Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared? 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 16 2 log Subscript 5 Baseline x 2 log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4.
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:
how do i solve use the GCF and the distributive property to express a sum as a product 52 +20+36
Answer: just add them all up add 50+20+36 then you get 106
Step-by-step explan
Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
1.(−9)÷ ?=5
2.?÷(−2)=−6.41
(1 x 3)+ (7 x 3) as a product of 2 factors
Answer:
3 + 21 = 24 and they are the product to the factors of 63
Step-by-step explanation:
how to do theoretical probability on calculator
Answer:
below!
Step-by-step explanation:
Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense
two angles of a triangle are 5x+20 and 2x+30 find the third angles
Answer:
Third angle is [tex]130-7x[/tex]
Step-by-step explanation:
We have sum of angles is [tex]180^{0}[/tex]
Let the third angle be [tex]y[/tex]
Hence
[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]
Third angle is [tex]130-7x[/tex]
Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be
Answer:
Step-by-step explanation:
First we need to find 20% of their bill-$40.
So we write a proportion with fractions.
20/100 = x/40
Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:
800 = 100x
Divide both sides by 100 to solve this.
Then we will get:
$8 = x or x = $8
Now that we know 20% of the bill this will also represent the tip. Our tip is $8.
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
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Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2
Answer:
• y = -6x-5
Step-by-step explanation:
=4x+5y=-10
20x - 25y = 50
8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
First of all, we should add 34 and 32:
34+32=66
Now, let's divide both sides by 9:
66÷9=7.3333...
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]
please i need help finishing this last question or i might get in trouble.
Solve.
w−(−23)=1.06
Enter your answer as a fraction in simplest form in the box.
w =
59/150
How?
w= 59/150
59/150 and -2/3 have to have the same denominators.
So, what I did was, -2/3×50= -100/150.
(Process of a new equation)
59/150-(-100/150)
[The two - signs cross each other out, making it a + ]
59/150+100/150 <- New Equation
__________________________________
59/150+100/150= 159/150
159/150= 1 9/150
9÷150=0.06
1+0.06= 1.06
(PROOF ABOVE)
Answer
add 1.06 = 1 3/50 = 1 3/50 + (-2/3) = 59/150
Step-by-step explanation:
Graph the following equation.
x+2y>-6
Answer:
im not to sure i think it is 45
Step-by-step explanation:
your welcome
Answer:
-2y=6-x
y=0.5x-3
x=0
y=0.5*0-3=-3
(0;-3)
y=0
0=0.5x-3
0.5x=3
x=3/0.5=6
(6;0)
Solve for x:
1 - 8(x - 8) = 17
Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.
Answer:
(0,5)x3=(15,5)
Step-by-step explanation:
what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)
Answer:
[tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{6}{8} *\frac{5}{1}[/tex]
[tex]\frac{30}{8}[/tex] multiply across
[tex]\frac{15}{4}[/tex] simplify and convert into mixed number
[tex]3\frac{3}{4}[/tex]
Write an equation for the perimeter of the rectangle
Answer:
Area = 2(5x - 4) + 2(5x)
Step-by-step explanation:
Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.
What is the slope of the line that passes through the points (-5, -5 ?(−5,5)?
Answer:
undefined
Step-by-step explanation:
I'm assuming the points are (-5,-5) and (-5,5)
The formula to do slope is: (y2-y1)/x2-x1)
2 points: (x1, y1) (x2, y2)
So then:
(5-(-5))/(-5-(-5))=10/0
This shows that the line is vertical, which means that slope is undefined.
Answer:5/65/6
The slope of the line passing through the point (5,5) is 5/6.
Step-by-step explanation:
Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize?
Answer:
Ignorance and Want
Step-by-step explanation:
Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps
Answer:
The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.
4(2v+6)=[?]v+[ ]
what is the questionmark
Answer: 8v+24
Step-by-step explanation:
[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]
original price: $2.00
discount: 31%
tax: 3%
Answer:
is this a questions or no?
Step-by-step explanation:
List all congruent angles and write a proportion that relates the corresponding side
Proportion of corresponding side is FH/JH = HG/HK = FG/JK.
What are congruent triangles?Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.
Given triangles are similar ΔFGH ∼ ΔJKH
We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.
so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK
and proportion of corresponding side is FH/JH = HG/HK = FG/JK.
Hence the proportion that relates the corresponding side are FH/JH = HG/HK = FG/JK.
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A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation:
Pls help trig question!!
[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]
[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]
Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height
Answer:
[tex] \frac{r}{4} - 5[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The expression till now
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]
But we need the expression for five less than the quotient
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]
ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,
BC=5 cm. Find AB and XZ. (No links pls...)
Answer:
See belowStep-by-step explanation:
Since B is the right angle, AC is the opposite side - hypotenuse.
Use Pythagorean and find the missing side, AB:
[tex]AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm[/tex]There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.
If the scale factor was given as k, then XZ would be:
XZ = k*BC = 5kPLEASE HELP WILL MARK BRAINLIEST
Answer: (2, -15)
Step-by-step explanation:
3a-1 over 8=a+9 over 4
Answer:
1800 stanley steamer
Step-by-step explanation:
Anna is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $210. If Anna worked 12 hours clearing tables, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.
Step-by-step explanation: