Answers
Answer:
1a. \(\frac{3}{4}\)
1b. \(\frac{7}{10}\)
1c. \(\frac{3}{10}\)
1d. \(\frac{1}{3}\)
2a. \(\frac{3}{4}\)
2b. \(\frac{1}{5}\)
2c. \(\frac{3}{10}\)
2d. \(\frac{9}{10}\)
2e. \(\frac{1}{20}\)
3. \(\frac{1}{8}\)
Related Questions
PLs help me I will give brainliest please dont answer if you don’t know
Answers
Answer:
Interest earned will be $1,118.00
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 6500 x .043 x 4
For what value of Θ is cotΘ undefined?
0°
180°
270°
Answers
The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.
Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.
The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.
Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.
For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.
That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.
Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.
To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.
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Please help!! It’s engenuity.
Answers
9514 1404 393
Answer:
(c) 1/(36·a^4·b^10)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
a^-1 = 1/a
__
\(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)
Find the number of elements in the sample space whose outcomes are all possible sequences of three rolls of the die. (a) Find the probability of the event that exactly one of the colors that appears face up is red. (b) Find the probability of the event that at least one of the colors that appears face up is red.
Answers
Answer:
Sample space = 216 elements
a) P = 25/72
b) P = 91/216
Step-by-step explanation:
If each die has six possible values, the number of possible outcomes for three dice is 6^3 = 216 possible outcomes
a)
If we want exactly one die to be red, we have that one die is red (probability of 1/6) and the other two are not red (probability of 5/6), and the red die can be any of the three dice (combination of 3 choose 1), so the probability is:
P = C(3,1) * (1/6) * (5/6) * (5/6) = 3 * 25/216 = 75/216 = 25/72
b)
To find the probability of at least one die is red, we can find the probability of all dice not being red, and then find the complement of this probability (1 - P).
The probability of one die not being red is 5/6, so we have:
probability of all dice not being red = (5/6)^3 = 125/216
probability of at least one die being red = 1 - 125/216 = 91/216
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY.........Please help
Answers
\(0.0008 = 8 \times 10 {}^{ - 4} \\ \\ \frac{8 \times 10 {}^{ - 4} }{2 \times 10 {}^{ - 6} } \\ \\ 4 \times 10 {}^{6 - 4} \\ \\ 4\times 10^2\)
A music teacher sells piano lesson packages.
Piano Lesson Packages
Total Cost
Number of Lessons
$90
10
$160
20
$80
10
$120
20
Which package has the lowest ratio of cost to number of lessons?
Answers
Answer:
$120 for 20 lessons
Step-by-step explanation:
has the lowest ratio
Answer:
The Answer is 120 for the cheapest piano lessons
The diameter of a circular cd is 120 mm which of the following is closest to the circumference of a cd in millimeters
Answers
Answer:
120 pi mm or 376.99 mm
Step-by-step explanation:
circumference is 2r pi or pi d. So you know the diameter is 120. You can plug 120 into the equation and get 120 pi which can equal to 376.99.
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 150 and 156 miles in a day. Round your answer to four decimal places.
Answers
The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.
How to calculate the probability distribution?The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,
Z = (X - μ)/σ
Where X - random variable; μ - mean; σ - standard deviation;
Then the probability is calculated by P(Z < x), using the values from the distribution table.
Calculation:The given data has the mean μ = 120 and the standard deviation σ = 18
Z- score for X =150:
Z = (150 - 120)/18
= 1.67
Z - score for X = 156:
Z = (156 - 120)/18
= 2
So, the probability distribution over these scores is
P(150 < X < 156) = P(1.67 < Z < 2)
⇒ P(Z < 2) - P(Z < 1.67)
From the standard distribution table,
P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254
On substituting,
P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471
Rounding off to four decimal places,
P(150 < X < 156) = 0.0247
Thus, the required probability is 0.0247.
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Please Help Really stuck
Answers
Answer:
4 2/3 mph
Step-by-step explanation:
A boat travels 15 miles upstream and 19 miles downstream.
If the boat travels 8 mph in still water, find the speed of the current if the total trip takes 6 hours.
Let c = the speed of the current
then
(8+c) = effective speed downstream
and
(8-c) = effective speed upstream
Write a time equation: time = dist/speed
Upstream time + downstream time = 6 hrs
\(\frac{15}{8-c} +\frac{19}{8+c}=6\)
120+15c+152-19c=384-6c²
6c²-4c-112=0
c=4 2/3
Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
Answers
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Answers
| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |
By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
Answers
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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Express in polar form 6√3 + 6i
Answers
Answer:
Step-by-step explanation:
To express 6√3 + 6i in polar form, we first need to find the magnitude and argument of the complex number.
The magnitude (or modulus) of the complex number is given by the formula:
|z| = √(a^2 + b^2)
where a and b are the real and imaginary parts of the complex number, respectively.
In this case, a = 6√3 and b = 6, so:
|6√3 + 6i| = √((6√3)^2 + 6^2) = √(108 + 36) = √144 = 12
The argument (or angle) of the complex number is given by the formula:
arg(z) = tan^-1(b/a)
In this case, arg(z) = tan^-1(6/6√3) = tan^-1(1/√3) = π/6
Therefore, the polar form of 6√3 + 6i is:
12(cos(π/6) + i sin(π/6))
or
12e^(iπ/6)
What is the equation of the line in slope-intercept form?
Answers
Answer:
y = mx + b
Step-by-step explanation:
a) Sundar bought two calculators for Rs. 1000. He sold one of them at a profit of 10% and other at a loss of 10%. If the selling prices for both calculators are the same, find the cost prices of each calculator. Also find the percentage loss or gain on the whole.
Answers
Answer:
600
400
Step-by-step explanation:
1000 : 2 = 500
500 : 100 = 5 × 10 = 100
500 + 100 = 600
500 - 100 = 400
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall?
80 feet
160 feet
400 feet
6,400 feet
Answers
We can use the given formula to find the distance fallen by the bungee jumper:
t = √(d / 16)
We are told that the time t is 5 seconds, so we can substitute that into the formula:
5 = √(d / 16)
Squaring both sides, we get:
25 = d / 16
Multiplying both sides by 16, we get:
400 = d
So the answer is that the bungee jumper falls d = 400 feet.
Therefore, the correct answer is 400 feet.
#1. Which situation represents an example of a non-proportional Equation? A. A farmer sells fresh peaches for $0.71 a pound. B. Michael's Pizza charges a $5 fee for the delivery of each pizza. C. Emiliano's cell phone plan charges $40 per gigabyte of data used. D. The temperature in the morning was 49 F, and it increased by 3 F every hour.
Answers
When two variables' ratios are equivalent, proportional relationships between them emerge.The right response is option c.A $50 membership fee plus a $20 monthly cost is required to use a gym.
What is a proportional relationship?Because b, the w intercept, is zero in the linear exhaustion of a line, y=mx+b, a proportionate relationship would be something like y=mx+0.IHaving said that, the equation for a line is as follows: so that y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept).Therefore, this is a y=0.10x for b) (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin).(YET AGAIN, THIS IS NOT THE ANSWER)c) y=20x+50 (x is the number of months, and depending on how many months you go to the gym, the amount of money you spend there is determined). Additionally, you must include the $50 cost of the gym membership.In this instance, the b value or y-intercept would be 50 because 50 is being added to the 20x.To learn more about proportional relationship refer
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Does anyone know the answers to the graded activities on plato?
Answers
Answer:
Explanation
There are some activities in Courseware content that report scores and some that just report mastery and/or completion status.
Resolution
Dynamic vs. Non-dynamic mastery tests
Mastery tests give mastery status if the score is 80% or higher, but not all tests report a score. There are two types of mastery tests in Courseware content:
Non-dynamic tests: Those that do report a score, such as those in the Writing Process and Practice titles, in the Grammar and Mechanics modules, give the same number of questions each time; these are non-dynamic tests. For example, Splitting Fused Run-ons: Mastery Test presents ten questions. Even if the Learner answers the first three questions incorrectly and is, at that point, no longer able to answer eight correctly to achieve mastery, the remaining seven questions are presented.
Dynamic tests: Mastery tests from some content titles, such as Essential Reading Skills, however, are dynamic, which means they adapt to the Learner's responses. These tests do not always give the maximum number of questions; instead, they will end sooner if 80% is either achieved or no longer achievable. These tests show mastery if 80% or better was achieved, but do not show a score. For example, in Essential Reading Skills, Pronouns: Mastery Test, the maximum number of questions presented is five; mastery requires four questions are answered correctly. The test will end early if the student answers the first four correctly or two incorrectly out of the first four. Mastery is still based on achieving 80% or better, but the score is not fully determined, so no score is reported, by design.
Step-by-step explanation:
On 1 April mazibane has R540, 00 in his credit card account. He buys a lounge suit for R8300, 00 on credit. There is no interest on the debit amount for the first month. Thereafter the interest is 16% per year calculated daily but compounded monthly. On 1 June Mazibane pays R5000 into the account.
How much must Mazibane pay into the account on 30 June to have no debt in the account
Answers
According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.
How to calculate the amount Mazubane must pay on 30 June?To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.
Initial Debt:
On 1 April, Mazibane had a credit card debt of R8300.Interest Calculation:
The interest on the debt is 16% per year, calculated daily but compounded monthly. From 1 April to 1 June, a period of two months, there is no interest charged on the debt.Previous Payment:
On 1 June, Mazibane paid R5000 into the account.To determine the remaining debt on 1 June, we subtract the payment from the initial debt:
Remaining debt on 1 June = R8300 - R5000 = R3300.From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.
To calculate the interest for one month, we use the formula:
Interest = Principal x (1 + (rate/100))^(time/12) - Principal,where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).
Interest for one month = R3300 x (1 + (16/100)/12)^(1/12) - R3300.To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:
Total debt on 30 June = R3300 + Interest for one month.To have no debt on 30 June, Mazibane must pay the total debt amount:
Mazibane must pay R3300 + Interest for one month on 30 June.Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.
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he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answers
A baseball bat cost $28. There is a 25% discount. How much will you pay after the discount?
Answers
Answer:
$21
Step-by-step explanation:
1/4 of 28=7
so 28-7=$21
Answer:
7 dollars
Step-by-step explanation
there are 70 students in the school band. 40% of them are sixth graders, 20 % are seventh graders, and the rest are eight graders. How many band members are sixth graders? How many band members are Seventh graders? What percentage of the band members are eighth graders?
Answers
Answer:
28 are 6th
14 and 7th
40% are 8th
Step-by-step explanation:
Answer:
28= 6th grader
14= 7th grader
28= 8th grader
40% were 8th graders
Step-by-step explanation:
28= 6th grader
14= 7th grader
28= 8th grader
40% were 8th graders
Ginny's account after withdrawal?
Answers
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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Abdullah is kicking a soccer ball into the air. The path of the soccer ball can be modeled by a quadratic equation where the point (6, 12) represents the vertex and the x-axis represents the ground. Which equation could represent the location of the soccer ball when it hits the ground? A 0=−(x−6)2+12 B 0=−(x+6)2−12 C 0=−(x−6)(x−12) D 0=−(x+6)(x+12)
Answers
9514 1404 393
Answer:
A. 0 = −(x−6)^2+12
Step-by-step explanation:
The vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . for vertex (h, k) and scale factor 'a'
When the given vertex (h, k) = (6, 12) is used, we find the form of the equation to be ...
y = a(x -6)² +12
The ball will be on the ground when y = 0. Here, the vertical scale factor 'a' is -1, so the equation representing the ball being on the ground is ...
0 = -(x -6)² +12 . . . . . . matches choice A
Point Pis located at (-9,-5) and point Q is located at (-9, -8). What are the coordinates
of the midpoint?
Answers
Answer:
(-9,-6.5)
Step-by-step explanation:
mid point formula
A publishing company conducted a survey asking readers whether they use e readers. Of the 3000 readers surveyed, 1954 said they read books on e reader. The approximate sample proportion is? Which means that? %of the readers surveyed don’t use e readers
Answers
Approximately 34.87% of the readers surveyed don't use e-readers.
To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):
Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed
Approximate sample proportion = 1954 / 3000 ≈ 0.6513
To express this as a percentage, we multiply the sample proportion by 100:
Approximate sample proportion as a percentage = 0.6513 × 100
= 65.13%
Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.
This means that approximately 65.13% of the readers surveyed use e-readers.
To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:
Percentage of readers who don't use e-readers = 100% - 65.13%
= 34.87%
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Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
Answers
The algebraic expression for Desmond's height is x + 5.
write an algebraic expression for Desmond's height.If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.
So the algebraic expression for Desmond's height is x + 5.
What are algebraic expression?Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).
They can contain one or more variables and can be evaluated for different values of the variables.
For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.
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Find the length of segment AB. (Find the distance between the two points). A(-3,5) B(0,1)
Answers
Answer:
5
Step-by-step explanation:
The formula is \(\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }\)
\(x_{1}\)=-3 \(x_{2}\)=0
\(y_{1}\)=5 \(y_{2}\)=1
\(x_{1}- x_{2}\)=-3
\(y_{1}- y_{2}=4\)
Therefore: \(\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5\)
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answers
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
Subtract 4x + 6 from 7 + 2x?
Answers
Answer:
1-2x
Step-by-step explanation:
\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)