\(y=2\frac{2}{3}+16\) is the answer as it passes perpendicular and through point A
Irene finds the mass of her basketball is 587 grams and her baseball is 145 grams.
How much greater is the mass of the basketball than the baseball?
grams
What is required of a proportional relationship that is not required of a general line relationship?
Answer:
Step-by-step explanation:
Pertains to y-intercept is then 0.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)
Help ASAP please :))
Image attached
3/4 divided by 7 is ___
Answer:
the answer is 3/28
Step-by-step explanation:
find the location of the midpoint of AB, given A(-8,-6) and B(-2,10)
Answer:
(- 5, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
Here (x₁, y₁ ) = A(- 8, - 6) and (x₂, y₂ ) = B(- 2, 10) , thus
midpoint = ( \(\frac{-8-2}{2}\) , \(\frac{-6+10}{2}\) ) = (\(\frac{-10}{2}\) , \(\frac{4}{2}\) ) = (- 5, 2 )
The lower and upper estimates of a car coming to a stop six seconds after the driver applies the brakes are as follows: Lower estimates = 122 Upper estimates = 298 Question: On a sketch of velocity against time, show the lower and upper estimates.
These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)
To sketch the velocity against time, you can take the following steps:
First, calculate the acceleration using the given data by using the formula;
acceleration = (final velocity - initial velocity)/time
Where; Initial velocity is the velocity before applying the brakes
Final velocity is the velocity at which the car comes to stop
Time is the time it takes to stop the car (6 seconds in this case)
Now, calculate the lower and upper estimates using the formula;
Lower estimate = initial velocity + (acceleration x time)
Upper estimate = initial velocity + (2 x acceleration x time)
Sketch the graph using the following steps;
On the vertical axis, plot the velocity of the car
On the horizontal axis, plot the time
Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)
Now, draw two more lines, one with the lower estimate and the other with the upper estimate
Finally, label the axes and the lines with their corresponding values.'
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on a certain day the community took 82 people on whale watching trips there were 54 children ages 12 and under of which some children were under 3 years if x represents the number of children under 3 years which equation can be used to find the value of x where C represents the total amount of money collected from tickets that day
Info given
We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years
We define x as the number of children under 3 years.
We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.
Solution:
\(C=C_1(54-x)+C_2(82-54)\)With C the total amount collected and C1 and C2 described above.
What would this image look like after a reflection over ×-axis followed by a reflection in the y-axis?
In order to identify the reflection we use the y-axis as a mirror, this means that the distance for every point needs to be equal from the left to the right,
Compare and contrast the attributes of a square and a rhombus
Answer:
They both have edges
Step-by-step explanation:
I will give you BRAINLIEST for the correct answer
Answer:
d
Step-by-step explanation:
A consumer watchdog organization estimates the mean weight of 1-ounce "Fun-Size"
candy bars to see if customers are getting full value for their money. A random sample
of 25 bars is selected and weighted, and the organization reports that a 95% confidence
interval for the true mean weight of the candy bars is 0.982 to 0.988 ounces.
a) What is the point estimate (=sample mean) from this sample?
b) What is the margin of error?
(Hint: find the distance between the sample mean and the upper limit).
c) Interpret the confidence level of 90% in the context of the problem?
Point estimate from the sample is 0.985, margin error is 0.003.
What is Confidence Interval?Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.
(a) To calculate point estimate or sample mean :
Point estimate is the mid point of the confidence interval.
Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.
Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985
(b) Margin error is the one half of the total width of the interval.
Margin error = (0.988 - 0.982) / 2 = 0.003
(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.
Hence the point estimate and margin error are 0.985 and 0.003 respectively.
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mathew pushes a sled that weighs 200 lbs with 400 newtons. james is mathew's identical twin and pushes a tree stump weighing 200 lbs with the same 400 newtons. who is exerting more force?
Both Mathew and James are exerting the same amount of force, which is 400 newtons.
Determine the force?Force is a measure of the interaction between two objects and is expressed in newtons (N). In this case, both Mathew and James are exerting a force of 400 newtons. The weight of the sled and the tree stump, both weighing 200 lbs, does not affect the force exerted by Mathew and James.
The weight of an object is the force exerted on it due to gravity. In this context, the weight of the sled and the tree stump is the same, 200 lbs. However, when comparing forces, we consider the amount of force applied by an individual, which is independent of the weight of the object being pushed or lifted.
Therefore, Mathew and James are exerting the same amount of force, which is 400 newtons.
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800 pine trees, but a disease is introduced that kills a fourth of the pine trees in the forest every year. write a function
The correct function is,
⇒ y = 800(3/4)ˣ .
Given that:
A forest has 800 pine trees, a disease is introduced that kills a fourth of the pine trees in the forest every year
Here, Initial number of trees = 800
And, one fourth of trees gets killed every Year = (1/4) x 800
Remaining Trees = 800 - (1/4)(800) = 800(3/4)
Next year trees Left = 800(3/4)(3/4) = 800(3/4)²
Hence, Function is,
y = 800(3/4)ˣ .
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Please answer with the work shown
The perimeter first figure that is made of a square and equilateral triangle is 52 cm.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.
A square's most significant qualities are
The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.The diagonal of a square is divided into two isosceles triangles.
Square area=(side)²
Square perimeter=4*side
Now,
For first figure given that
sides of square are 14 cm in length
and length of side of equilateral triangle are=5 cm
but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.
So, perimeter=3*14+2*5
=42+10
=52 cm
hence,
The perimeter first figure 52 cm.
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What is the solution to this system of equations?
Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
Serenity is going to invest in an account paying an interest rate of 4.4% compounded continuously. How much would Serenity need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 11 years?
Serenity is going to invest in an account paying an interest rate of 4.4% compounded continuously therefore Serenity would need to invest $400 to the nearest hundred dollars, for the value of the account to reach $670 in 11 years.
This is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
We can solve the problem by :
1+(0.044÷365)= 1.0001205479
Yearly impounding factor, 1.0001205479^365=1.0449795838
For a period of 11 years, maturity factor,1.0449795838^11 = 1.6225043167.
$1 becomes $1.6225043167.
If Maturity value is to be,$670 which is amount to be invested,
670÷ 1.6225043167 = 412.942
To the nearest 100 dollars is $400.
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statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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1. Evaluate
A
B
C
D
a=bh/2
Answer:
the area A of a triangle is given by the formula A=1\2 bh where b is the base and h is the height : solve the formula for the height.
1 answer
·
Top answer:
A=1/2 bh multipy 2 at both side of the equation 2A = bh divide b at both side , then we will get h h = 2A/b
Step-by-step explanation:
2
3
15
Is the unknown value in 3
15
the same as the unknown value in z
Part 1 out of 2
The unknown value in both ratios ?
the same.
Check
Next
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If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air . what is the speed of the wind?
pleaseeee helpp asap
The binomial distribution is characterized by situations that are analogous to?
a. counting defects on an item.
b. measuring the length of an item.
c. coin tossing.
d. drawing balls from an urn.
Option c, coin tossing is a binomial distribution that is characterized by scenarios and is equivalent.
Tossing a coin- There are a finite number of trials, with the chance of success and failure set for each trial. The probability of receiving a 'head' or a 'tail' on any toss is unaffected by the subsequent and prior tosses. As a result, the distribution is Binomial.
The length of a measured item has a uniform distribution, pulling balls from an urn has a hypergeometric distribution, and counting flaws has a Poisson distribution. As a result, d is the right answer.
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Simplify and explain (step by step)
Answer:
3u⁵
Step-by-step explanation:
\(\sqrt[3]{27}\sqrt[3]{u^{15}}=3u^5\)
tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by where is the time in years and is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
(a) The height after t years is given by: h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are 54 centimeters tall when they are sold.
To solve this problem, we need to integrate the given differential equation dh/dt = 1.5t + 5 with respect to t to obtain an expression for h in terms of t. Then we can use this expression to answer the questions asked.
Integrating both sides of the equation with respect to t, we get
∫dh = ∫(1.5t + 5) dt
h = 0.75t^2 + 5t + C
where C is the constant of integration. To find C, we use the initial condition that the seedlings are 12 centimeters tall when planted, i.e., h(0) = 12. Substituting t = 0 and h = 12 in the above equation, we get
12 = 0.75(0)^2 + 5(0) + C
C = 12
Therefore, the expression for h in terms of t is
h = 0.75t^2 + 5t + 12
(a) To find the height after t years, we simply substitute the value of t in the above equation
h(t) = 0.75t^2 + 5t + 12
(b) The shrubs are sold after 6 years of growth and shaping. Therefore, we need to find h(6) to determine their height at the time of sale
h(6) = 0.75(6)^2 + 5(6) + 12
= 54 cm
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The given question is incomplete, the complete question is:
Tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by dh/dt = 1.5t + 5 where t is the time in years and h is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?
Consider the function f(x,y) = 8x3 + y3 - 6xy + 2 a.) Find the critical points of the function. b.) Use the Second Derivative Test to classify each critical point as a local maximum, local minimum, or a saddle point.
The critical points are (0, 0) and (1/2, 1/8).
To find the critical points of the function f(x, y) = 8x^3 + y^3 - 6xy + 2, we need to find the points where the partial derivatives of f with respect to x and y are equal to zero.
a.) Finding the critical points:
∂f/∂x = 24x^2 - 6y = 0
∂f/∂y = 3y^2 - 6x = 0
From the first equation, we have:
24x^2 - 6y = 0
4x^2 - y = 0
y = 4x^2
Substituting y = 4x^2 into the second equation:
3(4x^2)^2 - 6x = 0
48x^4 - 6x = 0
6x(8x^3 - 1) = 0
This gives two possible cases:
6x = 0, which implies x = 0.
8x^3 - 1 = 0, which implies 8x^3 = 1 and x^3 = 1/8. Solving this equation, we find x = 1/2.
For x = 0, we can substitute it back into y = 4x^2 to find y = 0.
So, the critical points are (0, 0) and (1/2, 1/8).
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Please look at the picture.
Answer:
the second one
Step-by-step explanation:
Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.
Carey’s Earnings
h
0
1
3
a
$0
$9.75
?
Which value completes the table to show the amount Carey earns for working 3 hours?
$9.75
$12.75
$19.50
$29.25
Answer:
im doing the test rn and i believe the other person is correct :)
Step-by-step explanation:
why is 3/8 bigger than 3/12
Answer:
3/8 is is bigger then 3/12
Step-by-step explanation:
The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16
Sorry if its wrong! ^^""
As, 0.375> 0.25, so, 3/8 is greater than 3/12.
Here, we have,
To get the answer, we first convert each fraction into decimal numbers.
We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/8 = 0.375
3/12 = 0.25
Then, we compare the two decimal numbers to get the answer.
0.375 is greater than 0.25.
i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125
Therefore, 3/8 is greater than 3/12.
Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.
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Calculate for labor hours for eighth satellite as follows: - Use Table 1 to find the learning curve value for 8th
unit at expected improvement curve of 80% Thus, learning curve value for 8 th
unit is 0.5120 - Calculate number of labor hours as follows: labor hours for eighth satellite
=0.5120∗100,000=51,200
Thus, for 8 th
satellite number of labor hours will be 51,200 . Thus, for 8 th
satellite number of labor hours will be 51,200 .
The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.
The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.
To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.
Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.
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A cube has a side length s of 7 centimeters. The expression 6s2 gives the surface area of the cube and the expression s3 gives the volume. What are the volume and surface area of the cube? NEED HELP NOW!!!!!!
Answer:
Area = 294 cm^2
Volume = 343 cm^3
Step-by-step explanation:
Simply plug in s = 7 into the given equations.
\(6s^{2} = 6*7^{2} = 294 cm^{2}\)
\(s^{3} = 7^{3} = 343 cm^{3}\)