How to convert 243 base five to base ten

Answer:

The area of trapezoid is:

Since the area is less than 18 cm², the inequality is:

Simplify by dividing both sides by 6:

Area of trapezoid

Now

[tex]2 {x}^{2} - 4x + 2 \\ \\ 2(x {}^{2} - 2x + 1 )\\ \\ 2(x - 1) {}^{2} [/tex]

2x² -4x + 2

▶️2x² - 4x + 2

▶️2 (x² - 2x + 1)

▶️2 (x-1)²

=> 2(x−1)²

[tex] \large \mathfrak{Answer : }[/tex]

Scientific notation for above vLue is :

Answer:

Step-by-step explanation:

Subtract both sides by 4w

q - 4w = 4n

Divide both sides by 4

n = q - w

Answer:

y =-5x-17

Step-by-step explanation:

Slode-intercept is

y = mx + c

The first step is to find the slope, that is the m

To do that, use this formula

Y2 - y1

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

X2- x1

And u will get - 5

Now since u got m, u also actually have y and x, those are the coordinates they gave u. U can choose either one,(-3, - 2) or (-4, 3), cuz they would give u the same answrs

So let's say I chose (-4, 3)

So x = - 4, y = 3

y=mx +c

3= - 5(-4) +c

C = - 17

Therefore your end product will be

y = - 5x - 17

Answer:

1,558 cases of 12 cans of soup can be made

Step-by-step explanation:

Here, we want to calculate how many cases of cans of soup can be made;

In the first part, we had 325 cases of 24 cans Now, if we split the 24 cans into 2 , we have 12 cans ;

So the number of cases is now 325 * 2 = 650 cases

In the second part, we had 227 cases of 48 cans.

If we split 48 cans into 4 , we can have 12 cans.

So the new number of cases here become 227 * 4 = 908 cases.

So the total number of cases we have will be; 908 + 650 = 1,558 cases

Hope it helps :)

Answer:

[tex] \sqrt{7x + 2} \\ [/tex]

for answer please see

Answer:

8.1

Step-by-step explanation:

use phythagoras theorem

since you have a hypotenuse and one known side you must equate the unknown side with the known sides and square two known side ,9^2-4^2= 62 then you must get the unknown side by introducing a square root and rounding off to the nearest decimal

There is probability of 7/8 of not getting yellow.

Answer:

Answer: KL is 10

Step-by-step explanation:

JL = JK + KL

first get value of x:

[tex]26 = (8x + 8) + (3x + 7) \\ 26 = (8x + 3x) + (8 + 7) \\ 26 = 11x + 15 \\ 11x = 26 - 15 \\ 11x = 11 \\ x = 1[/tex]

therefore,

[tex]KL = 3x + 7 \\ = (3 \times 1) + 7 \\ = 3 + 7 \\ = 10[/tex]

Answer:

A

Step-by-step explanation:

Here we have a problem of composition of functions.

Remember that:

(f ° g)(x) = f( g(x) )

Now we have the table:

x      | 1 2 3 4 5 6

f(x)   | 6 4 4 1 6 4

g(x)  | 5 5 2 1 4 3

Using the table, we want to find:

To read the table, for example for f(5) first you go to the "x" part of the table and find the 5.

Now you go to the f(x) table and see which is the value of f(5), in this case, we can see that f(5) = 6.

a)  f(g(1))

First, looking at the table, we can see that:

g(1) = 5

Then:

f(g(1)) = f(5)

Again, looking at the table we can see that f(5) = 6

Then we have:

f(g(1)) = 6

b) g(f(1))

Same approach as before:

f(1) = 6

then g(f(1)) = g(6)

And looking at the table, g(6) = 3

Then:  g(f(1)) = 3

c)  f(f(1))

f(1) = 6

f(f(1)) = f(6) = 4

f(f(1))  = 4

d)  g(g(1))

g(1) = 5

then:

g(g(1)) = g(5) = 4

g(g(1)) = 4

e) (gof)(3)

This is equal to:

(gof)(3) = g(f(3))

we know that f(3) = 4

then:

g(f(3)) = g(4) = 1

(gof)(3) = 1

f) (fog)(6) = f(g(6))

We can see that:

g(6) = 3

then:

f(g(6)) = f(3) = 4

Concluding:

(fog)(6) = 4

If you want to learn more, you can read:

https://brainly.com/question/8308119

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3

Answer:

D

Step-by-step explanation:

Distribute 10 in the equation

10 x 3 + 10 x 4 = 70

Answer D. 10(3+4)

10(3+4)

30+40

Answer:

Marcia's cord will begin to stretch after [tex]2.24\:\rm{s}[/tex].

Step-by-step explanation:

The expression used to find displacement is given as,

[tex]s=ut+\dfrac{1}{2}at^{2}[/tex]

The initial velocity of Marcia before leaping is zero, so [tex]u=0\:\rm{m/s^{2}}[/tex].

Marcia travels under the influence of gravity and fall freely so the acceleration due to gravity is only acceleration responsible for her movement.

The value for [tex]g[/tex] is [tex]10\:\rm{m/s^{2}}[/tex](approximately) and when it is converted in [tex]\:\rm{ft/s^{2}}[/tex], it is [tex]32\:\rm{ft/s^{2}}[/tex].

Substituting the values, the distance that Marica travels under influence of gravity for [tex]t[/tex] seconds is,

[tex]\begin{aglined}s&=ut+\dfrac{1}{2}at^{2}\\s&=(0)t+\dfrac{1}{2}gt^{2}\\s&=0+\dfrac{1}{2}(32)t^{2}\\s&=16t^{2}\end{aligned}[/tex]

The bungee cord begins to stretch after Marcia has fallen [tex]80\:\rm{ft}[/tex], so

[tex]\begin{aligned}s&=16t^{2} \\80&=16t^{2} \\t^{2} &=5\\t&=2.24\:\rm{s}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

You have to be assured that x really is even. In this case (and the question has a flaw in it) , you assume that x is even. Normally you would multiply x by 2 to get 2x. Now you know it is even, but it is the number not required of you.

So we will assume it is even.

x + x + 2 + x + 4                Combine like terms

x + x + x = 3x

2 + 4 = 6

Answer: 3x + 6

Answer:

3.2 cm

Step-by-step explanation:

800 m = 80000 cm (as every meter has 100 cm).

now, on the map that distance goes down 1/25000th of the original distance.

so,

80000 / 25000 = 80/25 = 16/5 = 3 1/5 = 3.2 cm

Step-by-step explanation:

2x-18 ≥ 0

2x ≥ 18

x ≥ 9

and

3x -27 ≠ 0

3x ≠ 27

x ≠ 9

so, the answer is <9 ; +oo >

Step-by-step explanation:

in addition to a label what other piece of information must the axis on a graph include

Answer:

Step-by-step explanation:

y = x 2 + 91

Explanation:

Let the number be  x

, then  Square of the number is  x ^2

91 more than the square of a number" will be  x^ 2  +  91

So, we can write it as an algebraic expression with two variables as :

y = x ^2  +  91

Answer:

The bisector is line l

mq = 7

Step-by-step explanation:

To find x:

[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]

To find the value of mq

plug in the value of x into the equation.

[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]

MQ = 7

Hope this is helpful! Please leave a review and comment below! Thanks for all your support!  

b. B

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

Answer:

87, 88, 89

Step-by-step explanation:

x + x+1 + x+2 = 264

3x + 3 = 264

3x = 264 - 3

x = 261/3

x = 87

Answer:

simplifed   -10/27

Step-by-step explanation:

Step-by-step explanation:

8.D

9.D

10.B

11. 120

12.C

13.D

14a.95

14b.180

15.5

(sin²(x) - 1)/cos(x) = -1

-cos²(x)/cos(x) = -1

-cos²(x) = -cos(x)

cos²(x) - cos(x) = 0

cos(x) (cos(x) - 1) = 0

Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.

Answer:

Step-by-step explanation:

There are 26 possibiliteis of the first and last initials. So there are [tex]26\times 26[/tex] different initials.

So the smallest class size to ensure the Prof to use different system is [tex](26\times 26)+1[/tex] since there must be two people in this class with the same first and last initials.