Answer:
(4 x + 9) (16 x^2 - 36 x + 81)
Step-by-step explanation:
Factor the following:
64 x^3 + 729
64 x^3 + 729 = (4 x)^3 + 9^3:
(4 x)^3 + 9^3
Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):
(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)
4×9 = 36:
(4 x + 9) ((4 x)^2 - 36 x + 9^2)
Multiply each exponent in 4 x by 2:
(4 x + 9) (4^2 x^2 - 36 x + 9^2)
4^2 = 16:
(4 x + 9) (16 x^2 - 36 x + 9^2)
9^2 = 81:
Answer: (4 x + 9) (16 x^2 - 36 x + 81)
Answer:
(4x+9)(16x2−36x+81)
Step-by-step explanation:
Factor 64x3+729
64x3+729
=(4x+9)(16x2−36x+81)
The Dodgers beat the Mets by 3 runs. There was a total of 19 runs scored in the
game. How many runs did each team score?
Dodgers:
Mets:
Answer:
The Mets had 8, and the Dodgers had 11
Step-by-step explanation:
8 + 11 = 19
11 is 3 more than 19
Answer:
Dodgers 11 - Mets 8
Step-by-step explanation:
The Dodgers hit a couple homers probably,
Mets hit runs that are equal to 2 grand slams,
Dodgers 11
Mets 8
How many different 2-digit ID numbers can be made if each ID number can use the numbers 1 through 8 and no digits may be repeated?
Answer:1,2,5,7,8 and 9. Thus, we have 6 numbers.
Step-by-step explanation:Then we want to form two-digit numbers without repetition. There are 6 number that is possible to occupy first digit, right? 1,2,5,7,8 or 9. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that possible to occupy second place are 5 digits.So step by step
A roller coaster at an amusement park rises to a height of 196 feet above the ground. So far, it has risen 36% of this height. To estimate the height the roller coaster has risen so far, Jake did the following.
1. Rounded 36% to 40%
2. Rounded 196 to 200
3. 10% of 200 is 20
4. 20 (4) = 80
5. 36% of 196 is about 80
However, Jake’s estimate was too high by almost 10 feet. Why was his estimate off by so much?
He made a computation error.
He rounded the percent up to 40% and the number up to 200.
He made a rounding error, and should have rounded 196 down to 100.
He should have rounded the percent down to 30% and the number down to 190.
Answer: B
Step-by-step explanation: I just know
Answer:
B. He rounded the percent up to 40% and the number up to 200.
Next, Josh creates a scatter plot and draws a trend line to fit the data. To see how well the trend line represents the data, Josh draws black
Ines to represent the distance each data point les away from the trend line
Practice Tests
2883 39272
OA 97
OR 19
OC. 58
OD 39
120
108
Time (minutes)
96
0
What is the sum of the residuals for all the points?
Lilly
12 16 20 24 28 32 36 40
Questions
Answer:
Step-by-step explanation:
The sum of the residuals for all the points is 19.
The residuals are the distances between the data points and the trend line. The black lines in the diagram represent the residuals. The sum of the residuals is calculated by adding up the lengths of all the black lines.
In this case, the sum of the residuals is 19. This means that the trend line is not a perfect fit for the data, but it is a good approximation.
To calculate the sum of the residuals, you can use the following formula:
```
sum of residuals = Σ(residual)^2
```
where Σ represents the sum of all the residuals, and residual is the distance between a data point and the trend line.
In this case, the residuals are:
* 4 for the point at (12, 96)
* 3 for the point at (16, 108)
* 2 for the point at (20, 120)
* 1 for the point at (24, 112)
* 0 for the point at (28, 104)
* -1 for the point at (32, 96)
* -2 for the point at (36, 88)
* -3 for the point at (40, 80)
The sum of the residuals is therefore:
```
sum of residuals = 4 + 3 + 2 + 1 + 0 + (-1) + (-2) + (-3) = 19
```
Therefore, the answer is 19.
In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
To learn more about non-experimental research, visit: https://brainly.com/question/28039772?referrer=searchResults
#SPJ4
True of False for the following Questions
A. In a randomized block design, each block is randomly assigned to one treatment.
B. In a completely randomized experimental design ANOVA procedure, the MSE represents the within-treatment estimate of population variance.
C. For full factorial experimental design ANOVA procedure, the f –statistic can be calculated by taking the mean square due to treatments divided by the mean square due to error.
D. Randomization is the process of assigning the treatments to the experimental units in a systematic or subjective basis.
A. True
B. True
C. True
D. False
A. In a randomized block design, each block is a group of experimental units that are similar with respect to some known characteristic. Each block is randomly assigned to one treatment to reduce variability within blocks.
B. In a completely randomized experimental design ANOVA procedure, the MSE (mean square error) represents the within-treatment estimate of population variance. The MSE is a measure of the variability of the data within each treatment group.
C. For full factorial experimental design ANOVA procedure, the f-statistic can be calculated by taking the mean square due to treatments divided by the mean square due to error. The f-statistic is used to test whether the treatments have a significant effect on the response variable.
D. Randomization is the process of assigning the treatments to the experimental units in a random and unbiased manner to minimize the effect of extraneous variables. The goal of randomization is to ensure that the differences between the treatment groups are due to the treatments themselves and not to any systematic differences between the groups. Therefore, the statement that randomization is the process of assigning the treatments to the experimental units in a systematic or subjective basis is false.
Learn more about ANOVA here:
https://brainly.com/question/30762844
#SPJ11
A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on the map?
Given:
The scale of a map is \(\dfrac{3}{4}\ in=80\ miles\).
The distance between two buildings is 60 miles.
To find:
The distance between the given building on the map.
Solution:
We have,
\(\dfrac{3}{4}\ in=80\ miles\)
It means, 80 miles in real life = \(\dfrac{3}{4}\ in\) on the map.
1 mile in real life = \(\dfrac{3}{4\times 80}\ in\) on the map.
60 mile in real life = \(\dfrac{3\times 60}{4\times 80}\ in\) on the map.
= \(\dfrac{180}{320}\ in\) on the map.
= \(\dfrac{9}{16}\ in\) on the map.
Therefore, the buildings are \(\dfrac{9}{16}\ in\) apart on the map.
Which equation represents the transformed function below? on a coordinate plane, a parent function starts at (0, negative 1) and then curves up into quadrant 1 and approaches y = 1. a transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6. _____ = parent function; y = log x - - - - - = transformed function y = log x 5 y = log x minus 5 y = log (x 5) y = log (x minus 5)
The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,
y=logx
A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.
y=logx +5
Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
Learn more about the transformed function here:
https://brainly.com/question/1548871
#SPJ1
Answer:
yeah its a
Step-by-step explanation:
yw
PLEASE HELP ME OUT WITH METRIC CONVERSIONS!!!!!!
Answer:
1. 5,000,000
2. 0.05632
3. 0.00031
4. 2,200
5. 2,500
6. 0.157963
7. 1,114
8. 4.001
9. 8.88
10. 250.89 m = 250,890 mm
11. 63,360
12. 1.009
13. 1,000
14. 0.00005
15. 0.0000007 m = 0.0000000007
Step-by-step explanation:
Answer:
Step-by-step explanation:
5000km = 500000m
56.32ml = 0.05632l
0.0031mm = 0.00031cm
22Hg = 2200g
0.025kg = 25,000mg
157.963 = 0.157963km
1.114 = 1114ml
4001mg = 4.001g
0.888L = 8.88 Dl
0.25089km = 250.89m = 250,890mm
63.36g = 0.06336mg
1009dg = 1.009 Hg
100cm = 1000mm
0.05ml = 0.00005l
A lumberjack takes 2 minutes to make a cut through a log. How long will
it take him to cut a 10 foot log into 4 equal pieces?
O 8 minutes
O 5 minutes
O 6 minutes
O 20 minutes
It will take the lumberjack 6 minutes to cut a 10-foot log into 4 equal pieces.
Calculating the time taken to cut the lumberjackFrom the question, we have the following parameters that can be used in our computation:
Since the lumberjack takes 2 minutes to make a cut through a log, he will need to make 3 cuts to divide the log into 4 equal pieces.
Therefore, it will take him a total of 3 x 2 = 6 minutes to make all the cuts.
i.e. it will take 6 minutes in total
Read more about unit rate at
https://brainly.com/question/26059245
#SPJ1
PLEASE HELP
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b. 6^-2
Answer:
1/36
Step-by-step explanation:
6^-2
~Use negative exponent rule [ a^-b = 1/a^b ]
1/6^2
1/36
Best of Luck!
Answer:
\(\huge\boxed{\sf \frac{1}{36}}\)
Step-by-step explanation:
\(\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Peace!Ryan can mow 15 lawns in 5 days. How many lawns can he mow each day?
Answer:
3
Step-by-step explanation:
MARK BRAINLIEST
please answer correctly and quickly all question please please please
What is the slope of the line
Answer:
\(m=-1\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -2)
Point (-2, 0)
Step 2: Find slope m
Substitute: \(m=\frac{0+2}{-2-0}\)Add/Subtract: \(m=\frac{2}{-2}\)Divide: \(m=-1\)And we have our final answer!
Answer:
-1
Step-by-step explanation:
a baker can make 25 cds ales in 4 days at this rate how many cakes can he make in 7 days
Answer:
44
Step-by-step explanation:
25dided by 4 is 6.25
multiply 6.25 and 7 and you'll get 43.75
round that to the nearest whole and you get 44
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Compute the real and the imaginary part of the following complex numbers: a) ∑
k=0
100
(2i)
k
b) (1+i)
100
−(1−i)
100
The real part is cos(25π) and the imaginary part is sin(25π).
The real part is (1-2cos(101π/2))/5 and the imaginary part i -2sin(101π/2)/5.
a) To find the real and imaginary part of the complex number:
∑
k=0
100
(2i)
k
We can first simplify the sum using the formula for a geometric series:
∑
k=0
100
(2i)
k
= (1 - (2i)^101)/(1-2i)
Simplifying the numerator:
(1 - (2i)^101) = 1 - 2i^101 = 1 - 2(cos(101π/2) + i sin(101π/2))
Simplifying the denominator using the complex conjugate:
(1-2i)(1+2i) = 1 - (2i)^2 = 5
So we have:
∑
k=0
100
(2i)
k
= (1 - 2(cos(101π/2) + i sin(101π/2)))/5
b) To find the real and imaginary part of the complex number:
(1+i)^100 / (1-i)^100
We can start by simplifying each factor in the numerator and denominator using the binomial theorem:
(1+i)^100 = (sqrt(2))^100 * (cos(π/4) + i sin(π/4))^100 = 2^50 * (cos(25π) + i sin(25π))
(1-i)^100 = (sqrt(2))^100 * (cos(-π/4) + i sin(-π/4))^100 = 2^50 * (cos(-25π) + i sin(-25π))
So the fraction becomes:
(2^50 * (cos(25π) + i sin(25π))) / (2^50 * (cos(-25π) + i sin(-25π)))
Simplifying the denominator:
(cos(-25π) + i sin(-25π)) = cos(25π) - i sin(25π)
So the fraction becomes:
(cos(25π) + i sin(25π)) / (cos(25π) - i sin(25π))
Multiplying the numerator and denominator by the complex conjugate of the denominator:
(cos(25π) + i sin(25π)) * (cos(25π) + i sin(25π)) / (cos(25π))^2 + (sin(25π))^2
Simplifying using trigonometric identities:
(cos(25π))^2 + (sin(25π))^2 = 1
So we are left with:
cos(25π) + i sin(25π)
Know more about binomial theorem here:
https://brainly.com/question/30095082
#SPJ11
The average temperature in the mountains is 62° in April. The average temperature in that same spot is −4° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer:
62-4=58
April is 58 much warmer than December and 62 is the farthest from 0
Answer:
I Can only tell you the temperature part, sorry...
Step-by-step explanation:
Basically 62 is actually farther away, and essay writers stink
I'm a bumblebee who likes to eat KFC - Ash the Fox
A package for number cubes is in the shape of a right rectangular prism. The package holds 2 cubes across, 2 cubes high, and 5 cubes deep. Each edge of each number cube measures of an inch. What is the volume of the package?
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Answer:
20 cubic inches
Step-by-step explanation:
Find the sum. 5/6 + 4/9
Answer:
The answer is 23/18..
5/6+4/9=23/18.
Answer:
Exact Form:
23/18
Decimal Form:
1.27
Mixed Number Form:
1 5/18
Step-by-step explanation:
Determine whether a triangle with the given side lengths is a right triangle.
7, 24, 25
5, 12, 13
9, 16, 25
16, 22, 34
The choices are
Yes
No
Not enough Info
The lengths that represents the side length of a right triangle are 7, 24, 25 and 5, 12, 13.
What is a right triangle?A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.
7² + 24² = 25²
5² + 12² = 13²
9² + 16² = 18.4²
16² + 22² = 27.2²
To learn more about right angled triangle, please check: https://brainly.com/question/20694080
#SPJ1
Mathhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
93
Step-by-step explanation:
subtract -36 from 57 and you get 93.
Answer:
93
Step-by-step explanation:
57+36=93 that's your answer
What is the value of t?
Answer:
I messed up. Please delete this 'answer'
Step-by-step explanation:
Larson uses 2 tablespoons (tbsp) of oil for every 5 tablespoons of vinegar in a science experiment. He uses a total of 20 tablespoons of vinegar. The tape diagram below represents this situation.
image 7ab5bfdf0ba844ca8e92c8aff1fdf52a
How many tablespoons of oil should Larson use?
Answer:
8 tablespoons
Step-by-step explanation:
your ratio is 5:2 so for every 5 we will need 2. so 5 times what is 20. well 4 so now we need to multiply 2 by 4 to get 8 and your ratio becomes 20:8.
Sorry, I had done this wrong but I can't delete it. Look at
sophiamilcheva's answer they did it correctly.
uke has blue and red balls. Every day, he wins 2 blue balls and loses 3 red ones. After 5 days, he has the same amount of blue as red. After 9 days, he has twice as many blues as reds. How many red balls did he have at the beginning? Question not Showing?
A. The number of red balls he had was 8 at the beginning.
Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.
After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.
This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.
For more questions like Equation click the link below:
https://brainly.com/question/29657992
#SPJ4
Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane. Identify the surface.
Answer:
Step-by-step explanation:
The equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane can be found by using the distance formula in three dimensions.
Let (x, y, z) be a point P on the surface. The distance from P to the x-axis is |x|, and the distance from P to the yz-plane is sqrt(y^2 + z^2). Setting these two distances equal and solving for x, we get:
|x| = 2 * sqrt(y^2 + z^2)
x = 2 * sqrt(y^2 + z^2) if x >= 0
x = -2 * sqrt(y^2 + z^2) if x < 0
This is the equation for a hyperboloid of one sheet. The hyperboloid of one sheet is a three-dimensional surface with two connected components that are mirror images of each other across the x-axis.
Find the equation of the circler whose diameter has the end points A( 5,4) and B(7,4)
Answer:
(x-a) whole square + (y-b) whole square =r square
you will get answer
sharon wilson is single and has health insurance benefits as shown in the tabled her recent network health care costs inclued hospital surgery she made co payments for 15 physical therapy visits at $95 each and she had 5 co payments for local pharmacy 2 generic and 3 brand name drugs her hospital admission charge was $240 and she had a hospital bill for $54,869 find the amount she paid
sharon wilson is single and has health insurance benefits as shown in the tabled her recent network health care costs include hospital surgery. The amount she paid is: $56,844.
What is insurance benefits?A policy that represents an insurance contract provides the policyholder with financial protection or payment from an insurance firm against losses. In order to make payments to the insured more manageable, the firm combines the risks of its clients. The degree of financial protection you receive from insurance is known as coverage. The medical services your plan covers are known as benefits.
The SBC provides a quick overview of a health plan's pricing, advantages, covered medical treatments, and other crucial aspects for customers. SBCs often offer clear explanations of important coverage restrictions and exclusions, as well as special aspects of health plans including cost sharing policies.
Total amount paid = (15 × $95) + ($5 × 2) + ($240 × 3) + $54,869
Total amount paid = $56,844
So, the amount she paid is: $56,844.
To know more about health insurance refer to:
https://brainly.com/question/1638865
#SPJ1
on the south side of the building, the first quartile is 43cm, the median is 46cm, and the third quartile is 48cm. if she goes to the south side and randomly selects three daffodils, what is the probability that none of them are between 46cm and 48cm?
Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.
Since the median of the data is 46cm
the third quartile is 48cm,
this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.
To know more about probability,
https://brainly.com/question/30034780
#SPJ4
Three straight roads join three towns, A, B and C. The road between towns A and C, 45 km long,
makes an angle of 70° with the road between towns A and B, and the angle of 60° with the road betweer
towns and B. A person drives from A to B to C. Determine the total distance driven.
We can say for certain that the minimum distance driven would be 45 km (if the person drove directly from A to C without passing through B), and the maximum distance driven would be 90 km (if the person took the longest possible routes from A to B and from B to C).
Based on the information provided, we can visualize a triangle with each town located at a vertex and the roads representing the sides. Town A is connected to town C by a road that is 45 km long, so we can assume that the other two sides (connecting A to B and B to C) have unknown lengths.
Now, let's consider the person's journey from town A to town B to town C. They will have to drive along two sides of the triangle, namely from A to B and from B to C. To determine the total distance driven, we simply need to add up the lengths of these two sides.
Unfortunately, we don't have enough information to calculate the exact lengths of these sides. However, we can make an educated guess based on the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side. In other words, if we know two sides of a triangle, we can determine a range of possible lengths for the third side.
In this case, we know that the road between A and C is 45 km long. Let's say that the road between A and B is x km long and the road between B and C is y km long. According to the triangle inequality theorem, we have the following inequalities:
x + y > 45 (since the road between A and B plus the road between B and C must be greater than the road between A and C)
x + 45 > y (since the road between A and B plus the road between A and C must be greater than the road between B and C)
y + 45 > x (since the road between B and C plus the road between A and C must be greater than the road between A and B)
We can simplify these inequalities by subtracting 45 from each side:
x + y - 45 > 0
x - y < 45
y - x < 45
Now we have a system of three inequalities that describe the possible values of x and y. We can graph these inequalities on a coordinate plane (with x representing the distance from A to B and y representing the distance from B to C) to see the region of possible solutions.
Unfortunately, I'm not able to include a graph in my answer since this platform only supports text. However, I can describe the region of possible solutions. It turns out that the region is a triangular shape with vertices at (0, 0), (45, 0), and (22.5, 22.5). This means that the distance from A to B could be anywhere from 0 to 45 km, and the distance from B to C could be anywhere from 0 to 45 km, as long as the sum of these distances is greater than 45 km.
So, to determine the total distance driven by the person, we need to consider all the possible combinations of x and y that satisfy the given conditions and add up their lengths. This would be a tedious calculation to do by hand, so I'll leave it at that. However, we can say for certain that the minimum distance driven would be 45 km (if the person drove directly from A to C without passing through B), and the maximum distance driven would be 90 km (if the person took the longest possible routes from A to B and from B to C).
Learn more about Distance here: brainly.com/question/29288405
#SPJ11