Akashi- Kailua bridge height is 13000 feet.
What is a fraction?A fraction is expressed as a quotient, in which the numerator is divided by the denominator.
Example:
1/2, 4/5.
We have,
Golden Gate Bridge height = 9000 feet
Akashi bridge's height= 1 and 4/9 times as long as Golden Gate Bridge
Here,
1 and 4/9 times can also be written as:
1 4/9 = 13/9 x 9000
or
1 x 9000 + 4/9 x 9000
The height of the Akashi bridge:
= 1 x 9000 + 4/9 x 9000
= 9000 + 4 x 1000
= 9000 + 4000
= 13000 feet
Thus the height of the Akashi bridge is 13000 feet.
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For each line, determine whether the slope is positive, negative, zero, or undefined.
Answer:
1. Undefined
2. Negative
3. Zero
4. Positive
Step-by-step explanation:
1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.
2. Negative, the line is decreasing at a constant rate, the slope is negative.
3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)
4. Positive, the line is increasing at a large rate, the slope is positive.
A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per poundBut at the end of the month the peanuts had not sold well, so, in order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per poundHow many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue? The manager should mix pounds of cashews with the peanuts
In a nut store the required quantity of the cashews in the mix = x / 4 = 3 / 4 pound.
Here,
Cost of 1 pound of cashew = $4.00
Cost of 1 pound of peanut = $1.50
Total cost = 5.50
The average cost of per pound = 5.50 / 2 = 2.75
Now, peanut and cashews mixes,
quantity of the cashews in the mix = x / 4.00
quantity of the peanuts in the mix = x / 1.50
x/4.00 + x/1.50 = 2.75
x = 3
Now,
The required quantity of the cashews in the mix = x / 4 = 3 / 4 pound
and the mix of the peanut in the mix x / 1.50 = 3 / 1.50 = 2 pounds
Thus, The required quantity of the cashews in the mix = x / 4 = 3 / 4 pound
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Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
The costs per load (in cents) of 34 dish-washing detergents tested by a consumer organization are shown here. Find the standard deviation of the sample. Class limits 20-28 29-37 38-46 47-55 7.7 Frequency 13 15 4 2
The standard deviation of the sample is approximately 9.15
To find the standard deviation of the sample, we first need to calculate the sample mean. The sample mean is the sum of all the data points divided by the total number of data points. In this case, we are given the frequency distribution of the costs per load of 34 dish-washing detergents.
To calculate the sample mean, we multiply each class midpoint by its corresponding frequency, sum up these products, and divide by the total number of data points (34 in this case).
The class midpoint for each class interval can be calculated by adding the lower class limit to the upper class limit and dividing by 2. For example, the class midpoint for the interval 20-28 is (20 + 28) / 2 = 24.
Using this information, we can calculate the sample mean:
(24 * 13 + 33 * 15 + 42 * 4 + 51 * 2) / 34 = 32.44
Next, we need to calculate the squared deviation of each data point from the sample mean. The squared deviation is obtained by subtracting the sample mean from each data point and squaring the result.
For each class interval, we can calculate the squared deviation by subtracting the class midpoint from the sample mean, squaring the result, and multiplying by the frequency.
The sum of these squared deviations is then divided by the total number of data points minus 1 (n-1) to obtain the variance.
Using the given data, the variance is calculated as follows:
((24 - 32.44)^2 * 13 + (33 - 32.44)^2 * 15 + (42 - 32.44)^2 * 4 + (51 - 32.44)^2 * 2) / (34 - 1) = 83.6
Finally, to find the standard deviation, we take the square root of the variance:
√(83.6) ≈ 9.15
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what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
A bag of tokens contains
8
8 red,
7
7 green, and
9
9 blue tokens. What is the probability that a randomly selected token is purple? Enter your answer as a fraction.
Answer:
As the bag doesnt conatain any purple token;
purple token = 0
number of total tokens in bag = 24
therefore, the probability of choosing a purple token = 0/24
Hope it helps
What is the slope of the line shown? The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? please help fast 20 pt will mark the branliest
Answer:
slope = 1/3, equation is y = 1/3x - 2
Step-by-step explanation:
slope formula = change in y / change in x
= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3
Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.
Answer:
y=1/3x -2
Step-by-step explanation:
points (0, -2) and (6, 0)
Slope- intercept form:
y=mx+b
m=(y2-y1)/(x2-x1)= (0+2)/(6-0)= 2/6= 1/3y=1/3x+b
0= 1/3*6+b b= -2y=1/3x -2
Consider the following scores. (i) a score of 40 from a distribution with mean 50 and standard deviation 10 (ii) a score of 45 from a distribution with mean 50 and standard deviation 5 How do the two scores compare relative to their respective distributions
Answer:
The scores are equal
Step-by-step explanation:
The z-score for any normal distribution is:
\(z=\frac{X-\mu}{\sigma}\)
(i) Score (X) = 40
Mean (μ)= 50
Standard deviation (σ) = 10
\(z=\frac{40-50}{10}\\ z=-1\)
(ii) Score (X) = 45
Mean (μ)= 50
Standard deviation (σ) = 5
\(z=\frac{45-50}{5}\\ z=-1\)
Both scores have the same z-score, which means that, relative to their respective distributions, the scores are equal.
Sunny earns $12 per hour delivering cakes. She worked for x hours for this week. Unfortunately,she was changed $15 for a late delivery on Tuesday. How much did sunny ear this week? Write tryout answer as an expression
Step-by-step explanation:
Total Wages = Number of hours worked x Hourly Wage
\( = 12x\)
Any other charges:
1)Late Delivery Charge : $15
Total Actual Wages = Total Wage - Late Delivery Charge =
\(12x - 15\)
Compare the properties of each function. Please help I will give brainliest.
9514 1404 393
Answer:
both are linear functions with a y-intercept of 3 and domain of all real numbersf(x) has positive slope, so a range of all real numbersg(x) has zero slope, so a range of only the value 3Step-by-step explanation:
Both functions are shown in the attached graph. Both are linear functions with a y-intercept of 3. Both have a domain of all real numbers.
Function A has a positive slope, so has a range of all real numbers.
Function B has a zero slope, so its range is the single number y = 3.
What is the distance between the points (7,5) (4,9)
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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please explain steps to solve
Step-by-step explanation:
use formula to find hypotenuse
\( \sqrt{ {(a)}^{2} } + {(b)}^{2} = c\)
it will be
square root (11)² + (5)² = c
square root 121 + 25 = c
square root 146 = c
12.08 = c
LM = 12.08
Answer:
11
Step-by-step explanation:
To find LM we need PM. We can use the Pythagorean Theorem:
a^2+b^2=c^2PN^2+PM^2=MN^25^2+PM^2=11^225+PM^2=121PM^2=96PM=√96Now using the Pythagorean Theorem, we can find LM:
a^2+b^2=c^2LP^2+PM^2=LM^25^2+(√96)^2=LM^225+96=LM^2121=LM^211=LMOr you could have seen that triangle LPM is congruent to triangle NPM by SAS (5, 90º, and PM) so LM=NM=11.
Aubree owns a small business selling clothing. She knows that in the last week 69 customers paid cash, 2 customers used a debit card, and 7 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than cash as a percent to the nearest whole number.
The probability that the next customer will pay with something other than cash, rounded to the nearest Whole number, is approximately 12%.
The probability that the next customer will pay with something other than cash, we need to consider the total number of customers who paid with something other than cash and divide it by the total number of customers in the last week.
In the given information, it is stated that 69 customers paid with cash, 2 customers used a debit card, and 7 customers used a credit card. To find the total number of customers who paid with something other than cash, we add the number of customers who used a debit card and the number of customers who used a credit card:
Total number of customers who paid with something other than cash = Number of customers who used a debit card + Number of customers who used a credit card
= 2 + 7
= 9
Now, to calculate the probability, we divide the number of customers who paid with something other than cash by the total number of customers:
Probability = Number of customers who paid with something other than cash / Total number of customers
= 9 / (69 + 2 + 7)
= 9 / 78
= 0.1154 (rounded to four decimal places)
To express the probability as a percentage, we multiply the probability by 100:
Probability as a percent = 0.1154 * 100
≈ 11.54
Therefore, the probability that the next customer will pay with something other than cash, rounded to the nearest whole number, is approximately 12%.
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2, 5, 8, 11, 14,... ... ... ....
a30
What’s the missing term
Answer:
17, 20, 23, 26, 29, 32,
Step-by-step explanation:
Answer:
17, 20, 23, 26, 29, 32, 35....
Step-by-step explanation:
cause that's how math was made
"don't have a good day, have a great day"
-Guy
Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)? A. x2 + y2 − 4x + 2y + 1 = 0 B. x2 + y2 + 4x − 2y + 1 = 0 C. x2 + y2 + 4x − 2y + 9 = 0 D. x2 − y2 + 2x + y + 1 = 0 Reset Next
Answer B)
Step-by-step explanation:
( x + 2 )² + ( y - 1 )² = r²
( - 4 + 2 )² + ( 1 - 1 )² = r²
4 = r², than we will plug in to a formula:
( x + 2 )² + ( y - 1 )² = 4
x² + 4 x + 4 + y² - 2 y +1 = 4
x² + y² + 4 x - 2 y + 1 = 0
Simplify the rate:
46 cans of Soda / 8 people
Only enter the numeric amount:
Answer: 23 cans of soda/4 people.
or (23/4) cans of soda per person.
Step-by-step explanation:
So we have the rate:
46 cans of soda/ 8 people
First, 46 and 8 are multiples of 2, so we can divide both numerator and denominator by 2:
46/2 = 23
8/2 = 4
Then the rate can be:
23 cans of soda/4 people.
Now 23 is a prime number, so we can not simplify it furthermore
please help meeee
I need helpppp
Answer:
the slope is 5 i do y feel like doing the work buuut ik im right mark me as brainlyest if im right
Question 6 of 10
What is the solution to the system of equations graphed below?
y = -2x + 4
y=x-5
Answer:
the solution to the system of equations is (x, y) = (3, -2).
Step-by-step explanation:
y = -2x + 4 (Equation 1)
y = x - 5 (Equation 2)
To solve for x, we can equate the right sides of the equations:
-2x + 4 = x - 5
Now, we can solve for x:
-2x - x = -5 - 4
-3x = -9
x = (-9) / (-3)
x = 3
Substituting the value of x back into Equation 2, we can solve for y:
y = 3 - 5
y = -2
what is the lcm of 16 20 and 40
Answer:
80
Step-by-step explanation:
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Multiples of 40:
40, 80, 120, 160
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 11 m/s. The ball's height h (in meters) after t seconds is given by the following.
h=1+11t-5^2
Find all values of t for which the ball's height is 6 meters.
Round your answer(s) to the nearest hundredth.
Answer:
\(t=0.64\) and \(t=1.56\) seconds
Step-by-step explanation:
\(h=1+11t-5t^2\\\\6=1+11t-5t^2\\\\0=-5+11t-5t^2\\\\0=-5t^2+11t-5\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-11\pm\sqrt{11^2-4(-5)(-5)}}{2(-5)}\\\\t=\frac{-11\pm\sqrt{121-100}}{-10}\\ \\t=\frac{-11\pm\sqrt{21}}{-10}\\\\t=\frac{11}{10}\pm\frac{\sqrt{21}}{10}\\ \\t_1\approx0.64\\\\t_2\approx1.56\)
Therefore, the values of t for which the ball's height is 6 meters is \(t=0.64\) and \(t=1.56\) seconds.
First to answer gets brainlyes
Which expressions are equivalent?
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
A 192 ft3
B 9216 ft 3
C 4608 ft 3
D 3072 ft 3
Answer:
Answer it is D Got it
Step-by-step explanation:
10% of ivy tech students are dual credit students. If there are 13,129 dual credit students, how many Ivy Tech students are there?
Answer:131290
Step-by-step explanation:13129*100/10=131290
2) If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship.
direct
inverse
undefined
Answer:
inverse
Step-by-step explanation:
If one variable increases in value and the other variable decreases in value, the variables have a(n) inverse relationship. Option B is correct.
Given that,
A statement " If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship." is given blank space to fill in the state from the option given.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here, when two variable are proportional to each other,
Case 1
The value of one variable increases as the value of another variable variable are directly proportional to each other
Case 2
The value of one variable decreases as the value of another variable increase implies variables are inversely proportional to each other.
Thus, If one variable increases in value and the other variable decreases in value, the variables have a(n) inverse relationship. Option B is correct.
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Let p=x^2+6. Which equation is equivalent to (x^2 + 6)^2 - 21 = 4x^2 + 24 in terms of p?
Answer:
p^2-4p-21=0
Step-by-step explanation:
Where you see (x^2 + 6) you put in p.
p 2 - 21 = 4 ( x 2 + 6 )
p 2 - 21 = 4p
p 2 - 4p - 21 = 0
:)
I have the question shown in the screenshot
The width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.
How to find the dimensions of the rectangle of maximum area by optimization
In this problem we must use critical values and algebraic methods to determine to determine the dimensions of the rectangle such that the area is a maximum. The equation of the quadrilateral is formed by definition of the area of a rectangle:
A = w · h (1)
Where:
w - Width of the rectangle.h - Height of the rectangle.And the area of the entire triangle is:
0.5 · (5) · (12) = w · h + 0.5 · w · (12 - h) + 0.5 · (5 - w) · h
30 = w · h + 6 · w - 0.5 · w · h + 2.5 · h - 0.5 · w · h
30 = 6 · w + 2.5 · h
2.5 · h = 30 - 6 · w
h = 12 - 2.4 · w (2)
The quadrilateral of maximum area is always a square, then we must solve for w = h:
w = 12 - 2.4 · w
3.4 · w = 12
w = 3.529
Then, the width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.
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What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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PLEASE HELP Enter your answer and show all the steps that you use to solve this problem in the space provided. Bernadette bought two pieces of ribbon. One piece is 6 1/4 feet long, and the other is 11 1/2 feet long. Find the total length of the ribbon.
Answer:
17 3/4 feet long
or
17.75 feet long
Step-by-step explanation:
11 1/2 -> 11 2/4 (just multiplying numerator/denominator by 2
11 2/4 + 6 1/4 = 17 3/4
Answer:
17 3/4
Step-by-step explanation:
Convert 6 1/4 to an improper fraction (25/4)
Convert 11 1/2 to an improper fraction (23/2)
Multiply 23/2 by 2/2 to get a common denominator
which makes 25/4 +23x2/4
And 25+46=71
So 71/4
Then to change it back into a mixed number you divide 71 by 4 and get
17 3/4
Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
system of linear equations
3x − y = −11
−x + y = 5
The system of equations has a solution such that x = -3 and y = 2.
To solve the system of linear equations:
3x - y = -11
-x + y = 5
We can use the method of elimination:
Add the two equations together to eliminate y:
3x - y + (-x + y) = -11 + 5
Simplifying:
2x = -6
Divide both sides by 2:
x = -3
Substitute x = -3 into one of the equations to solve for y:
-x + y = 5
-(-3) + y = 5
3 + y = 5
Subtract 3 from both sides:
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2.
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