Answer:
1/2 is a rational number.
Step-by-step explanation:
A rational number can be expressed as a ratio of two numbers. 1/2 is a ratio.
It is also a real number, however you do not list that as a category, so from what you listed, it is only a rational number.
Math
Find all the possible values of X
|x|= 5
Please be serouse
how would you find a answer to x(2)+6
-4 + -7 ?
HELLPP
Can somebody explain to me please
Answer:
−4−7
=−4+−7
=−11
Step-by-step explanation:
if its the same sign add, different signs keep the sing of the larger number
Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (-2, 4) on the circle exterior interior
Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.
Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.
Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure
Answer: 1,4 2,1 5,1 4,4
Step-by-step explanation:
hope it helps
Answer:
D
Step-by-step explanation:
in what ways can vertical, horizontal, and oblique asymptotes be identified? use a mathematical example to explain the ways.
A function's behaviour as x approaches positive or negative infinity might reveal vertical, horizontal, and oblique asymptotes. As x approaches a value, vertical asymptotes occur. As x approaches infinity, horizontal asymptotes occur. As x approaches infinity, oblique asymptotes occur.
To identify vertical asymptotes, we examine the behavior of the function as x approaches a particular value. For example, let's consider the function f(x) = 1 / (x - 2). As x approaches 2, the denominator becomes very close to zero, causing the function to approach infinity or negative infinity. Hence, x = 2 is a vertical asymptote.
Horizontal asymptotes are determined by analyzing the behavior of the function as x approaches positive or negative infinity. For instance, let's take the function f(x) = (3x^2 + 2x - 1) / (2x^2 + x + 1). As x approaches infinity or negative infinity, the highest power terms dominate the function. In this case, both the numerator and denominator have the same highest power term (x^2), so the ratio of the coefficients determines the horizontal asymptote. Therefore, the horizontal asymptote for this function is y = 3/2.
Oblique asymptotes occur when the function approaches a non-horizontal line as x approaches positive or negative infinity. Consider the function f(x) = (3x^2 + 2x + 1) / (x + 1). By performing polynomial long division or synthetic division, we can see that the quotient is 3x + 1. As x approaches infinity or negative infinity, the function approaches the line y = 3x + 1. Hence, y = 3x + 1 is an oblique asymptote for this function.
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Answer as quickly as you can! I will mark Brainliest:
Lincoln spends $55 of his allowance every month and saves the rest.
This month he decides to spend only $45, increasing his savings by 40%.
What is his monthly allowance?
On solving the provided question we can say that by percentage 40% of savings = 40% of 20 = 40/100 X 20 = $8 140% of savings = 140% of 20 = 140/100 X 20 = $28 his monthly allowance is = $8 + $28 = $36
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Increase in savings $20
by percentage
40% of savings = 40% of 20 = 40/100 X 20 = $8
140% of savings = 140% of 20 = 140/100 X 20 = $28
his monthly allowance is = $8 + $28 = $36
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|48+(-6)|+|-35+7|
Please help me with this! Thank you!
\(\huge\text{Hey there!}\)
\(\mathsf{|48 - 6| + |- 35 + 7|}\)
\(\mathsf{|48 - 6| = \boxed{\bf 42}}\)
\(\mathsf{= 42 +| -35 + 7|}\)
\(\mathsf{|-35 + 7| = \boxed{\bf -28}}\)
\(\mathsf{= 42 + |- 28|}\)
\(\mathsf{= 42 + 28}\)
\(\boxed{\mathsf{= \bf 70}}\)
\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Find the mean and the standard deviation of the data set {2, 3, 6, 7, 6}.
A. The mean is 4.8 and the standard deviation is about 3.76.
B. The mean is 24 and the standard deviation is about 4.16.
C. The mean is 4.8 and the standard deviation is about 1.94.
D. The mean is 5.2 and the standard deviation is about 2.04.
Answer: the mean of the data set is 4.8, and the standard deviation is about 1.94. The answer is C.
Step-by-step explanation:
To find the mean and the standard deviation of the data set {2, 3, 6, 7, 6}, we can use the following formulas:
Mean = (sum of all data values) / (number of data values)
Standard deviation = sqrt[(sum of squared differences from the mean) / (number of data values)]
First, we need to find the mean:
Mean = (2 + 3 + 6 + 7 + 6) / 5
Mean = 4.8
Next, we can find the standard deviation:
Calculate the differences between each data value and the mean:
2 - 4.8 = -2.8
3 - 4.8 = -1.8
6 - 4.8 = 1.2
7 - 4.8 = 2.2
6 - 4.8 = 1.2
Square each difference:
(-2.8)^2 = 7.84
(-1.8)^2 = 3.24
(1.2)^2 = 1.44
(2.2)^2 = 4.84
(1.2)^2 = 1.44
Find the sum of the squared differences:
7.84 + 3.24 + 1.44 + 4.84 + 1.44 = 18.80
Divide the sum by the number of data values:
18.80 / 5 = 3.76
Take the square root:
sqrt(3.76) = 1.94 (rounded to two decimal places)
Therefore, the mean of the data set is 4.8, and the standard deviation is about 1.94. The answer is C.
!!!!!!!!!HELLLLLPPPP!!!!!!
Find the maximum and minimum values. You will want to draw a graph to determine the intersections of the constraints below.
f=2x + 5y, subject to the constraints
3x + 2y ≤ 6,
-2x + 4y ≤ 8,
x 20,
y 20.
12-²
Maximum: 4: Minimum: 4
12-
Maximum: 4: Minimum: 0
Maximum: 10; Minimum: 0
13-
Maximum: 4: Minimum: 0
Answer:
maximum 4 Mimimum I'm 0 or maximum 10 minimum 0
Dominic is shopping at a store that is offering a discount of 15%, percent off the usual price of any item. 1. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p. 2. How much discount does Dominic receive on an item whose usual price is pounds 80pounds,
Dominic receives 12 pounds on an item whose usual price is 80 pounds
Write an equation that represents the amount of discount offered (d) on an item whose usual price is p.The given parameters are:
Discount =15%
Price = p
Amount of discount = d
The equation that represents the amount of discount offered (d) on an item whose usual price is p is
d = Discount * p
This gives
d = 15% * p
Evaluate
d = 0.15p
How much discount does Dominic receive on an item whose usual price is 80 pounds,In (a), we have
d = 0.15p
Here, p = 80
So, we have
d = 0.15 * 80
Evaluate
d = 12
Hence, Dominic receives 12 pounds on an item whose usual price is 80 pounds
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Answer:
If the store is offering a discount of 15% off the usual price
the equation is \(D=0.15p\)
Dominic gets a £12
discount on an item whose usual price i
Use the combination formula to solve a problem when n = 7 and r = 5.
Answer:
21 is your answer
Step-by-step explanation:
The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:
C(n,r) = n! / (r! * (n-r)!)
where n is the total number of items and r is the number of items to be chosen.
Using this formula, we can solve the problem when n = 7 and r = 5 as follows:
C(7,5) = 7! / (5! * (7-5)!)
= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]
= (7 x 6) / (2 x 1)
= 21
Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.
which graph represents the line x=4
Answer:
B
Step-by-step explanation:
With answer B, x is marked 4 on the x-axis and because there was no given y-intercept, the line must be vertical.
Benny's arcade has five video game machines. The average time between failures (i.e. the average time between jobs) is 34 hours. The maintenance engineer can repair a machine in about 13 hours. Assume the failure time and repair times are both exponentially distributed. What is the average time in HOURS from when a machine breaks until it is fixed?
The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
Given,
Benny's arcade has five video game machines
The average time between failures = 34 hours
The maintenance engineer can repair a machine in about = 13 hours
The failure time and repair times are both exponentially distributed
The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.
In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,
λ_f = 1/34λ_r = 1/13
Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.
So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13
= 0.0885 hours⁻¹ (approximately)
Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).
Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
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21. Given the equation of the circle (x + 3)² + (y-2)² = 16, what is the center and radius of the circle? A (3.2):r = 4 B. (-3,-2); r = 8 C. (-3,2); r = 4 D. (3.-2): r=8
can somebody help me with this please it’s due tomorrow
Answer:
get good at math
Step-by-step explanation
The answer is in the picture
what is the answer of this questoin 2c-3b+6+7b-2b+11?
Answer:
\(2c+2b+17\)
Step-by-step explanation:
-----------------------
Given:
\(2c-3b+6+7b-2b+11\)
---------->>>>
Collect like terms.
\(2c+(-3b+7b-2b)+(6+11)\)
---------->>>>
Simplify
\(2c+2b+17\)
------------------------
Hope this is helpful.
Answer:
2c-2b+17 if using algebra
Step-by-step explanation:
firstly group like terms 2c+(-3b)+7b-2b+6+11
2c-2b+17
Select the correct answer. How can you write the expression 2 - (p + 6) in words? O A two minus the sum of p and six OB. two added to the difference of p and six OC. the difference of two and p times six OD. the sum of two and padded to six
Answer:
the correct one is the first option
Step-by-step explanation:
hope I'm helpful to you, please mark me as a brainlist
A rectangle has perimeter 16 m. Express the area A (in m2) of the rectangle as a function of the length, L, of one of its sides.
The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
What is the perimeter of a rectangle?The perimeter of a rectangle is P = 2(L + W) where
L = length of the rectangle and W = width of the rectangleGiven that P = 16 m,
P = 2(L + W)
16 = 2(L + W)
16/2 = L + W
L + W = 8
So, W = 8 - L
What is the area of the rectangle?
The area of the rectangle, A = LW where
L = length of the rectangle and W = width of the rectangleSince W = 8 - L, substituting W into the equation for A, we have
A = LW
A = L(8 - L)
A = 8L - L²
So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
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The team from the example on the previous page has started to draw a histogram for its 32 data points: How high (i.e., to what numbers on the vertical axis) should the team draw the bars in the remaining three categories?
The height of the bars in the remaining three categories should be determined by the frequency of the data points in those categories.
A histogram is a graphical representation of the distribution of numerical data. The bars of the histogram are drawn with their bases on the horizontal axis, and the height of each bar represents the frequency of the data points in that category.
To determine the height of the bars in the remaining three categories, the team should calculate the frequency of the data points in those categories and scale the height of the bars accordingly. The vertical axis should be labeled with a suitable scale that accommodates the maximum frequency observed in the data.
This will allow for an accurate representation of the distribution of the data points.
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 2, 5
3 1, 3, 4
4 1, 1, 5
5 0, 6
6 7
Key: 3|1 means 3.1
What is the mean, and what does it tell you in terms of the problem?
3.1 feet; The value means the furthest the ball went.
3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
4.1 feet; The value means this measurement had the most occurrences.
4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
The mean distance thrοwn is 14.5 feet.
What is Mean?In mathematics, the mean is a measure οf central tendency that represents the average value οf a set οf numbers. It is calculated by adding up all the values in the set and dividing by the tοtal number οf values.
Tο find the mean οf the distances thrοwn, we need tο add up all the distances and divide by the tοtal number οf distances:
Mean = (220 + 225 + 331 + 414 + 415 + 506 + 6*7) / 14
Mean = 203 / 14
Mean = 14.5
Sο the mean distance thrοwn is 14.5 feet.
In terms οf the prοblem, the mean distance tells us the average distance that the heavy ball was thrοwn. This can be useful infοrmatiοn fοr a variety οf reasοns, such as determining the strength οf the thrοwer οr the apprοpriate size οf the playing field.
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the covariance and the correlation coefficient between two variables should always have the same sign.True/False
The covariance and the correlation coefficient between two variables should always have the same sign is False.
The covariance and the correlation coefficient between two variables can have different signs. The covariance is a measure of the direction and strength of the linear relationship between two variables. It can be positive, indicating a positive relationship where both variables move in the same direction, or negative, indicating an inverse relationship where the variables move in opposite directions.
On the other hand, the correlation coefficient is a standardized measure of the linear relationship between two variables, ranging from -1 to 1. It can also be positive or negative, depending on the direction of the relationship, but its magnitude is always between 0 and 1, indicating the strength of the relationship.
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A student stands at the entrance of her school and notes the colors of cars that enter the parking lot. The results are shown in the bar graph below.
which of the following is a true statement regarding the info in the bar graph?
a. car color is a discrete variable
b. car color is a catagorial variable
c. car color is a continuous variable
d. frequency is a discrete variable
thank ya so much and have a lovely day!!
Answer:
B
Step-by-step explanation:
Color of car is a categorical variable. its value are not numerical
The frequency of cars entering the parking lot is a discrete variable so option (d) will be correct.
What is a variable?A variable in mathematics is a representation of any quantity whose value is changeable.
For example speed of a vehicle is a variable.
The value of the variable changes but the meaning of the variable never for example speed of vehicle changes but the word speed does not change.
A discrete variable is a variable whose values are different.
Since car color is not a variable because the meaning of variable is not constant in car color.
The frequency of vars is a discrete variable because it is different for each kind of car.
Hence "The frequency of cars entering the parking lot is a discrete variable".
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The locus of point equidistant from three vertices of a triangle is……………
Answer:
circumcenter
Step-by-step explanation:
You want to know the name of the point equidistant from the vertices of a triangle.
CircumcircleThe circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.
The point equidistant from the vertices of a triangle is the circumcenter.
__
Additional comment
The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.
Jasmine is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number line below represents the solutions to this situation?
one last question for today this all
Check the picture below.
the function is the Cost function for the bagels, of course that'd depend on the price of each bagel, so the cost C(x) is dependent on how many independent bagels Naomi is buying, as you can see in the table in the picture.
now, if Naomi gets 10 bagels, that simply means that x = 10, thus the price is C(10), or namely C(10) = 1.25(10), so Naomi better check her pockets for $12.50 for the bagels, hopefully she'll get some cream cheese too and cocoa.
Evaluate: 6x2 + (9y-2)+y when x= 3 and y=8.
Answer:
98
Step-by-step explanation: All you have to do is multiply 6 by 3 and then multiply that answer by 2. Then you multiply 9 by 8 and subtract 2, then you add all that together and finally, subtract it by 8
Answer:
The answer is 402.
Step-by-step explanation:
First thing to do is substitute the variables.
6(3)^2+(9(8)-2)+8
Now, multiply and subtract what is in the parenthesis.
6(3)^2+(72-2)+8
6(3)^2+70+8
Now, multiply once again.
18^2+70+8
Now, simplify the exponents.
324+70+8=402
Need helppppppp asapppppp
All the required relationship is given below.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A linear function: y = mx + b,
and an exponential function : y = a(b)ˣ
In a linear function,
y = mx + b.
m is the slope or rate of change and b is the y-intercept.
In an exponential function: y = a(b)ˣ,
a is the initial value and r is the rate of change.
When the x-values rise by a certain amount, the y-values change in different ways for linear and exponential relationships:
The y-values in a linear connection differ by an equal amount.
The y-values have identical ratios in an exponential relationship.
Because both linear and exponential equations must rise at the same pace as they began, they are similar.
Therefore, the required relationship is given above.
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In a country there is 65 000 people in the defence services.They work in the army ,navy,and air force in the ratio 5:2:3. how many people are in each service
Answer:
Army--> 32 500
Navy --> 13 000
Air force --> 19 500
Step-by-step explanation:
Which shaded region is larger? Explain your reasoning..
Answer:
It's B because If you cover the blue you will see space that looks like a triangle. Do the same to A. You see how in B the Triangle looking thing is lower than A because A triangle thing is like more up and wider so it has space. Also B has a little space than A
Step-by-step explanation: