What is the value of S4 for
♾️. n-1
Σ 1/4(-1/3)
The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.
The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.
To find the value of S4, we substitute n = 4 into the expression and evaluate it.
♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)
Simplifying, we get:
♾️. 3 Σ 1/4(-1/3)
Since the term 1/4(-1/3) is constant, we can pull it out of the summation:
1/4(-1/3) ♾️. 3
Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:
1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12
Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.
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The probable question could be:
What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?
A) 1/9
B) 7/54
C) 5/27
D) 10/27
The dot plot shows the prices (in dollars) of jeans. What are the most appropriate measures to describe the center and the variation? Find the measures you chose.
To describe the center of the data, we can use either the mean or the median.
To describe the variation of the data, we can use either the range or the interquartile range (IQR).
Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.
To find the median and IQR:
Arrange the data in order from smallest to largest.
Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.
Find the first quartile, which is the median of the lower half of the data.
Find the third quartile, which is the median of the upper half of the data.
Calculate the IQR as the difference between the third quartile and the first quartile.
Here are the steps applied to the dot plot:
We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.
The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.
The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.
The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.
The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.
Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.
someone help me out plzzzzz
Answer: 56%, 22%, 4%, 18%
Step-by-step explanation: Add the numbers up to get 100 and each number out of 100 is that percentage.
The formula a² + b²>² is used to show that a triangle with sides a,
b, and c is an acute triangle. Which shows this formula solved for b?
A b>c-a
B b> c²-a
C b> √c-a
D b>√c²-a²
The expression that shows the formula solved for b is option D. b>√c²- a².
Relationship among the sides of an acute triangle.
There are different types of triangle in which acute triangle is one. An acute triangle is a type of triangle in which the measure of all its internal angles is less than a right angle. So that the length of its three sides are related by the formula:
a² + b² > c²
To show this formula solved for b, make b the subject of formula,
b² > c² - a²
Then find the square root of both sides of the expression to have,
b >√c²- a²
This shows the formula solved for b in terms of a and c.
Therefore, the expression that shows the formula for b in the given question is option D. b > √c²- a²
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Please answer this correctly
Answer
51
Explanation
85/15=y/9
765=15y
51
Answer:
y = 51
Step-by-step explanation:
These triangles are similar, so you can set up a proportion to solve for y:
\(\frac{85}{15} =\frac{y}{9}\)
Cross multiply:
\(\frac{765}{15y}\)
Divide 765 by 15:
y = 51
help with this please
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Mrs. Wolboldt ordered her daughter a book that cost $18.00. Tax is 6%. How much tax will she have to pay????
Answer:
$ 1.80
Step-by-step explanation:
Answer:
1.08
Step-by-step explanation:
If 3 builders can build 15 dog house in a day how many could 5 builders mak
Answer:
25
Step-by-step explanation:
First I would divide 15 by 3 which would get me 5 then i would multiply it by 5 to get the answer of 25.
Please help! Anyone who knows about SSS, SAS, ASA, and AAS theorems.
Answer:
Step-by-step explanation:
Given:
∠C ≅ ∠E
Statements Reasons
1). ∠C ≅ ∠E 1). Given
2). ∠ABC ≅ ∠DBE 2). Vertically opposite angles
3). ΔABC ~ ΔDBE 3). By AA postulate of similarity.
determine whether each of these pairs of sets are equal
a) (1, 3, 3, 3, 5, 5, 5, 5, 5}, {5, 3, 1} b) {{1}}, {1, {1}} c) Ø, {0}
These pairs of sets of numbers: (a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1} b) {{1}},{1,{1}} ) ∅,{∅} are equal, not equal and not equal respectively
How to determine the equality and not equality of set of numbers?The given pairs of sets of numbers are
a) (1, 3, 3, 3, 5, 5, 5, 5, 5}, {5, 3, 1} b) {{1}}, {1, {1}} c) Ø, {0}
To determine the reasons for the answers we have
(a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1}
All the number are distinct elements without any repetition is the same in both sets.
This implies that the sets are equal
b) {{1}},{1,{1}}
From the second set of numbers, the number of elements is not the same in both sets. The number of elements in the two sets are 1 and 2.
This therefore means that the pair of numbers are not equal
c) ∅,{∅}
In the third set of numbers, the number of elements is not the same in both sets.
The number of elements in the pairs are 0 and 1 in each of the sets . This implies that the pair of sets of numbers are not equal
In conclusion these pairs of sets of numbers: (a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1} b) {{1}},{1,{1}} ) ∅,{∅} are equal, not equal and not equal respectively
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How do you round 60.95 to the nearest whole number ? What will it become
Answer:
it would become 61
Step-by-step explanation:
the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.
The length of a side of a cube can be determinad
by finding the cube root of its volume. If a cube has
a volume of 64 cm3 what s the length of a side?
A 40 cm
B. 80 cm
C. 16.0 cm
D. 32.0 cm
Answer:
4 cm
which is none of the listed answers
Step-by-step explanation:
∛64 = 4
proof:
4x4x4 = 64
What is the slope of the line represented by the equation y = {x++?
0
그 4 14
o
0
Answer:
The slope is 4
Step-by-step explanation:
Given
\(y = 4x + \frac{1}{4}\)
Required
The slope
A linear function is represented as:
\(y= mx + c\)
Where
\(m \to slope\)
By comparison;
\(mx = 4x\)
\(m =4\)
Suppose the x-intercept of f (x) is (P,0) and the x-intercept of g(x) is (7,0). What is the value of p+
M
10
8.
7
ܗ0
5
3
2
g(g)
1
ܝ0ܝܕ
.10 9 .8 -7 . . .4 .5 .2 1 0 1_2_3 4 5 6 7 8 9 10
-1
2-
.3
ܗܿ ܫܼܲ ܪ ܇ ܀ 5
Answer:
Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of , which are: , and .
Then we proceed to find all elements of range:
Which corresponds to option D.
Step-by-step explanation:
What is x in this figure?
Answer: x=36
Assuming that O is the centre of the circle,
108+a+a=180(sum of the interior angles of a triangle is 180)
2a=180-108
2a=72
a=72÷2
a=36
a=x (angles in the same segment are equal)
Therefore x=36
Step-by-step explanation:
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
1. Which type of function best represents the data shown in the table above?
Linear Quadratic Exponential
2. Decide which of the statements are true regarding the table above. 000 The first differences are constant. The ratio of the first difference to the second difference is constant. The second differences are constant.
3. Which type of function best represents the data shown in the table below? Linear Quadratic Exponential
I need urgent help please please please please D:
The type of function that best represents the data shown in the table above is Linear.
The statement that is true regarding the table above is that The first differences are constant.
The type of function that best represents the data shown in the table below is a Linear function.
What is a linear function?A linear function is a type of mathematical function that can be represented by a straight line on a graph. It has the form:
f(x) = mx + b
where "m" represents the slope of the line, and "b" represents the y-intercept, which is the point where the line crosses the y-axis.
In this case the linear function is exhibited.
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Catherine Chao, Director of Marketing Research, needs a sample of households to participate in the testing of a new toothpaste package. She chooses thirty-six of her closest friends. Catherine's sample is a _____________.
Answer:
Convenience sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Quota sampling.
6. Convenience (opportunity) sampling.
Convenience sample can be defined as a sampling technique in which the representatives to be used are easily accessible. For example, a researcher using a social media poll such as Twitter polls.
In this scenario, Catherine Chao, Director of Marketing Research, chooses thirty-six of her closest friends to participate in the testing of a new toothpaste package. Thus, Catherine's sample is a convenience sampling.
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
Due tonight at 11 please help
Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.
Explain about the solid cylinder:Objects in three dimensions are represented by solid shapes. Search the area! Solid shapes include any other three-dimensional object, such as a laptop, phone, ice cream cone, balls, etc.
On a three-dimensional plane, a cylinder is a solid shape. It maintains a set spacing between two circular, parallel bases that are connected by a curved surface (like a tube).
Given that:
volume of cylinder V = 502 cu. ftRadius r = 4 ftThe formula for the volume of cylinder V:
V = πr²h
Put the values:
502 = 3.14*4²*h
502 = 3.14*16*h
h = 502 / 50.2
h = 10 ft
Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.
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Complete question:
Find the missing dimension of the given solid.
The figure is attached.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - x = 14
Answer:
\(y = \frac{1}{2} x + 7\)
Step-by-step explanation:
Slope-intercept form is written as y = mx + b. So, the y must be isolated. Therefore, to answer this question, isolate the y in 2y - x = 14.
1) Move the x to the other side.
\(2y - x = 14\\2y =x+14\)
2) Divide all terms by 2 to finally isolate x.
\(2y = x + 14\\\frac{2}{2}y= \frac{x}{2} + \frac{14}{2} \\y = \frac{1}{2} x + 7\)
3) Therefore, \(y = \frac{1}{2} x + 7\) must be the answer.
joyce is thinking of a 3 digit number. her number has the digits 8, 4, and 6. to the nearest hundred, it rounds to 600. what is the number?
Answer:
648
Step-by-step explanation:
It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.
Hope that helps!
-Sabrina
Answer:
648
Step-by-step explanation:
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Kiki was one of 8 children to share in a prize of $34.24. Kiki was hoping to win $5.
What is the difference between the amount of money Kiki won and the amount she hoped to win?
Answer:
She didn't get as much money that she hoped for
Step-by-step explanation:
What's
2/3 + 1/6 =
1/3 + 2/4 =
1/2 -1/4 =
3/8 - 1/3 =
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Elisa has 3/4 cup of flour. She used 3/6 to make cupcakes. How much flour does Elisa have left?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
A. 5/6 B. 5/6 C. 1/4 D. 1/24
Step-by-step explanation:
A. 12+3= 15 = 5
— — —
18. 18. 6
B. 4+6=10= 5
— — —
12. 12. 6
C. 4-2=2 = 1
— — —
8. 8. 4
D. 9-8 = 1
— —
24. 24
Find the length of the hypotenuse of the right triangle.
Answer:
The length of the hypotenuse is 100.
Step-by-step explanation:
To find the length of the hypotenuse, we use the following formula:
c=\(\sqrt{a^2+b^2}\)
c=\(\sqrt{28^2+96^2}\)
c=\(\sqrt{10,000}\)
c=100
Therefore, the length of the hypotenuse is 100.
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic