Answer:
It is B
Step-by-step explanation:
[tex] ln(x) + ln(y) - ln(z) [/tex]
from law of logarithms:
[tex]{ \bf{ ln(a) + ln(b) = ln(ab) }} \\ and \\ { \bf{ ln(a) - ln(b) = ln( \frac{a}{b} ) }}[/tex]
so, in the question:
[tex] ln(x) + ln(y) - ln(z) \\ \\ = \{ ln(xy) - ln(z) \} \\ \\ = ln( \frac{xy}{z} ) [/tex]
The required logarithmic expression is ln(xy/z). Option B is correct.
Given that
To simplify ln x + ln y + ln z
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
A logarithmic function can be defined as the function inverse of the exponential function is a logarithmic function.
In the question, an algebraic expression of the log function is given a simplified form of the expression to be determined using the logarithmic property.
Simplification,
= ln x +ln y + ln z
Since log A + log B = log(A.B)
and log A - logB = log(A/B)
From above properties
= ln (x . y) - ln z
= ln [(x. y )/z]
Thus, the required logarithmic expression is ln(xy/z). Option B is correct.
Learn more about logarithmic function here:
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6. Solve for x: 23x+1 = 210
Please please give detailed steps!! thank you
Answer:
x = 3
Step-by-step explanation:
Given
[tex]2^{3x+1}[/tex] = [tex]2^{10}[/tex]
Since bases on both sides are equal, both 2, then equate the exponents
3x + 1 = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
Fourteen percent of the towns population are above the age of 65. If there are about 320 residents over the age of 65 then what is the towns population.
Answer:
Step-by-step explanation:
Answer:
About 2286
Step-by-step explanation:
Let x be the number of the towns population.
14% x = 320
[tex]\frac{0.14x}{0.14} =\frac{320}{0.14}[/tex]
x = [tex]2285\frac{5}{7}[/tex]
x is about 2286.
-ek 4 - Assessment - C12000: X --- 2.com/le/content/9122/viewContent/279438/View puma 5 Drive Safely | Dash... BUMA ment e Left:0:23:21 Jennifer Glenn: Attempt 1 Question 19 (2.5 points) In the formula =(G15-G14)*$M$3/4, which mathematical operation is performed first?
Answer:
yes
Step-by-step explanation:
Please help i don’t have a lot
A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?
A:36 cm3
B:60 cm3
C:113 cm3
D:1,130 cm3
Answer:
D: 1,130 cm³
Step-by-step explanation:
You need the volume of a cylinder.
V = πr²h
V = 3.14159 * (6 cm)² * 10 cm
V = 3.14159 * 36 cm² * 10 cm
V = 1130.97 cm³
Answer: D: 1,130 cm³
Answer:
The choose D. 1130 cm³
v = r² pi/ h
v = (6)² × 3.14 × 10
v = 1130.4
v = 1130
The calculation for the correlation, r, for this set of five students is __________. Answer choices are rounded to the hundredths place.
Answer:
im not sure
Step-by-step explanation:
Answer:
0.32
Step-by-step explanation:
773 centimeters to meters
Answer:
7.73
Step-by-step explanation:
Solve for r -2r+4 < -9r-6
Answer:
r < -5/4
Step-by-step explanation:
r -2r+4 < -9r-6
Combine like terms
-r +4 < -9r-6
Add 9r to each side
-r + 9r+4 < -9r-6+9r
8r+4 < -6
Subtract 4 from each side
8r +4-4 < -6-4
8r < -10
Divide by 8
8r/8 < -10/8
r < -5/4
Answer:
[tex]r = \frac{ - 10}{8} [/tex]
Step-by-step explanation:
[tex]r - 2r + 4 < - 9r - 6 \\ r - 2r + 9r < - 4 - 6 \\ - r + 9r< - 10 \\ 8r < - 10 \\ r = \frac{ - 10}{8} [/tex]
Is 3.6 a natural/counting
Number
Answer:
It’s a rational number
Step-by-step explanation:
How do I solve this
Answer:
i dont know
Step-by-step explanation:
2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.
Answer:
750 CP AND PROFIT%=12%
Step-by-step explanation:
SP=rs 840
profit=90
CP=SP-profit
=840-90
=750
profit %=profit/CP*100%
=90/750*100%
=12%
If AED is 95°, find
the measure of
CEB.
Reason:
Answer:
Angle AED = Angle CEB —> Opposite angles
So; Angle CEB = 95°
I hope I helped you^_^
∠AED and ∠CEB are opposite angles so they will be the same so ∠CEB will also 95°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Two opposite angles become by the intersection of two lines will always same.
Since E is the intersection point so ∠AED and ∠CEB are opposite angles.
So,
∠AED = ∠CEB
∠CEB = 95°.
Hence "∠AED and ∠CEB are opposite angles so they will be the same so ∠CEB will also be 95°".
For more about the angle,
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how to find endpoint? please give good explanation
Answer:
(-11 , -16)
Step-by-step explanation:
The midpoint will always be, as the term suggests, in the middle of the line segment. You simply need to find the distance for both x & y, and to apply that to the midpoint. In this case:
Endpoint (x₁ , y₁): (5 , 10)
Midpoint (x₂ , y₂): (-3 , -3)
Note that when finding distance, you will subtract the point₂ from point₁:
x: 5 - (-3) = 8
y: 10 - (-3) = 13
Therefore, each time you plot another point, you will be subtracting 8 from the x value, and 13 from the y value:
Endpoint (x₃ , y₃) = Midpoint (-3 , -3) + (_ - 8 , _ - 13) = (-11 , -16)
(-11 , -16) is your answer.
~
Using midpoint formula
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \rm\longmapsto (-3,-3)=\left(\dfrac{5+x_2}{2},\dfrac{10+y_2}{2}\right)[/tex]
Firstly
[tex]\\ \rm\longmapsto \dfrac{5+x_2}{2}=-3[/tex]
[tex]\\ \rm\longmapsto 5+x_2=2(-3)=-6[/tex]
[tex]\\ \rm\longmapsto x_2=-6-5[/tex]
[tex]\\ \rm\longmapsto x_2=-11[/tex]
Now
.[tex]\\ \rm\longmapsto \dfrac{10+y_2}{2}=-3[/tex]
[tex]\\ \rm\longmapsto 10+y_2==2(-3)[/tex]
[tex]\\ \rm\longmapsto 10+y_2=-6[/tex]
[tex]\\ \rm\longmapsto y_2=-6-10[/tex]
[tex]\\ \rm\longmapsto y_2=-16[/tex]
Hence the coordinates are
(x2,y2=(-11,-16)Can anyone help me out? (120)(-0.5) =
Answer:
-60
Step-by-step explanation:
Calculator.
how do you simplify this question x^3z^7/x^5z
Answer:
go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.
Step-by-step explanation:
Find the y-intercept
of the line on the
graph?
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the (vertical) y-axis. That point is halfway between grid lines marked -2 and -4, so is at the grid line with the value -3. The x-coordinate there is 0, so the y-intercept point is ...
(x, y) = (0, -3)
_____
Since the y-intercept always has an x-coordinate of 0, we sometimes refer to the y-intercept using only the y-value: -3.
Factors and rewrite the expression 99x+9
Answer:
9(11x+1)
Step-by-step explanation:
99x + 9
The greatest common factor is 9 so put 9 outside of parenthesis
9(11x+9)
Answer:
9(11x+1)
Step-by-step explanation:
We can see that these two values in the equation can be factored by 9 so divide both by 9
99/9= 11
9/9= 1
Rewrite expression by inputting the numbers in parenthesis while keeping the 9 "outside"
9(11x+1)
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
VX
O(x, y) - (x + 5, y-3)
O(x,y) → (x + 5, y + 3)
(x, y) (x-3, y + 5)
O(x,y) → (X + 3, y + 5)
Answer:
Step-by-step explanation:
5 units up means y is crease by y =>
y+5
and x unit left means x is decreasedby 3
=> x-3
thus new coordinates are (x-3,y+5)
Thus (x,y) → (x − 3, y + 5) (x, y) is
correct
P.S. have a wonderful weekend!!
10% + 20% + 70% divided by 250 milliion
Answer: 8.16e-10
I think idrk
Answer:
[tex] \frac{10\% +20\% + 70\% }{250 \: million} \\ \\ \\ \frac{ \frac{10}{100} + \frac{20}{100} + \frac{70}{100} }{250 \times 10 ^{6} } = \frac{ \frac{100}{100} }{250 \times {10}^{6} } \\ \\ \frac{1}{250 \times {10}^{6} } = 4 \times {10}^{ - 9} [/tex]
I hope I helped you^_^
I badly need help with this!!! Pls pls help, thank you
Answer:
DAC=18(corresponding angles)
EAD= 162 degrees
Step-by-step explanation:
DAC=18(corresponding angles)
EAD=180-18(angles on a straight line)
EAD= 162 degrees
Answer:
Here, we have,
<HBA=18°
<DAC=?
<EAD=?
Now,
i)<DAC=<HBA=18°[being corresponding angle]
ii)<EAD+<DAC=180°[being straight angle]
or, <EAD+18°=180°
or, <EAD=180°-18°
or, <EAD=162°
Thus, <DAC=18° and<EAD=162°.
linear equation 4x-1=9
Answer:
5/2 or 2.5
Step-by-step explanation:
4x-1=9
4x=9+1
4x=10
x=10/4
x=5/2 or 2.5
Answer:
x = 5/2
Step-by-step explanation:
4x - 1 = 9
4x - 1 + 1 = 9 + 1
4x = 10
4x/4 = 10/4
x= 5/2
What is the relationship between the 6s in 675,002 and 385,621?
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
What is -1,098 3/20 minus -895.9
Answer:
the answer is -1445.05.
Answer:
Step-by-step explanation:
the answer is -1445.05.
Help please due today
Answer: Base = 3 Height = 8
Step-by-step explanation:
Base
9 to 1/3 = 3
Height
24 to 1/3 = 8
Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?
Answer:
1/2
Explanation:
22 ÷ 11 = 2
Exactly half of the cakes were made in the morning
Answer:
11:22
Simplified=
1:2
Answer with explanation please?
Answer:
x=136°
bcs they are parallel and they are congruent
................
PLEASE HELP
the question is in the picture above ^^
Answer: it’s B
Step-by-step explanation:
Can someone help with this question?
Find the area of the shaded region.
There are four parts of a circle, so you have to find out the area of the circle:-
10 cm=Radius
[tex]10^{2}[/tex]=100
[tex]\pi[/tex]=3.14
3.14*100=314 [tex]cm^{2}[/tex]
Now, find the area of the square box:-
Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.
Area=S*S
=20*20=400 [tex]cm^{2}[/tex]
Now subtract the area of the box from the area of the square:-
400-314= 86 [tex]cm^{2}[/tex]
That is the area of the shaded part.
Happy to help you!
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
to divide fractions invert the second fraction and multiply
True
Flase
Answer:
TrueStep-by-step explanation:
Example of dividing fraction:Givens: 1/2 and 3/61/2 ÷ 3/6= 1/2 × 6/3= 6/6= 1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]