Which statement about cones is true? If a cone is intersected by a plane parallel to the base, then the cross section is a triangle. If a cone is intersected by a plane parallel to the base, then the cross section is a triangle. If a cone is intersected by a plane parallel to the base, then the cross section is a square. If a cone is intersected by a plane parallel to the base, then the cross section is a square. If a cone is intersected by a plane parallel to the base, then the cross section is a rectangle. If a cone is intersected by a plane parallel to the base, then the cross section is a rectangle. If a cone is intersected by a plane parallel to the base, then the cross section is a circle.

Answer:

which question you need answered

Step-by-step explanation:

Answer:

0.44237 units

Step-by-step explanation:

Given

[tex]v(t) = e^t*sin(e^t)[/tex]

[tex]0 \le t \le \frac{\pi}{2}[/tex]

Required

The distance traveled in this interval

We have:

[tex]v(t) = e^t*sin(e^t)[/tex]

The distance is calculated as:

[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

Let:

[tex]u = e^t[/tex]

Differentiate

[tex]\frac{du}{dt} = e^t[/tex]

So:

[tex]dt = e^{-t} du[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]

Rewrite as:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]

Integrate:

[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]

Substitute [tex]u = e^t[/tex]

[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]

Split

[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]

[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]

[tex]d(t) = -0.09793 + 0.5403[/tex]

[tex]d(t) = 0.44237[/tex]

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

Answer:

610 cm

Step-by-step explanation:

78.9 x 100 = 7890 cm  85 x 100 = 8,500 cm        

8,500 - 7890 = 610 cm

Answer:

What is the value of X I would say it is 52

Answer:

1%

Step-by-step explanation:

.

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Answer:

Equation is already in factor form

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C:  none

Step-by-step explanation:

Here we have two separate functions named 'y.'  Eliminate 'y' temporarily by equating these functions together:

x + 2 = y = x - 1

Subtracting x from both sides, we get:

0 + 2 = y = 0 - 1, or

       2 = -1

This is never true, so C is the correct answer:  NO solutions.

An easier way in which to do this problem is to visualize the graphs of

y = x + 2 and y = x - 1.  The graphs are parallel straight lines; they never intersect, and therefore we can conclude "no solution."

Answer:

B

Step-by-step explanation:

52.78×6.5%=3.43

52.78×18%=9.50

52.78+3.43+9.50=65.71

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

I would simplify the expression first.

Equation: (6m^-1)^-3

You can get rid of n^0 because that equals 1.

Any expression raised to the power of -1 equals its reciprocal.

Equation: (6/m)^-3

Equation: (m/6)^3

Final Equation: m^3/216

Now, plug in 3.

(3)^3/216.

27/216 = 1/8

Hope this helps!

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

Answer:

3x

Step-by-step explanation:

1/3(3x)=x

Bob has 3x toy race cars

Answer:

Im pretty sure it's 168

Step-by-step explanation:]

9 x 14 = 126

126 ÷ 0.75 = 168

Answer:

If Sandy bought a soft drink for 2 dollars that's 2 dollars subtracted from the total of $12.00 spent

If we have 10 dollars and bought 5 candy bars we would divide so 10 divided by 5 = 2 so each candy bar costed $2 dollars

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

The answer is 14

Step-by-step explanation:

I just took the test and got it right

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

Answer:

Step-by-step explanation:

(b) is correct.  x represents the bill and 0.15 represents the 15% tip on that bill.

I'm pretty Shure it is x<5

here's something to help you-

Hope this helped :T

Answer:

x<5

Step-by-step explanation:

the arrow head pointed towards negative direction... and the unshaded circle shows that the value is less from that point...so the answer is x less than 5

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

[tex]V=s^3[/tex]

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]

Using a calculator: [tex]\frac{729}{91.125} =8[/tex]

Hence, 8 smaller boxes can fit inside of the larger box

Answer:

720 possible orders

Step-by-step explanation:

To order 6 people in a line, let's imagine them as 6 possible spaces:

( )( )( )( )( )( )

Going from left to right, let's start with space 1.

There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.

(6)( )( )( )( )( )

Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:

(6)(5)( )( )( )( )

Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.

(6)(5)(4)(3)(2)(1)

This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.

Multiply them together and we have:

6x5x4x3x2x1 = 720 possible orders.

Hope this helped!

Answer:

We have to arrange 6 people in line

. Now, the number of ways to arrange n items = n!.

Hence, the answer is 6!=

=6×5×4×3×2×1= 720 orders

Answer:

X = 9

I could not find any of the others close to it,, sorry if I’m wrong

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.

Answer:

Choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.

Step-by-step explanation:

Given expression is,

[tex](4^5)(4^3)[/tex]

By applying law of exponents in the given expression,

[tex](4^5)(4^3)=4^{5+3}[/tex]

            [tex]=4^8[/tex]

[tex](4^5)(4^3)=(2^2)^5(2^2)^3[/tex]

            [tex]=(2^{2\times 5})(2^{2\times 3})[/tex]

            [tex]=2^{10}\times 2^6[/tex]  

            [tex]=2^{16}[/tex]

            [tex]=(2^4)^4[/tex]

            [tex]=(16)^4[/tex]

Therefore, choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.

Answer:

What are we meant to do?