If A varies directly as the cube root of B and if A = 3 when B= 64, find the formula con- necting the variables.​

Answers

Answer 1

Answer:

A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex]

Step-by-step explanation:

Given A varies directly as [tex]\sqrt[3]{B}[/tex] then the equation relating them is

A = k [tex]\sqrt[3]{B}[/tex] ← k is the constant of variation

To find k use the condition A = 3 when B = 64 , then

3 = k [tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex] ← equation of variation


Related Questions

WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.

Answers

Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

What is an example of an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

Learn more about exponential equations here: brainly.com/question/2883200

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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

What is an example of an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

how do you write 6 x 6 x 6 x 6 x 6

Answers

Answer:

Exponent form

[tex] {6}^{5} [/tex]

Answer:

6^5

Step-by-step explanation:

6 x 6 x 6 x 6 x 6

There are 5 6's multiplied together

The base is 6 and the power is 5

6^5

What angle is supplementary to 123.9

Answers

The answer is “56.1” ( as you need to simply subtract 123.9 from 180 ) as supplementary means the sum of the two angle will be 180
56.1(subtracting 123.9 from 180)

draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.​​

Answers

Task:

Draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers. You will be graded according to the rubrics provided. An example is provided as your guide.

Answer:

Zipper

Using grammatical signals in developing patterns of idea can be like a zipper; because it zips our ideas or combined some informations that we have into one which helps readers understand our message better.

What is Gramatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. Short story is one of written medium where we can find these signals.

Why Gramatical signals important?

Gramatical signals is important because they signal relationship between sentence by means of back reference through the using of pronominal forms, determiners, repetition of key words, ellipsis, parallelism, synonyms and superordination. In short, they signal the relationship between new sentences and the one before it and they are also the important writing devices in text construction.

_________

#LetsStudy

Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.

What are Grammatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.

Important's of Grammatical signals

Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.

In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.

Learn more about Grammatical signals;

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Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%

Answers

Answer:

60%

Step-by-step explanation:

is it FLVS right?

i hope this is right

enjoy

Draw and label the solution to each

Answers

Total Area
A- 63.45
B- 66.25
C- 30.21
D- 85
E- 143.75
F- 81.59

Find the diameter of each
circle below. If there is not
enough information, write
"cannot tell."
Find the radius of each
circle below. If there is not
enough information, write
"cannot tell."

Answers

5. 4inch
6. 6cm
7. Cannot tell
8. 50mm
9. Cannot tell
10. 1.5cm

¿Cual es la fórmula del trapecio?

Ayuda plis

Answers

Answer:

Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.

Step-by-step explanation:


The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie

Answers

Answer:

Radius ≈ 7 yd

Step-by-step explanation:

Height = 10

Volume = 1540

Missing radius

Use the formula and work backwards

Formula : πr²h

Plug in the given info:

1540 = 3.14 * r² * 10

Work backwards:

1540/10 = 3.14 * r²

154 = 3.14 * r²

154/3.14 = r²

49.044 = r²

√49.044 ≈ 7

Radius = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELP ASAP. Find the set.

Answers

Given:

The given sets are:

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]

To find

The set [tex]B\cap U[/tex].

Solution:

We have,

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]B=\{2,4,6,8\}[/tex]

Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.

[tex]B\cap U=\{2,4,6,8\}[/tex]

[tex]B\cap U=B[/tex]

Therefore, the correct option is A.

ASAP show work pleaseee for all of them. 20pst

Answers

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful...

х- а
x-b
If f(x) = b.x-a÷b-a + a.x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)​

Answers

Given:

Consider the given function:

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]

To prove:

[tex]f(a)+f(b)=f(a+b)[/tex]

Solution:

We have,

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]

Substituting [tex]x=a[/tex], we get

[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]

[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]

[tex]f(a)=0+a[/tex]

[tex]f(a)=a[/tex]

Substituting [tex]x=b[/tex], we get

[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]

[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]

[tex]f(b)=b+0[/tex]

[tex]f(b)=b[/tex]

Substituting [tex]x=a+b[/tex], we get

[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]

[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]

[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]

[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]

Using the algebraic formula, we get

[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex]          [tex][\because b^2-a^2=(b-a)(b+a)][/tex]

[tex]f(a+b)=b+a[/tex]

[tex]f(a+b)=a+b[/tex]               [Commutative property of addition]

Now,

[tex]LHS=f(a)+f(b)[/tex]

[tex]LHS=a+b[/tex]

[tex]LHS=f(a+b)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily. What percentage of the total Centerville population are males who do NOT commute to work daily?

Answers

Answer:

16%

Step-by-step explanation:

100%-45%=55%

60%-21%=39%

55%-39%=16%

the total Centerville population are males who do NOT commute to work daily is 16%.

The percentage of Centerville population of males do not commute to work is 16%.

Given that, in Centerville, 45% of the population is female, and 60% of the population commutes to work daily.

What is the percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The total Centerville population, 21% are females who commute to work daily.

Now, the percentage of Centerville population of males commute to work = 60 - 21

= 39%

Total percentage of male = 100 - 45 =55

The percentage of Centerville population of males do not commute to work

= 55 - 39 = 16%

Therefore, the percentage of Centerville population of males do not commute to work is 16%.

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if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur

Answers

serian 144 apretones de manos en total

Answer:

66

Step-by-step explanation:

hope it helps :)

9-3(x-6) = 2(x-4)-10

Answers

Answer: x = 9

Step-by-step explanation: your welcome

Answer:

x=9

Step-by-step explanation:

9-3(x-6)=2(x-4)-10

9-3x+18=2x-8-10

9-3x+18=2x-18

9+3x+18=+3x-18

9+18=5x-18

9+18=5x+18

45=5x/5

45/5 = x

9=x

PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.​

Answers

The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].

What is trigonometric ratio?

Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.

How to find value?

We have to find the value of cos (13π/8).

We have to use formula which is following:

cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]

=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex]   (π=[tex]π[/tex])

=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]

=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]

=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]

=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]

=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]

Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].

Learn more about trigonometric ratios at https://brainly.com/question/24349828

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Find the volume of the prism

Answers

Answer:

D

Step-by-step explanation:

you just add it all up 10+6+8

Answer:

volume of the prism=8×6×10

=480 in²

MA + q ² A =g
Someone help me to do this Aquarian

Answers

Answer:

a=g/q2+m

Step-by-step explanation:Let's solve for a.

ma+q2a=g

Step 1: Factor out variable a.

a(q2+m)=g

Step 2: Divide both sides by q^2+m.

a(q2+m)

q2+m

=

g

q2+m

a=

g

q2+m

which expression is equivalent to 9 +y+y+3​

Answers

answer- 2y+12. you add 9 and 3 and the 2 y’s
Mark brainliest please

Answer is : 2(y + 6)

Could I get the awnser and explanation of this? Thank you!

Answers

Answer:

equation: y = 4x-12

slope: 4

y-intercept: -12

Step-by-step explanation:

3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis

Define the word term

Answers

a word or phrase used to describe a thing or to express a concept, especially in a particular kind of language or branch of study.

Answer:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

hope this helps

have a good day :)

Step-by-step explanation:

4-2x=22 relationship can be written as

Answers

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9

A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black​

Answers

Answer:

a) 2/3

b) 1/2

c) 1/6

Step-by-step explanation:

2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6

Answer:

P( not white )  =2/3

P ( red)= 1/2

P( black)  = 1/6

Step-by-step explanation:

2 white balls, 3 red balls and a black ball. = 6 balls

P( not white )  = number of balls not white / total = 4/6 =2/3

P ( red) = number of balls that are red/ total = 3/6 = 1/2

P( black) = number of balls that are black/ total = 1/6

How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?

Answers

Answer:

18

Step-by-step explanation:

make 11 1/4 into improper fraction > 45/4

multiply by 2 so it has same denominator > 90/8

90/8 divided by 5/8 = 18

Answer:

18 binder clips

Step-by-step explanation:

The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.

To get the answer, you simply divide 5/8 by 11 1/4.

To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.

Now you can divide.

[tex]\frac{45}{4} / \frac{5}{8}[/tex]

To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.

You would get this:

[tex]\frac{45}{4} *\frac{8}{5}[/tex]

There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.

I hope it helps!

Anyone know??? PLEASE HELP ME

Answers

Answer:

C

Step-by-step explanation:

Try it.

Answer:Its B or C

Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.

What is the difference between a bar chart and a histogram?

Answers

Answer:

In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.

bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.

but,

Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)

Answers

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Mention 3 places
where you can get
pre-approved for a
car loan

Answers

Answer:

Auto Credit Express, Carvana, Capital one auto loan

I’ll mark brainliest

Answers

Answer:

The answer is option A.

:)))))))

I think it’s a. I had the same test.

What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

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