Factor the expression completely: x^4-81

Answer:

126 cm^3

462 cm^3

Step-by-step explanation:

The volume of the triangular prism (green) is the area of the base multiplied by the height.

The base is the front surface which is a triangle with base 6 cm and height 7 cm.

The height of the prism is 6 cm.

V = AH

V = (1/2)bhH

V = (1/2)(6 cm)(7 cm)(6 cm)

V = 126 cm^3

The volume of the green triangular prism is 126 cm^3

The total volume of the composite solid is the sum of the two volumes.

Total Volume = 336 cm^3 + 126 cm^3

Total Volume = 462 cm^3

Answer:

25.44

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 = 0.10t + 4

5 = 0.10t

t = 50 minutes

Answer:

A: Two angles form a right angle.

Step-by-step explanation:

took the test

Answer:

Two angles form a right angle.

Step-by-step explanation:

The first part of the statement, the condition that must be met, is the hypothesis.

9514 1404 393

Answer:

  1.3363

Step-by-step explanation:

The basic idea here is to find an expression for the direction vector between a point on L1 and a point on L2. Then, solve for the points on L1 and L2 that make that vector perpendicular to both lines L1 and L2. (The dot product of direction vectors is zero.) The distance between the points found is the shortest distance between the lines.

__

Let P be a point on L1. Then the parametric equation for P is ...

  P = (6t, 0, -t) . . . . . . origin + t × direction vector

Let Q be a point on L2. The direction vector for L2 is given by the difference between the given points. It is (4-1, 1-(-1), 6-1) = (3, 2, 5). Then the parametric equation for Q is ...

  Q = (3s+1, 2s-1, 5s+1) . . . . (1, -1, 1) + s × direction vector

The direction vector for PQ is ...

  Q -P = (3s+1-6t, 2s-1, 5s+1+t)

The dot product of this and the two lines' direction vectors will be zero:

  (3s+1-6t, 2s-1, 5s+1+t)·(6, 0, -1) = 0 = 13s -37t +5 . . . perpendicular to L1

  (3s+1-6t, 2s-1, 5s+1+t)·(3, 2, 5) = 0 = 38s -13t +6 . . . perpendicular to L2

The solution to these equations is ...

  s = -157/1237

  t = 112/1237

Then (Q-P) becomes (94, -1551, 564)/1237, and its length is ...

  |PQ| = √(94² +1551² +564²)/1237 ≈ 1.3363

The distance between the two lines is about 1.3363 units.

Answer:10,000

Step-by-step explanation:10x100=1000

Each rhombus has four right angles-False

Each square has four right angles-True

Answer:

infinitely many solution

Step-by-step explanation:

Answer:

Any value of x makes the equation true.

All real number

Interval Notation:

(−∞,∞) So it's Infinitely many solutions.

Answer:

12km

Step-by-step explanation:

1 hour = 8 half hour = 4

8+4=12

Answer:

1 1/2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

5+3+5=13

Answer:

200

Step-by-step explanation:

1,000-200=800

800/4=200

Answer:3200

Step-by-step explanation:

1000 subtracted by 200 =800

multiply 800 by 4 =3200

Answer:

=2745

Step-by-step explanation:

=2700+23−44+66

=2723−44+66

=2679+66

=2745

Answer:

C. 40

Step-by-step explanation:

1. To find how many students brought their own lunch, we have to multiply 5/8 by 64.  

Therefore, the answer is C. 40.

×2 multiple with 2

D

enjoy me hard work

Answer:

-5

Step-by-step explanation:

(-3 7/9) - 1 2/9 = -5

Hope this helps :)

Pls make brainliest :3

And have an amazing day <3

Answer:

-5

Step-by-step explanation:

Since the signs are alike, we add and then take the sign

-(3  7/9 + 1 2/9)

-(4 9/9)

-(5)

Answer:

-7

Step-by-step explanation:

Given

a = 7

Since a = 7, then that would mean it the base of the exponent would be replaced to 7 to the second power.

So 7 x 7 = 49 ( multiplied twice itself)

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

7×2-3×7=14-21 = -7

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

Answer:

answer is 11 or 5

Step-by-step explanation:

x+y=16 ------ 1

x-y= 6 ------ 2

______

2x = 22

x =22/2 =11

put the value of x on equation 1

x+y =16

11+y =16

y =16-11 =5

Answer:

First of all this is a negetive slope so it goes down and its y-intersect is -4

and it is a slope of -8/6 or -1 2/3

So the slope is

-8/6-4

Hope This Helps!!!

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}[/tex]

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}[/tex]

We can now easily integrate this expression as follows:

[tex]\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C[/tex]

Answer:

Fran's would have 18 and Mia's would have 12

Step-by-step explanation:

Use the chart you set up in 15a to substitute the values. You look at the corresponding purple shell value to the value of 6 pink shells.

Answer:

x = -3

Step-by-step explanation:

x is -3 in all values so we just write an equation.

Step-by-step explanation:

slope=(-5-9)/-3+3

= undefined

Answer:

25

Step-by-step explanation:

5 x 5 is just a shorter way of saying 5 + 5 + 5 + 5 +5

Answer:

15 miles

Step-by-step explanation:

Step-by-step explanation:

f(0)=0+1=1

f(1)=1+1=2

f(7)=7+1=8

f(8)=8+1=9

f(9)=9+1=10

now you plot these points:

(0,1) (1,2) (7,8) (8,9) (9,10)

and then connect them to get the function

Answer:

5

Step-by-step explanation:

divide 4 by both numbers