Answer:
452/2 = 226
Step-by-step explanation:
45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.
Hope this helps! :D
What are the solution(s) to the quadratic equation 9x² = 4?
0 x =
and x =
0 x =
I
69
4
and x = -
2
0 x = ² and x = -²
2
Ono real solution
Answer:
x= 2/3, -2/3
Step-by-step explanation:
9x² = 4
To solve this quadratic, divide each side by 9
x^2 = 4/9
Take the square root of each side
sqrt(x^2) = sqrt(4/9)
x = ±2/3
Answer:
x = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
9x² = 4 ( divide both sides by 9 )
x² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]
x = - [tex]\frac{2}{3}[/tex] , x = [tex]\frac{2}{3}[/tex]
the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium
a. hydrogen
b. oxygen
c. sodium
d. carbon
e. helium
Answer:
The reference atomic mass is carbon-12 when calculating atomic masses.
Step-by-step explanation:
The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.
Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.
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What is the inverse of this function?
8v, for x > 0
Answer:
f(x) = (x/8)^2 for x ≥ 0
Step-by-step explanation:
y = 8 sqrt x switch x and y
x = 8 sqrt y now solve for y
(x/8)^2 = y
Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}
Answer:
This mapping isn't a function.
Step-by-step explanation:
A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form [tex]\lbrace (x_{0},\, y_{0}),\, (x_{1},\, y_{1})\rbrace[/tex] would map the input [tex]x_{0}[/tex] to output [tex]y_{0}[/tex] and map the input [tex]x_{1}[/tex] to output [tex]y_{1}[/tex].
A function is a mapping where each input is associated with exactly one output.
Note that both [tex](2,\, 1)[/tex] and [tex](2,\, 4)[/tex] are in the mapping given in this question. The input [tex]2[/tex] is mapped to more than one outputs. Thus, this mapping isn't a function.
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d? A. 4 km B. 9 km C. 48 km D. 16 k
The approximate distance in km between her house and her job is 9 km.
What is the approximate distance?The map is a scale drawing of the places mentioned. A scale drawing is a smaller image of a larger place or diagram.
The scale of the map = 8cm : 12km
Distance between the house and the job = (12 x 6) / 8 = 9m
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Use the graphs below to answer the following questions: a. g(f(2) b. f(f(1)) c. f(g(2))
Answer:
19-73 19-73 and a very nice little
Step-by-step explanation:
19-73 19-73 and he changed
Find the slope of the line that passes
through these two points.
Point 1
(4,0)
Point 2
(6,2)
Answer:
1
Step-by-step explanation:
(2-0) / (6-4)
2/2
xxxxxxxx
Answer:
1
Step-by-step explanation:
Pedro's dining room is 5 metres wide and 6 metres long. pedro wants to install a new wood floor. it will cost $2.18 per square metre. how much will pedro's new floor cost?
Answer:
65.4
Step-by-step explanation:
5 × 6 = 30 square meter
30 × 2.18 = 65.4
The Law of Sines states that sin A/b = sin B/c = sin C/a
True
False
Step-by-step explanation:
hope you can understand
Use the drawing tools to sketch the graph of a rational function with a domain of { x | x ∈ R , x ≠ - 5 , 4 } . Include one removable discontinuity and one nonremovable discontinuity. Label each discontinuity using the text tool.
If [tex]f(x)[/tex] has a removable discontinuity at [tex]x=a[/tex], then the limit
[tex]\displaystyle \lim_{x\to a} \frac{f(x)}{x-a}[/tex]
exists and is finite.
A non-removable discontinuity at [tex]x=b[/tex] would entail a non-finite limit,
[tex]\displaystyle \lim_{x\to b} \frac{f(x)}{x-b} = \pm\infty[/tex]
or the limit does not exist (which could be due to the limits from either side of [tex]x=b[/tex] not matching or existing).
For a rational function, we want
[tex]f(x) = \dfrac{p(x)}{q(x)}[/tex]
where [tex]p[/tex] and [tex]q[/tex] are polynomials in [tex]x[/tex]. To get a removable discontinuity at [tex]x=a[/tex], both [tex]p[/tex] and [tex]q[/tex] must be divisible by [tex]x-a[/tex], and the limit of their quotient after removing these factors still exists. That is,
[tex]\displaystyle \lim_{x\to a} f(x) = \lim_{x\to a} \frac{p(x)}{q(x)} = \lim_{x\to a} \frac{(x-a)p^*(x)}{(x-a)q^*(x)} = \lim_{x\to a} \frac{p^*(x)}{q^*(x)} = \frac{p^*(a)}{q^*(a)}[/tex]
On the flip side, we get a non-removable discontinuity [tex]x=b[/tex] if [tex]p[/tex] is not divisible by [tex]x-b[/tex], in which case
[tex]\displaystyle \lim_{x\to b} f(x) = \lim_{x\to b} \frac{p(x)}{q(x)} = \lim_{x\to b} \frac{p(x)}{(x-b)q^*(x)} = \frac{p(b)}{0\times q^*(b)}[/tex]
and this is undefined.
Suppose [tex]f(x)[/tex] has a non-removable discontinuity at [tex]x=-5[/tex] and a removable one at [tex]x=4[/tex]. Then one such function could be
[tex]f(x) = \dfrac{x-4}{(x-4)(x+5)} = \dfrac{x-4}{x^2+x-20}[/tex]
Write the algebraic expression for the following statement.
A number plus 15.
Answer:
the algebraic expression is; x+15
Write the sentence as an equation.
253 equals the product of 232 and k
Type a slash ( / ) if you want to use a division sign.
The solution to a given word problem by writing it as an equation is k = 253/232
Expressing word problems in mathematical forms:The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.
From the given information, to express the word problem in mathematical form, we have:
253 = 232 × k253 = 232kMaking k the subject of the equation, we have:
k = 253/232
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Quentin currently owes a total of $1,551.42 on his revolving credit accounts. What is Quentin's debt-to-credit ratio if his total revolving credit limit is $8,619.00? (4 points)
18%
23%
29%
31%
Answer:
(a) 18%
Step-by-step explanation:
The debt to credit ratio is found by dividing his debt by his credit limit.
__
using the definitionratio = debt/credit limit = $1551.42/$8619.00 ≈ 0.18 = 18%
Quentin's debt to credit ratio is 18%.
if the ratio to cats to dogs at the city pound is 92 to 144. which statement describes this relationship?
Answer:
For every 92 cats in the city pound, there are 144 dogs.
OR
For every 144 dogs in the city pound, there are 92 cats
Step-by-step explanation:
You didn't provide the options, so that was my best shot at it.
Which is a rational function?
A. Y=5
B. Y=√x-3
C. Y=x²-3x+5
D.Y = x-5/x
According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 33% federal income tax
bracket?
Based on the table, a possible taxable income for a taxpayer that's filing with the Single filing status in the 33% federal income tax bracket is $300,000.
What is taxation?Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
In this scenario, we can infer and logically deduce that a possible taxable income for a taxpayer that is filing with the Single filing status in the 33% federal income tax bracket is $300,000.
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4x² + 6x = 12
Solve by completing square
4x² + 6x = 12
We move all the terms to the left:
a = 4; b = 6; c = -12;Δ = b² - 4acΔ = 6² - 4 · 4 · ( -12 )Δ = 228The value of Δ is greater than zero, so the equation has two solutions
We use the following formulas to compute our solutions:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a }| \ x_{2}=\dfrac{-b+\sqrt{\Delta} }{2a } } \end{gathered}$}[/tex]
The end solution:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sqrt{\Delta}=\sqrt{228}=\sqrt{4*57}=\sqrt{4}*\sqrt{57}=2\sqrt{57} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a}=\dfrac{-(6)-2\sqrt{57} }{2*4}=\dfrac{-6-2\sqrt{57} }{8} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b+\sqrt{\Delta} }{2a}=\dfrac{-(6)+2\sqrt{57} }{2*4}=\dfrac{-6+2\sqrt{57} }{8} } \end{gathered}$}[/tex]
{ Pisces04 }A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Answer:
D. 240
Step-by-step explanation:
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
6×4×5×2=
24×10=
240
The number of possible outcomes will be 240. The correct option is D.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
The number of possible outcomes will be calculated as:-
N = 6×4×5×2
N = 24×10
N = 240
Therefore, there will be 240 possible outcomes. The correct answer is D.
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Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.
Answer:
D.) Yes, because it passes the vertical line test.
Step-by-step explanation:
For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.
In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.
Yes, The graph is function because it passes the vertical line test.
We have to given that,
A graph of function is shown in image.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Hence, By given graph,
it passes the vertical line test.
So, Graph shown is a function.
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A number written in scientific notation has a ________ that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.
A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.
The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten
The exponent is positive and equals the number of spaces to the left of the original decimal point. When expressed in scientific notation, a negative exponent. The exponent's value is equal to how many places to the right the decimal has been pushed.As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.
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find [-4/5]×3/7×15/16×[-14/9]
The given expression is [tex]\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})[/tex].
We need to simplify the given expression.
What is a rational number?In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Now group the rational numbers [tex](\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))[/tex]
[tex]=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))[/tex]
[tex]=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))[/tex]
[tex]=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}[/tex]
Therefore, the simplified value of the given expression is [tex]\frac{1}{2}[/tex].
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Item 18
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.
A mixed number in simplest form, in the box is 40 5/8 cm^3.
We have given that,
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.
What is the volume of the prism?The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 .5cm
width = 2.5cm
height = 2.5cm
If you plug everything you have in the problem into the volume equation, you would get
volume = 6.5cm x 2.5cm x 2.5 cm.
Without a calculator first, turn the mixed numbers into improper fractions.
6 .5=13/2
2.5 = 5/2
Volume = 13/2 x 5/2 x 5/2
When you multiply everything together you should get.
As a mixed number, that would be 40 5/8.
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Order these fractions from smallest to lowest
1[tex]\frac{1}{2} \frac{7}{12} \frac{2}{17}[/tex]
Answer: [tex]\frac{1}{2} \frac{2}{17} \frac{7}{12}[/tex]
Step-by-step explanation:
Someone please help with this !!!!!
Answer:
[tex]5^{\circ}[/tex]
Step-by-step explanation:
[tex]~~~~~~~\tan \theta = \cot 85^{\circ}\\\\\implies \tan \theta = \tan\left(90^{\circ} - 85^{\circ} \right)\\\\\implies \tan \theta = \tan 5^{\circ}\\\\\implies \theta = 5^{\circ}[/tex]
find the value of x
Answer:
x=5
\
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Line segment UV and line segment VW together form line segment UW.
UV + VW = UW
(5 + x) + (6) = (2x + 11)
5 + x + 6 = 2x + 11
x + 11 = 2x + 11
x + 11 - 11 = 2x + 11 - 11
x = 2x
x - x = 2x - x
0 = x
You can also verify the result by substituting x with our result 0.
5 + x + 6 = 2x + 11
5 + (0) + 6 = 2(0) + 11
11 + 0 = 0 + 11
11 = 11
Left side of the equation is the same as the right side of the equation, therefore the result x = 0 is correct.
1. What is the binomial expansion of (x + 3)5?
Answer:
5x + 15
Step-by-step explanation:
To expand the binomial, you need to multiply each term inside the parentheses by 5.
(x + 3)5
= (x * 5) + (3 * 5)
= 5x + 15
Which is a perfect square?
61
62
63
65
Answer:
So none of these would be a perfect square but the closet one to it would be 65
Step-by-step explanation:
Solve for k in g=k-a.
Answer:
k = g + a
Step-by-step explanation:
g = k - a ( add a to both sides )
g + a = k , that is
k = g + a
Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to know cost for each month. Write and equation indicating the total cost of dancing lessons
What multiples to 42 but adds to -13