10 y is directly proportional to the cube of x. Given that y = 1512 when x = 6, find the equation for the y in terms of x.​

Answers

Answer 1

Answer:

[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]


Related Questions

work out the number of ham sandwiches Tina had

Answers

Answer:

Number of ham sandwiches Tina made = 60

Step-by-step explanation:

Total number of sandwiches = 480

Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]

Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]

                                                                   = 180

Percentage of beef sandwiches = 35%

Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]

                                                = 168

Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6

[tex]\frac{h}{c}=\frac{5}{6}[/tex]

[tex]c=\frac{6}{5}h[/tex] ------(1)

Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480

180 + 168 + h + c = 480

h + c = 480 - 348

h + c = 132

Substitute the value of c from equation (1),

[tex]h+\frac{6}{5}h=132[/tex]

[tex]\frac{11}{5}h=132[/tex]

[tex]h=\frac{132\times 5}{11}[/tex]

[tex]h=60[/tex]

Therefore, number of ham sandwiches Tina made = 60

Rewrite the equation by completing the square.

Answers

Answer:

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )

4(x² - x) + 1 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - x

4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² = 0

What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth

Answers

Answer:

14.9 degrees

Step-by-step explanation:

For this problem you can use Tan∅=o/a and solve for the angle:

15.7 / 59 = 0.2661

Then use inverse tangent of 0.2661 to get 14.9.

Which algebraic expression is equivalent to the expression below?
3(5x + 7) - 6(4 - 25)

Answers

Answer:

15x+21-24+150

15×+147

Answer:

15x + 147

Step-by-step explanation:

The given algebraic expression to us is ,

⇒ 3(5x + 7) - 6(4 - 25 )

On opening the brackets ,

⇒ 15x + 21 - 24 + 150

15x + 147

I don't exactly understand ​

Answers

Check this link: https://brainly.com/question/12053038

The same question is explained here :).

Hope it helps.

(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?

Answers

Answer:

Step-by-step explanation:

A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.


[tex]solve \: this \: \\ \\ 2a + 5b + 7a + 3b - 2a + 3c[/tex]

Answers

Answer:

7a + 8b + 3c

Step-by-step explanation:

Group together like terms and simplifyy

Answer:

7a + 8b + 3c

Step-by-step explanation:

2a + 5b + 7a + 3b - 2a + 3c

= 2a - 2a + 7a + 5b + 3b + 3c

= 7a + 8b + 3c

PLS HELP TIMED QUESTION (I'll mark brainiest)
Please show work if possible.

Answers

Hello,

[tex]sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\[/tex]

Answer A

F= P(1 + r)!
Rearrange the formula to highlight the present value.
P=

Answers

[tex]\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1[/tex]

represent the following additions on a number line 3+5=8 3+(-5)

















Answers

Answer:

8 &-2

Step-by-step explanation:

<-------------------------->

-2-1 0 1 2 3 4 5 6 7 8

________________

-2<8 and 8>-2

Which of the following shows the coordinates of A (6, 12)
after reflection over the y-axis?

Answers

Answer:

(- 6, 12 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (6, 12 ) → A' (- 6, 12 )

(-6,12) if you start in quadrant 1 and move to quadrant 2 it means that your x value is going to be negative meaning you only change the sign

SOMEONE PLEASE ANSWER THIS PLZZZ

Answers

Answer:

.14

Step-by-step explanation:

A|B (or A given B)= A and B/B

So

Walk to school | senior= (walk to school and senior)/Senior

walk to school and senior= 5

senior= 25+5+5= 35

5/35= .14

What is the fraction for the following decimal expansion? 0.16

OA. 1/6
OB. 2/25
OC. 1/3
OD. 4/25



Answers

Answer:

D. 4/25

Step-by-step explanation:

As,

0.16

= 16/100

= 4/25. [Taking common factor 4 from both 16 and 100]

What is the length of the hypotenuse of the right angle triangle, keep your answer to 1 decimal place a is 9cm and b is 13cm

Answers

Answer:

15.8cm

Step-by-step explanation:

\sqrt{9^2+13^2} =15.8113883008

15.8cm

Please help me ASAP! and thank you

Answers

Answer:

214°

Step-by-step explanation:

Full circle measure = 360°

Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)

Therefore:

Measure of arc ACB = 360° - arc AB

Measure of arc ACB = 360° - 146°

= 214°

what percent of 98 million is 7740

Answers

Answer:

Step-by-step explanation:

x : 100 = 7740 : 98 000 000

x = (7740 * 100)/98 000 000

x = 0.007898 %

A percentage is a hundredth of a number      Then                                                    [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]                                                      

Find x in the kite below

Answers

Answer:

x = 110

Step-by-step explanation:

comment if you want explanation

Answer:

Step-by-step explanation:

write down five numbers so that the mean is 6 the median is 5 and the mode is 4​

Answers

Answer:

4,4,5,7,10

Step-by-step explanation:

this can be

4,4,5,7,10

5 is in the middle because 5 is median

4 appeared thrice cause it is the mode

and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30

Answer:

The 5 numbers can be: 4, 4, 5, 8, 9.

Step-by-step explanation:

In 4, 4, 5, 8, 9.     5 is the median (The middle number).

The mode is 4 because 4 is the most repeated number.

(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.

Hope this helps! :)

3. Find the equations of the lines that form the sides to the polygon shown below. What type of polygon is it? Explain your reasoning.

Answers

Answer: The question is not complete. the figure is attached below.

The polygon is a rectangle.

Step-by-step explanation:

Line 1 goes through (-2, 3)

hence the slope of line 1 = -3/2

Line 2 goes through (0, 3) (2, 0)

hence the slope of line 2 = -3/2

Line 3 goes through (0, 1) (-3, 1)

hence the slope of line 3 = 2/3

Line 4 goes through (3, 0) (0, -2)

Hence the slope of line 4 = 2/3

therefore -3/2 * 2/3 = -1

Line1 + Line3      Line1 + Line4       Line2 + Line3        Line2+Line4

because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.

The polygon is a rectangle polygon.

What is the area of this figure

Answers

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

The area is 178m squared

Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.​

Answers

2 Answers:

B)  p and the q are switched

C) Neither p or q is negated

========================================================

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not P

Side notes:

The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.

Which of the following is most likely the next step in the series?

Answers

Answer:

You didn't send a picture from that question so we don't know what to do with it.

Graph 3 points on the line y = x+6
Y=x+6
X+y=8

Answers

Answer:

We can first, determine two points on the line:

For:

x

=

0

y

=

0

6

y

=

6

or

(

0

,

6

)

For:

x

=

6

y

=

6

6

y

=

0

or

(

6

,

0

)

Next, we can plot these two points on the grid:

graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)=0 [-20, 20, -10, 10]}

Now, we can draw a line through the two points to graph the line for the equation:

graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)(y-x+6)=0 [-20, 20, -10, 10]}

5. Biking at a constant rate, Elise travels
35 miles in 7 hours. If she travels at the
same speed, how far will Elise bike in
9 hours?
A 5 mi
B 44 mi
C 45 mi
D 63 mi

Answers

the answer is C: 45 miles

Find the area of the square whose length is 3.5 inches?

Answers

Answer:

[tex]12.25[/tex]

Step-by-step explanation:

Area of square is

[tex] {s}^{2} [/tex]

where s is the side length.

3.5 is s so the answer is

[tex]3.5 {}^{2} = 12.25[/tex]

Answer:

Area = 12.25 square inches

Step-by-step explanation:

[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]

Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)

Answers

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

Help, someone please lol

Answers

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

Answers

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Answer:

1=9

2=2

3=0

Step-by-step explanation:

Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y=x+7?
OA. It is the graph of y=x where the slope is increased by 7.
ОВ. It is the graph of y= x translated 7 units to the right.
Oc. It is the graph of y= x translated 7 units up.
OD. It is the graph of y= x translated 7 units down.

Answers

Answer:

Correct Answer is C

since anything after x decides if it goes up or down like +7 goes up -7 goes down i don't know what would be if it goes sideways

What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5

Answers

Answer:

A

8.5 is the answer

If you test is going on so

all the best!

Other Questions
lic/activity/6000001/assessment1 Pretest: Unit 6Question 1 of 21What is the domain of the exponential function shown below?Rx) = 5.3x Question 4 Multiple Choice Worth 2 points)In the diagram below, what is the property of the wave indicated by the letter A?- amplitude- crest-frequency -trough Maria has 72 flowers and four vases she put the same number of flowers in each vase how many flowers are in one vase Identify each of the following reconciling items as:a. an addition to the cash balance according to the bank statementb. a deduction from the cash balance according to the bank statementc. an addition to the cash balance according to the company's recordsd. a deduction from the cash balance according to the company's recordsItem Treatment1. Bank service charges, $30. 2. Check of a customer returned by bank to company because of insufficient funds, $400. 3. Check for $320 incorrectly recorded by the company as $230. 4. Check for $1,100 incorrectly charged by bank as $110. 5. Deposit in transit, $3,300. 6. Outstanding checks, $7,950. 7. Note collected by bank, $10,500. How can I find the answers so I can study them What is the primary hash algorithm used by the NIST project created to collect all known hash values for commercial software and OS files I need help with this question Find the value of x,rounded to the nearest tenth convert the following quantities [tex]25m {}^{2} \: into \: cm {}^{2} [/tex] which graph best represents the line y= -1/5x+2 An educational institution has total direct labor and material costs of $1964 per student. Its fixed costs are $352,800. Total revenues for the year were $1,800,000. It had 800 students in the past year. How many students should they accept in the next year to break even assuming the variable cost margins are equal to this year, and assuming fixed costs are to increase by $19,000 due to increased rent for expansion? (round to the nearest whole number). After the French and Indian War, in 1763, the British gained a lot of land. This meant they had to spend a lot of money on A. the people B. development of the land C. buying land Select the correct answer.Juana can't control the urge to splurge on things she does not need and often runs into financial problems. What disorder does she have What is 30 percent as a fraction The probability that a certain hockey team will win any given game is 0.3669 based on their 13 year win history of 379 wins out of 1033 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.Required:What is the expected number of wins for the month of November? why kg is a fundamental unit? A song form in which the same melody is repeated for each stanza, often heard in popular music, is known as a. strophic form. b. modified strophic form. c. through-composed form. d. bar form. plz help ASAP with explanation Find the area of the figure below I need answers to question 1,2,3