Answer:
8 - 5x
Step-by-step explanation:
Let the number be 'x'
Product of 5 and 'x' = 5*x = 5x
8 - 5x
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Answer:
V = 2143.573333333333.... in³
Step-by-step explanation:
Formula for volume -> V = 4/3 πr³
We know the circumverence now we need to et the radius.
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
16pi/pi = 16/2 = 8
V=4/3πr³
V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...
A slice is cut from a circular pizza with a diameter of 18 inches. The arc length, or curved edge of the pizza, that was cut measures 6.5 inches. What is the measure of the central angle that was used when cutting the pizza to the nearest tenth?
A- 0.4 radians
B-0.7 radians
C- 1.4 radians D- 2.8 radians
The measure of the central angle that was used when cutting the pizza to the nearest tenth is 0.7 radians.
We are given that
Diameter of pizza =d=18 inches,
The distance across a circle through the center is called the diameter. The distance from the center of a circle to any point on the boundary is called the radius. The radius is half of the diameter: 2r=dhence radius of circular pizza =r\(=\frac{\mathrm{d}}{2}=\frac{18}{2}=9$\) inches,
Also, the arc length of a slice of pizza =L=6.5 inches.
Since we know that
As per central angle definition in geometry, it is the angle subtended by the arc of the circle at the center of the circle. The two radii make the arms of the angle. Central angle helps to know the proportion of the curve with respect to the circle.Central angle \($(\theta)=\frac{\text { Arc length }}{\text { Radius of circle }}=\frac{\mathrm{L}}{\mathrm{r}}$\)Equation 1 where \($\theta$\) is measured in radians.
Put the values of L and r in equation1, Central angle \($(\theta)=\frac{\mathrm{L}}{\mathrm{r}}$\)\(& =\frac{6.5}{9} \\\)
\(& =\frac{65}{90} \\\)
\(& =\frac{13 \times 5}{18 \times 5} \\\)
\(& =\frac{13}{18} \\\)
\(& =0.7 \text { radians }\end{aligned}\)
Therefore, the measure of the central angle to the nearest tenth is 0.7 radians.
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5/8 multiplied by 3/4 + 1/2
Answer:
31/32 or 0.96875
Step-by-step explanation:
first you muliply 5/8 by 3/4 then the answer add it to 1/2
suppose f(x)=x+3 find the graph of f(2x)
Answer:
2x + 3Step-by-step explanation:
f(2x) means that we have to substitute x with 2x
So, the answer is
2x + 3
The Drawing below represents a scale drawing of a room, when 1 inch = 16 feet
what is the approximate area of the store in square feet
(512)763-5807 my number
Answer:
im sorry what?
Step-by-step explanation:
i
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x + 48
O B. y=-3x + 48
O c. y = 3x +48
OD. y = -10x + 48
Answer:c
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
What percent of 200 is 7?
Find the missing value. Hint use a number line to find the missing value -3=7-
Please help I am so stuck
Point DD is located at (-2,-6)(−2,−6) on the coordinate plane. Point DD is reflected over the x-axis to create point D'D. Point D'D
is then reflected over the y-axis to create point D''D
What ordered pair describes the location of D''?D
Answer:
(2,6)
Step-by-step explanation:
since DD is at (-2,6) and you're reflecting it just count 6 spaces from the point to the x-axis then go up 6 more the point will be at (-2,6) and if you go to the right 2 spaces to the y-axis then go two more you'll end up at (2,6)
Which of the following functions describes the sequence 4, −2, 1, −1 41
The function that describes the sequence 4, −2, 1, −1, ... , 41 is given by:an = 10 - 6n.
The sequence 4, −2, 1, −1, ... , 41 is an arithmetic sequence, which means that the difference between each consecutive term is constant. To find the common difference,
we can subtract any two consecutive terms in the sequence. Let's use the first two terms as an example: −2 − 4 = −6. We can see that the common difference is −6.
Thus, the nth term of the sequence can be expressed as follows:an = a1 + (n - 1)dwhere an represents the nth term of the sequence, a1 represents the first term of the sequence, and d represents the common difference.
Using the values given in the problem, we can plug them into the formula and simplify:an = 4 + (n - 1)(-6)an = 4 - 6n + 6an = 10 - 6n
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The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
The sum of the angle measures of the polygon is 540°, the value of x is 5.
The sum of the angle measures of the polygon is 540°.
Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°. We can also calculate the sum of interior angles of the pentagon in the following way:We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°
If a polygon has x sides, then the sum of its angle measures can be found using the formula:
(x-2) * 180° = sum of angle measuresTherefore, for a polygon with x sides, the equation becomes:
⇒(x-2) * 180° = 540°
Solving for x, we get:
⇒x = (540° + 360°) / 180° + 2
⇒x = 3 + 2
⇒x = 5
So, the polygon has 5 sides.
Therefore, the value of x is 5.
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A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. To monitor this, they take 2 oz. Of water at 37 locations every hour, measure the ph at each of those locations, and find their average. If the ph level of the reservoir is ok, the results at each location will have varying results, with an average ph of 8. 5 and a standard deviation of 0. 22. If the ph level of the reservoir is ok, what is the probability that the sample average is more than 8. 42?.
A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. Then the probability that the sample is more than 8.42 is 0.0029 or 0.29%.
Using the normal distribution and the central limit theorem,
The mean is μ = 8.5
The standard deviation is σ = 0.22 .
A sample of 37 is taken, hence n = 37, s = 0.22/√37 i.e. s = 0.0362
The probability that the sample average is more than 8.40 is the p-value of Z when X = 8.4, hence:
Z = X - μ/σ
Z = 8.4 - 8.5/0.0362
Z = 2.76
Z = -2.76 has a p-value 0.0029
0.0029 = 0.29% probability that the sample average is more than 8.40.
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Find the perimeter of the polygon.
37
54
48
perimeter is just all sides added so the answer would be 37+54+48 = 139
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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What is the equation of the line shown in the graph?
Answer:
-1/5
Step-by-step explanation:
I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.
Your answer would be: y = -1/5x + 3 [if your question is asking for the slope intercept form]
OR
Your answer would be: -1/5 [if your question is asking for just the slope]
Fill in the blank. methods used that summarize or describe characteristics of data are called _______ statistics.
The methods used to summarize or describe characteristics of data are called descriptive statistics.
Descriptive statistics refers to the branch of statistics that focuses on summarizing and describing the main features or characteristics of a dataset. These statistics provide a way to organize, present, and analyze data to gain insights and understand the data's properties. Here are some key points about descriptive statistics:
Data summarization: Descriptive statistics aim to summarize the main aspects of a dataset, including measures of central tendency (such as mean, median, and mode) that provide information about the typical or average value of the data. Measures of dispersion (such as range, variance, and standard deviation) describe the spread or variability of the data points.
Presentation and visualization: Descriptive statistics often involve presenting data in a meaningful and concise manner. This can be done through various graphical representations, such as histograms, bar charts, box plots, or scatter plots. These visualizations help to provide a clear understanding of the distribution, patterns, and relationships within the data.
Sample statistics and population parameters: Descriptive statistics can be calculated for either a sample or an entire population. Sample statistics are calculated based on data from a subset of the population, while population parameters describe the entire population. Sample statistics, such as sample mean or sample standard deviation, provide estimates or approximations of the population parameters.
Descriptive statistics are widely used in various fields, including social sciences, business, healthcare, finance, and many others. They offer a concise and informative summary of data, enabling researchers, analysts, and decision-makers to gain insights, communicate findings, and make informed decisions based on the characteristics of the data.
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write an if statement that assigns 10000 to the variable bonus if the value of the variable goodssold is greater than 500000
The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.
To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.
Here's an example of how the if statement can be written in Python:
if goodssold > 500000:
bonus = 10000
In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).
By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.
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PLZ HELP ME ASAP
An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?
Answer:
2.18 radians
Step-by-step explanation:
125/360=x/2π
2.18 radians
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
there are x girls in a class, and their average height is m inches. in the same class, there are y boys with an average height of n inches. what is the average height of all the students in the class?
The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).
The average of any value is calculated by the formula -
Average = sum of the height of students ÷ total number of students
Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.
Sum of the heights of girls in a class = m × x
Sum of the height of boys in a class = n × y
Total number of students in a class = x + y
Keep the value in formula -
Average = (mx + ny)/(x + y)
Thus, average height is (mx + ny)/(x + y).
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Mod 8 Honors Assignment - Sequences and Series
Connecting Arithmetic and Geometric Sequences
Example: Three numbers form a geometric sequence whose common ratio
is 3. If the first is decreased by 1, the second decreased by 3, and the third
reduced to 2 less than half its value, the resulting three numbers form an
arithmetic sequence. Determine the original three numbers.
Step 1: Represent the 3 numbers that form a
geometric sequence:
x, 3x, 9x
Step 2: Represent the 3 numbers that form an
arithmetic sequence:
x − 1, 3x − 3,
9
2
2
x −
Step 3: Apply the difference property of an
arithmetic sequence:
( ) ( )
9
3 3 1
2
x
− − − =
Step 4: Solve for x x = 6
The original numbers are
x x x = = = 6, 3 18, 9 54
Show and Explain all work for each problem
1. Three numbers form a geometric sequence
whose common ratio is 0.5. If the first is reduced
to 10 more than one quarter its value, the second
decreased by 10, and the third increased by 10
more than twice its value, the resulting three
numbers form an arithmetic sequence. Determine
the original three numbers. 30 points
The numbers in the sequence will be 40, 80, and 160.
How to get the values?Let x be the first number in the sequence, so the first three numbers are {x, 0.5x, 0.5²x}.
Then
{x/4 + 10, 0.5x - 10, 2(0.5²x) + 10}
0.5x - 10 = x/4 + 10 + c = x/2 - 10 = x/4 + 10 + c
2(0.5²x) + 10 = 0.5x - 10 + c = x/2 + 10 = x/2 - 10 + c
Solve the second equation for c :
x/2 + 10 = x/2 - 10 + c
c = 20
Substitute this into the first equation and solve for x :
x/2 - 10 = x/4 + 10 + 20
x/4 = 40
x = 160
Then the terms are {160, 80, 40}
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right triangle abc is shown. triangle a b c is shown. angle a c b is a right angle and angle c b a is 50 degrees. the length of a c is 3 meters, the length of c b is a, and the length of hypotenuse a b is c. which equation can be used to solve for c? sin(50o)
The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).
In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).
The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.
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Perform the calculation using the correct order of operations. 5.25 41.8+ 34.1 = I
It's important to follow the order of operations to ensure accurate calculations. the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.
To perform the calculation using the correct order of operations, we need to follow the rules of precedence, also known as the PEMDAS rule. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the given expression step by step:
5.25 + 41.8 + 34.1
According to the PEMDAS rule, we need to start with any calculations inside parentheses, but there are no parentheses in this expression. Next, we move to addition and subtraction from left to right.
5.25 + 41.8 equals 47.05.
Now we add 34.1 to the result:
47.05 + 34.1 equals 81.15.
Therefore, the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.It's important to follow the order of operations to ensure accurate calculations.
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Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?
Answer:
He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas
Step-by-step explanation:
Answer:
you can get 2 pizzas
Step-by-step explanation:
It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.
10+10=20
20+the delivery fee=24
Use this model to calculate 3/8×2/6. A grid is shown with 8 rows and 6 columns. The top 2 rows are colored blue. The left 3 columns are textured. These colors and textures overlap on 6 cells indicated by the first 3 columns of the top two rows. A. 16/18
B. 13/24
C. 6/48
D. 5/48
To calculate 3/8 × 2/6 using a grid model, we need to use the following procedure:
First, represent the fraction 3/8 by shading three cells in each of the eight rows.Then, represent the fraction 2/6 by shading two cells in each of the six columns of the grid model.
Next, identify the cells that are shaded blue and textured. There are six cells where the blue shading and the texture overlap.Now count the number of cells that are shaded blue but not textured, there are 18 of them.Now count the number of cells that are textured but not shaded blue, there are 12 of them.
Finally, count the total number of cells that are shaded blue or textured.
There are 24 of them.
Thus, the product 3/8 × 2/6 is equal to the fraction of the total number of cells that are shaded blue or textured. This fraction is equal to 13/24.Therefore, the answer is B. 13/24.
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What is an ellipsoid? How does an ellipse differ from a sphere?
What is the equation for the flattering factor?
An ellipsoid is a three-dimensional geometric shape that resembles a stretched or flattened sphere. It is defined by two axes of different lengths and a third axis that is perpendicular to the other two. The equation for the flattening factor is given by \(\(f = \frac{a - b}{a}\),\)where \(a\) represents the length of the major axis and \(b\) represents the length of the minor axis.
An ellipsoid is a geometric shape that is obtained by rotating an ellipse around one of its axes. It is characterized by three axes: two semi-major axes of different lengths and a semi-minor axis perpendicular to the other two. The ellipsoid can be thought of as a generalized version of a sphere that has been stretched or flattened in certain directions. It is used to model the shape of celestial bodies, such as the Earth, which is approximated as an oblate ellipsoid.
An ellipse, on the other hand, is a two-dimensional geometric shape that is obtained by intersecting a plane with a cone. It is defined by two foci and a set of points for which the sum of the distances to the foci is constant. An ellipse differs from a sphere in that it is a flat, two-dimensional shape, while a sphere is a three-dimensional object that is perfectly symmetrical.
The flattening factor (\(f\)) of an ellipsoid represents the degree of flattening compared to a perfect sphere. It is calculated using the equation\(\(f = \frac{a - b}{a}\),\\\) where \(a\) is the length of the major axis (semi-major axis) and \(b\) is the length of the minor axis (semi-minor axis). The flattening factor provides a quantitative measure of how much the ellipsoid deviates from a spherical shape.
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The following data represent monthly returns (in percent):-7.24 1.64 3.48 -2.49 9.30The geometric mean return is the closest to ________.
Answer: 0.78%
Step-by-step explanation: The following data represent monthly returns (in percent):-7.24 1.64 3.48 -2.49 9.30 The geometric mean return is the closest to 0.78%.
(I saw this question and it's answer before)
The closest value to the geometric mean return is 2.72%.
How to determine the closest value to the geometric meanTo calculate the geometric mean return, we need to multiply all the individual returns together and then take the nth root, where n is the number of returns.
The given returns are:
-7.24, 1.64, 3.48, -2.49, 9.30
To find the geometric mean return, we perform the following calculations:
Geometric mean return = (1 + R1) * (1 + R2) * (1 + R3) * (1 + R4) * (1 + R5)^(1/n) - 1
Geometric mean return = (1 + (-7.24/100)) * (1 + (1.64/100)) * (1 + (3.48/100)) * (1 + (-2.49/100)) * (1 + (9.30/100))^(1/5) - 1
Calculating the expression gives us:
Geometric mean return ≈ 0.0272 or 2.72%
Therefore, the closest value to the geometric mean return is 2.72%.
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