Solve for x: log(2x) + log3 = 5

Answers

Answer 1

Answer:2/3

Step-by-step explanation:

Answer 2

Answer:

X=50000/3 for x>0

Step-by-step explanation:

First get rid of log (3), toss it over exuation sign.

Then calculate the formula for double angle (sin 2x = sin²X + sin(X) x cos (X) + cos²X)

After you do that you should be able to divide everything with cos²X and get polynomial exuation which is solved by substitution method (you'll get tan and then switch it for lets say letter: t


Related Questions

Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

Answers

Answer:

[tex](x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1[/tex]

Step-by-step explanation:

[tex](x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5[/tex]

[tex]Therefore,[/tex]

                [tex]x^2 + 4x + 5 = (x+2)^2 + 1[/tex]

HURRYYYYY HELLPP MEEE PLEASEEEEE

Answers

Answer:

8/17

Step-by-step explanation:

sin 28 degree = opposite / hypotenuse

= 8/17

Find an equation of a line that is parallel to y = 5x - 21 and passes through the point (3, 7)

Answers

Answer:

y=5x-8 is the parallel line that passes through the point (3,7)

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line to y=5x-21, which if done correctly you should end up with y=5x-8

hope this helps!

A line with a slope of 0 passes through the points (–4,q) and (6,–10). What is the value of q?

Answers

Answer:

q = - 10

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis

The y- coordinates of the points the line passes through are equal

Given the line passes through (- 4, q) and (6, - 10 ) with y- coordinate - 10

Then q = - 10

HELP ASAP

Write the equation in standard form for the circle x2 + 32 = -y² + 12x.

Answers

Step-by-step explanation:

Move

26

to the right side of the equation because it does not contain a variable.

3x2−12x−2y2+16y=26

Answer:

(x - 6)² + y² = 4

Step-by-step explanation:

x² + 32 = -y² + 12x

Rearrange

x² - 12x + y² = -32

Complete the square for x

(x - 6)² + y² = -32 + (-6)²

(x - 6)² + y² = -32 + 36

(x - 6)² + y² = 4

what is an expression showing the sum of 5 less than the number k

Answers

Answer:

 5<k  

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

So, lets go over each part of the sentence, and turn it into a expression.

So it first says sum. This means addition, so we can start our expression with:

+

Next is says of 5. So we know its the addition of 5:

+5

Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:

-5

Finally it says the number k. So we know that the subtracted value is k:

k-5

So this is your expression!

Hope this helps!

If n is an even number, find the next consecutive even number.

Answers

Answer:

n+2 is the next even number as n is an even number so adding 2 will make it an even number again.

Ivy bought 10 packs of cups for her holiday
party. A pack of MEDIUM cups costs $1.80
and a pack of LARGE cups costs $2.40. She
paid a total of $21.60. How many packs of
each size cup did she buy?

Answers

4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60


What is the coefficient of the expression:
3n+4

Answers

Answer:

The coefficient is 3, the number right before the variable.

Answer:

3

Step-by-step explanation:

While performing a piece of music, Tommy strikes the cymbals every 7 beats and the triangle is every 12 beats. If he just struck both at the same time, how many beats will pass before he again strikes them at the same time?

Answers

Answer:

84

Step-by-step explanation:

In interval questions we use LCM

LCM of 7, 12=84

Therefore, the number of beats will pass before he again strikes them at the same time is 84

what is x+43434343434= 34344

Answers

Answer:

x=−43434309090

Step-by-step explanation:

(e+8)°
(3e-4°
Need help asap thx

Answers

Answer:

e=44°

Step-by-step explanation:

3e-4+e+8 = 180 degree (being linear pair)

4e+4=180

4e=180-4

4e=176

e=176/4

e=44 degree

If people send links report them

Divide 63 into two parts such that one part is 2/7 of the other .​

Answers

Answer:

49 and 14

Step-by-step explanation:

Answer:

14 and 49

Step-by-step explanation:

14+49= 63

[tex] = \frac{14}{49} \\ = \frac{2}{7} [/tex]

Based on histogram above what is the average number of hours worked by 20 salesperson in company G

Answers

Answer:

[tex]Average = 38[/tex]

Step-by-step explanation:

Given

The attached histogram

Required

The average work hours by 20 salespeople

First, we get the total hours worked as follows:

[tex]Hours = 3 * 30 + 5 * 34 + 9 * 40 + 2 * 45 + 1 * 50[/tex]

[tex]Hours = 760[/tex]

Divide by number of salespeople

[tex]Average = Hours/n[/tex]

[tex]Average = 760/20[/tex]

[tex]Average = 38[/tex]

ded the colour of each car going past his house one morning.
e results are shown below.
blue red red silver silver silver silver silver blue silver blue blue black red
red silver silver red black red
complete the table for Jay's results.
Colour
Frequency
blue
red
silver
black
Tally
4 4
= b
till
= 8
2
nich colour of car did Jay record most often?

Answers

Answer:

The correct answer is -

1. An image with correct tally marks and frequency values is attached.

2. Silver

Step-by-step explanation:

The given data of different color cars that going past his house one morning is given in 20 times. The frequency of each car is -

Blue cars - 4 times out of 20

red - 6 times out of 20

silver - 8 times out of 20

black - 2 times out of 20

The complete table is attached as an image -

2. the maximum frequency of the car is the silver car so Jay must have recorded the silver car most often.

Bart is collecting data on sunflower growth. He records the height, in inches, of his sunflower each day. Which best describes the type of data Bart is collecting

Answers

Answer:

Numerical data

Step-by-step explanation:

Given

Height recorded on a bar chart

Required

The type of data

From the question, we understand that the height is being recorded.

Height of flowers are numbers (e.g. 6in, 5in. 3in etc.).

When data are presented in numbers (i.e. digits), such data are referred to as numerical data.

Taxi company A charges $4 plus $2 per mile. Taxi company B charges $5 plus $3 per mile. Which system best represents this problem?



y = 4 x + 0 . 5 , y = 5x + 0.25

y = 4 + 2x , y = 5+3x

y = 4 x + 1 5 , y = 15x + 2

y = - 0 . 5 x + 4 , y = -0.25x + 5

Answers

Answer:

The second option

Step-by-step explanation:

To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).

By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.

**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!

What is the axis of symmetry for the function f(x)=7−4x+x2?

x = –3
x = –2
x = 2
x = 3

Answers

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by  

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Answer:

c

Step-by-step explanation:

I am less than 20. I am 2 inches more than a foot. Who am I?​

Answers

ANSWER: 14
EXPLANATION:

Help please if you don’t mind!!
Thankyou so much

Answers

Answer:

Step-by-step explanation:

[tex]F = \frac{9}{5}C+32[/tex]

Subtract 32 from both sides

[tex]F-32= \frac{9}{5}C\\[/tex]

Multiply both side by 5/9

[tex]\frac{5}{9}(F-32)=( \frac{5}{9})* \frac{9}{5}C\\\\ \frac{5}{9}(F-32)=C\\[/tex]

F= 41

[tex]\frac{5(41-32)}{9}=C\\\\ \frac{5*9}{9}=C\\\\ \frac{45}{9}=C\\\\C = 5\\\\[/tex]

41° F = 5° C

If x = 2 and t = 4, what is the value of 2(x3 – 4)(t2 + 8)

Answers

Answer:

64

Step-by-step explanation:

Just add in the numbers and put the expression into a calculator.

Match each power of a power expression with its simplified expression

Answers

(4)-

= 4⁰×-⁹

= 4⁰

(-4)²

= -4⁹ײ

= -4¹⁸

=( -4)¹⁸

(4-³)-³

= 4-³ × -³

= 4⁹

(4)-³

= 4⁶ × -³

= 4-¹⁸

= 1/4¹⁸

The straight line 3x + 4y = 24 cuts the y - axis at the point A and cuts the x - axis at the point B. What is the distance AB?​

Answers

Step-by-step explanation:

the answer is in the above image

The distance between point A and point B is 10 units.

What is the distance between two points on a plane?

The distance between two points on a coordinate plane (x, y) and (x, y) is

= √[(x₂ - x₁)² + (y₂ - y₁)²] units

The given straight line is 3x + 4y = 24.

This straight line will cut the x-axis at a point where y = 0.

Therefore, 3x + 4(0) = 24

⇒ 3x = 24

⇒ x = 8

Therefore, the coordinates of the point A is (8, 0).

Similarly, this straight line will cut the y-axis at a point where x = 0.

Therefore, 3(0) + 4y = 24

⇒ 4y = 24

⇒ y = 6

Therefore, the coordinates of the point B is (0, 6).

Therefore, the distance between point A and point B is

= √[(0 - 8)² + (6 - 0)²] units

= √(64 + 36) units

= √100 units

= 10 units   (negative sign is avoided.)

Learn more about the distance between two points here: https://brainly.com/question/12538676

#SPJ3

I am confused with this

Answers

Answer:

C ) 7

Step-by-step explanation:

Constant is value in equation that DOES NOT change. Varibales such as x and y will change. Coefficent are things that are written in front of variable.

i’m not sure what the last one is .. can u help pls

Answers

Answer:

136

Step-by-step explanation:

180 - <BAC

HELP HURRY PLEASE! circumference of R

Answers

Answer:

To calculate the circumference, you need the radius of the circle: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the circle.

Step-by-step explanation:

I think the answer is 3.14 but I could be wrong

Can someone help me with this question pls :)

Answers

can you show the whole question if you can?

If I put $80 into an account offering 2%
interest per year, how much interest would
I earn in five years?

Answers

Answer:

$88

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify

P = 80

r = 2% = 0.02

t = 5

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]:                                 A = 80(1 + 0.02 · 5)(Parenthesis) Multiply:                                                                                      A = 80(1 + 0.1)(Parenthesis) Add:                                                                                            A = 80(1.1)Multiply:                                                                                                             A = 88

If valorie made five times more baskets than her brother Vance

But if she made 70 baskets how many baskets did Vance make

Answers

Answer:

I say its 14 because it says  times more" so u would divide 70 by 5 but im debating between 14 and 65

Step-by-step explanation:

(Please help this is due by Tuesday)

Answers

Answer:

A

Step-by-step explanation:

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