Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:
\(d\sf=\sqrt{(x_2-x_1)+(y_2-y_1)}\)
Given points:
(-7, 5) and (2, -7)
where:
x₁ = -7x₂ = 2y₁ = 5y₂ = -7Substitute these points into the formula and simplify:
\(\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15\)
The distance between the two points is 15 units.
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Help 25 points for all
Answer:
thank you
Step-by-step explanation:
gracias
Please I need help this is due tomorrow and I'm falling behind :(:
Answer:
there are 8 one dollar bills and 3 five dollar bills
Step-by-step explanation:
Each student in a class recorded how many books they read during the summer. Here is a box plot that summarizes their data. What is the median number of books read by the students?
The median of the data is 6.
Looking at the box plot you provided, we can see that it's divided into four sections, or quartiles. The median, or the middle value of the data, is represented by the line that divides the box in half.
To find the median number of books read by the students, we need to look at the box plot and identify the median line. Then we can follow that line until it intersects with the y-axis, which represents the number of books read. The value at that point is the median number of books read by the students.
By looking through the box plot we have identified that te median is 6.
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the sum of two-thirds of a number and twenty
(translating expressions)
Answer:
Step-by-step explanation:
(2/3)20
Plz help ill mark brainlest
Answer:i believe its 3 correct me if im wrong
Step-by-step explanation:
Answer:
either 6/10 or 7/10
Step-by-step explanation:
2. Supposed the prevalence of Sudden infant death syndrome (SIDS) is 0.01%. At a local Maternity hospital 3 of the 100 newborn infants died of SIDS following birth. a. What is the probability of 3 dying of SIDS in this situation? b. In this situation would you find it alarming that this many died or would this be expected. Why or why not? (write 1-3 sentences explaining
The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.
a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.
b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.
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1) -2 x 10 x 4
2) x - 6 = -3
Answer:
1)-80
2)x=3
3)2^7
Step-by-step explanation:
1)-20*4=-80
2)x=-3+6
x=3
3)2*2^3+2^3= 2^7
Why did the freshman eat his homework? Because his teacher said it was a piece of cake.
Answer:
lol
Step-by-step explanation:
aaaaaaaaa stop brainly
Answer:
the guy that invented umbrellas didnt know what to call it so he said "ummm... brella"
Step-by-step explanation:
What is the sum of the measures of the exterior angles of the polygon shown below? If necessary, round to the nearest tenth.
The sum of the exterior angle of the pentagon is 360 degrees.
How to find the angles in a polygon?The polygon above is a pentagon. A pentagon is a polygon with 5 sides.
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.
Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.
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Write the relation as a set of ordered pairs. A relation. An arrow goes from 0 to 2, 2 to 6, and 4 to 10. a. ordered pairs: {(0, 2), (2, 6), (4, 10)} b. ordered pairs: {(2, 0), (6, 2), (10, 4)} c. ordered pairs: {(0, 2), (6, 2), (10, 4)} d. ordered pairs: {(2, 0), (2, 6), (4, 10)} Please select the best answer from the choices provided A B C D
The ordered pairs are {(0, 2), (2, 6), (4, 10)}, option A is correct.
What are the Ordered pairs in the set?A set of ordered pairs (x, y) that have x in set A and y in set B make up a function f from set A to set B.
An ordered pair in f is (x, y).
where there is precisely one y ∈ B, for every x ∈ A.
Given that an arrow goes from 0 to 2, 2 to 6, and 4 to 10,
to write the ordered pairs,
the relation of the arrow is 0 to 2, 2 to 6, and 4 to 10
the pairs are (0, 2)
(2, 6)
(4, 10)
pairs are {(0, 2), (2, 6), (4, 10)}
Hence option A is correct.
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You are required to: a.Rewrite the formulation above in the standard form by adding the required variables to replace the inequalities. b.Find a solution for the above formulation utilizing the linear programming simplex method.
Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.
a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:
Maximize P = 3x + 2y + 4z
Subject to:2x + y + z + s1 = 8
x + 2y + 3z + s2 = 10
x, y, z ≥ 0
b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.
To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.
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Oliver invested $53,000 in an account paying an interest rate of 2. 7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Using compound interest, the amount of money in Oliver's account after 20 years = $90,946.55
In this qustion we have been given Oliver invested $53,000 in an account paying an interest rate of 2. 7% compounded daily.
We need to find the amount of money, that would be in the account after 20 years.
We know tha the formula for compound interest.
A = P(1 + r/n)^(nt)
where, A = Accrued amount
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = number of years
In this question we have, P = $53,000, R = 2.7%, t = 20 years
First, convert R as a percent to r as a decimal
r = 2.7/100
r = 0.027 rate per year,
Using the formula of compound interest,
A = 53,000.00(1 + 0.027/365)^(365 * 20)
A = $90,946.55
Therefore, $90,946.55 would be in the account after 20 years
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how does DIAMETER of wire affect:
Strength
range
stiffness
The diameter of a wire significantly impacts its strength, range, and stiffness.
1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.
2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.
3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.
In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.
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The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of two per sheet. What percent of these sheets have no air bubbles
The percentage of the sheets with no air bubbles is given as follows:
13.53%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are listed and explained as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.The mean for this problem is given as follows:
\(\mu = 2\)
The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:
P(X = 0) = e^-2 = 0.1353 = 13.53%.
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Write an equation for the graph below.
Answer:
y= 25x
Step-by-step explanation:
Answer:
The line can be defined as y = 25x.
Step-by-step explanation:
First we find two points that this falls on. (0, 0) and (200, 8) clearly visible points that it falls on. If we take common factors out of that, we get (1, 25).
With those points, we have the slope of the function. Slope is equal to Δy/Δx, so in this case its 25/1 or just 25
Normally, to define a line, we would take a point on it and use it as reference, defining the line as (y - y1) = s(x - x1). In this case though, because the line intersects point (0, 0), we don't even need to translate it. We can simply say:
y = sx
We already have our slope of 25, so the our line function is:
y = 25x
Find the sum. Write your answer in simplest form as a fraction or mixed number.
-2/-5 + (-7/-5)
Answer:
-1 4/5 = -1.8
Step-by-step explanation:
help ASP plaz i need help
Answer:
isoceles right triangle
Step-by-step explanation:
the two lines shows their equal length and its at a 90 degrees angle so its a isoceles right triangle
Help me please anybody
Please help someone :)
Answer:
the answer should be B as the correct domain and range
Circle U is shown with points X and Z on the circle and secant segments XY and ZY intersecting at point Y outside the circle.
XY= 3x+6
ZY= 10X
Based on the given information and the secant-Secant Theorem, we have derived the equation (XY * XZ) = (10X * 10X).
Given that Circle U has points X and Z on the circle, and secant segments XY and ZY intersect at point Y outside the circle, we will use the following terms in our answer: Circle, Secant Segments, Intersection, and Ratio.
Step 1: Identify the segments involved.
We have two secant segments intersecting at point Y: XY and ZY.
Step 2: Apply the secant-secant theorem.
According to the secant-secant theorem, the product of the lengths of the segments from the intersection point to the points on the circle should be equal. In other words, (XY * XZ) = (ZY * ZY).
Step 3: Apply the given ratio.
We are given that ZY = 10X. Let's substitute this into the equation from Step 2: (XY * XZ) = (10X * 10X).
Step 4: Solve for XY and XZ.
Now, we need to solve for XY and XZ using the equation from Step 3. However, since we only have one equation and two variables, we cannot solve it completely. We need more information to find the specific values of XY and XZ.
Based on the given information and the secant-secant theorem, we have derived the equation (XY * XZ) = (10X * 10X). To find the specific values of XY and XZ, additional information is required.
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in lixue’s garden, the green pepper plants grew 5 inches in 3 4 month. at this rate, how many feet can they grow in one month? (let 5 inches
It would grow by approximately 1.6668 inches to 1.2504 inches
In Lixue's garden, the green pepper plants grew 5 inches in 3-4 months. To find out how many feet they can grow in one month, we can use the given information.
Let's start by converting the inches to feet. Since there are 12 inches in a foot, we divide 5 inches by 12 to get the equivalent in feet: 5 inches ÷ 12 = 0.4167 feet (rounded to four decimal places).
Now, we need to determine how much they can grow in one month. Since the plants grew 0.4167 feet in 3-4 months, we divide this amount by the number of months to find their average monthly growth.
If we assume that the plants grew 0.4167 feet in 3 months, their monthly growth rate would be 0.4167 feet ÷ 3 months = 0.1389 feet per month (rounded to four decimal places).
If we assume that the plants grew 0.4167 feet in 4 months, their monthly growth rate would be 0.4167 feet ÷ 4 months = 0.1042 feet per month (rounded to four decimal places).
Therefore, based on the given information, the green pepper plants can grow approximately 0.1389 feet to 0.1042 feet in one month, depending on whether we consider a 3-month or 4-month timeframe.
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Condense each expression into a single logarithm using the three properties. Simplify if possible. a) 5 log9 (b)-1/2log, (c) b)3/4loga (x) - 6 loga (v) - 3loga 2
The condensed expression for each expression is: log9 (b^5) for 5 log9 (b), -1/2log(b) for (b)^-1/2, and loga (2^3x^(3/4) / v^6) for 3/4loga (x) - 6 loga (v) - 3loga 2
Explanation:
For each expression, condense the logarithmic terms into one logarithmic term by applying the properties of logarithms. If possible, simplify the expression.
Step 1a. Condense each expression into a single logarithm using the three properties.
5 log9 (b) = log9 (b^5)(b)-1/2 log,
= log[(b)^-1/2] = log(1/b^(1/2))
= -1/2log(b)(c)3/4loga (x) - 6 loga (v) - 3loga 2
= loga [x^(3/4) / v^6 * 2^3]
= loga [(x^(3/4) * 8) / v^6]
= loga [2^3 * x^(3/4) / v^6]
= loga (2^3x^(3/4) / v^6)
Step 2b. Simplify if possible.
5 log9 (b) = log9 (b^5)-1/2log(b)3/4loga (x) - 6 loga (v) - 3loga 2= loga (2^3x^(3/4) / v^6)
Therefore, the condensed expression for each expression is: log9 (b^5) for 5 log9 (b), -1/2log(b) for (b)^-1/2, and loga (2^3x^(3/4) / v^6) for 3/4loga (x) - 6 loga (v) - 3loga 2.
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Lucas bought a tablet that was on sale at a 15% discount your supra case for $24.99 which is been a total of $237.49 written equation to find the original cost of the tablet
The original cost of the tablet is $70.89 in the given algebraic equation.
What is algebraic equation?A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.
Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.
Let the original cost be x
then
15/100 = 24.99.x
x = 166.6
237.49 - 166.6
= $70.89
Thus, the original cost of the tablet is $70.89 in the given algebraic equations.
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Full question?
Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?
Find the length of x
Answer:
20
Step-by-step explanation:
Since the triangles are similar then the sides must be proportional
10/6 = x/12 cross multiply expressions
6x = 120 divide both sides by 6
x = 20
i needhelp quick will give brainlist
Answer:
B. y=0.07x
Step-by-step explanation:
Hope this helps! Have a good day:)
how much is (((13x3)-3)/3)?
Answer: 12
Step-by-step explanation: 13*3=39
39-3=36
36/3=12✅
P=2W+2L (solve for L)
please help me❗️❗️
Answer:
L = 1/2(p) - w
Step-by-step explanation:
a) Flip the equation.
2l + 2w = p
b) Add -2w to both sides.
2l + 2w + −2w = p +-2w
2l = p − 2w
c) Divide both sides by 2.
2L/2 = p - 2w/2
L = 1/2(p) - w
What will be the amount of the sum Rs 1200 for one and
half year at 40 percent of interest compounded
quarterly?
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:
Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly
Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$
Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter
Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}
Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09
Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
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A fundraiser was set up to sell cookies in packages of 12. On the morning of the last day of the fundraiser, it was estimated that 204 cookies were sold. By the afternoon, it was confirmed that p less packages were sold than estimated.
Create an expression that will represent the number of packages of cookies that were sold for the fundraiser.
The expression that represents the number of packages of cookies sold for the fundraiser is 17.
Let's assume the number of packages of cookies sold for the fundraiser is represented by the variable "x."
Given that 204 cookies were sold, and each package contains 12 cookies, we can set up an equation to represent the situation:
Number of cookies sold = Number of packages sold × Number of cookies per package
204 = x × 12
To find the number of packages sold, we can rearrange the equation:
x = 204 / 12
Simplifying the expression, we get:
x = 17
Therefore, the expression that represents the number of packages of cookies sold for the fundraiser is 17.
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what is the percent of change from 25 to 29
well, clearly is 4 :).
now, if we take 25 to be the 100%, what is 4 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)