Answer: log4=0.60206 log15=1,17579
Step-by-step explanation:
[tex]log4=\\log2^2=\\2log2=\\2(0.30103)=\\0.60206\\\\log15=\\log(3*5)=\\log3+log5=\\0.47712+0.69897=\\1.17579[/tex]
how can we multiply 2 equations
Answer:
Given equations:
a = x + yb = x - yTo multiply 1 and 2;
[tex]{ \tt{a \times b = (x + y)(x - y)}} \\ = { \tt{(x.x) + (x. - y) + (y.x) + (y. - y)}} \\ = { \tt{ {x}^{2} - xy + xy - {y}^{2} }} \\ = { \tt{ {x}^{2} - {y}^{2} }}[/tex]
How many liters each of a 10 % acid solution and a 40 % acid solution must be used to produce 60 liters of a 35 % acid solution? (Round to two decimal places if
necessary.)
Hence , 10 liters of a 10% acid solution and 50 liters of a 40% acid solution must be used.
System of Equations: Setting up a system of equations containing the 2 unknown values, the substitution technique is also accustomed acquire associate degree equation with just one of the unknowns. The ensuing equation could then be resolved to search out the worth of the remaining unknown. From here, the second worth is also obtained by subbing the primary worth back to at least one of the equations.Let the amount of 10 % acid solution be " x " and the amount 40 % acid solution be " y " .
The total volume of the resulting solution is 60 L which can be given by
x + y = 60 .....(1)
The total acid in the resulting solution is 35 % acid solution which is given by 0.10 x + 0.40 y = 0.35(60) .....(2)
Multiplying by 100 in equation (2) , we get
10 x + 40 y = 2100 .....(3)
Putting x = 60 - y in equation (3) , we get
10 ( 60 - y ) + 40 y = 2100
600 - 10y + 40y = 2100
30y = 1500
y = 50
Putting y = 50 equation (1) , we get
x = 60 - 50 = 10
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Students planted 360 tree saplings. which is 12% of the planned amount. How many seedlings are planned to be planted?
How much 8% saline solution should Kent mix with 60 cubic centimeters (cc) of an 18% saline solution to produce an 11% saline solution?
cubic centimeters of an 8% saline solution is needed.
X
5
Based on the concentration of the saline solution and the cubic centimeters of the saline solution, the amount that should be mixed is 140 cubic centimeters
How to find out the cubic centimeters for mixing?Assuming that the quantity of the saline solution that Kent should mix is denoted by x, the formula would be:
0.08x + (0.18 x 60) = 0.11 (x + 60)
Solving gives:
0.08x + 10.8 = 0.11x + 6.6
10.8 - 6.6 = 0.11x - 0.08x
4.2 = 0.03x
x = 4.2 / 0.03
x = 140 cubic centimeters
In conclusion, 140 cubic centimeters of the saline solution is needed.
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Find the measurement of the angle indicated for each trapezoid.
Answer:
∠ C = 50°
Step-by-step explanation:
• each lower base angle is supplementary to the upper base angle on the same side.
then
∠ C + ∠ D = 180°
∠ C + 130° = 180° ( subtract 130° from both sides )
∠ C = 50°
Piano lessons with Ms. Bell cost $30 for
3/4
of an hour. What is Ms. Bell's hourly rate?
Answer:
$40
Step-By-Step Explanation:
Prove that:
A-(A-B)⊆B
Jack works in a bookstore. He has 300 books to stock on the shelves. So far, he has stocked 120 books today. What percent of the books does he have left to stock?
A. 30%
B. 40%
C. 50%
D. 60%
Answer:Jack has 60% of the books left to stack.
Step-by-step explanation:
Answer:
Step-by-step explanation:
60% (300-120) 180/300*100=60. 60%
Can someone help me with this problem!
The probability that a randomly selected person from the survey plays pokemon go who belongs to the Age group 26 - 35 is 0.33.
We have the table for the survey,
Age 18 - 25 Age 26 - 35 Total
Plays Pokemon Go 17 39 56
Does not play Pokemon Go 37 25 62
Total 54 64 118
From the table,
We have,
The number of people in the age group 18 - 25 who play pokemon go is 17.
The number of people in the age group 18 - 25 who play don't pokemon go is 37.
The number of people in the age group 26 - 35 who play pokemon go is 39.
The number of people in the age group 26 - 35 who don't play pokemon go is 25.
The total number of people participated in the survey are 17 + 39 + 37 + 25 = 118
The total number of people in the Age group 18 - 25 is 54.
The total number of people in the Age group 26 - 35 is 64.
The total number of people that play pokemon go is 56.
The total number of people who do not play pokemon go is 62.
Now,
The probability of choosing a random person from the survey from the age group 26 - 35 who plays pokemon go will be:
= ( no. of people of age group 26 - 35 that play pokemon go) / total no. of people in the survey.
= 39/ 118
= 0.33
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Two students start a club the first week of school. Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week. If the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks?
80 students
121 students
242 students
363 students
In linear equation ,242 total number of members within 5 weeks.
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
old new
1: 1
2: 1 x 3 = 3 ⇒ 1 3 *only new members recruit 3 more
3: 3 x 3 = 9 ⇒ 4 9
4: 9 x 3 = 27⇒ 13 27
5: 27 x 3 = 81 ⇒ 40 81
40 + 81 = 121. Total number of members under 1 founding member.
121 x 2 founding members = 242 total number of members within 5 weeks.
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Answer: Option C
Step-by-step explanation:
Tell me did I choose all of the right equations
Is 0.6294 terminating or repeating
Answer:
This is terminating. As a fraction it would be: [tex]\frac{6294}{10000}[/tex] not simplified
Step-by-step explanation:
If it was repeating you would see a repeat bar over part of the number. Or 3 .... showing that the number goes on.
The square in the middle has an area of 1 square unit. What is the area of the entire
rectangle in square units? Explain your reasoning.
HELP IM TIMED ILL MAKE AS BRAINLIEST
Answer: 26
Step-by-step explanation: 208/8=26
Round this number to the
nearest tenth.
6.3579
Answer: 6.4 :)
Step-by-step explanation:
6.358
Step-by-step explanation:
To round a number to the nearest tenth, look at the hundredth number .If that number is greater than 5,add 1 to the tenth value.If is less than 5 , leave the tenth place value as it is, and remove all the numbers present after the tenth's place.
Which of the following is true of the composition G(F(y))?
The correct option is D.The function F(G(H(y))) depends on G(H(y)).
What is defined as the composite functions?The method by which two or even more functions into one function is identified as function composition.f(g(x)) or (f °g) represents this same composition of functions f(x) as well as g(x), where g(x) acts first (x). It integrates a number of functions to produce another. The output of one function inside the parenthesis is becoming the input of the other function in a function composition.For the given question-
A function is defined by its argument (values in parentheses after a function name). G(H(x)) is the argument of function F in F(G(H(x))).
F(G(H(x)) is dependent on G(H(x)).
Answers A and C make no statements about the particular composition. Answer option B depicts a composition (H(G(x)) that is unrelated to the argument of function F.
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The complete question is-
Which of the following is true of the composition F(G(HyX)))?
A. The function G(F(H(y))) depends on G(H(y)).
B. The function F(G(H(y))) depends on H(G(y)).
C. The function H(G(F(y))) depends on G(F(y)).
D.The function F(G(H(y))) depends on G(H(y)).
Help am i correct? I need help please give explanation
====================================================
Reason:
Focus on the numerator for now. The [tex](11^8)^2[/tex] is the same as [tex]11^{16}[/tex] because we multiply the exponents. The general rule is [tex](a^b)^c = a^{bc}[/tex]
Alternatively we can think of it like this
[tex](11^8)^2 = (11^8)(11^8) = 11^{8+8} = 11^{16}[/tex]
So far we have [tex]\frac{(11^8)^2}{11^3} = \frac{11^{16}}{11^3}[/tex]
------------
The last step is to subtract exponents due to the rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex] and the order of subtraction is important.
Therefore, [tex]\frac{(11^8)^2}{11^3} = \frac{11^{16}}{11^3} = 11^{16-3} = 11^{13}[/tex]
Michael and Lauren each have a coin collection.
The number of coins in Michael's collection can be represented by x.
The number of coins in Lauren's collection is 5 times the number in Michael's collection.
The total number of coins in both collections is 366.
What is x, the number of coins in Michael's collection?
If the number of coins in Lauren's collection is 5 times the number in Michael's collection and the total number of coins in both collection is 366, then the number of coins in Michael's collection is 61
The number of coins in Michael's collection = x
The number of coins in Lauren's collection is 5 times the number in Michael's collection
Then the number of coins in Lauren's collection = 5x
The total number of coins in both collection = 366
Combine the values and the equation will be
x+5x=366
Add like terms
6x= 366
x=[tex]\frac{366}{6}[/tex]
x=61
Hence, if the number of coins in Lauren's collection is 5 times the number in Michael's collection and the total number of coins in both collection is 366, then the number of coins in Michael's collection is 61
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help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee !!
Answer:
21, -4, 5
Step-by-step explanation:
In the function we are changing x into -5 :
So :
(-5)² - 4
25 - 4 = 21
f(0) will be :
0² - 4
0 - 4 = -4
f(3) will be :
(3)² - 4
9 - 4 = 5
Hope this helped and have a good day
Y=(X-3)^2 from the parent function y=x^2
The parent function will shift the right side by 3 units after applying the transformation x → (x - 3).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The parent function is:
y = x²
After applying the transformation:
x → (x - 3)
The function will shift the right side by 3 units.
The equation of the function will be:
y = (x - 3)²
Thus, the parent function will shift the right side by 3 units after applying the transformation x → (x - 3).
The complete question is:
Describe the Transformation y=(x - 3)² if the parent function is y = x²
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Can anyone help me with this?
Answer: y=40x
Step-by-step explanation:
Mrs Peh paid $1438 for 1 drum set and 1 keyboard. Tim paid $690 for 1 flute
and 1 keyboard. The drum set cost thrice as much as the flute. How much would
1 drum set and 1 flute cost?
Answer:
flute=374, drum=1122, keyboard=316
six million, ninety-six thousand, sixty-one
in standard notation
Rewrite (132 + 228) using factoring.
4(32 + 57)
6(22 + 222)
4(33 + 57)
16(116 + 14)
Answer:
can u help me with my homework
Answer:
Farmers are the backbone of our society. They are the ones who provide us all the food that we eat. As a result, the entire population of the country depends upon farmers. Be it the smallest or the largest country. Because of them only we are able to live on the planet. Thus Farmers are the most important people in the world. Though farmers have so much importance still they do not have proper living.
BROS HELPPP Oh my god I NEED HELPP
Answer:
Ok, so all you have to do, is substitute the numbers in for x.
Step-by-step explanation:
For example substitute -3 in for x and solve. I hope this helps some!
Find the intersection of the two lines by solving the system of equations.
x + y = -8
-x + y = -2
Answer:
(-3, -5)
Step-by-step explanation:
Adding the equations, we get 2y = -10, and thus y = -5.
Substituting this back into the first equation gives us that x = -3.
So, the point of intersection is (-3, -5).
Do someone have the answers
1. y = 5x + 15.
2. y = total cost
x = number of calendar
m = cost per calendar = slope = 5
b = initial value/y-intercept = 15
3. $1,015.
4. The equation in slope-intercept form is: y = 5x + 15
5. Slope (m) = 5
6. y-intercept (b) = 15; x-intercept = -3.
7. See attachment below for the graph.
How to Write an Equation that Models a Situation?Using the information given, we can create an equation in slope-intercept form y = mx + b, where m would be the slope and b would be the y-intercept of the linear equation.
Let,
y = total costx = number of calendarm = cost per calendar = slope = 5b = initial value/y-intercept = 151. To create an equation that models the situation, substitute m = 5 and b = 15 into y = mx + b:
y = 5x + 15.
2. The variables and numbers in the equation are:
y = total cost
x = number of calendar
m = cost per calendar = slope = 5
b = initial value/y-intercept = 15
3. Substitute x = 200 into y = 5x + 15
y = 5(200) + 15
y = 1,015
Total cost = $1,015.
4. The equation in slope-intercept form is: y = 5x + 15
5. The slope (m) = 5
6. The y-intercept (b) = 15
To find the x-intercept, substitute y = 0 into y = 5x + 15
0 = 5x + 15
-5x = 15
x = 15/-5
x = -3
The x-intercept = -3.
7. See attachment below for the graph.
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help me asap im in a dba back to basics exam and didnt study
Answer:
is this flvs full flex? I'm in this as well, whats your grade?
also im doing 12th grade math if you havent gotten to that point yet you will be working in Aleks for math and phewww, good luck i hate this
Step-by-step explanation:
What is the slope of the line that passes through the points (6,2) and (-18,2)
Answer:
0
Step-by-step explanation:
Since the Y coordinate does not change the slope is 0
3. What is this number in standard form? (1 point)
5.75 x 109
O5,750,000,000
O 575,000,000,000
O
0.00000000575
O 0.575000000000
4
HELP PLSSSSSSSS
Answer:
5,750,000,000
Step-by-step explanation:
