Answer:
[tex]log_e^{67.21}= a[/tex]
Step-by-step explanation:
The equation is ,
[tex]\implies 67.21 = e^a [/tex]
Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.Say if we have a expoteintial equation ,
[tex]\implies a^m = n [/tex]
In logarithmic form it is ,
[tex]\implies log_a^n = m [/tex]
Similarly our required answer will be ,
[tex]\implies\boxed{ log_e^{67.21}= a }[/tex]
Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).
A: 0
B: 13
C: 8
D:16
Answer:
B
Step-by-step explanation:
Use the distance formula in 3 dimensions
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]
with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)
d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13 → B
If you have 2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup and 1 can of beef soup what is the probability that he will choose a ca of tomato and a can of cheese soup
Answer:
1/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
probability of choosing a can of tomato and a can of cheese soup = probability of choosing a can of tomato x probability of choosing a can of cheese soup
total number of cans = 2 + 3 +2 + 2 + 1 = 10
probability of choosing a can of tomato = number of can of tomato / total number of cans
= 2/10 = 1/5
probability of choosing a can of cheese soup = number of can of cheese soup / total number of cans
= 2/10 = 1/5
1/5 x 1/5 = 1/25
There are 45 students in a class. If 60% of them are girls, find the number of girls and boys
please help me i am requesting I will mark u as brain list
Step-by-step explanation:
here's your solution
==> Total number of students in class = 45
==> percentage of girls in class = 60%
==> number of girls in class = (60/100)*45
==> number of girls = 27
==> number of boys = 45 - 27
==> number of boys = 18
hope it helps
The area of a rectangle if the length is 5 more than 4 times the width, what's the algebraic expression for this question
The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The length is 5 units more than 4 times the width
Suppose,
length = l
width = b
So, according to given condition
l = 4b + 5
Now, the area for rectangle is
A = length × width
A = l × b
A = (4b + 5) × b
Hence, the algebraic expression is (4b + 5) × b
To learn more about Area check:
https://brainly.com/question/16151549
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An event planner can set up 6 tables in 30 minutes. How many tables can the event planner set up in 4.5 hours?
First convert 4.5 hours to minutes
4.5 hours = 270 minutes
6:30 = ?:270
Divide 270 and 30
270/30 = 9
Then multiply 6 and 9
9*6 = 54
The event planner can set up 54 tables in 4.5 hours(270 minutes)
54 tables
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
HELPP plz I need the answer with step by step don't send a file plz
Answer:
13
Step-by-step explanation:
5^2 + 12^2 = Y
Sqrt Y = X
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answer:
A. 6(4a²-2)
Step-by-step explanation:
Got it correct… You’re welcome.
a recipe for sparkling water juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice
a. how much grape juice would you need to mix with 15/4 quarts of sparkling water
b. how much of each ingredients would you need to make 100 quarts of punch
Answer:
You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.
Answer:
x = 20
Step-by-step explanation:
3/4x = 15
Abby's calculation:
3/4x = 15
Multiply both sides by 3/4
x = 1114
Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x
Correct calculation:
3/4x = 15
Divide both sides by 3/4
3/4x ÷ 3/4 = 15 ÷ 3/4
x = 15 × 4/3
x = 60/3
x = 20
Check:
3/4x = 15
3/4*20
= (3*20) / 4
= 60/4
= 15
3/4*20 = 15
helppppppppppppppppppppppppppp
Answer: A
Step-by-step explanation:
What is the value of 3/5 divide 2/5
A. 6/25
B. 2/3
C. 6/5
D. 3/2
E.25/6
-3.5 x 0.2 =??? ;w;
A. -0.7
B. 0.7
C. -3.3
D. -0.7
Answer:
A and D
Step-by-step explanation:
It can't be B because of the negative...
It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative
A and D are the same?
-3.3 * 0.2 = -0.7
Write the equation of a line that passes through the point (0,5) and has a slope of 4/5
Answer:
[tex]m = \frac{4}{5} \\ from \: \: y = mx + c \\ at \: (0,5) \: \: \\ 5 = 0 \times \frac{4}{5} + c \\ c = 5 \\ equation \: is \: \: y = \frac{4}{5} x + 5[/tex]
Sarah had 25 candies. Sarah gave 2/5 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?
Answer:
5 candies left for herself
Step-by-step explanation:
Oceanside Bike Rental Shop charges 13 dollars plus 7 dollars an hour for renting a bike. Sandy paid 41 dollars to rent a bike. How many hours did she pay to rent the bike?
Sandy rented the bike for _____
hours.
you dont have to show work just write the answers plz help
Answer(s):
1. 31.42
2. 50.27
3. 94.25
4. 62.83
5. 43.98
6. 12.57
7. 100.53
8. 25.13
9. 75.4
6th grade advanced / 7th grade
5 x (-2w - 4) = (__)
What is the remainder when x^3 - 1 is divided by (x + 2)?
Answer:
-9
Step-by-step explanation:
Use synthetic division here. The divisor will be -2, which comes from the divisor (x + 2):
-2 / 1 0 0 -1
-2 4 -8
-------------------------
1 -2 4 -9
The remainder is -9.
Answer:
Negative 9 or -9 is the answer.
What’s the ratio of the surface area?
20:4
4:1
16:1
64:1
Find the surface area of
the prism.
14 in.
7 in.
5 in.
The surface area is _in2
Solve the Inequality for x
x/2+3/2<5/2
Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
Which expression is a factor of 9,2- 4r + 1? F3r-1 Gr-1 H 9r - 1 I J There are no real factors.
Answer:
use photomath bestie
Membership in a digital library has a $5 startup fee and then costs $9.95 per month. Membership in a video streaming service costs $7.99 per monrh with no startup fee. Use vocabulary words to explain how this information could be used to write an expression for the total cost of both memberships after m months
Answer:
Wait ima ask my mom to help you with this.
Step-by-step explanation:
True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.
Answer:
false
Step-by-step explanation:
A secant of a curve is a line that intersects the curve at least twice.
How many four letter words can be made from the letters X, B, O, M, T?
Answer:
tombexplanation:
thats it
What is the solution to the equation 1.2m - 0.8 = -2.Om?
m = 0.25
m = 0.4
m = 1
m = 4
Fatima paid for 5 pallets of grass to be delivered.
Each pallet of grass cost $129.95.
Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
Answer:
729.5
Step-by-step explanation:
3 + 8 > 27
Helppp lolllhshsdhfbdb
Answer:
What do you need to answer?
Answer:
11 > 27 False its smaller..
Step-by-step explanation:
Help ASAP before 2:10
Answer:3 choice
Step-by-step explanation:
When you have this || you put the opposite mark
Answer:
D
Step-by-step explanation:
-6
-2
|-4|
|-5|
6
The || means "absolute value". Thats the distance from 0 on a number line.