Answers
[tex]xy \\\\=\left(\log_{5\sqrt 5} ~125 \right)\left(\log_{2\sqrt 2} ~64 \right)\\\\=\left(\log_{5\sqrt 5} ~5^3 \right)\left(\log_{2\sqrt 2}~2^6 \right)\\\\=\left(3\log_{5\sqrt 5} ~5 \right)\left(6\log_{2\sqrt 2} ~2 \right)\\\\=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5\sqrt 5\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2 \sqrt 2 \right)}\right)\\\\[/tex]
[tex]=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5^{\tfrac 32}\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2^{\tfrac 32} \right)}\right)~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12}~~ \right]\\\\=\left( 18 \cdot \dfrac{\ln5}{\tfrac 32\ln5^} \cdot \dfrac{\ln 2}{\tfrac 32 \ln 2 }\right)\\\\\\=18 \cdot \dfrac 23 \cdot \dfrac 23 \\\\=\dfrac{72}9\\\\=8[/tex]
Related Questions
help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
Answers
f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts
similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)
The graphs of f(x) and g(x) are shown below:
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answers
Answer:
A. g(x)=(x+9)^2
Step-by-step explanation:
if it’s plus inside the parentheses it’s goes left and if it’s - it’s right
Hope this helps! ;-)
What is the total of the new purchases Jessica made during the month?
A.
$123.09
B.
$125.00
C.
$210.30
D.
$210.52
Answers
PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
Answers
Answer: The 4th option= -1, -3
Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4
Now we know that -4 is greater than -5.
Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.
Thanks.
The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.
Answers
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase
#81 will gove brainliest to best answer
Answers
To solve this problem, we need to factor both
⇒ numerator: [tex]x^2-4x+4[/tex]
⇒ denominator: [tex]x^2-4[/tex]
Let's factor:
⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]
⇒ [tex]x^2-4=(x+2)(x-2)[/tex]
Let's put it back into the fraction:
[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]
Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]
Answer:
[tex]\frac{x-2}{x+2}[/tex]
Step-by-step explanation:
First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].
Hope this helps! :)
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?
Answers
Answer:
Price of senior citizen ticket = $7
Price of student ticket = $5
Step-by-step explanation:
Let:
senior citizen ticket price = astudent ticket price = bEquations formed :
9a + 10b = 1132a + 10b = 64Subtract : Equation 1 - Equation 2
9a + 10b - 2a - 10b = 113 - 647a = 49a = 7Finding b
2(7) + 10b = 6410b = 50b = 5Solution
Price of senior citizen ticket = $7Price of student ticket = $5Answer:
Senior tickets would be 7 dollars
and
Student ticket prices would be 5 dollars
Step-by-step explanation:
Pleaseee help mee!!!
Answers
Answer:
down shift 90
Step-by-step explanation:
-90 will shift the graph down 90 units
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.
Answers
I chose B as an answer but I’m not sure
Answers
Answer:
hy the answer is C. a car maintained constant speed
Answer:
c.A car maintained constant speed
Step-by-step explanation:
according to the graph,velociry is always in a straight line over time.
so the velocity is constant
so A car maintaned constant speed
can someone please help me to work this out
Answers
Answer:
13.64 cm²
Step-by-step explanation:
Area of Trapezoid :
1/2 x (a + b) x ha and b = parallel side lengthsh = heightSolving :
1/2 x (5.2 + 3.6) x 3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²Answer:
13.64 square centimeters
Step-by-step explanation:
Hey there!
The formula to finding the area of a trapezoid is:
1/2 (p + q) h
Where h is the height, p is the shorter base and q is the longer base
In this case
p - 3.6
q - 5.2
h - 3.1
1/2 (3.6 + 5.2) 3.1
1/2 (8.8) 3.1
(4.4) 3.1 --> 4.4 x 3.1
13.64
So, the area of this trapezoid is 13.64 square centimeters
You roll a number cube twenty times and it lands on a 3 five times. What is the
experimental probability that it ends on a 3 the next time you roll?
Answers
Answer:
Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16
Step-by-step explanation:
Which triangle congurence theorem proves that ABD ≈ CBD?
AAS
SAS
HL
CPCTC
Answers
Answer:
AAS
Step-by-step explanation:
the ansewer
7
——
math
math geniuses pls help!!!
——
pls check other questions as well thanks,!
Answers
Answer:
The time spent by a physician with a patient
Step-by-step explanation:
Option C is the answer
The store opened at 8:15 a.m. and closed at 11:45 p.m. how long was the store opened?
Answers
Answer:
3 hours and 30 minutes
Step-by-step explanation:
8:15+3=11:15
11:15+30=11:45
Answer:
15 hr 30 min
Step-by-step explanation:
8:15 - 9 am = 45 min
9 am to 11 pm = 14 hours
11pm - 11:45 pm = 45 min
90 min = 1 hr 30 min
14 hr + 1 hr 30 min = 15 hr 30 min
Suppose you buy 3 pizzas for a party. Each pizza is cut into 8slices. Twenty slices are eaten. How many pizzas
were eaten?
Answers
Answer:
2 and a half pizzas were eaten
Step-by-step explanation:
3 pizzas divided into 8 slices is equal to 24 slices. So if 20 slices were eaten, we can do simple math to solve this
There are two ways to do this:
A. divide 20 by 8 to get 2.5
B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten
what is the solution for x? 6(x+4)=3x-2
Answers
Step-by-Step Explanation:
= 6(x + 4) = 3x - 2
= 6 * x + 6 * 4 = 3x - 2
= 6x + 24 = 3x - 2
= 6x - 3x + 24 = -2
= 6x - 3x = -2 - 24
= 3x = -26
= x = -26/3
Therefore, x = -26/3
Solve this problem and get 15 points
Answers
d. 32.6°
explanation:
tan(×)= 0.6396
tan(x)= 0.6396/1000
tan(×)= 1599/2500
(×)= arctan (1599/2500)
(×)≈ 0.569029 or 32.6°
Watch help video
Find an expression which represents the sum of (x – 2y) and (-10x + 6y) in
simplest terms.
+
a
Answers
Answer:
-9x + 4y
Step-by-step explanation:
Adding expressions:
Like terms have same variable with same power.Combine like terms.
Here, x and (-10x) are like terms &
(-2y) and 6y are like terms
x - 2y + (-10x + 6y) = x - 2y - 10x + 6y
= x - 10x - 2y + 6y
= -9x + 4y
Find the product and simplify. (3c-5) ^2
Answers
Answer:
9c² -30c + 25
Step-by-step explanation:
Perfect square trinomial: (a - b)² = a² - 2ab + b²
(3c - 5)²
(3c)² -2(3c * 5) + 5²
9c² -2(15c) + 5²
9c² -30c + 25
Final answer: 9c² -30c + 25
Hope this helps!
Hi!
Given:
[tex](3c-5)^2[/tex]
As this is squared, we are simply multiplying the given expression by itself, like so:
[tex](3c-5)(3c-5)[/tex]
Now, we can use the Distributive Property to solve, using the FOIL Method:
[tex](3c-5)(3c-5)[/tex]
[tex]9c^2-15c-15c+25[/tex]
Combine like terms:
[tex]9c^2-30c+25[/tex]
For a similar problem, see:
https://brainly.com/question/15639394
I need help me with math homework please .?
Answers
[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]
y= mx+b
[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]
Answer:
y = 1/5x + 3
Step-by-step explanation:
There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?
Just a fun problem for you :D
P.S. Answer it correctly ;)
Answers
Answer:
This was a nice way to spend my time :) how'd I do?
Step-by-step explanation:
Total: 6
1. +8
After stop 1, total is 14 people
2. +4, -2
After stop 2, total is 16 people
3. +15, -4
After stop 3, the total is 27 people
4. -8
Total # of people on the bus: 19
(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)
Susan, Frank, and Dan sent a total of 83 text messages over their cell phones during the weekend. Susan sent 7 more messages than Frank. Dan sent 4 times
as many messages as Susan. How many messages did they each send?
Number of text messages Susan sent:
Number of text messages Frank sent:
Number of text messages Dan sent:
Answers
Step-by-step explanation:
Susan message=34.66
Frank message=27.6
Dan message=28
PLEASE HELP GIVING BRAINLIST!!!!! What is the perimeter of the shape below?
Answers
Area of the rectangle
LB92(40)3680ft²Area of trapezoid
1/2(sum of parallel sides)(Height)1/2(5+92)(40-5)1/2(97)(35)3395/21697.5ft²Total
3680-1697.51982.5ft²The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie
Answers
Answer:
6.28
Step-by-step explanation:
2×3.14 because this is just simple multiple
DUE SOON PLEASE HELP
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is NOT red, replace it, then
randomly select a marble that is yellow?
.
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%.
9%
26%
4%
61%
Answers
Answer:
9% sry if im wrong
Step-by-step explanation:
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is not red, replace it, then
randomly select a marble that is yellow?
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%
What is the value of x in this figure?
O x=85
O x= 90
O x= 95
Answers
35° + 60° + x° = 180°
95° + x° = 180°
x° = 180° - 95°
x° = 85°
In any triangle, the sum of its interior angles measures 180º.
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Answers
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
Find the median and mean of the data set below:
3,40,15,28
3,40,15,28
Answers
Answer:
21.5
Step-by-step explanation:
Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5
Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5
A cube of side 3cm contains a sphere within it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere
Answers
Answer:
6.86cm^3
Step-by-step explanation:
In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.
Volume of a cube is S^3
using the given 3×3×3= 27cm^3 volume of cube
volume of a sphere is 4/3 pir^3
4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere
now simply subtract
27-14.14= 6.86 cm^3