Answer:
x³/4z²
Step-by-step explanation:
Invert and multiply:
48x^5y²/12z^5 x z³/16x²y²=
(48x^5y²)(z³)/(16x²y²)(12z^5)
the y² cancel out
48÷16=3 (on top)
x^5÷x²=x³
12z^5/z³=z²(on bottom)
This leaves a 3x³ on top and 12z² on the bottom. 3÷12=4 (on bottom):
3x³/12z²
x³/4z²
15
x
23
find value of x that makes equation true
Answer:
345
Step-by-step explanation:
Slope intercept from 2x+2y=10
y=x-5
Thatll be one brainliest
Please help ASAP!!!!!!!
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minutes you can talk for $2.00 or less.
Answer:
Step-by-step explanation
$20 but im not for sure so if im wrong im sorry
I need to know the area!!!
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
pls help me with this asap!!
19.20 you have to do a squared times b squared and the square root them and there's your answer
The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.
a. What was the population of the state in 2000?
b. When will the population of the state reach 28.3 million?
a. In 2000, the population of the state was__million.
b. The population of the state will reach 28.3 million in ___.
Answer:
- The population in 2001 is 23.1 million
- It will reach 28.3 million in 2013
Step-by-step explanation:
Given
[tex]A =23.1e^{0.0152t}[/tex]
Solving (a): Population in 2000.
This implies that
[tex]t = 2000 - 2000[/tex]
[tex]t = 0[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]A =23.1e^{0.0152*0}[/tex]
[tex]A =23.1e^{0}[/tex]
Solve the exponent
[tex]A =23.1*1[/tex]
[tex]A =23.1[/tex]
The population in 2001 is 23.1 million
Solving (b): When will it reach 28.3 million
This implies that:
[tex]A =28.3[/tex]
So, we have:
[tex]A =23.1e^{0.0152t}[/tex]
[tex]28.3 = 23.1e^{0.0152t}[/tex]
Divide both sides by 23.1
[tex]1.225 = e^{0.0152t}[/tex]
Take natural logarithm of both sides
[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]
Rewrite as:
[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]
[tex]ln(e) = 1[/tex]
So:
[tex]ln\ 1.225 = 0.0152t*1[/tex]
[tex]ln\ 1.225 = 0.0152t[/tex]
Make t the subject
[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]
[tex]t = \frac{0.2029}{0.0152}[/tex]
[tex]t \approx 13[/tex]
Add the value of t to 2013 to get the actual year
[tex]Year = 2000 +13[/tex]
[tex]Year = 2013[/tex]
It will reach 28.3 million in 2013
in how man ways can you arrange 12 books in a shelf
A:479,001,160
B:479,000,600
C:479,100,600
D:479,001,600
Describe the y-intercept and end behavior of the following graph
Answer:
B
Step-by-step explanation:
A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 3 years
Answer:
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
Step-by-step explanation:
The amount is given by
[tex]V = Pe^{rt}[/tex]
Given P = $6520
r = 2.5%
t = 3 years
Substituting the given values, we get -
[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]
The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate . Use z-table.
What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
Step-by-step explanation:
Sol
Given that ,
mean =300
standard deviation =a =70
n=100
ux=128
a ) within 6 =300 +/-6 : 294, 306
P(294' ' 306)
: P(-0.86 : Z ' 0.86)
: P(Z ' 0.86) - P(Z ' -0.86)
Using z table,
: 0.8051-0.1949
: 0.6102
Probability : 0.6102
a ) within 18 =300 18 : 294, 318
P(294' ' 306)
: P(Z ' 2.57) - P(Z ' -2.57)
Using z table,
:0.9949-0.0051
:0.9898
Probability =0.9898
Mae has 36/4 inches of red yard to use for hair on dolls she is making. She uses 9/2 ounces for each doll. How many dolls can have red hair
Answer: 2 dolls
Step-by-step explanation: got it right
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•
What is the solution to the equation e^3x - 127 Round your answer to the nearest hundredth.
OX=0.83
OX= 1.09
OX= 2.48
OX= 7.44
Answer:
The solution is [tex]x = 0.83[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]e^{3x} = 12[/tex]
To isolate x, we apply ln, which is the inverse of the exponential. So
[tex]\ln{e^{3x}} = \ln{12}[/tex]
[tex]3x = \ln{12}[/tex]
[tex]x = \frac{\ln{12}}{3}[/tex]
Using a calculator:
[tex]x = 0.83[/tex]
The solution is [tex]x = 0.83[/tex]
solve for y if 12-3y<6
Answer:
y=3
Step-by-step explanation:
12-3(3)<6
12-9<6
3<6
This makes the expression true so y=3
Answer:
y > 2
Step-by-step explanation:
isolate the y:
=> -3y < 6 -12
=> -3y < -6
=> y > 2
↑ have to change the inequality sign when divide/multiply by a negative number
A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?
Answer:
15
Step-by-step explanation:
the answer is 15. 12×15=180
Solve this question for brainlest. This is due at 6 pm
Answer:
2/5
Step-by-step explanation:
multiply length and width then divide the volume by the product of length times width
3/4 x 1/2 then divide 15/16
There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions
Answer:
10
Step-by-step explanation:
5 + 5
A pair of shoes cost $25. This is $14 less than the cost of a pair of Jeans. Find the cost of the jeans.
25=j-14
Answer:
j = 11
Step-by-step explanation:
$25 - $14 = 11
What is the area? Help meeeeee pls
Simplify. Please help me! (Exponents.) Picture added.
Answer:
it would be the last one i meant
Step-by-step explanation:
What value of x is a solution to this equation?
-5x - 10x = -60
Answer:
0.25
Step-by-step explanation:
-5x - 10x = -15x
-15x = -60
x = 0.25
Answer: x=-4
Step-by-step explanation:
find the greatest four digits number which is divisible by 12, 18 and 30
Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
Help ASAP please (no links otherwise I will report)
Please help :)
And explain how
Find the value of 5x + 3y when x = 6 and y = 7
Answer:
Answer is 51
Step-by-step explanation:
5(6) + 3(7)
30 + 21
51
Answer:
first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51
Step-by-step explanation:
5x+3y
5(6)+3(7)
30+21
51
hope this helps
help meee plssssssssss
Answer:
There is four boxes I answered this in order
1st box: 3
2nd Box: 7
3rd box: 15
4th box : 19
5th box ; 16
Step-by-step explanation:
This is simple
Evaluate (−2)(−3)(−4)(−1)(−2)
Answer:
-48
Step-by-step explanation:
(-2)(-3)(-4)(-1)(-2)
(6)(-4)(-1)(-2)
(-24)(-1)(-2)
(24)(-2)
(-48)
How to solve this question?
Answer:
-11.
Step-by-step explanation:
f(x) = √(3 - 2x), x ≤ 3/2
let y = √(3 - 2x)
y^2 = 3 - 2x
2x = 3 - y^2
x = (3 - y^2)/2
So f-1(x) = (3 - x^2)/2
f-1(x) = (3 - 5^2) / 2 = -11.
20 POINTS! Determine if the two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ILL REPORT.
Answer: HL
Step-by-step explanation:
The shared side is congruent, meaning the triangles are congruent by HL.