The required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
Given expression,
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We have to find the Equivalent fraction of [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].
We know that from the properties of logarithm, the following identities
[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)
[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)
Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)
Again using 2 identity, we get
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)
[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]
Hence the required equivalent expression for [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].
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Answer:
C on edge
Step-by-step explanation:
Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]
Please help! I’m so confused.
Answer: M = 12.50
Step-by-step explanation:
Kameron wrote the following equation:
4x - (x - 3) = 18
Using the distributive property, what would her next step be?
Answer:
hope it helps you..........
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts
Answer:
number of adult shirts sold (a) = 20
number of youth shirts sold (b) = 10
Step-by-step explanation:
a = number of adult shirts sold
y = number of youth shirts sold
30 = a + y
$324.50 = 11.50a + 9.45y
This is the resulting system of equations from the given information in the problem.
Solve for y in the first equation and then substitute the equation for y into the second equation :
a+y=30 --> y=30-a
324.50 = 11.50a + 9.45(30-a)
Solve for a.
324.50 = 11.50a + 283.5 - 9.45a
41 = 2.05a
a = 20
Now that we have solved for a, we can back substitute into our equation for y and solve.
y=30-(20)
y = 10
CHECK:
(20)+(10) = 30 True
(11.50)(20) + (9.45)(10) = 324.5 True
Will give brainly,5 stars,and thank if it CORRECTLY PLEASE
Answer:
31.68
Step-by-step explanation:
1.4×9.15= 12.81
0.8×10.75= 8.6
2.6×3.95= 10.27
10.27+ 8.6+ 12.81= $31.68
Hope this helps!
Plz mark brainliest
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .
all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
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I WILL MARK BRAINLIST PLS!!! + explain
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
What does y represent in this scenario?
Question 5 options:
the cost of a hotdog
number of drinks purchased
number of hot dogs purchased
the cost of a drink
Answer:
the number of drinks purchased
Step-by-step explanation:
Answer:
2, the number of drinks purchased.
Step-by-step explanation:
one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.
select all values equal to -4/5
Answer:
C and E
Step-by-step explanation:
the position of the minus either up or down affects both the numerator and denominator.
but if both number have minus the minus cancels each other
Answer:
B, C, E
Step-by-step explanation:
A is -/- and therefore +
B is - -/- = -+ = -
C is -/+ = -
D is - -/+ = -- = +
E is +/- = -
What is the value of 24 + 32 - 52
emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.
Answer:
1/4 n - 3.
Hope this helps, sorry if it doesn't.
what is the following product 3 sqrt 4 times sqrt 3
Answer:
c on edge YW
Step-by-step explanation:
The value of ∛4 × √3 is 2.75 or [tex]\sqrt[6]{432}[/tex].
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given;
Expression,
product 3 sqrt 4 times sqrt 3.
In numerator form:
As per the given expression,
∛4 × √3
Simplifying,
∛4 × √3
= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]
= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]
= [tex]\sqrt[6]{16 + 27}[/tex]
= [tex]\sqrt[6]{432}[/tex]
= 2.749
= 2.75
Therefore, the product is 2.75 or [tex]\sqrt[6]{432}[/tex].
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i really need help... factor by the simplest form 46xy^5
Kimi and Jordan are each working during the summer to earn money in addition to
their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour
at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his
allowance is $16 each week.
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
Kimi
Earnings = $9 per hourWeekly allowance = $8So, the equation for Kimi's weekly earning is:
[tex]y =9x + 8[/tex]
Jordan
Earnings = $7 per hourWeekly allowance = $16So, the equation for Jordan's weekly earning is:
[tex]y = 7x + 16[/tex]
Equate both equations
[tex]7x + 16 = 9x + 8[/tex]
Collect like terms
[tex]9x - 7x = 16 - 8[/tex]
[tex]2x =8[/tex]
Divide both sides by 2
[tex]x =4[/tex]
Hence, their earnings would be the same after 4 hours
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antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake
Answer:
69
Step-by-step explanation:
150*(0.46) = 69 blueberry muffins
How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars
Answer:
24 mill
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I need help completing this question.
Answer:
9.73556* 10^34
Step-by-step explanation:
A day and a half is 36 hours ( 1 day is 24 hours)
1.5 days is 24 * 1.5 = 36 hours
P(t) = 300 ( 2) ^ 3t
t = 36
p(36) = 300 * 2^ (3*36)
= 300 * 2^108
=9.73556* 10^34
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?
Answer:
1: $92000 2: 52000 + 4000t= current salary
Step-by-step explanation:
1: simple arithmetic, 52000 + 4000(10)=92000
2: equation is formed as InitialSalary + 4000*(years at company) = New Salary
or with other variables, 52000+4000*t=N
Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
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Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
HEELPPP PPPPLSSSS AHHH
Answer:
3
Step-by-step explanation:
18/6=3
Which inequality is true when x = 4?
Answer:
x + 5 < 3
Step-by-step explanation:
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)
Answer:
A (2,-1)
B (-3,-2)
C (-2,1)
Step-by-step explanation:
A (-2,-1), B (3, - 2), and C (2,1)
Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.
A’ (2,-1), B’ (-3, -2), and C’ (-2,1)
Plz solve the problem.
Answer:
x = 7
Step-by-step explanation:
Evaluate the following expression if c = 8 and d = -5
3 * (c+d
Hi,
if c = 8 and d = -5:
3*(c + d) <=> 3*(8 + (-5))
= 3*(8 - 5)
= 3*3
= 9
✅^_^
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6
[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]