the length of each Edge of a cube is X centimeters. if x is an integer, why can't the volume of the cube equal 15 cm3.​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The volume cannot be 15 cm³ because it is not a perfect cube.

V = x³

let x = 4 then x³ = 4³ = 64 ← a perfect cube

There is not an integer when cubed gives 15


Related Questions

which equation shows 2.4 as the constant of proportionality?

Answers

Answer:

c  a = 2.4b

Step-by-step explanation:

y = kx is the form of the equation where k is the constant of proportionality

y and x can be any letters

Replacing y and x with a and b  and k with 2.4

a = 2.4b

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

what is the answer? ​

Answers

Answer:

6 yards 4 feet 1 inch

Step-by-step explanation:

First, we have the equation:

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

Now, let's add each:

6 yards

3 feet

13 inches

But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:

6 yards

4 feet

1 inch

There you have it!

Happy learning!

--Applepi101

Answer:

7 yds  1 ft 1 inch

Step-by-step explanation:

 4 yards 2 feet 7 inches

+ 2 yards 1 foot 6 inches

------------------------------------------

 6 yards  3 feet  13 inches

13 inches is more than 12 inches (  =1  ft) so subtract 12 inches and add 1 ft

6 yards  3 feet  13 inches

             =1 ft      - 12 inches

-----------------------------------------

6 yds   4 ft    1 inches

4 ft is more than  3f which is 1 yd  ( subtract 3 ft and add 1 yd)

6 yds   4 ft    1 inches

+1 yd  - 3ft

------------------------

7 yds  1 ft 1 inch

50 points! please help!.​

Answers

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x=[tex]\sqrt{49}=7[/tex]

In IV quadrant

Cos angle is positive

Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]

Cos[tex]\theta_{1}=\frac{7}{25}[/tex]

Answer:

cos theta = 7/25

Step-by-step explanation:

sin theta = opp / hyp

We can find the adj side by using the pythagorean theorem

adj ^2 + opp ^2 = hyp^2

adj^2 + (-24)^2 = 25^2

adj^2 +576 = 625

adj^2 =625 -576

adj^2 = 49

Taking the square root of each side

adj = 7

Since we are in the 4th quadrant, adj is positive

cos theta = adj / hyp

cos theta = 7/25

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer: y= 3+x

Step-by-step explanation:

Answer: y = x - 3

First, find two points on the graph:

(x₁, y₁) = (3, 0)(x₂, y₂) = (0, -3)

Substitute in the points to the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-3}=\frac{-3}{-3}=1[/tex]

Substitute in a point to the function [tex]y=1x+b[/tex] to find the y-intercept(b):

[tex]-3=1(0)+b\\b=-3[/tex]

Therefore, the function is:

[tex]y=x-3[/tex]

find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial​

Answers

Compute the quotient and remainder,

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]

The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means

[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]

and

[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]

Only k = -3 makes both remainder terms vanish.

Then the previous result reduces to

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]

so that

[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]

and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.

Divide. Write your answer as a decimal.

8.722÷(−3.56)=

Answers

Answer:

-2.45

Step-by-step explanation:

I used a calculator to find this so I hope it helps :)

I NEEDDD HELPP ITS URGENTTT. !!

Answers

Answer:

use the information provided to write the standard form equation of the circle

1. ends of a diameter: (11,-6) and (1,14)

use the information provided to write the genral conic form equation of each circle.

1. three points of the circle:

( 7,-4)(-3,-4) and ( 6,-7)

identify the centere and radius. then sketch the graph

1. x^2+y^2-4x-14=0

Please help!! Which transformations would result in a geometric figure that is exactly the same size and shape as triangle DEF? Check all that apply.

Answers

Answer:

A, B, C

Step-by-step explanation:

none of the 4 options changes the shape.

but D changes the size.

C is the only one that also maintains the orientation of the triangle - it only shifts its position.

A and B maintain size and shape, but they do change its orientation.

PLEASE HELP!! I'LL GIVE OUT BRAINLIEST.

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
? yards = 3/4 of a mile.

Answers

Answer:

1320 yds

Step-by-step explanation:

1 mile = 1760 yds

3/4 mile * 1760 yds/ 1 mile

1320 yds

Answer:

1 mile = 1720 yard

______ ________

0.75 x

cross multiply and solve for x

1320 yards is the answer

good luck in the future..

Determine the measure of the interior angle at vertex F

Answers

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq

Answers

Answer:

8r+8pg-pq

Step-by-step explanation:

The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg

Hope this helps!

2x2
The value of the expression + x(100 - 15x) when x = 5 is
X

Answers

Answer:

129

Step-by-step explanation:

2*2+x(100-15x)

2*2+5(100-15*5)

2*2+5(100-75)

2*2+5*25

4+125

129ans

Ya and Yb represent continuous linear relations. Some values from the relations are shown in the
table below. Graphically solve the linear system.

Answers

The solution to the continuous linear relation is: (2,-7)

The data on the table can be presented as:

Relation A

[tex](x_1,y_1) = (-8,-5)[/tex]

[tex](x_2,y_2) = (-3,-6)[/tex]

Relation B

[tex](x_1,y_1) = (-8,-15)[/tex]

[tex](x_2,y_2) = (-3,-11)[/tex]

Plot the points of each relation and draw a line through the points (see attachment)

Write out the point of intersection of the two lines.

[tex](x,y) = (2,-7)[/tex]

Hence, the solution to the continuous linear relation is: (2,-7)

Read more at:

https://brainly.com/question/20291958

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth

Answers

Answer:

28.3

Step-by-step explanation:

Use the Tangent

Tan(theta) = opposite over adjacent.

opposite (defined as the line that does not make up the angle) = 17

Theta = 31

adjacent (one of the lines making up the angle) = x

Tan(31) = 0.6009

Tan(31) = 17/x             Multiply both sides by x

x*tan(31) = 17              Divide by tan 31

x = 17/tan31

x = 17 / 0.6009

x = 28.29

Rounded to the nearest 1/10 is 28.3

Simplify
1/2 - 3 (1/2 + 1)*
Enter your answer in the box as a fraction in simplest form.
&

Answers

Answer:

Final answer is  ---> -4

Step-by-step explanation:

Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )

Answers

Answer:

[tex] = { \tt{(0, \: 0)}}[/tex]

Step-by-step explanation:

Let:

[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]

Substitute for y in equation (b) to equation (a):

[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]

Also, y = 0

Which of the following is the function for the graph? Choices/graph below.

Answers

set x=0 to get insights.

at x=0 to the functions are

-2(0-2)²+3 = -5

-2(0+2)²-3 = -11

-2(0-2)²+3 = -5

-2(0-2)²-3 = -11

weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.

maybe a + was intended inside the parentheses, dunno.

option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same

Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)

Answers

Option A, she added the one on both sides which makes it addition property of equality

Find the area of triangle ABC.

A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²

Answers

Answer:

[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]

Step-by-step explanation:

The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:

[tex]a\implies 7.39[/tex] [tex]b\implies 9.75[/tex] [tex]\gamma \implies 36.43^{\circ}[/tex]

Substituting these values into our area formula, we get:

[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]

x^2 +12x +36=0
-------

Answers

Answer:

x = -6

Step-by-step explanation:

x^2 +12x +36=0

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 = 12

(x+6) (x+6) = 0

Using the zero product property

x+6 = 0  x+6 =0

x=-6   x=-6

Since they are the same we only list the solution once

Answer:

[tex]-6[/tex]

Step-by-step explanation;

[tex]x^{2} +12x+36=0[/tex]

Comparing with ax² +bx² + c=0

where a =1 , b=12, and c= 36

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

substituting the values of a, b, and c to find the value of x

[tex]x=\frac{-12\pm \sqrt{12^2-4\cdot \:1\cdot \:36}}{2\cdot \:1}[/tex]

[tex]x=\frac{-12+,-\sqrt{144-144} }{2}[/tex]

[tex]x=\frac{-12+,-0}{2} =-6[/tex]

OAmalOHopeO

A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales

Answers

Answer:

I am not sure on the answer but i think its $9,000

Step-by-step explanation:

11,000x0.20=2,200

2,200+11,000=13,200

22,200-13,200=9,000

which would mean she got $9,000 from commissions.

if you did 100,000x0.03=3,000

9,000/3,000= 3

so she would have had 3 commissions worth over 100,000

yx(y+1) + 4x(y + 1) - 5(y + 1) factor

Answers

( yx + 4x - 5 )( y + 1 )

.....................................

[tex]5^{-3}[/tex] rewrite as an equivalent expression

Answers

Answer:

the equivalent equation of

[tex]5^{-3}[/tex]=[tex]\frac{1}{5^{3}}=\frac{1}{125}[/tex]

A shopkeeper selling an article at a discount of 25% looses Rs.125.If he allows 10% discount he gains Rs 250.Find the marked price and the costprice of the article. ..............(Plz send the ans clearly if you send the ans clearly I will mark you as a brainliest)​

Answers

Answer:

i dont know

but try you will get the answer

What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?

Answers

Answer:

(x-3)(5x+4)

x=3 x=-4/5

Answer:

(5x + 4)(x - 3)

Step-by-step explanation:

Hello!

Factor:

5x² - 11x - 12

Think: What two numbers add up to -11 but multiply to (5)(-12)?

Answer: -15 and 4

Continue:

5x² - 11x - 125x² - 15x + 4x - 12       Expand with the values we found5x(x - 3) + 4(x - 3)        Factor by grouping(5x + 4)(x - 3)

The factored expression is (5x + 4)(x - 3)

x^2-4x^2y^2+y^2+2*x*y

Answers

Answer:

(x + y - 2xy)*(x + y + 2xy)

Step-by-step explanation:

x^2-4x^2y^2+y^2+2*x*y

=x^2 + 2xy + y^2 - (2xy)^2

=(x + y)^2 - (2xy)^2

=(x + y - 2xy)*(x + y + 2xy)

find the largest value :
A=5-x^2+2x

Answers

Answer:

6

Step-by-step explanation:

A=5-x^2+2x

Rewriting

A = -x^2 +2x+5

This is a downward opening parabola so the maximum value is at the vertex

Factor out the negative sign out of the first two terms

A = -(x^2 -2x)  +5

Complete the square

-2/2 = -1   -1^2 = 1

Add 1 inside the parentheses  Remember the negative sign out front so -1(1) is really adding -1  so we need to add 1 outside of the parentheses

A = -(x^2-2x+1) +1  +5

A = -(x-1)^2 +6

This is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

The maximum occurs at x=h and the value is k

The maximum is 6

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used

Answers

Answer:

[tex]n=35[/tex]

Step-by-step explanation:

From the question we are told that:

Standard Deviation [tex]\sigma=4min[/tex]

Let

[tex]CI=95\%[/tex]

Since

Significance level [tex]\alpha[/tex]

[tex]\alpha =1-CI[/tex]

[tex]\alpha =1-0.95[/tex]

Therefore

[tex]Z_{\alpha/2}=Z_{0.025[/tex]

[tex]Z_{\alpha/2}}=1.96[/tex]

Generally the equation for Sample size is mathematically given by

[tex]n = (Z_{\alpha/2}* \frac{\sigma}{E})^2[/tex]

[tex]n= \frac{1.96 * 3}{1}^2[/tex]

[tex]n=35[/tex]

The amount of grain that a shape will hold is called the surface area.

True
False

Answers

false because the grain the shape will hold is called the surface area

Answer:

false =D

Step-by-step explanation:

Resolve into factor :(a+b) ^3+1​

Answers

use the formula a^3+b^3=(a+b)^3-3ab(a+b)

in above question assume (a+b) as a and 1 as b

take help of file above

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