Rationalize the denominator in the expression.
[tex] \frac{4}{\sqrt{2} } [/tex]
​

Answer:2/4

Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Answer:

see explanation

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is

b² - 4ac > 0

x² + x + c = 0 ← is in standard form

with a = 1, b = 1, c = c , then

b² - 4ac > 0

1² - (4 × 1 × c) > 0

1 - 4c > 0 ( subtract 1 from both sides )

- 4c > - 1

Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.

c < [tex]\frac{1}{4}[/tex]

Answer:

3/5

Step-by-step explanation:

it is between 2/3 and 4/7

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

Answer:

About 11 Weeks

Step-by-step explanation:

I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

Divide both sides by W to isolate L:

[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]

[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]

Substitute the values for the area and the width of a rectangle:

[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]

L = 36 yd

Therefore, the length of a rectangle is 36 yards.

Answer: No, it's not

Step-by-step explanation:

19*2=38

50-38 = 12

Alex awnsered 29 which is $17.00 off.

Answer: [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]

Step-by-step explanation:

First, since the two roots (7) are the same, you subtract the exponents, which gives you -6 - 2 to get -8, giving you [tex]7^{-8}[/tex]

Next, you change [tex]7^{-8}[/tex] to [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]

I hope that helps :)

Answers: Choice B and Choice D.

[tex]\angle ABE \cong \angle CDE[/tex]  and [tex]\overline{AE} \cong \overline{CE}[/tex]

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

Explanation:

The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]

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

The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.

Answer:

B & D  or <ABE=<CDE, AE=CE

Step-by-step explanation:

I got it right on khan

y=5/6x+8

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

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

Answer:

Perimeter of trapezoid ABCD is 22.8

Step-by-step explanation:

6 + 6 + 8.2 + 2.6 = 22.8

I hope this helps!

Answer:

32

Step-by-step explanation:

This is a division problem.

12 divided by 3/8.

12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32

Answer: 32

Answer:

161.5 $

Step-by-step explanation:

the cost of table after the discount = 100% - 20% = 80%

the cost of table after the discount = Original cost × 80%

=(190)(0.8)

=152 $

the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)

=152+(190)(0.05)

=152+9.5

=161.5 $

So... The total amount will Joel pay for the tablet = 161.5 $

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

261 - 256 - 251

-5 by step

to 50th term there is 49 -5's from 261.

261 + 49.(-5) = 261 - 245 = 16

Answer:

16

Step-by-step explanation:

The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.

General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]

where An = nth term, a1 = first term , n = number of terms and d = common difference.

The first term is 261 so a1 = 261

The common difference appears to be -5

( 256 - 261 = -5 ) and ( 251 - 256 = -5 )

so d = -5

We want to find the 50th term so n = 50

We then plug all of this in to get the 50th terms

Formula : [tex]a_n=a_1+(n-1)d[/tex]

a1 = 261 , n = 50 and d = -5

[tex]a_n=261 + (50-1)-5[/tex]

subtract 1 from 50

[tex]a_n=261+(49)(-5)[/tex]

multiply 49 and -5

[tex]a_n=261-245[/tex]

subtract 245 from 261

[tex]a_n=16[/tex]

The 50th term is 16

Answer: 6. 35 hours

7. 741 Miles

8. 1.5 or 1.54

Step-by-step explanation:

6. 142.20/6=23.7

829.50/23.7=35

7. 117/3=39

39x19=741

8.19/12.35=1.538

Answer:

WHAT is to solve their is notting

Step-by-step explanation:

Answer:

Which one is underlined?

Step-by-step explanation:

the frist 5 is in the 100 millionth place

the frist 0 is in the 10 millionth place

the frist 4 is in the 1 millionth place

the second 4 is in the 100 thousand place

the second 0 is in the 10 thousand place

the second 5 is in the 1 thousand place

the 6 is in the 100s place

the 2 is in the 10s place

and the 3 is in the 1s place

Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜

Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.

Answer:

yea no

Step-by-step explanation:

i really don't know sorry tho

Answer:

9 = x + y

1x + 1.5y = 12

Step-by-step explanation:

9 (number of items) = x (number of pencils) + y (number of pens)

1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)

Answer:

12 units squared

Step-by-step explanation:

This requires a 3-step solution.

1. The triangle on the left:

   To get an area for a triangle, you do: base times height divided by 2.

   You get 4/2, which is 2 units squared for the first triangle.

2. The square:

   Pretty easy, it is 2 x 2 which is 4.

3. The last triangle:

   Same thing as the first triangle, 2 x 6 divided by 2.

   You get 12/2 which is 6.

To get the final area: You add them up.

2 + 4 + 6, which is 12.

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit