[tex] {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0[/tex]
Can someone solve this equation?​

Answers

Answer 1

Answer:   [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]

Step-by-step explanation:                                                                       [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]


Related Questions

help me please I'm bad at math ​

Answers

Answer:

123

Step-by-step explanation:

Large rectangle:

8 - 3 = 5

5 × 4 × 3 = 20 × 3 = 60

Smaller rectangle:

3 × 3 × 7 = 9 × 7 = 63

Both:

63 + 60 = 123

Hope this helped.

1. Simplifying Equation Below
please help!!

Answers

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

[tex]\\ \sf\longmapsto 0-\dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0-0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

[tex]\\ \sf\longmapsto 0[/tex]


I’ll give brainlist to whoever is right!!!

Answers

Answer:  Choice C

(-19/2, -33/2)

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

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]

Help with this question

Answers

Step-by-step explanation:

Hey there!

Given;

-6(2x-9) + (7-6x) = 0

Simplify it.

-12x + 54 + 7 - 6x = 0

-18x +61 = 0

Therefore, answer is option B.

Hope it helps!

The answer is -6x + 61 so therefore the answer is D

Write an equation of the line that is parallel to the given line and passes through the given point.

1. y=2x+1; (0,4)
2. y= -x-3; (0,7)
3. y=-8x +9; (0,-2)

Answers

The points it gives you are y intercepts, and because you’re trying to find lines parallel- the only thing that changes for the equation is the y intercept.

1) y=2x+4
2) y=-x+7
3)y=-8x-2

Solve for U 11+15u=-7+13u
Help fast please

Answers

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds? ​

Answers

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.

We are given;

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

Average weight of elephant; w_e = 1 × 10⁴ pounds

Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;

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

I need help right now this is urgent

Answers

The answer should be 188

An internet company reported that its earnings will be less than the 24 cents per share that was predicted

Answers

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

solve for x the triangles are the same

Answers

Answer: x=8

Step-by-step explanation:

So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.

8 is your answer.

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
V10
Answer: 2=
=
Submit Answer

Answers

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Find the HCF of: 5a²b² and 9x³y³​

Answers

Answer:

1

Step-by-step explanation:

To do this, we can first look at each factor of each number.

For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²

For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.

The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF

Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1

I need help with this

Answers

x=2*49=98
98 degrees

Is {3,…} a defined set

Answers

Answer:

No it is not a collection of well defined and distinct objects

Hope this helps <3

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

21. C, 24.B

Step-by-step explanation:

Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.

Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]

We can subtract 40 squared plus 24 squared from both sides to get

[tex]849=-2(40)(24)\cos(C)[/tex]

Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us

[tex]\frac{849}{-1920}=\cos(C)[/tex]

Plugging this equation into a calculator and solving for C, we get the answer as approximately

C = 116.24353.

This rounds to 116.2

What is the product of the fractions below?

Answers

The answer to this question is c because you add the numerator and you times the denominator!

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

Convert 5700 milligrams into pounds. Round your answer to the nearest hundred

Answers

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook?

Answers

Answer:

300

Step-by-step explanation:

Just because it makes sense.

Answer:

300

Step-by-step explanation:

Just because it makes sense. and you would get the answer that i did as well

(a+2b)^2
.............

Answers

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

The probability of winning a card game is an example of theoretical probability.
True or False

Answers

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

Find the surface area of the cylinder in terms of T. 9 cm 19 cm Not drawn to scale O 211.5 cm 2 0 382.57 cm 2. O 333 77 cm2 o 504 лcm​

Answers

Answer:

hey the answer is cylinder= 211.5л!

The function fx) = 5 reflected over the y-axis. Which equations represent the reflected function? Select two

Answers

Answer:

y=5

Step-by-step explanation:

f(x) =5 is a line with the equation y=5

when reflected over the y-axis is still y= 5, because we reflected on to itself.

2. The ? states that the product of the extremes is equal to the product of the
means.

Answers

Answer:

proportion

Step-by-step explanation:

In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.

hope it helps :)

mark brainliest!

Which monomials are perfect squares? Select three options.

a
25x12

b
16x9

c
6x2

d
36x16

e
9x8

Answers

Answer:

a, d and e.

Step-by-step explanation:

A perfect square is one where the coefficient is a perfect square and the exponent is even.

So they are 25x^12, 36x^16 and 9x^8.

ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Answers

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

find the missing side lengths​

Answers

Answer:

Step-by-step explanation:

Because it is a 45-45-90 triangle

b=5

a= 5[tex]\sqrt{2}[/tex]

Find the value of w in the equation 3w + 15 = 60? Show
your work
. Based on your value of w, what is the value of the expression
below?
8w2 + 8w + 9
PLZ HELPPPP you’ll get all of my points ❤️

Answers

W=15

8(15)2+8(15)+9=369

Answer:

Part 1: Find w

w=15

Step-by-step explanation:

Part 1: Find w

Step 1:

3w+15=60. If this is true, then first: Subtract 15 from both sides.

Result: 3w=45

Step 2:

3w=45. If this is true, now: Divide by 3 to both sides.

Result/Answer: w=15.

Answer:

Part 2: If w=15, then what is 8w2+8w+9?

8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.

-32=8n I need help please

Answers

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

A N S W E R :

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Henceforth, the required solution is -4

The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet

Answers

Answer:

6

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

A. Find x
B. Find the measure of angle b
C. Find the measure of angle c

Answers

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Other Questions
PLEASE HURRY Aline has a slope of -1/2 and a y-intercept of -2. What is the x-intercept of the line? what is the range of the funcion y=x^2 A transverse sine wave with an amplitude of 2.50 mm and a wavelength of 1.80 m travels, from left to right along a long, horizontal stretched string with a speed of 36.0 m s. I Take the origin at the left end of the undisturbed string. At time t = 0 the left end of the string has its maximum upward displacement, (a) What is the frequency of the wave? (b) What is the angular frequency of the wave? (c) What is the wave number of the wave? (d) What is the function y(x,t) that describes the wave? (e) What is y(t) for a particle at the left end of the string? (f) What is y(t) for a particle 1.35 m to the right of the origin? (g) What is the maximum magnitude of transverse velocity of any particle of the string? (h) Find the transverse displacement of a particle 1.35 m to the right of the origin at time t = 0.0625 s. (i) Find the transverse velocity of a particle 1.35 m to the right of the origin at time t = 0.0625 s. Find the Average Number of Fruits eaten By Tony on a week:Days of the week | Number of fruits________________________________________Sunday | 60Monday | 40Tuesday | 20Wednesday | 40Thursday | 80Friday | 30Saturday | 20 Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.1 m from the center. The carousel takes 5.8 s to make each complete revolution.Required:a. What is Mary's angular speed %u03C9M and tangential speed vM?b. What is Alex's angular speed %u03C9A and tangential speed vA? A data center needs to ensure that data is not lost at the system level in the event of a blackout. Servers must stay operable for at least an eight-hour window as part of the response and recovery controls implemented. Which redundancy effort should be put in place to ensure the data remains available? difference between solar system and constellition. In a single displacement reaction Zinc can displace ALL butIronNickelCalciumLead When determining the human resources needs for a well-known engineering firm, the HR director realized that the company lacked engineers under the age of 30. The company could not afford to get caught short in this competitive business climate. An important recruitment strategy for the HR director's department was to start attending college fairs as well as considering hiring interns. We define his recruitment efforts as developing relationships with ________ sources. Multiple Choice external internal median civilian Help and explain ( solve using the substitution method ) Find the product of the Mixed numbers.2 2/3 x 1 1/2 what statemets are correct? Check all that apply.1. write the mixed numbers as improper fractions2. multiply the numerators to get 24.3. multiply the denominators to get 6.4. write the improper fractions as a mixed number5. The product is 4.6. The product is 2 2/5 Autobiographies, memoirs, diaries, editorials, and reviews are all examples of writing by authors whose purpose is to: A. express personal thoughts B. entertain C. persuade D. explain something There are little birds that spend a great deal of time on the back of a rhinoceros and eat the blood-sucking ticks out of the rhino's ears. The rhino greatly benefits from the relationship, since it cannot remove the ticks itself. The tick-rhino relationship is an example of ________. What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm what is circle graph or pie chart? Given 0.60 mol CO2, 0.30 mol CO, and 0.10 mol H20, what is the partial pressure of the CO if the total pressure of the mixture was 0.80 atm? Rewrite this address correctly 1461 condor stmr greg joneslake tona oh98562 Please help! I forgot how to do this. Suppose that a circular island has an area of 14.4 square miles. Approximate the radius of the island. Round your answer to the nearest hundredth of a mile. Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected A2.18 miles B4.59 miles C4.56 miles D2.14 miles In each of the following sentences, identify the verb that are in parentheses as either transitive or intransitive. If it is transitive, identify its direct object.1. I (played) chess with George.2. She (walked) to school.3. Jess (bought) a new suit.4. Did you (see) the cat jump over the fence?5. I (wrote) the monthly report for my company.