What is 15/45 in it's lowest term? Can someone help me please?
Answer:
Answer is 1/3
Step-by-step explanation:
If you divide the numerator and denominator by five you get 3/9
3/9 can be reduced if you divide the numerator and denominator by 3, then your answer is 1/3 (since 3 goes into 3 once, and 3 goes into 9 three times.)
One-third of a number decreased by six equals eight. What is the number?
6
Answer:
The number is 42.
what makes a good regression model? significant independent variables including the largest possible number of variables dropping all insignificant variables from the model a significant intercept and dependent variable
Significant independent variables makes a good regression model.
A reasonable high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.
Accordingly, a high R-squared value shows that your model adequately accounts for the variation in the dependent variable.
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Hannah bought a grandfather clock online. It cost $898 plus3 0%shipping and handling. What was the total cost?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 898}}{\left( \cfrac{30}{100} \right)898}\implies 269.4~\hfill \underset{ total~cost }{\stackrel{898~~ + ~~269.4 }{\text{\LARGE 1167.4}}}\)
898÷100×30%=269,4
898+269,4= 1167,4
Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers
Using Euler integration, the next values of x and y can be determined as follows:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
What are the updated values of x and y using Euler integration?Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.
To determine the next values of x and y, we use the following formulas:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
Substituting the given values into the formulas, we have:
x_next = 2 + 5 = 7
y_next = 8 + 5 * 9 = 53
Therefore, the updated values of x and y using Euler integration are x=7 and y=53.
It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.
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Please answer it now in two minutes
Answer:
4.5
Step-by-step explanation:
Use sin64=x/5 and simplify to
5sin64 and plug it into a calculator to get 4.49 which is 4.5
3.5b + 4.5 + 0.5b -0.5 - 1.5b
Like terms simplify please
Answer:
b=-1.6
Step-by-step explanation:
State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Please help me with this please and thank you
Answer12
Step-by-step explanation:
2
To measure the quality of a survey, statisticians evaluate which of the following?
A. The population being measured
B. The method used for the survey
C. The outcome of the survey
D. All of the above
The statisticians evaluate all of the above options: A. The population being measured, B. The method used for the survey, and C. The outcome of the survey.
To measure the quality of a survey, statisticians consider various factors related to the survey process and its outcomes. Evaluating only one aspect may not provide a comprehensive understanding of the survey's quality.
A. The population being measured: The quality of a survey depends on how well the target population is defined and represented.
Statisticians assess whether the chosen population accurately reflects the intended group and if any biases or sampling errors are present.
B. The method used for the survey: The survey methodology plays a crucial role in obtaining reliable and valid data.
Statisticians assess the survey design, sampling techniques, data collection methods, questionnaire quality, and other factors to determine if the chosen method is appropriate and likely to yield accurate results.
C. The outcome of the survey: The survey's outcomes are analyzed to evaluate the quality of the data collected. This includes examining response rates, data completeness, measurement validity, reliability, and other statistical measures.
Statisticians assess the overall quality and integrity of the survey's outcomes to determine if they align with the research objectives and provide meaningful insights.
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Is this a function or no
Answer:
Yes
Step-by-step explanation:
None of them repeat
Sorry the picture’s blurry!!
Answer:
odancLo mismo estoy bus
Step-by-step explanation:
A function f is defined as f(x) = ax + b, where a and b are constants. Iff(3) = 10 and f(8) = 12, what are the values of a and b? Select the correct answer below
a = 8.8.b = 0.4 O a = 9.b = 0.2 O a = 0.4, b = 8.8 a=0.2,b=9
When given a function f defined as f(x) = ax + b, where a and b are constants, and f(3) = 10 and f(8) = 12, the values of a and b are 0.4 and 0.8, solved using a system of equations. So the right answer is O a = 0.4, b = 8.8.
The values of a and b can be determined as follows:
f(3) = 10 implies that 10 = 3a + bf(8) = 12 implies that 12 = 8a + b
We can solve this system of equations to get the values of a and b.
One way to do this is to use elimination: We can eliminate b by subtracting the first equation from the second equation: 12 - 10 = (8a + b) - (3a + b)2 = 5a
Solving for a, we get a = 2/5.
Substituting this value of a into the first equation, we can solve for b:10 = 3a + bb = 10 - 3a
Substituting the value of a = 2/5, we get: b = 10 - 3(2/5)b = 10 - 6/5b = 44/5
Therefore, the values of a and b are: a = 2/5 and b = 44/5.
The correct answer is: a = 0.4, b = 8.8.
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A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom cost 8 dollars per ft.2 and sides 5 dollars per ft.2. If the box must have a volume of 72 ft.3, determine the dimensions that will minimize cost.
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
y=3(x+2)^2+4 solve please and thank you!
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
HELP ME PLEADE I NEEDDDD HELPP
Step-by-step explanation:
I hope this helps, happy learning!!
How many numbers less than 305 are divisible by 3?
To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.
In math, what exactly is a divisible?A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.
How can you divide three?According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.
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Determine the value of k
Answer:
k=6
Step-by-step explanation:
For a piecewise function to be continuous, the left-side and right-side limits must be equal to each other. Therefore, the left-side limit of f(x) is 8 because the derivative of 2x^2 is 4x, and then directly substituting x=2 gives us 4(2)=8. Therefore, the right-side limit must also equal 8. Therefore, k must be 6 because 2+6=8.
Answer:
\(\displaystyle k = 6\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationAlgebra II
Piecewise FunctionsCalculus
LimitsContinuityStep-by-step explanation:
Step 1: Define
Identify
Continuous at x = 2
\(\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.\)
Step 2: Solve for k
Definition of Continuity: \(\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k\)Evaluate limits: \(\displaystyle 2(2)^2 = 2 + k\)Evaluate exponents: \(\displaystyle 2(4) = 2 + k\)Multiply: \(\displaystyle 8 = 2 + k\)[Subtraction Property of Equality] Subtract 2 on both sides: \(\displaystyle 6 = k\)Rewrite: \(\displaystyle k = 6\)Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits - Continuity
Book: College Calculus 10e
in scientific notation 8599000000 = 8.559 x 10^z what is the value of x
Answer:
z = 9
Step-by-step explanation:
X is not a valve is it a multiplication sign. I believe that you are looking for the value of z.
To find the value of z you simply have to count how many times you moved the decimal point. In this case you move the decimal point 9 times. Since you move it to the left z is positive. Z=9
There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. What is the smallest of the 3 integers
The smallest of the three consecutive integers be x,(x+1),(x+2) = 12, 13,14 is 12
Let's consider the number will be in form of x
Consecutive Integers:
we number or count items in a sequence, we use consecutive integers. In other words, consecutive integers are integers that follow each other in a sequence with a difference that is fixed.
the three consecutive integers be x,(x+1),(x+2)
As per the problem,
Four times the smallest integer is equal to six more than three times the largest integer
4x=3(x+2) +6
∴4x=3x+6 +6
∴4x−3x=6+6
x= 12
Smallest number = x= 12
middle number X+1 = 12+1 =13
Highest number = x+2 = 12+2 = 14
the three consecutive integers be x,(x+1),(x+2) = 12, 13,14
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Work out the angles marked x in each diagram you must show your working
Answer:
x = 125°Step-by-step explanation:
Since ∆ ABC is a triangle the sum of it's angles add up to 180°
In order to find x we must first find \(\angle\) AED
Let \(\angle\) AED = E
To find \(\angle\) AED add up all the angles in the triangle and equate it to 180°
That's
35 + 90 + E = 180
125 + E = 180
E = 180 - 125
E = 55°
E and x lie on a straight line
So we have
x + 55 = 180°
x = 180 - 55
x = 125°Hope this helps you
Subtract (3x + 5) - (x + 2).
Answer:
2x+3
Step-by-step explanation:
You have to combine your like terms then Subtract. I have tested my answer against an online Algebra Problem solver and this is 100% for sure the correct answer.
PLEASE MARK BRAINLIEST
Answer:
2x + 3
Step-by-step explanation:
i did the test
A marble has a volume of 524 cubic feet. What is the approximate diameter of the marble?
262
Step-by-step explanation:
in half a circle will get the answer
The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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A water tank holds 720 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds
960 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water
in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks. Can someone help me plz hurry
Look at screenshot because it wouldn't let me upload the text.
FIND THE PERCENTAGE OF THE PART!!!!!!
15% of 30 of what number???
Answer:
4.5
Step-by-step explanation:
15% of 30 is 4.5
30/100=0.3
0.3*15=4.5
find the coordinate matrix of x relative to the orthonormal basis b in rn. x = (5, 20, 10), b = 3 5 , 4 5 , 0 , − 4 5 , 3 5 , 0 , (0, 0, 1)
The coordinate matrix of x relative to the orthonormal basis b is then: [x]b = [19, -9, 10]
To get the coordinate matrix of x relative to the orthonormal basis b in Rn, we need to express x as a linear combination of the basis vectors in b. We can do this by using the formula: x = [x · b1]b1 + [x · b2]b2 + [x · b3]b3
where · denotes the dot product and b1, b2, and b3 are the orthonormal basis vectors in b.
First, we need to normalize the basis vectors:
|b1| = √(3^2 + 4^2) = 5
b1 = (3/5, 4/5, 0)
|b2| = √(4^2 + 3^2) = 5
b2 = (-4/5, 3/5, 0)
|b3| = 1
b3 = (0, 0, 1)
Next, we compute the dot products:
x · b1 = (5, 20, 10) · (3/5, 4/5, 0) = 19
x · b2 = (5, 20, 10) · (-4/5, 3/5, 0) = -9
x · b3 = (5, 20, 10) · (0, 0, 1) = 10
Using these values, we can express x as a linear combination of the basis vectors:
x = 19b1 - 9b2 + 10b3
The coordinate matrix of x relative to the orthonormal basis b is then:
[x]b = [19, -9, 10]
Note that this matrix is a column vector since x is a column vector.
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In the beginning steps of constructing a perpendicular bisector of CD, the compass should be stretched out
A. less than halfway from point C to the other endpoint D.
B. halfway from point C to the other endpoint D.
C. more than halfway from point C to the other endpoint D.
Given:
Line segment is CD.
To find:
The beginning steps of constructing a perpendicular bisector of CD.
Solution:
To draw a perpendicular bisector of a line segment, first we need to open the compass more than half of the distance between the end points of the segment.
End points of the segment CD are C and D.
So, to draw a perpendicular bisector of CD, the compass should be stretched out more than halfway from point C to the other endpoint D.
Therefore, the correct option is C.
Complete the equations below.
Answer:
3.64 ÷ 7 = 364 hundredths ÷ 7
3.64 ÷ 7 = 52 hundredths
3.64 ÷ 7 = 0.52
Step-by-step explanation:
which group has a larger median number of bones discovered?
Answer:
Group A has a larger median
Step-by-step explanation:
Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9
Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9
You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.
i dont get it
help please :)