The statement that explains whether Juliana is correct is A. She is correct because she can multiply 6 and 10 by any number to form an equivalent ratio.
How to illustrate the information?From the information, it should be noted that
Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6:10.
It should be noted that she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio.
An example is (6 × 2)/(10 × 2) = 12/20
It should be noted that 6/10 is equivalent to 12/20.
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6
Susan is using 0.5 acres of land for organic farming.
If she divides the land into 6 equal-sized plots for the
6 vegetables she is planting, what will be the size of
each plot? (1 acre = 43,560 square feet)
A) 3,630 square feet
B) 6,700 square feet
C)
7,260 square feet
D) 14,520 square feet
The size of each plot is 3630 square feet to plant six vegetables.
Given, Susan is using 0.5 acres of land.
we know that 1 acre = 43,560 square feet
0.5 acre = 1/2 acre = 1/2 × 43,560
= 21780 square feet.
we need to divide the land into 6 equal sized plots.
divide 21780 into six equal parts.
= 21780/6
= 3630 square feet
the land is being divided into 3630 square feet to plant 6 equal sized plots.
Hence susan plants six vegetables in 3630 square feet each.
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There are 45% blue cars, 30% red cars, and 25% green and black cars. How many red car are there and how many blue cars are there?
There are 75% of red cars and blue cars if you add them together.
Hope this helps, please give me brainliest if I'm correct. ;)
Written as a simplified polynomial in standard form, what is the result when (3x-3)^2 is subtarcted from 4xr^2
The resulting polynomial after subtracting will be -5x² +18x -9
In the given question, we have two polynomials. We have to Subtract (3x-3)² from 4x². Firstly we will have to calculate (3x-3)².
Calculating, (3x-3)²
=> (3x - 3)² = 9x² -18x +9
After evaluating (3x - 3)² we get 9x² -18x +9.
Subtracting 4x² by 9x² -18x +9 we get:
=> 4x² - (9x² -18x +9) => 4x² - 9x² +18x -9
=> -5x² + 18x -9
We get a resultant answer after subtracting -5x² + 18x -9
Hence, the equation after subtracting the two numbers will be
-5x² + 18x -9
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Expand each logarithm. log₃ √9x
According to the question, the logarithmic function can be simplified with the help of the concept of indices as well as logarithmic laws.
Expression = [tex]log_{3} \sqrt[n]{9x}[/tex]
Using logarithmic laws, it can be written as:
Expression = [tex]log_{3} \sqrt[n]{9x}= log_{3} 3\sqrt[n]{x}=log_{3}3 +log_{3}x^{1/2}[/tex]
[tex]1+\frac{1}{2}log_{3}x[/tex]
Therefore, the final answer of the given logarithmic function is:[tex]1+\frac{1}{2}log_{3}x[/tex]
What is logarithmic function?
In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.
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The function g is defined as follows.
g(x)=3x² +5
If the graph of g is translated vertically downward by 6 units, it becomes the graph of a function f.
Find the expression for f(x).
Answer: graph the function defined by the formula g(x) = f(x)+2. To graph y = f(x) - k, shift the graph of y = f(x) down k units by subtracting k from.
Step-by-step explanation:
the table shows a proportional relationships between x and y complete the table
The table in question shows a proportional relationship between x and y, this shows that there is an independent and a dependent variable and their value compliments each other
This is further explained below.
What is the proportional relationship?Generally, The table in question demonstrates that there is a proportionate connection between x and y.
This indicates that there is both an independent and a dependent variable and that the values of both variables complement one another.
In conclusion, Relationships between two variables that are proportional occur when their ratios are equal.
Another way to consider them is that in a proportionate connection, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.
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If x=10, find m∠WYZ
Will choose brainliest
Answer:
23˚
Step-by-step explanation:
If x = 10, then angle VYZ = 157 by basic algebra. Knowing that VYZ and WYZ are supplementary angles, we can do 180-157 to find angle WYZ. 180-157 = 23˚
which pairs of equations produce parallel lines
pls help giving brainliest answers!! :)
Answer: A. 3x+y=-6 y=-3x+6
Step-by-step explanation:
Box and Whisker Word Problems
1) A city hospital tracked how many patients visited its ER over 9 days.
Using the data below, write out the five number summary and make a box and whisker p
4, 16, 24, 21, 7, 22, 8, 9, 14
Minimum:
Q₁:
Maximum:
Answer:
A city hospital tracked how many patients visited its ER over 9 days.
Using the data below, write out the five number summary and make a box and whisker plot.
4, 16, 24, 21, 7, 22, 8, 9, 14
Minimum: ________4______ Maximum: ______24________
Q1 is 8.5
: _______14___ Q2
: ______23____ Q3
: __________
Step-by-step explanation:
[ Brainliest ] please answer the question in the photo!
Answer:
angle v
please take a look at the gif
Answer:
v
Step-by-step explanation:
20+2x=x+56 solve for x No words
Answer:
36
Step-by-step explanation:
Fine I wont
Answer:
x=36
Step-by-step explanation:
20+2x=x+56
-20 -20
2x=x+36
-x -x
x=36
20+2(36)=(36)+56
20+72=36+56
92=92
Hope this helps.
Potenciación hay dice lo que hay que hacer ayuda
Using laws of indices, we can easily find the values of expressions below.
Laws of IndicesTo solve this given problem, we have to apply different laws of indices.
12.
[tex](x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}[/tex]
13.
[tex](a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}[/tex]
14.
[tex]\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}[/tex]
15.
[tex]\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}[/tex]
16.
[tex]\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}[/tex]
17.
[tex]\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}[/tex]
From the above calculation, we can solve the respective given expression using indices.
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Find the amount in a continuously compounded account for the given conditions.principal: $ 950 annual interest rate: 6.5% time: 10 years
The amount in a continuously compounded account for the given conditions is $1819.76 .
Compound interest is interest calculated on the principal and the interest accrued in previous periods. Compound interest is interest based on principal and interest accumulated over a period of time.If we specifically state that the quantity in question is "continuously composed", we must use the continuous constitutive formula which is given by [tex]A=Pe^{rt}[/tex] ..... (1) where, P = initial amount , A = final amount , r = interest rate , t = time , e is a mathematical constant with e ≈ 2.7183.
It is given that principal is 950 , annual interest rate is 6.5% , time is 10 years
Putting [tex]P=\$950 , \ r= 6.5\% , \ t=10 \ years[/tex] in equation (1) , we get
[tex]A=950\times 2.71^{0.065 \times 10}\\A=950\times 2.71^{0..65}\\\A=950\times1.9155\\A =$1819.76[/tex]
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Which number equals (2³) ²?
Answer:
64
Step-by-step explanation:
first compute the bracket 2 cubed which is 8
then square the contents of the bracket which results in 64
In a school of 480 students, 60% ride the bus to school. How many students ride the bus?
Simplify. Rationalize all denominators. √x / √6 y³
The simplification of √x / √6 y³ after rationalizing all denominators is
[tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex]/ 6
Given; [tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex] , we are to simplify and also rationalize the denominators
[tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex] * [tex]\frac{{\sqrt{6} y^{3} }}{{\sqrt{6} y^{3} }}[/tex]
= [tex]{\sqrt{6} y^{3} }[/tex] * [tex]\sqrt{x}[/tex] / [tex]{\sqrt{6} y^{3} }[/tex]* [tex]{\sqrt{6} y^{3} }[/tex]
=[tex]\sqrt{6x}[/tex] * [tex]y^{3}[/tex] / [tex]\sqrt{36}[/tex]* [tex]y^{6}[/tex]
= [tex]\sqrt{6x}[/tex] * [tex]y^{3}[/tex] / 6 * [tex]y^{6}[/tex]
=[tex]\sqrt{6x}[/tex] * [tex]y^{3-6}[/tex] / 6
= [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6
The final answer to this question, is, [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6
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What is the longest side of a right triangle
A right angle
B leg B
C leg A
Hypotenuse
Answer:
Hypotenuse
Step-by-step explanation:
The longest side of a triangle is opposite the largest angle, which is the right angle in a right triangle.
Answer:
Hypotenuse.
Step-by-step explanation:
Discussion
A: says it is a right angle. It can't be the answer to the longest side.
B: Usually B and A might be the hypotenuse, but that is generally not the way they are displayed.
C: Neither B nor A can be chosen.
D: Answer:
The measure of Angle b is 45 degrees and the measure of angle c is 23 degrees. What is the measure of angle f?
Answer:
I think its 93
A math test is worth 100 points. There are a total of 26 questions. There are equation questions that are worth 2 points each and vocabulary questions are 5 points each. Use a system of equations to solve for the number of equation questions and vocabulary questions on the math test.
Answer:
Let the number of equations be x and the number of vocabulary questions be y.
x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)
2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10
Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test
Hope this helps!
Explain how you can tell if y=ab x represents exponential growth or exponential decay.
In the form y = ab^x, if b is a number between 0 and 1, the function represents exponential decay.
The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
Radioactive decay and population decline are two examples of exponential decay. The data collected can be used to forecast future population trends for cities and colonies as well as the half-life of radioactive materials.
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Each gallon of gasoline costs $2.35. The
equation y = 2.35x can be used to represent this
situation. What is the constant of
What does the constant of
proportionality?
proportionality represent in the context of the
problem?
The proportionality constant for the above equation y = 2.35x is 2.35.
What is the equation?An equation can be defined in several ways. Algebraically speaking, an equation is a statement that shows the equivalence of two mathematical expressions.
A linear equation could have more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.
Let us x ∝ y.
Following that, x = ky, where k is a constant or proportional.
When two variables that were in proportion are split, it will result in a constant proportional because k = x/y.
The constant of proportionality for the above equation y = 2.35x will be y/x = 2.35.
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3. Jada followed these rules to write a 5-digit number.
●
O in the tens place
●
2 in the hundreds place
●
5 in the thousands place
6 in the ten thousands place
. 9 in the ones place
What number did she write? Enter your answer in the box.
05
Answer:
65,209
Step-by-step explanation:
I got it write
Answer:
65209
the answer is 65209
NEED HELP PLEASE!! INEQUALITY!!
Answer:
x < - 5
Step-by-step explanation:
4x + 1 < 3x - 4 ( subtract 3x from both sides )
x + 1 < - 4 ( subtract 1 from both sides )
x < - 5
the graph is the number line with an open circle at - 5 and arrow pointing to the left.
Answer: x<-5
Step-by-step explanation: i did it on OW
pls helpp
does m^2-4 equal to (m-2)(m+2)?
and does m^2+4 equal to (m-2)(m+2) also then??when simplified
Answer:(m+2)(m+2)
Step-by-step explanation:
The difference of two squares takes the form
[tex](x^{2} -y^{2} ) =(x-y)(x+y)[/tex]
[tex](x^{2} +y^{2} ) =(x+y)(x+y)[/tex]
[tex](m^{2} -4)=(m^{2} -2^{2} )=(m-2)(m+2)\\\\(m^{2} +4)=(m^{2} +2^{2} )=(m+2)(m+2)[/tex]
I hope you understand!
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=x²/2
Answer to this question is:
Domain of given function is (-∞,∞),{x|x∈R}
Range of given function is [0,∞),{y|y≥0}
Inverse of given function is √2x,-√2x
The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.
This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.
When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.
Interval Notation:(-∞,∞)
Set-Builder Notation:{x|x∈R}
The set of all valid y values constitutes the range.Graph may be used to find the values.
Interval Notation:[0,∞)
Set-Builder Notation:{y|y≥0}
For calculation of inverse:
Interchange the variables x=y²/2Solve for yy=√2x,-√2xReplace y with f^-1(x)f^-1(x)=√2x,-√2x∴Domain of given function is (-∞,∞),{x|x∈R}
Range of given function is [0,∞),{y|y≥0}
Inverse of given function is √2x,-√2x
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Shaniece has a points card for a movie theater.
• She receives 50 rewards points just for signing up.
• She earns 14.5 points for each visit to the movie theater.
• She needs at least 195 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Shaniece can make to earn her first free movie ticket.
(this is due in 9 minutes someone pleaseeee help)
The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10
How to write and solve an inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticketThe given parameters are:
Reward point = 50Visit = 14.5 points per visitPoints needed = At least 195The inequality is calculated as
Reward point + Visit * Number of visits >= Points needed
So, we have
50 + 14.5x >= 195
Solve the inequality
14.5 >= 145
Divide by 14.5
x >= 10
Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10
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The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10
How to write and solve an inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket
The given parameters are:
Reward point = 50
Visit = 14.5 points per visit
Points needed = At least 195
The inequality is calculated as
Reward point + Visit * Number of visits >= Points needed
So, we have
50 + 14.5x >= 195
Solve the inequality
14.5 >= 145
Divide by 14.5
x >= 10
Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10
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In a book store,60 books of the same kind occupy 1.4m of shelf length . how much shelf length is required for 300 such books ? if a shelf is 84cm long,how many books are needed to fill the shelf?
7m shelf length is required for 300 such books, and 36 books are needed to fill the 84cm long shelf. So option (a). 7m,36 books is the correct option.
here in the question we need to apply concept of division.
what is division ?
Division is kind of mathematical operation where we find out equals parts of a number, by applying it a number can cut into many equal parts. It is opposite to multiplication.
As 60 books occupy 1.4 m of shelf ,
S0, 1 books occupies = 1.4/60 m of shelf
Then, 300 books occupy {(1.4/60)×300} m of shelf=
7m of shelf
Now, 7m=700cm is occupied by 300 books,
So,1cm is occupied by (300/700) books
Then, 84cm is occupied by (300/700)×84 books=36 books.
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The question was incomplete.
Check below the full question.
In a book store,60 books of the same kind occupy 1.4m of shelf length . how much shelf length is required for 300 such books ? if a shelf is 84cm long, how many books are needed to fill the shelf?
a. 7m,36 books
b. 5m,32 books
c. 10m,16 books
d. 3m,9 books
Rewrite the expression as the sum of two numbers. 7(2 + 6)
Answer: First you used distribute property
7(2+6) bring 7 into the parentheses
14+42 Then you just add
56 that’s the sum
Step-by-step explanation: hope this helps
y 3x + 6
y>-1/3x-6
y>x
Answer:y x
Step-by-step explanation:
calculator
What is the five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15
The five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15 is 2, 4, 5, 7, 15
The given data is 2, 2, 4, 4, 5, 5, 6, 7, 9, 15
The first step is to arrange the data in ascending order.
The given data is already in ascending order.
Lowest value = 2
Q1 = 4 (Median of first part i.e., 2, 2, 4, 4, 5)
Q2 = 5 (Median of full data i.e., 2, 2, 4, 4, 5, 5, 6, 7, 9, 15)
Q3 = 7 (Median of second part i.e., 5, 6, 7, 9, 15)
Highest value = 15
So, the five number summary of the data is 2, 4, 5, 7, 15
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