Answer:
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Step-by-step explanation:
Summary
Give an example of a proportional relationship and write an equation that represents the relationship.
The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does
Relationships between two variables that are proportional occur when their ratios are equal.
Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.The ratio of the constant values of two proportional quantities is known as the proportionality constant.When either the ratio or product of two changing values results in a constant, that pair of values is said to be in proportion.The Direct Variation and Inverse Variation types of proportions between the two provided values determine the value of the proportionality constant.The direct proportionality formula, y = kx, demonstrates that y increases at the same rate as x does. The cost per item (y), which is inversely proportional to the number of things purchased (x), is represented by the symbol y x.By using the indirect proportionality formula, y = k/x, it can be seen that when y rises, x falls, and vice versa.Therefore the proportional relationship is represented by the formula,
y = kx .
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If m RST = (12x - 1) , m RSU = (9x - 15) , and m UST = 53 , what is m RST
We have the following:
\(\begin{gathered} 12x-1-53=9x-15 \\ 12x-9x=1+53-15 \\ 3x=39 \\ x=\frac{39}{3}=13 \end{gathered}\)therefore:
RST:
\(12\cdot13-1=155\)therefore RST is 155°
e the function.
R
ƒ(x) = −x² – 10x + 16
Find f(-7)
Submit Answer
Answer
37
Step by Step explanation
replace x with -7
which gives
-(-7)^2-10(-7)+16
= 37
Hardeepbuys 11 identical shirts and 24 identical ties for £403.51 the cost of a shirt is £15.65 find the cost of a tie
\(\large\bf{\underline{Given :}}\)
Cost of 11 shirts and 24 ties =£403.51cost of 1 shirt = £15.65__________________________________________
\(\large\bf{\underline{To\:find :}}\)
Cost of 1 tie__________________________________________
\(\large\bf{\underline{Cost\:of\:11\:shirts }}\)
\( = 11 \times 15.65\)
\( = 172.15\)
\(\large\bf{\underline{Therefore}}\)
\(⟹11 \: shirts \: + \: 24 \: ties \: = 403.51\)
\(⟹172 + 24 \: ties = 403.51\)
\(⟹24 \: ties = 403.51 - 172.15\)
\(⟹24 \: ties = 231.36\)
\(⟹1 \: tie \: = \frac{231.36}{24} \)
\(⟹1 \: tie = 9.64\)
\(\large\bf{\underline{Hence\:cost\:of\:a\:tie}}\)
\(\huge\bf{= £9.64}\)
Identify the slope and y-intercept of the function y=-5x+4.O A. The slope is -5.The y-intercept is (0,4).O B. The slope is 5.The yintercept is (0,4).O C. The slope is 4.The y-intercept is (0,5).O D. The slope is 4.The y-intercept is (0,-5).
In the equation
The slope is m = -5x
Y-intercep is b = (0,4)
The answer would be A
The slope is -5.
The y-intercept is (0,4).
this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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Mary's total bill for a used car is $2,700.00. If she pays an equal amount each month for an entire year, how much will she have to pay each month?
Answer:
$225
Step-by-step explanation:
When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.
__
1/12 × $2700 = $225
Mary will have to pay $225 each month.
is the question below
(one solution)
(infinite number of solutions) or
(no solution)
Answer: Infinite number of solutions
Step-by-step explanation: The graph has arrows at the end indicating it will go to infinity.
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is \(n_1 = n_2 = n = 250\)
The sample mean for USA is \(\= x_1 = 391 \ minutes\)
The sample mean for Mexico is \(\= x_2 = 426 \ minutes\)
The sample standard deviation for USA is \(s_1 = 25 \ minutes\)
The sample standard deviation for Mexico is \(s_2 = 49 \ minutes\)
The null hypothesis is \(H_o : \mu_1 = \mu_2\)
The alternative hypothesis is \(H_a : \mu_1 < \mu_2\)
Generally the test statistics is mathematically represented as
\(z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }\)
=> \(z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }\)
=> \(z = -10\)
From the z table the area under the normal curve to the left corresponding to -10 is
\(p-value = P(Z < -10 ) = 0.00\)
Generally from the value obtained we see that
The p-value is < \(\alpha\) hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than \(\alpha\) hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is \(\rm n_1=n_2=250\).
The hypothesis are as follows:
Null Hypothesis is \(\rm H_0 : \mu_1=\mu_2\)
Alternate Hypothesis is \(\rm H_1 : \mu_1<\mu_2\)
Now, the mathematical representation of test statistics is:
\(\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }\)
\(\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }\)
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than \(\alpha\) hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
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Find the length of side of square ABCD when diagonal is √ cm long. Also find the perimeter and area of the square
The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.
Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.
In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.
Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:
x^2 + x^2 = (16√2)^2
2x^2 = 512
Dividing both sides by 2, we have:
x^2 = 256
Taking the square root of both sides:
x = √256
x = 16 cm
So, the length of each side of the square is 16 cm.
To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:
Perimeter = 4 * 16 cm = 64 cm
To find the area of the square, we square the length of one side:
Area = (16 cm)^2 = 256 cm^2
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Note the complete question is:
Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?
Hello can I have some helpThe options for the first drop-sown menu are:increasesdecreasesstays about the sameThe options for the second drop-down menu are:inductivedeductiveThe options for the third one are:specific casesfacts, properties, and rules of logic
So we have a table that tells us how fast can Julia run a mile each year. First we need to see if the time it takes her to run a mile increases, decreases or stay the same over the years. The times it take her to run a mile are:
\(11.2,10.9,10.4,9.9,8.1\)As you can see the time get lower every year. For every year the time is lower than that of the year before. Then the answer to the first menu is decreases.
Now let's talk about inductive and deductive reasoning. Deductive reasoning is making an inference based on widely accepted facts or premises so basically it's based in facts, properties and rules of logic. Inductive reasoning on the other hand is making an inference based on an observation, often a sample. This means it is based in specific cases.
So the data we have comes from observation. We also only have the data of 5 years, not for the entire life of Julia. Then we are making an inference based on a sample. This means that the answer to the second menu is inductive and for the third menu is specific cases.
On a shopping trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $10 each and a number of necklaces at $11 each. She wrote a check for $1,270 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?
Will give brainiest to whoever answers this
9514 1404 393
Answer:
50 bracelets70 necklacesStep-by-step explanation:
Let n represent the number of necklaces Rosaria ordered. Then the total cost of the order is ...
10(120 -n) +11(n) = 1270
n = 70 . . . . . . . . . . . . . simplify, subtract 1200
120 -70 = 50 . . . . . . . the number of bracelets
Rosaria purchased 70 necklaces and 50 bracelets.
The intensity L(x) of light x feet beneath the surface of the ocean decreases at a rate proportional to its value at taht location. That is, L(x) satisfies the differential equation dL/dx=-kL, for some k>0 (the constant of proportionality). An experienced diver has determined that the weather condistions on the day of her dive will be such that the light intensity will be cut in half upon diving 19 ft under the surface of the water. She also knows that, once the intensity of the light falls below 1/5 of the surface value, she will haveto make use of the artificial light. How deep can the diver go without having to resort to the use of the artificial light?
The diver can go 44.11 feet deep without having to resort to use of the artificial light .
The intensity function L(x) satisfy the differential equation : dL/dx = -kL ;
On solving the differential equation by Integrating both sides, we get:
⇒ln |L| = -kx + C ; where C is the constant of integration.
Taking exponential of both sides,
we have ;
⇒ |L| = \(e^{-kx+C}\) = \(e^{C}\times e^{-kx}\) ;
⇒ L = \(Ce^{-kx}\) ; where C is a constant of integration.
We know that when x = 19, the intensity (L) is halved. That means :
⇒ L(19) = (1/2)L(0)
Substituting L = \(Ce^{-kx}\) into this equation, we get:
⇒ \(Ce^{-k\times19} = (\frac{1}{2} )Ce^{0}\)
Simplifying further , we get ;
⇒ \(e^{-19k} = \frac{1}{2}\) ;
Taking natural log(ln) on both sides,
⇒ -19k = ln(1/2)
⇒ k = ln(2)/(19) ....equation(1)
We also know that the diver must stop diving when L = (1/5)L(0).
Which means :
⇒ L(x) = (1/5)L(0)
Substituting L = \(Ce^{-kx}\) into this equation, we get:
⇒ \(Cx^{-kx} = (\frac{1}{5}) C\) ;
⇒ \(e^{-kx}\) = 1/5 ;
Taking natural log(ln) on both sides,
⇒ -kx = ln(1/5)
⇒ x = -ln(1/5)/k
Substituting k = ln(2)/(19) from equation(1) , we get:
⇒ x = [19×ln(5)]/ln(2) .
⇒ x = 44.11 feet .
Therefore, the diver can go approximately 44.11 feet deep .
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HELPPP!! I'LL MARK U
The area of the figure is ______ square units.
Answer:
8 units
Step-by-step explanation:
Area of square:
length * width
2 * 3
= 6 units
Area of triangle:
1/2 * base * height
1/2 * 2 * 2
= 2 units
Area of entire shape:
6 + 2
= 8 units
So, the area of the shape is 8 units.
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Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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What do you learn about Salesperson age after performing each of the correlation and regression analyses in the prior questions? Although a correlation by itself may not tell you the whole story, it's at least enough to establish causality A correlation analysis is usually enough to tell you what you need to know Even if a correlation is substantial, you don't know for sure until you measure it in a regression model with several other relevant variables If the correlation is negative, the relationship is not likely to be significant
Answer:
The Salesperson age after performing each of the correlation and regression analyses in the prior questions shows that:
Even if a correlation is substantial, you don't know for sure until you measure it in a regression model with several other relevant variables.
Step-by-step explanation:
The simple difference between correlation and causation is that a correlation measures the linear relationship between two variables, while causation is a statistical measure that establishes that one event or variable is the cause of another event or variable. With correlation established, one needs to study the strength of the relationship through a regression analysis before concluding on how one variable affects another variable.
What is the domain and range for
ƒ(x)= -√25-x^2
First rearrange and solve for sqrt of 25(which is 5)
ƒ(x)= -x^2-5
range: y\(\le\)5
domain: x x=can be anything because all values are defined
Find the solution set for this equation -n 2 + 8n=0
Answer:
0 and 8.
Step-by-step explanation:
n^2+8n=0
n(-n+8)=0
-n=-8 or n=8 and n=0.
Please help me ASAP please olease
Answer:
x=100 degree's
Step-by-step explanation:
Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.
Answer:
pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
Pls help it’s due In 30 mins
5 2/3 divided by 2 1/8
Answer:
\(2 \frac{2}{3} \)
One pizza will feed 4 people. How many pizzas are needed for 36 people?
pizzas
Answer:
9 Pizzas
Step-by-step explanation:
I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
In ΔEFG, f = 88 cm, g = 18 cm and ∠E=68°. Find the area of ΔEFG, to the nearest square centimeter.
The area of ΔEFG is approximately 916 square centimeters.
Given that,
In ΔEFG
f = 88 cm ,
g = 18 cm
∠E=68°
To find the area of ΔEFG,
Use the formula:
Area = (1/2)xfxgxsin(∠E)
First, we need to convert the angle from degrees to radians.
We can do this by multiplying by π/180.
∠E = 68° * π/180 ≈ 1.19 radians
Next, we can plug in the values we have:
Area = (1/2)x88x18xsin(1.19)
≈ 915.56 cm²
Rounding this to the nearest square centimeter,
we get,
Area ≈ 916 cm²
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February 3, 202
125+129
Answer:
254
:D :D :D :D
Help pleaseeeeeeeeeee
2 units left 5 units up HOPE IT HELPS
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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some people wont eat this part of the pizza,but the blank is also the name of the outermost layer of the rock that makes up earth. can you fill in the blank?
Answer:
How about crust
Step-by-step explanation: