Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
find the measure of ∠A.
Answer:
68 degrees
Step-by-step explanation:
Supplementary angles have sum 180°
5x+27+5x-7=18010x+27-7=18010x+20=18010x=160x=16<A=
5(16)+2780+27107°3. Which point is located at (4, -5)?
А
в
с
D
Answer:
Your answer to this question is C (4, -5)
I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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PLSSS NEED TO PASS LOL What is the value of x? Show your work.
4x-4=20
or, 4x=20+4
or,4x=24
or,x=20/4
tgerefore,x=5
Answer:
honesty i don't know fam
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)
\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)
Samuel says that 25% is greater than 0.3.
Is he correct? Explain your answer.
Answer: No 0.3 as a percentage is larger than 25%
Step-by-step explanation:
'percent' is 'over hundred'
if you convert 0.3 into a percentage it becomes 30 percent
Samuel says that 25% is greater than 0.3 is not correct statement.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
The percentage is denoted by the symbol %.
The percentage is used or most important application is to compare any two quantities. We compare one quantity against another, with the second quantity rebased to 100 by using percentage.
Samuels says that 25% is greater than 0.3 is a false.
25% when it is converted to decimals.
25 divided by 100
we will get 0.25
and if 0.3 is converted to percentage
0.3×100=30%
We know that 30% is greater than 25%.
hence Samuel says that 25% is greater than 0.3 is not correct.
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Henry earned $596.45 for working 32 hours. What is Henry's hourly wage? Round to the nearest cent.
Answer:
18.6390625
Step-by-step explanation:
Answer: $18.64
bcuz yes
i am a number between 17 and 25 i am a multiple of 3..... 6 is not a factor of mine
a) b) QUESTION I Use a protractor to measure the size of angle 9 and a ruler to measure the length of AB and BC in each case. (a) A 8 B What do you notice? (b) Complete the statements: The line drawn from the centre of a circle will be The line drawn from the centre of a circle O the chord. 0 B A to the chord.
(a) When measuring angle 9 and the lengths of AB and BC, one observation is required.
(b) The line drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord, while the line drawn from the center of a circle to an endpoint of a chord bisects the chord.
a) In the given diagram, we have angle AOB (angle 9) and line segments AB and BC.
To measure angle 9, we use a protractor. We align the baseline of the protractor with the line segment OA, ensuring that the center point of the protractor coincides with the vertex O. Then, we read the degree measurement where the line segment OB intersects the protractor. Let's assume the measurement of angle 9 is x degrees.
To measure the length of line segments AB and BC, we use a ruler. We align the ruler with the line segments and read the length in units (e.g., centimeters or inches).
b) The statements to complete are:
(i) The line drawn from the center of a circle to the midpoint of a chord will be perpendicular to the chord.
(ii) The line drawn from the center of a circle to the endpoint of a chord will bisect the chord.
In a circle, the center of the circle lies on the perpendicular bisector of any chord. This means that if we draw a line from the center of the circle to the midpoint of a chord, it will be perpendicular to the chord (statement i). Similarly, if we draw a line from the center of the circle to one of the endpoints of the chord, it will bisect the chord into two equal parts (statement ii).
These properties hold true for any chord in a circle, and they are based on the geometric properties of circles and perpendicular bisectors.
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What is the image of (-4,-2) after a reflection over the x-axis?
According to the image the x-axis, there is a reflection (- 4, 2 ).
How can a coordinate be found to mirror itself?An image that has been flipped has no points that are closer to the mirror line than the original shape. The point's coordinate must be multiplied by -1 in order to reflect it over the axis. Simply add -1 to the coordinate of the point to reflect it over the axis.
What does the term coordinate geometry refer to?Analytic geometry, often known as coordinate geometry, is the study of geometry using coordinate points. It is possible to determine distances between points using coordinate geometry, as well as divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.
According to the given data:Under the x-axis reflection.
A point (x, y) → (x, -y), so
(- 4, - 2 ) → (- 4, 2 )
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I am a number whose prime factors are all of the prime numbers between 6 and 15. No factor is repeated. What number am I?
Answer:
Question Answer
I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001
The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have:
I am a number whose prime factors are all of the prime numbers between 6 and 15.
The prime number between 6 and 15:
As we know, the prime number is the number that is divisible by 1 and itself.
Prime number = {7, 11, 13}
= 7×11×13
= 1001
Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.
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A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).
Answer:
(c) The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
Step-by-step explanation:
You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).
Inverse functionThe inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...
f(a) = b
then the graph of f(x) contains the ordered pair (a, b).
The inverse function will have the ordered pair (b, a). That is,
f⁻¹(b) = a
ApplicationIf an ordered pair (x-intercept) of the inverse function is ...
(P, 0)
Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.
The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
__
Additional comment
The graphs of the two functions are mirror images of each other across the line y=x.
<95141404393>
Please help ❤️ What percent of 24 is 15?
Answer:
62.5
Step-by-step explanation:
There ya gooo :)
Answer:
62.5%
Here You go
Step-by-step explanation:
determine what type of model bets fits the given situation: A $500 raise in salary each year
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
Machine 1 Machine2 Machine 3 Machine 4 Machine 5
Job 1 23 11 22 23 27
Job 2 6 1 5 6 6
Job 3 9 4 7 10 3
Job 4 13 22 15 35 13
Job 5 9 6 2 4 6
4. Solve the following Assignment problem:
The solution to Assignment problem is given below.
What is Assignment Problem?The goal of the assignment problem, a particular kind of linear programming issue, is to reduce the time or expense of having several tasks completed by multiple people.
Step-1: Find out the each row minimum element and subtract it from that row
1 2 3 4 5
A 12 0 11 12 16 (-11)
B 5 0 4 5 5 (-1)
C 6 1 4 7 0 (-3)
D 0 9 2 22 0 (-13)
E 7 4 0 2 4 (-2)
Step-2: Find out the each column minimum element and subtract it from that column.
1 2 3 4 5
A 12 0 11 10 16
B 5 0 4 3 5
C 6 1 4 5 0
D 0 9 2 20 0
E 7 4 0 0 4
(-0) (-0) (-0) (-2) (-0)
Step-3: Make assignment in the opporunity cost table
(1) Rowwise cell (A,2) is assigned, so columnwise cell (B,2) crossed off.
(2) Rowwise cell (C,5) is assigned, so columnwise cell (D,5) crossed off.
(3) Rowwise cell (D,1) is assigned
(4) Columnwise cell (E,3) is assigned, so rowwise cell (E,4) crossed off.
Step-5: Cover the 0 with minimum number of lines
(1) Mark(✓) row B since it has no assignment
(2) Mark(✓) column 2 since row B has 0 in this column
(3) Mark(✓) row A since column 2 has an assignment in this row A.
(4) Since no other rows or columns can be marked, therefore draw straight lines through the unmarked rows C,D,E and marked columns 2.
Step-4: Number of assignments = 5, number of rows = 5
Which is equal, so solution is optimal
Optimal assignments are
1 2 3 4 5
A 9 [0] 8 7 13
B 2 0 1 [0] 2
C 6 4 4 5 [0]
D [0] 12 2 20 0
E 7 7 [0] 0 4
Optimal solution is
Work Job Cost
A 2 11
B 4 6
C 5 3
D 1 13
E 3 2
Total 35
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consider the system of linear equations
consider the system of linear equations
6x+2y – z=4
X +5y+z=3
2x+y+4z=27
A, solve the system by
I. Gassian elimination method,
II. LU- decomposition method
III. Gauss- Jacobi method,and
IV. Gauss-seidel method,
I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.
II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.
III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.
IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.
I. Gaussian Elimination Method:
To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:
| 6 2 -1 | 4 |
| 1 5 1 | 3 |
| 2 1 4 |27 |
We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.
After performing the necessary row operations, we obtain the following reduced row-echelon form:
| 6 2 -1 | 4 |
| 0 4 2 | -1 |
| 0 0 3 | 6 |
From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.
II. LU-Decomposition Method:
LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.
III. Gauss-Jacobi Method:
The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.
IV. Gauss-Seidel Method:
Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.
Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.
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If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of
getting exactly 6 heads?
The probability, to the nearest thousandth, of getting exactly 6 heads is 0.008
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total
If a fair coin is tossed 7 times, the total outcome will be 2^7 = 128
The probability of getting exactly 6 heads is only 1 outcome, hence the expected will be 1.
Pr(exactly 6 heads) = 1/128 = 0.008 (to nearest thousandth)
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Which angle measures 40 i-Ready
Answer:
<YTZ
Step-by-step explanation:
Vertical angles are congruent.
<VTW measures 40°.
<YTZ is vertical to angle VTW.
m<YTZ = m<VTW
m<YTZ = 40°
Answer: <YTZ
Can anyone help me with this?
Answer:
all of that?
Step-by-step explanation:
Below is the graph of . Translate it to make it the graph of . y2468-2-4-6-8x2468-2-4-6-8
The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Therefore, we have the following:
f(x) = x^2
g(x) = f(x - 1) + N
g(x) = (x - 1)^2 + 3
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A composition of reflections over parallel lines is the same as a __________. A. translation B. rotation C. glide reflection D. double rotation
Answer: A
Step-by-step explanation:
Answer: A.
Step-by-step explanation:
A composition of reflections over two parallel lines is equivalent to a translation.
1. Each roll of black ribbon has 3 2/3 yards of ribbon. If Amanda has 4 1/2 rolls of black ribbon, how many total yards does amanda have
Mrs Sinha bought one-third metre of pink material and five-sixths metre of purple material. How much material did she buy in total?
Answer:
1 1/6 metre
Step-by-step explanation:
1/3 pink + 5/6 purple
To add, we need to get a common denominator
1/3 *2/2 = 2/6
2/6 + 5/6
7/6
Change from an improper fraction to a mixed number
1 1/6 metre
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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What is 2/6 as a decimal
Answer: 0.333 repeating
Step-by-step explanation:
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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x+3.6= −4.75
Solve for x
Tell what you did to find x
Answer:
x=3.85
brainliest plssssssss
Step-by-step explanation:
Question:
x+3.6= −4.75
Step 1:
Subtract 3.6 from both sides of the equation
x+3.6-3.6=-4.75-3.6
Step 2:
Subtract the Numbers and simplify
x=3.85
Aubrey's dog weighs more than 56 pounds. which inequality correctly represents the possible weight, w, of her dog?
A) w<56
B) w>56
C) 56=w
D) 56>w
Answer:
Answer B is correct
The correct statement is w>56
What is an inequality?An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here: Aubrey's dog weighs more than 56 pounds.
The greater than symbol is >. So, 9>7 is read as '9 is greater than 7'. The less than symbol is <. Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).
let w be the weigh of the dog
Thus w>56
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hep me I have trouble with zero and we had to write on a paper
We want to substract
30.940
from
1.203.200
In order to do so we substract column by column, from right to left:
Since
0 - 0 = 0
for the second column
0 - 4
we cannot have an answer because 4 is higher than 0, then we borrow 1 from the number of the left:
Question 3 of 56
Triangle ABC has vertex coordinates A(-5, 2), B(-1, 3), and C(-1, 1). It is
rotated 90° clockwise around the origin. What are the coordinates of C?
Answer:1,1
Step-by-step explanation:if you do it 90 degrees all the way around ur gonna get 1,1.
Answer:
The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).
Step-by-step explanation: