If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.

Answers

Answer 1

The value of x is 3.

Given that,

If  [tex]5 + 20 \times 2^{2-3x}[/tex],

And Baseline = [tex]10 \times 2^{-2x}+5[/tex]

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]

Step1; Subtract 5 from both sides,

                   [tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]

Step2; Divided by 10 on both sides,

                    [tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]

Step3; Rewrite the term into their power form and add the powers,

                   [tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]

Step4; The base is the same on both sides, we equate exponents,        

                    [tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]

Hence, The required value of x is 3.

For more details about the Exponent refer to the link given below.

https://brainly.com/question/25959524


Related Questions

Which expression is equivalent to 6x-9/3​

Answers

Answer:

option A is the answer 2x-3

Answer:

2x-3

Step-by-step explanation:

(6x-9)/3

This can be simplified to

6x/3  - 9/3

2x -3

round 0.006772 to 1 significant figure

Answers

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

How many Match sticks will be In Image 6?​

Answers

19

In the first image, we are given 4 match sticks.

In the second image, we are given 7 match sticks. The difference between the match sticks is 3.

In the third image, we are given 10 match sticks. The difference between the match sticks again is 3.

If in the third image we are given 10 match sticks, and for every new image, there is another 3 match stick added, then in the sixth image, there must be 19 match sticks. Image 4: 10 + 3 = 13. Image 5: 13 + 3 = 16. Image 6: 16 + 3 = 19.

Answer = 19. Hope this helps. :)

Answer:

19

Step-by-step explanation:

Once the prompt in image is read answer choices are:
A. -0.9
B. -0.4
C. 0.4
D. 0.9​

Answers

I don’t understand what exactly you want

Hi, I have a question it is kinda hard but I think i got it, if it's wrong plz tell mee

Solve for X

5-x+6=4

X=3

Answers

5-x + 6 = 4

Combine like terms:

11-x = 4

Subtract 11 from both sides

-x = -7

Divide both sides by -1

X = 7

Answer: x = 7

Question:-

Solve for X

5-x+6=4

Answer:-

x = 7

Explanation:-

=> 5-x + 6 = 4

=> (5+6)-x = 4

=> 11-x = 4

(subtract both the sides by 11)

=> -x = -7

(divide both the sides by -1)

=> x = 7

help please anybody hmm​

Answers

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

Help ME!

Question 1: Evaluate the expression:
2+5⋅8

Question 8: 10÷(3−1⋅2)

Option answers for Question 8: 4, 10, 10/4, and 2.5

Answers

Answer:

Q1: 42

Q8: 10

Step-by-step explanation:

PEMDAS

What is the factored form of n3+512 (pleas help fast)

A- (n-8)(n^2+8n+64)
B- (n+4)(n^2-4n+128)
C- (n-4)(n^2+4n+128)
D- (n+8)(n^2-8n+64)

Answers

Answer:

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³=(a+b)(a²-ab+b²) where

a=n and b=8

(n+8)(n²-8n+64)

Answer

(n+8)(-8n+64)

hi

have a good day

thank me later

Carryonlearing

Answer:

Step-by-step explanation:

The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.

cubrt(512) = 8

The first term is (n + 8)

The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64

All the other answers have the wrong first term

A: it should be n + 8 not n - 8

B and C are both wrong because the cube root of 512 is 8 not 4.

i wake up at 6:00 am gianna wakes up 35 minutes later john wakes up 7 minutes before gianna at what time does john wake up

Answers

Find the number of minutes Hohn wakes up after you:

35 minutes - 7 minutes = 28 minutes

6:00 am + 28 minutes = 6:28 am

John wakes up at 6:28am

Answer: 6:28am

Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.

A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the final day.Work out the overall percentage reduction on the price of the radio

Answers

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

Sale = x - 20% of x = x - 0.2x = 0.8x

Sale price = y = 0.8x

Reduction of sale prices = 25% = 0.25

Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

1/2 + (-7) – 2 1/2 - (-2)​

Answers

The answer is -7

Explanation:

Help Plssss it is due tommorrow!!!!! I think it is A i am not sure help

Answers

Answer: congruent bases

Step-by-step explanation:

what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.

congruent base :) hope this helped

Can someone help me with this please? ​

Answers

Die haben sich schon in der Schule gesehen und 5 bis drei z die Frau A bist du noch mal in der Nähe

solve for x: 2-3(2x-2)=17​

Answers

Answer:

x = - 1.5

Step-by-step explanation:

2 - 3(2x - 2) = 17 ← distribute parenthesis

2 - 6x + 6 = 17 , simplify

8 - 6x = 17 ( subtract 8 from both sides )

- 6x = 9 ( divide both sides by - 6 )

x = [tex]\frac{9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

Choose the graph that matches the following system of equations:

x + y = 4
2x + 3y = 18

Picture of coordinate plane with line y equals negative x plus 4 and line y = equals negative 2 thirds x plus 6. They intersect at negative 6, 10.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x plus 6. They intersect at 6, 2.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x minus 6. They intersect at negative 1.2, negative 5.2.
Picture of coordinate plane with line y equals x plus 4 and line y equals negative 2x plus 6. They intersect at 0.67, 4.67.

Answers

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

i keep this all day what is 6 + 6 × 6 + 6 ÷ 6=

Answers

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

6+6×6+6÷66+36+17+3643

Done!

What is the gradient of the graph shown?

Give your answer in its simplest form.

Answers

Answer:

2

Step-by-step explanation:

Choose 2 points on the graph: (0, -2) and (1, 0)

[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Gradient of graph

[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]

[tex] = \frac{0 + 2}{1} [/tex]

= 2

Answer:hope it helps!

Step-by-step explanation:

cannot be bothered

SOMEONE HELP!!!!!!!!!!!!!!!!!!!! I would give more points but there are people who just write random things for an answers that isnt correct just to get points.

Answers

Answer:

a)  320 is correct

b)  20 more 18 year old students

Step-by-step explanation:

a)  320 is correct

b)  20 more 18 year old students:  The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:

12 years: 40 students

18 years:  60 students

Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.

Solve
x ^ 4 -8x ^ 2 – 9 = 0

Answers

Answer: 0 is the answer

Step-by-step explanation: your welcome its 0

which function describes the arithmetic sequence shown -5,-7,-9,-11,-13

Answers

Answer:

[tex]n(x)=x-2[/tex]

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.

Need help on HS geometry

Answers

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

26=7(g−9)+1226, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12

Answers

26=7(g-9) + 1226

To find g, we expand the brackets first(multiplying every term in the bracket by the term outside it):

26=7g-63+1226

Add the terms on the right hand side:

26=7g+1163

Collect alike terms to left hand side:

26-1163=7g
-1137=7g

Divide equation by 7 to get g on its own:

g= -162.428 (3dp)

Hope this helps!


Using the GCF you found in Part b re write 35 +63 factor one factor is the GCF and the other is the sum of the two numbers that do not have a common factor show your work

Answers

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

HEPL!! due in 2 hours so please help or attempt! I came up with 5 different answers and don't know which one is the actual answer!!​

Answers

Answer:

Original Price = $23

Step-by-step explanation:

$5.75 is the price after a discount of 75%

Let the original price be x and x is 100% of the price

5.75 = 100%x - 75%x

5.75 = 25%x

The new price is 25% of the original because you are subtracting 75%

25% is also written as 0.25

5.75 = 0.25x

x = 5.75/0.25

x = 23

The original price is 23

-Chetan K

Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years​

Answers

Answer:

  Php 6500

Step-by-step explanation:

Assuming simple interest, the value after 2 years is ...

  A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years

  A = 5000(1 +0.15·2) = 5000(1.30) = 6500

The maturity value will be Php 6500.

Find the value of theta, to the nearest hundredth if cos they have is -0.7 and theta is in quadrant 2

Answers

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

please help! i need for this to be done.


Solve.

t+7.45=1334

Enter your answer as either a decimal or a mixed number in simplest form in the box.

t =

Answers

Answer:

t = 6.3

Step-by-step explanation:

t + 7.45 = 13 [tex]\frac{3}{4}[/tex] = 13.75 ( subtract 7.45 from both sides )

t = 6.3

3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.

Answers

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!

Answers

Answer: answer b

Step-by-step explanation:

Find the slope of the line (-3,-2),(1,-2)

Answers

Answer:

0

Step-by-step explanation:

The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph

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