X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.
Answers
Answer:
The value of x is 12.
Step-by-step explanation:
Given that x is directly proportional to y so the expression will be x = k (³√y) where k is the constant. First, you have to find the value of k :
\(x = k \: (\sqrt[3]{y} )\)
\(let \: x = 6,y = 8\)
\(6 = k \: (\sqrt[3]{8} )\)
\(6 = k(2)\)
\(k = 3\)
Next, you have to find the value of x, by substituting y = 64 into the expression :
\(x = 3 \: ( \sqrt[3]{y} )\)
\(x = 3( \sqrt[3]{64} )\)
\(x = 3(4)\)
\(x = 12\)
Related Questions
how do you explain division in an easy way?
Answers
Which of the following statements should the salesperson use if he wished to ignore the objection?
a. "I think I might be able to explain that better to you after showing you this diagram."
b. "I think you have a point there; do you have any idea how we can improve that situation?"
c. "That's true. It does have a shorter shelf life, but that hasn't really been a problem. It is so popular it never gets to stay on the shelf that long anyway."
d. "Where did you hear that? Your source must have erroneous information."
e. "As I was saying, . . . "
Answers
E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.
Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.
Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.
When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.
To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.
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Find all values of x for which the series converges. (Enter your answer using interval notation ) (9x)n n = 1 For these values of X, write the sum of the series as a function of X. f(x)'
Answers
So, the sum of the series as a function of x is: f(x) = 9x / (1 - 9x).
To determine the values of x for which the series converges, we need to find the values of x that satisfy the convergence criteria for the given series.
The series \((9x)^n, n = 1\), will converge if the absolute value of (9x) is less than 1.
|9x| < 1
To find the values of x that satisfy this inequality, we can solve it as follows:
-1 < 9x < 1
Divide all terms by 9 (since 9 is positive):
-1/9 < x < 1/9
Therefore, the series converges for x values in the interval (-1/9, 1/9).
The sum of the series as a function of x, denoted as f(x), can be found using the formula for the sum of a geometric series:
f(x) = a / (1 - r)
where a is the first term and r is the common ratio. In this case, the first term is \((9x)^1 = 9x\), and the common ratio is \((9x)^n / (9x) = (9x)^{(n-1)\).
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Demand and Consumer Surplus: Joe's demand for pizza can be described with this function: Q = 30 - 2P where Q is the number of slices of pizza consumed per week and Pis the price of a slice. a. Plot the demand curve, with P on the vertical axis and on the horizontal axis. Label the vertical and horizontal intercepts (5 points). b. Joe's total spending on pizza at P = 5 equals 20*5 = 100. His total spending on pizza at P=4 is 22*4 = 88. Without calculating the elasticity of demand directly, what do these total spending figures tell you about Joe's elasticity of demand for pizza between P= 5 and P=4? Explain. (5 points) c. Suppose P=9. Calculate Joe's consumer surplus at this price. (5 points) d. Suppose a rise in the price of tomatoes results in pizza prices rising to $15 (!) per slice. What is Joe's consumer surplus at this new price? (5 points)
Answers
The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.
What is the interpretation of Joe's total spending figures for pizza at different prices?a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.
On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.
b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.
Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.
c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.
The consumer surplus is given by (1/2) ˣ (9 - P) ˣ Q = (1/2) ˣ (9 - 9) ˣ 12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.
Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.
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What are the 10 recommended tips for cyber security?
Answers
Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.
The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.
Best Cybersecurity Advice for 2023:
Update your software.To avoid opening shady emails.Maintain current hardware.Encrypt data using a safe file-sharing program.Apply antivirus and anti-malware software.Select strong passwords.Enable two-factor authentication.To protect your connections, utilize a VPN.Before clicking, double-check URLs.Don't use lazily generated passwords.Learn more about cyber security Visit: brainly.com/question/28004913
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Question 1
In OC, mAB= 72. Find m/_BCD.
A 72
B 108
C 144
D 180
and maybe 5 & 6 if ur feeling generous
Answers
1) Because \(\angle ACB\) is a central angle, \(m\angle ACB=72^{\circ}\).
Since \(\angle ACB\) and \(\angle BCD\) are supplementary, they form a linear pair, and thus \(m\angle BCD=180^{\circ}-72^{\circ}=\boxed{108^{\circ}}\)
5) Tangents drawn from an external common point are congruent, so CR=CP=8 and RB=BQ=4. This means that QA=11, and so PA=11 as well. Adding CP+PA, we get AC=19.
6) By the inscribed angle theorem, angle QPR measures 36 degrees.
Statistical techniques that allow us to study samples and then make generalizations about the populations from which they were selected are called what?.
Answers
explain: i just took AP stats
Inferential Statistics is discussed below.
We have the following statement -
Statistical techniques that allow us to study samples and then make generalizations about the populations from which they were selected.
We have to determine what kind of techniques are these.
What is Statistics?It is a part of mathematics that deals with the collection, analysis, interpretation, and presentation of numerical data.
According to the question -
The techniques that allow us to study samples and then make generalizations about the populations from which they were selected are part of the inferential statistics.
Inferential statistics helps us to make predictions from the data described by descriptive statistics. It has two main areas -
1 - Estimating Parameters
2 - Hypothesis tests
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Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?
Answers
Answer:
Option B is correct
Step-by-step explanation:
The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.
Hence, option B is correct
Can an acute triangle measure 90 degrees?.
Answers
The acute triangle can not measure 90 degrees because the criteria requires angles to be less than 90 degrees.
Acute triangle is the triangle with all the angles less than 90 degrees. However, the acute angles should always add up to 90 degrees. There are different types of acute triangles such as scalene, isosceles and equilateral triangle.
Acute Equilateral triangle has all the equal sides, acute isosceles triangle has two equal sides and acute scalene triangle has three different sides with different lengths.
Apart from acute angles, there are many other types of angles like obtuse angle and right angle. Right triangle has a 90 degree angle and obtuse triangle has more than 90 degrees angle.
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Andre wants to buy a bike that normally costs $125, but is on sale for 20% off.
How much is the discount? Andre will pay $100 after the discount
Answers
Answer:
The discount takes $25 dollars off
Step-by-step explanation:
So yes, he'll pay $100 after the discount is applied
Answer:
25 dollars
Step-by-step explanation:
125 - 100= 25
How do you do Geometry the right way and what is the best way to remember how to do it?
Answers
Step-by-step explanation:
To understand geometry, it is easier to visualize the problem and then draw a diagram. If you're asked about some angles, draw them. Relationships like vertical angles are much easier to see in a diagram; if one isn't provided, draw it yourself.
8 7/8+(-12 1/4) positive or negative
Answers
Answer:
Negative
Step-by-step explanation:
8 7/8+(-12 1/4) = -27/8
Answer hi follow my tik-tok .aldrins
Step-by-step explanation:
pls helppppppppppppppppppppppppppppp
Answers
X=6
Hope this helps
Consider the following regression on 110 college students:
Estimated(Studenth) = 19.6 + 0.73(Midparh) , R2 = 0.45, SER = 2.0
Standard errors are as hereunder:
SE(intercept) = (7.2)
SE(Midparh) = (0.10)
(Values in parentheses are heteroskedasticity-robust standard errors).
where "Studenth" is the height of students in inches, and "Midparh" is the average of the parental heights.
(a) Using a t-test approach and 5% level of significance, test if slope coefficient can be positive. Make sure you write both hypothesis claims properly.
(b) If children, on average, were expected to be of the same height as their parents, then this would imply that the coefficient of intercept becomes zero and the coefficient of slope will be 1:
(i) Test if the coefficient of intercept is zero at 1% level of significance.
(ii) Test if the slope coefficient is 1 at 5% level of significance.
(Note: the statistical table is attached hereto)
(c) Repeat part (B)-(i) using the p-value approach.
(d) Repeat part (B)-(ii) using the p-value approach.
Please answer all 4 parts, a, b, c and d.
Answers
(a) Using a t-test approach and a 5% level of significance, the slope coefficient is significantly positive.
(b) (i) The coefficient of intercept is significantly different from zero at a 1% level of significance.
(ii) The slope coefficient is significantly different from one at a 5% level of significance.
(c) The p-value for the coefficient of intercept is less than 0.01, providing strong evidence against the null hypothesis.
(d) The p-value for the slope coefficient is less than 0.05, indicating a significant deviation from the value of one.
(a) To test if the slope coefficient can be positive, we can use a t-test approach with a 5% level of significance. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The slope coefficient is zero (β1 = 0)
Alternative hypothesis (Ha): The slope coefficient is positive (β1 > 0)
We can use the t-statistic to test this hypothesis. The t-statistic is calculated by dividing the estimated coefficient by its standard error. In this case, the estimated coefficient for the slope is 0.73, and the standard error is 0.10 (based on the heteroskedasticity-robust standard error).
t-statistic = (0.73 - 0) / 0.10 = 7.3
Looking up the critical value in the t-table at a 5% level of significance for a two-tailed test (since we are testing for positive coefficient), we find that the critical value is approximately 1.660.
Since the calculated t-statistic (7.3) is greater than the critical value (1.660), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the slope coefficient is positive.
(b) (i) To test if the coefficient of intercept is zero at a 1% level of significance, we can use a t-test. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The coefficient of intercept is zero (β0 = 0)
Alternative hypothesis (Ha): The coefficient of intercept is not equal to zero (β0 ≠ 0)
Using the same t-test approach, we can calculate the t-statistic for the intercept coefficient. The estimated coefficient for the intercept is 19.6, and the standard error is 7.2.
t-statistic = (19.6 - 0) / 7.2 ≈ 2.722
Looking up the critical value in the t-table at a 1% level of significance for a two-tailed test, we find that the critical value is approximately 2.626.
Since the calculated t-statistic (2.722) is greater than the critical value (2.626), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the coefficient of intercept is not equal to zero.
(ii) To test if the slope coefficient is 1 at a 5% level of significance, we can use a t-test. The null and alternative hypotheses are as follows:
Null hypothesis (H0): The slope coefficient is 1 (β1 = 1)
Alternative hypothesis (Ha): The slope coefficient is not equal to 1 (β1 ≠ 1)
Using the t-test approach, we can calculate the t-statistic for the slope coefficient. The estimated coefficient for the slope is 0.73, and the standard error is 0.10.
t-statistic = (0.73 - 1) / 0.10 ≈ -2.70
Looking up the critical value in the t-table at a 5% level of significance for a two-tailed test, we find that the critical value is approximately 2.000.
Since the calculated t-statistic (-2.70) is greater in magnitude than the critical value (2.000), we reject the null hypothesis. Therefore, there is sufficient evidence to suggest that the slope coefficient is not equal to 1.
(c) Using the p-value approach for part (b)-(i), we compare the p-value associated with the coefficient of intercept to the chosen level of significance (1%). If the p-value is less than 0.01, we reject the null hypothesis.
(d) Using the p-value approach for part (b)-(ii), we compare the p-value associated with the slope coefficient to the chosen level of significance (5%). If the p-value is less than 0.05, we reject the null hypothesis.
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Ms. Dundy randomly chooses one male student and one female student to read from a book. Which of the following correctly describes the relationship between the two outcomes?
Answers
Answer:
Step-by-step explanation:
The outcomes of selecting one male student and one female student to read from a book are independent. This means that the outcome of selecting a male student does not affect the probability of selecting a female student, and vice versa. In other words, the events are unrelated and the occurrence of one event has no effect on the occurrence of the other event. Therefore, the two outcomes are not related to each other, and they are independent events.
question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
Answers
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answers
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
Simplify each expression
-4 + 7 (1-3m)
Answers
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
whats 5 x 8 + 48 :) plz
Answers
Answer:
5 * 8 + 48
= 88
Step-by-step explanation:
Please help! (70 Max points!)
Answers
Answer:
10 ft
Step-by-step explanation:
It mentions they are congruent.
Hence, according to the property of CPCT, corresponding parts of congruent triangles are equal.
Hence,
AC = EGf = 10 fthow does the graph of g(x) = (x - 3)^3 - 2 differ from the group of f(x) = x^3?
A. g is shifted 3 units right and 2 units up.
B. g is shifted 3 units right and 2 units down.
C. g is reflected across the y-axis.
D. g is rotated 90* clockwise.
Answers
Answer:
B
Step-by-step explanation:
f(x) = x³
g(x) = (x - 3)³ - 2
The inside of the parenthesis represents a horizontal shift
If the number operation being done to x inside of the parenthesis is adding ( or if the number is positive ) then the graph will shift to the left. If the operation being done inside of the parenthesis to x is subtraction ( or if the number is negative ) then the graph will shift to the right.
The operation being done is subtraction therefore it will shift to the right. So it will go 3 units to the right.
the number on the outside works like a y intercept. if it's positive it goes up, if it's negative it goes down. the number is -2 so it will go down 2 units
we can conclude that g is shifted 3 units right and 2 units down
the answer is B
Please help with this question.
Thanks.
Answers
Answer:
10
Step-by-step explanation:
E = V + 1/2mv^2
700 = 300 + 1/2*8*v^2
400 = 4v^2
100 = v^2
v = 10
Please Help.
Algebra.
Answers
Classify the polynomial.
2x^5+x^2-2x+4
a. quintic polynomial
b. cubic polynomial
c. quadratic monomial
Answers
Please explain the seventh question with steps
Answers
Evaluating the expression in x = 2 and y = -1 we will get the value 4/27.
How to evaluate the expression?Here we want to evaluate the following expression:
(3x⁻¹*y⁻²)⁻³(x⁻¹*y⁴)
In x = 2 and y = -1
First, remember that:
(xᵃ)ᵇ = xᵃ*ᵇ
Then we can rewrite the first factor as:
(3x⁻¹*y⁻²)⁻³ = (1/27)*x⁻¹*⁻³*y⁻²*⁻³ = (1/27)*x³*y⁶
Our expression then becomes:
(1/27)*x³*y⁶*(x⁻¹*y⁴) = (1/27)*x³⁻¹*y⁶⁺⁴ = (1/27)*x²*y¹⁰
Now replace the values of x and y by the given values, then:
(1/27)*2²*(-1)¹⁰ = 4/27.
That is the answer.
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p=5(q-2r)/r
solve for r
Answers
Answer:
r = 5q / (p + 10)
Step-by-step explanation:
p = 5(q - 2r)/r
multiply both sides by r
pr = 5(q - 2r)
distribute
pr = 5q - 10r
add 10r to both sides
pr + 10r = 5q
Factor out r
r(p + 10) = 5q
divide both sides by p + 10
r = 5q / (p + 10)
For g(x) = 1/3x – 2, find the value of x for which g(x) = -4
Answers
Find the first three terms of the sequence below. Tn=n2+2n+9
Answers
\(\\ \bull\tt\longrightarrow T_n=n^2+2n+9\)
\(\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12\)
\(\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17\)
\(\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24\)
The four "R’s" of environmental sustainability does not include:
Group of answer choices
Recover
Rescind
Reduce
Recycle
Answers
The four "R’s" of environmental sustainability do not include Rescind.
What are the four R’s of environmental sustainability?
The four R’s of environmental sustainability are as follows:
Reduce
Reuse
Recycle
Recover
The four R's are used as a guide for living sustainably and reducing our impact on the environment.
Rescind is not a part of the four Rs of environmental sustainability.
What is the meaning of environmental sustainability?
Environmental sustainability is a broad term that refers to anything that can be done to protect the natural environment and resources, and reduce the negative human impact on the environment and promote the health and well-being of the planet.
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Find the value of this expression if x = -4.
x2 – 7
x + 1
Answers
Answer:
First one equals -15
Second one equals -3
Step-by-step explanation:
(-4)*2 - 7
= (-8) - 7
= (-15)
(-4) + 1
= (-3)
Hopefully this helps.