2^{2x}-5\cdot2^{x}+4=0

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

follow the rule

[tex]\\ \sf\longmapsto \dfrac{a+b}{c-d}[/tex]

To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator

Like

[tex]\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}[/tex]

Here correct option is C

Answer:

Step-by-step explanation:

0.9*2b = 1.8b

0.9*-1 = -0.9

So far we have 1.8b-0.9. It can't be simplified further.

Then, we add the 2nd part, -0.5b+1.

We have:

1.8b-0.9-0.5b+1. Next we combine like terms.

1.8b-0.5b = 1.3b.

-0.9+1 = 0.1

Then we put it together.

1.3b+0.1 is our answer.

Hope this helped! Have a nice day :D

Hi there!  

»»————-　★　————-««

I believe your answer is:

1.3b + 0.1

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

Answer:

Step-by-step explanation:

See the table made based on the given values.

It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.

So we can say that:

Correct choice is C

Answer:

Step-by-step explanation:

Answer:

I believe it's 12 in.

Step-by-step explanation:

hope this helps you!

Answer:

hope that helps i don't know it either tho

Answer:

Earnings = 475

Step-by-step explanation:

She gets a straight salary of                                            250

She sold  3000 worth of merchandise            3000

She receives a commission on anything over 1500             Subtract

She gets a commission on                                 1500

15%  of 1500 = 15/100 * 1500                                         225

Earnings                                                                          475  

Answer:

Answer:

197 is the missing side of the triangle

Answer:

120

Step-by-step explanation:

Given,

t = 2

s = 10

3 t^2 s

= 3 x 2^2 x 10

= 3 x 4 x 10

= 120

Answer:

Step-by-step explanation:

Hello!

t² = 2²=4

3*4*10 = 120

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

Read more about exponents at; https://brainly.com/question/18248071

Answer:

x ≈ 14.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )

x × tan73° = 48 ( divide both sides by tan73° )

x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )

Answer:

[tex]a^3b^2c^6[/tex]

Step-by-step explanation:

[tex]n^x*n^y=n^{x+y}[/tex]

so

[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]

[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]

[tex]c^4*c^2=c^{4+2}=c^6[/tex]

put it all together

[tex]a^3b^2c^6[/tex]

Answer:

It is the last option.

Jordan needs 1 1/2 cups of diced chicken for 3 salads.

To make this easy for you.

1. start on the x axis which is number of salads.

2. Go to the number 3 (of the x axis which is the number of salads)

3. Find your way up to the point marked.

4. see what is your number in the y-axis (in this case it is 1 1/2.

Step-by-step explanation:

I hope it helps!

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

Learn more about numbers click;

https://brainly.com/question/24908711

#SPJ4

Answer:

In other words: The human body consists of some 37.2 trillion cells.

Step-by-step explanation:

can somebody explain how they got 37.2 trillion cells.!!!

please helpppp

Answer:

About 4%

Step-by-step explanation:

6x10=60

52x20=1040

5x30=150

5x40=200

1x60=60

Total Points available:1510

Final Exam is 60 points

60/1510=0.0397

If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.

Answer: Perimeter = 10.5 cm

Step-by-step explanation:

Concept:

Here, we need to know what is an equilateral triangle.

An equilateral triangle is a triangle in which all three sides have the same length.

Perimeter = 3a

a = side length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

a = 3.5 cm

Given formula

Perimeter = 3a

Substitute the value into the formula

Perimeter = 3 (3.5)

Simplify

Perimeter = 10.5 cm

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1) 0.7104 = 71%

2) 0.6615 = 66%

3) 0.8944 = 89%

Step-by-step explanation:

1)

Z(low)=-2.333 0.009815329

Z(upper)=0.583 0.720165536

2)

Z(low)=0.333 0.63055866

Z(upper)=8322.908 1

3)

Z(low)=-10.417 0

Z(upper)=1.25 0.894350226

Answer:

An isometry preserves all the following except orientation .

Step-by-step explanation:

what does this problem description really say ? what is the area of that square ?

36 ?

s3×6 ?

s³×6 ?

5³×6 ?

2³×6 ?

(5×3)×6 ?

(2×3)×6 ?

and these are just the options that I can see right away without really thinking about it.

in any case, the solution is to draw the square root of the area, and then multiply the result by 4.

why ?

because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².

therefore, sqrt(area) = sqrt(length²) = length.

and the perimeter of the square is the way all around the whole square (4 sides), which is then

length + length + length + length = 4×length

from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.

as the area would be in both cases 36.

sqrt(36) = 6

and the perimeter would be 6×4 = 24

Answer:

Here is your answer!

Answer:

The answer is 43.52 you're welcome

25 is your answer if i am sure, the question was confusing tho.

Answer:

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have;

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5

The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Answer:

A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Step-by-step explanation:

Answer:

B

when you input the first value of y which is -2

-2+2=(4/5)(x+9)

0=(4x+36)/5

multiply both sides by 5

0=4x +36

4x =-36

divide both sides by 4

x=-9

if you like my answer mark as brainliest