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

HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins

Answers

Answer:

x = 15

m<RQP = 33degrees

Step-by-step explanation:

From the given diagram, m<P = 90degrees

Equating this to 5x+15

5x+15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15

m<RQP = 2x+3

m<RQP = 2(15) + 3

m<RQP = 30 + 3

m<RQP = 33degrees

write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!

Answers

Answer:

y=-6x=2

Step-by-step explanation:

y= mx+b

m=slope

b=y-intercept

Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?

A) 200
B) 15
C) 185
D) 0

Answers

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:

You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and then flipping heads. The probability is %

Answers

Answer:

1/10

Step-by-step explanation:

P heads,even,heads = P heads * P even *P heads =

1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10

Which number is equivalent to 2^3x = 10

Answers

Answer:

5/4

Step-by-step explanation:

see steps below:)

Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?

Answers

Answer:

He would have 11/4 gallons of lemonade or 2 3/4

Step-by-step explanation:

I need the answer Immediately before it’s due!!!!!!!!

Answers

y = -1/2x - 1
——————-

Solve the system of equations.

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 3y = 5

3y = -x + 5

y = -1/3x + 5/3

-x + 6y = 4

-x + 6(-1/3x + 5/3) = 4

-x - 2x + 10 = 4

-3x = -6

x = 2

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

Which description represents the equation 7x - 2 = 33?

1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.

Answers

i’m pretty sure it would be 1. two less than seven times a number equals thirty-three

Hi there!  

»»————- ★ ————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————- ★ ————-««  

Here’s why:  

We are given the equation of  [tex]\boxed{7x-2=33}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————- ★ ————-««  

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

In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?

Answers



x = number of questions

3y = points for a correct answer
-1x or -x = points for an incorrect answer

Adding up the correct and incorrect points/answers gives us the final score. We can solve to see how many questions were incorrect. (We are told 10 were correct)

3y + (-1x) = 20
3(10) + (-1x) = 20
30 - x = 20
10 = x
x = 10

So she got 10 correct and 10 incorrect, and there were 20 questions in all.

Options
26%
40%
90%
50%

Answers

Answer:

not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:

A table of values of a linear function is shown below.


Find the slope and y-intercept of the function's graph, and find the equation for the function.

Answers

slope: -3
y-intercept: (0,-7)


[tex]5x + 11(7x - 3[/tex]

Answers

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

25 POINTS!!!!!!
ANSWER THE QUESTION BELOW

Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.

what is the tan K? need help

Answers

Answer:

i have no clue

Step-by-step explanation:

I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *

* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease

Answers

20% decrease Z z. Z xx. X

given the figure below find the value of x and z

Answers

Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself

Step-by-step explanation:

Lolol

The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.

Answers

Answer:

7 hours

Step-by-step explanation:

Rental cost :

Fixed pay = $20

Hourly cost = 2.65

To obtain the minimum rental hour, we work with the least amount that can be spent ;

For tourist that can spend more than $37 but less than $65

Total cost of rental :

20 + 2.65h ; h = number of hours

When total cost > 37

20 + 2.65h > 37

2.65h > 37 - 20

2.65h > 17

h > 6.415

Hence, the minimum whole hour of bicycke rental is 7 hours

hey! i’ll give brainliest please help

Answers

Answer:

C

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).

Hope this helps!

I need help with these

Answers

it can be written as (15+2)x

1/2x9
step by step please

Answers

[tex]4.5[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} \times 9 \\ = \frac{1 \times 9}{2} \\ = \frac{9}{2} \\ = 4.5[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

so you multiply the numerator which is 1x9= 9
and you leave the denominator alone which will be 9/2 then divide 9*2 which will be 4.5. Hope it makes it easier for you.

Help I suck at math

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income

Answers

Answer:

3750$

Step-by-step explanation:

Let x be the amount in dollars of sales:

125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)

0.02x = 75

x = 3750

An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40

Answers

Given:

An isosceles triangle has an angle that measures 40°.

To find:

The other possible angles of the triangle.

Solution:

Case 1: 40° is the measure of base angle of isosceles triangle.

Then, the other base angle is 40°.

Let x be the measure of third angle.

The sum of all interior angles of a triangle is 180 degrees. So,

[tex]x+40^\circ+40^\circ=180^\circ[/tex]

[tex]x=180^\circ-40^\circ-40^\circ[/tex]

[tex]x=100^\circ[/tex]

So, the possible angles are 40° and 100°.

Case 2: 40° is the measure of vertical angle of isosceles triangle.

Let y be the measure of base angles, then

[tex]y+y+40^\circ=180^\circ[/tex]

[tex]2y=180^\circ -40^\circ[/tex]

[tex]y=\dfrac{140^\circ}{2}[/tex]

[tex]y=70^\circ [/tex]

So, the possible angles are 40° and 70°.

Therefore, the correct options are A, B and D.

can some help me with this

(you can pick more than one for each column)

Answers

Answer:

no no nlnnlnl

Step-by-step explanation:

no sorryyy

i need a picture so i can get it right

what is the area of a triangle with base 18cm and height 4cm

Answers

Answer: The area of the triangle would be “36cm^2”

Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.

Have a nice day!

Answer:

Area=36

Step-by-step explanation:

18x4=72

72/2=36

20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.

Answers

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]

Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half

Answers

Answer:

Logan played for 22 minutes during the second half.

Step-by-step explanation:

Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:

Second Half Total - Time Played by Wilson = Time Played by Logan

40 - 18 = X

22 = X

Therefore, Logan played for 22 minutes during the second half.

HELP ASAP TEST IS ONLY 45 MINUTES
Solve the inequality. x – 3 < -2
a) x > 1
b) x < 1
c) x > 1
d) x < 1

Answers

Answer:

x<1 [the answer is positive, not negative btw]

I think you forgot to put the negative sign for two of the answer choices..

Step-by-step explanation:

answer is x<1

Step-by-step explanation:

x is less than 1

Solve for x Show your work

Answers

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

Which cancels 3 out, and you are left with

x = 12.

Other Questions
Determine the amount of work done by the applied force when a 87 N force is applied to move a 15 kg object a horizontaldistance of 4.5 meters at a constant speed. Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."What are the next four terms in each pattern?Enter your answers in the boxes. Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?A B C D +$20.20 -$20.30 -$1.20 +$18.80 HELP PLISSWhich Trig ratio should be used to find the missing side?A.SinB.CosC.Tan Which of the following statements is true about harriet beecher stowe? During the month of June, Addison kept track of the number of days she saw birds in her garden. She saw birds on 18 days of the month. What is the experimental probability that she will see birds in her garden on July 1? (There are 30 days in June) HURRYYYYY PLEASE Which statement discusses the gland(s) and hormone(s) that are most involved in regulating a fight-or-flight response? The pancreas produces insulin. The adrenal glands produce epinephrine. The ovaries produce estrogens. The parathyroids produce parathyroid hormone. i need this done fast factorizar A- m+125B - 125a + 150a b + 60ab + 8b A piston is resting halfway into a cylinder containing gas in thermal equilibrium. The layer of molecules next to the closed end of the cylinder is suddenly flash-heated to a very high temperature. Which best describes what happens next Volumes and circlesDetermine the amount of space ( volume) hes allowed for the potted plant in the bottom of the greenhouse who shape is a rectangle or prism. Plz help!Describe three different ways in which you can build your social capital. Simplify the ratio 6 doctors to 27 patients Lines 111115: How does Salak use rhetoric or language to support her point of view? does anyone know who is ronaldo the judge is asking Who was responsible for creating the Great Compromise? Roger ShermanWilliam PatersonGeorge WashingtonJames Williams What percent of 8 is 6? pls give a detailed explanation thanks Which action was unique about the 2008 presidential election?For the first time, neither party nominated a white man for president.Neither candidate had served in an elected office before.It was the first election in which a woman had a very good chance of winning a major party's nomination.The Republican party nominated an African American for the first time. In fruit flies, the phenotype for eye color is determined by a certain locus. E indicates the dominant allele and e indicates the recessive allele. The cross between a male wild-type fruit fly and a female white-eyed fruit fly produced the following offspring. Wild Type Male Wild Type Female White-eyed Male White-eyed Female Brown-eyed Female F1 Generation 0 45 55 0 1The wild-type and white-eyed individuals from the F1 generation were then crossed to produce the following offspring. Wild Type Male Wild Type Female White-eyed Male White-eyed Female Brown-eyed Female F2 Generation 23 31 22 24 0Required:a. Determine the genotypes of the original parents (P generation) and explain your reasoning.b. Use a Chi-squared test on the F2 generation data to analyze your prediction of the parental genotypes. PLEASE HELPPP identify the solution to the system of equations