Answer:
A) is the answer
Step-by-step explanation:
9.6
Identification. Read carefully the following statements. Provide the best word that describes each statement. 1. This pattem in nature are also exhibited in the external appearances of the animals. 2. This kind of pattern is exhibited by objects when their similar parts are regularly arranged around a central axis and the pattern looks the same after a certain amount of rotation. 3. These are curved patterns made by series of circular shapes revolving around a central point 4. This kind of pattern is exhibited by objects which do not change its size and shape even if it moved to another location. 5. Describes as an exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a contor or an axis. It indicates that you can draw an imaginary line across an object and the resulting parts are mirror images of each other.INSTRUCTION: Determine the value of term under the Fibonacci sequence. Let Fib (n) be the nth term of
the Fibonacci sequence, with Fib (1) = 1, Fib (2) = 1, Fib (3) = 2, and so on. 1.(3pts)- Find Fib (8) 2.(3pts)- Find
Fib (19) 3.(4pts)- If Fib (22) = 17, 711 and Fib (24) = 46, 368, what is Fib (23)?
1. The word that describes a pattern in nature that is also exhibited in the external appearances of animals is "symmetry."
Symmetry refers to the balanced arrangement of parts or elements. In nature, many animals display symmetry in their body structure, such as butterflies with their symmetrical wings.
2. The word that describes a pattern exhibited by objects when their similar parts are regularly arranged around a central axis and the pattern looks the same after a certain amount of rotation is "rotational symmetry."
Rotational symmetry occurs when an object can be rotated and still maintain its original appearance. For example, a circle has rotational symmetry because it looks the same after any amount of rotation.
3. The word that describes curved patterns made by a series of circular shapes revolving around a central point is "spiral."
Spirals can be seen in various aspects of nature, like the arrangement of petals in a sunflower or the shape of a seashell.
4. The word that describes a pattern exhibited by objects that do not change their size and shape even if they are moved to another location is "translation symmetry."
Translation symmetry means that an object can be moved without altering its characteristics. For instance, a rectangle has translation symmetry because it remains the same even if it is shifted horizontally or vertically.
5. The word that describes an exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a contour or an axis is "reflection symmetry" or "mirror symmetry."
Reflection symmetry means that an object can be divided into two equal halves, and each half is a mirror image of the other. For example, the letter "A" exhibits reflection symmetry when it is divided vertically down the middle.
Now, moving on to the second part of the question, which involves finding values in the Fibonacci sequence:
1. Fib(8) = 13
2. Fib(19) = 4181
3. Fib(23) = 28,657
1. To find Fib(8), we can use the Fibonacci sequence. Fib(1) = 1, Fib(2) = 1, and each subsequent term is the sum of the previous two terms. So, Fib(3) = Fib(1) + Fib(2) = 1 + 1 = 2.
Similarly, Fib(4) = 2 + 1 = 3, Fib(5) = 3 + 2 = 5, Fib(6) = 5 + 3 = 8, and Fib(7) = 8 + 5 = 13. Therefore, Fib(8) is 13.
2. To find Fib(19), we can continue using the Fibonacci sequence. By applying the same pattern of adding the previous two terms, we find that Fib(19) is 4181.
3. Given that Fib(22) = 17,711 and Fib(24) = 46,368, we can determine Fib(23) by subtracting the known terms
. Since Fib(23) = Fib(24) - Fib(22),
we have Fib(23) = 46,368 - 17,711 = 28,657.
In summary:
1. Fib(8) = 13
2. Fib(19) = 4181
3. Fib(23) = 28,657
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Two dice are rolled and the faces are added together. Give your answer as a decimal out to at least 4 places. a. What is the probability of getting a sum of eight
To find the probability of getting a sum of eight when two dice are rolled, we need to determine the number of favorable outcomes (sum of eight) and the total number of possible outcomes.
When rolling two dice, the possible outcomes for each die range from 1 to 6. To get a sum of eight, we can have the following combinations:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)
This gives us a total of 5 favorable outcomes.
The total number of possible outcomes when rolling two dice is 6 multiplied by 6, which equals 36.
Therefore, the probability of getting a sum of eight is given by the fraction: favorable outcomes / total outcomes = 5 / 36.
Converting this fraction to a decimal, we get approximately 0.1389 (rounded to four decimal places).
So, the probability of getting a sum of eight when two dice are rolled is approximately 0.1389.
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Use the given arithmetic sequence to write an equation.
-3, -8, 13, -18,
-
Answer:
assuming 13 is supposed to be -13, the equation will be y=-5x+2
Step-by-step explanation:
common difference = -5
y=-5x+b
-3=-5(1)+b - plug in the first term of the sequence
b=2
The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 523. She thinks that her class’s math SAT score is different from the average. Which of the following are the correct null hypothesis and alternate hypothesis? H0: Mu = 514; Ha: Mu greater-than 514 H0: Mu not-equals 514; Ha: Mu = 523 H0: Mu = 514; Ha: Mu not-equals 514 H0: Mu = 514; Ha: Mu = 523.
From the hypothesis test, we have that:
The null hypothesis is \(H_0: \mu = 514\).The alternative hypothesis is: \(H_1: \mu \neq 514\)At the null hypothesis, it is tested if her average is the same as the national of 514, hence:
\(H_0: \mu = 514\)
At the alternative hypothesis, it is tested if it is different, hence:
\(H_1: \mu \neq 514\)
A similar problem is given at https://brainly.com/question/24330815
Answer:
c
just took on edge
\
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST IF THE ANSWERS CORRECT
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8-7
6
5
+
co
12
55555
11
10
9
-2-1-
TO
-9
-10
-11
"12
(4
4 5 6 7 8 9 10 11 12
To find the equation of a line, we need to determine its slope and its y-intercept.
Let's use the given graph to find the slope of the line.The slope of the line can be found as shown
:Slope = Change in y-coordinate / Change in x-coordinate
Let's select two points on the line and find the change in the y-coordinate and the change in the x-coordinate.
Using points (-12, 5) and (12, -7),
we get:Change in y-coordinate = -7 - 5
= -12
Change in x-coordinate = 12 - (-12)
= 24
Thus, the slope of the line is:Slope = -12/24
Slope = -1/2
The slope-intercept form of the equation of a line is given as:y = mx + b
where m is the slope of the line and b is the y-intercept.
We have found the slope of the line. To find the y-intercept, we can use any point on the line.Using point (0, -2),
we get:-2 = (-1/2)(0) + b-2
= b
Thus, the y-intercept of the line is b = -2.Substituting the values of m and b in the slope-intercept form of the equation of a line, we get:y = -1/2x - 2
This is the required equation of the line in fully simplified slope-intercept form.
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Find the value of x.
Answer:
x = 6Step-by-step explanation:
According to triangle proportionality theorem we have equal ratios:
(6x - 1 - 14)/14 = (15 - 6)/6(6x - 15)/14 = 9/6(6x - 15)/14 = 3/22(6x - 15) = 3*1412x - 30 = 4212x = 72x = 6The value of x will be 6 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown is figure.
Now,
By the definition of triangle proportionality theorem, we get;
⇒(6x - 1 - 14)/14 = (15 - 6)/6
Solve for x as;
⇒ (6x - 15)/14 = 9/6
⇒ 6x - 15 = 9×14/6
⇒6x - 15 = 21
⇒ 6x = 21 + 15
⇒ 6x = 36
⇒ x = 6 units
Thus, The value of x will be 6 units.
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one number is four more than a second number. two times the first number is 2 more than four times the second number. what are the two numbers?
The two numbers are 6 and 2.
Let's assume the first number is x and the second number is y.
From the first statement, we can write the equation x = y + 4.
From the second statement, we can write the equation 2x = 4y + 2.
Now, we can substitute x in terms of y from the first equation into the second equation:
2(y + 4) = 4y + 2
Simplifying this equation, we get:
2y + 8 = 4y + 2
2y = 6
y = 3
Substituting y = 3 in the first equation, we get:
x = y + 4 = 3 + 4 = 7
Therefore, 6 and 2 are the two numbers,
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A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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The density of a certain material is such that it weighs 2 grams per milliliter of
volume. Express this density in kilograms per pint. Round your answer to the nearest
hundredth.
Answer: 0.95
hchfcfhcxfjxgdxgfjvgcfhchcjg
Answer:
1.00
Step-by-step explanation:
1.00
Supposed that the demand d. for candy at a theater is inversely related to the price p. (A) when the price if candy is $3.25 per bag, the theater sells 144 bags of candy. Express the demand for candy in terms of its price. (B) determine the number of candy that will be sold if the price is raised to $4.00 a bag. (A). Write the equation that relates D to p. (B) the theater will sell how many bags of candy if the price is raised to $4.00 a bag
SOLUTION
From the question given, we are told that the demand D for bags, is inversely related to the price p. This is mathematically written as
\(\begin{gathered} D\propto\frac{1}{p} \\ \propto is\text{ a sign of proportionality. } \end{gathered}\)If the proportionality sign is removed, a constant k will be introduced, and this becomes
\(D=\frac{k}{p}\)(A) We are told that when the price per bag is $3.25, demand is 144 bags.
Hence D = 144 and p = 3.25, now let's find k using the equation above
\(\begin{gathered} D=\frac{k}{p} \\ 144=\frac{k}{3.25} \\ k=144\times3.25 \\ k=468 \end{gathered}\)Hence the equation that relates D to p is
\(D=\frac{468}{p}\)(B) If the price is raised to $4.00 per bag, the theater will sell?
Using the relationship, this becomes
\(\begin{gathered} D=\frac{468}{p} \\ D=\frac{468}{4.00} \\ D=117\text{ bags } \end{gathered}\)Hence the answer is 117 bags.
The sweatshirt is $52. What is the 9% sales tax?
We want to know if there exists a difference in sleep between pregnant and non-pregnant Americans.
In a sample of 52 non-pregnant American adults, you find they average 7.14 hours of sleep per night, with a standard deviation of 1.14 hours.
In an independent sample of 58 pregnant American adults, you find they average 7.75 hours of sleep per night, with a standard deviation of 0.96 hours.
To a significance level of a=0.08, test whether there exists a difference in sleep between the two groups. Please write your answers to at least four places. Assume that all conditions necessary for inference are satisfied.
What will our hypotheses look like?
What is the standard error?
What is the test statistic?
What is the p-value?
Based on this p-value, at a significance level of a=0.08, would we reject the null hypothesis?
The standard error is 0.2021
The test statistic is - 2.95
The p-value is 0.0042.
Based on this p-value, at a significance level of a = 0.08, we can reject the null hypothesis.
The hypotheses for this test are:Null hypothesis: There is no significant difference in sleep between pregnant and non-pregnant Americans.
Alternative hypothesis: There is a significant difference in sleep between pregnant and non-pregnant Americans.
Here we have
In a sample of 52 non-pregnant American adults, the average was 7.14 hours of sleep per night, with a standard deviation of 1.14 hours.
In an independent sample of 58 pregnant American adults, the average was 7.75 hours of sleep per night, with a standard deviation of 0.96 hours.
To test these hypotheses, we will use a two-sample t-test with unequal variances, also known as a Welch's t-test. The standard error for this test is calculated as:
SE = √[(s₁²/n₁) + (s₂²/n₂)]
Where s₁ and s₂ are the sample standard deviations, n₁, and n₂ are the sample sizes
Substitute the values from the problem, we get:
SE = √[(1.14²/52) + (0.96²/58)]
SE = 0.2021
The test statistic is calculated as:
t = (x₁ - x₂) / SE
Where x₁ and x₂ are the sample means for the non-pregnant and pregnant groups, respectively.
Substitutes the values from the problem, we get:
t = (7.14 - 7.75) / 0.2068
t = - 2.95
Using a t-distribution with degrees of freedom calculated by the Welch-Satterthwaite method (df = 90.87), we can find the p-value for this test. The p-value for a two-tailed test at a significance level of 0.08 is approximately 0.0042.
Since the p-value (0.0042) is less than the significance level (0.08), we can reject the null hypothesis.
Therefore,
Conclude that there is a significant difference in sleep between pregnant and non-pregnant Americans.
Hence,
The standard error is 0.2021
The test statistic is - 2.95
The p-value is 0.0042.
Based on this p-value, at a significance level of a = 0.08, we can reject the null hypothesis.
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g consider the series 2/5 4/25 8/125 16/625 ... does this series converge? and if so, evaluate the series.
The series 2/5 + 4/25 + 8/125+ 16/625 + ... is convergent series.
And the sum of the series is 2/3.
In this question we have been given a series 2/5 + 4/25 + 8/125+ 16/625 + ...
We need to determine whether the series is convergent or divergent.
The first term of the series is a1 = 2/5
We can observe that given series is a geometric series with the common ratio r = 2/5
Here, multiplying the previous term in the sequence by 25 gives the next term.
We know that the general form of a geometric sequence.
an = a1 r^(n−1)
So the n-th term of the series would be,
an = (2/5)(2/5)^(n - 1)
an = 2^n / 5^n
The sum Sn for given series would be,
Sn = a1(r^n −1) / r−1
Sn = [(2/5)((2/5)^n - 1)] / (2/5 - 1)
Consider lim n→∞ Sn
= lim n→∞ {[(2/5)((2/5)^n - 1)] / (2/5 - 1)}
= [(2/3)/(-3/5)] lim n→∞ {(2/5)^n - 1}
= -2/3 lim n→∞ {(2/5)^n - 1}
= (-2/3) * (-1)
= 2/3
Since lim n→∞ Sn exists, this series converge
Therefore, the sum of given series is 2/3
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I found a pair of Vans at the mall last week. They were normally priced at $45, but were on sale for 60% of the original price. How much do they cost now?
Answer:
18
Step-by-step explanation:
60% of 45 is 27
So 45-27 = 18
Answer:
$27.
Step-by-step explanation:
To find the percentage of something, simply multiply the value by the percentage ÷ 100:
60% = 60 ÷ 100 = 0.6
0.6 * 45 = 27
So they now cost $27.
Hope this helps!
An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line.How many different ways can they sit if the elf and the dwarf insist on sitting next to each other
Answer: 24
Step-by-step explanation:
1. Number Them
Elf and Dwarf = 1
Hobbit = 2
Wizard = 3
Man = 4
* Elf and Dwarf are put together so that they are always sitting together
2. Multiply
1 x 2 x 3 x 4 = 24
how do i get the linear equation of A=−2.3t−7
Hi! I have no idea if I did this question right something feels wrong. Can anyone help me? Thank you a lot!
Answer:
Step-by-step explanation:
1 is correct
2 is correct
3 is wrong
4 is correct
5 is correct
6 is wrong
7 is wrong
For 7:
360 - 90 - 61 - 65
= 144
For 6:
180 - 144
= 36
For 3:
180 - 115 - 36
= 29
Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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Use a change of variables to evaluate the following indefinite integral. 5(x2 + 3x) ® (6x2 +3) dx .. Determine a change of variables from x to u. Choose the correct answer below. 6 O A. u= x + 3x O B
The correct change of variables from x to u for the given integral is \(u = x² + 3x\).
To determine the appropriate change of variables, we look for a transformation that simplifies the integrand and makes it easier to evaluate. In this case, we want to eliminate the quadratic term (x²) and have a linear term instead.
By letting \(u = x² + 3x,\) we have a quadratic expression that simplifies to a linear expression in terms of u.
To confirm that this substitution is correct, we can differentiate u with respect to x:
\(du/dx = (d/dx)(x² + 3x) = 2x + 3.\)
Notice that du/dx is a linear expression in terms of x, which matches the integrand 6x² + 3 after multiplying by the differential dx.
Therefore, the correct change of variables is \(u = x² + 3x.\)
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Does anyone loves math TvT
The solution to all parts are given below:
What is experiment?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
1. The experiment is to spin the wheel and get the number and related to that number reward will be there.
2. The outcomes will be,
{1, 2, 3, 4, 5, 6, 7, 8}
3. Sample space
{1, 2, 3, 4, 5, 6, 7, 8}
4. Event of red with even number
= 2 , 6
5. Event of red with odd number
= 3,7
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is...The solution to the system 5x + y = -173y = 4x + 6A. no solutionB. (3,2)C. infinite # of solutionsD. (6, 1)
The given equations are:
5x + y = -17
3y = 4x + 6
Let's solve both the equations:
5x + y = -17
(multiply both sides by 3)
15x + 3y = -51 (1)
3y = 4x + 6
-6 = 4x - 3y
or
4x - 3y = -6 (2)
Now, add both the equations (1) and (2)
(15x + 3y) + (4x - 3y) = -51 -6
15x + 4x + 3y - 3y = -57
19x = -56
x = -57/19
x = -3
Now, put the value of x in eq (2).
4(-3) - 3y = -6
-12 -3y = -6
-3y = -6 + 12
-3y = 6
-y = 6/3
-y = 2
y = -2
Hence, the pair should be (-3, -2).
-3,1,0,1,5 least to greatest
supplementary angles.
If the measure of
measure of
m
Answer: I don't quite understand your question. Supplementary angles are angles that equal 180 degrees. You can find missing supplementary angles by adding the two that are given, and then subtracting them by 180.
A store sells
79 virtual reality headsets. How much
money does the store collect?
Hint (headset cost $125)
Answer: 9,875
Step-by-step explanation: 125 x 79 = 9,875
Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40 hours with sales of $5560. How much was she paid?
Answer:
Mary was paid $638
Step-by-step explanation:
Mary was paid 360 $ for working alone because
$40 * 9 = $360
Mary was paid $278
5 % * $5560 = $278
360 + 278 = 638 $
pls answer 5a b and c for brianlist
5.a) Steve - 60=5×12
= 5×3×2×2
5.b) Ian - 60=6×10
= 3×2×5×2.
Discussion - The prime factors reduce to the same numbers in both Steve's and Ian's case.
5.c) Case 1 of 48 = 6×8
= 3×2×2×2×2.
Case 2 of 48 = 12×4
= 2×2×3×2×2.
What are the solutions of the equation x^2+15=79?
========================================================
Work Shown:
x^2 + 15 = 79
x^2 = 79-15
x^2 = 64
x = sqrt(64) or x = -sqrt(64)
x = 8 or x = -8
As the steps above show, we first subtract 15 from both sides. Then we apply the square root to get the two results. Don't forget about the plus minus.
first think of the pairs of numbers that add 9 then subtract to 7
Step-by-step explanation:
x+9-7
x+2?????????????
Which factors plays a role in establishing the value of a country's currency?
Supply and demand are two factors that affect how much a country's currency is worth.
The supply and demand of a country's currency determine the value of that currency in a free-floating currency exchange market. A currency improves in value or appreciates when demand for it rises. A currency loses value or depreciates when there is less demand for it.
Money's demand determines how much it is worth. When there is still a strong demand for treasuries, the US dollar increases. The value of a currency determines both its supply and demand. For instance, if a nation prints a lot of currency, the value relative to other currencies will drop because supply exceeds demand. Inflation will happen if the cost of products rises or the value of money declines in comparison to other assets.
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