3(2^2x+3)-5(2^x+2)-156=0

Answers

Answer 1

Answer: [tex]x=3.0206[/tex]

Step-by-step explanation:

Given

[tex]3(2^{2x}+3)-5(2^x+2)-156=0[/tex]

Replace [tex]2^x[/tex] by [tex]y[/tex]

We can write

[tex]\Rightarrow 3(y^2+3)-5(y+2)-156=0\\\Rightarrow 3y^2+9-5y-10-156=0\\\Rightarrow 3y^2-5y-157=0\\\\\Rightarrow y=\dfrac{5\pm \sqrt{25-4(3)(-157)}}{2\times 3}\\\\\Rightarrow y=\dfrac{5+43.69}{6}\\\\\Rightarrow y=8.115\\\Rightarrow 2^x=8.115\\\therefore \quad x=3.0206[/tex]


Related Questions

list power power set of a:{1,2}​

Answers

Answer:

Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!

Step-by-step explanation:

NEED THIS IN TEN MINS HELP

NO LINKS OR YOU WILL BE REPORTED

Answers

Answer:

a = 34m²

Step-by-step explanation:

Rectangle

a = 3 * 6 = 18

Trapezoid

a = 4 * (2 + 6)/2 = 16

Combined

a = 18 + 16

a = 34

What is the estimate of 35214

Answers

Answer:

4000

Step-by-step explanation:

Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.

Answers

Answer:

use math.way

Step-by-step explanation:

please help and show work

Answers

Answer:

Step-by-step explanation:

x=4

tangent lines from the same point to a circle are congruent in length, so we can say that

5x+8 = 8x-4

5x -5x +8 = 8x - 5x -4

8 = 3x - 4

8+4 = 3x -4 + 4

3x = 12

3x/3 = 12/3

x=4

Which other parts must be equal for triangle ABC= triangle MTR by

Answers

Answer:

see below

Step-by-step explanation:

ASA stands for Angle-side-Angle

thus, for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \angle C \cong \angle R[/tex]

SAS stands for Side-angle-Side

thus,for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]

likewise,

AAS stands for Angle-Angle-Side

thus,for ∆ABC[tex]\cong[/tex]∆MTR

[tex] \displaystyle \angle M \cong \angle T[/tex]

1. Find the value of y when x = 3.
y = 3(x+7) + 12

Answers

y= 42. 3(3+7)+12
3(10)+12
30+12
42
y=42
When x = 3 the value of y = 3(3+7) + 12

y = 3(3+7) + 12
= 42

Look at the two 2s in this number

Answers

Answer: What number?

Step-by-step explanation:

Answer:

In what number... is this a trick question or did you just not finish your question??

Step-by-step explanation:

2) Escreva a expressão algébrica que representa cada uma das seguintes condições:

a) o triplo de um número y somado com um número x______________

b) a diferença entre o quadrado do número a e o dobro do número b___________


c) o quádruplo do número t aumentado da metade do número m____________

d) a diferença entre o produto o produto do número x pelo número y e o quadrado do número

a_________


rápido pfv gnt preciso entregar essa atividade hoje T-T

Answers

Answer:

a) 3y + x

b) a ^ 2 -2b

c) t ^ 4 + m / 2

d) xy - x ^ 2-y ^ 2

Step-by-step explanation:

a) o triplo de um número y adicionado a um número x ______ 3y + x ________

b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____

c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____

d) a diferença entre o produto do produto do número x e o número y e o quadrado do número

The____xy - x ^ 2-y ^ 2 _____

Pls help anyone plsss

Answers

3 times flipped, two sides fo a coin heads and tails, 2/3 meaning most likely

i need the answer!!! please

Answers

Answer:

sinx = e/f

cosx = d/f

tanx = e/d

Step-by-step explanation:

soh cah toa

sin= opposite/hypotenuse

cos= adjacent/hypotenuse

tan= opposite/adjacent

1/6 and 3/8=? what is the answer

Answers

Answer:

4/24 + 9/24 = 13/24

Find a common denominator which would be 24 atleast.

Which expression is equivalent to (x^1/2y^-1/4z)^-2

Answers

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT


What are the zeroes of f(x) = x2 − 2x − 3?

x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1

Answers

Answer:

x=3             x = -1

Step-by-step explanation:

f(x) = x^2 − 2x − 3

Set the function equal to zero

0 = x^2 − 2x − 3

Factor

What two numbers multiply to -3 and add to -2

-3 *1 = -3

-3+1 = -2

0 = (x-3)(x+1)

Using the zero product property

x-3 =0     x+1 =0

x=3             x = -1

Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is 10 meters

Answers

Answer: [tex]78.55\ m^2[/tex]

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]


Adding and subtracting unlike fractions in word problems

Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?

what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) × ​

Answers

B. +

Explanation:
Since your lesson is test is mainly about “adding and subtracting unlike fractions in word problems” then why not choose B?

The question is asking for the TOTAL amount of flour, then the given ingredients are both flours. So you will need to add them.

A brainliest would be nice!
-SpaceMarsh

If A and B are supplementary angles and A is times as large as ​B, find the measures of A and B.

Answers

I can solve this but you never wrote how many times a is bigger than b

Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help

Answers

Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.

Answers

Answer:

3rd one

Step-by-step explanation:

How many blocks having 2m² volume of each are there in a wall having volume 600m³?​

Answers

9514 1404 393

Answer:

  300 blocks

Step-by-step explanation:

The number of blocks is ...

  (600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks

Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *​

Answers

49484758584834:484848488444

Answer:

She makes $114 more doing dishes.

Step-by-step explanation:

(9.30x20)-(7.50x20)

Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?

Answers

$2.78
Explanation: 13.90/5=2.78

PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP. ​

Answers

Answer:

Slope: 2

This is because it is going up two blocks within one block space.

Feel free to mark it as branliest :D

gradient = 2

Rise over Run = 5 / 2.5 = 2

easy algebra question below first correct answer gets brainliest

Answers

hope this helps! I just used pythagoras theorem

Subtract 14pqr − 2qrs + 10prs from 6pqr - 5qrs - 7prs

Help needed and quick!!!!!!

Answers

Answer:

- 8pqr - 3qrs - 17prs

Step-by-step explanation:

(6pqr - 5qrs - 7prs) - (14pqr − 2qrs + 10prs) = (6pqr - 14pqr) + (-5qrs - - 2qrs) + (-7prs - 10prs)

= - 8pqr - 3qrs - 17prs

What is the value of x?
56
89
360
104

Answers

If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Given the measure of three angles 124°,76°,71°.

We are required to find the value of x which is an angle of a quadrilateral.

Quadrilateral is a figure or shape that is having four sides and four angles.

We know that the sum of all four angles of a quadrilateral is 360°.

So the following expression will appear from the above rule:

x+124+76+71=360

Now solve the aove expression for the value of x.

x+271=360

x=360-271

x=89

Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Learn more about angles at https://brainly.com/question/25716982

#SPJ1

find the value of x and y​

Answers

Answer:

5 = y

6.5 = x

Step-by-step explanation:

Since all the angles are the same, you can determine that all the sides are the same lengths.

8 = y + 3

8 - 3 = y

5 = y

8 = 2x - 5

8 + 5 = 2x

13 = 2x

13/2 = x

6.5 = x

Answer:

2x - 5 = 8

+5        +5

2x = 13

Divide by 2 on both sides:

X = 6.5

Y + 3 = 8

-3        -3

Y = 5

They must equal 8 since all sides are the same.

A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.

Answers

Answer:

the height of a square pyramid is 139.3 cm

Please show working out.........

Answers

Answer: Can you put a better picture this is blurry

Step-by-step explanation:

Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *

Answers

I love Marvel but anyways i think it’s 6%

Answer:

6%

Step-by-step explanation:

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