If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k

Answers

Answer 1

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8


Related Questions

if the third term is 20 and 7th is 1.25, find the 11th term

Answers

Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

PLEASE ANSWERS FAST

how do you find the perimeter of the base?

A. Multiply the side lengths

B. Divide the side lengths

C. Add all sides of the base shape

D. Take the square root after multiplying the side lengths​

Answers

Answer:

C. Add all sides of the base shape

Step-by-step explanation:

perimeter = sum of length of sides of a polygon

Answer: C. Add all sides of the base shape

C. Add all sides of the base shape

On Saturday, a local hamburger shop sold a combined total of 261 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?

Answers

Answer:

134 hamburgers

Step-by-step explanation:

Let H = # of hamburgers 

# of cheeseburgers = 2H

H + 2H = 402

3H = 402

H = 402/3

H = 134

Roads connecting the towns of Oceanside, River City, and Lake View form a triangle. The distance from Oceanside to River City is 38 kilometers. The distance from River City to Lake View is 26 kilometers. What is the smallest possible whole number of kilometers between Lake View and Oceanside?

Answers

Answer:

13 km

Step-by-step explanation:

By Triangle Inequality Theorem: The sum of two smallest sides is greater than the third side.

Small Values of X:

X + 26 > 38

X > 38 - 26

X > 12

If we know that 38 km is the longest side, then the sum of other two sides must be greater than 38 km. Therefore the minimum value of X is 13 km.

I need help on this question and answering it

Answers

Answer:

75 feet

Step-by-step explanation:

the shadow to the object would be a 4:5 ratio

since the shadow of the flagpole is 60 ft,

4x=60 so x would =15

then you multiply 15 by 5 and end up with 75

Answer: 75 feet

Step-by-step explanation: trust me

3 questions
4 is about what percent of 9?
About what percent of 7560 is 3000?
1.3 is about what percent of 27?

Please help me my teacher does not explain how to do this well..

Answers

1) 4 is 44.44% of 9

2) 3000 is 39.68% of 7560

3) 1.3 is 4.81% of 7

Answers

1) 44.44%

2) 39.69%

3) 4.81%

Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks)

Answers

Answer:

z=30

Step-by-step explanation:

40-10=30

10+10+?=30

30-10-10=10

I'm sorry cuz I don't know how to explain it

Answer:

z = 10

Step-by-step explanation:

10 + 10 + z = 40 - 10

10 + 10 + z = 30

10 + 10 + 10 = 30

since 40 - 10 = 30, then Z has to equal 10 because 10 + 10 + z needs to be 30

Can someone help me out please.

Answers

Answer:

area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²

Step-by-step explanation:

Answer:

142.5 in^2

Step-by-step explanation:

Area of trapezoid= a + b  / 2 · h         (a and b are bases of the trapezoid)

A= 5 + 10 / 2 · 19

A= 15 / 2 · 19

A= 7.5 · 19

A= 142.5 in^2

This is just one way to do it. There are many more ways.

Explain what you think that term dilation means.

Answers

Answer:

the action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

Which of these describe a unique polygon

Answers

Answer: d

Step-by-step explanation:

Find the distance between (5, -1) and (1,-5).

Answers

4 units I assume. that it is a very basic answer tho and I am not sure if a specific formula or lesson was supposed to be applied to that andwer

need help plz im struggling ​

Answers

Answer:

12057.6

Step-by-step explanation:

V = πr²h

3.14 x 16² x 15

3.14 x 16² = 803.843.14 x 803.84 = 12057.6

please help with right answers xoxo

Answers

y = 3x - 4

y = 3(-1) - 4
y = -3 - 4 = -7
Graph pair is (-1, -7)

y = 3(0) - 4
y = 0 - 4 = -4
Graph pair is (0, -4)

y = 3(2) - 4
y = 6 - 4 = 2
Graph pair is (2, 2)

y = 3(4) - 4
y = 12 - 4 = 8
Graph pair is (4, 8)


2. (1 point each) Let f(x) = √x and g(x) = 1/x. In the space
provided, compute each of the following, if possible:
(a) f(36)
(b) (g+f)(4)
(c) (f · g)(0)

Answers

(a) f(36) is equal to 6.

(b) (g+f)(4) = g(4) + f(4) = 9/4

(c) we cannot compute (f · g)(0).

(a) To find f(36), we substitute x = 36 into the function f(x) = √x:

f(36) = √36 = 6

Therefore, f(36) is equal to 6.

(b) To find (g+f)(4), we need to evaluate g(4) and f(4), and then add the results:

g(4) = 1/4

f(4) = √4 = 2

(g+f)(4) = g(4) + f(4) = 1/4 + 2 = 1/4 + 8/4 = 9/4

Therefore, (g+f)(4) is equal to 9/4 or 2.25.

(c) To find (f · g)(0), we need to evaluate f(0) and g(0), and then multiply the results:

f(0) = √0 = 0

g(0) = 1/0

However, g(0) is undefined because division by zero is not defined in mathematics.

Therefore, we cannot compute (f · g)(0) in this case.

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Rewrite as an addition equation and determine the answer: -3 - - 8 =

Answers

Answer:

-3 + 8 = 5

Step-by-step explanation:

When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.

LMK if you have questions.

-3 + -8 = -11

is that a nice one or something

Test whether there is a difference in the pattern of freshman class ranks (an ordinal scale variable) of the newly-inducted sophomore members across five sororities at Mega University.

Answers

The required answer is by conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.

To test whether there is a difference in the pattern of freshman class ranks among the sophomore members across five sororities at Mega University, we can use a statistical test called the Kruskal-Wallis test. The Kruskal-Wallis test is a non-parametric test used to compare the distributions of three or more independent groups.

In this case, the five sororities represent the independent groups, and the freshman class ranks of the sophomore members within each sorority are the ordinal scale variable of interest. The Kruskal-Wallis test will assess whether there are statistically significant differences in the distribution of freshman class ranks across the five sororities.

Here is a step-by-step explanation of how to conduct the Kruskal-Wallis test:

Step 1: Formulate the null and alternative hypotheses.

Null hypothesis (H₀): There is no difference in the pattern of freshman class ranks across the five sororities.

Alternative hypothesis (H₁): There is a difference in the pattern of freshman class ranks across the five sororities.

Step 2: Collect the data.

Gather the freshman class ranks of the sophomore members for each sorority. Ensure that the data is properly coded and organized.

Step 3: Perform the Kruskal-Wallis test.

Apply the Kruskal-Wallis test to the data. The test will compare the distributions of the ordinal data across the five sororities and determine if there are significant differences.

Step 4: Interpret the results.

Analyze the output of the Kruskal-Wallis test, which typically provides a test statistic and a p-value. If the p-value is below a predetermined significance level (e.g., 0.05), we reject the null hypothesis and conclude that there is evidence of a difference in the pattern of freshman class ranks across the five sororities.

Step 5: Post-hoc analysis (if necessary).

If the Kruskal-Wallis test indicates significant differences, further analyses, such as pairwise comparisons or Dunn's test, can be conducted to identify which specific sororities differ from each other.

By conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.

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What is the volume of a cone with a radius 3 cm and a height 6 cm?​

Answers

Answer:

56.55

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

353.93 ft²

Step-by-step explanation:

Step 1:

Find the area of the Trapezoid.

(a + b) ÷ 2 × height

20 + 17 = 37

37 ÷ 2 = 18.5

18.5 × 13 = 240.5 ft²

Step 2:

Find the Area of the Semicircle:

1/2 × πr²

1/2 × 3.14 = 1.57

1.57 × 8.5² = 113.43 ft²

Step 3:

Add the two areas together:

240.5 + 113.43 = 353.93 ft²

Let V be the set of all ordered triples of real numbers with addition and scalar multiplication defined as follows: (x, y, z) + (x'. y' z') = (x + x'.0,2 + z!) and k(x,y,z) (kx,ky, kz) for all real numbers k. Prove that V is not a vector space.

Answers

The set V, defined as the set of all ordered triples of real numbers with the given addition and scalar multiplication operations, is not a vector space. Therefore, we can conclude that V is not a vector space, as it does not fulfill the required vector space axioms.

To prove that V is not a vector space, we need to demonstrate that it fails to satisfy at least one of the vector space axioms.

Let's consider the closure under scalar multiplication axiom. According to the given scalar multiplication operation, k(x, y, z) = (kx, ky, kz) for all real numbers k. However, in a vector space, scalar multiplication should be distributive over both addition of vectors and scalar addition.

Let's choose a specific example to illustrate the issue. Consider the vector (x, y, z) = (1, 1, 1) in V and the scalar k = 2. According to the defined scalar multiplication operation, 2(x, y, z) = 2(1, 1, 1) = (2, 2, 2).

Now, let's compute (1 + 1)(x, y, z) = 2(x, y, z) = 2(1, 1, 1) = (2, 2, 2).

However, in a vector space, the distributive property should hold, meaning that (1 + 1)(x, y, z) should equal (1, 1, 1) + (1, 1, 1) = (2, 2, 2).

Since (1 + 1)(x, y, z) ≠ (1, 1, 1) + (1, 1, 1), V fails to satisfy the closure under scalar multiplication axiom.

Therefore, we can conclude that V is not a vector space, as it does not fulfill the required vector space axioms.

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Cody did not understand the concepts of the “special cases” when factoring. Explain the concept of the perfect square binomial. Use an example to help explain to her how it is a special case and how to factor it using the special case rules.

Answers

A binomial expression of the form (a + b)² or (a - b)² is called a perfect square binomial.

This expression can be factored using the special case rules by rewriting it in the form

(a + b)(a + b) or (a - b)(a - b), respectively.

A perfect square binomial is a quadratic trinomial in which the first term is a perfect square and the second term is twice the product of the square root of the first term and the square root of the last term.

In the context of special cases, the perfect square binomial is a binomial that is formed by squaring a binomial.

This is a special case because it has a unique factorization, as we will see later.

An example of a perfect square binomial is (x + 4)².

This is because the first term, x², is a perfect square, and the second term, 8x, is twice the product of the square root of x² and the square root of 4, which is 2.

Hence, (x + 4)² can be factored using the special case rules as:

(x + 4)(x + 4),

which simplifies to

(x + 4)².

A perfect square binomial is a quadratic trinomial in which the first term is a perfect square and the second term is twice the product of the square root of the first term and the square root of the last term.

It is a special case because it has a unique factorization, which is given by the formula:

(a + b)² = a² + 2ab + b²

           or

(a - b)² = a² - 2ab + b².

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help ASAP! Ill mark brainliest!

Answers

Answer:

55 students

Step-by-step explanation:

Just write down the answer.

Answer:

Step-by-step explanation:

Football: 500(.38)= 190

Basketball: 500(.25)= 125

55 students (65 students)

help║...................

Answers

180-(60+54)=66
So the answer is 66*
66 because it is 180-60+54 which is 66

Which of the following is the correct alternative hypothesis constructed in the binomial test? A. H, :P Previous question

Answers

The correct alternative hypothesis constructed in a binomial test is (a) H₁ :P < Q

How to determine the correct alternative hypothesis constructed in a binomial test?

From the question, we have the following parameters that can be used in our computation:

A. H₁ :P < Q

B. H₁: P - Q

C. H₁ : P = Q

D. H₁ : P ≤ Q

As a general rule of test of hypothesis, alternate hypothesis are represented using inequalities

This means that we make use of <, > or ≠

Hence, the correct alternative hypothesis is (a) H₁ :P < Q


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Question

Which of the following is the correct alternative hypothesis constructed in the binomial test?

A. H₁ :P < Q

B. H₁: P - Q

C. H₁ : P = Q

D. H₁ : P ≤ Q

Complete the table below for the equation y=1+2x

Answers

y= 1,3,5

Hope it help

Are the ratios 18:6 and 3:1 equivalent?

Answers

Answer: no

Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600

https://goodcalculators.com/ratio-calculator/

© 2015-2021 goodcalculators.com

Answer:

yes

Step-by-step explanation:

18:6

18/6=3

6/6=1

3:1 is a simpler version of 18:6

Find the distance between the points (–10,3) and (–2,3).

Answers

Answer:

8

Step-by-step explanation:

10 - 2

20 POINTS‼️‼️Which of the following does NOT represent the number of months in a year?
A and b are in the attached photo.
C. y= 12x, where x represents the number of years and y represents the number of months
D. There are 96 months in 8 years.
‼️PLEASE DO YOUR BEST TO SHOW WORK FOR BRAINLIEST‼️​​

Answers

Answer:

B because when you multiply the first number by twelve the first two are correct but the second ones are not

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 times 6 = 72, not 60

Please Help, GodBless

Answers

Answer:

-3/2

Step-by-step explanation:

The rate of change is the same as slope

Find the missing length.
= ✓ [?]
C =
с
6
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer:

Pythagoras theorem= 6 squared +11 squared

= 36 + 121

= 157

Step-by-step explanation:

9y8tyfstoylhlh

Find the sum of the interior angle measures of the polygon.

Answers

Answer:

360

Step-by-step explanation:

All the angles of a polygon add up to 360, thats kinda just how it is haha

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