b) do you think is preferable? Justify
your answer. (Be sure to consider the effect of these changes on the percent of
lids that are too large to fit.)
Answers
Answer:
A) 3.996 inches
B) 0.01
C) option B
Step-by-step explanation:
Note: The diameter of the lid is between : 3.95 and 4.05
A) calculate the supplier set mean diameter
std = 0.02 inch
P( x < 3.95 ) = 1% = 0.01
= P ( Z < \((\frac{3.95 - u }{0.02})\) ) = P ( Z < -2.3263 ) = 0.01
therefore :
\((\frac{3.95 - u }{0.02})\) = -2.3263
hence : u = 3.996 inches ( mean diameter )
B) At mean diameter = 3.98 calculate the value of std
P ( X < 3.95 ) = 0.01
= P ( Z < \(( \frac{3.95-3.98 }{std } )\) ) = P ( Z < -2.3263 ) = 0.01
therefore
\(( \frac{3.95-3.98 }{std } )\) = -2.3263
hence std = 0.01 inch
C) option B is preferable because its mean diameter is smaller and the percent of lids too large to fit is considered more carefully using option B
A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1 465
2 769
3 835
4 912
Answers
\(\huge\tt\pink{Answer}\)
A≈852.83cm²
Radius
7cm
Height
31cm
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?
Answers
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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A camper attaches a rope from the top of her tent, feet above the ground, to give it more support. If the rope is feet long, about how far will the stake need to be from the middle of her tent?
Answers
Given that
The height of the tent is 4 feet and the length of the rope is 8 feet.
We have to find the distance of the rope from the tent.
Explanation -
The given diagram is
Here the given diagram is making a right-angled triangle.
So we will use the Pythagoras theorem to find the required length.
The Pythagoras theorem is given as
\(\begin{gathered} H^2=P^2+B^2 \\ \\ where\text{ H = hypotenuse, B = base, and P = perpendicular} \end{gathered}\)Here Hypotenuse = H = 8 feet, Base = B = ?, and Perpendicular = P = 4 feet.
Then,
\(\begin{gathered} 8^2=4^2+B^2 \\ B^2=8^2-4^2=64-16 \\ B^2=48 \\ B=\sqrt{48} \\ B=\sqrt{2\times2\times2\times2\times3} \\ B=2\times2\times\sqrt{3} \\ B=4\sqrt{3}\text{ feet} \\ \\ As\text{ }\sqrt{3}=1.732 \\ \\ B=4\times1.732\text{ feet} \\ B=6.928\text{ feet} \end{gathered}\)So the required distance will be 6.928 feet.
Hence, C is the correct option.
Final answer -
Therefore the final answer is 6.928
HELP ME!!! Why is it possible to isolate the variable, x, in the equation 2x = 20 by using either the division property of equality or the multiplication property of equality?
Answers
Answer: Because division is the inverse of multiplication.
Step-by-step explanation:
By multiplying the equation 2x=20 by 1/2 you will be able to eliminate the x variable,
For example,
1/2 * 2x = 20*1/2
x= 10
The same way if you divide both sides of the equation 2x=20 by 2 you will be able to to eliminate the x variable.
For example
2x = 20 Divide both sides by 2
x= 10
As you can see 2 is the division inverse of 1/2.