If we compare numbers -√7 and 3.12345 we find that 3.12345 is always greater than -√7.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given that there are two numbers which are -√7 and 3.12345.
Let's compare the,.
We know that an irrational number is a number which can't be expressed other than using roots.
Here -√7 is an irrational number and if we represent that in decimal form then it can be written as :
-√7 = - 2.6467
Now , as this number is negative decimal number it is less than the other number given which is 3.12345 because 3.12345 is a positive decimal number. And we know that value of a positive number is always greater than a negative number.
i.e.,
3.1245 > -√7
Therefore , if we compare numbers -√7 and 3.12345 we find that 3.12345 is always greater than -√7.
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PLEASSE HELP IVE BEEN STUCK FOR SO LONG HOW DO I DO THESE?
The frequency of the red light is 4.6 × 10⁵ Hz
Calculating frequencyFrom the question, we are to determine the frequency of the red light with the given wavelength
From the given information,
Wavelength = 650 nm
c = 3.0 × 10⁸ m/s
From the formula,
c = fλ
∴ f = c/λ
Where c is the speed of light
f is the frequency
λ is the wavelength
Thus,
f = 3.0 × 10⁸/650
f = 4.6 × 10⁵ Hz
Hence, the frequency of the red light is 4.6 × 10⁵ Hz
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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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In a school of 480 students, 60% ride the bus to school. How many students ride the bus?
y 3x + 6
y>-1/3x-6
y>x
Answer:y x
Step-by-step explanation:
calculator
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:
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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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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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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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!
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
The same honey is sold in two different size jars.
Large Jar 540g for £4.10
Small Jar 360g for £2.81
By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.
From unitary method calculations, we have found that the large jar is the best value for money because a penny buys more honey.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We need to determine which has the best value for money using the quantity a pound can purchase.
So, first for the large jar.
£4.10 will be purchase 540g of honey then,
£1.00 will be purchase xg
Then cross multiplying for x will be;
x = 1.00 (540g )/4.10
x = 131.7g
Hence for the large jar a penny will buy 131.7g of honey.
Now second for the small jar
£2.81 will be purchase 360g of honey then,
£1.00 will purchase xg
Now cross multiplying
x = 1.00 (360g )/ 2.81
x = 128.1g
Hence for the small jar a penny will buy 128.1g of honey.
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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
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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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. ;)
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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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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Find the area of the rectangle with the given base and height
5 ft, 2 inch
The area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.
How to Determine the Area of a rectangle?The area of a rectangle is the product of the length of its base and its height.
Area of rectangle = (base)(height)
Given the parameters:
Length of the base of the rectangle = 5 ft
[Note: 1 ft = 12 inches]
Convert 5 feet to inches
5 feet = (5)(12) = 60 inches
Height of the rectangle = 2 inches
Substitute
Area of the rectangle = (60)(2)
Area of the rectangle = 120 square inches
In conclusion, the area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.
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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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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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What is -1/5 + 7/10 i keep getting 9/10 but on my hw paper the answer doesn’t match
Answer:
1/2
Step-by-step explanation:
1. LCD = 10
2. [tex]-\frac{1}{5} * \frac{2}{2} + \frac{7}{10}[/tex]
3.[tex]-\frac{2}{10} + \frac{7}{10}[/tex]
4. [tex]-\frac{2+7}{10}[/tex]
5. 5/10
6. Simplify : 1/2
Hope this helps!
--Blu
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.
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!
Help me please I'll give brainliest to the most helpful answer or the answer that makes the most sense.
Answer:
x = 120°
Step-by-step explanation:
Since s and t are parallel and are on a supplementary line, that means that the interior angle and the exterior angle (60°) will equal 180° (supplementary)
So to find the angle of x, you have to minus 60 from 180, and you get x, which is 120°
I hope this helps! :)
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
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
How many ways can you make a 3 letter arrangements out of the letters in the word trapezoid
Answer:
504 ways fr
Step-by-step explanation:
The value of a stock decreases by an average of 12 dollars each week. Which of the following represents the total average decrease in the stock after 4 weeks?
|−12| − 4 = 8 dollars
4|−12| = 48 dollars
|−12| − |4| = 8 dollars
−4|12| = 48 dollars
Answer:
4|−12| = 48 dollars.
Step-by-step explanation:
The question asks for the total decrease after 4 weeks. Since there is no such thing as negative weeks, A and C are disqualified. Since D is simply wrong math (-4x12=-48), it is also wrong.
which pairs of equations produce parallel lines
pls help giving brainliest answers!! :)
Answer: A. 3x+y=-6 y=-3x+6
Step-by-step explanation:
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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[ Brainliest ] please answer the question in the photo!
Answer:
angle v
please take a look at the gif
Answer:
v
Step-by-step explanation: