Given the question
\(9-5x=64\)The steps include
Rewrite the subtraction as addition
Then
Undo any addition or subtraction
Subtract 9 from both sides of the equation and simplify
Rewrite the subtraction of 5x as an addition
Undo any multiplication or division
Divide both sides of the equation by -5 and simplify
whats 10n - 5(2n - 5)= ?
Answer:
6 !
3 !
log 2 ( 16 )
log 13 ( 28 )
Answer:
25
Step-by-step explanation:
Distribute -5 through the parentheses
10n-10n+25
Subtract
10n-10n=0
Leaving you with 25 as your answer
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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A student added the rational expressions as follows:
Problem:
Work:
5x
+
x+7
5x
+
x+7
Solution:
7
x
7(7)
x+7
5x+49
x+7
Describe and correct the error the student made. Solve the problem correctly.
The correct answer is (5x + 1) / (x+7).
What error did the student make?
The student made an error in adding the rational expressions. They attempted to add the numerators directly without finding a common denominator.
To add rational expressions, we must first find a common denominator, which is the Least Common Multiple (LCM) of the two denominators. Then, we can add the numerators.
Here is the correct solution:
Problem:
(5x) / (x+7) + 1 / (x+7)
First, note that both rational expressions have the same denominator (x+7). In this case, the LCM is simply (x+7). We can now add the numerators:
Work:
(5x) / (x+7) + 1 / (x+7) = (5x + 1) / (x+7)
Solution:
(5x + 1) / (x+7)
The correct answer is (5x + 1) / (x+7).
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HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
how do you do this?? could you kindly include your work pls..
Answer:
B. 0.
Step-by-step explanation:
(x + 2y)dy/dx = 2x - y
dy/dx = (2x -y)/(x + 2y)
Using implicit differentiation and the Quotient Rule:
d^2y/dx^2 = (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2
At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.
So substituting in d^2y/dx^2, we have:
(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/ (3+0)^2
= (6 - 6) / 9
= 0.
help meeeeeeeeeee!!! pleaseeee
Answer:
1/216
Step-by-step explanation:
(1/6)^3 is equal to 1/6 x 1/6 x 1/6 which is equal to 1x1x1/6x6x6.
You can simplify that, 1x1x1=1 and 6x6=36 and 36x6 is 216.
Therefore, the answer is 1/216.
\(\huge\text{Hey there!}\)
\(\mathsf{(\dfrac{1}{6})^3}\)
\(\mathsf{= \dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{1}{6}}\)
\(\mathsf{= \dfrac{1\times1\times1}{6\times6\times6}}\)
\(\mathsf{= \dfrac{1\times1}{36\times6}}\)
\(\mathsf{= \dfrac{1}{216}}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\boxed{\mathsf{\dfrac{1}{216}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
Why is the square root of 23 an irrational number
Answer:
When simplified, the square root of 23 is a non-terminating and non-repeating decimal. This, and the fact that it can't be written as a fraction is why it is an irrational number.
PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!
the answer is c
i already done it
Answer:
1/3 would be your answer
Step-by-step explanation:
anyway have a great day
(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.
please answer
no spam only for darkparadox #darkparadox
There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
(i) Zeroes of the polynomial:
In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:
From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.
We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:
We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.
The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a
Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,
we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0
Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))
Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
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M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Help Me A.S.A.P
Alice bought a 28 pack of donuts to share with her friends at school. The donuts cost $10.00 all together. what is the unit rate for the donuts
+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
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Hurry. !!! The formula A = 6s' gives the surface
area A of a cube with a side length s.
What is the surface area of a cube that
has a side length of 5 inches?
A. 25 square inches
B. 125 square inches
C. 150 square inches
D. 300 square inches
Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
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3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K
Answer:
2x + 2y + 3y
Step-by-step explanation:
The others are equations ( containing the = sign).
Answer:
2x+2y+3y
Step-by-step explanation:
an expression is not equated to any number but an equation is equated to any number especially zero
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Zack invested $5,500 in a mutual fund with an offer price of $20.40 and a net asset value of $10.50. How many shares did Zack purchase? Round to thousandths.
Zack purchased approximately 269.608 shares of the mutual fund.
To determine the number of shares Zack purchased, we need to divide the total amount he invested by the offer price of the mutual fund.
Given:
Investment amount: $5,500
Offer price: $20.40
To calculate the number of shares, we divide the investment amount by the offer price:
Number of shares = Investment amount / Offer price
Number of shares = $5,500 / $20.40
To simplify the calculation, we can divide both the numerator and denominator by 10. This does not change the result, but it makes the division easier:
Number of shares = $550 / $2.04
Now, we can perform the division:
Number of shares ≈ 269.6078
Since we are asked to round to thousandths, we can round the result to three decimal places:
Number of shares ≈ 269.608
Therefore, Zack purchased approximately 269.608 shares of the mutual fund.
It's important to note that in financial calculations, it is common to round the number of shares to the nearest whole number since partial shares are not typically traded. In that case, Zack would have purchased 270 shares. However, since the question asks for the answer rounded to thousandths, we have provided the answer as 269.608 shares.
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Quadratic Equations and Complex Numbers
please give a clear answer, thank you <3
The result of the given terms is -2/5 as per the given question from complex numbers.
What is a complex number?There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.
Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.
=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))
=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))
=(-2/5)+i(0)
= -2/5
Therefore, the result of the given terms is -2/5
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Best describes , whats the best possible answer
Answer:
D?
Step-by-step explanation:
I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees
When measured on the other line it is (y+70+x=180) I'm not too familiar with this??
help plsss fast plsplspsls
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
\(3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree\)
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answer:
Washing Powder
Step-by-step explanation:
Cost less and cleans better.
Answer:
The washing powder I think?
Step-by-step explanation:
Daniel plays a shooting game in a funfair. He needs 48 points to get a skateboard. Each shot that hits the target will be given 6 points while 4 points will be deducted for every failed attempt. Daniel has already failed in three attempts. how many shots that are needed to hit the target for him to win the skateboard
Answer:
here you go
Step-by-step explanation:
no of times he failed = -3
points he losed = -3 x 4 = -12
no of times he need to hit the target to get 48 points = 6x
equation
-12 + 6x = 48
6x = 60
x = 10
no of points he will gain = 10 x 6 = 60
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
HELP ME ASAPPP
Mr. Anderson worked with the following number of students each year.
42 in 2023-2024
256 in 2022-2023
195 in 2021-2022
228 in 2020-2021
174 in 2019-2020
136 in 2018-2019
216 in 2017-2018
204 in 2016-2017
151 in 2015-2016
What would we call 42 in this situation?
A.
Mean Absolute Deviation
B.
Mode
C.
Outlier
D.
Range
A chemical engineer must report the average volume of a certain pollutant produced by the plants under her supervision. Here are the data she has been given by each plant:plantvolume of pollutantPittCross CreekSusquehannaWhat average volume should the chemical engineer report
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
Total quantities of plant-produced pollutants:
\(=(10.88+15.82+0.92) \ L\\\\=27.62\ L\)
We are three medicinal plants here, Pinecrest, Macon, and Ogala. The average number of contaminants produced by plants would be
\(\to 27.62\div 3 \\\\\to \frac{27.62}{3} \\\\ \to 9.206 \ L\)
Zara part 2.4 pounds of grapes in the watermelon that cost $5.28. The total cost of the food was $7.32 which describes a way to determine X the price per pound for the grapes?
The way to determine x, which is the price per pound of the grapes is B. Subtract 5.28 from 7.32 and then divide the difference by 2.4.
How to find the price per pound ?To find the price per pound of the grapes, you first needed to find the price of the grapes alone, without the cost of the watermelons.
This price of the grapes can be found by the formula :
= Total cost of fruit - Cost of watermelon
= 7. 32 - 5. 28
= $ 2. 04
Then, you can find the cost of each pound of grapes by the formula :
= Cost of grapes / Pounds of grapes purchased
= 2. 04 / 2 . 40
= $ 0. 85
In summary, you can find the price per pound of the grapes when you Subtract 5.28 from 7.32 and then divide the difference by 2.4.
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The full question is:
Zara bought 2.4 pounds of grapes and a watermelon that cost $5.28. The total cost of the fruit was $7.32. Which describes a way to determine x, the price per pound for the grapes?
Divide 7.32 by 2.4 and then subtract 5.28 from the quotient. Subtract 5.28 from 7.32 and then divide the difference by 2.4. Solve for x in the equation 2.4x - 5.28 = 7.32. Solve for x in the equation 2.4 (x + 5.28) = 7.32.PLZ HELP!
Tanya is saving for a vacation. She wants to have at least $75 for each of the 12 days of her trip. If she saves $85 each month for 10 months, will she save enough money?
THIS IS THE REAL QUESTION(Look at the attachment)
Answer:
no
Step-by-step explanation:
85x10= 850
75x12= 900
Answer:
no it would not be enough
Step-by-step explanation:
85x10= 850
75x12= 900
What is the range of this function?
(-17, 5)
(6, 5)
(13, -2)