Answer:
C. -17, 9
Step-by-step explanation:
u = -9, 4
v = 8, -5
u - v
= (-9, 4) - (8, -5)
= (-9 - 8), (4 - (-5))
= -17, 9
If DE =11 and CE =27, what is CD?
Answer:
16
Step-by-step explanation:
Subtract DE from CE and you will get the value of CD
27 - 11 = 16
help please it's due tomorrow
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Can someone fill this out thanks
The intensity of an earthquake wave passing through the Earth is measured to be 2.8×106 J/m² .s at a distance of 53 km from the source.
(B) At what rate did energy pass through an area of 1.0 m^2 at 2.0 km?
The rate at which the energy pass through an area of 1.0 m² at 2.0 km is equal to 1.97 × 10⁹ J/s.
How to calculate the intensity of the earthquake from the source?At a constant power, the intensity of a wave is inversely proportional to the distance from the source. Mathematically, the intensity of a wave with respect to the distance from a source can be modeled (represented) by this mathematical expression;
I ∝ 1/r²
Where:
I represents the intensity of a wave.r represents the distance from a source.Next, we would re-write the mathematical expression and then determine the intensity of a wave from source as follows;
I₁/I₂ = r₂²/r₁²
I₁ = I₂(r₂²/r₁²)
Note: We know that its intensity when it passed a point from the source is 2.0 km.
Substituting the given parameters into the formula, we have;
I₁ = 2.8 × 10⁶ × (53²/2²)
I₁ = 1.97 × 10⁹ J/m²s.
Now, we can calculate the rate of the energy by using this formula;
Power = intensity × area
Power = 1.97 × 10⁹ × 1.0
Power = 1.97 × 10⁹ J/s.
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An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?
It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.
We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.
Let's substitute the given values into the formula and solve for t:
56,398.43 = 500(1 + 0.06/2)^(2t)
Divide both sides by 500:
112.79686 = (1 + 0.03)^(2t)
Take the natural logarithm of both sides to eliminate the exponent:
ln(112.79686) = ln(1.03)^(2t)
Using the property of logarithms, we can bring down the exponent:
ln(112.79686) = 2t * ln(1.03)
Now, divide both sides by 2 * ln(1.03):
t = ln(112.79686) / (2 * ln(1.03))
Using a calculator, we find t ≈ 17.12.
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4tan(x)-7=0 for 0<=x<360
Answer:
x = 65.26 degrees or x = 245.26 degrees.
Step-by-step explanation:
To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:
4tan(x) = 7
Then, we can divide both sides by 4 to get:
tan(x) = 7/4
Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:
x = tan^-1(7/4)
Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).
However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).
To find the solution in the first quadrant, we can simply use the value we just calculated:
x = 65.26 degrees (rounded to two decimal places)
To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:
x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)
So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:
x = 65.26 degrees or x = 245.26 degrees.
Whats -20x 50????????????
Answer:
-1,000
Step-by-step explanation:
Answer:
The answer is -1000
Step-by-step explanation:
Hope this helps!
Will mark Brainliest 43 points!!!
Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
y = one divided by twenty eightx2
x = one divided by twenty eighty2
-28y = x2
y2 = 14x
Answer:
x = one divided by twenty eighty2
Step-by-step explanation:
if i get 45/50 in a test how much percentage is it
Answer:
the answer to your questions is 90%
Select the most important variables and expressions the park owners should consider as they decide whether to add another roller coaster
Answer:
The park owners should take into account the population of children in the community, if there are a good number of kids living in that area and the towns nearby - there would be a great demand for another roller coaster. They should consider the safety measures on the particular roller coaster they intend to add and check for the available space where they plan to fit the ride in the park.
Hope that answers the question, have a great day!
Is the selection I chose for the last question correct? And I need help with the first question if u don’t mind. Also this is from a homework practice
Answer:
\(\text{minimum ,4.5}\)Explanation:
Firstly, we need to know if we will have a maximum or a minimum
This is dependent on the value of the coefficient of x^2, if positive or negative
This value dictates the direction in which the graph will face. The value is positive here, and that means the parabola will open up. This makes the extreme point a minimum
Now,let us get its value
We start by finding the first differential of the function
That would give:
\(f^{\prime}(x)\text{ = 4x-6}\)Now, we equate this to zero and get the value of x
\(\begin{gathered} 4x-6\text{ = 0} \\ 4x\text{ = 6} \\ x\text{ = 6/4} \\ x\text{ = 1.5} \end{gathered}\)Finally, we go back to substitute this value into the equation
We have this as:
\(\begin{gathered} f(1.5)=2(1.5)^2-6(1.5)\text{ + 9} \\ f(1.5)\text{ = 4.5-9+9 = 4.5} \end{gathered}\){-3,0,3} what is it closed under addition, multiplication,both or neither
{-3,0,3} is closed under multiplication.
What are functions of different types of brackets?Curly brackets are often used to denote sets in writing. For instance, a set of the integers 3, 4, 5, and 6 is denoted by "3, 4, 5, 6." In a calculus or physics lecture, angular brackets like 1,3> may denote an inner product, and square brackets may denote a matrix. Mathematicians often use brackets to group similar phrases or numbers together, which is a very important use of these symbols. An expression or thing encompassed by brackets is implied to be given precedence over other things by the presence of brackets. The most popular method for enclosing extra information from a third party is to use square brackets (someone other than the original author). In writing, a list of equal options is frequently denoted by curly brackets.
The set consist of numbers -3, 0 and 3 so if we use any combination of those 3 numbers under some operation and get as result one of those 3 numbers that means set is closed under that operation.
for multiplication you get:
0 × 3 = 0
0 × -3 = 0
-3 × 3 = -9
So all combinations used and answers are 0 and -9 which means set is closed under multiplication.
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6/10 of the class has a pet dog. 27/100 of the class has a pet cat. The rest of the class has a pet fish. What fraction of the class has a pet fish?
Answer:
13/100 have pet fish
Step-by-step explanation:
6/10 = 60/100
60/100 + 27/100 = 87/100 have cats and dogs
that leaves 13/100 have pet fish
please help me, what is the slope?
Answer:
Slope= 8
Y Intercept = 55
Step-by-step explanation:
Answer:
11. 8
12. 55
Step-by-step explanation:
y = 8x + 55
11. slope m = 8
12. y-intercept is when x = 0, y = 55
Four less than the product of a number (x)
and 5 is equal to 8 more than 2 added to
3 times the number. Which of these equa-
tions could be used to find the value of x?
Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.
Step-by-step explanation:
Four less than the product of a number (x) and 5 = 5x - 4
8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10
Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10
5x - 3x = 10 + 4
2x = 14
x = 14/2
therefore, x = 7
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Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )
Answer:
A. \(\displaystyle \frac{1}{2}\)
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
sin 30°
Step 2: Solve
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
Arnold Middle School and High School
sit on one piece of land that has an area of (3/8)(3/8)
square mile. The width of the land is 3/4
mile. What is the length of the school's
land?
Answer: 3/16
Step-by-step explanation:
3/8 x 3/8 = 9/64
9/64 / 3/4
9/64 x 4/3
36/192
3/16
A HighSchool’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team?
The sum of two numbers is 143 and their difference is 7. What are the numbers?
Answer:
The numbers are 75,68
Step-by-step explanation:
Let the number be a ,b
The sum of two numbers is 143
⇒ x + y = 143 -------------(I)
Their difference is 7
⇒ x - y = 7 --------------(II)
Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x
(I) x + y = 143
(II) x - y = 7 {Now add}
2x = 150
x = 150 ÷ 2
x = 75
Substitue x = 75 in equaion (I)
75 + y =143
y = 143 - 75
y = 68
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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The value of log 3 5 × log 25 9 is
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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A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
Will give brainleist PLEASE HELP ASAP
Sorry if it’s a bit blurry
Answer:
too blurry, I cant see the numbers
Answer:
X=5
Step-by-step explanation: I have attached my full work, but essentially, it is important to understand that all angles in a triangle equal 180 degrees. Also, we know that angles that form a line equal 180 degrees, so we can solve for the unknown by setting all of the angles in the triangle to 180 degrees to get an algebraic equation.
Katye received 15 gifts and a total of $100 in cash for her birthday. She buys one book that costs $23, and she wants to donate $10 to each of several local charities. How much money will Katye have left over if she donates to as many charities as possible?Describe steps you would use to solve the problem. You do not need to find the answer.
Answer:
To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:
Add up the value of the gifts Katye received:
Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)
Add up the value of the cash Katye received:
Total cash = $100
Subtract the cost of the book from the total cash:
Cash remaining after buying the book = $100 - $23
Determine the maximum number of $10 donations that Katye can make:
Maximum number of $10 donations = (cash remaining after buying the book) / $10
Multiply the maximum number of donations by $10 to get the total amount donated:
Total amount donated = (maximum number of $10 donations) x $10
Subtract the cost of the book and the total amount donated from the total cash:
Cash remaining = $100 - $23 - (total amount donated)
The final answer will be the cash remaining after these calculations
does anyone have the keys for edmentum guided notes!!! please help
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
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Choose the word or phrase that correctly completes the sentence.
Andrew wrapped his
sisters
sisteres'
sisters'
sister's
I don't know this yet.
present.
Answer:
answer is sister's.
Step-by-step explanation:
sisters mean more than one sister.
sisterses isn't a word.
sisters' also isn't a word.
sister's is a word and it means that she has possession of something or that she owns something.
They work-infested $18,000 into accounts, one yielding 4% interest and the other yielding 12%. If he received a total of $1,280 and interest at the end of the year, how much did he invest at 4%?
Answer:
$11,000
Step-by-step explanation:
Let amount invested for 12% yield be p . Amount for 4% yield is therefore (18000-p)
Interest for 12%: 12% of p=0.12p
Interest for 4%: 4% of (18000-p)=0.04(18000-p)=720-0.04p
Total interest:
=0.12p + (720-0.04p)
=0.12p-0.04p+720
=0.08p+720
But we already know the total interest is 1280
Therefore: 0.08p+720=1280
0.08p=1280-720
0.08p=560
p=560÷0.08
p=7000
Therefore at 4% the person invested:
(18000-p)
18000-7000
$11,000
what is the measure of the larger angle in this degree?
from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
pls help me!!
7th grade math :)
Answer:
D is the answer.
Step-by-step explanation:
On the X axis, the point lies at -1.75.
And on the Y axis the point is at 0.75.
Hope the explanation helps.
Answer:
d
Explanation:
The point (-1.75,0.75) is the location of 'point b'