The true solution of the [tex]\rm 3log2+log8=2log(4x)[/tex] is 2.
It is given that the:
[tex]\rm 3log2+log8=2log(4x)[/tex]
It is required to find the value of [tex]\rm x[/tex].
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
Some properties of Logarithm:
[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]
We have:
[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]
Thus, the true solution of the given expression is 2.
Learn more about the Logarithm here:
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Answer: B
Step-by-step explanation:
Simple because Im the man the simple
Verify that - (-x) = r for
(1). x =2/15
(2).x=-13/17
Answer:
1.-(-2/15)=2/15
2.-(-13/17)=13/17
Step-by-step explanation:
Solve this equation, Please!
10m=25
Will try to mark the brainliest!
Answer:
5/2
Step-by-step explanation:
Divide both sides by the same factor then simplify
Answer:
m=2.5
Step-by-step explanation:
10m=25
m=25/10
m=5/2
m=2.5
Triangle PQR ~Triangle TUV. In Triangle PQR, ∡P = 33 degrees and ∡Q = 42 degrees. Find the measure of ∡V.
Answer:
angle v is 105
Step-by-step explanation:
the triangles are similar, so the angles will be the same so both triangles, the sum of the angles for a triangle must add up to 180 degrees
Question is is in the picture
Answer:
$5 per person
Step-by-step explanation:
3 people. 5 dollars each. 15 dollar admission. 3x5 is 15
A washing machine costs 1,230. You catch the item on sale and save $369. What percent did you save on the washer
Answer:
so we have to find what percentage 369 is of 1230
369/1230=0.3
so they save 0.7 or 70%
Hope This Helps!!!
Answer:
Step-by-step explanation:
1,230/569= 3.3 or 87-89%
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05 please select the best answer from the choices provided a b c d
The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Rodney owes $1,541.05 on his credit card.
His card has an APR of 16.29%, compounded monthly.
Assuming that he makes no payments and no purchases.
He owes after one year will be
Amount = 1541.05 × 1.1629
Amount = 1792.087 ≅ 1792.09
More about the percentage link is given below.
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what is x of the rectangle?
Answer:
x = 8
Step-by-step explanation:
Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)
Since the two angles that make up angle E sum up to 90, we can make an equation:
(9x - 6) + (2x + 8) = 90
11x + 2 = 90
11x = 88
x = 8
Help with finding out if an equation has multiple solutions.
Answer:
Exactly one solution.
Step-by-step explanation:
When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.
Answer:
B
Step-by-step explanation:
23y+50+27y=50y+50
find your same like terms and solve
23y+27y+51y
51y+50=50y+50
51y +50y=50+50
you would be left with one solution
101y=100
The scatterplot shows the height in centimeters and weight in kilograms of several students. Student Weight and Height, Height, centimeters, weight, kilograms Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?
The scatterplot shows that the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm.
What is a scatterplot?It should be noted that a scatterplot simply means a type of data display which shows the relationship between two numerical variables.
From the complete question, the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm. This was illustrated in the scatterplot.
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40 is 1/10 of 400 please help me
Answer:
True statement
Step-by-step explanation:
400/10 = 40
so we can say the 40 is a tenth 400
It takes Manisha 38 seconds to climb up the stairs of her house. If she spends 504 seconds doing this, how many minutes has she spent climbing the stairs of her house in a week?
Answer:
Manisha spent 8 minutes and 24 seconds in a week climibing the stairs of her house.
Step-by-step explanation: (totally my work, not copied)
Convert seconds to minutes.
60x8=480
60x9=540
so, 8 minutes
Find the remaining seconds.
504-480=24
Add remaining seconds to minutes
24sec+8min=8min24sec
So hence, your answer is 8 Minutes and 24 Seconds
Manisha spent 8 minutes and 24 seconds in a week climbing the stair of her house.
Thanks!
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Eric is keeping track of rain water. On Monday it rained 1 3/4cm. On Tuesday it rained 2 1/8cm. How much more did it rain on Tuesday than on Monday
Answer:
It rained 3/8 cm more on Tuesday than Monday.
Step-by-step explanation:
What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm
distribute -1/4(16x-8)
-1/4 times 16 = -4.
-1/4 times -8 = 2.
-4x + 2
please help Simplify the following expression.
Answer:
răspuns corect :a 2x -8y +3
Step-by-step explanation:
dami coroana te rog
Using the Pythagorean Theorem What is the length of side a when b=24 and
c=262
Answer:
261
Step-by-step explanation:
a²+b² = c²
Given, a = ?
b = 24
c = 262
a² = c² - b²
a²= 262² - 24²
a² = 68644 - 576
a² = 68068
a = √68068
∴ a= 260.89844
can be said as 261
5 people build 3 huts in 21 days . Find the number of people that will build 6 huts in 15 days ?
3 huts are built by 5 people in 21 days.
So 1 hut is built by 5 people in 7 days.
That is to say, 1 hut requires 5*7 = 35 man-days.
Which means 6 huts need 6*35 = 210 man-days.
If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.
Answer = 14 people.
marios rental store charges a one time fee of $18 and then $6 per movie.Luigi's rental store charges $9 per movie. How many movies must be rented for the total cost of the two stores to be equal
The vertices of ATM are A(3,-1), T(1,5) and M(-1,2). Find the slope of the altitude
from T to AM.
Answer: 4/3
Step-by-step explanation:
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0. 2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3. 6 inches 18. 2 inches 60 inches 90 inches.
i need more info cmon man
Step-by-step explanation:
ur mom
A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions.
Apples cost $ __ per pound.
Answer:
.70 hope this helps
Step-by-step explanation:
Observe the pattern 5,9,13, 17. In this number pattern, find the algebraic expression ?
help me!!! please
and explain me please!!!
Answer:
+ 4
Step-by-step explanation:
The pattern of the expression is +4 as you see it goes 5 to 9
5 + 4=9
And if i'm correct the number after 9 will be 13 and it is
9 + 4=13
next it will be a 17 because 13 + 4=17
The next following numbers of the pattern will be 21 25 29 33 37 41 45
Hope it helps have a great day:)
A race is 7/10 kilometers long. Ryan ran 9 of these races. How far did he run altogether?
Answer:6 and 3/10 kilometers
step-by-step explanation:
7/10 times 9 = 63/10
6 and 3/10 kilometer
Answer:
6 and 3/10 kilometers
Step-by-step explanation:
hope this help'<'
whats the solution to 5x+2y=8
Answer:
Not possible.
Step-by-step explanation:
We would need another equation to solve this problem as we have 2 variables.
Please answer with steps
question down below
Answer:
n = 6 probably
Step-by-step explanation:
10 + I 10n + 6 I+ = 76
since " I I " means it will always be positive we can kinda just ignore it
10 + 10n + 6 = 76
16 + 10n = 76
10n = 76 - 16
10n = 60
n = 6
Rs 515 is divided between Sangeetha and Manish in the ratio 4 :1
( i) Find the amount Sangeetha gets
(ii) Find the amount Manish gets
(iii ) Sangeetha’s share is more than Manish by
Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309
Data;
Ratio = 4:1Amount shared = 515The amount Sangeetha gotTo calculated the amount Sangeetha got, let's solve the ratio
[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]
Sangeetha got Rs 412.
The amount Manish gotTo calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515
[tex]\frac{1}{5} * 515 = 103[/tex]
Difference in the amountThe difference in the amount is calculated by subtracting 412 from 103
[tex]412 - 103 = 309[/tex]
Learn more on ratios here;
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Kayson mixes 300300300 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of spinach, 200\,\text{mL}200mL200, start text, m, L, end text of berries, and 42\,\text{mL}42mL42, start text, m, L, end text of dressing to make a salad. There are sss milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of vitamin C per milliliter of spinach, b\,\text{mg}bmgb, start text, m, g, end text per milliliter of berries, and d\,\text{mg}dmgd, start text, m, g, end text per milliliter of dressing.
Answer:
Total, T = (300s+200b+42d) mg
Step-by-step explanation:
Given that,
Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.
There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.
In 300 mL of spinach vitamin C is = (300 s)mg
In 200 mL of berries vitamin C is = (200 b)mg
In 42 mL of salad vitamin C is = (42 d)mg
It means that, total mg of vitamin C is :
Total, T = (300s+200b+42d) mg
Hence, this is the required solution.
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x After what y-value does the exponential function appear to surpass the linear function?.
After the value of y is 4 does the exponential function definitely surpasses the linear function.
What is exponential function?
A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.
As we can see y1=2x is a linear function and y3=2^x is a exponential function.
The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)
When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
To know more about linear function click the link given below.
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Answer:
4
Step-by-step explanation:
edge 2022
find the area of the polygon
Answer:
784m^2
Step-by-step explanation:
is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).
40 * 20 = 800m ^ 2, then we find the area of the right triangle
1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.
we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2
how do you find the height of a cylinder?
Answer:
[tex]H = \frac{V}{\pi r^{2} }[/tex]
Step-by-step explanation:
So long as you have the volume and radius of a cylinder, it should be easy!
Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).
That is the formula for finding the height of a cylinder!
I hope this helped!
what are the missing blanks?
Answer:
1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)
4 - 10
6 - 15
14 - 33
Step-by-step explanation: