Solve the inequality for x

8^x>24

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.

Solution

log(8)^x > log 24        Logs lets you bring down x and multiply it by log24

x log 8 > log 24         Be careful what you do next. Don't use log 3

x > log(24)/log(8)

x > 1.3802/0.9031

x>1.5284

As wrong as this may look, it is correct.

Check it

8^1.5284 = 24.00395

The difference is that 1.5284 has been rounded just a slight bit.


Related Questions

Find the value of the ratio.

Can someone help please???

Answers

Answer: Tan = 18/24

Explanation: Tan = Opposite/Adjacent
Huge Weber rug ru so thrsbr she h

what is the anwser for 7x−x

Answers

Answer:

6x

Step-by-step explanation:

7x - x

6x

A swim team ordered 36 jackets that each cost the same amount.
The total cost of the order was $1,116. Let c = the cost of each jacket.
How much did each jacket cost? Choose ALL of the division equations and
multiplication equations that represent this problem.

1,116c = 36
1,116, c, = 36

c = 1,116 • 36
c, = 1,116 • 36

36c = 1,116
36, c, = 1,116

1,116 ÷ 36 = c

Answers

Answer:

the cost of each jacket is 31$

Find the length of each arc. Round your answer to the nearest tenth

Answers

I think the answer is B

Find the intercepts of the linear function: -3 = 3y – 3.2

Answers

Answer:

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

Step-by-step explanation:

To find the y-intercept, set x = 0 (which is the y-axis) and find y:

-3 = 3y - 3.2

Add 3.2 to both sides, to isolate 3y:

0.2 = 3y

Dividing both sides by 3 yields   y = 0.06667

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

Help I’ll mark Brainly est

Answers

Answer:

c

Step-by-step explanation:

it's c I think hmm maybe

PLEASE HELP ME

A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5

Answers

I think that it would be 3/2 because you are simplifying the fractions 24/16.

A cylinder has a radius of 10 m and a height of 8 m.
What is the exact volume of the cylinder?

A. 187 m
B. 807 m
C. 160 m
D. 800 m

Answers

Answer:

D. 800 m

Step-by-step explanation:

Volume of a cylinder is πr²h

Here, r=10 h=8

so the volume is

=π x 10² x8

=π x 100 x 8

=800m

The answer is 800m

Answer:

[tex]D[/tex]

Step-by-step explanation:

[tex]Volume[/tex]  [tex]of[/tex] [tex]cylinder[/tex] ≈ [tex]\pi[/tex] [tex]radius^{2}[/tex] × [tex]height[/tex]

[tex]Volume[/tex]  ≈ [tex]\pi[/tex] × [tex]10^{2}[/tex] × 8 [tex]800\pi[/tex]

[tex]so[/tex] [tex]it[/tex] [tex]is[/tex] [tex]D[/tex]


In the diagram, mZXYZ = 115° and mZWXY = 45°.

Answers

Step-by-step explanation:

mXYZ+mXYW=180°(being straight angle)

mXYW =180-115

mXYW=65

now,

mXWY+mWXY+mXYW=180°(sum of angle of triangle)

mXWY=180-110

mXWY=70°

hope it helps.

The measure of the angle ∠XWY of the triangle is ∠XWY = 70°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

And , the measure of ∠XYZ = 115°

Now , the measure of ∠WXY = 45°

So , the measure of ∠XYW = 180° - 115° ( angles on a straight line = 180° )

And , the measure of ∠XYW = 65°

Now , the measure of ∠XWY = 180° - ( 45° + 65° ) ( angles in a triangle = 180° )

On simplifying , we get

The measure of angle ∠XWY = 70°

Hence , the angles of the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

How many cubic units are in this box?
A. 6
B. 9
C. 11
D. 18
E.
none of these

Answers

Answer:

Answer:

there are 18 cubes in that box.

DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9

Answers

Answer: The answer is b !

Hope the image helps

Find the slope (m) and y-intercept (b) for
y = 4x - 8.

Answers

Answer:

the slope, m, is 4 and that the y-intercept, b, is -8

Step-by-step explanation:

Compare the given equation to the slope-intercept form y = mx + b.  Here we see that the slope, m, is 4 and that the y-intercept, b, is -8.

OW has a radius of 10 mm
Right triangle XYZ is inscribed in OW
XZ is a diameter of OW
YZ = 16 mm

Answers

Answer:  triangle inscribed in a semicircle is always a right triangle, triangle ABC is a right ... With that information, we can conclude that triangle ABC is a 6-8-10 right ... Since the diameter is 10, the radius is 5. ... I am now bumping it up - doing my job.

Step-by-step explanation:

10. Find the surface area of a rectangular prism that has a length of 8 inches, a width of 3 inches, and a height of 6 inches.​

Answers

Answer:

144 inches^3

Step-by-step explanation:

The area of a 3D model is length x width x height (lxwxh).

length x width x height

(8) x (3) x (6)

(24) x (6)

144

144 inches cubed

I have a picture with the question plz help I've been stuck on this

Answers

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

Which is the greatest common factor of
84 and 60?
A 4
B 6
© 12
D
24

Answers

Answer:

12

Step-by-step explanation:

gffdsfsdsfghjkjhgfdsasdfgbhnj utefjfifkcryekxe

Answers

Answer:

HUh? LOL

Step-by-step explanation:

Answer:

rnfjewjsknfkrngejabjfkba re

Step-by-step explanation:

what is 18/5 written as a mixed number please helpppp I'll mark you brainliest ​

Answers

3 and 3/5
I believe thats a mixed number .. sorry its been so long

Answer:

3,3/5

Step-by-step explanation:

Think 18 divided by 5 but don't get a decimal you get 3 remainder 3. Since you divided it by 5 it will be 3, 3/5

is 2/10 equivalent to 20/100

Answers

Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation:

What is the simplest form of the fraction below?
24/36

Answers

Answer:

2/3

Step-by-step explanation:

file:///C:/Users/USER/Downloads/Documento%20sin%20t%C3%ADtulo%20(5).pdf

Answers

Answer:

Hm

Step-by-step explanation:

Interesting get i guess

Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?

Answers

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

Please hurry and no links, thank you!

Functions f(x) and g(x) are shown:

f(x) = x2
g(x) = x2 − 8x + 16

In which direction and by how many units should f(x) be shifted to match g(x)?

Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units

Answers

it needs to be shifted to the positive side of the graph by 4 units so right by 4 units is the correct answer

The answer is A. Left by four units. I took the test so it is correct, here is photographic proof:

Find the value of z in rhombus ABCD.

Answers

22.66 Because 56+56 = 112
180 is what all the angles in a triangle must lead up to so it would be 180-112 equals 68 divided by three Is z

I need help ASAP!!

The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?

Answers

Answer:

i think its 6

Step-by-step explanation:

i dont know for sure

Liz can paint a house in 13 hours. Carlos can paint the same house in 11 hours. How long would it take to work together?

5 hours and 40 min
5 hours and 13 min
5 hours and 22 min
5 hours and 58 min

Answers

Answer:

5.9 hours

Step-by-step explanation:

1/13+1/11=1/x

looking for x

x= 5.9

are you clear?

Which expression is a factor of 9r^2 - 4r + 1?
F 3r-1
G r- 1
H- 9r- 1
J- There are no real factors.

Answers

9514 1404 393

Answer:

  J- There are no real factors.

Step-by-step explanation:

For quadratic ax^2 +bx +c, the discriminant is ...

  d = b^2 -4ac

  d = (-4)^2 -4(9)(1) = 16 -36 = -20

When the discriminant is negative, there are no real factors.

Answer: there are no real factors

Step-by-step explanation:

I have alot of questions and I need help with a practice quiz ​

Answers

ok imma help u just it should not be chem

okay! ill help, what subject ??

Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.

Answers

Answer:

the answer would be 3 1/2

Step-by-step explanation:

if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2.  And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.  

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

Hello, the answer for your question is c (the expression has a variable in the denominator of a fraction)

Step-by-step explanation:

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