Hey there! :)
Answer:
The bag is cheaper because one litre is roughly $1.00, compared to the carton which is $1.99 for one litre.
Step-by-step explanation:
Given:
Bag of 4 litre milk = $3.99
Carton of 1 litre milk = $1.99
Find the price per litre for a bag of milk:
[tex]\frac{3.99}{4} = \frac{x}{1}[/tex]
Cross multiply:
3.99 = 4x
Divide both sides by 4:
3.99/4 = x.
x = 0.9975 ≈ $1.00
Bag of 1 litre milk ≈ $1.00
Carton of 1 litre milk = $1.99
$1.00 < $1.99
Therefore, the bag is cheaper.
An object is launched directly in the air speed of 16 feet per second from a platform located 5 feet above the ground. The position of the object can be modeled using the function f(x)=-16t^2+16t+5, where t is the time of seconds and f(t) is the height of the object. What is the maximum height in feet that the object will reach?
Answer:
The maximum height that the object will reach is of 9 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
In this question:
[tex]f(t) = -16t^{2} + 16t + 5[/tex]
So
[tex]a = -16, b = 16[/tex]
The instant of the maximum height is:
[tex]t_{v} = -\frac{16}{2*(-16)} = 0.5[/tex]
The maximum height is:
[tex]f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9[/tex]
The maximum height that the object will reach is of 9 feet.
Answer:
24
Step-by-step explanation:
Help?????????????????????
Answer:
no
Step-by-step explanation:
your answer is correct
we have more than one y for one x.
then it's not a function
Match each correlation coefficient, r, to its description.
r = −0.08
r = −0.83
r = 0.96
r = 0.06
1.) strong negative correlation
2.) weak positive correlation
3.) weak negative correlation
4.) strong positive correlation
The answers are in order
r = −0.08 --> weak negative correlation
r = −0.83 --> strong negative correlation
r = 0.96 --> strong positive correlation
r = 0.06 --> weak positive correlation
The match of each correlation is given by,
r = −0.08 implies a weak negative correlation
r = −0.83 implies a strong negative correlation
r = 0.96 implies strong positive correlation
r = 0.06 implies weak positive correlation.
We have given that,
The correlation coefficient, r, to its description.
A B
r = −0.08 strong negative correlation
r = −0.83 weak positive correlation
r = 0.96 weak negative correlation
r = 0.06 strong positive correlation
We have to match the given relation
What is the positive and negative correlation?If the correlation coefficient is greater than zero, it is a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.
So the correct match is,
r = −0.08 implies a weak negative correlation
r = −0.83 implies strong negative correlation
r = 0.96 implies strong positive correlation.
r = 0.06 is implies weak positive correlation.
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You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages. You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.x1 = Runs Score/Times at Batx2 = Doubles/Times at Batx3 = Triples/Times at Batx4 = Home Runs/Times at Batx5= Strike Outs/Times at BatEstimate the Batting Average when Run Score = 0.123, Doubles = 0.040, Triples = 0.0045 , Home Runs = 0.009 and Strike Outs = 0.189DATA:Batting Average RS/Times at Bat Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat0.283 0.144 0.049 0.012 0.013 0.0860.276 0.125 0.039 0.013 0.002 0.0620.281 0.141 0.045 0.021 0.013 0.0740.328 0.189 0.043 0.001 0.03 0.0320.29 0.161 0.044 0.011 0.07 0.0760.296 0.186 0.047 0.018 0.05 0.0070.248 0.106 0.036 0.008 0.012 0.0950.228 0.117 0.03 0.006 0.003 0.1450.305 0.174 0.05 0.008 0.061 0.1120.254 0.094 0.041 0.005 0.014 0.1240.269 0.147 0.047 0.012 0.009 0.1110.3 0.141 0.058 0.01 0.011 0.070.307 0.135 0.041 0.009 0.005 0.0650.214 0.1 0.037 0.003 0.004 0.1380.329 0.189 0.058 0.014 0.011 0.0320.31 0.149 0.05 0.012 0.05 0.060.252 0.119 0.04 0.008 0.049 0.2330.308 0.158 0.038 0.013 0.003 0.0680.342 0.259 0.06 0.016 0.085 0.1580.358 0.193 0.066 0.021 0.037 0.0830.34 0.155 0.051 0.02 0.012 0.040.304 0.197 0.052 0.008 0.054 0.0950.248 0.133 0.037 0.003 0.043 0.1350.367 0.196 0.063 0.026 0.01 0.0310.325 0.206 0.054 0.027 0.01 0.0480.244 0.11 0.025 0.006 0 0.0610.245 0.096 0.044 0.003 0.022 0.1510.318 0.193 0.063 0.02 0.037 0.0810.207 0.154 0.045 0.008 0 0.2520.32 0.204 0.053 0.017 0.013 0.070.243 0.141 0.041 0.007 0.051 0.2640.317 0.209 0.057 0.03 0.017 0.0580.199 0.1 0.029 0.007 0.011 0.1880.294 0.158 0.034 0.019 0.005 0.0140.221 0.087 0.038 0.006 0.015 0.1420.301 0.163 0.068 0.016 0.022 0.0920.298 0.207 0.042 0.009 0.066 0.2110.304 0.197 0.052 0.008 0.054 0.0950.297 0.16 0.049 0.007 0.038 0.1010.188 0.064 0.044 0.007 0.002 0.2050.214 0.1 0.037 0.003 0.004 0.1380.218 0.082 0.061 0.002 0.012 0.1470.284 0.131 0.049 0.012 0.021 0.130.27 0.17 0.026 0.011 0.002 00.277 0.15 0.053 0.005 0.039 0.115Possible Answers:A. 0.223B. 0.057C. 0.043D. 0.229
Answer:
The estimated value of the Batting Average is 0.229.
Step-by-step explanation:
In this case regression analysis is to performed to determine if there is a significant linear relationship for Batting Averages with Runs Score, Doubles, Triples, Home Runs and Strike Outs.
The independent and dependent variables are as follows:
y = Batting Averages
x₁ = Runs Score/Times at Bat
x₂ = Doubles/Times at Bat
x₃ = Triples/Times at Bat
x₄ = Home Runs/Times at Bat
x₅= Strike Outs/Times at Bat
The regression analysis can be performed in Excel.
Consider the regression output attached.
The regression equation is as follows:
[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]
Now estimate the Batting Average when Run Score (x₁) = 0.123, Doubles ( x₂) = 0.040, Triples (x₃) = 0.0045 , Home Runs ( x₄) = 0.009 and Strike Outs (x₅) = 0.189 as follows:
[tex]y=0.183+0.447x_{1}+0.991x_{2}+0.622x_{3}+0.274x_{4}-0.285x_{5}[/tex]
[tex]=0.183+(0.447\cdot 0.123)+(0.991\cdot 0.040)+(0.622\cdot 0.0045)\\+(0.274\cdot 0.009)-(0.285\cdot 0.189)\\\\=0.229021\\\\\approx 0.229[/tex]
Thus, the estimated value of the Batting Average is 0.229.
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000586 mm. Assume a random sample of 59 sheets of metal resulted in an x¯ = .2905 mm. Calculate the 95 percent confidence interval for the true mean metal thickness.
Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
11) BRAINLIEST & 10+ POINTS!
Answer:
-125°
235°
Step-by-step explanation:
Coterminal Angles are angles which share the same initial side and terminal sides.-----
-845°= -2*360° - 125°
-125°
------
-845°= -3*360° + 235°
+235°
Draw an array to find 21÷3
Answer:
21÷3 =9
3×9=21
Therefore the answer is 9 .
Step-by-step explanation:
Hope it works out!½y + 4z = x solve for y
Answer:
[tex]y = 2x - 8z[/tex]
Step-by-step explanation:
1/2 y + 4z = x
1/2y = x - 4z
y = 2 (x-4z)
y = 2x - 8z
Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.
Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.
Pedro Dropdown 2: One, Zero, Infinitely many
Amy Dropdown: is, is not
Matt Dropdown 1: Sometimes, Never, Always
Matt Dropdown 2: One, Zero, Infinitely Many
Answer:
Pedro Dropdown 1: they Do not Intersect, they Are the same line
Step-by-step explanation:
3y = 6x + 6
y = 2x + 2
3y-6x = 6... Equation one
y-2x = 2... Equation two
Dividing equation one by 3 gives
Y -2x = 2. Which is same thing with equation 2
So I think the two are same line and do not intersect.
Answer:
Pedro: are the same line, infinitely many
Amy: is
Matt: always, infinitely many
Step-by-step explanation:
PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.
AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.
MATT: When the equation 3y = 6x + 6 is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.
Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)
Answer:1.8(x -1)
2.0.4a -7
Step-by-step explanation:
A company determined that the marginal cost, Upper C prime (x )of producing the xth unit of a product is given by Upper C prime (x )equalsx Superscript 4minus2x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $6000.
Answer:
C(x) = 0.2x^5 - x^2 + 6000
Step-by-step explanation:
Given in the question are restated as follows:
Marginal cos = C'(x) = x^4 - 2x ...................... (1)
Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.
Therefore, TC can be obtained by integrating equation (1) as follows:
C(x) = ∫C'(x) = ∫[x^4 - 2x]dx
C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)
Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:
C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)
Equation (3) is the total cost function C.
Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 13 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
Step-by-step explanation:
this isn't much I think so this isn't plus how come everything in March
An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the point (0,negative 4). Express the bearing using both methods.
Answer:
Step-by-step explanation:
I can help
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.
Answer:
Step-by-step explanation:
The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as
Perimeter = 1/2 × 2πr = πr
Since radius, r = 3, then
Perimeter of semi circle = 3 × 3.14 = 9.42 inches
Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches
Area of semi circle = 1/2 × πr²
Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²
Area of triangle = 1/2 × base × height
Area of triangle = 1/2 × 6 × 4 = 12 inches²
Area of composite shape = 14.13 + 12 = 26.13 inches²
The perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesRecall:
Area of a circle = πr²
Perimeter of circle = 2πr
Area of triangle = 1/2(bh)
The composite shape given is composed of a triangle and a semicircle.
Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle
Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches
Area of the composite shape = area of semicircle + area of triangle
Area = 1/2(3.14 × 3²) + 1/2(6 × 4)
Are = 14.13 + 12
Area of the composite shape = 26.13 square inches.
Therefore, the perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesLearn more about area and perimeter of composite shapes on:
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A person who yells at an official who made a bad call is just displaying a competitive spirit. Please select the best answer from the choices provided. T F
Answer:
the answer is false
Step-by-step explanation:
FALSE. A person who yells at an official is not showing a competitive spirit.
What is a Competitive Spirit?A competitive spirit shows the following attributes:
Communicates respectShows sportsmanshipValues process among others.A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.
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When a number is added to of itself, the result is 24. The equation that models this problem
What is the value n?
n = 18
n = 20
n=217 4/5
n=237 4/5
Answer:
20
Step-by-step explanation:
n=20 it is that answer
Answer:
20
Step-by-step explanation:
20 is equal to n
What measurement is a perfect square
Answer:
The area of a rectangle with length of 5 and width of 5.
Step-by-step explanation:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.
area = lxw
A=5x5 (5 times itself)
A=25
therefore it is a perfect square
b I just did the unit test review this morning
What the answer fast
Answer:
∠CDE
Step-by-step explanation:
Name it by the order of the letters with the point of the angle in the middle
Unknown angle problems
Answer: x =40
Step-by-step explanation:
x +x +100 = 180 They form a straight line so they add to 180 degrees.
2x + 100 = 180 solve for x by combining like terms
-100 -100 subtract 100 from both sides
2x = 80 Divide both sides by 2
x =40
Answer:
x might be 40°.
Step-by-step explanation:
angle on a straight line =180°
x+100+x =180
2x =180-100
2x=80
2x/2=80/2
x=40°
I NEED HELP PLEASE, THANKS! :)
Answer: G ∩ M = {Anael, Max}
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Step-by-step explanation:
intersection ∩ - items found in BOTH sets
union U - the joining of the sets. include EVERYTHING in the sets.
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Anael, Barek, Bay, Carlin, Kai, Max}
G ∩ S: Anael and Max are found in both sets
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Acton, Anael, Barek, Carlin, Dario, Kai}
G U S: include everything in G and everything in S. If found in both sets, only list it once.
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Notice that Acton and Anael are in both sets but we only list them once.
Please answer this correctly
The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988
Explanation:
In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.
Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)
What is the length of MO, given that figure LMNO is a square?
Answer:
8
Step-by-step explanation:
putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8
The length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
What is the diagonal of a square?The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.
In the given image, the length figure LMNO represent a square, The length of the LM is,
[tex]LG=4\rm \; units[/tex]
In the image, point G is the intersection point of the diagonal of the square.
As the diagonals of the square bisect each other at the intersection point. The length of LN is,
[tex]LN=2\times LG\\LN=2\times4\\LN=8[/tex]
The length of both the diagonals of the square is equal in length. Thus,
[tex]MO=LN\\MO=8[/tex]
Hence, the length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
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HELP! WILL GIVE BRAINLIEST!
Answer:
(2x+16) + (x) = 180
Step-by-step explanation:
The opposite angles of a quadrilateral inscribed inside a circle will be supplementary angles, meaning that A+C=180, and B+D=180. A+C is not given in the answers below, but B+D is, so that is the correct answer.
Hope this helps! Please give brainliest!!
Answer:
C
Step-by-step explanation:
Opposite angles of a quadrilateral are supplementary
At the end of 2019, Mark owes $250,000 on the mortgage related to the 2016 purchase of his residence. When his daughter went to college in the fall of 2019, he borrowed $20,000 through a home equity loan on his house to help pay for her education. The interest expense on the main mortgage is $15,000, and the interest expense on the home equity loan is $1,500. How much of the interest is deductible as an itemized deduction?
Answer:
$15,000
Step-by-step explanation:
The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.
However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.
Only the $15,000 main mortgage interest can be an itemized deduction.
PLEASE ANSWER FAST, THANKS! :)
Answer:
Step-by-step explanation:
k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8
k = 4; 2k + 2 = 2*4 + 2 = 8 +2 = 10
k =5; 2k + 2 = 2*5 +2 = 10+2 = 12
k=6; 2k +2 = 2*6 + 2 = 12+2 = 14
k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16
k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18
∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78
Equations and Functions
Answer:
Subtract the 2w to both sides of the equal sign.
Step-by-step explanation:
Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.
what is the gfc of 16 and 8
Answer:
Greatest common factor of 16 and 8 is 8 .....a quadrilateral must be a parallelogram if one pair of opposite sides is:
Answer:
A
Step-by-step explanation:
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
Option C is the correct answer.
We have,
In a quadrilateral, if one pair of opposite sides are parallel and equal in length, then the quadrilateral must be a parallelogram.
This is one of the properties of parallelograms.
This also means,
One pair of opposite sides is congruent and parallel.
Thus,
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
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Which expression represents the phrase 4 times the sum of 9 and 6
A. 4x (9+6)
B.4x 9+6
C.9+ 6x4
D. 9+ (6x4)
Answer:
The answer is option A
4 x ( 9 + 6)
Hope this helps you
What is equation created from the sqrt(x+2)+2))^2
Answer:
x + 4√(x + 2) + 6
Step-by-step explanation:
All we need to do is expand by using FOIL (First, Outside, Inside, Last):
x + 2 + 2√(x + 2) + 2√(x + 2) + 4
Then we combine like terms to get our final answer:
x + 2 + 4√(x + 2) + 4
x + 4√(x + 2) + 6