Answer:
1/8th of a foot
Step-by-step explanation:
All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.
5 / 8 = 0.625 = 1/8
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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Which of the following numbers is divisible by 6?
3,246
9,787
8,752
5,967
Answer: 3246/6= 541
if u wanna know if a # is divisible by 6 or not, see if the # is divisible by 2 or 3. if it works for both, then it is divisible by 6
Long division 5th grade I’m sorry if I’m asking a lot but I’m really new to this
Answer:
95.2
Step-by-step explanation:
Answer:
95.2
Step-by-step explanation:
476÷5=95.2
\(\sqrt[5]{476} }\)
9x5=45
47-45=2
bring down the 6
26
5x5=25
26-25=1
Since the one is excess the answer is 95 and 1/5
but 1 divided by 5 equals .2
so the answer would b 95.2
A metal piece has four ridges of equal size on the top. The width of the piece is 3cm. Find the volume. Show your work
Please help soon I give 30 brainly
In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)
How can the volume be found?Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism
The volume of the rectangle can be epresed as ;
2*3*10 = \(600cm^3\)
The volume of the four triangular prism can be expressed as
20/4 = 5cm 10-5= 5cm
\(1/2 * 5 * 5*3*4 = 150cm^3\)
\(600- 150 =450 cm^3\)
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Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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Given f(x) = 2x - 3, find f(8)
***EXPLANATION NEEDED***
Answer:
f(8) = 13
Step-by-step explanation:
Step 1: Plug in 8 for the value of x.
\(f(8) = 2(8) - 3\)Step 2: Multiply 2 by 8.
\(f(8) = 16 - 3\)Step 3: Subtract 3 from 16.
\(f(8) = 13\)Therefore, f(8) = 13.
Answer:
Step-by-step explanation:
Hi there!
Given;
f(x) = 2x - 3
To find: f(8)
Replace 8 in each place where there is "x" in f(x).
or, f(8) = 2*8 -3
= 16-3
= 13
Therefore, f(8) = 13.
Hope it helps!
What is the value of f(-2) in the function represented by f(x) = -4x2 – 3x + 2
A. 24
B. 12
C. -2
D. -8
Answer:
D
Step-by-step explanation:
-4(-2)^2 -3(-2) +2
-4(4) +6+2
-16+8
-8
Answer:
D
Step-by-step explanation:
(-2)^2 = 4
(-4)4 = -16
-3(-2) = 6
-16+6 = -10
-10+2 = -8
solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2
y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:
First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 ≤ -5(0) - 10
0 ≤ -10
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 > 0 + 2
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).
The shaded region is shown below:
Graph of y≤−5x−10 and y>x+2
The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
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Function C gives the number of visitors in a museum some number of hours after the door opened at 9:00 AM. The equation C(2.6)=20 means that 10:30 AM, 20 people had entered. True or false?
Answer:
Step-by-step explanation:
1 hr 20 mins
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $10.50, and tickets cost $32.50 per person, including tax. Write and solve an inequality which can be used to determine 2, the number of people who can go to the amusement park.
Considering the definition of an inequality, the required inequality is for x ≤ 4.6 and the number of people who can go to the amusement park must be less than 4.
Definition of inequalityAn inequality is an inequality between two algebraic expressions of one or more unknowns, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The inequality between the two algebraic expressions only holds, or rather, is only true for certain values of the unknown.
Inequality in this caseBeing "x" the number of people who can go to the amusement park, and considering that:
A group of friends have no more than $160 to spend on parking and admission. Parking is $10.50, and tickets cost $32.50 per person, including tax.the inequality that expresses the previous relationship is
10.50 + 32.50x ≤ 160
Solving:
32.50x ≤ 160 - 10.50
32.50x ≤ 149.5
x ≤ 149.5÷ 32.5
x ≤ 4.6
Finally, the required inequality is for x ≤ 4.6 and the number of people must be less than 4.
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Question 5(Multiple Choice Worth 2 points)
(Rotations MC)
Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of P′ if the preimage is rotated 90° counterclockwise.
P′(1, 5)
P′(−1, −5)
P′(5, −1)
P′(−5, 1)
The image vertices of P' if the preimage is rotated 90° counter clockwise is P'(-5,1)
What is image vertices?An image vertex refers to a point in the plane that results from applying a transformation to a given vertex. A transformation is a mathematical operation that changes the position, size, or shape of a figure.
According to question:The image vertices of P' when the preimage polygon PSRT is rotated 90° counter clockwise can be found by applying a transformation to each vertex of the polygon. This transformation involves switching the x- and y-coordinates of each vertex and negating the new y-coordinate.
(x, y) -> (-y, x)
For the vertex P(1, 5), we can apply this transformation to get the image vertex P':
P' = (-5, 1)
Similarly, we can apply the transformation to the other vertices of the polygon:
S(1, 0) -> S'(0, 1)
R(−2, −3) -> R'(3, -2)
T(−4, 2) -> T'(2, 4)
Therefore, the image vertices of P' are P'(-5, 1), S'(0, 1), R'(3, -2), and T'(2, 4).
This means that the rotated polygon has the vertices P', S', R', and T', which form a new polygon that is 90° counter clockwise rotated from the original polygon PSRT.
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Helppp I don’t understand
Answer:
p = 2L + 2W
total fencing = 100 feet
we have w = 20
then
100 = 2L + 2W
100 = 2L + 2*20
100 -40 = 2L
2L = 60
L= 60/2 = 30
Celine is undecided as to whether to take a French course or a chemistry course. She estimates that her probability of receiving an A grade would be 1/2 in a French course and 2/3 in a chemistry course. If Celine decides to base her decision on the ip of a fair coin, what is the probability that she gets an A in chemistry
Step-by-step explanation:
1/2=0.52/3=0.6670.5×0.667=0.3331 in 3 chance of getting an A in Chemistry
Angle x measures 42•. Find measure of angle y.
Answer:
C
Step-by-step explanation:
Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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Classwork 1 - Week of 10/5 12-1 - Probability Events Murphy's math teacher sometimes wears scarves to class. Murphy has been documenting the relationship between his teacher wearing a scarf and when the class has a math quiz. The probabilities are as follows: P(wearing a scarf) = 10% P(math quiz) = 15% P(wearing a scarf and a math quiz) = 5% Are the events "the teacher is wearing a scarf" and "there will be a quiz" independent events? Explain.
In order to find out is the events are independent, we can check the following formula:
\(P(A\cap B)=P(A)\cdot P(B)\)Where A is the event "the teacher is wearing a scarf" and B is the event "there will be a quiz", and P(A⋂B) is the probability of both events together.
If the result from the formula is true, the events are independent.
So using P(A) = 10%, P(B) = 15% and P(A⋂B) = 5%, we have:
\(\begin{gathered} 0.05=0.1\cdot0.15 \\ 0.05=0.015\text{ (F)} \end{gathered}\)The result is false, that means the events are NOT independent (that is, they are dependent).
Complete the table.
y = 4 − x^2
x y
(x, y)
−2
−1
0
1
2
Answer:
(x, y) = (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0)
Step-by-step explanation:
Put the value where x is in the formula and do the arithmetic. As you know, a power of 2 means the value is multiplied by itself. You do that first, then subtract from 4. For repetitive calculations a calculator or spreadsheet can be helpful.
For example, ...
for x=-2, you have y = 4 -(-2)^2 = 4 -4 = 0
Here are the others:
(x, y) = (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0)
O GRAPHS AND FUNCTIONSCombining functions to write a new function that models a real-.
Solution
Since
A = 155N + 650
B = 585 N
T = A + B
=> T = 155N + 650 + 585N
=> T = 740N + 650
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
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A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate. Of calories per cup? How many calorie are there in 3 cups.
Answer: 384 calories
Step-by-step explanation:
Answer:
7335
Step-by-step explanation:
I need help with this question.
1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)
2. f(1)/f(0) = 1.15.
3. f(2)/f(1) = 1.149.
What function f determines the height of the beanstalk?Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.
Computation of the value of the following ration:i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:
f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]
f(1)/f(0) = 1.15/1
f(1)/f(0) = 1.15
ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:
f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]
f(2)/f(1)= (1.3225) / (1.15)
f(2)/f(1) = 1.149
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find the sizes of the lettered angle
\(find \: the \: sizes \: of \: the \: lettered \: angle\)
The measures of the angles are:
n = q = j = 57°
m = l = p = k = 123°
How to find the measures of the angles?Remember that vertical angles have the same measure, then:
n = 57°
And if the two horizontal lines are parallel, then the values in the correspondent quadrants are the same ones, then:
q = 57°
j = 57°
And adjacent angles add up to 180°, them:
57° + m = 180°
m = 180° - 57°
m = 123°
Then:
m = l = p = k = 123°
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Math Question,please help
Answer:
8
Step-by-step explanation:
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks She writes the equation of the function like this E(x)=7x-25where the number of doors she knocks on during the week and is her earnings for the week in dollars.Which of the following are reasonable interpretations of the -intercept of Jessica's function?Check all that apply.
A. She can earn $7 per week even if she does not knock on any doors.
B. If she does not knock on any doors during the week, she will lose 25$.
C. She will lose 7$ per week if she does not knock on any doors
D. Her expenses are 25$
Answer:
D. Her expenses are $25
Step-by-step explanation:
option D.
B might sound plausible mathematically, but in reality no expenses arise by doing nothing at all
How many vertcies does this shape have ???
The Answer Is 8.
Hope this helps. ^^
Simplify -16x^8/-8x^9
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
-16\(x^{8}\) / -8\(x^{9}\)
= (-16/-8)\(x^{8 - 9}\)
= 2 \(x^{-1}\)
= 2/x
Thus,
The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.
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help me please i’ll give u a cookie
Answer:
the answer is B
Step-by-step explanation:
i just did this.
A collection box contains 5 blue balls, 3 red balls and 2 green balls. If you were to pick 3 balls at random and without replacement, what is the probability of selecting 3 blue balls?
The probability of selecting 3 blue balls at random and without replacement from the collection box is 5/36.
To calculate the probability of selecting 3 blue balls, we need to use the formula for the probability of multiple independent events occurring together, which is the product of their individual probabilities.
The probability of selecting the first blue ball is 5/10 (since there are 5 blue balls out of a total of 10 balls in the box).
After selecting the first blue ball, there are 4 blue balls left out of 9 total balls remaining in the box, so the probability of selecting a second blue ball is 4/9.
After selecting the second blue ball, there are 3 blue balls left out of 8 total balls remaining in the box, so the probability of selecting a third blue ball is 3/8.
Therefore, the probability of selecting 3 blue balls is:
P(3 blue balls) = (5/10) * (4/9) * (3/8)
Simplifying this expression, we get:
P(3 blue balls) = 5/36
So the probability of selecting 3 blue balls at random and without replacement from the collection box is 5/36.
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. Why is the following arrangment of squares not an array?
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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