Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
It is given that logarithm expression is [tex]\rm log3(x+4)[/tex]
It is required to simplify the above equation.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have logarithm expression:
[tex]\rm log3(x+4)[/tex]
We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.
[tex]\rm logxy=logx+logy[/tex]
By using this property we get:
[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]
Because 3 and (x+4) are two different numbers, not (x+4).
Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
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Answer:
Step-by-step explanation:
optin three is the answer i have took the test (Which expression is equivalent to log3(x + 4)?
log3 – log(x + 4)
log12 + logx
log3 + log(x + 4)
StartFraction log 3 Over log (x + 4) EndFraction)
(12x^2+50x+32)/ (2x+7)
Need the quotient & reminder
Answer:
Quotient: 6x+4
Remainder: 4
Step-by-step explanation:
Hope this helps!
Select all correct conversions. 345 m = 0. 345 km
1. 7 cm = 17 mm
343 m = 34. 3 cm
4. 7 m = 47,000 mm
1. 25 km = 1,250 m
Answer:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Step-by-step explanation:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Do 2b + b and 3b have the same value for all values of b?
Answer:
Yes
Step-by-step explanation:
2B+B=3b and 3b and 3b are the same.
Thus, they have the same value
i need help n njnkjjknknknknjnjnkn
Answer: 640
All you have to do is Length times Width times Height.
Step-by-step explanation:
4x10x16
4x10=40
40x16=640
So, 640 your answer.
Write in words: 46306.
Answer:
Forty six thousand,three hundred and six
Answer: Forty-six thousand three hundred and six
Nicole accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Nicole's salary will be $100000 and after working for the company for 5 years, she will have a salary of $110000. Write an equation for S,S, in terms of n,n, representing Nicole's salary after working nn years for the company.
Answer:
S=2000n+100000
Step-by-step explanation:
Since Nicole will have a salary of $110000 after working 5 years for the company, we know that S = 110000 when n = 5.
Find the slope using the two points.
110000 - 100000 10000
m = ------------------------ = ---------- = 2000
5-0 2
The slope shows how much the salary increases each year, which is the same thing as saying that Nicole got a raise of $2000 every year.
what is at the end of a rainbow
Answer:
A pot of Gold supposedly with a leprechaun next to it
Step-by-step explanation:
Answer:
You can't reach the end of the rainbow because a rainbow is kind of like an optical illusion. A rainbow is formed because raindrops act like little prisms. So no matter how you move, the rainbow will always be the same distance away from you. That's why you can never reach the end of the rainbow.
How much energy does it take to melt 2 kg of ice? (Refer to table of
constants for water.)
1 mol
O A. 2 kg > 1000 g/kg *
18.02 g
X
x 40.65 kJ/mol = 4512 kJ
1 mol
B. 2 kg x 1000 g/kg *
*(-285.83 kJ)/mol = -31,724 kJ
18.02 g
O C. 2 kg > 1000 g/kg x
1 mol
18.02 g
x 6.03 kJ/mol = 669 kJ
O D. 2 kg > 1000 g/kg *
1 mol
18.02 g
x 4.186 kJ/mol = 465 kJ
The energy that it takes to melt 2 kg of ice is; (2 kg * 1000 g/kg) * 1 mol/18.02 g * 6.03 kJ/mol = 669 kJ
What is the energy required?
We are given;
Mass of ice; m = 2 kg
Now, from tables showing constants for ice, we see that;
Molar heat of fusion for ice; Δ_fus.H = 6.03 kJ/mol at 0°C.
Molar mass of Ice which is water is; 18.02 g/mol
Formula to get the energy is;
E = (m/M) * Δ_fus.H
E = (2 kg * 1000 g/kg) * 1 mol/18.02 g * 6.03 kJ/mol = 669 kJ
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the select options are: "how many days" "how much money" "how many hours" PLEASE HELP LAST TIME I POSTED THIS QUESTION I GOT A FAKE LINK >:(
Answer:
25
2.5
how many hours
I hope this helps
What is the value of the expression? -16+12
Answer:
-4
Step-by-step explanation:
please give brainliest
Answer:
The answer is -4
Step-by-step explanation
-16+12=16-12=4 since you have -16 the 4 turns -
The mode in
11, 6, 7, 7, 4?
3, 4, 4, 4, 6, 7, 6, 9, 2?
3, 6, 7, 9, 4, 4?
4, 9, 16, 11, 8, 1, 4?
Answer:4
Step-by-step explanation:
organize:
1
2
3 3
4 4 4 4 4 4 4 4
6 6 6 6
7 7 7 7
8
9 9 9
11 11
16
what appears the most : 4
Pls help will mark as brainliest and give points
Answer:
y= 4x+2
Step-by-step explanation:
Remember slope is rise over run. From the y-int the next point is up 4 units and right 1. The slope formula is Y2-Y1/X2-X1 so 6-2/1-0= 4
Given that q(x) = 6 -5x and q(x) =21 x=
Answer:
x = -3
Step-by-step explanation:
6 - 5 ( -3 ) = 21
21 = 21 ✅
What is the value of 532x13
Answer:
the value of 532×13=6,916
answer this question
Answer:
95°
Step-by-step explanation:
all triangles add up to 180 so
19x + 10x + 7x = 180
36x = 180
36 36
x = 5
19(5) = 95°
7(5) = 25°
10(5) = 50°
Answer :8.3
Step-by-step explanation:
How many heads would you expect if you flipped a coin twice? first, fill in the table below with the correct probabilities. hint: the sample space for flipping a coin twice is {hh, ht, th, tt}. a 4-column table has 2 rows. the first column has entries number of heads and probability. the second column has entries 0, a. the third column has entries 1, b. the fourth column has entries 2, c. a = b = c =
The value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The 4-column 2 rows table which shows the number of heads and probability of that is shown below.
Heads 0 1 2
Probability. a b c
When a coin is flipped two times, then we get the four outcomes. The sample space for flipping a coin twice is,
[tex]{HH, HT,TH, TT}[/tex]
Here, the H represent the head and T represent the tail. Only one time in four events there is no head appear. In this sample space, the probability of 0 heads both the time is,
[tex]P_0=\dfrac{1}{4}=0.25[/tex]
The 1 head appears twice in the sample space (HT, TH). Thus, the probability of 1 heads both the time is,
[tex]P_1=\dfrac{2}{4}=0.50[/tex]
On both flip, head appears a single time in the sample space (HH). Thus, the probability of 2 heads both the time is,
[tex]P_2=\dfrac{1}{4}=0.25[/tex]
The new table for these values is attached below.
Hence, the value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
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Answer:
A: 1/4
B: 1/2
C: 1/4
The expected value for the number of heads is:
1
I hope this helped; You got this!!
Alexandra and Chi compete in an Olympic-type triathlon consisting of a 1.5 km swim, a 40 km bicycle ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1dash4 below.
Alexandra
Chi
Swim
5 km/hr
6 km/hr
Transition 1
4 minutes
5 minutes
Cycle
15 km/hr
15 km/hr
Transition 2
3 minutes
5 minutes
Run
6 km/hr
7.5 km/hr
Complete question :
Alexandra and Chi compete in an Olympic-type triathlon consisting of a 1.5 km swim, a 40 km bicycle ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1dash4 below.
How long does it take Alexandra to complete the triathlon. Write a linear equation to model total time t in hours.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SWIM:
Alexandra __5km/hr
Chi _______ 6km/hr
Transition 1:
Alexandra __ 4 minutes
Chi _______ 5 minutes
CYCLE:
Alexandra __15km/hr
Chi _______ 15km/hr
Transition 2:
Alexandra __ 3 minutes
Chi _______ 5 minutes
RUN:
Alexandra __6km/hr
Chi _______ 7.5km/hr
Distances:
swim distance = 1.5km
bicycle ride distance = 40km
run distance = 10km
Time taken by Alexandra :
time = distance / speed
Swim time = 1.5km / 5km/hr = 0.3 hr
Transition 1 = 4/60 = 0.067 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 3/60 = 0.05 hr
Run time = 10 / 6km/hr = 1.67 hrs
Total time(t) in hours taken by Alexandra :
(0.3 + 0.067 + 2.67 + 0.05 + 1.67) hrs = 4.757 hours
Time taken by Chi :
time = distance / speed
Swim time = 1.5km / 6km/hr = 0.25 hr
Transition 1 = 5/60 = 0.083 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 5/60 = 0.083 hr
Run time = 10 / 7.5km/hr = 1.33 hrs
Total time(t) in hours taken by Chi
(0.25 + 0.083 + 2.67 + 0.083 + 1.33) hrs = 4.757 hours = 4.416 hours
What is 2.1 x 10^4written in standard form is
Answer:
21000
Step-by-step explanation:
You move the decimal point over that many times as the power of 10.
IT is found that [tex]2.1 \times 10^4[/tex] can be written in standard form as 21,000.
Since Scientific notations have some of the profits are Better readability due to compact representation
The value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
To convert from scientific notation to standard form, we simply move the decimal point to the right by the number of places indicated by the exponent (4 in this case).
Starting with [tex]2.1 \times 10^4[/tex] , we move the decimal point four places to the right to get 21,000.
Hence, [tex]2.1 \times 10^4[/tex] in standard form is 21,000.
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1 and 4 are congruent because
Answer:
Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.
Step-by-step explanation:
Graph the system of linear inequalities on the coordinate plane.
Shade the solution to the system of inequalities.
Pick a point and show your solution is correct.
The graph can be seen at the end, and by looking at it, you can see that a solution can be (10, 0).
How to graph the system of inequalities?
y ≥ (-1/2)*x + 2 + 1/2
y < (1/5)*x + 6
To graph it, first we need to graph the lines:
y = (-1/2)*x + 2 + 1/2
y = (1/5)*x + 6
Once you have this, we analyze each inequality.
y ≥ (-1/2)*x + 2 + 1/2
Because we use the symbol ≥ we need to use a solid line and we need to shade the region above the line.
For y < (1/5)*x + 6 we need to use a dashed line (the symbol < implies that the points on the line are not solutions) and we need to shade the region below the line.
Then the solution of the system is given by the intersection of the shaded region.
For example, a solution can be the point (10, 0), which you can see that belongs to that region.
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Is this transformation rigid or non-rigid?
i thin kits rigid
Step-by-step explanation:
Carlos found a nice suit with a price tag of $300. It was on a rack that said take 25% off the price. At the register he got another 10% off of the discounted price of the suit. How much did the suit cost after both discounts were taken off? (Please help)
720 students took part in the survey. Only 45% were female.
How many males took part in the survey?
Answer:
396 males
Step-by-step explanation:
First, let's find the percentage of males who took part in the survey.
100% - 45% = 55%.Now, let's find 55% of 720.
Step 1: Multiply 55 by 720
55 × 39600Step 2: Divide 39,600 by 100.
39600/100396 malesHave a lovely rest of your day/night, and good luck with your assignments! ♡
The number of males took part in the survey is 396.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 720 students took part in the survey.
Only 45% were female.
So, the number of females = 45% of 720
= 45/100 ×720
= 0.45×720
= 324
So, number of males = 720-324
= 396
Therefore, the number of males took part in the survey is 396.
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2x – 2y = 24
4x + 7y = –40
Answer:
Step-by-step explanation:
pls help mee!!
find the area of the composite shapes
Number 4 is is 46m u are going to ad all the numbers in number 4
Number 5 is 26m u are going to do the same thing like number 4,5,6
Number 6 is 54m
A tree that is 9 feet tall casts a shadow that is 27 feet long. How
long will the shadow be of a tree that is 20 feet tall?
Answer:
60 feet
Step-by-step explanation:
9 / 27 = 20 / x
cross multiply and divide
9x = 540
x = 60
Which expression is equivalent to startroot startfraction 2 x superscript 5 baseline over 18 endfraction endroot? assume x greater-than-or-equal-to 0.
The expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].
The given expression is [tex]\sqrt{\frac{2x^{5} }{18} }[/tex].
We can write the above expression as [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex]
What is the square root of [tex]x^{2}[/tex] and 9?The square root of [tex]x^{2}[/tex] i.e. [tex]\sqrt{x^{2} } =x[/tex] and same for [tex]\sqrt{9} =3[/tex].
So, we can write the expression [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex] as [tex]\frac{x.x\sqrt{x} }{3}[/tex].
So, [tex]\frac{x.x\sqrt{x} }{3}= x^{2} \frac{\sqrt{x} }{3}[/tex].
Therefore, the expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].
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Brandon bought three pounds of bananas for $1.35. How much would ten pounds of bananas cost at the same price per pound?
pls help ASAP this is due in 1 hour and i can't figure it out! HELPPP
the area of the surface of this design is 31 in long
Answer:
392 inches²
Step-by-step explanation:
10 inches × 6 inches = 60 inches²
60 inches² × 2 = 120 inches²
----------------------------------------------------------------------------------------------------------
(6 inches + 4 inches) × 6 inches = 10 inches × 6 inches = 60 inches²
60 inches² × 2 = 120 inches²
----------------------------------------------------------------------------------------------------------
(10 inches × 6 inches) + (4 inches × 4 inches) = 60 inches² + 16 inches² = 76 inches²
76 inches² × 2 = 152 inches²
----------------------------------------------------------------------------------------------------------
Add them all together ~
120 inches² + 120 inches² + 152 inches² = 392 inches²
Given mn, find the value of x. + >m (8x+5)° (4X-17)°