The polygons are similar. The correct similarity statement is JKML ~ PQRS.
How to find similar polygons?Similar polygons are two polygons with the same shape, but different sizes. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor.
Therefore, the corresponding sides have the same proportion. The corresponding angles of similar polygons are also the same.
Therefore, let's check if the polygons are similar as follows:
Hence,
2.5 / 1.5 = 8 /4.8
Hence, the polygon are similar as follows:
JKML ~ PQRS
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can anyone help me, but please don't just leave the fraction
Answer:
-25
Step-by-step explanation:
= (20-25)(16+4)/-8+(3×4)
= (-5×20)/(-8+12)
= -100/4
= -25
Abdul drive at a peed of 60
mile per hour. He ha covered 180
mile o far. Which equation how how to calculate the number of hour Abdul took to cover thi ditance?
Answer:
3 hours
Step-by-step explanation:
Given,
Distance = 180 miles
Speed = 60 miles per hour
Distance/Speed = Time
Thus, Time taken is 180/60
Which is 3 hours
g = c + x , solve for x
Answer: x = g - c
Step-by-step explanation:
Isolate the variable: g-c = c-c + x
Rearrange the terms: g - c = x
x = -c + g
Drag a description next to the matching model to complete this proof of the Pythagorean theorem. Show that a square with area c2 can be transformed into two squares with areas a2 and b2
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
What is the Pythagorean theorem?Mathematically, it can be expressed as c² = a² + b² where c is the length of the hypotenuse and a and b are the lengths of the other two sides. The theorem can be proven using Euclidean geometry.
In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In short it is written as: a² + b² = c²
For example, if the sides are 6cm and 8cm, the hypothenuse will be:
c² = 6² + 8²
c² = 100
c = ✓100
c = 10cm
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Will give brainiest-
John drives his car on two roads for a total of 6 hours. On one road, he can drive at 100 km/h and on the other, he drives at a speed of 80 km/h. If he drives a total distance of 530 km, how long does he drive on each road? Show steps.
Answer:
see below
Step-by-step explanation:
road 1 100km/h x hrs
road 2 80km/hr y hrs
total 6hours
total 530 km
100x+80y=530
x+y=6
x=6-y
100(6-y) + 80y =530
600-100y+80y =530
20y=70
y=3.5
x =6-3.5 =2.5
Answer: x =2.5 y= 3.5
Step-by-step explanation:
Select all the expreion that are irrational. A. −3–√2
B. 2–√. 3–√
C. 27−−√. 3–√
D. 57–√2−57–√
E. 6–√32–√
The expression that irrational are:
B. 2–√. 3–√
C. 27−−√. 3–√
D. 57–√2−57–√
Rational Vs Irrational ExpressionsThe square root of a non-perfect square is an irrational number, meaning that it cannot be expressed as a finite decimal or as a fraction of two integers.
In options B and C, the square root of 3 and the square root of 27 respectively are both irrational because 3 and 27 are not perfect squares.
In option D, both 57-√2 and 57-√ are irrational numbers because 57 is not a perfect square and the square roots of 2 and 3 are irrational.
Option A and E can be simplified to finite decimal or fraction, therefore they are rational numbers.
A fraction is not always expressed as a decimal. A fraction is a way of representing a number as a ratio of two integers, for example, 1/2 or 3/4. While a decimal is a way of expressing a number as a sum of powers of 10, for example, 0.5 or 0.75. A fraction can be converted to a decimal and vice versa, but they are not the same thing.
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Unlike multiple regression, logistic regression: a) Does not have b weights. b)Is not open to sources of bias. c)Predicts a categorical outcome variable. d)Log-transforms the predictor variables.
Logistic regression is a statistical method used for modeling the relationship between a dependent variable and one or more independent variables. Unlike multiple regression, which is used for continuous outcome variables, logistic regression is used for categorical outcome variables, such as yes/no or pass/fail. The key differences between logistic regression and multiple regression are as follows:
a) Logistic regression does not have "b" weights - Logistic regression models the relationship between the independent variables and the dependent variable by using the logit transformation. The logit transformation maps the continuous range of values of the dependent variable to a binary range of values, allowing the estimation of the probability of a specific event. Unlike multiple regression, which uses beta (b) coefficients to quantify the strength and direction of the relationship between the independent variables and the dependent variable, logistic regression models the relationship through the use of odds ratios.
b) Logistic regression is not immune to sources of bias - Like any statistical method, logistic regression is susceptible to sources of bias, such as omitted variable bias and measurement error. It is important to be aware of these potential sources of bias and to address them through appropriate data cleaning and variable selection procedures.
c) Logistic regression predicts a categorical outcome variable - As mentioned, logistic regression is specifically designed for categorical outcome variables, such as yes/no or pass/fail. The model predicts the probability of the dependent variable taking a specific value and uses a threshold value to convert the predicted probabilities into binary outcomes.
d) Logistic regression does not log-transform the predictor variables - Unlike some statistical methods, such as log-linear regression, logistic regression does not log-transform the predictor variables. This is because the logit transformation is already applied to the dependent variable in order to model its relationship with the independent variables.
In conclusion, logistic regression is a powerful tool for modeling the relationship between a dependent categorical variable and one or more independent variables. It is important to understand its key differences from multiple regression and to be aware of potential sources of bias in order to use this method effectively.
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Which situation can be represented by the equation y=x+13?
Answer: D
Step-by-step explanation: y (Waffle cones) = 13 (Waffle cones sold during first hour) + x (Waffle cones sold during remaining hours.)
If w = 4 + 3p, what is the value of w when p = 5?
Answer:
w = 19
Step-by-step explanation:
w = 4 + 3p
w = 4 + (3 x 5) since p = 5
w = 4 + (15)
w = 19
Answer:
w = 19
If the equation is w = 4 + 3p, we can substitute the 'p' for five.
w = 4 + (3 × 5)To solve for w, we need to first solve 3 times 5.
3 × 5 = 15w = 4 + 15Now, just solve.
w = 19Therefore if p = 5, w = 19.
Brain irons 2/9 of his shirt in 3 3/5 minutes. Brian irons at a constant rate.
use the distributive property to wrote each expression in equivalent form.
Using distributive property, each expressions are write in an appropriate form. The expression are shown below.
What is distributive property?This characteristic states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend separately by the number and then combining the results collectively.
According to the property, the outcomes are the same whether the numbers in parenthesis are added before or after multiplication. In situations when the polynomial cannot be combined together before being multiplied, the distributive property is very helpful. Using this property the following expression are solved.
4(6 + 7) = 4.6 + 4.7
14.1 - (14 - 9) = 14 (1 - 9)
5 (z - 10) = 5.z - 5.10
8.6 + 8.2 = 8 (6 + 2)
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a student walked to walmart, bought a bike, and rode it home. her average speed walking was 3.5 mph and riding the bike was about 14 mph and the total travel time was 1 hour. how far away is walmart from her home?
The Walmart is 2.8 miles away from her home. The result is obtained by using the speed formula in constant motion.
What is speed?Speed is the change in position per unit of time. It can be expressed as
v = d/t
Where
v = speedd = distancet = timeA student walked to Walmart, bought a bike, and rode it home.
The walking speed, v₁ = 3.5 mphThe riding speed, v₂ = 14 mphThe total travel time = 1 hourDetermine the distance between the Walmart and her home!
Let's say
Time for the student walking, t₁ = tTime for the student riding a bike, t₂ = (1 - t)The distance traveled when student walked and the riding a bike is the same. It is the distance between the Walmart and her home.
d₁ = d₂ = d
So, we get t.
d₁ = d₂
v₁t₁ = v₂t₂
3.5t = 14(1 - t)
3.5t = 14 - 14t
3.4t + 14t = 14
17.5t = 14
t = 17.5/14
t = 0.8 hour
Substitute t in the walking speed formula!
d₁ = v₁t₁
d₁ = 3.5(0.8)
d₁ = 2.8 miles
d = d₁ = 2.8 miles
Hence, the distance between the Walmart and her home is 2.8 miles.
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The cost of a basketball has dropped to $29 this week. Last week's cost was $36 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
HELPPPPPPPPPPPPp
The percentage decrease is 19.4%
What does a % mean in everyday terms?In contrast to being expressed as a fraction, a percentage is a portion of a total expressed as a number between 0 and 100. The percentages are as follows: 100% of everything, 0% of nothing, 50% of something, and 0% of nothing. Divide the component by the total, then multiply the result by 100 to get the percentage.
(Original Cost - New Cost) / Original Cost x 100 equals the percentage decrease.
In this case, the original cost is $36 and the new cost is $29, so we plug these values into the formula:
Percentage decrease = ($36 - $29) / $36 x 100 = $7 / $36 x 100 = 0.1944 x 100 = 19.44%
We can round the answer to the nearest tenth of a percent:
19.44% rounded to the nearest tenth is 19.4%
So the percentage decrease is 19.4%
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Can you solve this please?
Answer:
B C F
Step-by-step explanation:
Total flour = 5 * 3/8
and this is divided by 7 loaves
this becomes
5 * 3/8 / 7 then you just to look for the equivalent expressions
B C and F are the same thing
a public health nurse is developing an educational program on the zika virus for a community based on the information found on the county health website and comparing the number of persons (1,237) in the community. the nurse found there were six new cases in the past month in the county. the rate was computed as 0.005%. what type of rate does this measurement represent?
How quickly a disease spreads through a population is shown by its incidence rate. So this measurement represent incidence type of rate. So the option A is correct.
How quickly a disease spreads through a population is shown by its incidence rate. It has a few benefits over an occurrence ratio because it is based on person-time. Person-time may account for people entering and exiting the research because it is calculated for each participant.
Incidence is the percentage or rate of people who develop a condition within a specific time period, as opposed to prevalence, which refers to the proportion of people who have a condition at or during a specific time period.
The total number of event occurrences within a given time period are represented by the COUNT metric submission type.
The mortality rate, often known as the death rate, is a measurement of the number of fatalities (generally speaking, or those caused by a particular cause) in a given population, scaled to that population's size, per unit of time.
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The complete question is:
A public health nurse is developing an educational program on the Zika virus for a community based on the information found on the county health website and comparing the number of persons (1,237) in the community. The nurse found there were 6 new cases in the past month in the country. The rate was computed as 0.005%. What type of rate does this measurement represent?
a. incidence
b. prevalence
c. count
d. mortality
What is the area of rhombus KLMN?
467.4 in ²
287.3 in ²
289 in²
387.6 in²
The area of rhombus KLMN is 287.3 in²
What are rhombuses?A rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.
Given that, a rhombus KLMN with diagonals KM and NL,
Since, the diagonals of a rhombus bisects each other at a right angle,
Let they bisect at O, so, KM = 2MO = 2KO = 2×11.4 = 22.8 in
Therefore, Δ KON is a right triangle,
Using Pythagoras theorem,
KN² = KO² + ON²
ON = √17²-11.4²
ON = 12.611 in
LN = 2×12.611
LN = 25.22 in
Area of a rhombus = 1/2 × diagonal 1 × diagonal 2
Area = 1/2 × 25.22 × 22.8
= 287.3 in²
Hence, the area of rhombus KLMN is 287.3 in²
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The Zegen’s want to save for a down payment on a house. The monthly income is $6,000. Their fixed expenses are $3,000 and they plan to keep their flexible expenses to $2,000 a month. Everything remaining will be set aside for their down payment. How much will they be putting aside each month for their new house? Responses
Zegen saves $1000 every month for their new house.
How is savings related to income?By definition, saving is income minus spending. Investment refers to physical investment, not financial investment. That saving equals investment follows from the national income equals national product identity.
Given here: Zegen's income is $6000 and the fixed expenses are $3000 with flexible expenses $2000
Thus we savings = Income-expenditure
Savings = 6000-5000
=1000
Again it is given that the savings are put aside for the downpayment of a house
Hence, Zegen saves $1000 every month for their new house.
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A computer that costs $5,000 is on sale with a 44% discount (markdown). Find the sales price.
Answer: The actual selling price should be around $3472 and 22 cents.
Answer:
Step-by-step explanation:
elish as you know me lacey i will be glad to help you the correct awnser is 3472 dollars and 22 cents
The capacity of a fih tank i 492 pint. What i the capacity of the tank in quart?
The capacity of fish tank in quarts is 246.
Therefore the answer is 246.
A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.
There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.
The capacity of the fish tank in pints is 492.
Therefore, the capacity of the fish tank in quarts is
= 492 pints / 2 pints per quart
= 246 quarts
So, the capacity of the tank in quarts is 246 quarts.
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on a 6 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?
The probability of getting at least one question wrong on a 6 question multiple-choice test is 0.9874
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
Probability requested is equivalent to:
P(get one question right) = 1/2
P (get all questions right) = (1/2)^6
P(get one question wrong) = 1 - P (get all questions right)
P(get one question wrong) = 1 - (1/2)^6
P(get one question wrong) = 0.9874
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Hiker climb 9/10 of a 1-kilometer trail up a mountain 3/4 hour what wa the hiker average
peed in kilometer per hour
The average velocity of a hiker that climb 0.9 km in 45 minutes is 1,2 km/hour.
VelocityVelocity is a derived quantity derived from the principal quantities of length and time, where the formula for speed is distance divided by time. Velocity is a vector quantity that indicates how fast an object is moving. Average velocity is the ratio between the displacement that occurs in an object with the time it takes to make the move.
Given,
Distance traveled = [tex]\frac{9}{10}[/tex] of 1 kilometer = 0.9 km
Time = [tex]\frac{3}{4}[/tex] of 1 hour = 0.75 hours
Velocity = [tex]\frac{distance}{time}[/tex]
Velocity = [tex]\frac{0,9 km}{0,75 hours}[/tex]
Velocity = 1,2 kph
So that the velocity taken by the hiker is 1,2 kph.
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a bag of candy which has 100 pieces of candy has 15 yellow pieces, 17 green pieces, 18 red pieces, 20 blue pieces, and 30 orange pieces. what is the probability without replacing the piece you will grab 2 consecutive orange pieces?
The probability of grabbing 2 consecutive orange pieces is approximately 0.101.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.The probability of grabbing 2 consecutive orange pieces without replacement is calculated as:
[tex]\frac{30}{100}[/tex] × [tex]\frac{29}{99}[/tex] = 0.090/0.9 = 0.101010101...
Therefore, the probability of grabbing 2 consecutive orange pieces is approximately 0.101.
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A recipe uses 4 cups of milk to make 24 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
Answer:
768
Step-by-step explanation:
2 gallons is 32 cups. Times 32 by the servings which is 24. 32 times 24 equals 768
Question 3 of 10
Which of the following is the product of the rational expressions shown
below?
2x²
x²-1
Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .
Explain expression.Mathematical operations including addition, subtraction, multiplication, and division are required. They result in the following when combined: An equation, some information, and an arithmetic operator Values, parameters, and operations like adds, omissions, multiplications, and divisions make up a statement of fact. Different phrases and words can be contrasted and compared.
Here,
Given :
=> 2x² / x² -1
=> 2x² / x² -1 * x² -1 /x² -1
=> 2x²(x²-1) / (x² -1)²
=> 2x⁴ - 2x² / (x⁴ + 1 - 2x²)
=> 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²)
Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .
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A rancher ha three rectangular corral. They have the ame dimenion. The length i five time the width minu two. How can the combined perimeter and area be repreented algebraically? Let x be the variable
The combined perimeter and area of all three rectangular corrals can be represented algebraically as follows:
Total perimeter = 3 * (12x - 4) = 36x - 12
Total area = 3 * (5x^2 - 2x) = 15x^2 - 6x
Let x be the width of each rectangular corral.
The length of each corral is given by 5 times the width minus two:L = 5x - 2
The perimeter of each corral is the sum of the lengths of all four sides:P = 2(L + x)
= 2(5x - 2 + x)
= 2(6x - 2)
= 12x - 4
The area of each corral is the product of the length and the width:A = L * x
= (5x - 2) * x
= 5x^2 - 2x
So, the total perimeter and area of the three corrals can be represented algebraically as a function of x, the width of each corral.
Complete Question:
"A rancher has three rectangular corrals. They have the same dimensions. The length is five times the width minus two. How can the combined perimeter and area be represented algebraically? Let x be the variable."
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1: verify that x = ce−2t is a solution to x 0 = −2x. find c to solve for the initial condition x(0) = 100
The expression x = ce−2t is a solution of the initial condition is x(0) = 100 and x (0) = −2x.
In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).
Differentiating the function x = ce−2t
x = ce−2t with respect to t ,
We have:
x ′ = d/dt (Ce−2t)
x ′ = C(−2e−2t)
x ′ = −2(Ce−2t)
x ′= −2x. x ′
x ′ = d / d t ( C e − 2 t )
x ′= C ( − 2 e − 2 t )
x ′= − 2 ( C e − 2 t )
x ′= − 2 x .
Therefore,
The expression x = ce−2t is a solution of the initial condition is x(0) = 100 and x (0) = −2x.
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please solve ! this is important so please don't troll
Answer:
f(5)=21
Step-by-step explanation:
f(1) =5
f(2) =9
f(3)= 13
f(4)=17
there for f(5) =21 all added by four more
marshall puts the base of a 12 -foot ladder 7 feet from the wall of his house. how far up the wall does the ladder reach? round your answer to two decimal places.
To find the height the ladder reaches on the wall, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides.
Let's call the height the ladder reaches on the wall "h." Then we have a right triangle with sides h, 7 (the distance from the wall), and 12 (the length of the ladder).
Using the Pythagorean theorem, we have:
h^2 + 7^2 = 12^2
Solving for h:
h = sqrt(12^2 - 7^2) = sqrt(144 - 49) = sqrt(95) = 9.746781
Rounding to two decimal places, the ladder's height on the wall is 9.75 feet.
The Pythagorean theorem is a mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The theorem can be written as an equation:
a^2 + b^2 = c^2,
Where c is the hypotenuse length, and a and b are the lengths of the other two sides.
The Pythagorean theorem has numerous applications in mathematics, physics, engineering, and other fields and is considered one of the most important theorems in mathematics.
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If 10% of a number equals 4, find 40% of that number.
An object of mass m makes n revolutions per second around a circle of radius r at a constant speed. What is the kinetic energy of the object?
answer choices
A. 0
B. 1/2 π^ 2mn^ 2r^ 2
C. 2π ^2mn ^2 r ^2
D. 4π^2mn ^2r ^2
The kinetic energy of the object is 4 * π^2 * m * r^2 * n^2, which is option D.
The kinetic energy of an object with mass m and velocity v can be calculated as 1/2 * m * v^2.
In this case, the velocity of the object can be calculated as the circumference of the circle (2 * π * r) multiplied by the number of revolutions per second (n), so v = 2 * π * r * n.
Substituting this expression for v into the equation for kinetic energy, we get:
1/2 * m * (2 * π * r * n)^2 = 1/2 * m * (4 * π^2 * r^2 * n^2) = 4 * π^2 * m * r^2 * n^2.
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