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

Mr.Thomson owns a rectangular property theater is 52 feet long and 35 feet wide. He adds a new triangular property directly behind his existing property. The base length of the triangular property is equal to the length of the rectangular property.

The area of the whole property is 2,600 square feet. Based on the diagram what is the maximum height , in feet , of the triangular property.

Answers

Answer:

C. 30.0ft

Step-by-step explanation:

Please please help!!! Giving brainiest

Answers

Answer:

8.8 ounces

Step-by-step explanation:

3.96 ÷ 0.45 = 8.8

she bought 8.8 ounces of ground coffee


the radius of a circle is 6.3 yards. the circle's area is about ___ square yards.

use 3.14 for pi and round your answer to the nearest hundredth.​

Answers

Answer:

37.699cm

Step-by-step explanation:

The circumference of a circle can be obtained by using the equation below:.

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:

Wanda rode her bike 5km the first day and she rode her bike 10,000m the second day. How many meters, in total, did Wanda ride in the two days?

Answers

Answer:

there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.

Step-by-step explanation:

Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen​?

Answers

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7 cards and 4 queen cards so,

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

A teenager has 8 tee shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he must wear a belt to keep those pants up and keep that shirt tucked in?​

Answers

Answer: 80 ways

Step-by-step explanation:

If 8 tee shirts can be worn in 8 ways  

similarly for 2 belts = 2 ways

five pair of jeans= 5 ways  

so total number of ways=5*2*8=80 ways

NEED HELP FAST! The problem should be attached!

Answers

Answer:

(5,5) I think I'm not sure

Step-by-step explanation:

Which expression is equivalent to 5+n?
n - 5. n/5. 5n. n + 5​

Answers

Answer:

n+5

Step-by-step explanation:

This is according to the commutative property of addition. 5+n is n+5 written backwards.

what does 2x+2y=7 equal to

Answers

Let's solve for x.
2
x
+
2
y
=
7
Step 1: Add -2y to both sides.
2
x
+
2
y
+

2
y
=
7
+

2
y
2
x
=

2
y
+
7
Step 2: Divide both sides by 2.
2
x
2
=

2
y
+
7
2
x
=

y
+
7
2



Let's solve for y.
2
x
+
2
y
=
7
Step 1: Add -2x to both sides.
2
x
+
2
y
+

2
x
=
7
+

2
x
2
y
=

2
x
+
7
Step 2: Divide both sides by 2.
2
y
2
=

2
x
+
7
2
y
=

x
+
7
2
Answer:
y
=

x
+
7
2

find the volume of the prism. write your answer as a decimal.​

Answers

Answer:

161.21

Step-by-step explanation:

Find the slope of the line that passes through the pair of points (-6,2),(5,-1)

Answers

Answer:

y = -3/11x + 4/11

Step-by-step explanation:

y2 - y1/ x2 - x1

-1 - 2/ 5 - (-6)

-3 / 11

y = -3/11x + b

-1 = -3/11(5) + b

-1 = -15/11 + b

4/11 = b

this is a tricky one
find the value of x in this equation??
4/6x−1=9−1/6x
(the numbers with the / is a fraction btw)

Answers

X = 12 , just solved it right now :)


HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

points are

(0,-1)
(3,-2)
(1,-4)

Help me pls
put them from least to greatest ​

Answers

Answer: -7/10, -0.35, 1/5, 0.95

Step-by-step explanation:

-7/10 =  -.7

1/5 = 0.2

Answer:

From least to greatest, the correct order is [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.

Step-by-step explanation:

Since all negative numbers are smaller than positive, you immediately know that [tex]-\frac{7}{10}[/tex] and -0.35 are smaller than [tex]\frac{1}{5}[/tex] and 0.95. The greater the absolute value of a negative number is, the smaller that number is. Because [tex]-\frac{7}{10}[/tex] is -0.7, which has a greater absolute value than -0.35, this means [tex]-\frac{7}{10}[/tex] is the smallest number, and -0.35 is the second smallest number. Since [tex]\frac{1}{5}[/tex] is 0.2 which is smaller than 0.95, the correct order from least to greatest would be [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.

Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total

Answers

Answer:

$50

Step-by-step explanation:

Given data

Let the total purchase be x

Hence 30% of x is $15

Let us find the value of x

30/100*x= 15

0.3*x=15

0.3x=15

x= 15/0.3

x= $50

Hence the purchase is $50

Answer:

$50 is the total

Step-by-step explanation:

30% over 100% =  15 over x

then you cross multiply and get:

30x = 1500

you then divide both sides by 30

30 and 30 cross out

1500 ÷ 30 = $50

Help if you can!! I really need some good grades or I will fail this and that wont help anything.

Answers

Answer:

26) A

29)D

4) C

Step-by-step explanation:

Hope this helps. Your gonna pass

Num cinema, há 12 fileiras com 16 poltronas e 15 fileiras com 18 poltronas. O número total de poltronas é

Answers

Responder:

462 assentos

Explicação passo a passo:

Dado que :

Número da linha = 12; Número de assentos por fila = 16

Número de linhas = 15; número de assentos por fila = 18

Número total de assentos para as 12 filas:

12 * 16 = 192 assentos

Número total de assentos para as 18 filas:

15 * 18 = 270 assentos

Número total de assentos:

(192 + 270) = 462 assentos

What are the approximate values of the missing side lengths in the triangle below?

120 m

404

BC 136m, AB 89m

BC 89m. AB 136m

BC 105m, AB 162m

BC 162m, AB 106m

Answers

Answer:

BC 136m, AB 89m

Step-by-step explanation:

Find the diagram attached

According to sin rule;

a/sinA = b/sinB = c/sinC

From the diagram;

b = 120m

<B = 60degrees

<C = 40degrees

From the sine formula

b/sinB = c/sinC

120/sin60 = c/sin40

csin60 = 120sin40

c = 120sin40/sin60

c = 120(0.6428)/0.8660

c = 77.1345/0.8660

c = 89.06

c = AB = 89m

Get BC;

According to the sine rule

a/sinA = b/sinB

a/sin(180-100) = 120/sin60

a/sin80 = 120/sin60

asin60 = 120sin80

a = 120sin80/sin60

a = 120(0.9848)/0.8660

a = 118.177/0.8550

a = 136.46

Hence a = BC = 136m

A number cube is rolled twice. What is the P (2 and then odd number)?

Answers

Answer:

P (2 and then odd number) = [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Probability refers to chances of occurrence of any event.

A number cube is rolled twice.

Possible outcomes are as follows:

[tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]

[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]

[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]

[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]

[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]

[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]

Total number of outcomes = 36

Favorable outcomes include outcomes with 2 and then odd number.

So,

Favorable outcomes are [tex](2,1),(2,3),(2,5)[/tex]

Number of favorable outcomes = 3

Probability is equal to number of favorable outcomes divided by total number of outcomes.

Therefore,

P (2 and then odd number) = Number of favorable outcomes ÷ Total number of outcomes

[tex]=\frac{3}{36}[/tex]

[tex]=\frac{1}{12}[/tex]

Find sin A.16/12, b.16/20, c.12/20, d. 12/16, I will give branliest!!!, pls help!

Answers

Answer:

B) 16/20

Step-by-step explanation:

sin∅=opposite/hypotenuse

sin∅=16/20

Therefore, your answer is B.

Answer:

(12/16)

Step-by-step explanation:

HELP! Please!! Juan borrowed 12,00 from his friend eduardo and made an agreement to play him back over 2 years at an annual simple interest of 4% what is the total amount he will pay his friend back over the 2 years

Answers

Answer:

$12,960.00

Step-by-step explanation:

Use the formula A = P (1+rt)

A = (12000)(1+(0.04x2))

A = $12,960.00

Answer:

if the initial amount is 1200 then the answer is 1296

if the initial amount is 12000 then the answer is 12960

the initial number was unclear with the placement of the comma

Step-by-step explanation:

OMG OMG THE MISS IS ASKING ME THIS AUESTION BEFORE MY OTHER CLASSMATE PLS HELP FAST IM CRYING AND SHAKING I CANT TYPE TOO PLEASEEE

Answers

They are the same

Step-by-step explanation:

Explanation: 3/4 and 6/8 are equal

Let f(x) = x^2
If g(x) is the graph of f(x) shifted up 4 units, write a formula for g(x)
G(x)=?

Answers

G(x)=x^2 +4 is the answer

A variety pack of snacks contains 4 pretzel bags, 3 popcorn bags and 3 cheddar cracker bags. What is the probability that someone selects a pretzel bag, keeps it, and then selects another pretzel bag. HELLP PLS

Answers

Answer:

2/15

Step-by-step explanation:

Given that :

pretzel = 4

Popcorn = 3

Cheddar cracker = 3

Total = 4 + 3 + 3 = 10

Probability = Required outcome / Total possible outcomes

Selecting with replacement :

First selection :

P(pretzel bag) = 4 / 10

Second selection :

P(pretzel bag) = 3 / 9

P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.


Find the circumference and the area of circle with diameter 6ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Circumference:

Area:

Answers

Answer:

Area: 28.26ft², Circumference: 18.84ft

Step-by-step explanation:

Area of a circle: πr²

Circumference of a circle: πd (or 2πr)

Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:

πr²

π(3)²

π(9)

9(3.14)

28.26ft²

Our circumference is:

πd

π(6)

6(3.14)

18.84 ft

Find the surface area of the regular hexagonal prism.

Answers

Answer:

I think the surface is

Step-by-step explanation:

3.5

7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?​

Answers

Answer:

since 7 feet is 2.1336

aproximatly would be 2.08 rounded 2 meters

Step-by-step explanation:

18.
Find the common difference of the arithmetic sequence.

–2, [tex]-1\frac{4}{5}[/tex], [tex]-1\frac{3}{5}[/tex], [tex]-1\frac{2}{5}[/tex], . . .

A. [tex]-\frac{1}{5}[/tex]

B. -5

C. 5

D. [tex]\frac{1}{5}[/tex]

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

Answer:

The common difference is  or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ =  

Third term     = a₃ =  

Fourth term = a₄ =  

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴  

The common difference is  or 0.2

Data collected in a mall recorded the shoe color worn by 30 customers. Based on this information, if there are 360 customers in the mall, how many customers would you expect to have a black shoe?

Answers

Answer:

200 people

Step-by-step explanation:

I did the math on my calculator

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