Answers
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Solution:-1:-
[tex]\\ \sf\longmapsto 2^n=1024[/tex]
Equal the bases[tex]\\ \sf\longmapsto 2^n=2^10[/tex]
[tex]\\ \sf\longmapsto n=10[/tex]
Solution:-2:-
[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]
[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]
[tex]\\ \sf\longmapsto 2n-3=2[/tex]
[tex]\\ \sf\longmapsto 2n=2+3[/tex]
[tex]\\ \sf\longmapsto 2n=5[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]
[tex]\\ \sf\longmapsto n=2.5[/tex]
Related Questions
what percentage is equal to 2/5?
a. 50%
b. 25%
c. 10%
d. 40%
Answers
Answer:
40%
Step-by-step explanation:
Percent is out of 100
2/5 * 20/20
40/100
40%
Answer:
Step-by-step explanation:
Divide 2 by 5 to get the decimal .4. Multiply that by 100 to get the percent:
40%, choice d.
PLEASE HELP ME WITH THIS!!!!!
Answers
9514 1404 393
Answer:
see attached for a plot
14.44, 15.21, 3.8727² ≈ 14.99780529
Step-by-step explanation:
(3.8)² = 14.44
(3.9)² = 15.21
The root of 15 will be approximately at the spot where the line between these values crosses 15.
We can see the slope of the square function is approximately ...
m = (15.21 -14.44)/(3.9 -3.8) = 0.77/0.1 = 7.7
Then the value we need to add to 3.8 will be ...
(15.00 -14.44)/7.7 = 0.56/7.7 ≈ 0.0727
An approximation of the root is 3.8727.
_____
Additional comment
Here, the location we plotted for √15 is "exact." We're not sure what original approximation you're trying to better. We chose to use linear interpolation between the points (3.8, 14.44), (3.9, 15.21) to estimate the value of 'x' that would give x^2 = 15. (There are other, better, ways to refine the estimate of the root.)
Factor 2x2c2 + 3xc2 − 35c2. Show your work.
Answers
Answer:
c²(x + 5)(2x - 7)Step-by-step explanation:
2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]
Take c^2 common[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]
Factor the brackets[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]
[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]
[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]
2(-n - 3) - 7(5+ 2n)
Answers
Answer:
-16n-41
Step-by-step explanation:
2(-n-3)-7(5+2n)
Distribute
-2n-6-35-14n
Combine like terms
-16n-41
Hope this helps!
PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5
o x>1/6
o x<1/6
o x>6
o x<6
Answers
Answer:
1/6 <x
Step-by-step explanation:
-2(8 x - 4) < 2x + 5
distribute
-16x+8 < 2x+5
Add 16x to each side
-16x+16+8 < 2x+16x+5
8<18x+5
Subtract 5 from each side
8-5 < 18x+5-5
3<18x
Divide by 18
3/18 <18x/18
1/6 <x
I think it migth be the first one
give me brainlieSt
it is 1/6
please answer if you can
Answers
Step-by-step explanation:
denominator
add numerator
Question 21 of 25
What is g(x)?
10-
у
5-
10
-5
5
-5-
-10
A. g(x) = -1X
B. g(x) = -x2
C. g(x) = -2*
D. g(x) = -x
SIDST
Answers
Answer:
C. g(x) = -2^x
Step-by-step explanation:
----------
The function shown in the graph is C. g(x) = -2ˣ.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
Given is a graph of a function.
The graph must be a negative function since as the value of x increases, the value of y decreases and the y value is always negative.
The graph of |x| is a straight line.
Similar in the case of x also, y = x is a straight line.
The graph of the function x² will be a parabola since the highest exponent is 2.
So the graph is that of a exponential function.
Since it is negative g(x) = -2ˣ is the required function.
Hence the required function is g(x) = -2ˣ.
Learn more about Exponential functions here :
https://brainly.com/question/11487261
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At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The
snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow
was melting, how much snow would Camden have on his lawn 4 hours after the snow
began to fall? How much snow would Camden have on his lawn after t hours of snow
falling?
Snow on lawn after 4 hours:
Show on lawn after t hours:
Answers
Answer:
ans - all the snow would been removed ....bcause 4 *2.5 is 10
Answer: 20
2.5 + 10
Step-by-step explanation:
The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)
Answers
Answer:
15 cm
Step-by-step explanation:
so:
if A= b x h and web have b Just Do the inverse formula:
H = a/b h=120/8 = 15 cm
Sorry for my bad English but I'm italian
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $27.00 per square meter. How much will the chalkboard cost?
Answers
Answer:
The chalkboard costs $54.00
Step-by-step explanation:
A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.
The area of a rectangle is given by the formula:
A = lw
Use formula:
A = (2)(1) = 2 m^2
The chalkboard costs $27.00 per square meter so:
2 x 27 = 54
The chalkboard costs $54.00
When a willow tree was planted it was 24 inches tall. Three years later, the tree was 54 inches tall. How many inches per year is the willow tree growing on average?
Answers
Answer:
On average 10 inches
Step-by-step explanation:
1st= 24 inches
2nd= 34 inches
3rd= 44 inches
4th= 54 inches
Algebra
factorize
a4 - 3a2b2 + b4
Answers
Answer:
The term a⁴-3a²b²+b⁴ can't be factorised
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
1) x=6, 2) x=13
Step-by-step explanation:
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answers
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
Prove that angle ABD is congruent to angle CBE
with solution!
Answers
ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
Helpppp Please! Please!
Answers
∠B＝∠D
CA＝AC
△DCA≌△BCA (AAS)
NO＝NQ
OP＝QP
NP＝PN
△NOP≌△NQP (SSS)
∠FOW＝∠KIB
∠OFW＝∠IKB
FW＝KB
△FOW≌△KIB (AAS)
Hope my answer helped u :)
1+1=
please help me, this question is very difficult
Answers
Answer:
2 or tricky answer 11
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that:
She plans to drive 400 miles.
She has at most $210 to spend.
Use the drop-down menu below to write an inequality representing dd, the total number of days Claire can rent the car while staying within her budget.
Answers
The required inequality that expresses the given condition is 36 + 29x ≤ 210.
Given that,
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that she plans to drive 400 miles. she has at most $210 to spend.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of days be x,
Total cost to drive 400 miles = 400(0.09) = $36.
According to the question,
36 + 29x ≤ 210
Thus, the required inequality that expresses the given condition is 36 + 29x ≤ 210.
Learn more about inequality here:
brainly.com/question/14098842
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Round each to the nearest cent.
$879.190
and
$532.626
Answers
Answer:
$879.190 = $879.19
$532.626 = $532.627
Step-by-step explanation:
You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answers
Answer:
74 degrees
Step-by-step explanation:
You can see this is a supplementary angle, which means that it is a straight line with a line sticking out. This means the two angles add up to 180 degrees, so 180 - 106 = 74, which is your answer.
Answer:
x = 74°
Step-by-step explanation:
x + 106 = 180 {linear pair}
Subtract 106 from both sides
x = 180 - 106
x = 74°
The angle of elevation to the top of the
school is 37° from where you are standing
11.2 m from the wall of the school. Find
the height of the school.
Answers
Answer:
8.44 m
Step-by-step explanation:
SohCahToa is a good way to remember that Sin = opposite/hypotenuse, Cosine = adjacent/hypotenuse and Tangent = opposite/adjacent. In this case, we have to use tangent. So tan 37° = x/11.2. Multiply both sides by 11.2 and you get tan 37° × 11.2 = x; The height of the school is x so the height of the school is 8.44 m
MATCH THE SYSTEM OF EQUATIONS ON THE LEFT WITH THE APPROPRIATE SOLUTION ON THE RIGHT
Answers
Answer:
Step-by-step explanation:
factorise
16x²y+8xy all divided by 32xy+16y
Answers
Answer:
3x^2+4x/16x+8
Step-by-step explanation:
6x²y+8xy/32xy+16y
Factor the top and bottom
2xy(3x+4)/16y(2x) -This is the most it can be factored but there is also another way (I'm not sure which one you're looking for)
The problem is that this is not simplified so in order to cancel things out the factored number should be the same.
2y(3x^2+4x)/2y(16x+8)
Cancel out 2y
3x^2+4x/16x+8
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answers
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
HELP: Find the length of an arc of a circle with a 10-cm radius associated with a central angle of 126 degrees. Give your answer in exact and approximate form to the nearest hundredth. (Show and explain your work)
THANK YOU!!
Answers
[tex]\it L_{arc}=\dfrac{2\pi R\cdot angle}{360^o}=\dfrac{2\pi\cdot10\cdot126^o}{360^o}=\dfrac{2520^o}{360^o}\cdot \pi=7\pi\approx7\cdot3,14 \Rightarrow\\ \\ \\ \Rightarrow\ L_{arc}\approx21,98\ cm\approx22\ cm[/tex]
make x the subject of the formula
show your working.
Answers
Answer:
[tex]x = \frac{3y-4}{y-1}[/tex]
Step-by-step explanation:
y(x-3) = (x-4)
yx -3y = (x-4)
yx - x = 3y -4
x(y-1)= 3y -4
[tex]x = \frac{3y-4}{y-1}[/tex]
Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x
Answers
Answer:
Baba
Step-by-step explanation:
Booey
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answers
Answer:
D
Step-by-step explanation:
we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.
area of base=1/2×6×8=24 mi²
volume=base area ×height
=24×8
=192 mi³
Answer:
D
Step-by-step explanation:
verify whether the point (2,5) lies on 2x -y+1=0 or not
Answers
Answer:
yes verified
Step-by-step explanation:
2x-y+1=0
substitute
2(2)-5+1=(0?)
4-5+1=0
yes
Write the equation of the line that passes through the points (-3, -3) and (8,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
Step-by-step explanation:
First you want to find the slope
y2-y1/x2-x1
7-(-3)/8-(-3)
Two negatives equal a positive. so Rewrite
7+3/8+3
10/11
Slope=10/11
To find the equation of the line..
y-y1=10/11(x-x1)
y-(-3)=10/11(x-(-3)
Again double negative, so rewrite
y+3=10/11(x+3)
y+3=10/11x+30/11
Subtract three from both sides to isolate 'y'
y+3-3=10/11x+30/11-3
y=10/11x+30/11-3
y=10/11x-3/11
