Answer:
D = 48kg
Step-by-step explanation:
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D.
From the above question
A : B = C : D
This can also be interpreted as
A/B = C/D
A is 20 kg
B is 24kg
C is 40kg
D is ?
Therefore:
20/24 = 40/D
Cross Multiply
20D = 24 × 40
D = 24 × 40/20
D = 48
Therefore, D = 48kg
The function of f(x) is graphed below
What is f(2)?
What is f(-2)
Answer:
f(2) means what is the y value at x=2
so f(2) = -1
f(-2) is asking what the y value at x= -2 is
so f(-2) = -5
Consider this code: begin main int y=1; int x=1; printline(x ); end main what will this code print?
This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.
Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.
Since the value of 'x' is '1', the code will print '1' as the output.
In summary, the code will print the value of the variable 'x', which is '1'.
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15. Which three lengths could be the lengths of the sides of a triangle?
Step-by-step explanation:
11 cm, 6 cm, 17 cm
Answer::
11cm, 6cm, 17cm
step by step explanation:
the correct answer is 11cm 6cm and 17cm
because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides
hypothenus= 17cm other two sides=11cm and 6cm
A police car is located 40 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 180 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90 feet per second. How fast is the red car actually traveling along the road?
The speed at which the red car is actually traveling along the road is 90 feet per second.
A red car is driving along the road in the direction of the police car and is 180 feet up the road from the location of the police car.
The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90 feet per second.
Therefore, the speed at which the red car is actually traveling along the road is 90 feet per second.
Summary: The speed at which the red car is actually traveling along the road is 90 feet per second.
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Solve for x so that - – 2 + 6 = 4
Answer:
x=-2 x=1
Step-by-step explanation:
There's two correct answers
Please give the proof process: 2n3 + 3n +10 = Q( n³).
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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Apply green’s theorem to evaluate the integral 3ydx 2xdy
The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of \(\int\limits_c 3ydx+2xdy\) be -xy
What is Green's theorem?Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
\(\int\limits_c Mdx+Ndy\) = \(\int\int\〖(N_{x}-M_{y}) \;dxdy\)
Using green's theorem, we have
\(\int\limits_c Mdx+Ndy\) = \(\int\int\〖(N_{x}-M_{y}) \;dxdy\) ............................... (1)
Here \(N_{x}\) = differentiation of function N w.r.t. x
\(M_{y}\)= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now, \(N_{x}\) = \(\Luge\frac{dN}{dx}\)
= \(\frac{d}{dx} (2x)\)
= 2
and, \(M_{y}\) = \(\Huge\frac{dM}{dy}\)
= \(\frac{d}{dy} (3y)\)
= 3
Now using Green's theorem
= \(\int\int\〖(2 -3) dx dy\)
= \(\int\int\ -dxdy\)
= \(-\int\ x dy\)
=\(-xy\)
The value of \(\int\limits_c 3ydx+2xdy\) be -xy.
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Share £20 in the ratio of 3:2
Answer:
12 and 8
Step-by-step explanation:
Describe in words the end behavior of f(x)=-5x^4
Answer:
see below
Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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The population of an island was 2 million in 1950. The population grew in an exponential trend for 63 years and became 6.5 million in 2013. It is estimated that the carrying capacity of the island is 10 million. Assuming the population growth rate in the future remains the same as in the last 50 years, what will be the population of the island in 2050? (Assume constant carrying capacity and consumption/capita.)
The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.
If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050
The population is given to be increasing exponentially, which means it will follow the equation:
\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.
We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:
\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)
Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.
Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:
\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)
where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)
where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)
Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)
To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):
\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.
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which of the following are equation for the line shown below.(-2,4) and 1,-5)
what are the coordinates of point j on this graph
Answer:
1,3
Step-by-step explanation:
What is 4 less than the quotient of x and 3?
Answer:
Step-by-step explanation:
Quotient means divide. So you are dividing x by 3 written as x/3
Then you subtract 4
x
===== - 4
3
How do I find x in an iregular hexigon
Answer:
It mostly depends on the question
Step-by-step explanation:
Type the correct answer in each box. In part E, you proved that any Pythagorean triple can be generated using the identity (x^2 − y^2)^2 + (2xy)^2 = (x^2 + y^2)^2. Find the missing x- and y-values and Pythagorean triples using the identity given. Write the triple in parentheses, without spaces between the values, with a comma between values, and in order from least to greatest. x-value y-value Pythagorean Triple 4 3 5 (9,40,41) 6 3 (27,36,45) 7 5
Answer: (9, 40, 41)
Step-by-step explanation:
There are an infinite number of Pythagorean triples.
Any value a, b, c such that a² + b² = c²
Here are a few of them:
3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
9, 40, 41
Answer:
(x²-y²)² + (2xy)² = (x²+y²)²
Find the missing x- and y-values and Pythagorean triples using the identity given
A Pythagorean triple consists of three positive integers a, b, and c, that satisfy the equation from the Pythagorean theorem, thus, a² + b² = c², such triple is commonly written (a,b,c).
We are given the equation : (x²-y²)² + (2xy)² = (x²+y²)² since this, we have :
a = (x²-y²)
b = (2xy)
c = (x²+y²)
Question 1)
X Value = 4
Y Value = 3
Pythagorean triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (4²-3²) = 16-9 = 7
b = (2xy) = (2*4*3) = 24
c = (x²+y²) = (4²+3²) = 16+9 = 25
Answer 1 : Pythagorean triples : (7,24,25)
Question 2)
X Value = 5
Y Value = ?
Pythagorean Triples: (9,40,41)
Now we have a, b, and c, to determine Y
b = (2xy) = 40
Y = 40/2x = 40/2*5 = 40/10 = 4
Answer 2 : Y = 4
Question 3)
X Value = ?
Y Value = 3
Pythagorean Triples: (27,36,45)
Now we have a, b, and c, to determine X
b = (2xy) = 36
X = 36/2y = 36/2*3 = 36/6 = 6
Answer 3 : X = 6
Question 4)
X Value = 7
Y Value = 5
Pythagorean Triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (7²-5²) = 49-25 = 24
b = (2xy) = (2*7*5) = 70
c = (x²+y²) = (7²+5²) = 49+25 = 74
Answer 4 : Pythagorean triples : (24,70,74)
Hope this helps!
Step-by-step explanation:
From Spymore
PLZ ANSWER!! ONLY IF YOU ARE CORRECT (SELECT ALL THAT APPLY)
Answer:A, C, and D
Step-by-step explanation:
5.) -4B – 16 = B – 31
Step-by-step explanation:
-5B - 16 = -31
-5B = -15
B = 3
Answer:
B = 3
Step-by-step explanation:
-4B - 16 = B - 31
add 31 to both sides
-4B + 15 = B
add 4B to both sides
15 = 5B
divide both sides by 5
B = 3
multiple regression analysis is applied when analyzing the relationship between __________.
Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.
Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.
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Find angle 1
PLS ANSWER ASAP
Answer:
80 degrees
Step-by-step explanation:
What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees
We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.
Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.
Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.
what is the largest integer that is a divisor of \[(n 1)(n 3)(n 5)(n 7)(n 9)\] for all positive even integers $n$?
The largest integer that is a divisor of (n 1)(n 3)(n 57)(n 9 ) for all positive even integers $n$ is the largest prime factor of $n_9$.
The given expression consists of five consecutive odd numbers: $(n_1), (n_3), (n_5), (n_7), (n_9)$. When we multiply these consecutive odd numbers, all their prime factors cancel out except for the largest prime factor, which is the prime factor of the largest odd number.
Since we are considering even numbers, the largest odd number in this case is $n_9$. Therefore, the largest prime factor of the expression is the largest prime factor of $n_9$.
To find the largest prime factor of a number, we can start dividing it by the smallest prime numbers (2, 3, 5, etc.) and keep dividing until we can't divide anymore. The result will be the largest prime factor.
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at what rate is water pouring into a rectangular bathtub with base $$23sq ft if the water level rises at a rate of $$1.4ft/min?
At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min
What is Volume?Volume: Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
at what rate is water pouring into a rectangular bathtub with base 23sq ft
lb=23
volume of rectangle, v=lbh
v=23h
differentiate with respect to time
dv/dt=23 dh/dt.....equation(1)
the water level rises at a rate of 1.4ft/min
dh/dt=1.4ft/min
substitute in equation(1)
dv/dt=23(1.4)
dv/dt=32.2
At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min
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Can some one please help me find the value of x in this problem
Answer:
x=13
Step-by-step explanation:
72+ (7x+24) = 180
180-72= 108
108-24= 84
7x= 84
x= 12
2.2. South African friends of the Netherlands couple departed from Pretoria at 04h30am to spend the holiday with them. Their journey is described as follows: On their way from Polokwane they took the turn-off to the R521 route. Rest for 45 minutes at Dendron and took 15 minutes to do someshopping and till up the car's fuel tank at All days. 2.2.1. If the scale of the map is given as 1: 3 000 000 and the distance measured on the map between Beitbridge and Musina is 1,3 cm. calculate (in km) the actual distance between Beitbridge and Musina. ● (3)
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.
The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.
The measured distance on the map between Beitbridge and Musina is 1.3 cm.
To find the actual distance, we can set up a proportion using the scale:
1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.
Simplifying the proportion, we have:
1 / 3,000,000 = 1.3 / x.
Cross-multiplying, we get:
x = (1.3 * 3,000,000) / 1.
x = 3,900,000 / 1.
x = 3,900,000 km.
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
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The 0 function of h(x)=x^2+3x-18 is?
let'sWe are to find the zero's of the function
\(h(x)=x^2+3x-18\)i.e the values of x for which
\(x^2+3x-18=0\)Let's factorize this expression to obtain that;
\(\begin{gathered} x^2+3x-18=0 \\ \text{lets look for factors that sum to +3 and multiply to get -18. This is +6 and -3, so;} \\ x^2+6x-3x-18=0 \\ x(x+6)-3(x+6)=0 \\ (x-3)(x+6)=0 \end{gathered}\)We see that the function h(x) is zero for x = 3 or x = -6
Montraie goes out to lunch. The bill, before tax and tip, was $19.45. A sales tax of 7.5% was added on. Montraie tipped 22% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer:
lunch cost $25.51
The price of a flight was increased by 2% to £700. What was the price before the increase? Give your answer to the nearest penny.
Answer:
686.27
Step-by-step explanation:
x + .02x = 700
1.02x = 700
x = 686.27
Evaluate the expression when w=-11.5, x=-9, and y=7.4W-x+y
Given the expression;
\(w-x+y\)and the values of x,y and w as;
\(\begin{gathered} w=-11.5 \\ x=-9 \\ y=7.4 \end{gathered}\)substituting the given values;
\(\begin{gathered} w-x+y \\ =-11.5-(-9)+7.4 \\ =-11.5+9+7.4 \\ =4.9 \end{gathered}\)Therefore, the value of the expression is;
\(undefined\)Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13
1313 cinder cone volcanoes, 18
1818 shield volcanoes, and 6
66 stratovolcanoes.
Use the observed frequencies to create a probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study.
Input your answers as fractions or as decimals rounded to the nearest hundredth.
The probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately 36.1% for cinder cone volcanoes, 50.0% for shield volcanoes, and 13.9% for stratovolcanoes based on the observed frequencies.
To create a probability model based on the observed frequencies, we need to calculate the probabilities of selecting each type of volcano. This can be done by dividing the frequency of each type of volcano by the total number of volcanoes observed.
Let's calculate the probabilities for each type of volcano:
Cinder cone volcanoes:
Probability = Frequency of cinder cone volcanoes / Total number of volcanoes observed
= 13 / (13 + 18 + 6)
≈ 0.361 or 36.1%
Shield volcanoes:
Probability = Frequency of shield volcanoes / Total number of volcanoes observed
= 18 / (13 + 18 + 6)
≈ 0.500 or 50.0%
Stratovolcanoes:
Probability = Frequency of stratovolcanoes / Total number of volcanoes observed
= 6 / (13 + 18 + 6)
≈ 0.139 or 13.9%
Therefore, the probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately:
- Cinder cone volcanoes: 36.1%
- Shield volcanoes: 50.0%
- Stratovolcanoes: 13.9%
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