Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise
rotation about the origin.
Answers
Answer:
(1,-4) (2,0) (3,-11)
Step-by-step explanation:
if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot
Related Questions
When solving algebraic equations, you must undo the operations of
terms in reverse PEMDAS order. In other words, first, undo addition or
subtraction of terms, then undo multiplication or division of terms, then
undo exponents, then undo anything inside of parenthesis.
O True
O False
Answers
The statement is false, as the PEMDAS order must be respected, that is, parenthesis operations are done first, then exponents, then multiplication/division and finally addition/subtraction.
What is the precedence of operations?The precedence of operations is defined by the PEMDAS acronym, with a highest to lowest order of precedence, as follows:
P: power operations.E: exponent operations, with the same precedence as power operations, depending which appears first on the expression.M: multiplication operations.D: division operations, with the same precedence as division operations, depending which appears first on the expression.A: addition operations.S: subtraction operations, with the same precedence as subtraction operations, depending which appears first on the expression.More can be learned about precedence of operations at brainly.com/question/550188
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The value of log 3 5 × log 25 9 is
Answers
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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For each function below, identify and enter the percent rate of change per unit, t . Round to the nearest tenth of a percent. Then use the drop-down menus to classify each as exponential growth or decay.
Answers
For function f(t) = 1.25^t, it is an exponential growth.
How to explain the functionThe percent rate of change per unit t is found by taking the derivative of the function:
f'(t) = ln(1.25) * 1.25^t ≈ 9.2%
Since f'(t) is positive, the function represents exponential growth.
For function g(t)=5^-t:
The percent rate of change per unit t is found by taking the derivative of the function:
g'(t) = -ln(5) * 5^-t ≈ -13.9%
Since g'(t) is negative, the function represents exponential decay.
For function h(t) = 1.20(t/11):
The percent rate of change per unit t is found by taking the derivative of the function:
h'(t) = 1.20/11 ≈ 10.9%
Since h'(t) is positive, the function represents exponential growth.
For function k(t) = 0.63t:
The percent rate of change per unit t is found by taking the derivative of the function:
k'(t) = 0.63 ≈ 63.0%
Since k'(t) is positive, the function represents exponential growth.
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Grace is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $2.50. Grace spent $16.50 altogether at the carnival and the number of games she played is twice the number of rides she went on. Write a system of equations that could be used to determine the number of games Grace played and the number of rides Grace went on. Define the variables that you use to write the system.
Guys help me.
Answers
Answer:
g: games; r: rides
1.5g + 2.5r = 16.5
g = 2r
Step-by-step explanation:
g: # of games played
r: # of rides ridden
total amount spent: 1.50g + 2.50r = 16.50
relationship of games to rides: g = 2r
A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Answers
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 17.9% (i.e., an average gain of 17.9%) with a standard deviation of 34%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answers
Answer:
a) This portfolio loses money in 29.81% of the years.
b) The cutoff for the highest 15% of annual returns with this portfolio is a return of 53.16%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 17.9, \sigma = 34\)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
We have to find the pvalue of Z when X = 0. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0 - 17.9}{34}\)
\(Z = -0.53\)
\(Z = -0.53\) has a pvalue of 0.2981
This portfolio loses money in 29.81% of the years.
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.037 = \frac{X - 17.9}{34}\)
\(X - 17.9 = 1.037*34\)
\(X = 53.16\)
The cutoff for the highest 15% of annual returns with this portfolio is a return of 53.16%.
A triangle has vertices on a coordinate grid at F(9, 6), G(-5, 6), and H(-5,2)
What is the length, in units, of FG?
Answers
Based on the vertices of the triangle on the coordinate grid, the length of FG can be found to be 14 units
How to find the length on a coordinate plane?The length between two points on a coordinate plane can be found by the formula:
= √((x2-x1)²+(y2-y1)²)
The coordinates for FG are:
F(9, 6), and G(-5, 6),
The length of FG is:
= √(( -5 - 9)²+(6 - 6)²)
= √(( -14)²+(0)²)
= √ 196
= 14 units
In conclusion, the length of FG on the coordinate grid is 14 units.
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fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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helpppppppppppppppppp
Answers
Answer:
step 10 5 to the 10th power
Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).
8/5-c - 8/5+c
Find the difference in simplest form.
Answers
Answer:
16c
Step-by-step explanation:
The simplest form is: \(\frac{16c}{25-c^2}\).
Total distance = 16 miles.
So each distance = 16/2=8 miles.
Given: He can paddle the kayak at an average rate of 5 miles/hour.
And the speed of the current is = c
So the speed while going up = (5-c)
The speed while going down=(5+c).
So the time while going up = \(\frac{8}{5-c}\)
The time while going down=\(\frac{8}{5+c}\).
So the difference is:
\(\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}\)
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H2+2h-120
The first 2 (one after H) is square
Answers
Answer:
(h + 12)(h - 10)
Step-by-step explanation:
Assuming you require to factor the expression
Given
h² + 2h - 120
Consider the factors of the constant term (- 120) which sum to give the coefficient of the h- term (+ 2)
The factors are + 12 and - 10 , since
12 × - 10 = - 120 and 12 - 10 = + 2 , thus
h² + 2h - 120 = (h + 12)(h - 10) ← in factored form
See steps
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "h2" was replaced by "h^2".
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring h2+2h-120
The first term is, h2 its coefficient is 1 .
The middle term is, +2h its coefficient is 2 .
The last term, "the constant", is -120
Step-1 : Multiply the coefficient of the first term by the constant 1 • -120 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is 2 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7
-12 + 10 = -2
-10 + 12 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 12
h2 - 10h + 12h - 120
Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h-10)
Add up the last 2 terms, pulling out common factors :
12 • (h-10)
Step-5 : Add up the four terms of step 4 :
(h+12) • (h-10)
Which is the desired factorization
Final result :
(h + 12) • (h - 10)
I’ve been trying to figure this out
Answers
As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.
What does the term function mean?Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on
Here,
Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.
This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.
The asymptotes for the vertical slope are x = -4,
The horizontal asymptotes are Y = 0 and.
Slant has an asymptote of Y = x -4.
An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.
As a consequence, the solution to the given function problem is slant sampling points, which are y.
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What is the distance between z1 = 5 - 2i and z2 = 8 + i?
3√2
13.3
2√3
18
Answers
Answer:
d=2√10
Step-by-step explanation:
The distance between the two points will be given by:
d=√[(x-x1)^2+(y-y1)^2]
point z1=(3-2i) has the coordinates of (3,-2)
point z2=(5-8i) has the coordinates of (5,-8)
thus the distance between them will be:
d=√[(-8-(-2)²+(5-3)²)]
d=√[(-6)²+2²]
d=√(36+4)
d=√40
d=2√10
Answer:
3√2
Step-by-step explanation:
distance formula: d = √(a₁ - a₂)² + (b₁ - b₂)²
a = x, b = y
d = √(x₁ - x₂)² + (y₁ - y₂)²
The 2 in 1,703,298 has _______________ the value of the 2 in 3,932,574.
Answers
Answer:
1/10
Step-by-step explanation:
The value of 2 in 1,703,298 is 200.
The value of 2 in 3,932,574 is 2,000.
2,000 divided by 200 is 10.
Therefore, the 2 in 1,703,298 has 1/10 the value of the 2 in 3,932,574.
Answer:
1 tenth or 10%
Step-by-step explanation:
The 2 in the first number is in the hundreds place (200) but the 2 in the second number is thousands place(2000)
200/2000=0.1 or 10%
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g(n) = n + 2; Find g(6)
Answers
Answer:
g(6)=8
Step-by-step explanation
they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2
g(6)=8
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
Answers
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
How many 5-digit palindromes contain only even digits?
Answers
Answer:
The correct answer is - 900
Step-by-step explanation:
A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.
An n-digit palindrome is determined from the first n/2 digits if n is even, and from the first n+1/2 digits if n is odd.
Therefore, if n is even, there are 9×10⁽n⁻²/²⁾ palindromes; and if n is odd, there are 9×10⁽n₋²/²⁾ palindromes. where n is number of digits.
For n=5 , there are 9×10²=900 palindromes
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Students in a large statistics class were randomly divided into two
groups. The first group took the midterm exam with soft music
playing in the background while the second group took the exam
with no music playing. The exam scores of the two groups were
then compared.
This experiment was not blind because:
- students were allowed to keep their eyes open while
taking the exam.
- the exam was too long.
- the students knew whether or not music was playing while
they were taking the exam.
- some of the students did not study for the exam.
- students were randomized into the two groups.
Answers
The correct option is B. The students knew whether or not music was playing while they were taking the exam
Given,
The class was split into two groups.
The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.
In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.
In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.
However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.
Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
What is the missing measure?
Answers
Answer:
Step-by-step explanation:
This is a problem of ratios:
Set the problem up with matching similar side lengths equal:
50/10 = x/12
First simplify the left side:
50/10 = 5
Next, multiply both sides by 12.
We are left with:
x = 12(5)
x = 60
PLEASE HELP ASAP
A cone's circular base has a diameter of 6 feet. The volume of the cone is 176 cubic feet. What is the approximate height of the cone?
Answers
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
18.68 feet
Step-by-step explanation:
it passed the quiz
m and n are both integers. Select all the statements that are true if m and n are also equal to each other.
m-n=n-m
m+ (n) = m-n
o= m-n
m + n = 0
Answers
Answer:
a,c
Step-by-step explanation:
4) BRAINLIEST & 10 + POINTS! A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed of the edge of the wheel in cm per second. ****Round to the nearest whole number. Linear speed = ____ cm/s
Answers
Answer:
352 cm/s
Step-by-step explanation:
same as other thing i jsut did.
Answer:
≈ 1106 cm/s
Step-by-step explanation:
linear speed = angular speed x radius of the rotation
v = ωrv = linear speed (m/s)ω = angular speed (radians/s)r = radius of the rotation (m)------------
Given:
d= 44 cm ⇒ r= 44/2 cm= 22 cmω= 4 rev/0.5 s= 8 rev/s= 8*2π/s= 16π/s (converted rev to radians)Linear speed is:
v= 22*16π cm/s ≈ 1106 cm/s (rounded to full number)50 Points! Multiple choice algebra question. Use the value of the discriminant to determine the number and type of roots for the equation x^2-3x+7=0. Photo attached. Thank you!
Answers
The correct option A: 2 complex roots will be obtained from the given quadratic equation.
Explain about the discriminant:The quadratic formula's section under square root is the discriminant.
The number of solutions to the given quadratic equation depends on the discriminant, which can be positive, zero, or negative.
A quadratic equation with a positive discriminant has two unique real number solutions.A repeating real number solution to the quadratic equation is indicated by a discriminant of zero.Both of the answers are not real numbers, according to a negative discriminant.Given quadratic equation:
x² - 3x + 7 = 0 ..eq 1
standard form of quadratic equation:
ax² + bx + c = 0 ..eq 2
On comparing eq 1 and eq 2
a = 1, b = -3 and c = 7
Check the value of discriminant:
D = b² - 4ac
D = (-3)² - 4*1*7
D = 9 - 28
D = - 19
D < 0 (No real roots)
As, rational as well as irrational both are real number, so only option that satisfy the obtained condition is:
A: 2 complex roots.
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6th grade math help me, please. :)
Answers
Step-by-step explanation:
Hello there!!
no need to be panic we will help you, alright.
look solution in picture ok...
sorry for cutting in middle.
Hope it helps...
Plz help and have a correct answer! everyone is wrong...will mark brainliest!
Answers
Answer:
11) The intersection of two sets is the set of the elements that are common for both sets, in this case, we can see that: 79, 83 and 99 appear in both sets, then the intersection is: {79, 83, 99}
12) the union of both sets (all the possible options in the selection) is:
{75, 79, 82, 83, 94, 99, 101, 105} and the intersection set is {79, 83, 99}
So we have 8 elements in total, and 3 of them belong to the intersection, then the probability of selecting at random one element that belongs in the intersection is:
p = 3/8 = 0.375
13) In this case, the universal set is the set of all the real numbers.
You can remember that the set of all real numbers is equal to the union of the sets of the rational numbers and the set of the irrational numbers (and those two sets do not share any element).
Then, if we have only the set A = set of the irrational numbers, the complement will be the set of the rational numbers, because we must have that:
Set A U complement = Real set = irrational U rational.
(where U stands for "union")
now we replace Set A = irrational.
Irrational U complement = irrational U rational
complement = rational.
Name three collinear points.
Answers
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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The temperature outside changed from 76°F to 41°F over a period of five days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
35°F
B.
-35°F
C.
7°F
D.
-7°F
Answers
Explanation: 76-41=35 35/5=7
Answer:
C. 7°F
Step-by-step explanation:
2 + n = 16
I just need this and I’m done with math class and can someone explain it
Answers
Answer:
n=14
Step-by-step explanation:
since we need to isolate n to figure out what it equals to, what we do to one side of the equation must be done to the other side as well
therefore, we can subtract 2 from both sides of the equation to get:
n=14
I hope this helped, and if my answer was right, please mark this answer as brainliest! Thank you!