Condene the logarithms on the left side by applying the property, ln(a) - ln(b) = ln(a / b):
ln(x - 2) - ln(x - 3) = 1
→ ln((x - 2) / (x - 3)) = 1
Now take the exponential of both sides:
exp(ln((x - 2) / (x - 3))) = exp(1)
(x - 2) / (x - 3) = e
Solve for x :
x - 2 = e (x - 3)
x - 2 = e x - 3e
x - e x = 2 - 3e
(1 - e) x = 2 - 3e
x = (2 - 3e) / (1 - e) ≈ 3.582
if you stop at random in front of an animal exhibit,What is the probability that you will be looking at monkeys? I put the table chart below
Answer:
1/10
step-by-step explanation:
----------------------------------
| animals | percent of animals |
----------------------------------
| goats | 16% |
----------------------------------
| camels | 4% |
----------------------------------
| giraffes | 6% |
----------------------------------
| llamas | 6% |
----------------------------------
| deer | 1% |
----------------------------------
| monkeys | 10% |
----------------------------------
| birds | 27% |
----------------------------------
| reptiles | 14% |
----------------------------------
| bears | 16% |
----------------------------------
( sorry if the table above isnt 100% right or straight ^ )
first you add up all the percents of how much animals are in this exhibit
16 + 4 + 6 + 6 + 1 + 10 + 27 + 14 + 16
= 100 %
then since we are looking for the probability of stopping in front of the monkeys, we take that 100 we got earlier and get the 10% of monkeys from our table
10/100
but since there isnt a 10/100 on the answers we look for something that equals to 10/100 and 1/10 does since you can just times both the 1 and 10 to equal the 10 and 100 you were looking for
1/10
making 1/10 your answer!
hope this helps! and if you need anymore help on this math question just ask me :)
Kyree paid $10 for a pizza he now has $46.how much money did he have before buying the pizza ??
46 + 10 = 56
He had $56Answer:
56 Dollars
Step-by-step explanation:
iIf you add the two 10 plus 46 you will get 56 Subtract 10 you will get 46. It might not make sense a little but this is always how id my math.
Clare said that 4/3 divided by 5/2 is 10/3 She reasoned: 4/3 x 5 equals 20/3 and 20/3 divided by 2 is 10/3 Explain why Clare's answer and reasoning are incorrect. Find the correct quotient.
Answer: See explanation
Step-by-step explanation:
4/3 ÷ 5/2
To solve this further, the minus sign changes to multiplication and the inverse of 5/2 is written. This will be:
= 4/3 ÷ 5/2
= 4/3 × 2/5
= 8/15
Claire's reasoning is wrong as she didn't multiply by the inverse of the number.
Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his second year. How much money will Mr. James earn from
his salary for the first four years?
Answer:
He will earn $139,000 after 4 years
Step-by-step explanation:
32,500+34,000+35,500+37000= $139,000
what is the standard form of twenty-one and six hundred thirty-four thousandths
Answer:
21,634 is the answer im pretty sure
Step-by-step explanation:
i think
Sergio has ppp paintings in his art collection. He and other local painting collectors agreed to donate a total of 484848 paintings to the local museum. Each of the 121212 collectors will donate the same number of paintings.
Answer:
Total paintings Sergio have in his art collection after his donation = p - 4
Step-by-step explanation:
P.S - The exact question is -
Given -Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings.
To find - How many paintings will Sergio have in his art collection after his donation ?
Proof -
Given that,
Total collectors = 12
Total painting that has to denote = 48
⇒12 collectors donate paintings = 48
⇒1 collector donate painting = [tex]\frac{48}{12}[/tex] = 4 paintings
∴ we get
Each collector donate paintings = 4
⇒Sergio donate total paintings = 4
Now,
Total pictures Sergio have = p
After donating,
Total left paintings = p - 4
∴ we get
Total paintings Sergio have in his art collection after his donation = p - 4
the reflection of a point (7,1) across the line y=x is
How many square feet of outdoor carpet will we need for this hole?
Answer:
42 sq ft
Step-by-step explanation:
First, I will do the small triangle on the right.
2 x 3 = 6
6/2 = 3 sq ft
Next the large rectangle.
11 x 3 = 33 sq ft
Next the large triangle on the left.
3 x (11-7)
3 x 4 = 12
12/2 = 6 sq ft
Add them all together.
6 + 33 + 3 = 42
sorry if im wrong <3
Use the polygon below to find the value of x.
please help
Due really soon
Answer:
i believe that would be B
What is the radius and diameter of the following circle?
7 cm
Answer:
What is the radius and diameter of the following circle? 5.1 cm radius= diameter=
Answer:
diameter =7 cm
where as radius =diameter /2
=7/2
=3.5cm
Edward and Jacob are competing for the same job cutting firewood. While interviewing,
Edward reported that he can cut five cords of firewood in eight hours. (A cord is the
official measurement for firewood. It is actually a measurement for volume.) Jacob,
trying to sound more impressive, says he can cut 162 cords in 100 hours. Who would you
hire as the better firewood cutter? Why? Explain completely.
Answer:
I would hire Jacob.
Step-by-step explanation:
Jacob is trying to sound more impressive knowing that Edward has more cords per hour. The writers of the question wouldn't say "trying to SOUND more impressive" if Jacob actually WAS more impressive. But maybe that's what they want you to think. If you take the 5 cords of Edward and divide it by the eight hours that it takes him to do you will notice he has an average of 0.625 cords per hour. And if you take a look at Jacob's average you immediately notice that he has an average of ABOVE 1. Jacob has an average of 1.62 cords per hour. Therefor Jacob is more efficient in this category of work. That's why I would hire Jacob.
Triangle RST and its image, triangle R’S’T’, are graphed on the coordinate grid below.
Which rotation, using the origin as the center of rotation, transformed RST to R’S’T’?
A. a 90° clockwise rotation
B. a 90° counterclockwise rotation
C. a 45° clockwise rotation
D. a 45° counterclockwise rotation
Answer:
B. a 90º counterclockwise rotation
Step-by-step explanation:
You can tell that it moves 90º and it moves in a counterclockwise direction because from RST to R’S’T’ it moves left to right. That is counterclockwise when you look it up.
Hope this helps!!! :)))))
To find the sales tax on an item, divide the price of the item by 20.
a. Write an algebraic expression to find the sales tax on an item that costs d dollars.
b. Use your expression to find the sales tax on a television that costs $800.
Answer:
1) d/20,
2) 40
Step-by-step explanation:
the first question just wants you to divide d/20. If a television costs $800, divide it by 20, and get 40
What is the value of x in the diagram below?
Find the missing side length to the nearest tenth of a millimeter. Enter your answer in the box.
About ___ mm
Answer:
missing side = 4.7 mm
Step-by-step explanation:
using the Pythagorean theorem:
7² - 5.2² = x²
49 -27.04 = x²
x² = 21.96
x = 4.69
Emilie swam 5/6 of a lap in the morning and 5/12 of a lap in the afternoon. How much farther did Emilie swim in the morning? *
Please help! I really need it!
Answer:
C : 4√2
Step-by-step explanation:
An triangle has two sides of equal right angles
We call the perpendicular side a, the isosceles triangle FGD at G
According to the Pythagorean Theorem
FH = √FG² + GH² = √a²+ a² => a√2 = 8
⇒a = 4√2
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
3. 24
16
5. 32
Step-by-step explanation:
3 sticks of butter make 24 cookies
which means we multiplied 3 by 8
then we devide 16 cookies by 8 which is 2 (as you did)
therefore 5 multiplied by 8 equals 40
Simplify the expression
6 − 2 x + 5 + 4 x
Answer: 2x+11
Step-by-step explanation: hope this helps!
Answer:
2 x + 11
Step-by-step explanation:
6 − 2 x + 5 + 4 x
= 6 + − 2 x + 5 + 4 x
Combine Like Terms:
= 6 + − 2 x + 5 + 4 x
= ( − 2 x + 4 x ) + ( 6 + 5 )
= 2 x + 11
Dillon peeled 40 pounds of potatoes. How many ounces of potatoes did Dillon peel?
Answer:
640
Step-by-step explanation:
40 pounds = 640 ounces
The ounces of potatoes that Dillon peeled is 640 ounces.
What is Unit Conversion?Unit conversion is defined as expressing the same quantity by different measurement units.
For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.
Given that,
Amount of potatoes that Dillon peeled = 40 pounds
We have to convert the same amount of potatoes in to the measurement unit of ounces.
We have to convert the unit.
We have the measurement unit that,
1 pound = 16 ounces
40 pounds = 40 × 16 = 640 ounces
Hence 640 ounces of potatoes did Dillon peel.
Learn more about Unit Conversion here :
https://brainly.com/question/4736731
#SPJ3
Miranda conducted a survey on how many hours per day students spend surfing the internet versus how many pets they have
She surveyed ten of her classmates and recorded the data in the scatter plot below.
Answer:
Option C
Step-by-step explanation:
Data set collected by Miranda and her classmates is,
(0, 7.5), (0, 9), (1, 6), (1, 6.5), (2, 6), (3, 5.5), (4, 4), (4, 4.5), (5, 4), (8, 3)
By using a regression calculator.
Equation for the regression lien will be,
y = -0.6565x + 7.438
y = -0.7x + 7.4
Option C will be the answer.
A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer: 6.9 kg
Step-by-step explanation:
Given
The combined weight of apple and pears is 9.4 kg
If pears weigh 2.5 kg
The weight of apples is the subtraction of pears weight from the total
[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]
Thus, the farmer sells 6.9 kg of apples
Six friends each drank 2/3 cup of juice (If a bottle of juice contains 3 cups, how many bottles of juice were needed?)
Answer:
2
Step-by-step explanation:
3 cups = 1 bottle
only 6 ppl so 3 cups + 3 cups = 6
Answer:
1 1/3. If you need to round up for how much they had, 2.
Step-by-step explanation:
12/3=4 cups. thats 1 bottle plus 1 cup
hope it helped!
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−1,−2) and (5,2)
Answer:
7.2 units
Step-by-step explanation:
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (-1, -2) & (5, 2)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (2 - (-2))²]
Simplify the parentheses.
d = √[(5 + 1)² + (2 + 2)²]
d = √[(6)² + (4)²]
Simplify the exponents.
d = √[36 + 16]
Add.
d = √[52]
Evaluate the radical.
2√13 or 7.2111
Round the decimal.
7.2 units
Hope this helps!
What type of property is this?
8x(d+5)
Distributive
Commutative
Associative
Answer:
distributive
Step-by-step explanation:
this is distributive because the 8 is being multiplied by both d and 5 ; it is being distributed amongst them both
Amanda and Carly have the same percentage of green marbles in their bags of marbles. Amanda has 4 green marbles and 16 total marbles. Carly has 10 green marbles. How many of Carly's marbles are NOT green?
Answer:
30
Step-by-step explanation:
They both have the same percentage of green marbles, Amanda has 16 total marbles, 4 of them are green. So 25 percent of her marbles are green. If 25 percent of Amandas marbles are green, 25 % of Carlys marbles are green too. Carly has 10 green marbles, if 10 is 25 percent of the total amount then the total amount if 40, minus 10 from 40 because we only want the non green ones and the answer is 30. :)
Please Help These two!
Thank you
Answer:
7. there are 30 pounds per box
8. $1.89 per notebook
Step-by-step explanation:
8a-6=34 can some one help me with this problem it will be really helpful
Answer: The answer is 5
Step-by-step explanation:
8a-6=34
You move constant to the right and you change the sign. Like this: 8a=34+6
Then you calculate it which would be 8a=40
You divide both of the sides so it will give your answer a=5
Find the surface area