Answer:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) =-11
( 3) – (-9) + (-3) – (-2) =11
- ( 5) – (-7) + (-8) =-6
- ( -8) – (-9) + (-4) – (-1) =14
( -5) – (-11) + (10) – (8) =8
( -1) – (-2) + (-3) – (-6) =4
( -4) – ( 4) – (6) + (-5) – (-8) =-11
(-6) + (-5) – (-8) =-3
Step-by-step explanation:
Hope it helps
Answers:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) = -11
( 3) – (-9) + (-3) – (-2) = 11
- ( 5) – (-7) + (-8) = -6
- ( -8) – (-9) + (-4) – (-1) = 14
( -5) – (-11) + (10) – (8) = 8
( -1) – (-2) + (-3) – (-6) = 4
( -4) – ( 4) – (6) + (-5) – (-8) = -11
(-6) + (-5) – (-8) = -3
Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
12
9
O
5
12
оа
Oь
Oc
Od
15
9
Answer:
10.82
Step-by-step explanation:
6^2+9^2=x
36+81=117
Square root of 117 is 10.82
The value of the given side x in the given circle is 10.82.
We have given that,
If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
What is the Pythagoras theorem?
\(side^2+side^2=hypotenous^2\)
6^2+9^2=x^2
36+81=117
117=x^2
taking square root on both sides.
The Square root of 117 is 10.82.
Therefore the square root of the 117 is 10.82.
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Fill in the blank A ____ is a graph of points (x,y) where each x-value is from the original set of sample data, and each y-value is the corresponding Z-score that is a quantile value expected from the standard normal distribution
answer options are
histogram
frequency polygon
scatterplot
normal quantile plot
Normal quantile plot is a graph of points (x,y) where each x-value is from the original set of sample data, and each y-value is the corresponding Z-score that is a quantile value expected from the standard normal distribution.
What is a Normal Quantile Plot?
A normal quantile plot is a graphical tool used to determine whether a data set is normally distributed or not.
It plots sample data versus a theoretical normal distribution.
In general, the points on the plot should form a straight line if the data is normally distributed. If the data is not normally distributed, the points on the plot will not form a straight line.
A normal quantile plot can be used to evaluate the following:
Whether or not a data set is normally distributedA data set's skewnessA data set's outliersA data set's center and spread whether or not a transformation is required to make a data set normally distributed.The normal quantile plot of the residuals is the most important diagnostic tool for examining whether the assumptions of a linear regression model have been met.
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An official stands 2 meters from the edge of a discus circle and 3 meters from a point of tangency how far is the official from the center of the discus circle?
The official is approximately \(\sqrt{(13)\) meters from the center of the discus circle.
The official is standing 2 meters from the edge of the discus circle and 3 meters from a point of tangency. To find how far the official is from the center of the discus circle, we can use the properties of a tangent line.
First, let's draw a diagram. We have a discus circle with a center, a point of tangency, and the official standing outside the circle.
The official is standing 2 meters from the edge of the circle, so we can draw a line from the official to the point of tangency. This line is a tangent line, and it is perpendicular to the radius of the circle that passes through the point of tangency.
We also know that the official is 3 meters from the point of tangency.
To find the distance from the official to the center of the discus circle, we can form a right triangle. One leg of the triangle is the radius of the circle, and the other leg is the distance from the official to the point of tangency.
Using the Pythagorean theorem, we can find the length of the hypotenuse of the right triangle, which is the distance from the official to the center of the circle.
Let's call the distance from the official to the center of the circle x.
Using the Pythagorean theorem: \(x^2 = 2^2 + 3^2\)
Simplifying the equation: \(x^2 = 4 + 9\)
Combining like terms: \(x^2 = 13\)
Taking the square root of both sides: \(x = \sqrt{(13)\)
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How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain
Answer:
4
Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero
How to solve the area of a triangle
Step-by-step explanation:
The photo which is in the attachment is an example for your question. hope this answer helps you!!Use an infinite series to approximate the number to three decimal places.1/3 e
Consider the given function.
f(x)=e-x=...
Using an infinite series approximation, we estimate the number 1/3 e to be approximately 0.239.
To approximate the number 1/3 e, we can use the Maclaurin series expansion of the function f(x) = \(e^x\), which is:
\(e^x = 1 + x + x^2/2! + x^3/3! + ...\)
Substituting x = -1/3, we have:
\(e^{(-1/3)} = 1 - 1/3 + 1/2(1/3)^2 - 1/3!(1/3)^3 + ...\)
Truncating the series after the third term, we get:
\(e^{(-1/3)\) ≈ 1 - 1/3 + 1/2(1/3)^2 = 0.716
Multiplying by 1/3, we have the approximate value:
1/3 e ≈ 0.239
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How may cups are in 3 gallons
Hannah and Katie both worked during the summer break Hannah made $78.50 per week and she worked for 9 weeks. Katie made $95.25 per week and she worked for 8 weeks. At the
her total earned on new school clothes, and Katie spent of her total earned on new school clothes. How much more did Hannah spend than
Based on the percentage each spent on new school clothes, Hannah spent $42.90 (difference in spending) more than Katie.
How is the difference determined?The difference is the result of the subtraction of the total spending by Hannah and Katie on their new school clothes.
However, before this difference is determined, we first apply the percentage spent on their total earnings during the period.
Hannah Katie
Rate per week $78.50 $95.25
Number of weeks worked 9 8
Total earned during the period $706.50 $762 ($95.25 x 8)
Percentage spent on new school clothes 60% 50%
Amount spent on new school clothes $423.90 $381 ($762 x 50%)
The difference in spending by Hannah and Katie = $42.90 ($423.90 - $381)
Thus, we can conclude that Hannah spent $42.90 more than Katie, even though Katie earned more than Hannah.
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I need solution of this two questions
Find the minimum number of comparisons needed to sort small array of 6 elements? \( Q(2) \) Using Median and statistics concept (Chapter 8), find the lower bound of 6 comparisons (median)?
The minimum number of comparisons needed to sort small array of 6 elements is 8 and the lower bound of 6 comparisons (median) is 5.
To find the minimum number of comparisons, follow these steps:
To obtain the minimum number of comparisons, the Quicksort algorithm can be used. In this algorithm, the pivot element is selected and the elements are arranged such that all the elements less than the pivot are placed on its left side and all the elements greater than the pivot are placed on the right side. Then, the pivot element is compared with all the elements on both the sides, which makes a total of m+n-1 comparisons, where m and n represent the number of elements on the left and right sides, respectively.Thus the minimum number of comparisons needed to sort a small array of 6 elements is given by P(6) = 5 + P(3) + P(2), where P(n) denotes the minimum number of comparisons needed to sort an array of n elements. Therefore, P(6) = 5 + P(3) + P(2), P(3) = 2P(2) + 1P(2) = 1+ P(1). P(1) = 0 (since one element is already sorted). Therefore, P(2) = 1+ P(1) = 1 and P(3) = 2P(6) = 5 + P(3) + P(2) = 5 + 2 + 1 = 8. Hence, the minimum number of comparisons needed to sort a small array of 6 elements is 8.To find the lower bound of 6 comparisons (median), follow these steps:
In order to find the lower bound, we need to select a pivot element such that the elements less than it are on one side and elements greater than it are on the other side. Also, the number of elements on both the sides should be equal to each other. The number of comparisons needed to obtain the median value is given by Q(2) = 1. Hence, the lower bound of 6 comparisons (median) is given by 6 - Q(2) = 6 - 1 = 5.Learn more about the Quicksort:
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1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
A cylinder has a circumference of 16pi inches and a height of 20 inches. what is the surface area of a cylinder in square inches?
Answer:
1407.43
Step-by-step explanation:
The eqaution for surface area of a cylinder is 2πr+2π\(r^{2}\)'
but you already got the circumference so you work backwards
16pi/pi=16
16/2=8
r=8
h=20
So you plug it into the eqaution
2π8*20+2π8^2=1407.43
Suppose the characteristic equation for an ODE is(r−1)2(r−2)2=0. a) Find such a differential equation. b) Find its general solution. please show all work and clearly label answer
a) A possible differential equation with this characteristic equation is:
y'''' - 6y''' + 13y'' - 12y' + 4y = 0
b) The general solution of the differential equation is:
\(y = (c1 + c2x)e^x + (c3 + c4x)e^2x\)
How to find such a differential equation?a) To find such a differential equation, we can use the fact that the roots of the characteristic equation correspond to the solutions of the homogeneous linear differential equation.
The characteristic equation is given by:
\((r - 1)^2 (r - 2)^2 = 0\)
Expanding the terms, we get:
\(r^4 - 6r^3 + 13r^2 - 12r + 4 = 0\)
Therefore, a possible differential equation with this characteristic equation is:
y'''' - 6y''' + 13y'' - 12y' + 4y = 0
How to find its general solution?b) To find the general solution of this differential equation, we can use the method of undetermined coefficients or the method of variation of parameters.
However, since the roots of the characteristic equation have a multiplicity of 2, we know that the general solution will involve terms of the form:
\(y = (c1 + c2x)e^x + (c3 + c4x)e^2x\)
where c1, c2, c3, and c4 are constants to be determined based on initial or boundary conditions.
Therefore, the general solution of the differential equation is:
\(y = (c1 + c2x)e^x + (c3 + c4x)e^2x\)
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8 is 25% of what number?
Answer:
32
Step-by-step explanation:
25% is the same as 1/4
8 times 4 is 32 so 8 is 25% of 32
Answer:
25% would be 8
50% would be 16
75% would be 24
100% would be 32
khan academy - 6th grade advanced
Answer:
its b
Step-by-step explanation:
On a map, 1 inch equals 20 miles. Two cities are 7 inches apart on the map. What is the actual distance between the cities?
Answer:
140 miles
Step-by-step explanation:
1 times 20 (1 inch=20 miles)
2 times 20 (2 inches=40 miles)
3 times 20 (3 inches=60 miles)
4 times 20 (4 inches=80 miles)
5 times 20 (5 inches=100 miles)
6 times 20 (6 inches=120 miles)
7 times 20 (7 inches=140 miles)
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
The function (x) = x is shown on the graph,
Which statement is correct?
The domain of the function is all real numbers
greater than or equal to 0.
The range of the function is all real numbers greater
than or equal to -1
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
Answer:
the domain of the function is all real numbers less than or equal to 0
Central Mass Ambulance Service can purchase a new ambulance for $200,000 that will provide an annual net cash flow of $50,000 per year for five years. The salvage value of the ambulance will be $25,000. Assume the ambulance is sold at the end of year 5. Calculate the NPV of the ambulance if the required rate of return is 9%. Round your answer to the nearest $1.) A) $(10,731) B) $10,731 C) $(5,517) D) $5,517 Focus mglish (United States)
the NPV of the ambulance, rounded to the nearest dollar, is approximately $10,731. Option b
To calculate the NPV (Net Present Value) of the ambulance, we need to determine the present value of the net cash flows over the five-year period.
The formula for calculating NPV is:
NPV = (Cash Flow / (1 + r)^t) - Initial Investment
Where:
Cash Flow is the net cash flow in each period
r is the required rate of return
t is the time period
Initial Investment is the initial cost of the investment
In this case, the net cash flow per year is $50,000, the required rate of return is 9%, and the initial cost of the ambulance is $200,000.
Using the formula, we calculate the present value of each year's cash flow and subtract the initial investment:
NPV =\((50,000 / (1 + 0.09)^1) + (50,000 / (1 + 0.09)^2) + (50,000 / (1 + 0.09)^3) + (50,000 / (1 + 0.09)^4) + (75,000 / (1 + 0.09)^5) - 200,000\)
Simplifying the equation, we find:
NPV ≈ 10,731
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A polar curve is defined by r=θk 2θ2 1, where k is a positive constant. For what value of k, if any, is the instantaneous rate of change of r with respect to θ at θ=π equal to 15 ?
Given the polar curve described above, the value of k which is the instantaneous rate of change of r with respect to θ at θ = π equal to 15 is: 1.451 (Option B).
What is a Polar Curve?
A polar curve is a shape that is designed using the polar coordinate system.
They are defined by points that stand at a variable distance from the pole, subject to the angle measured off the positive section of the x-axis.
Hence, given the polar curve described above, the value of k which is the instantaneous rate of change of r with respect to θ at θ = π equal to 15 is: (Option B) - 1.451
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if his average speed is 20 km per hour on his way up and 30 km per hour on his way down, how many hours does the trip take?
It depends on the total distance of the trip. If the total distance is 40 km, then the trip will take 2 hours (20 km/hour + 20 km/hour). If the total distance is 60 km, then the trip will take 3 hours (30 km/hour + 30 km/hour).
Total distance = 40 km
Time for the way up = 40 km / 20 km per hour = 2 hours
Time for the way down = 40 km / 30 km per hour = 1.33 hours
Total time = 2 hours + 1.33 hours = 3.33 hours
The total time for the trip depends on the total distance. If the total distance is 40 km, then the time taken for the trip will be 3.33 hours. This is calculated by dividing the total distance by the average speed of the way up (20 km per hour) and the way down (30 km per hour). In this case, the time taken for the way up is 2 hours and the time taken for the way down is 1.33 hours, making the total time 3.33 hours.
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The ratio of salamanders to frogs is 6 to 7. If there are 9 salamanders, how many frogs are there?
Answer
10
Step-by-step explanation:
salamander:frog
6:7
start by setting up the ratios as fractions and using x as the variable.
\(\frac{6}{7}\)=\(\frac{9}{x}\)
next cross multiply.
6x=63
x=10 i believe
HELP!!!!!!!!!!!!!!!!!!!
The probability that a person dines out 4 or more times in a week, given the frequency table, is C. 0.148
How to find the probability ?To find the probability that a person would eat out about four times or more in a week, find the number of people who eat out 4 or more times per week.
The number of people would be:
= 78 + 24 + 23 + 8
= 133 people
The probability that a person would eat out 4 or more times is therefore:
= Number of people who eat out 4 or more times / Number of people in survey
= 133 / 897
= 0.148
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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (Use either elimination or substitutions) SHOW ALL STEPS PRETTY PLEASE !!
Answer:
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
Step-by-step explanation:
Let the
Number of ml of 40% sugar = x
Number of ml of 85% sugar used = y
From the above question, our system of equations is given as:
x + y = 1800mL ....... Equation 1
x = 1800 - y
40% × x + 85% × y = 60% × 1800mL
0.4x + 0.85y = 1080.... Equation 2
We substitute 1800 - y for x in Equation 2
0.4(1800 - y) + 0.85y = 1080
720 - 0.4y + 0.85y = 1080
- 0.4y + 0.85y = 1080 - 720
0.45y = 360
y = 360/0.45
y = 800mL
Solving for x
x = 1800 - y
x = 1800 - 800
x = 1000mL
Therefore,
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
Find the slope of the line.
A: 3/2
B: -2/3
C: 2/3
D: -3/2
Answer:
Slope= \(rise/run\)
slope= - 1/5
Step-by-step explanation:
(3,2) (-2,3)
formula = \(y2-y1/ x2- x1\)
\(3-2 / -2 -3\)
\(1/-5\)
slope= - 1/5
Rosie is x years old
Eva is 2 years older
Jack is twice Rosie’s age
A) write an expression for the mean of their ages.
B) the total of their ages is 42
How old is Rosie?
Answer:
Rosie is 10 years old
Step-by-step explanation:
A)
Rosie is x years old
Rosie's age (R) = x
R = x
Eva is 2 years older
Eva's age (E) = x + 2
E = x + 2
Jack is twice Rosie’s age
Jack's age (J) = 2x
J = 2x
B)
R + E + J = 42
x + (x + 2) + (2x) = 42
x + x + 2 + 2x = 42
4x + 2 = 42
4x = 42 - 2
4x = 40
\(x = \frac{40}{4} \\\\x = 10\)
Rosie is 10 years old
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
Answer:
$18.99
Step-by-step explanation:
The total cost is the base cost plus that of the added toppings.
total cost = base cost + (number of toppings) × (topping cost)
total cost = $13.99 + 4 × $1.25 = $18.99
Their pizza costs $18.99.
Which table shows equivalent ratios between the values of x and y?
Answer:
Option C
Step-by-step explanation:
The y values are 2.5 times the x value. Only graph 3 shows the correct numbers.
Hope it helps!
Solve the system of equations 5x - 6y = 33 and 2x +y = -14 by combining the
equations.
Answer:
look at the picture i have sent
Help me plzz!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°
2/5 to the third power
Answer:
\(\frac{8}{125}\)
Step-by-step explanation:
\(\frac{2}{5} *\frac{2}{5} *\frac{2}{5} =\frac{8}{125}\)
which situation represents a proportional situation? a. during shaina's run, she runs 2.5 miles at 6.5 miles per hour. b. after a bath, a bathtub has 72 gallons of water in it, and it drains 8.5 gallons per minute. c. for a charity run, one sponsor will donate $2.50 per mile melissa runs, and another will donate $3.50 per mile melissa runs. d. at a bowling alley, bowling costs $8.75 per hour, and a game of mini golf costs $7.50.
Here all the cases have a constant proprtion betwee the variables, hence all the cases show a proportional relationship.
a.
Here we see that the speed of Shaina is constant at 6.5 miles per hour. Hence even though she covers 2.5 miles, this shows a proportional relationship.
b.
Here again, we see that the bathtub drains at a speed of 8.5 gallons f water per minute. Hence here also since the draining speed is constant, the situation represents a proportional relationship.
c.
Here we see a relationship between three variables. But, since both donors will donate a constant amount of money to Melissa, this too has a proportional relationship as ultimately the proprtions will be the same.
d.
Here we have the per hour rate chart of both bowling and mini golf. Irrespective of the number of hours played, the rate is constnt, hence, it's a proportional relationship.
Hence all the cases show a proportional relationship.
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