Answers
Answer:
-27
Step-by-step explanation:
It looks like you're trying to evaluate ...
[tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]
__
The relevant rules are ...
b^(log_b(x) = x
log(a)+log(b) = log(ab)
Related Questions
LeRoy cut a length of string into 30
pieces, all the same length. If each
piece of string was 13 inches long, how long was the string before he cut it?
Answers
Answer:
390 inches long
Step-by-step explanation:
The string = x
[tex]\frac{x}{30} = 13[/tex]
[tex]30 (\frac{x}{30} ) = 30(13)[/tex]
x = 390 inches
You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?
Answers
Answer:
$5089.38Step-by-step explanation:
Given cylinder with:
d = 24 ft, h = 6 ftWe need to fill it up to:
h = 6 ft * 3/4 = 4.5 ftThe volume is:
V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)You need to spend:
2035.75 * $2.50 = $5089.38 (rounded)Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please
Answers
Answer:
Sophia read 32 books and her brother read 8
Step-by-step explanation:
Represent Sophia as 4x and her brother as x
4x + x = 40
5x = 40
x = 8
Therefore, her brother read 8 books and Sophia read 32 books
Write 32 as a product of primes. Use index notation when giving your answer.
Answers
Answer:
[tex]2^{5}[/tex]
Step-by-step explanation:
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
Then
32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]
Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with the price on the store website by completing the following. The stores website is offering the tablet 80% discount off the regular price ignoring tax and shipping how much would he pay for the tablet on the stores website
Answers
Answer:
157.8
Step-by-step explanation:
so since its on a 80% discount we want to see how much 80% is on $790 which was its initial price. To find out the percentage of $790 we need to multiply $790 by 0.80 which will equal to 631.2.
the answer is 157.8
you have to subtract 790 with 631.2
There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?
Answers
Answer:
1/3 of the day
Step-by-step explanation:
8/24 simplifies to 1/3
9. On a standardized test where the results are distributed normally, Elliete scored a 246. If the mean score was
a 182 with a standard deviation of 36, then what is Elliete's percentile rank (percent less than or equal to 246)
rounded to the nearest whole percent? Explain how you arrived at your answer.
Answers
Elliete's percentile rank is 96% for a score less than or equal to 246
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 182, σ = 36
For x ≤ 246:
[tex]z=\frac{246-182}{36}=1.78[/tex]
From the normal distribution table:
P(x ≤ 246) = P(z < 1.78) = 0.9625 = 96%
Elliete's percentile rank is 96% for a score less than or equal to 246
Find out more on z score at: https://brainly.com/question/25638875
Find the specified nth term in the expansion of the binomial.
(8a + 3b)5, n = 5
Answers
Answer:
b= 1/3n - 8a/3
Step-by-step explanation:
hope that help you mark me brinilylist
Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))
Answers
(-1)2-7(-1)-9=-4
(-4)-2=-6
it’s -6
ANSWER THIS SECOND On a typical night at a restaurant, the patio lights use 210.28 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
210.28 ÷ h
B.
210.28 - h
C.
210.28 × h
D.
210.28 + h
Answers
Answer: choose the one that is addition... trust me
Step-by-step explanation:
Answer the following for 10 points
Answers
Answer:
Regional metamorphism
Step-by-step explanation:
(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)
It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.
It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.
It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.
It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.
7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.
Answers
Answer:
1/3 +1/5 per hour
Step-by-step explanation:
hope i helped sorry if i didn't
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
Answer:
C: H > 60
Step-by-step explanation:
H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.
I’m very confused! Please help me (I’ll mark brainliest if you explain!)
Answers
Answer:4 **rounds
Step-by-step explanation:
It’s dividing by 2 each time.
Answer:
4 more rounds
Step-by-step explanation:
you will see there is a pattern which is dividing by 2
16/2=8
8/2=4
4/2=2
2/2=1
but since thats not an option i think it would be 8 dont ask its would be eight if not 4
Jason and Krystal are selling pecan pies and strawberry cheesecakes for a school fundraiserJason sold 9 pecan pies and 8 strawberry cheesecakes for a total of $153. Krystal sold 2 pecan pies and 6 strawberry cheesecakes for a total of $72. If it is possible to find them, what is the cost of each pecan pie and strawberry cheesecake ? If not possible , explain why
Answers
From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.
Based on the information given, the equations to solve the question will be:
9p + 8s = 153 ..... i
2p + 6s = 72 ..... ii
Multiply equation i by 2
Multiply equation ii by 9.
18p + 16s = 306
18p + 54s = 648
Subtract the equations
38s = 342
s = 9
Since 2p + 6s = 72
2p + 6(9) = 72
2p + 54 = 72
2p = 72 - 54.
2p = 18
p = 18/2 = 9
They're both $9 each
Learn more about equations on:
https://brainly.com/question/25678139
How do i find the answer
Answers
Answer:
count them: 12
Step-by-step explanation:
All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.
The total number of edges that a cuboid has is 12.
HELP!!! PLEAAASSEEEE
Answers
Answer:
RT
Step-by-step explanation:
please mark brainliest
Please helppp me I need it now
Answers
Answer:
You can either choose B or D.
330 is what percent of 750?
Answers
Please help me I'm literally gonna cry
How many
How many 3/5 -pound bags of apples are in 3 pounds of apples?
___ bags ( btw the answer is not 0.2)
Answers
Answer:
5 bags, each containing 3/5 pounds of apples
Step-by-step explanation:
3 ÷ 3/5 = 3 x 5/3 = 5
How do the values compare? Order the values from least to greatest.
-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2
Answers
This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|
Im not exactly sure if it is all correct, but i hope this helps! :)
jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?
Answers
Answer:
768x4%= 30.72
His commission was $30.72
Step-by-step explanation:
HELPP PLEASEE! pleaseeeeee
Answers
Answer:
a = 14 km
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
112.7 = 1/2 ( a) 16.1
112.7 = 8.05a
Divide each side by 8.05
112.7/8.05 = a
14 =a
a = 14 km
graph y= -4/3 x+2 using the slope and y-intercept
Answers
Answer:
i hope this helps or some-what helps
Step-by-step explanation:
Someone please help me with this
Answers
Answer:
0.55=c
Step-by-step explanation:
0.55(2)=c
1.10=c
The total cost is $1.10
Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?
Answers
Answer:
36 seconds
Step-by-step explanation:
30 / (5 x 60) = 0.01
0.01 hours = 0.6 minutes
0.6 minutes = 36 seconds
Answer:
10 minutes
Step-by-step explanation:
First, we need to convert hours to minutes. 5 x 60 = 300.
300 minutes for 30 miles.
Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)
300 divided by 30 = 10
30 divided by 30 = 1
So, it would take Jack 10 minutes to ride 1 mile.
What is the best approximation for the circumference of a circle with a radius of 45 cm?
Use 3.14 to approximate pi.
70.65 cm
141.3 cm
282.6 cm
6358.5 cm
Answers
Answer:
282.6 cm
Hope it helps:)
A backpack weighed 28 pounds if you take out a textbook that weighs 6 pounds and3 ounces how much will the backpack weigh
Answers
Answer:
22 pounds and 13 ounces
Step-by-step explanation:
I hope this helps!
Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
Answers
1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.
2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.
3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.
4. -17-3/-11-(-1) is -20/-10. The slope is 2.
4/5=x/100 solve please
Answers
Answer:
x = 80
Step-by-step explanation:
4/5 = x/100
100 · 4/5 = 100 · x/100
100 · 4/5= x
80 = x
x = 80
Hence, The Answer is 80.