Answer:
c
Step-by-step explanation:
Answer:
c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.
Step-by-step explanation:
Please help with this. With either question is okay :)
Answer:
slope: -3; y-intercept: (0,15)
Step-by-step explanation:
The slope is -3, simply move 3x to the right side for slope intercept form, the y-intercept is where x =0 so set x equalt to zero. 3(0)+y=15, y=15
Becky just moved into a new apartment. She bought a toaster oven that was originally priced at $89. She bought it on sale at a 20% discount. What is the sale price that she paid for the oven?
Answer:
Step-by-step explanation:
89(.2) = 17.8
89-17.8 = your sales price ( $71.20 )
What is the answer I need it quick 3/4 + 3/7 A 1 5/28. B 1 7/28 C 6/28 D 6/11
Answer:
33/28
Step-by-step explanation:
(3/4) + (3/7) = 33/28
~1,18
A sofa regularly sells for $550. The sale price is $456.50. Find the percent decrease of the sale price from the regular price.
Answer:
The percent decrease of the sale price of the sofa from the regular price is 17%.
Step-by-step explanation:
Sure! Here are the steps to find the percent decrease:
Find the difference between the regular price and the sale price: $550 - $456.50 = $93.50Divide the difference by the regular price: $93.50 ÷ $550 = 0.17Multiply by 100 to convert to a percentage: 0.17 × 100 = 17%The percent decrease of the sale price from the regular price is 17%.
Answer:
17% is the percen
Find z such that 13% of the area under the standard normal curve
lies to the right of z. (Ro s USE SALT Need Help?
The area to the left of the z-value, but we want the area to the right of z. Hence, z = -1.04 rounded to two decimal places.The answer is: z = -1.04
To find the value of z such that 13% of the area under the standard normal curve lies to the right of z, we can use a standard normal distribution table. Here are the steps:Step 1: Draw a standard normal curve and shade the area to the right of z, which represents 13% of the area under the curve.Step 2: Look up the value in the standard normal distribution table that corresponds to the area of 0.13. This value is 1.04 rounded to two decimal places.Step 3: Subtract the value obtained in step 2 from 0 to get the z-value. This is because the standard normal table gives the area to the left of the z-value, but we want the area to the right of z. Hence, z = -1.04 rounded to two decimal places.The answer is: z = -1.04
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In a scale drawing, a model of a dog house is 3 cm long by 5 cm tall. The dog house is actually 4 feet tall. What is the actual length of
the dog house?
Answer:
3.75 feetStep-by-step explanation:
If 5 cm on the model = 4 feet in real
Then, what does 1 cm on the model = in real?
5/4=1.25
So, 1 cm on the model = 1.25 ft
Now, what does 3cm long in the model = to in real?
1.25x3=3.75
So hence, the length of the Dog house is actually 3.75 feet.
Thanks!
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Nancy and Bill collect coins. Nancy has x coins. Bill has 2 coins fewer than four times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
An expression for the total number of coins Nancy and Bill have is
5x - 2 coins.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Nancy has x coins. Bill has 2 coins fewer than four times the number of coins Nancy has.
The numerical form of the statement will be for the total number of coins they both have is,
= x + (4x - 2).
= 5x - 2 coins.
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adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?
(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31. Therefore, there are 31 different ways this can happen
To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:
1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).
Therefore, the range of possible values for "x" is 1 to 5.
2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.
To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.
Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.
Therefore, there are 31 different ways this can happen
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b. in general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; p-value method; critical value method?
The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
What is the confidence interval?
A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.
In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.
On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.
To summarize:
- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.
- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.
- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.
Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.
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You randomly select one card from a standard deck of 52 playing cards. Event B is selecting a five. Is the event a simple event
Therefore, Selecting a five from a deck of 52 playing cards is not a simple event. This is due to the multiple outcomes (one for each suit).
whether selecting a five from a standard deck of 52 playing cards is a simple event, and you would like the main answer in the last two lines.
To determine if this event is a simple event, we must first define a simple event. A simple event is an event that consists of only one outcome or one possible result. In a standard deck of 52 playing cards, there are 4 fives (one in each suit: hearts, diamonds, clubs, and spades).
Since there are 4 fives in the deck, selecting a five is not considered a simple event because there are multiple outcomes (one for each suit).
Therefore, Selecting a five from a deck of 52 playing cards is not a simple event. This is due to the multiple outcomes (one for each suit).
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use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 4x2 4y2.
To evaluate the integral x^2 dV over the given solid E, we can use cylindrical coordinates. The solid E is bounded by the cylinder x^2 + y^2 = 4, the plane z = 0, and the cone z^2 = 4x^2 + 4y^2. By expressing the integral in cylindrical coordinates, we can calculate the desired value.
In cylindrical coordinates, we can express x, y, and z in terms of the variables ρ, φ, and z. The equation of the cylinder x^2 + y^2 = 4 becomes ρ^2 = 4. The equation of the plane z = 0 remains unchanged, and the equation of the cone z^2 = 4x^2 + 4y^2 can be rewritten as z^2 = 4ρ^2.
To evaluate the integral x^2 dV over the solid E, we need to determine the limits of integration. Since the solid lies within the cylinder x^2 + y^2 = 4, we have ρ ranging from 0 to 2 (since ρ^2 = 4). The angle φ can vary from 0 to 2π, covering the entire circular cross-section of the cylinder. Lastly, z ranges from 0 to the value given by the equation z^2 = 4ρ^2.
Using these limits of integration, we can express the integral x^2 dV in cylindrical coordinates as ∫∫∫ ρ^3 cos^2(φ) dz dρ dφ over the region E. By performing the integration, we can calculate the desired value.
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Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
Lainey bought a set of 20 markers for $6
What is the cost of 111 marker?
Answer:
370
Step-by-step explanation:
First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333
Then find amount for all pencils
3.333 by 111 is 369.963
Then we round up to have a realistic amount of pencils to 370
There are 42.39 cubic inches of blue sand and 28.26 cubic inches of red sand in the cylindrical container. How many cubic inches of white sand are in the container?
The amount of white sand in the container is 42.39 in³.
What is the amount of white sand in the container?A cylinder is a three-dimensional object. It is a prism with a circular base.
The first step is to determine the volume of the cylinder
Volume of a cylinder = πr²h
Where:
π = 3.14h = height r = radius1.5² x 3.14 x 16 = 113.04 in³
Now determine total amount of blue and red sand in the container
Amount of blue and red sand = 42.39 + 28.26 = 70.65 in³
Amount of white sand in the container = 113.04 in³ - 70.65 in³ = 42.39 in³
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Dan and Lucy opened a saving account. Dan started with 770 and took out 30 a month. Lucy started with 935 and took out 45 a month. How many months would it be until they have the same amount
Answer:
11 months
Step-by-step explanation:
added in picture
Answer:a los 12 meses
Step-by-step explanation:
es un tipo de cuadro y en cada uno se le resta 30/45 por mes
770- 740- 710- 680- 650- 620- 590- 560- 530- 500- 470- 440935- 890- 845- 800- 755- 710- 655- 620- 575- 530- 485- 440How do you find the y-intercept with two ordered pairs?
Equation employing the slope-intercept method for two points
The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.
The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)
Steps to find the y-intercept with two ordered pairs?
Determine the slope using two points.
\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)
As an illustration, two points are (3, 5) and (6, 11)
Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)
In the slope-intercept form of the equation, substitute the slope(m).
\(\\y = mx+b \\y = 2x+b\)
Either point may be substituted in the equation. You may either use (3,5) or (6,11).
\(\\y = 2x+b \\5 = 2(3)+b\)
Find the answer to the equation for b, the line's y-intercept.
\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)
Substitute b, into the equation.
\(\\y = 2x + b \\y = 2x - 1\)
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A model railroad station was built using a scale of 1:64 (1 inch to 64 inches). If the height of the actual railroad depot was 30 feet, what was the height of the depot in the model?
A. about 0.5 inches
B. about 1.5 inches
C. about 2 inches
D. about 5.6 inches
Hi! I need help with asymptotes and just how to put them on a table? Here’s the problem that I’m stuck on. May someone PLEASE help me as well as give an explanation on how you got the answer? PLEASE IM BEGGING.
Answer:
x. y
-1---2^-1=1/2
0---0
1----2
2----2*2=4
Step-by-step explanation:
x. y
-1---2^-1=1/2
0---0
1----2
2----2*2=4
Solve for x.
one seventh times the absolute value of the quantity x minus 3 end quantity minus 2 equals 9
x = 74 and x = 80
x = −46 and x = 52
x = −52 and x = 46
x = −74 and x = 80
The solutions to the given absolute value equation are:
x = −74 and x = 80
How to solve the given equation for x?
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
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It is sufficient to test an analogy by asking what are its relevant similarities.
True or False
The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.
Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.
Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.
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this is pretty easy im just lazy and i dont want to do it<3
Answer:
I can't read is so blurry -0_0-
Step-by-step explanation:
Fill in the Blank, I just need help with the last blank
Given:
A circle with center O, LN and MP are two diameters.
To find:
The minor arcs of the given circle.
Solution:
If any arc of a circle is less than its semicircle, then the arc is called is minor arc.
Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.
If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.
So, arc LM, arc MN, arc PL and arc NP are minor arcs.
Therefore, the correct option is A.
Angel and Nina are collecting money for the school fundraiser. Their goal is to raise $75 each. Angel has collected $50 and Nina has collected $20 for the fundraiser. How much more money does Nina need to collect to reach her goal?
let s 5 {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s. must there be two integers whose sum is 15? why?
The given set have two integers whose sum is 15 because if we selcet the element from the given set then there sum is equal to 15.
In the given question, let s = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s.
We have to check there be two integers whose sum is 15.
As we know that,
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The letter Z or the chalkboard Z is frequently used to represent the set of integers in mathematical terminology.
There are total 10 elements.
We have to choose two element from the given set which sum is equal to 15.
If we choose 3 and 12 then there sum is 15.
Similarly, if select (5,10), (6,9), (7,8) the sum of all these selection is 15.
So the given set have two integers whose sum is 15.
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Find the y-intercept of each line defined below and compare their values.
Equation of Line A:
y = -3x+3
Graph of Line B:
The y-intercept of Line A is
Therefore the y-intercept of Line A is
and the y-intercept of Line B is
the y-intercept of
The y-intercept of line A is 3, and the y-intercept of line B is 4.
How to find the y-intercepts of the lines?For any function y = f(x), we define the y-intercept as the value that y takes when x = 0.
For the first linear equation we have:
y = -3x + 3
Evaluating in x = 0 we will get:
y = -3*0 + 3
y = 3
The y-intercept is 3.
For the other function we can see that the line intercepts the y-axis at y = 4, so that is the y-intercept.
Then the y-intercept of Line A is 3 and the y-intercept of Line B is the y-intercept of 4.
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Mandy drives 60 miles with a friend. It takes her an hour and a half to do so.
At this rate, how many miles will she drive in 5 hours?
Answer:
12
Step-by-step explanation: 5 dived by 60 equals 12 miles she will drive in 5 hours.
Answer:
200
Step-by-step explanation:
i did super speedy math in my head i said 60/3=20*2=40*5=200
Reduce the third order ordinary differential equation y-y"-4y +4y=0 in the companion system of linear equations and hence solve Completely. [20 marks]
To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:
Let u = y,
v = y',
w = y".
Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:
du/dx = y' = v,
dv/dx = y" = w,
dw/dx = y"'.
Now we can rewrite the given differential equation in terms of u, v, and w:
u - w - 4u + 4u = 0.
Simplifying the equation, we get:
-3u - w = 0.
This equation can be expressed as a system of first-order linear differential equations as follows:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
Now we have a companion system of linear equations:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.
The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.
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A tunnel has a parabolic cross-section. It is 24m wide at the base. At a point 6m above the base, the width is 18m. Find the maximum height of the tunnel
Answer:
13.71 m
Step-by-step explanation:
Draw the tunnel so the width marks the zeroes at (-12,0) and (12,0)
then y = a ( x+12)(x-12) is the equation..
..to calculate 'a' sub in the point 9, 6 (where the width is 18)
6 = a ( (9+12)(9-12) shows a = -2/21
y = -2/21 (x+12)(x-12) Max is when x = 0
-2/21 ( 12)(-12) = 288/21 = 13.71 m
A barge must carry steel pieces for a construction project such that the total weight of the steel pieces is under 1,500,000 kilograms (kg). Each steel piece is either a beam, which weighs 363kg or a connector plate, which weights 6kg. There must be at least 2 connector plates for each beam. If b is the number of beams and c is the number of connector plates, which of the following systems of inequalities must be true?
A. 363 +6c < 1,500,000
b <= 2c
B. 363 +6c >= 1,500,000
2b <= c
C. 363b + 6c >= 1,500,000
b >= 2c
D. 363b + 6c >= 1,500,000
2b >= c
The systems of inequalities that must be true is \(363b + 6c > = 1,500,000.\)The correct is D
The system of inequalities that must be true if b is the number of beams and c is the number of connector plates is \($\mathbf{D. 363b + 6c \geq 1,500,000}$ and $\mathbf{2b \geq c}$.\)Explanation:Let's find out the weight of one beam and one connector plate:
Weight of one beam = 363 kgWeight of one connector plate = 6 kgLet's represent the number of beams by b and the number of connector plates by c.Each beam weighs 363 kg, and each connector plate weighs 6 kg.There must be at least 2 connector plates for each beam.
Using the above information, we can represent the total weight of the steel pieces by:Total weight of steel pieces = (Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates)Inequality:
(Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates) < 1,500,000 kg (Given)Substituting the values:Number of beams = bWeight of each beam = 363 kgNumber of connector plates = cWeight of each connector plate = 6 kgThen, we get:\($$363b + 6c < 1,500,000$$\)
Since there must be at least 2 connector plates for each beam, we can write another inequality as:\($$c \geq 2b$$\) Simplifying, we get:\($$2b \leq c$$\) Combining these two inequalities, we get the required system of inequalities as:\($$\boxed{363b + 6c \geq 1,500,000 \text{ and } 2b \geq c}$$\) Hence, option D is the correct answer.
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suppose that 1,000 babies from healthy baby nurseries were randomly surveyed. find the probability that exactly one baby was born deaf
The probability of randomly selecting one deaf baby out of 1,000 healthy babies is around 0.2707 or 27.07%.
The probability that exactly one baby out of the 1,000 surveyed was born deaf depends on the prevalence of deafness in the population. If the prevalence of deafness is low, say 0.1%, then the probability can be calculated using the binomial distribution formula as:
\(P(X=1) = (1000 choose 1) * (0.001)^1 * (0.999)^{999} = 0.2707\)
This means that the probability of randomly selecting one deaf baby out of 1,000 healthy babies is around 0.2707 or 27.07%.
The binomial distribution is used when we have a fixed number of trials, each with two possible outcomes, and the trials are independent and identically distributed. In this case, the number of trials is 1,000 and the two possible outcomes are being deaf or not being deaf. The probability of being deaf is the prevalence of deafness in the population, and the probability of not being deaf is 1 minus the prevalence. The formula for the binomial distribution is used to calculate the probability of getting exactly one success (one deaf baby) in 1,000 trials, assuming a certain prevalence of deafness.
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