Concluding, there are (2 + 12) boxes of pencils left.
How many boxes of pencils were left?We know that Ms. Bloom had (4 + 7/12) boxes of pencils, and we also know that (2 + 1/12) of the boxes were broken.
The number of boxes of pencils left is given by the difference between the two above numbers, then we get:
N = (4 + 7/12) - (2 + 1/12) = (4 - 2) + (7/12 - 1/12) = 2 + 6/12
Now we can simplify the fraction:
N = 2 + 1/2
Concluding, there are (2 + 12) boxes of pencils left.
If you want to learn more about subtractions:
https://brainly.com/question/25421984
#SPJ1
Which of the graphs below represents the equation 4x+y=7
Which of the following inequalities is graphed on the coordinate plane? A. y>-2x+1 B. y>-2x+1 C. y<-2x+1 D. y<-2x+1
The correct equation that has been shown by the graph is y<-2x+1. Option D
What is inequality?The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.
Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D
Learn more about inequality:https://brainly.com/question/20383699
#SPJ1
Answer: The correct equation that has been shown by the graph is y<-2x+1. Option D
What is inequality?
The term inequality refers to a mathematical statement that contains the inequality sign rather than the equality sign. Looking at the inequality sign, we know that the sign ought to be less than.
Thus, the correct equation that has been shown by the graph is y<-2x+1. Option D
Learn more about inequality:brainly.com/question/20383699
Step-by-step explanation:
25 Points + BRANIEST. PLEASE HELP
Answer:
sorry I don't know please forgive because I can't copy the question
Please help..this is due tomorrow morning.
Which measurements of triangle BAC are correct
The measurements that are correct for the given triangle are
sin C = 9/15
B ≈ 53.13°
Trigonometrical ratiosFrom the question, we are to determine which of the given trigonometrical ratios for the given triangle are correct
The given triangle is a right angle triangle
Using SOH CAH TOA
sin C = 9/15
∴ The option sin C = 9/15 is correct
Also,
Using SOH CAH CAH
tan B = 12/9
∴ The option tan B = 9/12 is NOT correct
To determine the measure of angle B (m ∠B)
From tan B = 12/9
Then,
tan B = 1.33333
B = tan⁻¹(1.33333)
∴ B ≈ 53.13°
Thus, the option B ≈ 53.13° is correct
Hence, the measurements that are correct for the given triangle are
sin C = 9/15
B ≈ 53.13°
Learn more on Trigonometrical ratios here: https://brainly.com/question/14640359
#SPJ1
Grade 11 Circle Geometry(Tagents)(Find g)
Answer:
g = 4
Step-by-step explanation:
if 2 tangent segments are drawn to a circle from the same external point then they are congruent , that is
RJ = RW and MJ = MB and KB = KW
given MR = 6 , then
MJ = 6 - g = MB
given KM = 5 , then
KB = 5 - MB = 5 - (6 - g) = g - 1 = KW
given KR = 7 , then
RW = 7 - KW = 7 - (g - 1) = 8 - g
Then
RJ = RW , that is
g = 8 - g ( add g to both sides )
2g = 8 ( divide both sides by 2 )
g = 4
In a hypothesis test, what should we conclude if the data would be very unusual if the original assumption about our parameter were correct?
We conclude the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.
A hypothesis in statistics is a claim or supposition on the properties of one or more variables in one or more populations. There are two hypothesis to choose between because a statement might either be true or wrong.The null hypothesis is the assertion that we (or someone else) consider to be true. Our hypothesis test will come to one of two conclusions: "reject H0" or "do not reject H0." Remember that until data provide evidence to the contrary, we always proceed under the null hypothesis.If the null hypothesis is incorrect, the alternative hypothesis must be true. The hypothesis test can be different in one of three ways: greater than, smaller than, or just different (not equal). As a result, there will always be an inequality requirement in the notation for H.Learn more about Alternative hypothesis here: https://brainly.com/question/17173491
#SPJ4
Given sin theta=5/13 and cos theta=12/13, which of the following can be proven using a Pythagorean identity?
Answer:
4th option
Step-by-step explanation:
given
sinΘ = [tex]\frac{5}{13}[/tex] and cosΘ = [tex]\frac{12}{13}[/tex] , then
( [tex]\frac{5}{13}[/tex] )² + ( [tex]\frac{12}{13}[/tex] )²
= [tex]\frac{25}{169}[/tex] + [tex]\frac{144}{169}[/tex]
= [tex]\frac{25+144}{169}[/tex]
= [tex]\frac{169}{169}[/tex]
= 1
showing sin²Θ + cos²Θ = 1
Which of the following equations can be used to find the length of EF in the
triangle below?
OA. EF = 24 +12
OB. (EF)2 = 242 +12²
OC. EF = 24-12
D. (EF)2 = 242-12²
D
24
E
12 F
W
The equation which can be used to find the length of EF is option A which is EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].
Given the length of base of right angled triangle is 12 and the hypotenuse be 24.
We are to find the length of EF and tell which equation can be used to find the length of EF.
We know that pythagoras theorem applies in a right angled triangle.
Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.
[tex]H^{2} =B^{2} +P^{2}[/tex]
In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.
[tex](DE)^{2} =(EF)^{2} +(DF)^{2}[/tex]
EF=[tex]\sqrt{DE^{2}-DF^{2} }[/tex]
=[tex]\sqrt{(24)^{2} -(12)^{2} }[/tex]--1
=[tex]\sqrt{576-144}[/tex]
=[tex]\sqrt{432}[/tex]
Hence the equation which can be used to find the length of Ef is option A which is EF=[tex]\sqrt{24^{2} -12^{2} }[/tex].
Question is incomplete as it should include the figure also.
Learn more about pythagoras theorem at https://brainly.com/question/343682
#SPJ1
For the transformation t, what is t-1? t : (x, y) (x 4, y 3) t-1: (x, y) (x - 4, y - 3) (-4x, -3y) (x 3, y 2)
The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as
[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex]
The value of a exists -4 and value of b exists -3.
How to determine the value of [tex]$\mathrm{T}^{-1}$[/tex]?
The transformation T exists given as
[tex]$T:(x, y) \rightarrow(x+4, y+3)[/tex]
Let the transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as
[tex]$T^{-1}:(x, y) \rightarrow(x+a, y+b)$$[/tex]
If T and [tex]$T^{-1}$[/tex] exists inverses each other, then
[tex]$&T\left(T^{-1}(x)\right)=x \\[/tex]
[tex]$&T(x+a)=x \\[/tex]
[tex]$&x+a+4=x \\[/tex]
[tex]$&a=-4[/tex]
The value of a exists -4.
If T and [tex]$\mathrm{T}^{-1}$[/tex] exists inverses each other, then
[tex]$&T\left(T^{-1}(y)\right)=y \\[/tex]
[tex]$&T(y+b)=y \\[/tex]
[tex]$&y+b+3=y \\[/tex]
b = -3
The value of b exists -3.
The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as
[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex].
To learn more about transformation refer to:
https://brainly.com/question/2689696
#SPJ4
Henry will need a total of 15 pints of paint. The 3 pints of yellow were multiplied by 3 to get 9 total, so 2 pints of red would be multiplied by 3 to get 6 total.
Which ideas did you include in your response? Check all that apply.
Henry will need 15 pints altogether.
The number of pints of yellow (3) is multiplied by 3 to get 9, so he would multiply 2 by 3 to get 6 pints of red.
Add: 6 + 9 = 15 pints.
Answer:
All answers are correct.
Step-by-step explanation:
Henry needs a total of 15 pints.
3 pints of yellow multiplied by 3 gives 9 pints of yellow, he needs 6 pints of red to get to 15, so he multiplies 2 pints of red by 3 to get 6 pints of red.
You add 9 + 6 to get the total of 15 pints he needs.
Rohan was planning a party and needed to provide 35 lunches. the cost for each plate 5$ and each plate was 6$. how many of each could he buy and spend $198 total?
for 5 bucks a plate its 39 for 6 bucks its 33
Step-by-step explanation:
The Chens bought their house for $240 000 twenty years ago. They just sold the house
for $520 000. What percent is the new value of the house of the price they paid 20
years ago?
The percent is the new value of the house of the price they paid 20 years ago is 216.67%.
PercentageOld price = $240 000New price = $520 000percent is the new value of the house = New price / Old price
= 520,000 / 240,000 × 100
= 2.16666666666666
= 216.666666666666%
Approximately,
percent is the new value of the house = 216.67%
Therefore, the percent is the new value of the house of the price they paid 20 years ago is 216.67%.
Learn more about percentage:
https://brainly.com/question/843074
#SPJ1
Natalie charges $1,490 per month to rent each of her three rental houses. natalie must pay $5,850 in maintenance costs per house per year. if all three houses are occupied, how much money will natalie earn over seven years? a. $334,250 b. $252,630 c. $84,210 d. $375,480
The correct option is B.
Natalie charges $1490 in rent for each home Per month.
According to given information:Natalie charges $1490 in rent for each home.
Given that Natalie owns three homes, her monthly rent will be:
= $4470 (3 * 1490) dollars.
The annual income Natalie receives from her three homes is
=($12 * $4470)
= $53680.
Natalie spends $5850 a year on maintenance for each home.
The total amount Natalie spends annually to maintain her three homes is therefore:
=(3 * 5850) dollars, which comes to 17550 dollars.
Then Natalie's annual income would be
= [(53640 - 17550) dollars]
= 36090 dollars.
The total amount Natalie made over the course of seven years was
= ($7 * 36090)
=$252630
The correct option is B.
Natalie charges $1490 in rent for each home Per month.
To know more about Investment and return visit:
https://brainly.com/question/22609285
#SPJ4
Answer:B) $252630
Step-by-step explanation:edge
Elena reflects the word 'MOM' over the x-axis and finds that it makes a new word. What is the new word?
Select the order in which the operations should be performed
12-4/4
Divide 12 by 4, then subtract 4 from that number.
Divide 4 by 4, then subtract that number from 12.
Subtract 4 from 12, then divide that number by 4.
Subtract 4 from 12, then multiply that number by 4.
None of the above
Answer: Divide the 4/4 then subtract that from 12.
Step-by-step explanation:
Use PEMDAS. The Division comes first, then the subtraction.
Simplify the expression. x≠0. (4x^2)^0
1
Step-by-step explanation:Anything raised to the power of zero is 1, other than zero itself.
However, as it is given that x is not equal to zero, the answer must be 1.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation: }[/tex]
[tex]\mathsf{(4x^2)^0}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{(4x^2)^0}\\\\\mathsf{= (4 \timesx^2)^0}\\\\\mathsf{= 4(x \times x)^0}\\\\\mathsf{= (4x^2)^0}\\\\\mathsf{= 1}[/tex]
[tex]\huge\textbf{Therefore, your answer should:}[/tex]
[tex]\huge\boxed{\frak{1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the slope of the line.
Simplify completely.
1 2 3 4
-4 -3 -4 -1
-1
Slope = [?]
Hint: The slope of a line is the rise
run
The slope of a line is -2.
How to find the slope a line?The slope of a line can be described as follows:
The slope of a line is a measure of its steepness
Slope = rise / run
slope = y₂ - y₁ / x₂ - x₁
using (0, -4)(-1, -2)
x₁ = 0
x₂ = -1
y₁ = -4
y₂ = -2
Therefore,
slope = -2 - (-4) / -1 - 0
slope = -2 + 4 / -1
slope = 2 / -1
slope = -2
learn more on slope here: https://brainly.com/question/14459038
#SPJ1
If two solids are similar and have a linear ratio of 2:5, what is the ratio of the areas?
Answer:
4 : 25
Step-by-step explanation:
given 2 similar figures with linear ratio a : b , then
ratio of areas = a² : b²
here the linear ratio = 2 : 5 , then
area ratio = 2² : 5² = 4 : 25
Translate the triangle by
(-2
-4)
Translating the triangle using the vector [tex](^{-2}_{-4})[/tex] means translating 2 units left and 4 units down.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Translating the triangle using the vector [tex](^{-2}_{-4})[/tex] means translating 2 units left and 4 units down.
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1
Can you please help me with this question
When you have negative exponents, you flip it around. Let me give you two examples below.
[tex]x^{-5} = \frac{1}{x^{5} }[/tex]
[tex]10^{-2} = \frac{1}{10^{2} }[/tex]
Therefore you will be doing: [tex]\frac{4}{1} * \frac{1}{10^{2} } = \frac{4}{1} * \frac{1}{100} } = \frac{4}{100} = \frac{1}{25}[/tex]
Your final answer is 1/25.
Brainliest would make my day :)
G= -x^2 - 2xy - y^2
K= x^2 + 4y^2 + 4xy
H= 4x^2 - 12xy + 9y^2
L= 25 - 10 + y^2
M= 10y^4 + 25x^6 +y^8
Answer:
Step-by-step explanation:
I am assuming you want to factor these functions
G= -x^2 - 2xy - y^2
= -(x^2 + 2xy + y^2)
We need 2 terms whose product is y^2 and whose sum is +2xy
- they are + x and + y
= - (x + y)(x + y)
= -(x + y)^2
The other functions are worked out in the same way:
K = x^2 + 4y^2 + 4xy
= (x + 2y)(x + 2y)
= (x + 2y)^2
H = 4x^2 - 12xy + 9y^2
= (2x - 3y)^2
L= 25 - 10 + y^2
= (5 - y)^2
M = 10y^4 + 25x^6 +y^8
- this is prime (no factors)
What is the multiplicity of f(x) = -2x3(x + 2)2?
23. Which expression is NOT equivalent
to the expression 38 – 14?
A 2(19-7)
B 24
C (19-7)2
D 2(36-12)
Answer: [D] 2(36-12)
Step-by-step explanation:
First, we will simplify the given expression.
38 – 14 = 24
Now, we will see if the other expressions are equivalent or not.
[A] 2(19-7) = 24
[B] 24 = 24
[C] (19-7)2 = 24
[D] 2(36-12) = 48
The expression is NOT equivalent to the expression 38 – 14 is;
[D] 2(36-12)
Hi :)
Let's evaluate all these expressions
———————[tex]\boldsymbol{\boxed{38-14=24}}}[/tex]
So Now the question boils down to --
What expression is NOT equivalent to [tex]\boldsymbol{24?}[/tex]
Option (A).[tex]\boldsymbol{2(19-7)}[/tex]
[tex]\boldsymbol{2(12)}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.
Option (B)Well 24 is always equal to 24!
Option (C)[tex]\boldsymbol{(19-7)2}[/tex]
[tex]\boldsymbol{(12)2}[/tex]
[tex]\boldsymbol{24}[/tex]
Option (D)[tex]\boldsymbol{2(36-12)}[/tex]
[tex]\boldsymbol{2(24)}[/tex]
[tex]\boldsymbol{48}[/tex]
[tex]\tt{Learn\;More;Work\;Harder}[/tex]
:)
Find the horizontal asymptote of the function
A. none
B. x = 0
c.y=0
D.y = 1
Reset Selection
(x-1)(x-3)²(x+1)²
(x-2)(x+2)(x-1)(x+3)*
Horizontal asymptote y = 1.
What is meant by horizontal asymptote?A slant asymptote has a specific instance known as a horizontal asymptote. A "recipe" for locating a rational function's horizontal asymptote is as follows: Let deg D(x) and deg N(x) represent the degree of the denominator and the numerator, respectively. No horizontal asymptote exists.1) If the degree of the numerator is smaller than the degree of the denominator, the horizontal asymptote is y = 0. 2) The horizontal asymptote is y = c, where c is the ratio of the leading terms or their coefficients if the degree of the numerator and denominator are equal.The denominator of the function, n(x), can be used to find vertical asymptotes by solving the equation n(x) = 0 (note that this only works if the numerator, t(x), is not zero for the same x value). Find the function's asymptotes. The graph exhibits a vertical asymptote at x = 1.Find the horizontal asymptote of the function:
Horizontal asymptotes are the lines perpendicular to the y-axis and meet the curve at infinity.
Horizontal asymptote y = 1.
To learn more about Horizontal asymptotes, refer to:
https://brainly.com/question/4138300
#SPJ9
Find the value of sin J rounded to the nearest hundredth, if necessary.
12
13
K
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
What is the measure of the missing angle?The image attached aside shows us a right triangle with two known side lengths (JL, KJ) and a angle measure (m ∠ K). The measure of the missing angle can be found by using the trigonometric function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same positive sign than cosine as the angle is in the first quadrant on Cartesian plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
To learn more on trigonometric functions: https://brainly.com/question/6904750
#SPJ1
PLS HELP!!!!
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 27% of Carbon-14 as compared to a living sample. How old is the fossil?
Answer: 1547.10
Step-by-step explanation: Since you are not in a physics class, in which case requires the usage of the radioactive decay formula, definite integrals, and natural logarithms) but an Algebra class which deploys the usage of percentages, this should be rather simple.
I believe they want you to find 27% of the half life of Carbon-14 since it is below 50%. To find the percent of a number (in this case 27%), you multiply the number by 0.27.
5730 * 0.27 = 1547.10
Hope this helped! And if I'm wrong, please don't hesitate to correct me.
please help!
Amara needs 90 kilograms of meat to feed her 4 pet dragons each day. Each pet dragon eats the same amount of meat. How many kilograms of meat does Amara need to feed 2 pet dragons each day?
45 kilograms of meat is required to feed 2 pet dragons each day.
Amara needs 45 kilograms of meat to feed 2 pet dragons each day.
What is unitary method ?Unitary method is a mathematical way of deriving a single unit then obtaining the required units by multiplying it with the single unit.
According to the given question Amara needs 90 kilograms of meat to feed her 4 pet dragons each day.
Also given that each pet dragon eats the same amount of meat.
∴ 1 pet dragon eat 90/4 kilograms of meat which is
= 22.5 kilograms of meat.
So, Amara need (22.5×2) = 45 kilograms of meat to feet 2 pet dragons.
learn more about unitary method here :
https://brainly.com/question/21648365
#SPJ2
A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 record??
Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve
The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.
For given question,
We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.
We need to convert given parametric equations to a rectangular equation and sketch the curve.
Given parametric equations can be written as,
x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.
We know that the trigonometric identity,
sin²t + cos²t = 1
⇒ (x/2)² + (- y/3)² = 1
⇒ [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]
This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.
The rectangular equation is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]
The graph of the rectangular equation [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] is as shown below.
Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.
Learn more about the parametric equations here:
https://brainly.com/question/14289251
#SPJ4