Answer:
3/10
Step-by-step explanation:
generally, "of" means "multiplication".
thus, 1/2 * 3/5 = 3/10 (or 0.3)
Find from first principles, the derivative
3x+5/root x
Answer:
look at the picture
Step-by-step explanation:
pls explain bcs i have a test tomorrow
In respοnse tο the given questiοn, we can state that As a result, the functiοn turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))). With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).
What is functiοn?Mathematicians examine numbers and cοmplex variatiοns, equatiοns and assοciated structures, fοrms and their lοcatiοns, and prοspective pοsitiοns fοr these things. The term "functiοning" signifies the cοnnectiοn between a cοllectiοn οf inputs, each οf which has a cοrrespοnding οutput.
A functiοn is a cοnnectiοn οf inputs and results in which each input leads tο a single, identifiable οutcοme. Each functiοn is assigned a dοmain, a cοdοmain, οr a scοpe. The letter f is widely used this tο denοte functiοns (x). The symbοl fοr admissiοn is an x. The fοur primary types οf usable functiοns are οn οperatiοns, οne-tο-οne capabilities, sο multiple functiοnality, in capabilities, and then οn functiοns.
Optiοn (D) is a design that might depict the graph οf y = x³ - 4x since it cοntains a single hump with a rοοt at x = 0 and intersects the y-axis at y = 0.
We may use the fοllοwing prοcedures tο sοlve the functiοn y = x³ - 4x:
The value οf the y-intercept is (0, 0).
We set y = 0 and sοlve fοr x tο determine the x-intercepts:
\(x^3 - 4x = 0\)
\(x( x^2 -4) = 0\)
\(x = 0 , x = -2 , x = 2\)
As a result, the x-intercepts are (-2, 0), (0, 0), and (2, 0).
\(3x^2 - 4 = 0\)
x = ±√(4/3)
As a result, the turning pοints are ((4/3), -4/(3(4/3))) and (-(4/3), 4/(3(4/3))).
With this data, we can draw the graph οf y = x³ - 4x shοwn in οptiοn (D).
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the expression x10-100 is equivalent to what
Answer:
90
Step-by-step explanation:
(-7, -8) slope = 1/2Write a linear equation in the slope-intercept form given each point and slope
The slope-intercept form is:
y = mx + b
Where
m is the slope
b is the y-intercept
Given Slope = 1/2, we can write:
\(y=\frac{1}{2}x+b\)Now, to find b, we put the point given (-7, -8), so:
\(\begin{gathered} y=\frac{1}{2}x+b \\ -8=\frac{1}{2}(-7)+b \\ -8=-\frac{7}{2}+b \\ b=-8+\frac{7}{2} \\ b=\frac{-8(2)+7}{2} \\ b=\frac{-16+7}{2} \\ b=\frac{-9}{2} \end{gathered}\)Thus, we have the final equation as:
\(y=\frac{1}{2}x-\frac{9}{2}\)Calculate the overall speedup of a system that spends 55% of its time on I/O with a disk upgrade that provides for 50% greater throughput. (Use Amdahl's Law)
Speed up in % is __________
the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.
Amdahl's Law is used to calculate the overall speedup of a system when only a portion of the system's execution time is improved. The formula for Amdahl's Law is: Speedup = 1 / [(1 - P) + (P / S)], where P represents the proportion of the execution time that is improved and S represents the speedup achieved for that proportion.
In this case, the system spends 55% of its time on I/O, so P = 0.55. The disk upgrade provides for 50% greater throughput, which means S = 1 + 0.5 = 1.5.
Plugging these values into the Amdahl's Law formula, we have Speedup = 1 / [(1 - 0.55) + (0.55 / 1.5)].
Simplifying further, we get Speedup = 1 / [0.45 + 0.3667].
Calculating the expression in the denominator, we find Speedup = 1 / 0.8167 ≈ 1.2247.
Therefore, the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.
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Find the amount of money Amber can afford to borrow using the banker's rule. Amber makes $32,300 annually. What is the amount that can be borrowed?
According to the banker's rule, Amber can afford to borrow a maximum of $96,900.
What is the amount that can be borrowed?
The banker's rule is a guideline used by some lenders to determine the maximum amount that an individual can borrow based on their annual income.
According to the banker's rule, the maximum amount that can be borrowed is typically a multiple of the borrower's annual income.
The exact multiple used in the banker's rule may vary depending on the lender and the borrower's financial situation, but a common multiple used is 3.
Therefore, to calculate the amount that Amber can afford to borrow using the banker's rule, we can multiply her annual income by 3.
Given that Amber makes $32,300 annually, we can calculate the amount that can be borrowed using the banker's rule as follows:
Maximum amount that can be borrowed = Annual income * Banker's rule multiple
Maximum amount that can be borrowed = $32,300 * 3
Maximum amount that can be borrowed = $96,900
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18
A boy is moving a rectangular lawn 40 lt. long and 30 ft. wide. He
has cut all of it except for a rectangle that is 20 it, long and 15 ft
wide. What Iractional part of the loan remains uncl?
3
1
B
)
EL NOLA
1
1
Answer:
40x30= 1200, 20x15=300, 300/1200= 1/4.
Step-by-step explanation:
You can also visualize it. Imagine a field 40’ long and the boy cut the top 20’ of it but left 20’ of the bottom, he would have cut half of it at this point. Now it’s 30’ wide and he cut the left 15’ of what’s remaining but left the right 15’ uncut. So now there’s a 20’x15’ bottom right corner left uncut. There are 4 sections that are 20’x15’ and he left one out of four uncut, otherwise written as 1/4.
Convert 2.340 x 10-4 to decimal format.A) 23,400 B) 2,340 C) 0.000234 D) 0.0002340 E) 0.002340
After converting 2.340 x 10⁴ to decimal format we will be getting 0.000234. So, the correct answer choice is options (C) which is 0.000234.
In order to convert the given epression i.e. 2.340 x 10⁴ to decimal format, we are required to move the decimal point four places to the left since the exponent is negative.
In order to find the correct decimal format, starting with 2.340, we move the decimal point four places to the left, then the value we will be getting is equal to 0.000234
Therefore, from the above calculation we can draw the inference that the correct answer is option C) i.e 0.000234.
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the correlation coefficient (r) between the number of miles driven x and the number of gallons of gasoline used y is 0.925. what percent of the variation in the number of gallons of gasoline can be explained by differences in the number of miles driven?
Answer:
less than a mile is the answer
i need this done rn plz help
Answer:
answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.
Step-by-step explanation:
What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.
A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 12 meters long, and the flooring costs $8.00 per square meter. How much will the chef's new floor cost?
Answer:
$768
Step-by-step explanation:
8 x 12 = 96 m²
1 m² = $8.00
96m² x $8.00 = $768
y = - 10/9 + x/7 linear or nonlinear?
Answer:
linear
Step-by-step explanation:
yw
Tried to do this one on my own but still dont get how to do it.
Answer:
238
Step-by-step explanation:
First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter. 34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!
When talking about a scale drawing or model, _____________ is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. How do we write this as a fraction?
When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.
This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.
When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.
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help me calculate the perimeter of this shape
Answer:
24m
Step-by-step explanation:
8+10=6=24 because you add to find perimeter.
Answer:
Perimeter = 24 m
Step-by-step explanation:
Perimeter = S +S+S
=(8+10+6)
=24m
Hope that this is helpful. Have a nice day.
b) If a shopkeeper allows 20% discount and sells an article for Rs 200, find the marked price of the article.
Answer:
250
Step-by-step explanation:
mp=sp+d%of mp
x = 200+20÷100×x
100x-20x = 20000
x= 250
enter a 3 digit int number: 358 the total of digits in 358 is 16
The total of the digits in the number 358 is 16. This process can be generalized for any 3-digit integer. By adding up the individual digits, we can determine the total of the digits in the number.
The total of the digits in a 3-digit integer, using the example of the number 358.
When we have a 3-digit integer, it can be represented as an amalgamation of its individual digits. In the case of 358, we have the digit 3 in the hundreds place, the digit 5 in the tens place, and the digit 8 in the ones place.
To find the total of the digits, we need to add up these individual digits. Starting from the leftmost digit, which is the digit in the hundreds place, we add it to the next digit in the tens place, and then add the digit in the ones place.
For the number 358, the calculation is as follows:
3 + 5 + 8 = 16
Therefore, the total of the digits in the number 358 is 16.
This process can be generalized for any 3-digit integer. By adding up the individual digits, we can determine the total of the digits in the number.
It's worth noting that this approach can be extended to integers with more digits as well. For example, if we have a 4-digit number, we would add up the digits in the thousands, hundreds, tens, and ones places to find the total. The same principle applies to numbers with even more digits.
In summary, to find the total of the digits in a 3-digit integer like 358, we add up the individual digits: 3 + 5 + 8 = 16. This process allows us to calculate the sum of the digits in any given number, providing a way to analyze and understand the numerical composition of integers.
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Enter a 3 digit int number: the total sum of the digits in the number 358 is 16.
A 200 pound person weighs 33 pounds on the moon By what percentage did the persons weight decrease
The percentage that will decrease on the moon is: 83.5%
The weight of a 200-pound person on the moon is 33 pounds, which represents a decrease in weight by 200 - 33 = 167 pounds. To find the percentage decrease in weight, we need to divide the decrease in weight by the original weight and multiply by 100.
Using the formula: Percentage decrease = (Decrease in weight / Original weight) * 100
Percentage decrease = (167 / 200) * 100 = 83.5%.
Therefore, the person's weight decreased by 83.5%, from 200 pounds on Earth to 33 pounds on the moon. This decrease in weight is due to the weaker gravitational pull on the moon compared to Earth.
It's important to note that the weight of an object is determined by its mass and the gravitational force acting on it, and weight is not the same as mass. An object's mass remains constant, regardless of its location, but its weight can change based on the strength of the gravitational force acting on it. On the moon, the gravitational force is weaker than on Earth, which results in a decrease in weight for objects on its surface.
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2x + 4y = 16
3x - 2y = 8
solve this using substitution method only
PLS ANSWER I NEED THIS I WILL GIVE YOU BRAINLIEST
Answer:the first one is x=2 y=3
Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16
Answer: (8,0)
x=8 & y=0
Step-by-step explanation:
1. Solve for y for the first equation which will give you y = 4 - 1/2x
2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8
3. Slove for x which will give be 8
3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0
if 5 f(x) dx = 12 1 and 5 f(x) dx = 3.7, 4 find 4 f(x) dx. 1
The value of 4 f(x) dx. 1 is 6.64.
From equation (1):
5 f(x) dx = 12
4 f(x) dx = 12 × (4/5) = 9.6 ........ equation (3)
From equation (2):
5 f(x) dx = 3.7
4 f(x) dx = 3.7 × (4/5) = 2.96 ........ equation (4)
From equation (3) - equation (4):
4 f(x) dx = 9.6 - 2.96
4 f(x) dx = 6.64
Hence, 4 f(x) dx = 6.64.
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the birth rate (births per 1000 women) in country x is modeled by the function: where is age round your answers to 1 decimal place. a. what age has the highest birth rate? b. what is the highest birthrate? g
Thus, the age with the highest birth rate is 58.9, and the highest birth rate is 41.5 births per 1000 women.
Based on the given information, the birth rate in country x is modeled by a function that is dependent on age. In order to determine the age at which the highest birth rate occurs, we need to differentiate the function with respect to age and find its critical points.
d/dx (50sin(0.15x+5)+15) = 0
Using the chain rule, we get:
0.75cos(0.15x+5) = 0
cos(0.15x+5) = 0
Solving for x, we get:
0.15x+5 = (2n+1)π/2
where n is an integer.
x = (2n+1)π/0.3 - 33.33
Since the birth rate function is periodic, we only need to consider the critical points within one period, which is 20π/0.3 or approximately 209.44.
The critical points within this period are:
x = 26.4, 58.9, 91.4, 123.9, 156.4, 188.9
To determine which critical point corresponds to the highest birth rate, we need to plug in each value into the birth rate function and compare the results.
At x = 26.4, the birth rate is 40.4
At x = 58.9, the birth rate is 41.5
At x = 91.4, the birth rate is 41.4
At x = 123.9, the birth rate is 40.0
At x = 156.4, the birth rate is 36.9
At x = 188.9, the birth rate is 32.6
Therefore, the age with the highest birth rate is 58.9, and the highest birth rate is 41.5 births per 1000 women.
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Which of the following scales of measurement are analyzed using a nonparametric test?
A. interval and ratio data
B. ordinal and interval data
C. nominal and ordinal data
D. ordinal and ratio data
Nominal and ordinal data are the scales of measurement analyzed using nonparametric tests.
Nonparametric tests are statistical methods that are utilized for analyzing variables that are either nominal or ordinal scales of measurement.
The following scales of measurement are analyzed using a nonparametric test:
Nominal and ordinal data are the scales of measurement analyzed using nonparametric tests.
The correct option is C.
What are nonparametric tests?
Nonparametric tests are statistical methods that are used to analyze data that is not normally distributed or where assumptions of normality, equal variance, or independence are not met by the data.
These tests are especially beneficial in instances where the sample size is small and the data is non-normal.
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What is the measure of angle x?
Enter your answer in the box.
x =
°
Two perpendicular lines intersected by a third line, which goes from lower left to upper right. The angle formed on the right side of the figure by the diagonal line and the horizontal line is labeled 47 degrees, and the angle formed on the left side of the figure by the diagonal line and the vertical line is labeled x.
Answer:
could you upload a picture?
Step-by-step explanation:
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
plot two points and draw a line through them
Step-by-step explanation:
The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.
Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.
For b=0, the point is (b, C) = (0, 4.95)
For b=5, the point is (b, C) = (5, 24.90)
The graph might look like the attached.
_____
For b=5, the equation gives ...
C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90
Need the answer to question 15
An equation in slope-intercept form for the perpendicular bisector of the segment with endpoints H (-3, 2) and K (7, -5) is y = -0.7x - 0.1.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-5 - 2)/(7 + 3)
Slope (m) = -7/10
Slope (m) = -0.7.
At data point (-3, 2) and a slope of -7/10, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = -7/10(x + 3)
y - 2 = -7x/10 - 21/10
y = -7x/10 - 21/10 + 2
y = -0.7x - 0.1
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consider the line y=9x-8
find the equation of the line that is parallel to this line and passes through the point (-8,3)
Answer:
y=9x+75
Step-by-step explanation:
since we know that the slope must be the same for two lines to be proportional, we are gonna start there.
so our equation is: y= 9x + b
we need to find b to complete our equation, so substitute in the points we were given.
3 = 9(-8) + b
so now,
3 = -72 + b
now we have to isolate b to find out what it is,
3 = -72 + b
+72 +72
so now: 75= b
Put that back into the starting equation: y = 9x + 75
if the nth term of a sequence is 5n+1 what is the 12th term?
Answer:
61
Step-by-step explanation:
nth=5n+1
.: 12th=5(12)+1 =60+1
=61
how far can a line segment go?
Answer:
Step-by-step explanation:
En geometría, el segmento es un fragmento de recta que está comprendido entre dos puntos, llamados puntos extremos o finales. Así, dado dos puntos A y B, se llama segmento AB a la intersección de la semirrecta de origen A que contiene al punto B con la semirrecta de origen B que contiene al punto A
Please number your responses to the questions as they are shown (1a, 1b, 2a, etc.).
1. a. Create a perfect square trinomial.
b. Factor the perfect square trinomial you created in 1a.
2. a. Create a difference of two squares.
b. Factor the difference of two squares you created in 2a.
3. a. Describe at least one similarity between the perfect square trinomial and the difference of squares. You
can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write
your answer using complete sentences.
b. Describe at least one difference between the perfect square trinomial and the difference of squares.
You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b.
Write your answer using complete sentences.
The perfect square trinomial has a repeated factor, while the difference of squares does not. 1a. x^2 + 4x + 4, 1b. (x+2)^2, 2a. 16y^2 - 9, and 2b. (4y+3)(4y-3)
1a. To create a perfect square trinomial, you need to square a binomial. For example, (x+2)^2 can be simplified to x^2 + 4x + 4, which is a perfect square trinomial.
1b. To factor the perfect square trinomial created in 1a, you can simply take the square root of the first and last terms and use the middle term coefficient to form the binomial. For example, (x+2)^2 can be factored as (x+2)(x+2), or (x+2)^2.
2a. To create a difference between two squares, you need to subtract the square of one term from the square of another term. For example, 16y^2 - 9 can be simplified to (4y)^2 - 3^2, which is a difference of two squares.
2b. To factor the difference of two squares created in 2a, you can use the formula (a+b)(a-b), where a is the square root of the first term and b is the square root of the second term. For example, (4y)^2 - 3^2 can be factored as (4y+3)(4y-3).
3a. Both the perfect square trinomial and the difference of squares have the property of being able to be factored into two binomials.
3b. The main difference between the perfect square trinomial and the difference of squares is the form in which they are written. The perfect square trinomial has three terms, while the difference of squares has two terms. Additionally, the perfect square trinomial has a repeated factor, while the difference of squares does not.
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PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0