The square root of 1/64 is 1/8.
To find the square root of 1/64, we can simplify the fraction first by taking the square root of both the numerator and the denominator separately.
The square root of 1 is 1,
and the square root of 64 is 8:
So, √(1/64)
= √1 / √64
= 1/8
Therefore, the square root of 1/64 is 1/8.
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Find the area of the figure.
Answer:
37.5
Step-by-step explanation:
Write equations for the horizontal and vertical lines passing through the point (-2,-5).
Answer:
y = -5x = - 2=============================
The horizontal line has same y- coordinate for each x- coordinate, and is parallel to the x-axis so it is:
y = - 5The vertical line has same x- coordinate for each y- coordinate, and is parallel to the y-axis so it is:
x = - 2Refer to graphs.
Help me with this i will pay alot
Answer:
It should be 2/6 if it lands on 2 and 1/6 if it lands on 3 or 1
Step-by-step explanation:
Hope this helps if not sorry
Answer: 1/6
Step-by-step explanation:
P(2), probability of getting a 2 = possibilities/outcome
P(2)= 2/6=1/3
P(1 or 3) = 3/6 = 1/2
P(2 and (3or1)) because there is an "and" here you multiply the 2 probabilities
P(2 and (3or1) = 1/3 * 1/2 = 1/6
what’s the answer ???
A graph that represent y = [x] over the domain 3 ≤ x ≤ 6 include the following: D. graph D.
What is a greatest integer function?In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.
Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:
f(x) = [x].
By critically observing graph D, we can logically deduce that only its parent greatest integer function has closed circles or dots that begins from a point with an x-value of 3 and an x-value of 6;
Domain = 3 ≤ x ≤ 6 or [3, 6].
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solve problem to find π (please add steps)
A=1/2πr^2
Answer:
Π = 2A/r^2
\(\pi = \frac{2a}{ {r}^{2} } \)
Step-by-step explanation:
Get rid of the half by taking it to the left side or multiplying a fraction by it's denominator to get rid of it. If you multiplying by it's denominator you must also do the same for the other side. Then get rid of the radius by dividing or taking it to the other side, isolating pi.
Hope this helps. :)
classify each factor according to whether it is associated with a movement along the aggregate demand curve or a shift of the aggregate demand curve.
The factors indicated, are classified according to whether it is associated with a movement along the aggregate demand curve or a shift of the aggregate demand curve.
Movement along the aggregate demand curve
inflation deflation the interest rate effectShift of the aggregate demand curve
the wealth effect a fall in government purchases a rise in taxes a fall in household expectations a rise in business expectations a fall in the growth rate of domestic GDP relative to foreign GDP a rise in the value of the domestic currency relative to foreign currencies the international trade effect What is the Aggregate Demand (AD) Curve?An aggregate demand curve depicts the total domestic expenditure on goods and services at each price level.
The AD curve is trending higher due to rising economic prosperity. People's spending grows as their income rises, leading to an increase in AD and vice versa. As a result of the positive link between income and AD, the AD curve slopes higher.
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Full Question:
Classify each factor according to whether it is associated with a movement along the aggregate demand curve or a shift of the aggregate demand curve.
the international trade effect inflation deflation the wealth effect a fall in government purchases a rise in taxes a fall in household expectations a rise in business expectations a fall in the growth rate of domestic GDP relative to foreign GDP a rise in the value of the domestic currency relative to foreign currencies the interest rate effectThe slope of the line in the graph is . The y-intercept is . The equation of the line is y = x
The given equation of the line, y = x, is in the form of slope-intercept form, y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In the equation y = x, we can observe that the coefficient of x is 1, which indicates that the slope of the line is 1. This means that for every unit increase in x, there will be an equal increase in y, maintaining a constant slope of 1.
However, the y-intercept is not provided in the given information. The y-intercept represents the point at which the line intersects the y-axis. Without knowing the y-intercept value, we cannot fully determine the equation of the line.
Therefore, based on the given information, we can conclude that the slope of the line is 1, but the equation cannot be determined without the y-intercept value.
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Find the slope between the two points on the line: (1.-19) (-2,-7)
Answer:
The answer of the question is -4
Answer:
-4
Step-by-step explanation:
what do I do and how do I do it
Answer:
C.
Step-by-step explanation:
Just use this
Rise = 1
-----------
Run = 2
That finds the slope for the + whatever you just have to look at the Y-value aka the straight up/down line
find x:
\( {9}^{2x + 1 = {81}^{3x + 1} \)
Answer:
\( x = - \frac{1}{4} \)
Step-by-step explanation:
\({9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} \)
WILL GIVE BRAINLIEST What is the y-intercept of the table shown?
0.4
2
0
1
Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *
Answer:
if it's wednesday
Step-by-step explanation:
A baker is filling an order which consists of loaves of bread, bags of rolls, and small boxes of croissants. She includes 8 of each item in the order and needs to calculate the weight for the delivery charge.
Bread 600 g per loaf
Rolls 0.25 kg per bag
Croissants 90 g per box
How many kilograms of baked goods are in the order?
A.
5.52 kg
B.
7.52 kg
C.
14 kg
D.
5.72 kg
Answer:
Step-by-step explanation:
A
y = x^2 - 4x + 4
Find the discriminant.
Determine the number
of real solutions.
Answer:
The discriminant is 0
There is 1 real solution
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.
Plug in these values into the formula:
D = b² - 4ac
D = (-4)² - 4(1)(4)
D = 16 - 4(4)
D = 16 - 16
D = 0
So, the discriminant is 0.
With a discriminant of zero, there is one real solution.
So, the number of real solutions is 1.
A metal ball-bearing with a circumference of 43.4 mm weighs 11.9
g. What is the density of the metal in g/cm3 (V
of a sphere = (4/3)πr3; circumference of a
circle = 2πr)?
Substituting the value of \( r \), we get \( V \approx 1105.4 \) mm³. Finally, dividing the mass of the ball-bearing (11.9 g) by its volume (1105.4 mm³) and converting the units, we can determine the density in g/cm³. The density is approximately 0.0108 g/cm³.
To explain the process in more detail, we start by finding the radius of the ball-bearing using the circumference formula. The circumference is given as 43.4 mm, so dividing it by 2π gives us the radius of approximately 6.912 mm.
Next, we calculate the volume of the sphere using the formula \( V = \frac{4}{3}\pi r^3 \). Plugging in the radius value, we obtain the volume of the metal ball-bearing as approximately 1105.4 mm³.
To calculate the density, we divide the mass of the ball-bearing (11.9 g) by its volume (1105.4 mm³). However, to obtain the density in g/cm³, we need to convert the volume from mm³ to cm³ by dividing it by 1000. After performing the division and conversion, we find the density of the metal ball-bearing to be approximately 0.0108 g/cm³.
Density is a fundamental property of matter that describes how much mass is contained within a given volume. In this case, it allows us to understand the mass-to-volume ratio of the metal ball-bearing. By calculating the density, we can characterize the compactness or heaviness of the material.
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The density of the metal in the ball-bearing is approximately 10.981 g/cm^3.
To find the density of the metal in g/cm^3, we need to calculate the volume of the metal ball-bearing and divide it by its mass.
Given information:
Circumference of the ball-bearing = 43.4 mm
Weight of the ball-bearing = 11.9 g
To calculate the volume of the ball-bearing, we need to find its radius (r). We can use the formula for the circumference of a circle:
Circumference = 2πr
Substituting the given circumference
43.4 mm = 2πr
To find the radius, divide both sides by 2π:
r = 43.4 mm / (2π) ≈ 6.9134 mm
Next, let's convert the radius to centimeters:
r = 6.9134 mm / 10 ≈ 0.69134 cm
Now we can calculate the volume of the ball-bearing using the formula for the volume of a sphere:
V = (4/3)πr^3
Substituting the radius:
V = (4/3)π(0.69134 cm)^3
Calculating this expression:
V ≈ 1.083 cm^3
Finally, to find the density, we divide the mass by the volume:
Density = Mass / Volume
Density = 11.9 g / 1.083 cm^3
Calculating this expression:
Density ≈ 10.981 g/cm^3
Therefore, the density of the metal in the ball-bearing is approximately 10.981 g/cm^3.
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math question (2 QUESTIONS!!)
Which expression represents the distance between −14.6 and −5.2 on the number line?
Drag and drop the correct expression into the box.
and
Which expression shows the distance on the number line between −12 and −1?
(IMAGES BELOW AND PLEASE EDIT THE IMAGE INSTEAD AND QUICK! also give brainlist if that is what its called)
Answer: |-14.6-(-5.2)|
|-12-(-1)| ==> 4th option
Step-by-step explanation:
In order to find the distance between two points, you have to subtract one point from another and take the absolute value of the difference.
|-14.6-(-5.2)|=
|-14.6+5.2|=
|-9.4|=9.4
|-14.6-(-5.2)| ==> |-12-(-1)| ==> 4th option
|-12+1|=
|-11|=11
how do you do vectors
Answer:
i learn and solve them easily they r easy
What is the relative frequency of ages 65 to 69? round your answer to 4 decimal places
1. The percentage of CEOs who are 59 years or younger: 57.5% 2. The relative frequency for ages 65 to 69: 0.1096 3. The cumulative frequency for CEOs over 55 years in age: 51
To answer these questions, we need to calculate the total number of CEOs and perform some calculations based on the given data. Let's proceed step by step:
Step 1: Calculate the total number of CEOs.
The total number of CEOs is the sum of the frequencies for each age group:
Total CEOs = 4 + 3 + 15 + 20 + 21 + 8 + 2 = 73
Step 2: Calculate the percentage of CEOs who are 59 years or younger.
To determine the percentage, we need to find the cumulative frequency up to the age group of 59 years and divide it by the total number of CEOs:
Cumulative frequency for CEOs 59 years or younger = Frequency for age 40-44 + Frequency for age 45-49 + Frequency for age 50-54 + Frequency for age 55-59
= 4 + 3 + 15 + 20 = 42
Percentage of CEOs 59 years or younger = (Cumulative frequency for CEOs 59 years or younger / Total CEOs) * 100
= (42 / 73) * 100
≈ 57.53%
Rounded to the nearest tenth, the percentage of CEOs who are 59 years or younger is 57.5%.
Step 3: Calculate the relative frequency for ages 65 to 69.
To find the relative frequency, we need to divide the frequency for ages 65 to 69 by the total number of CEOs:
Relative frequency for ages 65 to 69 = Frequency for age 65-69 / Total CEOs
= 8 / 73
≈ 0.1096
Rounded to four decimal places, the relative frequency for ages 65 to 69 is approximately 0.1096.
Step 4: Calculate the cumulative frequency for CEOs over 55 years in age.
The cumulative frequency for CEOs over 55 years in age is the sum of the frequencies for the age groups 55-59, 60-64, 65-69, and 70-74:
Cumulative frequency for CEOs over 55 years = Frequency for age 55-59 + Frequency for age 60-64 + Frequency for age 65-69 + Frequency for age 70-74
= 20 + 21 + 8 + 2
= 51
The cumulative frequency for CEOs over 55 years in age is 51.
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The complete question is:
Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the chief executive officers for the first 73 ranked firms
Age:
40-44
45-49
50-54
55-59
60-64
65-69
70-74
Frequency:
4
3
15
20
21
8
2
1. What percentage of CEOs are 59 years or younger? Round your answer to the nearest tenth.
2. What is the relative frequency of ages 65 to 69? Round your answer to 4 decimal places.
3. What is the cumulative frequency for CEOs over 55 years in age? Round to a whole number. Do not include any decimals.
Which statement below identifies the correct labeling of numbers in this diagram
Answer:
AMOS cameronbarlow52
so I can have friends
You spend $23 to spend on 4 avocados. After buying them you had $11. How much did each avocado cost? Write an equation about this.
Answer: Each avocado cost $3
Equation: 23 - 4x = 11
Answer:
$3 per avocados
Step-by-step explanation:
23-11= 12. 12 divided by 4 = 3
Find the slope line (- 6, 1), (4, 8)
Answer:
The slope is \( \frac{7}{10} \)
Step-by-step explanation:
☆Remember:
\(m = \frac{y_2 - y_1}{x_2 - x_1} \)
☆We just plug in now!
\(m = \frac{8 - 1}{4 - ( - 6)} = \frac{7}{10} \)
Divide g by seven than multiply by six
Answer:
6/7x
Step-by-step explanation:
g/7 x 6 = 6/7 x
Answer: g / 7 x 6
Explanation:
Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower.The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers.
Based on the ratio, complete the missing values in the table.
Tower Prisms Total blocks
A 16
B
35
PLEASE HELP ME
Here is the completed table:
Tower Prisms Total blocks
A 16 20
B 28 35
What are the number of blocks?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Ratio of prism shaped blocks to pyramid shaped blocks = number of prism shaped blocks : number of pyramid shaped blocks
4 : 1
Number of pyramid blocks when there are 16 prism shaped blocks : 16 / 4 = 4
Total number of blocks : 4 + 16 = 20 blocks
Number of prism blocks when there are 35 blocks : (ratio of prism blocks /sum of ratios) x total number of blocks
(4/5) x 35 = 28 blocks
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What is a phrase for the algebraic expression 4+x?
Answer:
hope this will help you
Step-by-step explanation:
if it doesn't mention me
Select all that are like radicals after simplifying.
a. √50x^2
b. √32x
c. √18n
d. √72x^2
A: √50x^2 and d: √72x^2 are like radicals.
Like radicals are square roots with the same coefficient outside the radical. For example, √50x^2 and √72x^2 can be simplified to √2 * √25x^2, which makes them like radicals. Simplifying the expressions helps to see if they are alike.
Expressions such as √32x and √18n cannot be simplified to have the same coefficient outside the radical and hence, they are not like radicals.
In conclusion, only √50x^2 and √72x^2 are like radicals after simplification.
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Answer:
A&D
Step-by-step explanation:
Got it right on edge
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
2 1/4
or
9/4
by counting the steps the answer can be found
Given p(x) = 2x³ + 7x² + 2x - 3 and p(1/2) = 0, then the factor of p(x) is
Options :
A(2x + 1)
B(2x - 1)
C(x - 2)
D(x + 2)
no spam and kindly explain your answer!
Example 4 A closed box has a fixed surface area A and a square base with side x. (a) Find a formula for the volume, V. of the box as a function of x. What is the domain of V? (b) Graph V as a function of x. (c) Find the maximum value of V.
use the work in example 4 in this section of the textbook to find a formula for the volume of a box having surface area 10.
The volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base.
To find a formula for the volume of the box with surface area A and square base with side x, we first need to find the height of the box. Since the box has a square base, the area of the base is x^2. The remaining surface area is the sum of the areas of the four sides, each of which is a rectangle with base x and height h. Therefore, the surface area A is given by:
A = x^2 + 4xh
Solving for h, we get:
h = (A - x^2) / 4x
The volume V of the box is given by:
V = x^2 * h
Substituting the expression for h, we get:
V = x^2 * (A - x^2) / 4x
Simplifying, we get:
V = (Ax^2 - x^4) / 4
The domain of V is all non-negative real numbers, since both x^2 and A are non-negative.
To graph V as a function of x, we can use a graphing calculator or plot points using a table of values. The graph will be a parabola opening downwards, with x-intercepts at 0 and sqrt(A) and a maximum at x = sqrt(A) / sqrt(2).
To find the maximum value of V, we can take the derivative of V with respect to x and set it equal to 0:
dV/dx = (2Ax - 4x^3) / 4
Setting this equal to 0 and solving for x, we get:
x = sqrt(A) / sqrt(2)
Plugging this value of x into the formula for V, we get:
V = A^1.5 / (4sqrt(2))
Therefore, the maximum value of V is A^1.5 / (4sqrt(2)).
To find the formula for the volume of a box having surface area 10, we simply replace A with 10 in the formula we derived earlier:
V = (10x^2 - x^4) / 4
Simplifying, we get:
V = 2.5x^2 - 0.25x^4
Therefore, the volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base. The domain of V is all non-negative real numbers.
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I will give brainliest!! 30 points. Look at the picture for the question…
C(x)=500/x+25 is a function used to calculate the average
The function C(x) = 500/x + 25 represents a mathematical model for calculating the average. It takes an input value x, representing the number of items or observations, and returns the average value. The function consists of two parts: 500/x and 25. The first part calculates the sum of the items divided by the number of items, and the second part represents a constant value that is added to the result.
The function C(x) = 500/x + 25 is commonly used to calculate the average value. In this equation, x represents the number of items or observations for which we want to find the average. The function can be divided into two components: 500/x and 25.
The first component, 500/x, calculates the sum of the items divided by the number of items. This portion of the function determines the magnitude of the average value. As the number of items increases, the denominator (x) becomes larger, resulting in a smaller fraction. Consequently, the average value decreases as more items are added.
The second component, 25, represents a constant value that is added to the result of the first part. This constant can be thought of as an offset or a baseline value. It ensures that the average value is not zero when there are no items (x = 0) and provides a minimum value for the average even when the number of items is small.
In conclusion, the function C(x) = 500/x + 25 provides a mathematical model for calculating the average value. It combines the sum of the items divided by the number of items with a constant offset to determine the average. Understanding the components of the function helps in interpreting the behavior of the average value in relation to the number of items.
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