Answers
[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]
[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]
[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]
[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]
Answers:a = 3b = -7c = 2.5d = -2Hope it helps.
Do comment if you have any query.
Related Questions
Question.[Mathematics]
6³ + 6³ =
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex] = 432[/tex]
Step-by-step explanation:
[tex] {6}^{3} + {6}^{3} [/tex]
collect like terms[tex]2 \times {6}^{3} [/tex]
evaluate the power[tex]2 \times 216[/tex]
multiply the number[tex] = 432[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
36•6=216
6^3(6•6•6)=6•6=
36•6=216
216+216= 432
a man earn $6 in two hours. how much does he earn in 5 hours
Answers
Answer:
$15
Step-by-step explanation:
6 divided by 2 is 3
3 multiplied by 5 is 15
5x-4=9x+6 please put explanation
Answers
So: 5x-9x=6+4
2- add/ subtract the terms. So: -4x=10
3- divide both sides by -4 to find x
So: -4x/-4 =10/-4
The answer will be: x= -2.5
Find the range of the following group of numbers: 1, -8, -10, 11, 19
Answers
1,2
2,6
3,12
4, 20
Is the function Linear or Nonlinear, and explain why
Answers
Explanation:
The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.
However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.
Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).
What is Arithmetic ?
Answers
Answer:
Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Answer:
The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
Step-by-step explanation:
8x -2 + (4x - 1)(4x+1) = 0
Answers
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +
Answers
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.
d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1
phân tích đa thức x^3 - x thành phân tử
Answers
Answer:
1
Step-by-step explanation:
For each gallon of gas Sean puts in his truck, the truck will go $\frac{8}{3}$ miles. Suppose Sean's tank is empty, and he puts in $\frac{7}{5}$ gallons. How far can Sean go with his truck?
Answers
Answer:
56/15
Step-by-step explanation:
All we have to do is 8/3 x 7/5 and 8x7 is 56,5x3 is 15
So the answer is 56/15.
Answer:
56/15
Step-by-step explanation:
how to slove and answer 11r+60=16
Answers
Answer:
r= -11
Step-by-step explanation:
11r + 60=16
we can see that 11x r + 60 = 16
but thats the problem ! we don't know what r is so
lets get r on its own
11r + 60 =16
subtract 60 from each side
60 -60 =0
left side = 11r
16-60 = -44
right side = -44
11 r = -11
divide both sides by 11
11r divided by 11 = r
-44 divided by 11 = -11
r=-11
I answered your question so plz mark as brainliest!xxxx
Select the function that is odd.
A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)
Answers
HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!
Answers
Answer:
nahhhh why did you report me I did nun wrong
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPP!!!
Answers
Answer:
6 years
Step-by-step explanation:
5% of 1000 is 50
1. $1050
2. $1100
3. $1150
4. $1200
5. $1250
6. $1300
Please man, I need this answer as fast as possible. Thank You!!!!
Answers
Answer:
-5f
and
2g
Step-by-step explanation:
what is rt5 x rt3
yeah do that plz
Answers
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
Simplify 38 - 32
-
A. 34
B. 36
c. 310
D. 3-6
Answers
Answer:
38 - 32 = 6
Step-by-step explanation:
subtract the question
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answers
Answer:
6 cm
8 cm
10 cm
Step-by-step explanation:
3:4:5
3 + 4 + 5 = 12
total 12 parts
24cm / 12 = 2cm per part
3 * 2 = 6 cm
4 * 2 = 8 cm
5 * 2 = 10 cm
the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest
Answers
Answer:
23.08
Step-by-step explanation:
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answers
Answer:
5a^10
Step-by-step explanation:
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Answers
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
Megan spent half of her paycheck on an iPad. Over the weekend she earned $12 from babysitting. If she has $514.50 now. Write and equation and solve to find out how much was her paycheck
Answers
Explanation:
514.50 = -12 + 502.50(2)
She had twice as much money before buying the iPad. 514.5 - 12 = 502.5
502.5 is half of her paycheck, so multiply by 2.
i have to explained it in words pls help
Answers
9514 1404 393
Answer:
slope: cost per miley-intercept: fixed base costStep-by-step explanation:
The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.
When the number of miles driven is zero, the rental cost is ...
y = 2.25×0 +70
y = 70
The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.
__
If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answers
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15
Please help. Been stuck on this for days.
Answers
Answer:
At least 8.333 km/hr
Step-by-step explanation:
Using the inequality setup, we have
5/r + 1.25 + .75 + .9 ≤ 3.5
5/r ≤ .6
5 ≤ .6r
r ≥ 25/3 = 8.333
points (4, 3) and (0, 6) Mid point
Answers
Answer:
(3.5,3)
Step-by-step explanation:
Midpoint= (x¹+x²/2, y¹+y²/2)
x¹=4
x²=3
y¹=0
y²=6
Put your values into the formula
(4+3/2,0+6/2)
(7/2, 6/2)
(3.5,3)
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
Answers
the answer is 4 since 4 is common in all the three digits
B).4
Help me urgently i have to submit a t today
Answers
Answer:
6/5
Step-by-step explanation:
He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.
Find the perimeter. Simplify your answer.
Answers
Answer:
wild guess, 50
Step-by-step explanation:
10s+3+10s+3+3s+9+3s+9= 50
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
Answers
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg