Answer:
Step-by-step explanation:
The results of the mathematical operations are;
A. -4.324
B. 4.324
C. 1.5
Basic mathematical operations
The basic mathematical operation of subtraction entails calculating the difference between two integers. It is represented by the letter "-" and refers to the action of subtracting one quantity from another.
When subtracting, we take away or lessen the second number's value from the first, producing the outcome or the "difference." The method, which may be used to solve a variety of real-world problems requiring comparisons, reductions, and determining the amount that remains after some is subtracted, is essentially the opposite of addition.
A. -1.424 - 2.9
= -4.324
B. 1.424 - (-2.9)
= 4.324
C. -1.424 - (-2.9) - 0.576
= -1.424 + 2.9 - 0.576
= 1.5
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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PLS HELP I DONT UNDERSTAND!!
What type of circle would you use when graphing x≥5
How to:
When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".
For this problem:
For the number line, we would place a solid dot at −5 because the value is both greater than and equal too (≥) and then continue a line on the number line to the right of that point incorporating all values greater than −5
Answer:
(image attached)
Look at the one showing your problem, the first one.
It's reverse of that since X is greater meaning the line goes the other way instead as shown in the second image.
I HOPE I HELPED!! HAVE AN AMAZING DAY/NIGHT!!! PLEASE GIVE MY BRAINLIEST IF I HELPED YOU!!!!
-Sorry if I was unable to help you....I did my best!!
A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
A rectangular room is four times as long as it is wide, and its perimeter is 90 meters. Find the width of the room.
Compatible numbers for 2.4 and -0.18 are 2.5 and -0.2. What is the estimation of the product of (2.4)(-0.18)
using these compatible numbers?
-0.5
O-04
0.4
0.5
Answer:
-0.5
Step-by-step explanation:
just got it right
Answer:-0.5
Step-by-step explanation:I took the edge quiz
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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The system created by y = 1/2 x - 6 and y = 8x - 6 has a solution of (0, -6).
True
False
Equivalent to 64^0.5m/4^0.5m
The value of the given expression will be 2.
The given expression is \(\frac{64^{0.5} }{4^{0.5} }\)
64 and 4 are perfect squares,
Perfect squares: A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself. For instance, the number 64 is a perfect square since it is the product of the integer 8 multiplied by itself, 8*8 = 64
64 is a perfect square of 8 and 4 is the perfect square of 4.
Now, writing 64 as \(8^{2}\) and 4 as \(2^{2}\) , the expression will be
\(\frac{64^{0.5} }{4^{0.5} } = \frac{8^{2*0.5} }{4^{2*0.5} } = (\frac{8}{4})^{1} = 2\)
Hence, the value of the expression will be 2.
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find the difference between points (3,5) and (-1,5)
b'
Let the given points be A(3,-5) and B(5,-1).
AB= sqrt of (5−3) ² +(−1+5)²
= sqrt of 4+16
= sqrt of 20
=2 sqrt of 5 units
please help me
a
b
c
d
Answer:
3 1/3
Step-by-step explanation:
negatives cancel out just subtract 5-3 then add the fraction
Answer:
(C) 3 1/3
i hope this helps!
Graph the Line y=-3x+b if its graph goes through the following point.
A(-2,4)
PLEASE HELP THIS IS DUE IN THE NEXT HOUR!!!!!!!!!!!!!!!!!!!!!!!!!!!!
10) The cost of 7 books are $ 210.70 with taxes included. How much does each book cost?
11) Ms. Sosa bought 17.86 gallons of gas on Monday, she had to refill back on Friday and
bought 10.3 gallons more. How many gallons did she buy in total?
12) Ms. Fernandez and Ms. Sosa rode their bicycles in the park. Ms. Fernandez rode her bike
for 7 % miles. Ms. Sosa rode for twice that distance. How many miles did Ms. Sosa ride?
13) Ms. Castillo put 42 pounds of almonds into small bags that could hold pound each.
How many of these small bags could she fill if she used all the almonds?
14) In Ms. Sosa class, 5/6 of the students are done with their homework, and 2 of those
students are girls. What fractional part of Ms. Sosa class is made of girls who finished
their homework?
15) The average dancer dances about 150 minutes a week. How many minutes could they
spend in the whole year?
28453 dg a t
porfa ayudenme
pipipipi
Answer:
488
Step-by-step explanation:
You divide 28453 by 58.3053278689 and get 488.
Which ordered pair is the solution of the system
graphed below?
Simplify -12 - (-16)
Answer:
4
Step-by-step explanation:
-12-(-16)
-*- = +
-12+16
4
which could be a possible root of 3x4 10x3 9x2 40x 12 0
\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root
What is a root ?
Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.
Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
3x^4 -10x^3 -9x^2 + 40x - 12
=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)
=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)
= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)
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how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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The continent of North America has an area of approximately 9.4x10^(6) square miles. The area of Asia is approximately 1.74x10^(7) square miles. Approximately how many square miles larger is Asia than North America
Asia is larger than North America by approximately 8.0 x 10⁶ square miles.
What is the difference between the areas of the two countries?The difference in area between Asia and North America is calculated as follows;
Difference in area = Area of Asia - Area of North America
Difference in area = 1.74 x 10⁷ mi² - 9.4 x 10⁶ mi²
The difference in the area between Asia and North America is calculated as
= 1.74 x 10⁷ mi² - 9.4 x 10⁶ mi²
= 8.0 x 10⁶ mi²
Thus, The difference in area between Asia and North America is 8.0 x 10⁶ mi².
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Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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How many sixths are there in 2/3
Answer:
4 Sixths
Step-by-step explanation:
Which is different? Find "both" answers.
Answer : The different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Step-by-step explanation :
As see that, AB is a line segment in which point C is represented in between the line.
As we are given that:
AC = 3
CB = 7
So,
AC + CB = 3 + 7 = 10
Similarly,
CA + BC = 3 + 7 = 10
Similarly,
AB = AC + CB = 3 + 7 = 10
But,
BC - AC = 7 - 3 = 4
From this we conclude that, find AC + CB, find AB and find CA + BC are same things while find BC - AC is a different thing.
Hence, the different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Answer:
Find BC-AC is the correct answer
Step-by-step explanation:
Assume the weight of Valencia oranges is normally distributed with a mean 9 oz and standard deviation 2 oz. What is the probability that a sample of 100 units show a mean weight of less than 9.5 oz?
Answer:
0.99379
Step-by-step explanation:
The first thing to do here is to calculate the z-score
mathematically;
z-score = x-mean/SD/√(n)
From the question x = 9.5 ,
mean = 9, SD = 2 and n = 100
Plugging the values we have;
z-score = (9.5-9)/2/√(100) = 0.5/2/10 = 0.5/0.2 = 2.5
So the probability we want to calculate is;
P(z<2.5)
We use the standard table for this
and that equals 0.99379
What is the value of x in the equation x - y = 30, when y = 15?
8
80
200
Answer:
\(x=45\)
Step-by-step explanation:
\(x-15=30\)
\(x=30+15\)
\(x=45\)
If AB is 150 then P equals?
Answer:
Wouldn't P be something less or equal to an acute angle? Try 75°.
Answer:
its 300∘ I got it right
A quadrilateral has two angles that measure 235° and 40°. The other two angles are in a ratio of 5:12. What are the measures of those two angles?
Answer: Let's denote the two unknown angles as x and y.
We know that the sum of the angles in any quadrilateral is 360°, so we can set up an equation using this fact:
235° + 40° + x + y = 360°
Simplifying this equation, we get:
x + y = 85° (equation 1)
We also know that the other two angles are in a ratio of 5:12. This means that:
x/y = 5/12
Multiplying both sides by y, we get:
x = (5/12)y (equation 2)
Now we can substitute equation 2 into equation 1 and solve for y:
(5/12)y + y = 85°
(17/12)y = 85°
y = (12/17) * 85°
y = 60°
Substituting y = 60° into equation 2, we can solve for x:
x = (5/12) * 60°
x = 25°
Therefore, the two angles that are in a ratio of 5:12 measure 25° and 60°, respectively.
Step-by-step explanation:
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Consider the function f denoted by:
\(f(x) = ln(x) \)
Find the nth derivative of f(x) denoted by:
\(f {}^{(n)} (x ) \)
Irrelevant answers will be reported immediately.
Step-by-step explanation:
Let take the first derivative
\( \frac{d}{dx} ln(x)) = x {}^{ - 1} \)
The second derivative
\( - {x}^{ - 2} \)
The third derivative
\(2 {x}^{ - 3} \)
The fourth derivative
\( - 6 {x}^{ - 4} \)
The fifth derivative
\(24 {x}^{ - 5} \)
Let create a pattern,
The values always have x in it so
our nth derivative will have x in it.
The nth derivative matches the negative nth power so the nth derivative so far is
\( {x}^{ - n} \)
Next, lok at the constants. They follow a pattern of 1,2,6,24,120). This is a factorial pattern because
1!=1
2!=2
3!=6
4!=24
5!=120 and so on. Notice how the nth derivative has the constant of the factorial of the precessor
so our constant are
\((n - 1)\)
So far, our nth derivative is
\((n - 1)!x {}^{ - n} \)
Finally, notice for the odd derivatives we are Positve and for the even ones, we are negative, this means we are raised -1^(n-1)
\( - 1 {}^{n -1} (n - 1) ! {x}^{-n} \)
That is our nth derivative
What is the approximate volume of the cylinder? Use 3.14 for T.
5 in.
16 in.
A. 126 in.
B. 153.86 in.
C. 1,256 in.
D. 7,121.52 in.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,
Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³
Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
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Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27