Answer:
4x - y = 16
Step-by-step explanation:
y = 2(x – 3)2 - 4
When written in standard form, this will be the answer --->
4x - y = 16
Answer:
y = 2x² - 12x + 14
Step-by-step explanation:
The equation of a parabola in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL
= 2(x² - 6x + 9) - 4 ← distribute parenthesis
= 2x² - 12x + 18 - 4
y = 2x² - 12x + 14 ← in standard form
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
Jack made $25 on Monday by cutting the grass and $17 on Tuesday by raking leaves. How much more money does he need to earn if he wants to buy a video game that costs $60
Answer:
Step-by-step explanation:
the answer is 18 :)
The amount he needs to earn to buy the video game of 60 dollars is 18 dollars.
How to find the remaining cost to buy the game?Jack made 25 dollars on Monday by cutting the grass and 17 dollars on Tuesday by raking leaves. Therefore, the amount of money he needs to earn to buy a video game of 60 dollars can be calculated as follows:
He earns 25 dollars on Monday by cutting grass.
He also earns 17 dollars on Tuesday by raking leaves.
Therefore,
amount he needs to earn to buy a 60 dollars video game = 60 - 25 - 17
amount he needs to earn to buy a 60 dollars video game = 60 - 42
amount he needs to earn to buy a 60 dollars video game = 18 dollars
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145 millimeters, and a standard deviation of 6 millimeters. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by less than 0.5 millimeters
The probability that the sample mean would differ from the population mean by less than 0.5 millimeters is 0.3970.
Given mean diameter of 145 millimeters, standard deviation of 6 millimeters.
We have to find out the probability that the sample mean would differ from the population mean by less than 0.5 millimeters.
μ=145 and ,σ=60 ,n=39 then
s=60/\(\sqrt{39}\)=0.96
By finding the probability that the sample mean would differ by less than 0.5 mm equal to p value of Z when X=145+0.5=145.5 mm subtracted by the p value of Z when X==145-0.5=144.5 mm.
When X=145.5 mm
Z=(X-μ)/σ
By central limit theorem
Z=(145.5-145)/5
=0.5/0.96
=0.52
p value of 0.52=0.6985.
When X=144.5
Z=(144.5-145)/0.96
=-0.5/0.96
=-0.52
p value of -0.52=0.5-0.1985=0.3015
Required probability=0.6985-0.3015=0.3970.
Hence the probability that the sample mean would differ from the population mean by less than 0.5 mm is 0.3970.
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One side of a triangle has length twice that of another side, and the third side has length 6. If one angle of the triangle is 120°, then determine the possible values of the lengths of the sides of the triangle
Let's denote the lengths of the sides of the triangle as a, b, and 6, where side b is twice the length of side a.
According to the given information, we have the following relationships:
b = 2a (side b is twice the length of side a)
c = 6 (the third side has length 6)
To determine the possible values of the lengths of the sides, we can apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Applying the triangle inequality to our triangle, we get the following inequalities:
a + b > c
a + 2a > 6
3a > 6
a > 2
b + c > a
2a + 6 > a
a > -6 (This inequality doesn't provide any meaningful information as lengths cannot be negative.)
a + c > b
a + 6 > 2a
6 > a
Combining the inequalities, we find that 2 < a < 6.
Since side b is twice the length of side a, we have 4 < b < 12.
Therefore, the possible values of the lengths of the sides of the triangle are:
2 < a < 6
4 < b < 12
c = 6
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11. Which of the following sequences
are arithmetic? Select all that
apply.
A. 4, 1, -2, -5, -8,...
B. 9, 10, 11, -12, ...
C. 1.0, 1.2, 1.4, 1.6, ...
D. 1,1 1 1
Answer:A,B,C
Step-by-step explanation:
a because your subtracting 3 each time
b because 9+2 is 11 -10+-12 is 2
and c because your adding 2 tenths each time
gabriel has 268 miniture trains.he lines them up in 2 equal rows. how many trains are in each row
Answer:
134
Step-by-step explanation:
268/2=134
since its equal both rows should have the same number.
How can you compare and order rational and irrational number
Answer:
In the given numbers, one of them is rational while other one is irrational. To make the comparison, first make the given irrational number into rational number and then carry out the comparison. So, square both the given numbers.
answer
To compare rational and irrational numbers, you must first find rational approximations of the irrational numbers. You can approximate irrational numbers using perfect squares or by rounding.
I need help plz answer this
Answer: A. (5)(5x+2y)
Step-by-step explanation:
5y + 3= 14
pleaseeeee help
Answer:
5y + 3= 14
subtract 3 from each side
5y=11
divide each side by 5
5y/5=11/5
y=11/5 or 2.2 or 2 1/5
Hope This Helps!!!
Answer:
2.2
Step-by-step explanation:
Properties needed:
Subtraction Property of EqualityDivision Property of Equality
First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.
5y + 3 = 14
-3 -3
5y = 11
Then we need to divide 5 from both sides (division property of equality) to get y.
\(\frac{5y}{5} = \frac{11}{5}\)
And we get 2.2
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I hope this helps!
Have a great day!
Which of the following is an example of the associative property of multiplication?
A) 7 · (3 · 5) = (7 · 3) · 5
B) 7 · 1/7 = 1
C) 7 · (3 · 5) = 7 · (5 · 3)
D) 7 · (3 + 5) = 21 + 35
(1 point) college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected student
Probability Theory
P (K) =\(\frac{n (K) }{n (S)}\)
P(K) : probability of selected K
n (K) : number of occurence of K
n (S) : number of all occurence
In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :
n (A) : the number of occurence of students who curry a gun
n (B) : the number of occurence of students who curry a knife
n (C) : the number of occurence of students who curry other weapon
and the number of all students is n ( A U B U C) -> union of sets
how many randomly selected student? in question, there is no specific about the student. so, we can answer with :
1) probability of students who curry a gun
P (A) = \(\frac{n (A) }{n (AUBUC)}\)
2) probability of students who curry a knife
P (B) = \(\frac{n (B) }{n (AUBUC)}\)
3) probability of students who curry other weapon
P (C) = \(\frac{n (C) }{n (AUBUC)}\)
and if question want to estimate with percentage, we can multiply with 100%. example :
1) percentage of probability of students who curry a gun
P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%
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Evaluate the expression if a =
- 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
4a - |3b + 2cl
Answer:
-13
Step-by-step explanation:
expression =4a-|3b+2c|
subtitute all values in the expression:
=4(-2) -|3(-3)+2(2)|
=-8-|-9+4|
=-8-|-5|
=-8-(5)
=-8-5
=-13
Note:if you need to ask any question please let me know.
The value of the expression from the variables is -13
How to evaluate the expression from the variablesFrom the question, we have the following parameters that can be used in our computation:
4a - |3b + 2cl
Also, we have
a = - 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
substitute the known values in the above equation, so, we have the following representation
4a - |3b + 2cl = 4 * -2 - |3 * -3 + 2 * 2|
Evaluate
4a - |3b + 2cl = -13
Hence, the expression from the variables is -13
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HELP PLEASE!!! 100 POINTS!!
Answer:1,3,4,6 are ploymorial
Step-by-step explanation: Its pretty easy, the short ones and the ones with fractions are non.
Answer:
1,3,4,6 are ploymorial
Step-by-step explanation:
Rewrite as a simplified fraction.3.16
The decimal number 3.16 in the form of the simplest fraction is 79/25.
The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.
Consider the decimal number,
Let x = 3.16
Then,
x = 3.16 = 316/100
The fraction then can be simplified as,
x = ( 158 × 2)/ (50 × 2)
x = 158/50
x = ( 79 × 2)/ ( 25 × 2 )
x = 79/25
Hence, the number 3.16 in the simplest fraction is 79/25.
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need help please!!!!!!
Answer:
b. MNL, NPM, and LMP
Explanation:
Since the rest of the choices include a no-M-point arc, choice b is the most reasonable.
Answer:
Option B
Step-by-step explanation:
In Option B, All the arcs contain the point M and all of them are major arcs. While in other options, there are some minor arcs as well as those arcs which don't contain the point M.
help
Use the diagram to complete the statement.
m∠ECF=
Answer:
37°
Step-by-step explanation:
Angle ECF is vertical to angle ACG, so has the same measure. Angle ACG is the second acute angle in right triangle ACG, so is complemetary to angle CAG. It has measure ...
∠ECF = ∠ACG = 90° -∠CAG = 90° -53°
∠ECF = 37°
when computing the correlation coefficient, what is the effect of changing the order of the variables on r?
Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.
The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.
Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.
That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.
Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.
The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.
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Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)
The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2
where (h, k, l) represents the center of the sphere and r represents the radius.
First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:
√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]
Simplifying, we get:
√[1 + 25 + 4] = √30
Therefore, the radius of the sphere is √30.
Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30
So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
This equation represents all the points on the sphere's surface.
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find the exact value of the expression, if possible.arcsin[sin(9π/4)]
The exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.
Step-by-step explanation:
We know that the range of the arcsine function is from -π/2 to π/2.
Now, let's evaluate sin(9π/4). Since one full rotation is equal to 2π radians, we can subtract 2π radians from 9π/4 until we get an angle between 0 and 2π.
9π/4 - 2π = π/4
So, sin(9π/4) is equal to sin(π/4).
Now, we know that sin(π/4) = 1/√2.
Therefore, we can evaluate the given expression as:
arcsin[sin(9π/4)] = arcsin[sin(π/4)]
= arcsin[1/√2]
The arcsine of 1/√2 is equal to π/4 or 45°, since the sine is positive in the first and second quadrants.
Hence, the exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.
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Select ALL of the trinomials.
x^2+3
x-4
x^4-2x+1
x^4+x^3+2x+5
ax^2+bx+c
The trinomials is x^4-2x+1 and ax^2+bx+c.
What is trinomials?
An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.
Selecting all of the trinomials:
\(x^4-2 x+1\)
Use the rational root theorem
\(=(x-1) \frac{x^4-2 x+1}{x-1}\)
\(\begin{aligned}& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)
This is a trinomials.
ax^2+bx+c
This is a trinomials.
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The trinomials is x^4-2x+1 and ax^2+bx+c.
What is trinomials?
An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.
Selecting all of the trinomials:
x^4-2 x+1
Use the rational root theorem
\($$\begin{aligned}& =(x-1) \frac{x^4-2 x+1}{x-1} \\& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)
This is a trinomials.
ax^2+bx+c
This is a trinomials.
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Un agente de ventas compra un automóvil que promediaba 40 Km/gal. En la ciudad y 64 Km/gal. En carretera, según la publicidad. En un viaje reciente de negocios, utilizó 51 galones de combustible para recorrer 2,880 kilómetros. Si suponemos que el anuncio del rendimiento del combustible es correcto, ¿Cuántos kilómetros recorrió en la ciudad?
Respuesta: 640 millas
Explicación paso a paso:
Dado lo siguiente:
Eficiencia de combustible :
Ec = 40 km / gal
Er = 64 km / gal
Distancia en la ciudad (Dc)
Distancia en carretera (Dr)
Si la distancia recorrida = 2880 km
Es decir :
Dc + Dr = 2880 km
Dc = (2880 - Dr) - - - - - 1
Consumo (c) = 51 galones
Por lo tanto,
Dc / Ec + Dr / Er = c - - - - (2)
Sustituir 1 en 2
(2880 - Dr) / Ec + Dr / Er = c
2880 / Ec - Dr / Ec + Dr / Er = c
Dr / Er - Dr / Ec = c - 2880 / Ec
Dr (1 / Er - 1 / Ec) = c - 2880 / Ec
Dr = c - (2880 / Ec) / (1 / Er - 1 / Ec) - - - (3)
Sustituyendo por c = 51, Er = 64 y Ec = 40 en la ecuación 3
Dr = 51 - (2880/40) / (1/64 - 1/40)
Dr = 51-72 / (0.015625 - 0.025)
Dr = - 21 / - 0.009375
Dr = 2240 millas
Pero Dr + Dc = 2880
2240 + Dc = 2880
Dc = 2880 - 2240 = 640 millas
HELP ASAP!!!!NO LINKSSS!!!!
How many circles of radius 1 inch could fit in a circle with radius 5 inches (if you could rearrange the area of the smaller circles to completely fill the larger circle)?
A grocery store chain introduces a new brand of cereal in several of its stores. The function B(w)=120w150+w2 for w≥0 models the number of boxes, B, in thousands, of the cereal sold after w weeks. The graph of this function is shown below.
Select the THREE true statements regarding the graph of B(w).
A
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
B
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 1,250 weeks.
C
Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
D
Based on the asymptote of the function, the number of boxes of cereal sold will never fall below 800 after reaching the maximum.
E
Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
The THREE true statements regarding the graph of B(w) are;
A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.
C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.
E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.
How to Interpret Quadratic Graph?
We are given the graph represented by the quadratic function;
B(w) = 120w/(150 + w²) for w ≥ 0 that models;
the number of boxes, B, in thousands, of the cereal sold after w weeks
From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct
Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct
Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.
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geometry?????? help please
Answer:
74 degrees
Step-by-step explanation:
180-59-47=74
If m=65h then what would the constant of proportionality be?
Answer:
I have 72 baes but they don't love me
Answer:
it is helping to ensure
Mt. Everest is considered the tallest mountain in the world at 8,848 meters above sea level. In fact, the largest mountain in the world is Mauna Loa, in Hawai’i. Mauna Loa rises 4,170 meters from sea level to the top of the summit, but its base is deep under water. The base of the mountain is at −5,000 meters.A probe is dropped 7,500 meters straight down into Mauna Loa from its summit.
Answer:
bro this is answer or questions
Step-by-step explanation:
can u repeat at short
If y’all in 6 grade help each other out with the answer
Answer:
You got it, I have been busy and I am glad to see someone feeling the same way as me!
Answer:
what the question
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME JIMIN WILL BLESS YOU IF YOU DO
Answer:
see explanation
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus
7x - 7 = 5x + 3 ( subtract 5x from both sides )
2x - 7 = 3 ( add 7 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
(b)
∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°
(c)
∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°
(d)
∠ WXZ = ∠ WXY + ∠ YXZ = 28° + 28° = 56°
Answer:
hello fellow army
Step-by-step explanation:
The square below represents one whole.
What percent is represented by the shaded area?
Pls
adding fractions with unlike denominators worksheets
The simplification of the addition of two or more fraction with unlike denominator is:
Convert the denominator with like terms and then add the numerators.
Method of simplification of addition of fraction with unlike denominator is:
Calculate the least common multiple of all the denominator of unlike fraction.Convert the denominator of the fraction with like terms.Now add the numerator of the given fraction.Example : ( 1 / 2) + ( 3 / 5 )Least common multiple of 2 and 5 is 10.Multiply by ( 5 / 5) to ( 1/ 2) which is equal to ( 5 / 10 ).Multiply ( 2/ 2 ) to ( 3 /5 ) we get ( 6 /10).Add like fraction ( 5/10) + ( 6 /10) = ( 5+ 6 ) /10Result is 11 /10.Therefore, to simplify unlike fractions find least common multiple and add the like fractions.
The given question is incomplete, I answer the question in general according to my knowledge:
Simplification of adding fractions with unlike denominators with example?
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