The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
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There were 17 students in the class at the start of the school year. During the year, three pairs of new students transferred into the class. How many students are in the class at the end of the school year?
Answer:
23
Step-by-step explanation:
a pair is 2 so 2 pairs time 3 2x3=6 so 17+6=23
Solve the equation for x, explain how you found the solution. pls help me
2x + ½= 8
How do you write an expression in factored form?
To write an expression in factored form, its products needs to be deduced.
What is an expression?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Factoring is the process of representing a given number or algebraic statement as the product of its components.
For example - Consider the binomial 3x^2-9x.
On simplifying it -
3x^2-9x = 3x(x-3)
So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.
Another example is - Consider y^2-100.
The terms used here can all be expressed as squares.
y^2 − 100 = y^2 − 10^2
(y + 10)(y − 10)
The factors in this case are (y + 10) and (y - 10).
Therefore, the products are the factors of an expression.
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No links plz! Will mark brainliest if correct!
Answer:
(m-4) / (5m)
Step-by-step explanation:
((m²-16) / (5m)) / (m+4) =
(m²-16) / (5m(m+4)) =
m²-16 / (5m²+20m) =
(m-4) / (5m)
image below someone help me i will give brainliest
(a-b)(a+2)-(a+b)(a-2)
Find the exact values of sin (-pi/12)
I showed the solution and the answer on a piece of paper in the photo
Answer:
[tex] - 0.25881904[/tex]
Step-by-step explanation:
Use the identity
[tex] \sin( - x) = - \sin(x) [/tex]
so
[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]
Use angle subtraction trig formula
[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]
In order to get pi/12, we can subtract
pi/4 and pi/6.
[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]
Simplify.
[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]
[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]
[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]
which is about
[tex]0.25881904[/tex]
Remeber our sin is negative so our answer is
[tex] - 0.25881904[/tex]
combine like terms:
Answer:
20x²
-5xy
14y²
Step-by-step explanation:
17x² + 3x² = 20x²
-3xy - 2xy = -5xy
14y²
Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick
So, Todd picked 1 apple.
We can use the information given to set up the following equations:
Let x be the number of apples Jack picked, and y be the number of apples Marta picked.
We know that x + y = 16 (Jack and Marta pick a total of 16 apples)
Let y be the number of apples Marta picked, and z be the number of apples Rand picked.
We know that y + z = 15 (Marta and Rand pick a total of 15 apples)
Let z be the number of apples Rand picked, and w be the number of apples Todd picked.
We know that z + w = 13 (Rand and Todd pick a total of 13 apples)
We know that the total number of apples picked is 45, therefore x + y + z + w = 45
We can use the equation x + y = 16 to express x in terms of y:
x = 16 - y
We can substitute this into the other equations
(16 - y) + y = 16
y + z = 15
z + w = 13
We can sum all the equations:
(16 - y) + y + y + z + z + w = 45
16 + 2y + 2z + w = 45
From the equation y + z = 15, we can substitute y = 15 - z
16 + 2(15 - z) + 2z + w = 45
16 + 30 - 2z + 2z + w = 45
46 + w = 45
w = 1
Therefore Todd picked 1 apple.
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Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?
Santiago can make 7 dumplings
To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).
To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:
5 11/16 = (5 * 16) + 11/16 = 80 + 11/16
Now we can divide:
(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13
So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.
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3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4
Answer:
Please dont delete
Explanation:
Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!
Find the measure of the exterior 21.
60°
7
25
Answer:
A 85 hope it helps you
thank you
Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x
Answer:
y=7/2 and x=6
Step-by-step explanation:
2x−6y=−2y−2 can be turned into x=2y−1.
Now you can substitute the equations.
−6x−4y=−2x−38
−6(2y−1)−4y=−2(2y−1)−38
Then you can simplify.
−12y+6=−36
−12y=−42
y=7/2
Then you can substitute y to find x.
x=2y−1
x=2(7/2)-1
x=6
And then our answers are y=7/2 and x=6.
Hope this helped! :)
can someone check my answer & explain?
Answer:
The answer should be 3 cubic cm
Step-by-step explanation:
First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3
To find volume, you plug the area in the volume formula
v=1/3 ah
v=1/3 (3)(3)
1/3(9) would be 3 cubic cm
9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?
Answer: N= x24 over 3
Step-by-step explanation:
Which of these expressions is equivalent to log (15/7)
Answer:
log(15)-log(7)
Step-by-step explanation:
just trust me cuh
Which triangle is triangle MNO similar to and why?
Answer:
triangle GHK
Step-by-step explanation:
angles add up to 180
angle N + angle M + angle O = 180
79 + 22 + angle N = 180
180 - 79 -22 = angle N = 79
triangle GHK has 2 of the same angles (79 and 79), so that is our answer
34. The length of one side of the
square is 5 cm and the height of the
triangle is 4 cm. What is the TOTAL
area of the figure, in cm2?
Answer:
9 is the answer in 50% sure
What is the sum of interior angles of triangle?
a) 360°
b) 100°
c) 180°
d) 200°
Answer:
c) 180
Step-by-step explanation:
each angle of the triangle is 90
Answer:
the answer is c. 180° :))
Select the correct answer.
Which piece of information is listed in the income section of a tax return?
A dependent care expenses
B.
dividends
OC. retirement plan contributions
OD
student loan interest
9514 1404 393
Answer:
B. dividends
Step-by-step explanation:
You're looking for an income item.
Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."
pls help with math!!!!
Answer:
Cubic
Step-by-step explanation:
It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!
Mr.Rotich decided to honour top 3 students in Mathematics by sharing sh 12000 in the ratio 6:5:x for the first,second and third student respectively.if student number 2 got sh 4000,find the value of x
Answer:
4
Step-by-step explanation:
Given data
Number of student= 3
Total amount= 12000
Ratio= 6:5:x
Combined ratio= 6+5+x= 11+x
Applying the part to all method
if student number 2 got sh 4000
then
5/11+x= 4000/12000
5/11+x= 1/3
cross multiply
11+x= 15
x= 15-11
x= 4
Hence the value of x is 4
Find the difference of (2x2 – 5x + 7) - (7x2 + 3)
Answer:
[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]
[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]
What is the total area, in square inches, of the shaded sections of the trapezoid
below?
5.4 in
7.9 in
4.8 in
5 in
Convert 12/25 and 15 /35
Answer:
12/25 = .48
15/35 = .42857143...
Help please!!! Fine the inverse for each relation
Answer:
1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)
Step-by-step explanation:
To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).
There are 181 students going on a college field trip.
11 students ride in cars
The rest of the students fill 4 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus.
Enter your response in the first response box.
Enter the number of students that are on each bus.
Enter your response in the second response
box.
It’s due today please help!!
Answer:
42.5 (students that are on each bus)
Step-by-step explanation:
181 (students)-11 (students in cars) =170 students left
170(students left)÷4(buses)= 42.5(students that are on each bus)
Hope this help you
whats the answer? please help!
Answer:
Step-by-step explanation:
we konw the speed of burn is 1.25 inchs per hour. so, the left candle is
15-1.25t. the answer is L=15-1.25t
Can someone help me out my grade are bad
Answer:
a. 0.4 and 0.5
b. 0.46
Step-by-step explanation:
i don't know if this right, so lmk
What is the perimeter?
Help plz...
And No links!! I repeat No links!!
Step-by-step explanation:
soln:
In right-angled triangle,
hypotenuse (h)=20mm
base(b)=12mm
perpendicular (p)=?
Now,using Pythagoras theorem,
h^2=p^2+b^2
or, 20^2=p^2+12^2
or,400-144=p^2
or,p=√256
thus,p=16mm
Now,
perimeter= sum of all three sides
i.e. p=20+12+16=48 Ans