log²(x + 5) + log²(x - 5) = log²11​

Answers

Answer 1
Solution:

[tex] log_{2}(x + 5) + log_{2}(x - 5) = log_{2}(11) \\ = > log_{2}(x + 5) (x - 5) = log_{2}(11) \\ = > log_{2}( {x}^{2} - 25) = log_{2}(11) \\ cancel \: \: \: out \: \: \: log_{2} \: \: \: from \: \: \: both \: \: \: sides \\ {x}^{2} - 25 = 11 \\ = > {x}^{2} = 11 + 25 \\ = > {x}^{2} = 36 \\ = > x = \sqrt{36} \\ = > x = 6[/tex]

Answer:

x = 6

Hope it helps.

Do comment if you have any query.


Related Questions

3(3 - 4n) + 6n < -2n + 5

Answers

Answer:

1 < n

Step-by-step explanation:

3(3 - 4n) + 6n < -2n + 5

9 - 12n + 6n < -2n + 5

9 - 6n < -2n + 5

9 < 4n + 5

4 < 4n

1 < n

I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.

Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?

Answers

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2

WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5​

Answers

Answer:

(3/10)x or if you didn’t undertsand that

[tex]\frac{3}{10}x\\[/tex]

Step-by-step explanation:

So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x

Question 4
Which expression represents f-(x) if f(x) = 11 – 10x ?

Answers

Answer:

hhuhhuhhhuhh

Step-by-step explanation:

The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.

Answers

Answer:

[tex]F=6.83\times 10^{-10}\ N[/tex]

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]

So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

The order is 4, 3, 2, 1.

Step-by-step explanation:

I remember isosceles triangles with the two eyes rule - because eye & the “i” in isosceles sound the same, you have two eyes and two sides, lol. just a cute little memory trick. acute angles are smaller than 90 degrees, so that explains the next one. equilateral means the same sides, and equiangular means the same angles (60 degrees each in a triangle!) hope this is helpful & accurate!

Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.

Answers

Answer:

Hello your question has some missing information below is the missing information

Sample mean  and Sample standard deviation

Bass 70.99  and   2.52

Tenor 69.41   and  2.79

answer : We will reject H0

Step-by-step explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 ,   n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?

Answers:

A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down​

Answers

I’m pretty sure- B) counterclockwise rotation
-
-

Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

21/35 es equivalente a

Answers

Es equivalente a 3/5

Help me please. And don't put answers like dolfjaldjf or something like that. Like no wrong answers for people who just want points. Because I really need this.

Answers

⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D

There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''

Answers

Answer:

160 ounces

Step-by-step explanation:

Easy mental math.

16oz × 10 pounds = 160 oz

please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)

(c) Write down the reciprocal of 20

Answers

Answer:

1/20

Step-by-step explanation:

The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!

hello!

In order to find the reciprocal of a number, we should flop it over.

Kindly consider the formula for additional details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is:-

[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Find the area of the following figure: 2ft 6ft 6ft 12ft

Answers

Answer:

96 ft²

Step-by-step explanation:

Area of triangle + area of square

Area of triangle = (base × height)/2

= 120/2=60

Area of square = 6 × 6=36

60 + 36= 96

Please please help please

Answers

Answer:

I have to know what you need help with, maybe post a picture or type the question next time?

Homework 2: Special Right Triangles Questions 16-24


I’ll give brainliest!

Answers

16 through 24 homework to special right triangles

PLS ANSWER PLS DUE TODAY

Answers

Answer:

radius of semi circle is 16mm.

diameter of semi circle is 32mm.

perimeter of triangle=sum of all sides.

perimeter of triangle = 20mm+20mm+32mm

perimeter of triangle =72mm

perimeter of semi circle=pi×r

perimeter of semicircle = 3.14×16mm

perimeter of semicircle =50.24mm

perimeter of the figure= 72mm+50.24mm=122.24mm

How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95

Answers

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Which expression is equivalent to 2 (-3x + 5)?
OA. -6x + 5
B. -6x + 10
Ос. 6x — 10
OD. 6x - 5

Answers

Use the distributive property
(2*-3x )+ (5*2)
=-6x+10
Or choice B

Only two more questions

Answers

Answer:

60

Step-by-step explanation:

if it has a square in the center of the angle it means it is 90 degrees

so a straight line adds up to 180b

90 +30+x=180

x=60

help with math thanks so much!!!!

Answers

Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

Can anyone help? The question is at the bottom

Answers

Answer:

Step-by-step explanation:

Answer:

24 is awnser

Step-by-step explanation:

Pls mark me as brainliest

I can't figure this problem out- Please help me​

Answers

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

can you get this answer

Answers

Answer:

1/128

Step-by-step explanation:

use formula: an = a1 × r ^ n-1

a1 = 4

r = 0.5

n = 10

a10 = 1/128

If 20% of a number is 12, then what is 30% of the same number

Answers

Answer:

18

Step-by-step explanation:

0.2x = 12

Same as: 1/5x = 12

Multiply both sides by 5

x = 60

0.3 * 60 = 18

A painting class charges a $55 registration fee plus an additional $25 for each week that you attend. Write an equation that could be used to find the total cost y for someone to attend the class for any number of weeks x. Then find how much it would cost for 7 weeks.

Answers

Answer:

y=25x+55

7 weeks = 230

gyhbgt

I need help please (100 points)

Answers

Answer:

10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20

now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0

LOOK AT THE PHOTO PLEASE

Answers

Answer:

The answer to the question provided is 11.

Step-by-step explanation:

[tex] \: \: \: \: \: 5x + 9 = 6x - 2 \\ \frac{ - 5x \: = - 5x }{9 = 1x - 2} \\ \frac{ + 2 \: \: \: \: = + 2}{ \frac{11}{1} = \frac{1x}{1} } \\ 11 = x[/tex]

[I apologize if the answer to the question provided is inaccurate]

what is the area of a circle​

Answers

The area of a circle with a radius of r is [tex]pi r^2[/tex]

PLEASE ANSWER ASAP! NO SCAM LINKS! OR REPORTED.

Answers

Answer:

im pretty sure its A

Step-by-step explanation:

14. Enzo needs to buy some sand for his sandbox. He can either buy a
10-pound bag of sand for $18 or a 6-kilogram bag of sand for $20.
a. Which is a better value? Explain.
b. If Enzo needs 18 pounds of sand, what should he buy so that
he spends the least amount of money overall? Explain.

Answers

Answer:

A: 6 kilo bag B: He should buy two 10 pound bags.

Step-by-step explanation:

Brainliest?

The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.

What is the rate?

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.

The rate in the first case is written as,

⇒ 18/10

⇒ $1.8 per pound

The rate in the second case is written as,

⇒ 20/6

⇒ $3.33 per kilogram

⇒ $1.51 per pound

The 6-kilogram pack of sand for $20 is a better value.

Then the amount of money for 18 pounds of sand will be given as,

⇒ $1.51 x 18

⇒ $27.18

Thus, the amount of money for 18 pounds of sand will be $27.18.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

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