Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer 1

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5


Related Questions

I really help with this ill mark u brainliest pls

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

It’s algebra 6x -9=y show work

Answers

Answer:

6x - 9 = y

x - (-1.5)

x - (-1.5) = y

Step-by-step explanation:

Should i write a song and post it?

Answers

Answer:

yesssssssssssssss do itttttttt

Answer:

If you want, thats cool

Step-by-step explanation:

Im kinda curious about the song....

thats a nice day

Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?​

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

24m

Step-by-step explanation:

you can use khan academy to help you out on this kind of stuff

Can someone please help? I need to get this doe so I can do something important

Answers

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

Need help please will give brainliest

Answers

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Which expression shows another way to write 36+16?
419) + 4
4(9+4)
6(6+8)
(6+4)(6+4)

Answers

4(9+4) bc 36+16=52
9+4=13 , 13x4=52

PLS help me

this is for class, if you get it right i will give brainliest

Answers

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

7^2+11^2=c^2

49+121=c^2

170=c^2

then square it

c=13

7,11,13 is a pythagorean triple

Answer:

both answers you have put in are correct

Step-by-step explanation:

7^2=49

11^2=121

121+49=170

square root of 170 is the long side

not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)

is it ~13.0384

If the point is reflected across the yaxis what is the location of the new point?


Answers

Answer:

That would be B. (2,-5)

Step-by-step explanation:

If it's reflected across the Y axis then only the second number will change

But it depends on what the number is

What is the image point of (-7,7) after a translation right 1 unit and down 3 units?

Answers

Answer:

Step-by-step explanation:

We start at (-7, 7).  A translation of 1 unit to the right results in (-6, 7).  A translation down from there results in (-6, 4).  This is the desired image point.

Help me please........

Answers

Answer:

(7, -1)

Step-by-step explanation:

Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.

With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.

Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.

When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.

Answers

Answer:

//

Step-by-step explanation:

draw a number line with the solution to :1/4 - 1/2

Answers

1/4 - 1/2 = -1/4 but 1/2 - 1/4 = 1/4

Dont know how to do it ​

Answers

Answer:

multiply them.

Step-by-step explanation:

What’s the GCF of (45x power of 2) y, and (54xy power of 2)

Answers

Answer:

[tex]9xy[/tex]

Step-by-step explanation:

I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].

[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]

The GCF is [tex]3^2 \times x \times y = 9xy[/tex].

The answer is I’m adopted and I’m bad at math

I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation !

Answers

Answer:

The answer is indeed 1.

Step-by-step explanation:

You are going to plug in the y values, and then plug in the choices for x to see which makes the statement true.

[tex]x + y = 6 - x \\ x + 4 = 6 - x \\ \\ (4) + 4 = 6 - (4) \: is \: 8 = 2\: \: \: |no| \\ \\ (2) + 4 = 6 - (2) \: is \: 6 = 4 \: \: \: |no| \\ \\ (3) + 4 = 6 - (3) \: is \: 7 = 3 \: \: \: |no| \\ \\ (1) + 4 = 6 - (1) \: is \: 5 = 5 \: \: \: |yes| [/tex]

Lake Michigan is one of five great lakes in north america.In summertime, lake Michigan recedes about 1/4 foot per hour. Lake Michigan is about 279 ft. In depth.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"

Given

[tex]Rate = \frac{1}{4}ft/hr[/tex]

[tex]Depth = 279ft[/tex]

First, we calculate the depth receded.

If the rate is 1/4ft per hour

Then

The Depth receded in 2 hours is:

[tex]Receded = \frac{1}{4} * 2[/tex]

[tex]Receded = \frac{2}{4}[/tex]

[tex]Receded = 0.5ft[/tex]

The new depth is then calculated as:

[tex]New\ Depth = 279ft - 0.5ft[/tex]

[tex]New\ Depth = 278.5ft[/tex]

When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80

Answers

It would be D. 70.80

Which of the following represents the lowest speed in miles per hour?
6 miles in 1/8 hour
11 miles in 1/4 hour
16 miles in 3/8 hour
20 miles in 1/2 hour

Answers

Answer:

C . 16 miles in 3/6 hour. Because 3/6 is 1/2. So, the answer would basically be 16 miles in 1/2.

z=2 = 27

_____ __

4 12

Answers

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

answer this. please.

Answers

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

please help me solve 9x-27=

Answers

Answer:

x = 3

Step-by-step explanation:

9x - 27 =?

      +27   +27

9x = 27

divide both sides by 9

x = 3

Hope this Helps!!!

Answer. X=3 I’m sure

Help
Please due now!!!!

Answers

Answer:

3920

Step-by-step explanation:

(9+11)(14•14)

(20)(196)

20 x 196

3920

Answer:

3920

Step-by-step explanation:

According to the question ,

x = 14 ; y = 9 ; z = 2

So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]

[tex] = > (9 + 11)( {14}^{2} )[/tex]

[tex] = > 20 \times 196 = 3920[/tex]

write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3

Answers

Answer:

y - 4 = -3(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h):

y - 4 = -3(x + 1)

25t=12.5
find the value of t

Answers

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

which list has the angles of ABC in order from smallest to largest ?

Answers

Answer:

Answer choice A (<A,<B,<C)

Step-by-step explanation:

I have attached a rough drawing of this type of triangle (not to scale)

The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.

This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.

Hope this helps :-)

Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°

Answers

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?

Answers

Answer:

x + y = 64

x = 10 + y

Yo-yo = 27

Xylophone = 37

Step-by-step explanation:

Let :

Xylophone club = x

Yo - Yo club = y

Total members = 64

Xylophone club has 10 more members than yoyo

Hence,

x + y = 64 - - (1)

x = 10 + y - - (2)

Put x = 10 + y in (1)

10 + y + y = 64

10 + 2y = 64

2y = 64 - 10

2y = 54

y = 54 / 2

y = 27

From (1)

x + 27 = 64

x = 64 - 27

x = 37

9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.

Answers

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

It should be 107x+89 as 89 is the independent variable just as shown in the text and only 107 is the dependent variable which depends on the number of month so x represent the month should be nest to 107

~And ~ again...~
A circular garden has a radius of 8 feet. What is the circumference of the garden?

Answers

D. 16pi ft

8 x 2 = 16 x pi = 16pi
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