Answer:
t+26=25
t= 26-25 = 1
Step-by-step explanation:
Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture
We'll use the following log rules
Log rule 1: log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)================================================
Part 1
Answer: 2a + 2c-------------
Work Shown:
Ln(100) = Ln(4*25)
Ln(100) = Ln(2*2*5*5)
Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1
Ln(100) = a+a+c+c
Ln(100) = 2a + 2c
================================================
Part 2
Answer: 2a + b - c-------------
Work Shown:
Ln(2.4) = Ln(24/10)
Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]
Ln(2.4) = Ln[ (2*2*3)/5 ]
Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2
Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1
Ln(2.4) = a+a+b-c
Ln(2.4) = 2a+b-c
================================================
Part 3
Answer: -3a + b - 3c-------------
Work Shown:
Ln(0.003) = Ln(3/1000)
Ln(0.003) = Ln[ 3/( 10^3) ]
Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2
Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3
Ln(0.003) = Ln(3) - 3*Ln(2*5)
Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1
Ln(0.003) = b - 3*( a + c )
Ln(0.003) = b - 3a - 3c
Ln(0.003) = -3a + b - 3c
================================================
Part 4
Answer: 3a + 3b + 2c-------------
Work Shown:
All logs shown for this part are in base 2
log(5400) = log(54*100)
log(5400) = log(6*9*4*25)
log(5400) = log(2*3*3*3*2*2*5*5)
log(5400) = log(2^3*3^3*5^2)
log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1
log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3
log(5400) = 3a + 3b + 2c
203.530 divided by 0.7=
Which one is from greatest to least?
A : -15, -8, 10, 12
B : 12, 10, -15, -8
C : 12, 10, -8, -15
D : -15, -8, 12, 10
HELPPP!! ASAP!!
Answer:
C is correct!
12,10,-8,-15
please help me it is kinda easy
Step-by-step explanation:
this is your answer........
The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K?
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] M(2, 1) = (x_1, y_1) [/tex]
[tex] P(12, 6) = (x_2, y_2) [/tex]
[tex] m = 3, n = 2 [/tex]
Plug in the necessary values to find the coordinates of K:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]
[tex] x = \frac{36 + 4}{5} [/tex]
[tex] x = \frac{40}{5} [/tex]
[tex] x = 8 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]
[tex] y = \frac{18 + 2}{5} [/tex]
[tex] y = \frac{20}{5} [/tex]
[tex] y = 4 [/tex]
The coordinates of K = (8, 4)
Find the sum of the first 80 terms of the sequence. Show all work for full credit. 1, -3, -7, -11, ...
Answer:
-12960
Step-by-step explanation:
The formula for the sum of terms =
Sn = n/2[2a + (n - 1) d]
n = number of terms = 80
The given sequence =
1, -3, -7, -11, ...
a = First term = 1
d = common difference
= Second term - First term
= -3 - 1
= -4
Therefore, the sum of the first 80 terms:
S80 = 80/2[2 × 1 + (80 - 1)]-4
= 40[2 + 79]-4
= 40 × 81 × -4
= -12960
The sum of the first 80 terms = -12960
help me please this is due today!!!!!
Donna arranges 32 tiles in equal rows, as shown below. Which expression
represents the number of tiles in each row?
32 x 4
32 + 4
32 : 4
32 - 4
(-5) ÷ (-7) = _____
-
35
-35
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
2. Tess picked 12 flowers on Monday morning In the afternoon she picked some more flowers. If Tess picked 27 flowers in all, how many did she pick in the afternoon?
What is the density of Basalt? Mass = 20g ; Volume = 6.47 cubic cm. Round
to TWO decimal places.
Answer:
3.09g/cm cubedStep-by-step explanation:
Density = mass/volume = 20/6.47
Round $537.307 to the nearest cent
Answer:
$531.31
round to the nearest cent is round to 2 decimal places
Answer:
537.31 hope this helps you out
How many at-bats did the player have?
Answer:
450
Step-by-step explanation:
17 full balls + (1/2+1/2)=1
18*25=450
Answer:
450 at - bats
Step-by-step explanation:
Home run = 50
Triples = 37.5
Doubles = 75
Singles = 125
walks = 62.5
Outs = 100
Total = 450
hopefully this helps you :)
Pls mark me brainlest ;)
write in algebraic expression 15 less than the product of 2 and r
Answer:
2r - 15
Step-by-step explanation:
product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha
The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is, "15 less than the product of 2 and r."
Let the expression is equated to x in order to represent,
x=15 less than the product of 2 and r
x=2r-15
Thus, the algebraic expression will be 2r-15.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Noah is shopping for new socks. He sees many different options. One bag has 12 socks for $9.99, another bag has 20
socks for $14.99, and a third bag with 10 socks for $19.99. Which is the best deal for socks?
Answer:
the bag with 20 socks for $14.99
Answer:
Second bag having 20 socks for $ 14.99 is the best deal.
Step-by-step explanation:
To find the best deal, you have to find the unit rate
First bag:
Unit rate = 9.99 ÷ 12 = $ 0.8325
Second bag:
unit rate = 14.99 ÷ 20 = $ 0.7495
Third bag:
Unit rate = 19.99 ÷ 10 = $ 1.999
Second bag having 20 socks for $ 14.99 is the best deal.
44. Find the total area of the shaded rectangles.
9
х
х
2

Answer:
(x² + 18) units²
Step-by-step explanation:
Area of a rectangle = l*w
There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.
Below are the dimensions and area if each of them:
Rectangle 1 (small shaded rectangle):
l = x
w = x
Area = x * x = x² units²
Rectangle 2 (bigger shaded rectangle):
l = 9
w = 2
Area = 9*2 = 18 units²
Total area of the shaded rectangles = x² + 18 = (x² + 18) units²
Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks
Answer: 112.5 hours
Step-by-step explanation:
| x | >= 4 draw the graph
Answer:
Solve for x
x ≤ −4 or x ≥ 4
6th grade math Please help
Need help with 2-5 plsssss
Answer:
5) m∠DEF = 18
Step-by-step explanation:
I cant answer the rest because they require a protractor
. Pay close attention to the order operations to find the value of: 26 + (10-2) = 4 + 3 - 6 Show each step:
Find the distance of segment AB
A(-7,6) B(4,-2)
Answer:
13.6
Step-by-step explanation:
(3 + 5i) + (11 -7i) Write answer in standard form a +bi
Answer:
Step-by-step explanation:
3 + 11 + 5i - 7i
14 - 2i
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5 = 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
could you help me answer this for a friend
Answer:
The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5
Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?
Answer:
1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.
Step-by-step explanation:
(03.01)
Factor completely 2x^5 + 10x^4- 22x^3
Answer:
Step-by-step explanation:
2x^3(x^2 + 5x - 11)
(2/3)^3(1/5•2/3)^-3(1/5)^4
PLS HELP
Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through (-8,0) and (0,8) Type the point-slope form of the equation of the line.
Answer:
Step-by-step explanation:
(8 - 0)/(0 + 8)= 8/8= 1
y - 0 = x + 8
y = x + 8