The solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
It is given that the [tex]\rm log(2t+4)=log(14-3t)[/tex].
It is required to find the value of 't'.
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:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
Taking [tex]\rm log_1_0[/tex] base and removing the log from both sides.
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Thus, the solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
Learn more about the Logarithm here:
https://brainly.com/question/163125
Answer:
C or 2
Step-by-step explanation:
right on edge 2022
A hoodie has an original
cost of $40 but is currently on
sale at 20% off. What is the
sale price of the hoodie?
Answer:
32
Step-by-step explanation:
take $40, multiply by .8 since 20% is the sale
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes? Plss answer asap (30 brainlist for the correct answer)
Answer:
1000 metres
Step-by-step explanation:
2 mins= 100 meters
20mins=
100meters × 20mins
2 mins
=1000 meters
What is the difference?
Answer:
29√5
Step-by-step explanation:
Question 2 The sales rack in the women's clothes department of a department store contains 32 sweaters. The sizes and colors of these sweaters are given in the table below Sweaters on Sale Color Black Blue Pink Red White Small 4 2 3 Size Medium 4 5 5 2 1 Large 2 1 2 1 What is the probability that a sweater randomly selected from the sales rack is pink and size medium? A 3 32 B 5 32 5 17 D 5 8
Answer:
A because it looks like its that one
Step-by-step explanation:
ree
Unit test in science if you took it. It's question 10 four students measure the length of a paperclip whose actual length is 3.2 cm. Whose measurement is precise but not accurate? IS IT A OR B I DONT KNOW A.Samuel: 2.7, 2.7, 2.7, 2.8 B. Jose: 2.2, 2.6, 3.0, 3.3 C. Nikita: 3.1, 3.1, 3.2, 3.2 D. Anne: 2.6, 3.2, 3.2, 3.6
Answer: A.Samuel: 2.7, 2.7, 2.7, 2.8
Step-by-step explanation:
Given that actual length = 3.2cm
Samuel's score is precise but inaccurate. This is because, each of Samuel's four measurements are close to each other even though it lacks accuracy, because it is a bit far from the actual value of the measurement. Hence, of the measurements given for each of Samuel, Nikita, Jose and Anne, Samuel's score exhibits precision but inaccurate. Nikita's score is both precise and accurate
hello people ~
factorise: x² + 9x + 20
Answer:
[tex](x+4)(x+5)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+9x+20[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot 20=20[/tex]
[tex]b=9[/tex]
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
[tex]\implies x^2+4x+5x+20[/tex]
[tex]\implies (x^2+4x)+(5x+20)[/tex]
Factor the parentheses:
[tex]\implies x(x+4)+5(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies (x+4)(x+5)[/tex]
[tex]\\ \rm\rightarrowtail x^2+9x+20[/tex]
Use mid term splitation[tex]\\ \rm\rightarrowtail x^2+4x+5x+20[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+5(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+5)(x+4)[/tex]
Done!
Multiply
- 4u^2(-5u^3)
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Multiply~Powers:[/tex]
[tex]\bold{To~multiply~powers~of~the~same~base,~add~their~exponents.}[/tex][tex]\bold{2+3=5}[/tex][tex]2.)~Multiply~Bases:[/tex]
[tex]\bold{-4}[/tex] × [tex]\bold{-5=20}[/tex][tex]\bold{When~you~multiply~2~negatives,~the~product~will~always~be~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~simplifed~version~of~the~power~is~\boxed{20u^5.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
Aldo drove 845 miles in 13 hours.
At the same rate, how long would it take him to drive 325 miles?
Answer:
5 hours
Step-by-step explanation:
time per mile = number of hours ÷ number of miles
= 13 ÷ 845
= 1/65 hours per mile
time to drive 325 miles = 325 × time per mile
= 325 × 1/65
= 5 hours
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g k2 + 3g – 6 One-fourthk2 + 3g 3g + 9 k2 – 3
Answer:
The answer is A, k2 + 3g – 6
Step-by-step explanation:
did the assignment on edge2020
A:
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g
(-4×√1/16÷0.5) and (3+(-5))²
you answer is this 364. 41
your welcome
have a good day or night
Answer:
3.5
Step-by-step explanation:
Alaska is the largest state in the United States. The state has an area of approximately 663,000 square miles. Rhode Island is the smallest state in the United States, with an area of approximately 1,000 square miles. Currently, the populations of Alaska and Rhode Island are 732,000 people and 1 million people, respectively. If Alaska had the same number of people per square mile as Rhode Island, what would its population be? In two or more sentences, explain your calculations and conclusions.
Answer:
663 Million people
Step-by-step explanation:
If you divide alaska into rhode island its 663 rhode islands in alaska, then theres 663 people in alaska fi the populations were the same
WILL GIVE BRAINLIEST
Match the equations of the lines with their graphs
One card is drawn from a deck of 52 cards,well-shuffled .calculate the probability that the card will be diamond.
Answer:
52/4 which is 13, so 13/52 which is .25, so 25% chance
100 POINTS!!!
If you have a line perpendicular to the line given by the equation
, what would be the slope of the perpendicular line?
EXPLAIN
Answer:
A.
Step-by-step explanation:
The slope of a perpendicular line is the negative reciprocal of the original line.
Negative reciprocal of -4/5 is 5/4
1. Square roots are the____of perfect squares. ( i really need help like now plz )
Answer:
opposite
thats the answer
Answer: Whole number (I think)
Step-by-step explanation: Sorry if I am wrong..
(Sorry I am wrong lol)
In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 60 feet away from the base of the tower. The angle of elevation of the zip line is 20°. Estimate the length of the zip line to the nearest tenth of a foot.
about 63.9 ft
about 21.8 ft
about 175.4 ft
about 164.8 ft
Using relations in a right triangle, it is found that the length of the zip line is of about 63.9 ft.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the hypotenuse is the length of the line, considering that the base of 60 ft is adjacent to the angle of 20º, hence:
[tex]\cos{20^\circ} = \frac{60}{l}[/tex]
[tex]l = \frac{60}{\cos{20^\circ}}[/tex]
[tex]l = 63.9[/tex]
The length of the zip line is of about 63.9 ft.
More can be learned about the relations in a right triangle at https://brainly.com/question/18090623
Please help I’m l got stuck on this one
Answer:
Hope this helps... Please thank + mark me as brainlist = Follow
Answer:
32 Black grapes
Step-by-step explanation:
The ratio is 3:4 meaning that for every 3 green grapes, there are 4 black grapes
If there were 6 green grapes there would be (4/3)*6 black grapes, thus, 8 grapes
In this case, we have 24 green grapes, simply apply this ratio to find the black grapes;
(4/3)*24 = 32
1) The cost of carpeting a floor with area 120 m² is Rs 3840. What is the cost of
carpeting the floor if its area is increased by 10² m??
Answer: 4,160
Step-by-step explanation:
find the value of 8
[tex] {8}^{3} [/tex]
Find the value of c-7 when c= 20.
Answer:
13
Step-by-step explanation:
13u = 26 is it 39, 338 , or 2
Answer:
13u = 26
13*2 = 26
2 is the answer
Answer:
Today: Monday, 12 October 2020
Hour: 09.17 WIB (in Indonesian)
_________________________
13u = 26
u = 26/13
u = 2
Simplify this question
2/4x+4 - 2x/2
Answer:
[tex] \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Step-by-step explanation:
[tex] \frac{2}{4x + 4} - \frac{2x}{2} [/tex]
[tex] = \frac{2 \times 2}{(4x + 4) \times 2} - \frac{(2x) \times (4x + 4) }{2 \times (4x + 4)} [/tex]
[tex] = \frac{4}{8x + 8} - \frac{8 {x}^{2} + 8x }{8x + 8} [/tex]
[tex] = \frac{4 - (8 {x}^{2} + 8x) }{8x + 8} [/tex]
[tex] = \frac{4 - 8 {x}^{2} - 8x }{8x + 8} [/tex]
[tex] = \frac{4 \times (1 - 2 {x}^{2} -2x ) }{4 \times (2x + 2)} [/tex]
[tex] = \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
The cost to rent a bike is $28 for the first day plus $2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting the bike for 8 days?
Answer:
42
Step-by-step explanation:
The explicit formula for the rental cost is =+. The cost of renting a bike for 2 days is $42.
The equation for the rental cost for n days will be 28 + 2n.
Based on the information given, the explicit formula for the rental cost for n days will be:
= 28 + (2 × n)
= 28 + 2n
Therefore, the cost of renting the bike for 8 days will be:
= 28 + 2n
= 28 + 2(8)
= 28 + 16 = 44
Learn more about equations on:
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Picture I drew of custom made re animated sasuke eye
Answer:
[tex]five[/tex] [tex]stars![/tex]
★ ★ ★ ★ ★
An object is moving at a speed of 3 meters per minute. Express this speed in miles per year.
Answer:
979.78.
Step-by-step explanation:
Answer:
979.78
Step-by-step explanation:
Can someone please explain how to answer no8 and no9?
Answer:
no8 is a and no9 is b
Given f(x) = 9x - 10, find f(8) *
Answer:
[tex]\huge\boxed{f(8) = 62}[/tex]
Step-by-step explanation:
[tex]\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
f(8) = 62
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x) , that is
f(8) = 9(8) - 10 = 72 - 10 = 62
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times (6 6 6) (6 times 6 times 6 times 6) times (6 times 6 times 6) (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6).
The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,
[tex]6^4\times6[/tex]
Suppose the equivalent expression of this equation is n. Thus,
[tex]n=6^4\times6[/tex]
The 4 power of number 6 means that the number 6 should be multiplied 4 times.
[tex]n=(6\times6\times6\times6)\times6[/tex]
Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer: (6.6.6.6).6
Step-by-step explanation:
Suppose you are mixing
blue paint and yellow point
in a 2:3 ratio to make green
paint. How many pails of
blue paint would you need
If you use 30 pails of yellow
paint?
Answer:
20
Step-by-step explanation
I have no clue how to explain this.
Need help ASAP! Tysmm
Answer:
Square
A=bh
A=6(6)
A=36m²
Triangle
A=½bh
A=4(3)(½)
A=12(½)
A=6m²
total
36-6=30m²