Answers
Answer:
[tex]1.75+0.25log_{10}a[/tex]Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]Related Questions
help me with this problem thank youuup.
Answers
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
3a-28-7a+10a
Someone PLEASE HELP
Answers
Answer:
6a - 28
Step-by-step explanation:
combine like terms
3a - 28 - 7a + 10a
3a - 7a + 10a = 6a
have a lovely day :)
Answer:
Step-by-step explanation:
the steps are on the pic
symbolab
tiger-algebra
and
geteasysolution
aregoof for math
someone please help me
Answers
Pls help me with this, tyyy!
Answers
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped
Please help. I just don’t feel like doing it rn
Answers
Answer:
mm
Step-by-step explanation:
You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?
Answers
Answer:
It would take 20 chores.
Step-by-step explanation:
1 chore = $5
=> 1 x 20 = $100
=> 20 chores = $100
Therefore, it would require me 20 chores to save $100 and buy that Lego set.
Hoped this helped.
can i have help please
Answers
If you want it completely simplified, then it’s the following:
(y + 1)(y + 1)(y + 1)
= y^2 + y + y + 1 (y + 1)
= y^2 + 2y + 1 (y + 1)
= y^3 + y^2 + 2y^2 + 2y + y + 1
= y^3 + 3y^2 + 3y + 1
What are the domain and range of f(x) = (one-sixth) Superscript x + 2?
domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}
Answers
The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}
Given the exponential function expressed as;
[tex]f(x)=(\frac{1}{6})^x + 2[/tex]
The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".
Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}Learn more here: https://brainly.com/question/24041834
Answer:
The answer is C on edge
Step-by-step explanation:
A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup
Answers
Answer:
12 cups
Step-by-step explanation:
There are 48 hours in two days.
48 · 2 = 96 ( 2 being fluid ounces per hour )
96 ÷ 8 = 12 ( 8 being fl oz in each cup )
I hope that this helped!!!
Determine the error(s) in the problem below and use mathematical language
from module 2 to explain and answer correctly.
Answers
Step-by-step explanation:
error is in ∆ABC =~ ∆RST
because it is,
∆ABC =~ ∆RTS or ∆STR
because,
AB = RT
BC = TS
CA = SR
hope this answer helps you dear! take care.
The error is in labelling the triangles.
What are triangles?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.
Given are two ABC and RST
Since, Δ ABC ≅ Δ RST
That gives,
AB = RS
BC = TS
CA = RT
In figure,
AC has been equated to RS, which is wrong or incorrect because the corresponding side of AC is RT
The correct labelling will be
AB = RS = 5
BC = TS = 5
CA = RT = 5.5
Hence, The error is in labelling the triangles.
For more references on triangles, click;
https://brainly.com/question/2773823
#SPJ2
During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?
Answers
600/6 = 100
100 in each small group.
Help me with math!!!!
Answers
Answer:
-4
Step-by-step explanation:
so t is greater than -5, and for negatives, you need to get nearer zero.
Yes or No
Please answer
Answers
good luck
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answers
Answer:
bbc
Step-by-step explanation:
Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?
Answers
Step by step explanation:
%7 of 899 is 62.93.
889 + 62.93 = 951.93
Hope this helps!! :)
Answer:
$961.93
Step-by-step explanation:
7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.
pls help me out
4x - 10 = -6
Answers
Answer: x = 1
Step-by-step explanation:
Answer:
The value of x is 1
Step-by-step explanation:
4x - 10 = -6
Use APE or Additive Property of Equality
4x = 10 - 6
4x = 4
Use DPE or Division Property of Equality
4x/4 = 4/4
x = 1
Substitute it to the equation to check
4x - 10 = -6
4(1) - 10 = -6
4 - 10 = -6
-6 = -6
Solve for j.
2 − 2j = 14
j =
Answers
Answer:
-6
Step-by-step explanation:
i hope this helps
Answer:
j=6
Step-by-step explanation:
How to find the equation of a line.
Answers
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.
A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answers
Answer:
$843.36
Step-by-step explanation:
:))
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answers
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
One number is 3 times another. If the difference between the numbers is 14, what is the larger number?
Answers
Answer:
21
Step-by-step explanation:
One number is 3 times another
x and 3x
difference between the numbers is 14,
3x - x = 14
simplify
2x = 14
Divide both sides by 2
x = 7
3x = 21
Answer:
The larger number is 21.
Step-by-step explanation:
let, the smaller number be x.
the larger number be 3*x =3x.
Now,
3x-x=14
or, 2x=14
or, x=14/2
x=7
here,
3x=3*x=3*7=21
GEOMETRY PROOFS!
Given: RA≅RE; EC≅AC
Prove: REC ≅ RAC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Answers
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
Additional comment:-
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
also read similar questions: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..
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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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Is the following number rational or irrational?
-0.32
Choose 1 answer:
Rational
B
Irrational
Answers
Evaluate (25/36)^1/2
A 25/6
B 5/6
C 5/36
D 25/36
Answers
5/6 its doneeeeeeèeeeeee
The Cougars, a football team, must gain 10 yards in the next four plays to keep possession of
the ball. The Cougars gain 5 yards, lose 12 yards, gain 14 yards, and finally lose 8 yards. Do
the Cougars keep possession of the ball?
Answers
Answer:
No
Step-by-step explanation:
Gain 5= 5 to go
Lose 12= 7 to go
Gain 14= 7 to go
Lose 8=15 to go
Someone plz help me I don’t understand and plz explain :(
Answers
Answer:B.27
Step-by-step explanation:
If right please mark as brainly
A 9-ounce can of peaches sells for $1.26. Find the unit price.
Answers
Answer:
0.14 per ounce
Step-by-step explanation:
1.26 ÷ 9= 0.14
Hope this helps! :)
The unit price of peach would be $0.14.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 9-ounce can of peaches sells for $1.26.
9-ounce can of peaches sells for $1.26.
Then -
1 ounce of peach will cost = (1.26/9) = $0.14
Therefore, the unit price of peach would be $0.14.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Complete the inequality statement.
1 1/2 ft ___ 16 in.
A. >
B. <
C. =
Answers
Answer:
a.>
Step-by-step explanation:
because :-
11/2 ft= 5.5 ft
5.5ft =66 in so 66in>16in
Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).
Answers
(-13, -6), (7, 15) = 1.05
Equation: y = 1.05x + 7.65.
The entered points belong to an increasing, linear function.
Answer:
m = rise / run = 21/20, or m = 1.05
Step-by-step explanation:
If the lines are parallel, their slopes are identical. So we can find the slope of line 1 and know that it's also the slope of line 2.
From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7. Thus, the "run" in m = rise / run is 20. Likewise, the "rise" is 21.
Thus the slope in question is m = rise / run = 21/20
EASY POINTS
2+2=?
4+4=?
6+6=?
Answers
Answer:
Below
Step-by-step explanation:
2+2 = 4
4+4= 8
6+6=12