Answer:
x=20
Step-by-step explanation:
11/10=121/5x+10
11(5x+10)=1210
5x+10=110
5x=100
x=20
Answer:
x= 20
Step-by-step explanation:
We can use ratios to solve
11 10
---------- = ---------------
11+121 10 + 5x+10
Simplify
11 10
---------- = ---------------
132 5x+20
Using cross products
11 * (5x+20) = 10 *132
Divide each side by 11
11/11 * (5x+20) = 10 *132/11
5x+20 = 10*12
5x+20 = 120
Subtract 20 from each side
5x = 100
Divide by 5
5x/5 =100/5
x = 20
Whats the answer to this?
The required image of points (-4, 6) is (-6, -4) as per the given condition,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the image of the point (5, -1) is mapped as, (1, 5),
Which implies a function that (x, y) mapped as (-y , x)
So for (-4, 6) mapped as (-6, -4)
Thus, the required image of points (-4, 6) is (-6, -4) as per the given condition,
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Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} -8x+4y=24 \\\\ -7x+7y=28 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
−8x+4y=24
−7x+7y=28
x=, equals
y=, equals
Answer:Equation (1):
-8x + 4y = 24
Equation (2):
-7x + 7y = 28
Simplify the equation:
Equation 1 can be simplify by 4:
-2x + y = 6
Equation 2 can be simplify by 7:
-x + y = 4
Add x to both sides of the equation 2:
y = x + 4
Substitute equation 2 into 1:
x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.
Substitute - 2 for x in equation 2:
y = - 2 + 4
y = 2.
Therefore, (x, y) = (- 2, 2)
Which expression uses the associative property to make it easier to evaluate 14(1/7 2/5)?
A. 14(2/5.1/7)
B. 7(1/14.2/5)
C. (14.5/2)1/7
D. (14.1/7)2/5
Answer:
B
Step-by-step explanation:
Answer:
A. 14(2/5.1/7)
Step-by-step explanation:
Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?
Graph shows 2 triangles plotted on a coordinate plane. First triangle is at A(minus 3, 0), B(minus 2, 3), C(minus 1, 1). Second triangle is at A prime (0, minus 3), B prime (3, minus 2), C prime (1, minus 1).
A.
reflection across the line y = x
B.
reflection across the x-axis followed by a reflection across the y-axis
C.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
D.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
E.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
The geometric transformation which will not produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis
In this question, we have been given a triangle ABC and the transformed triangle A'B'C'
Also, in the graph the first triangle is at A(-3, 0), B(-2, 3), C(- 1, 1) and the Second triangle is at A prime (0, -3), B prime (3, -2), C prime (1, -1).
Consider the graph as shown below.
From the coordinates of vertex of triangle ABC and triangle A'B'C' we can observe that,
A(-3, 0) -> A'(0, -3)
B(-2, 3) -> B'(3, -2)
C(-1, 1) -> C'(1, -1)
For each vertex,
x coordinate of triangle ABC = y coordinate of triangle A'B'C'
and y coordinate of triangle ABC = x coordinate of triangle A'B'C'
This means, the geometric transformation of triangle ABC is reflection across the line y = x
But the reflection across the x-axis followed by a reflection across the y-axis.
Therefore, the geometric transformation which will not produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis
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Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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HELP!! This is due tomorrow! This is Algebra 2!
6i^12+7i^22
================================================
Work Shown:
Recall that the imaginary number i has the definition of \(i = \sqrt{-1}\)
List out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = -ii^4 = 1I'm skipping steps when I listed out those terms, so let me know if you need to see them.
The process repeats every 4 items. This means we'll divide the exponent by 4 to look at the remainder.
Let's do that for the first exponent
12/4 = 3 remainder 0
The remainder 0 tells us that i^12 = i^0 = 1
Also,
22/4 = 5 remainder 2
The remainder 2 means i^22 = i^2 = -1
-------------------
In short: i^12 = 1 and i^22 = -1
which means 6i^12 + 7i^22 = 6(1) + 7(-1) = -1
Can someone help me please
Blank 1: 24
Blank 2: 4
Blank 3: 9
The property tax on a house with an assessed value of $624,000 is $7280. Determine the property tax on a house with an assessed value of $762,000, assuming the same tax rate.
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
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PLEASE HELP I AM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100 PTS!!!
The sum and product of two linear functions are shown.
Which statements can be used to describe the original functions f(x) and g(x)? Select two options.
A. When added, the sum of the y-intercepts must be 1.
B. When multiplied, the product of the y-intercepts must be –15.
C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.
E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.
Answer:
A and DStep-by-step explanation:
Let the functions be
f(x)= ax + bg(x) = cx + dTheir sum
j(x) = (a+c)x + b+dTheir product
k(x)= (ax + b)(cx + d)The answer optionsA. When added, the sum of the y-intercepts must be 1.
Correct. We see point (0,1) of j(x) on the graph. b+d = 1B. When multiplied, the product of the y-intercepts must be –15.
Incorrect. -15 is the vertex of k(x). The vertex of ax^2 + bx + c is -b/2a. So it has no relation to constants of the functions f(x) and g(x)C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
Incorrect. It refers to the value of ac. If one of a or c has opposite sign it makes k(x) to open down but it is not as per graph.D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.
Correct. As per above statement, both linear equations could be positive as their sum and product is positive from the graphs of j(x) and k(x)E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.
Incorrect. It should result in decreasing function of j(x) with slope of -4 but it is increasing as per graph.Convert .805 liters to millimeter s
In a class of 80 Students, 30 offered mathematics, 20 offered Accountancy and 40 offered Economics. Those who offered both mathematics and accountancy are more than those who offered both Accountancy and Economics by 2. No student offered all the subjects and none offered both mathematics and Economics. Find the number of students who offered Accountancy only?
The number of students who offered Accountancy only is 10.
Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.
From the given information:
M = 30 (Number of students who offered Mathematics)
A = 20 (Number of students who offered Accountancy)
E = 40 (Number of students who offered Economics)
We are also given the following conditions:
M ∩ A > A ∩ E by 2
M ∩ E = 0
We know that the total number of students is 80, so:
M + A + E = 80
Now, let's solve for the number of students who offered Accountancy only.
We can start by substituting the given values into the equation:
30 + 20 + 40 = 80
Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).
Since none offered both Mathematics and Economics, we can subtract M from A:
A - M = A ∩ E
20 - 30 = A ∩ E
-10 = A ∩ E
Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.
Now, let's use the first condition: M ∩ A > A ∩ E by 2.
Substituting the values, we have:
M ∩ A - A ∩ E = 2
M ∩ A - 0 = 2
M ∩ A = 2
Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:
30 + A + 40 = 80
A + 70 = 80
A = 10
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Dr. Dormeur studies sleep and sleep disorders. She is curious as to whether technology exposure before bedtime causes people to fall asleep more slowly. She recruits a sample of 60 middle-aged women from a local church who reported no history of sleep problems. She creates three conditions, and randomly assigns participants to one condition. All participants come to the sleep lab for two nights in a row, the first night with no treatment, the second night with treatment. In the first condition (A), participants were asked to play an online game (Candy Crush) on an iPad for 10 minutes prior to going to bed. In the second condition (B), participants were asked to read an article using an iPad that discussed tricks and tips for improving one’s score on Candy Crush (which took about 10 minutes). In the third condition (C), participants were asked to read a newspaper article about the inventor of Candy Crush (which took about 10 minutes). With the use of an electroencephalograph (EEG), the researcher measures how long it takes participants to fall asleep. Which of the following designs is Dr. Dormeur using?
a. one-way between-subjects ANOVA.b. chi-square test.c. simple linear regression.d. repeated-measures t-test.
Answer:
Dr Domeur is using repeated measures t-test
Step-by-step explanation:
Dr Dormeur is using the repeated measures t test also known as within-subjects design because the design is between participants. Repeated Measures assesses the change in a continuous outcome across time or within-subject.
Dr Domeur makes measurements using only one group of subjects, and the tests on each subject can be repeated more than once after different treatments. From the question, the researcher Dr Domeur uses the same subjects with every condition of the research and the control. Repeated measures are collected in a longitudinal study that assesses change over time.
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
0.5 + 1/4 - 0.25 - 3/4 =
Answer: −1/4
I used a calculator so I'm 90% sure this is the awnser.
Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
R=14 pie=3.14 round to the nearest hundreths
Answer:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Step-by-step explanation:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Answer:
6
Step-by-step explanation:
The way you wrote it, it is already rounded.....
The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".
pi--rounded off in decreasing precision:
3.14159
3.1416
3.142
3.14
3.1
3
Watch out for a trap in rounding:
Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.
The position of an object in circular motion is modeled by the given parametric equations. Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of the motion (clockwise or counterclockwise), and the time t that it takes to complete one revolution around the circle.
x = 4 cos 3t, y = 4 sin 3t
How do you get to that solution?
Answer:
4 units ; counter clockwise ; 2.09 units
Step-by-step explanation:
Given the following :
x = 4 cos 3t
y = 4 sin 3t
The Radius (r) could be obtained using Pythagoras:
R = √(x^2 + y^2)
R = √[(4cos3t)^2 + (4sin3t)^2]
R = √[16cos^(2)3t + 16sin^(2)3t]
Recall : cos^2θ + sin^2θ = 1
Therefore, cos^(2)3t + sin^(2)3t= 1
Where, 3t stands for θ
R = √[16cos^(2)3t + 16sin^(2)3t]
Factorizing:
R = √16[cos^(2)3t + sin^(2)3t)]
R = √16[1]
R = √16
R = 4 units
Position at time t = 0
x = 4 cos 3(0)
x = 4 cos 0
x = 4 * 1 = 4 units
y = 4 sin 3t
y = 4 sin 3(0)
y = 4 * sin 0
y = 0
Position at t = 0;
(x, y) = (4, 0) = counterclockwise
Time taken to complete 1 complete revolution:
2π/3 = 6.2831853 /3 = 2.0943951
= 2.09
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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A basketball roster is shown in the table.
A 4-column table with 7 rows titled Basketball Roster. Column 1 is labeled Player with entries Adams, Brock, Cup, Dennis, Early, Finn, Graham. Column 2 is labeled Grade with entries 11, 12, 11, 10, 12, 11, 12. Column 3 is labeled Position with entries G, F, F, G, C, F, G. Column 4 is labeled height with entries 5 foot 6, 5 foot 8, 5 foot 9, 5 foot 3, 5 foot 11, 5 foot 9, 5 foot 5.
Which variable would be classified as a continuous quantitative variable?
grade
height
player name
position
Using variable concepts, it is found that the player's height is a continuous quantitative variable.
What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.In this problem:
The player name and position are qualitative variables.Grade assumes only integer values, hence it is discrete.The height is quantitative, assuming decimal values in inches, hence it is also continuous.You can learn more about continuous and discrete variables at https://brainly.com/question/16978770
Answer:
height
Step-by-step explanation:
noballz
— 4(3х – 1) + 6x 2 16
What’s the answer
Answer:
The levels have fallen in the city of the south season of 2021where Jesse Lingard has been released in the city of California and has been released by the University of New Zealand
Pete is twice as old as chris. Seven years ago the sum of their ages was 31. Find their ages now
Answer:
Step-by-step explanation:
Answer: Pete is twice as old as Chris.p = 2c Seven years ago the sum of their ages were 31.(p-7) + (c-7) = 31p + c - 14 = 31p + c = 31 + 14p + c = 45Find their ages now replace p with 2c2c + c = 453c = 45c = 45/3c = 15 is Chris's agethenp = 2(15)p = 30 is Pete's age::Check solutions in the statement"Seven years ago the sum of their ages were 31"30-7 + 15-7 = 31
Smoking males in a given area have a mean life expectancy of 68.5 years, with a standard deviation of 5.3 years. The distribution of life expectancy is not assumed to be symmetric.
Between what two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males?
Round your answers to the nearest tenth. Enter the bounds in ascending order.
Answer:
52.6, 84.4
Step-by-step explanation:
Chebyshev's Theorem guarantee that we will find at least 89% of smoking males in the life expectancy range [52.6, 84.4].
What is Chebyshev's inequality?In probability theory, Chebyshev’s inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.
Let X be a random variable with mean μ with a finite variance σ², then for any real number k > 0, P(|X-μ| < kσ) ≥ 1-1/k².
Given,
Mean life expectancy = μ = 68.5 years
Standard deviation = σ = 5.3 years
P(|X-μ| < kσ) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 0.89
\(1 - \frac{1}{k^{2} } = 0.89\)
\(\frac{1}{k^{2} } = 0.11\\ \\\frac{1}{k^{2} } = \frac{1}{9} \\\\k = 3\)
Between the following two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males:
= [μ - 3σ, μ + 3σ]
= [68.5 - 3*5.3, 68.5 + 3*5.3]
= [52.6, 84.4]
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anyoneknodacorrectanswer
Answer:IknowdacorrectansweritisA
Step-by-step explanation:
Solve for in the equation = .
Answer:
What's the equation?
Step-by-step explanation:
3.) Given the graph of the line represented by the equation f(x) = -3x + b,
if b is decreased by 5 units, the graph of the new line would be shifted 5 units
1) right
2) up
3) left
4)down
Answer: (4)
Step-by-step explanation:
What is the vertical asymptotes of 4x^7+3x+11/5x-10
Answer:
x = 2
Step-by-step explanation:
The denominator of the rational function cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
5x - 10 = 0 ⇒ 5x = 10 ⇒ x = 2 ← excluded value
Thus x = 2 is the vertical asymptote
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
2. Abigail and Curtis Siebert: $270,000 mortgage at 7% for 20 years.
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1). Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.
To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.
The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.
Now, we can substitute the values into the formula:
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).
Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
Graph on a number line. x≥-4
Answer
Circle is filled in because it is greater than or EQUAL to. The arrow goes to the right because it is greater than -4