Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.
Answer:
The constant of proportionality is 5 minutes per bracelet
Step-by-step explanation:
If x and y are proportion, then y = k x, where
k is the constant of proportionalityWe can find k by dividing y by x ⇒ k = \(\frac{y}{x}\)Let us solve our question
∵ Olivia is making bead bracelets for her friends
∵ She can make 3 bracelets in 15 minutes
We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet
∴ y = the time in minutes
∴ x = the number of bracelets
∵ y proportion with x
∴ k = \(\frac{y}{x}\)
∵ y = 15 and x = 3
∴ k = \(\frac{15}{3}\)
∴ k = 5
∴ The constant of proportionality is 5 minutes per bracelet
tangent to both axes, center in tge second quadrant, radius is 4. Determine its general form
The general form of a circle with center (h, k) and radius r is given by the equation:
(x - h)^2 + (y - k)^2 = r^2
In this case, the circle is tangent to both axes, meaning it touches the x-axis and y-axis at a single point each. Since the center is in the second quadrant, the x-coordinate (h) is negative, and the y-coordinate (k) is positive. The radius is given as 4.
Therefore, the general form of the circle can be expressed as:
(x + h)^2 + (y - k)^2 = r^2
Substituting the given values, we have:
(x + h)^2 + (y - k)^2 = 16
where h < 0 and k > 0. This equation represents a circle with its center in the second quadrant, tangent to both axes, and with a radius of 4.
Learn more about equation here: brainly.com/question/30130739
#SPJ11
Please help me with this :)
Answer: its A ........................22 +/- (3(4)/sqrt 144) = 22 +/- 1 = 21 - 23
Step-by-step explanation:
Answer:
i wanna say A srry if im wrong tho im never right
Step-by-step explanation:
ye
What is the difference in weight between the horse and combined weight of the dolphin and the ape?
Answer:
Step-by-step explanation:
44
What is additive inverse for 23 ?
Answer:23
Step-by-step explanation:
:)
Additive inverse of 23 will be -23
Its the opposite which is negative on the number line
Help please. Math don’t understand!
Answer:
10 + 8 + 2 = 20 feet apart
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
what is th answer n2 +20 in the first terms
Answer:
In the question it is given ,
nth tem of sequence is n²+20
So, first term is (1)²+20=21
Second term is (2)²+20=24
Third term is (3)²+20=29
brainliest please :) hope this helped
in , there were immigrants admitted to a country. in , the number was . a. assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900. b. use your result in part a to predict the number of immigrants admitted to the country in . c. considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.
a. The linear equation for the number of immigrants is y = 16,033.444t - 16,764,061.4.
b. The predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.
c. The validity of using this equation to model the number of immigrants throughout the entire 20th century is questionable due to the negative y-intercept, which implies negative immigrants in the year 1900.
a. Assuming a linear change in immigration, we can write the equation expressing the number of immigrants, y, in terms of t, the number of years after 1900, as:
y = mt + b
where m represents the rate of change (slope) and b represents the initial value (y-intercept).
To find the values of m and b, we can use the given data points (1950, 241,832) and (2004, 1,107,638).
Let's calculate the slope (m):
m = (change in y) / (change in t)
m = (1,107,638 - 241,832) / (2004 - 1950)
m = 865,806 / 54
m ≈ 16,033.444
Now, let's substitute one of the data points (1950, 241,832) into the equation to find the value of b:
241,832 = (16,033.444)(1950) + b
b = 241,832 - (16,033.444)(1950)
b ≈ -16,764,061.4
Therefore, the linear equation for the number of immigrants is:
y = 16,033.444t - 16,764,061.4
b. To predict the number of immigrants admitted to the country in 2014, we need to find the value of y when t = 2014 - 1900 = 114:
y = 16,033.444(114) - 16,764,061.4
Calculating the expression:
y ≈ 1,825,753.216
Therefore, the predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.
c. Considering the value of the y-intercept in the equation (-16,764,061.4), it suggests that in the year 1900 (t = 0), there were already negative immigrants, which does not make sense in the context of immigration. Therefore, using this linear equation to model the number of immigrants throughout the entire 20th century may not be valid. It is important to consider the limitations of the linear model and the historical context of immigration patterns.
To know more about equation, refer here:
https://brainly.com/question/17960853
#SPJ4
Complete Question:
In 1950, there were 241,832 immigrants admitted to a country. In 2004, the number was 1,107,638
a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900
b. Use your result in part a to predict the number of immigrants admitted to the country in 2014
c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.
Which two sets of angles are corresponding angles?
The two sets of angles are corresponding angles are angles p and s & angles q and r
Which two sets of angles are corresponding angles?From the question, we have the following parameters that can be used in our computation:
The triangles
By definition, corresponding angles are angles that are at relative the same position
using the above as a guide, we have the following:
Angles p and s & angles q and r are corresponding angles
Read more about angles at
https://brainly.com/question/31898235
#SPJ1
For Questions 16 – 18, refer to the problem below. Consider the following set of simultaneous equations. 3x − 4y = −42 (i)
2x + 6y = 50 (ii)
16. If x is made the subject of the formula in equation (ii), then:
A x = 3y + 25 B x = −3y + 25 C x = −6y + 50 D x = −3y − 25
17. If x is eliminated in equation (i) then:
A −13y = −117 B 13y = −117 C 15y = 124
D 16y = 215
Answer:
Step-by-step explanation:
Choose values for horizontal and vertical translation to place triangle abc on top of triangle def
To place triangle ABC on top of triangle DEF, we need to choose values for horizontal and vertical translation. By applying the chosen values for horizontal and vertical translation, triangle ABC can be accurately placed on top of triangle DEF, aligning their corresponding vertices and edges
In order to align triangle ABC on top of triangle DEF, we can use horizontal and vertical translation to move triangle ABC to the desired position. Horizontal translation refers to shifting the triangle left or right, while vertical translation involves moving the triangle up or down.
To determine the values for horizontal and vertical translation, we need to consider the relative positions of the vertices of both triangles. By analyzing the coordinates of corresponding vertices in both triangles, we can calculate the horizontal and vertical distances between them.
Once we have calculated the horizontal and vertical distances, we can choose appropriate values for horizontal and vertical translation that will move triangle ABC to coincide with triangle DEF. These values will depend on the specific coordinates and sizes of the triangles involved.
By applying the chosen values for horizontal and vertical translation, triangle ABC can be accurately placed on top of triangle DEF, aligning their corresponding vertices and edges.
Learn more about translation here:
https://brainly.com/question/31938343
#SPJ11
For f(x)=x²−3, (a) calculate f(5x) and 5f(x) and (b)f(x−2) and f(x)−f(2).
Calculate the difference quotient of f(x)=−7x²−5x+9
a.
= (5x)² - 3 = 25x² - 3
- 5f(x) = 5(x² - 3) = 5x² - 15
b.
- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1
- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4
a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.
f(5x) = (5x)² - 3 = 25x² - 3
To calculate 5f(x), we multiply the function f(x) by 5.
5f(x) = 5(x² - 3) = 5x² - 15
b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.
f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1
To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.
f(x) = x² - 3
f(2) = 2² - 3 = 4 - 3 = 1
f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4
For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:
Difference quotient = [f(x + h) - f(x)] / h
Expanding the function and substituting into the difference quotient formula, we have:
[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h
Simplifying and expanding further:
= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h
= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h
= [-14hx - 7h² - 5h] / h
= -14x - 7h - 5
The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.
Learn more about function here:
https://brainly.com/question/30721594
#SPJ11
If y1 and y2 are solutions to yâ²â²â6yâ²+5y=4x, then 3y1â2y2 is also a solution to the ODE.
a. true b. false
You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let women and men be represented by populations 1 and 2, respectively. The relevant hypotheses are constructed as ____________.
The relevant hypotheses for this question would be:Null hypothesis (H0): The incidence of smoking among women is not significantly higher than among men in the neighborhood (μ1 ≤ μ2).
Null hypothesis (H₀): The incidence of smoking among women (population 1) is equal to the incidence of smoking among men (population 2), or p₁ = p₂.
Alternative hypothesis (H₁): The incidence of smoking among women (population 1) is greater than the incidence of smoking among men (population 2), or p₁ > p₂.
You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let women and men be represented by populations 1 and 2, respectively. The relevant hypotheses are constructed as relevant hypothesis .
Learn more about hypothesis here : brainly.com/question/29519577
#SPJ11
plsss help theorical probability
calculate the theoretical probability of a 1 eyed, 1 horned, flying, purple, people eater
The theoretical probability for the 1 horned, 1 eyed, flying, people eater purple is found to be 1/120.
Explain about the theoretical probability?Experimental Probability: Based on actual results rather than mathematical calculations, the experimental probability of an occurrence is the likelihood that the event will actually occur.
Theoretical Probability: Considering that the event is ideal, the theoretical chance that it will occur is the theoretically ideal probability of a specific result. The flaws in the system are not taken into consideration by theoretical probability.
Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
The given probability are;
1 eyed - 3/41 horned - 1/5flying - 2/3 purple -3/8 people eater - 1/2Let P(E) be the theoretical probability 1 horned, 1 eyed, flying, people eater purple.
Then,
P(E) = 3/4 * 1/5* 2/3* 3/8* 1/2
P(E) = 1/120
Know more about the theoretical probability
https://brainly.com/question/1503266
#SPJ1
When dummy coding qualitative variables, the level with the lowest mean value should always be the base level. True False 4 points We are testing a quadratic and are unsure whether the curvature would be negative or positive. Which of the following is TRUE: the alternative hypothesis is that the beta equals zero the curve will likely be a downward concave we will not divide the p-value by 2 Statistix 10 runs a one-tailed test by default
1) The statement "When dummy coding qualitative variables, the level with the lowest mean value should always be the base level" is FALSE.
2) we will not divide the p-value by 2.
1. Dummy coding qualitative variables: The statement "When dummy coding qualitative variables, the level with the lowest mean value should always be the base level" is FALSE. The choice of the base level in dummy coding is arbitrary, and it does not have to be the level with the lowest mean value.
2. Testing a quadratic model: Since you are unsure whether the curvature would be negative or positive, the appropriate alternative hypothesis is that the beta for the quadratic term is not equal to zero (i.e., it has an effect). In this case, you will perform a two-tailed test, which means you will not divide the p-value by 2.
Learn more about "mean": https://brainly.com/question/1136789
#SPJ11
2. An object is traveling along the line y = 2x+1 heading up and to the right. If the temperature at (x, y) in degrees celsius is given by f(x,y) = 2y+ry, and if the plane is measured in meters, what is the instantaneous temperature change the object is experiencing at the instant when 23?
The object's instantaneous temperature change when y = 23 is at the point (x, y) is 4 + 2r.
To find the instantaneous temperature change experienced by the object at the point (x, y) when y = 23, we need to calculate the partial derivative of the temperature function f(x, y) with respect to x and evaluate it at the given point.
Given that f(x, y) = 2y + ry, where r is a constant, let's find the partial derivative ∂f/∂x:
∂f/∂x = ∂/∂x (2y + ry)
Since y = 2x + 1, substitute this into the equation:
∂f/∂x = ∂/∂x (2(2x + 1) + r(2x + 1))
= ∂/∂x (4x + 2 + 2rx + r)
Taking the derivative with respect to x:
∂f/∂x = 4 + 2r
Now, we evaluate this partial derivative at the given point when y = 23:
∂f/∂x (at y = 23) = 4 + 2r
Therefore, the instantaneous temperature change experienced by the object at the point (x, y) when y = 23 is 4 + 2r, where r is the constant determined by the given temperature function.
Learn more about derivative here:
https://brainly.com/question/25324584
#SPJ11
It is 185 miles to Fort Worth. If Vang drives 2 hours at 65 miles per hour, how far will he be from Fort Worth?
Multiply the number of hours times the number of miles per hour.
Then subtract the number of miles driven from the total number of miles.
Write and solve the arithmetic problem for the first step.
Answer:
130
Step-by-step explanation:
65x2=130
185-130=155'
hope this helps :)
brainliest plz
Which of the following types of distributions use t-values to establish confidence intervals? Standard normal distribution Log.normal distribution ot-distribution O Poisson distribution
The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:
The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.
To know more about probability :
https://brainly.com/question/31828911
#SPJ11
Find: ∠a ∠b ∠c Plaese help
Answer:
i believe a=105, b=29, and c=45
A number that represents a property of the sample (like mean or proportion) is:____.
A number that represents the property of the sample is the statistics.
StatisticsStatistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.
'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.
Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.
Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.
To know more about mean and proportion,
https://brainly.com/question/24232216
#SPJ4
What is the slope of the line through (- 7 2 and (- 6 7?
The slope of the line through (-7,2) and (-6,7) is 5.
The slope of a line is defined as the ratio of the vertical change (rise) over the horizontal change (run). and is the measure of inclination from the x-axis of the cordinate plane.
To find the slope of a line, we need the coordinates of two points on the line. In this case, the coordinates of the two points are (-7,2) and (-6,7).
The formula for the solpe is given by \(\frac{y_2-y_1}{x_2-x_1}\)
y₂ - y₁ = 7 -2 =5
x₂ - x₁ = -6 -(-7) = 1
To calculate the slope of the line = 5/1 = 5
To know more slope click on the link below:
https://brainly.com/question/3605446#
#SPJ11
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
For more questions on: compound interest
https://brainly.com/question/31474686
#SPJ8
Need help no work shown=a big fat 0
Need 22,23,and24
26 if can
Answer:
22.)
m/8 = 15/24
8×15= 120
120÷24= 5
m=5
23.)9/p = 4/48
9×48= 432
432÷4=108
p=108
24.) 10.50÷3= 3.50
thats $3.50 per pizza.
9 pizzas= $31.50
plus one pizza aka, 31.50+3.50= $35
therefore, 10 pizzas would cost $35
26.) 5/2 = d-2/4
cross multiply:
5×4=2(d-2)
20= 2(d-2) divide both sides by 2
20÷2 = 2(d-2)÷2
10= d-2 exchange places with d and 10 and change signs
-d= -2-10
-d=-12 change the sign on both sides when the variable is negative.
d=12
There are some chickens and pigs in a farm. If you count the number of heads, you get 80 heads. If you count the number of feet, you get 254 feet. How many chickens and how many pigs are there?
Step-by-step explanation:
Let's assume that x = number of chickens and y = number of pigs.
\(80 \: heads = x + y\)
Since there are 4 feet for pigs and 2 feet for chickens:
\(254 \: feet = 2x + 4y\)
By substitution, let's rearrange the first equation:
\(x = 80 - y\)
Substituting this equation to the second one:
\(254 = 2(80 - y) + 4y \\ 254 = 160 - 2y + 4y \\ 254 - 160 = 2y \\ 94 = 2y \\ y = 47 \: pigs\)
Since we found the number of pigs already, let's substitute the value to any of the equations.
\(80 = x + y \\ 80 = x + 47 \\ 80 - 47= x \\ x = 33 \: chickens\)
There are 32 chickens and 48 pigs.
To check if 3e are correct, let's use the second equation:
\(254 = 2x + 4y \\ 254 = 2(33) + 4(47) \\ 254 = 66 + 188 \\ 254 = 254\)
Therefore, the values we found are correct.
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
CLE
2x units
28 + 3x units
12x units
49 + 9x units
Answer:
49 + 9x units
Step-by-step explanation:
perimeter is sum of all the sides
in a distribution, a random variable can take any value in a specified range. group of answer choices discrete probability cumulative relative frequency continuous probability
In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)
A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.
Learn more about Continuous probability distribution:
https://brainly.com/question/25023966
#SPJ4
cindy is projecting her earnings to be $90,000, taxable income of $65,500, and has calculated that she will owe $8,902. what is her average tax rate?
Cindy's average tax rate is approximately 13.59%.
To calculate Cindy's average tax rate, we divide the total tax paid by her taxable income and then multiply by 100 to express it as a percentage.
Average tax rate = (Total tax paid / Taxable income) * 100
In this case, Cindy's taxable income is $65,500, and she has calculated that she will owe $8,902 in taxes.
Average tax rate = (8,902 / 65,500) * 100
Average tax rate ≈ 13.59%
Therefore, Cindy's average tax rate is approximately 13.59%.
To study more about Average Tax Rate:
https://brainly.com/question/28962879
Cindy is projecting her earnings to be $90,000, a taxable income of $65,500, and has calculated that she will owe $8,902. Her average tax rate is 13.60%.
How to find the average tax rate?
The average tax rate is determined by dividing the total tax paid by the total income earned. The average tax rate is calculated by dividing the total amount of tax paid by the total taxable income.
Average Tax Rate = Total Tax Paid / Taxable Income Cindy's
The average tax rate can be found as follows:
Average tax rate = (Total tax paid ÷ Taxable income) × 100%
Average tax rate = ($8,902 ÷ $65,500) × 100%
Average tax rate = 0.135994 × 100% ≈ 13.60%
Therefore, Cindy's average tax rate is 13.60%.
To learn more about the average tax rate visit:
https://brainly.com/question/32228027
#SPJ11
Help plsssss I’m struggling
The values of the expressions, obtained by the combination of the functions, f(x), g(x), and h(x), and found by plugging in the values of the specified function at the indicated value of x are;
17. g(9) + h(-14) = 15
19. (1/2)·g(-6) + f(-2) = -22
21. x = -12
What is a function in mathematics?A function defines the relationship between an input variable and an output variable, such that each input produces only one value of the output.
The functions, f(x), g(x), and h(x), are defined as follows;
f(x) = -x² + 8·x - 11
\(g(x) =14-\dfrac{2}{3} \cdot x\)
h(x) = -x - 7
17. The value of g(9) can be found by plugging x = 9, in the function for g(x) as follows;
\(g(9) =14-\dfrac{2}{3} \times 9= 8\)
g(9) = 8
Similarly, the value of h(-14), can be found by plugging in x = -14, in the function for h(x) as follows;
h(-14) = -(-14) - 7 = 7
h(-14) = 7
Therefore, g(9) + h(-14) = 8 + 7 = 15
19. The value of g(-6), can be found as follows;
\(g(-6) =14-\dfrac{2}{3} \times (-6)= 18\)
g(-6) = 18
Similarly, for f(-2), we get;
f(-2) = -(-2)² + 8 × (-2) - 11 = -31
Therefore;
\(\dfrac{1}{2}\cdot g(-6) +f(-2) = \dfrac{1}{2} \times 18 + (-31) = 9 - 31 = -22\)
21. h(x) = -x - 14
If the value of h(x) = -2, we get;
h(x) = -2 = -x - 14
14 - 2 = -x
-x = 12 (symmetric property)
Dividing both sides by (-1), we get;
-x/(-1) = x = 12/(-1) = -12
x = -12
Learn more about functions here:
https://brainly.com/question/27957211
#SPJ1