\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -4 +6}{2}~~~ ,~~~ \cfrac{ 1 -6}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ -5 }{2} \right)\implies \left( 1~~,~~-2\frac{1}{2} \right)\)
awnser the qusetion 9iu523hb5hn33
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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How do you find Exponential Decay Rate?
1+b
1-b
Answer:
Exponential decay is represented by the equation:
y = a * e^(-bx)
where:
y is the final value
a is the initial value
b is the decay rate
x is the time variable
The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:
ln(y/a) = -bx
b = -ln(y/a)/x
So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.
The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.
if this helps, can you please mark my answer brainliest?
Why Is 3 times 1/10 less than 3 times 10?k
3 times 1/10 is equal to 3/10, whereas 3 times 10 is equal to 30.
3/ 10 is less than 30.
We can write this as 3 * 1/10 compared to 3 * 10
If we divide both sides by 3, we then compare 1/10 and 10.
1/10 is less than 10, so 3 times 1/10 is less than 3 times 10.
We can rewrite 1/10 = 0.1, so 3 * 0.1 is 0.3 whereas 3 * 10 = 30.
Answer:
See Explanation
Step-by-step explanation:
When you multiply 3 * 1/10, 3 goes in the numerator so you get 3/10 which is 0.3
On the other hand 3*10 is 30.
0.3 is less than 30 that's why.
Here's the thing you had one pizza slice (equal to 1/10), and your parents gave you three times more the pizza slice. You will have three slices of pizza (each slice being 1/10) not 30 pizzas.
Hope that makes sense. I can explain again if you need me to!
What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
A skating rink charges a group rate of $8 plus a fee to rent each pair of skates. A family rents 5 pairs of skates and pays a total of $28.
Answer:
the fee for the skates is 4$ ea
Step-by-step explanation:
Simplify completely''''
Answer:
\(\displaystyle \frac{2(x + 3)}{5x - 2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
\(\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}\)
Step 2: Simplify
[Fraction] Factor numerator: \(\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}\)[Fraction] Factor denominator: \(\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}\)[Fraction] Divide: \(\displaystyle \frac{2(x + 3)}{5x - 2}\)Samara Park gets $0.25 for each pound of apricots she dries. How much will she be paid if she dries 16.4 pounds?
Samara will be paid $4.10 for drying 16.4 pounds of apricots.
How to calculate payment?To calculate the payment for the purchase of the item, we can use the formula:
Payment = Rate × Amount
Here, the rate is the amount paid per pound and the amount is the total number of pounds item.
To calculate Samara's payment for drying apricots, we can use the formula:
Payment = Rate × Amount
As per the question, the rate is $0.25 per pound, and the amount is 16.4 pounds.
So, substitute these values into the formula:
Payment = $0.25 × 16.4
Multiply $0.25 by 16.4:
Payment = $4.10
Therefore, Samara will be paid $4.10 for drying 16.4 pounds of apricots.
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solve the following exercise
8ab -3ab
Answer:
5ab
Step-by-step explanation:
8-3=5 just like 8ab-3ab=5ab
Which of the following points( X,Y) lies on the graph of 8X + 2Y = 24
Step-by-step explanation:
don't see any points to pick from however the following would lie on the graph
(0,12)
(1,8)
(2,4)
(3,0)
(4,-4)
12-(4y+8)=0.5(8y-16)
Answer:
y=3/2, decimal form, y=1.5, mixed number y=1 1/2
Step-by-step explanation:
120-10\left(4y+8\right)=5\left(8y-16\right)\=120-40y-80
-40y+40
10y-3(y+5) what’s the answer
Answer:
7y-15
Step-by-step explanation:
10y-3(y+5)
=10y-3y-15
=7y-15
Hope it helped :)
Rafael earns $35 more per week than Andrew. If their weekly salaries total $715, what amount does each earn?
Answer:
Rafael earns $375
Andrew earns $340
Step-by-step explanation:
Here, we will set up a system of equations where r represents Rafael and a represents andrew.
r = a + 35
r + a = 715
Next, we substitute a + 35 for r in the second equation.
(a + 35) + a = 715 (combine like terms)
2a + 35 = 715 (subtract 35 from both sides)
2a = 680 (divide both sides by 2)
a = 340
To solve for r, we can plug 340 for a into either equation.
r = (340) + 35
r = 375
We can double check by plugging both values into the other equation.
375 + 340 = 715 (yes, it works!)
Brainliest, please :)
f(x)=2x^3-13 inversed?
I need to know the inverse of
f(x)=2x^3-13
Answer:
Hi there!
Your answer is:
^3√ [ 4(x+14)/2 ]
Step-by-step explanation:
To find the inverse, change the positions of x and y and solve for y!
y= 2x^3 -14
x= 2y^3 -14
x+14= 2y^3
(x+14)/2
Find the cubed root of (x+14)/2!
^3√ [ 4(x+14)/2 ]
^3√ is the cubed root of
The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and
the third number is 8. What are the three numbers?
Answer:
Im not sure if this is correct
x=7
y=8/3
z=16/3
Step-by-step explanation:
The three equations are
x+y+z=15
x+3y=15
y+z=8
you can use substitution for the first and third equation so it would be
x+8=15
x=7
then use sub for the second equation
7+3y=15
3y=8
y=8/3
and you can finish by using sub for the third equation
8/3+z=8
3z=16
z=16/3
I hope this is correct
6. Error Analysis Dakota said the third term of the expansion of (2g + 3h) is 36g2h². Explain Dakota's error. Then correct the error.
The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression
Given data ,
Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:
( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ
Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.
So , on simplifying the equation , we get
= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²
= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²
= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²
Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.
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A bank features a savings account that has an annual percentage rate of 4.4 % with interest compounded quarterly. Natalie deposits $4,000 into the account.What is the annual percentage yield (APY) for the savings account? APY= %. Round to the nearest hundredth of a percent.
ANSWER :
4.47%
EXPLANATION :
The APY Formula is :
\(APY=\left(1+\frac{r}{n}\right)^n-1\)where r = annual percentage rate
n = number of compounding in a year
From the problem, r = 4.4% or 0.044 and n = 4 (Quarterly)
That will be :
\(\begin{gathered} APY=\left(1+\frac{0.044}{4}\right)^4-1 \\ APY=0.0447 \end{gathered}\)The APY is 4.47%
3) Write an equation of a circle satisfying the following conditions:
Center: (-2,5)
Radius: 23
a) (x - 2)2 + (v + 5)= 12
b) (x + 2)2 + (y – 5)2 = 12
c) (x - 2)2 + (y + 5)= 144
d) (x + 2)2 + (-5) = 154
Answer:
Ok :] ummmm report me i'm no help.
Step-by-step explanation:
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I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number. 5 degrees above zero 3 degrees below zero 6 degrees above zero 234 2 3 4 degrees below zero Order the temperatures above from the coldest to the warmest.
Answer:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
-3 ; - 2 3/4 ; + 5 ; + 6
Step-by-step explanation:
5 degrees above Zero = greater than 0 = + 5
3 degrees below Zero = less than 0 = - 3
6 degrees above Zero = greater Than 0 = + 6
2 3/4 degree below Zero = less than 0 = - 2 3/4
The least temperature value implies the coldest while the highest implies the warmest :
Therefore.
Least temperature = - 3 ; then - 2 3/4 ; then + 5 ; then + 6
-3 ; - 2 3/4 ; + 5 ; + 6
According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answer:
Option A is the right answer mate...
Classify the triangle by its sides and angles. Explain your reasoning.
The triangle that has been shown is a scalene obtuse triangle.
What is a scalene obtuse angle triangle?
A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.
A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.
Thus we have a scalene obtuse triangle.
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40.83 rounded number is
Answer:
41
Step-by-step explanation:
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
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Imagine your friend uses long division to determine the quotients, and is confused by how quickly you were able to determine the correct answer without performing long division. Explain how you were able to determine the quotients without performing long division.
There are several ways to divide numbers, one of them is by using long division.
The question is incomplete, so I will given a general explanation on how to perform long division.
Take for instance:
\(\mathbf{56 \div 9}\)
First, divide 56 by 9; the result is 6 (ignore the remainder)
\(\mathbf{56 \div 9 = 6}\)
Multiply 6 by 9
\(\mathbf{6 \times 9 = 54}\)
Subtract 54 from 56
\(\mathbf{56 - 54 = 2}\)
Next, divide 2 by 9; the result is 0 (ignore the remainder)
\(\mathbf{2 \div 9 = 0}\)
A division that gives 0, means that: the dividend of the division is the remainder.
So, the result of \(\mathbf{56 \div 9}\) is 6 with a remainder of 2.
i.e.
\(\mathbf{56 \div 9 = 6\ R 2}\)
To know if the result is correct, we make use of the following formula:
\(\mathbf{Dividend = Quotient \times Divisor + Remainder}\)
In this case:
\(\mathbf{Dividend = 56}\)
\(\mathbf{Quotient = 6}\)
\(\mathbf{Divisor = 9}\)
\(\mathbf{Remainder = 2}\)
So, we have:
\(\mathbf{Dividend = Quotient \times Divisor + Remainder}\)
\(\mathbf{56 = 6 \times 9+ 2}\)
\(\mathbf{56 = 54+ 2}\)
\(\mathbf{56 = 56}\)
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Suppose c(p) gives the number of calories burned doing p push-ups, and
p(t) gives the number of push-ups a person can do in t seconds.what is the meaning of the composite function c(p(45)).
The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
How to interpret the meaning of the composite function c(p(45))?The functions are given as:
c(p) gives the number of calories burned doing p push-upsp(t) gives the number of push-ups a person can do in t secondsSo, the interpretation of the function c(p(t)) is
The number of calories burned doing push-ups in t seconds
In c(p(45)), the value of t is 45
Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
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Ed decided to build a storage box. At first, he was planning to build a cubical box with edges of length n inches. To increase the amount of storage, he decided to make the box 1 inch taller and 2 inches longer while keeping its depth at n inches. The volume of the box Ed built has a volume how many cubic inches greater than the box he originally planned to build?
Answer:
The new volume is 3n^2+2n inches greater.
Step-by-step explanation:
Volume of a cube = s^3 where s is side of cube
Original volume = n^3
Volume of a Rectangular Prism = LBH
New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n
DIfference = New- original = 3n^2+2n
A mother is three times as old as her daughter,in twelve years time she will be twice as old.How old is the mother now ?
Answer:
its 48 i can explain how i got the answer if you would like
Step-by-step explanation:
recipe for 36 cupcakes calls for ¾ of a cup of butter. If Rob wants to make 24 cu cups of butter does he need?
3/12 =1/4 hopefully this answer works for you
An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 50% of the ELTs, Company B makes 45% of them, and the Company C makes the other 5% The ELTs made by Company A have a 4% rate of defects, the Company B's ELTs have a 6% rate of defects, and the Company C's ELTs have a 9% rate of defects. If a randomly selected ELT is then tested and is found to be defective, what is the probability that it was made by the Company B?
Answer:
We are given that 50% of the ELTs are made by Company A, 45% are made by Company B, and 5% are made by Company C. We also know the rate of defects for each company's ELTs: 4% for Company A, 6% for Company B, and 9% for Company C.
Let D be the event that an ELT is defective, and let Bi be the event that an ELT was made by Company i, where i = A, B, or C. We want to find the probability that an ELT is made by Company B given that it is defective, i.e., we want to find P(B|D).
Using Bayes' theorem, we can write:
P(B|D) = P(D|B) * P(B) / P(D)
where P(D|B) is the probability that an ELT made by Company B is defective, P(B) is the prior probability that an ELT is made by Company B, and P(D) is the overall probability of an ELT being defective.
We can calculate each of these probabilities as follows:
P(D|B) = 0.06 (given)
P(B) = 0.45 (given)
P(D) = P(D|A) * P(A) + P(D|B) * P(B) + P(D|C) * P(C)
= 0.04 * 0.5 + 0.06 * 0.45 + 0.09 * 0.05
= 0.0355
Substituting these values into Bayes' theorem, we get:
P(B|D) = P(D|B) * P(B) / P(D)
= 0.06 * 0.45 / 0.0355
≈ 0.762
Therefore, the probability that an ELT made by Company B is defective given that it is found to be defective is approximately 0.762, or 76.2%.