The distance between each pair of letters in the word is given by the equation A = 5 inches
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the distance between each pair of letters be A
Now , the equation will be
Let the total distance of the wide banner be = 61 inches
Now , the word is given by { E , A , G , L , E , S }
The number of letters in the word = 6 letters
The width of each letter = 6 inches
So , the total length of all the letters = 6 x 6 = 36 inches
The remaining distance in the wide banner = total distance of the wide banner - total length of all the letters
On simplifying the equation , we get
The remaining distance in the wide banner = 61 - 36
The remaining distance in the wide banner = 25 inches
Now ,
The distance between each pair of letters = remaining distance in the wide banner / 5 spaces
On simplifying the equation , we get
The distance between each pair of letters A = 25 / 5
The distance between each pair of letters A = 5 inches
Hence , the equation is A = 5 inches
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Parallelogram EFGH has vertices E(1, 3), F(3, 5), and G(4, 2). What are the coordinates of point H?
The coordinates of the point H of the parallelogram is H ( 2 , 0 )
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as EFGH
Now , the coordinates of the parallelogram is given by
Substituting the values in the equation , we get
The coordinate of E = E ( 1 , 3 )
The coordinate of F = F ( 3 , 5 )
The coordinate of G = G ( 4 , 2 )
The coordinate of H = H ( x , y )
Now , the difference in the x coordinates of F and G = ( 4 - 3 ) = 1
The difference in the y coordinates of F and G = ( 2 - 5 ) = -3
So , the coordinates of the point H = x coordinate of E + 1 and y coordinate of E - 3
On simplifying the equation , we get
The coordinate of H = H ( 2 , 0 )
Hence , the coordinates of the parallelogram is H ( 2 , 0 )
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The angles in a straight line are X degree, 3x degree and 6x degree. find the measure of each angle.
Answer:
"18", "54", and "108"
Step-by-step explanation:
Angles:A straight line has an angle of 180 degrees. It can be seen as "half a circle", which has an angle of... 360 degrees, and since it's half, it's just 180 degrees.
Now we're also given the angles that compose the straight line (x, 3x, and 6x), and by adding these angles together, we should get the angle of the straight line. So that means that: [tex]x+3x+6x=180[/tex]
Now from here we can just combine them all into one term:
[tex]10x=180[/tex]
Now divide both sides by 10:
[tex]x=18[/tex]
Our angles are equal to "x", "3x", "6x", and to calculate their value, we just plug in "18" as x giving us: "18", "3(18)", "6(18)" which simplifies to the angles: "18", "54", "108"
Find the value of x of the triangle below
Angles in a triangle add to 180 degrees
make a little equation for that
58 + 42 + x = 180
simplify
100 + x = 180
x = 180 - 100
x = 80
Hope this helps,
- Jeron :- )
A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and
67. Find the five-number summary used in a boxplot. Which boxplot best represents the data?
+
a.
b.
C.
d.
++++
50 55 60 65 70 75 80 85 90 95 100 105
+4
+ +
+
+++
50 55 60 65 70 75 80 85 90 95 100 105
4
4++
50 55 60 65 70 75 80 85 90 95 100 105
◆
50 55 60 65 70 75 80 85 90 95 100 105
Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.
what is mean ?The mean of even a dataset, often described as the mean and median, is the sum including all values divided by the overall number of values (as opposed to the geometric mean). This represents the most often used indicator of central tendency and is constantly referred to as the "mean." This is obtained by dividing the number of values contained within the dataset by the sum of all the values. Calculations can be conducted using either raw data or data that has been integrated into frequency tables. A number's average is called to as its average. Simple statistics can be used to determine: After adding up all the digits, divide by the number of digits total. the sum divided by the number.
given
The first quartile, median, third quartile, and maximum are the five summaries that make up the distribution of the ordered observation.
Five-number formula overview
Minimum: The first piece of the set
(n+1)/4 is the first quartile.
Average: (n+1)/2
Quartile three: 3(n+1)/4
Maximum: The set's final component
The five-digit grade summary (90, 85, 97, 76, 89, 58, 82, 102, 70, 67)
58 minimum
70 in the top quartile
Average: 83.5
90th percentile:
The most: 102
Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.
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What is the probability of rolling a number greater than or equal to 2 on a standard six-sided die? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
The probability of getting a number greater than or equal to 2 is 0.8333( 3 decimal place)
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space/ total possible outcome
The total outcome on a standard six-sided die is 6
The sample space of getting a number greater or equal to 2 is 2,3,4,5,6 = 5
Therefore the probability of getting a number greater or equal to 2 is = 5/6
= 0.833 ( 3 decimal place)
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Find: (6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)
The simplification of the algebraic expression results in 7m^5 - 3m^3 - 3.
What are algebraic expressions?Algebraic expressions are mathematical expressions that consist of integers, variables, and arithmetic operations. To simplify algebraic expressions, some mathematical properties are being used such as distributive property in opening the brackets and additional property in adding like terms together.
Given that:
= (6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)
Apply distributive property
= 6m^5 + m^5 - m^3 -2m^3 - 4m + 4m + 3 - 6
Add like terms
= 7m^5 - 3m^3 - 3
Therefore, we can conclude that the simplification of the algebraic expression results in 7m^5 - 3m^3 - 3.
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Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function. y=3sqaure root-8x-4
The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
f(x) = 3√(-8x - 4)
Simplify the function, then we have
f(x) = 3√(-8x - 4)
f(x) = 6√- (2x + 1)
Divide the equation by 6, then we have
g(x) = √(-2x - 1)
Replace -(2x + 1) with x, then we have
h(x) = √x
The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.
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Answer:
Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.
The graph is reflected over the x-axis.
The graph is also reflected over the y-axis.
The graph is vertically stretched by a factor of 2.
The graph is translated ½ unit to the left.
Step-by-step explanation: All possible answers for edge
An ice cream factory makes 150 quarts of ice cream in 5 hours how many quarts could be made in 36 hours what’s was the rate per day
1080 quarts can be made in 36 hours.
The rate per day is 30 quarts.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
150 quarts of icecream = 5 hours
This can be written as,
5 hours = 150 quarts
Divide both sides by 5.
1 hour = 30 quarts
Multiplying 36 on both sides.
36 hours = 36 x 30 quarts
36 hours = 1080 quarts
Thus,
1080 quarts can be made in 36 hours.
30 quarts per day.
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You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $180,000. Your bank requires 1/5
The amount of the down payment for the house, given the market value and the amount your bank requires is $ 36, 000
How to find the down payment ?The bank that you work for requires that for mortgage loans, the applicants ( in this case Mr. and Mrs. Brady) , should be able to pay 1 / 5 of the market value of the property as down payment.
The down payment is therefore :
= Market value of house x Requirement of bank
= 180, 000 x 1 / 5
= 180, 000 / 5
= $ 36, 000
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The rest of the question is:
Your bank requires 1/5 of the market value as a down payment.
What is the amount (in $) of the down payment?
15.0782 to one decimal place
Answer:
15.1
Step-by-step explanation:
15.0782 is between 15.0 and 15.1. It is closer to 15.1
find the value of x and please show process!
Problem 1:
The US Department of Energy conducts weekly surveys of approximately 900 gasoline stations to
determine the average price per gallon of regular gasoline in the U.S. On December 29, 2003, the average price was $1.478 per gallon.
a. Identify the population.
b. Identify the sample.
c. Identify the parameter.
d. What is the statistic?
e. If the 900 gasoline stations were randomly selected from the gasoline stations in Minnesota.
Is this a good sample? Explain.
The population is 900 gasoline stations. The sample is 800. The parameter is price of gasoline. The statistics is for 900 stations and not all stations.
What is average?The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.
The population is 900 gasoline stations.
The sample is 800.
The parameter is price of gasoline.
The statistics is for 900 stations and not all stations.
The sample selected is a good sample as it covers most of the gas stations.
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SOMEONE HELPPPPP MEEEEEE PLEASE
Answer:
a.) (1,4), (-2,3), (0,4)
b.) (4,1), (3,-2), (4,0)
Step-by-step explanation:
a. When we want to find the reflection over the Y axis, that means the X coordinate signs reflect. For A, it says (-1,4). To reflect it, we reflect the X coordinate, so now it's (1,4) instead. You'll do that to the other two.
b. When rotating, you would switch the numbers of the coordinates and switch the sign of X. For the first one (-1,4), we'll switch it to (1,4). Not we'll switch the numbers around to make it (4,1). You'll do that for the other two
12. aj is 10 and the difference is 6, find the numbers. b) A number is greater than another number by 3. If their sum is 33, find the numbers.
The value of the two numbers in b is 15 and 18
How to solve for the numbersTo get the values we would have to set up an equation system
Such that we would have:
the smaller number is given as c
Then the bigger number is given as c + 3
The equation would be
c + c + 3 = 33
then
2c = 33 - 3
2c = 30
From here we would have to divide both sides of the equation by 2
2c / 2 = 30 / 2
c = 15
33 - 15 = 18
Hence the numbers are given as 15 and 18
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Which of the following integrals represents the area of the region bounded by the curves, y = -3x^(1/2), y = x - 4, and y = 0, in terms of x?a. ∫(4, 0) (-3 √x) dx + ∫(5, 4) (x - 4) dxb. ∫(4, 0) -3 √x dx c. ∫(1, 0) 3√x dx + ∫(4, 1) (-x + 4) dxd. ∫(2, 0) 3√x dx + ∫(4, 2) (-x + 4) dxe. ∫(1, 0) (-3√x) dx + ∫(4, 1) (-x + 4) dx
what is the equation of a line with a y-intercept of -3 and a slope of -4/5
Answer:
Below
Step-by-step explanation:
y= mx + b is the slope intercept form of a line
m = slope and b = y-axis intercept
Plug in the given values
y = -4/5 x -3
Fill in the missing number.
80% of
= 240,000
Answer:
The missing number is 300,000.
Step-by-step explanation:
To find the missing number, we can set up an equation based on the information given. If 80% of a number is equal to 240,000, we can write:
0.80x = 240,000
To find x, we can divide both sides of the equation by 0.80:
x = 240,000 / 0.80 = 300,000
So, the missing number is 300,000.
40 EASY POINTS!
Answer all of them with examples of how you got the answer for 40 points :)
1. store A sells at cheaper rate.
2. Runner B tun at faster rate.
3. Submarine 2 will reach at depth of -1056 feet at faster rate.
4. Kira collected 18.33 points in one hour.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Store A: y= 0.40 x
so, the unit rate is 0.40.
Store B:
the cots of 3 pound carrot= 20.16
and, the cost of 48 ounce carrot = 20.16
and, cost per ounce= 20.16 /48= 0.42
so, the unit rate is 0.42.
Thus, store A sells at cheaper rate.
2. The unit rate rate of runner A
= 54/4.5
= 12
and, the unit rate of runner B
= 275/20
= 13.75
Thus, Runner B tun at faster rate.
3. Submarine 1 descends at rate of 22 feet.
and Submarine 2 descends at rate of = 480/20 = 24 feet.
Thus, Submarine 2 will reach at depth of -1056 feet at faster rate.
4. Jess collected 18 points in one hour.
and, Kira collected 18.33 points in one hour.
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GDrag expressions and value to represent the situation and the unknown in the diagram
Expressions using words: 2/5 as the sum of 4 and 8.
Expression with using numbers: 2/5 x(8+4)
Value = 12 2/5.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
First, the Expressions using words
2/5 of the product of 8 and 4.
4 times as mush as 2/5 of 8.
2/5 as the sum of 4 and 8.
Now, Expression with using numbers
2/5 + (8+4)
2/5 x (8 x 4)
4 x (2/5 x 8)
2/5 x(8+4)
Values are: 2 2/5, 4 2/5, 32 2/5, 12 2/5.
Now, the Answers is
Expressions using words: 2/5 as the sum of 4 and 8.
Expression with using numbers: 2/5 x(8+4)
Value = 12 2/5.
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I NEED THE ANSWER ASAP
You then need to write an equation of a line using slope-intercept format goes through the point (4,2) and is parallel to y = 1/2x - 3
An equation of a line using slope-intercept format goes through the point (4, 2) and is parallel to y = 1/2x - 3 is y = x/2.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided above, we have the following slope and data points on the line:
Points = (4, 2).Slope, m = 1/2.In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂ ⇒ 1/2 = 1/2
At data point (4, 2), a linear equation of this line can be calculated in point-slope form as follows:
y - 2 = 1/2(x - 4)
y - 2 = x/2 - 2
y = x/2 - 2 + 2
y = x/2
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How many adults binge drink four times per month?
A. 1 in 10
B. 1 in 6
C. 1 in 4
D. 1 in 8
Answer:
C.
Step-by-step explanation:
Its more likely to happen
In an orchestra, the ratio of trombones to violas is 1 to 3.
Answer:
3 trombones
Step-by-step explanation:
9 divided by three is 3.
A is the correct of the circle. The diagram is not drawn to scale.
If m
Answer:
Four thousand two hundred and
Step-by-step explanation:
PLEASE HELP MY HW IS LATE
The following information can be extracted from the system of triangles ABC and DEF:
Case A: 3 / 5 = y / z
Case D: m ∠ C = m ∠ F
Case E: Δ ABC ~ Δ DEF
How to interpret a system of two similar triangles
In this problem we find a representation of a system with two similar triangles, that is, two triangles with two congruent internal angles and proportional sides. Then, the following relationships are derived below:
m ∠ A = m ∠ D
m ∠ B = m ∠ E
m ∠ C = m ∠ F
AB / DE = BC / EF = AC / DF
6 / 10 = y / z = x / w
3 / 5 = y / z = x / w
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how much is 0.15% of 12000 ?
Answer:
0.15% of 12000 is equal to 18.
Step-by-step explanation:
To calculate 0.15% of 12000, we first convert 0.15% to a decimal. To do this, we divide 0.15 by 100:
0.15 ÷ 100 = 0.0015
Next, we multiply this decimal by 12000:
0.0015 × 12000 = 18
So, 0.15% of 12000 is equal to 18.
FIND MULTIPLICITY AND ZEROS OF THE GRAPH!
Answer: The Zeros Are(in order) -3,-2,-1,1, 1.5 ALL have a multiplicity of 1.
Step-by-step explanation: Since the 0's cross the graph and don't "bounce" on the x-axis, they're all for a multiplicity of 1.
How many hours do I need to work to make 35$
How many hours do I need to work to make $94
How many hours do I need to work to make $540
Explain:
Step-by-step explanation:
Is some of the problem missing? impossible to answer unless we know how much they make an hour
For the following exercises, find the measure of the angle between the three-dimensional vectors a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly 135. a = (3. -1,2), b = (1,-1,-2) 136. a = (0,-1, -3), b = (2,3,-1)
The angle between the 3D vectors a = (3, -1, 2) and b = (1, -1, -2) is 2.23 radians. The angle between a = (0, -1, -3) and b = (2, 3, -1) is 2.43 radians.
The angle between two vectors a and b in three-dimensional space can be found using the dot product formula:
cos(θ) = (a * b) / (||a|| * ||b||)
Where ||a|| and ||b|| represent the magnitude (length) of vectors a and b, respectively, and "*" represents the dot product of the two vectors. The dot product is given by:
a * b = a1 * b1 + a2 * b2 + a3 * b3
Where a1, a2, and a3 are the components of vector a, and b1, b2, and b3 are the components of vector b. The angle θ is then calculated using the inverse cosine function:
θ = arccos(cos(θ))
Finally, the angle θ is expressed in radians.
For the first problem, we have:
a = (3, -1, 2)
b = (1, -1, -2)
So, we have:
a * b = 3 * 1 + (-1) * (-1) + 2 * (-2) = 3 - 1 - 4 = -2
||a|| = [tex]\sqrt{(3^2 + (-1)^2 + 2^2)} = \sqrt{(14)}[/tex]
||b|| = [tex]\sqrt{(1^2 + (-1)^2 + (-2)^2) }= \sqrt{(6)}[/tex]
cos(θ) = [tex](-2) / (\sqrt{(14)} * \sqrt{(6)} ) = -\sqrt{(2)} / \sqrt{(21)[/tex]
θ = arccos[tex](-\sqrt{(2)} / \sqrt{(21)})[/tex] = 2.23 radians (rounded to two decimal places)
For the second problem, we have:
a = (0, -1, -3)
b = (2, 3, -1)
So, we have:
a * b = 0 * 2 + (-1) * 3 + (-3) * (-1) = -3
||a|| = [tex]\sqrt{(0^2 + (-1)^2 + (-3)^2)} = \sqrt{(10)}[/tex]
||b|| = [tex]\sqrt{(2^2 + 3^2 + (-1)^2)} = \sqrt{(14)}[/tex]
cos(θ) = [tex]-3 / (\sqrt{(10)} * \sqrt{(14)}) = -3 / \sqrt{(140)}[/tex]
θ = arccos[tex](-3 / \sqrt{(140)})[/tex] = 2.43 radians (rounded to two decimal places)
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the ratio in the simplest form 3:9
Answer:
1:3
Step-by-step explanation:
the greatest common factor is 3 so to simplify divide both sides by 3.
The cost of tuition at a state college is $8,500 and is increasing by 3% each year. what is the cost of the tuition after 6 years?
Answer: $51,000
Step-by-step explanation:
At first, I multiplied 8,500 times 3 then the outcome I got was 25,500 so now I'm going to try multiplying 8,500 times 6 which equals 51,000 but I'm sorry if I got the answer wrong