Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?
Answer: The slope of p is 1/3
Step-by-step explanation:
If the lines are perpendicular, this means they are opposite.
Thus, O is opposite P and since O = -3, P = 1/3
David can receive one of the following two payment streams:
i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0
At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.
Determine i.
Answer:
3.51%
Step-by-step explanation:
From the given information:
For the first stream, the present value can be computed as:
[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]
Present value for the second stream is:
[tex]=\dfrac{600}{(1+i)^{10}}[/tex]
Relating the above two equations together;
[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]
consider [tex]v = \dfrac{1}{1+i}[/tex], Then:
[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]
where:
[tex]v^n = 0.75941[/tex]
Now;
[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]
[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]
[tex](v)^{10} = 0.7082[/tex]
[tex](v) = \sqrt[10]{0.7082}[/tex]
v = 0.9661
Recall that:
[tex]v = \dfrac{1}{1+i}[/tex]
We can say that:
[tex]\dfrac{1}{1+i} = 0.9661[/tex]
[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]
Which table has a constant of proportionality between y and x equal to 0.3?
Answer:
C
Step-by-step explanation:
you can divide y/x
1.2/4= 0.3
2.4/8= 0.3
3.9/13= 0.3
-Ba+9=Q²a solve for a
Answer:
[tex]a= \frac{9}{B+Q^2}[/tex]
Step-by-step explanation:
Given;
-Ba+9=Q²a
To solve for "a", make "a" the subject of the formula.
First, collect similar terms together;
-Ba - Q²a = -9
multiply through by "-1" to remove the negative sign;
Ba + Q²a = 9
factor out a;
a(B + Q²) = 9
divide both sides of the equation by "(B + Q²) ";
[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]
Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]
Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? please give answer in step by step explaination
Saving percentage=100-80=20%
Saving amount:-
[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]
[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]
[tex]\\ \sf\longmapsto 43\times 20[/tex]
[tex]\\ \sf\longmapsto 860[/tex]
saving per year=Saving per month×12[tex]\\ \sf\longmapsto 12\times 860[/tex]
[tex]\\ \sf\longmapsto Rs10320[/tex]
Step-by-step explanation:
i think this will be help you
HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.
Answer:
you forgot to add an image I dont know what angles your talking about
Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?
Answer:
[tex]M = \log(10000)[/tex]
Step-by-step explanation:
Given
[tex]M = \log(\frac{I}{I_o})[/tex]
[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake
Required
The resulting equation
We have:
[tex]M = \log(\frac{I}{I_o})[/tex]
Substitute the right values
[tex]M = \log(\frac{10000I_o}{I_o})[/tex]
[tex]M = \log(10000)[/tex]
The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000
Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where
I = intensity of eartquake and I₀ = reference earthquake intensity.Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.
Magnitude of earthquakeSo, substituting these into the equation for M, we have
M = ㏒(I/I₀)
M = ㏒(10000I₀./I₀)
M = ㏒10000
So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000
Learn more about magnitude of an earthquake here:
https://brainly.com/question/3457285
The expected value of X, E(X) must never be less than zero. True or False.
Answer:
I think true
Step-by-step explanation:
like and mark brainlist
Obtain all other zeros of 2 x power 4 - 6 x cube + 3 X square + 3 x minus 2 if two of its zeros are 1\ square root 2 and -1\square root 2
A coach surveyed a random sample of 200 college athletes about their height.
A 2-column table with 4 rows. Column 1 is labeled Height (inches) with entries 60 to 64, 65 to 69, 70 to 74, 74 to 76. Column 2 is labeled Frequency with entries 14, 28, 53, 67.
Which statements are correct about the data in the table? Check all that apply.
A bar graph is an appropriate display.
A pie chart is an appropriate display.
A bar graph is not appropriate because the heights of the bars would be too different.
A pie chart is not appropriate because the categories do not add to 100%.
A bar graph is appropriate because the frequencies are given.
Answer:
A bar graph is an appropriate display.
A pie chart is not appropriate because the categories do not add to 100%.
A bar graph is appropriate because the frequencies are given.
Answer:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Step-by-step explanation:
A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.
While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.
For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Answer:
The answers are:
A.)A bar graph is an appropriate display.
D.)A pie chart is not appropriate because the categories do not add to 100%.
E.)A bar graph is appropriate because the frequencies are given.
Step-by-step explanation:
Got it right on edge2021, hope this helps you out
Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?
Answer:
12.5 mph and 7.5 mphStep-by-step explanation:
Tom's speed = xCarl's speed = yWe have:
x = y + 5(x + y)*10 = 200Substitute x and solve for y:
(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5Find x:
x = 7.5 + 5 = 12.5Tom's speed is 12.5 mph
Carl's speed is 7.5 mph
Now
a=b+510(a+b)=200From eq(2)
a+b=20From eq(1)
a-b=5Adding these recent two
2a=25a=12.5mphPutting in eq(1)
b=a-5b=12.5-5b=7.5mphAbsolute Value Equations
Answer:
4 is E, 5 is A
Step-by-step explanation:
4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.
5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.
What are the coordinates A’ after 90 counterclockwise rotation about the origin.
Answer:
the above is the answer
hope this is helpful
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED
Answer:
Option (1)
Step-by-step explanation:
Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.
8 roots means degree of the polynomial = 8
Option (1)
f(x) = (3x² - 4x - 5)(2x⁶- 5)
When we multiply (3x²) and (2x⁶),
(3x²)(2x⁶) = 6x⁸
Therefore, degree of the polynomial = 8
And number of roots = 8
Option (2)
f(x) = (3x⁴ + 2x)⁴
By solving the expression,
Leading term of the polynomial = (3x⁴)⁴
= 81x¹⁶
Therefore, degree of the polynomial = 16
And number of roots = 16
Option (3)
f(x) = (4x² - 7)³
Leading term of the polynomial = (4x²)³
= 64x⁶
Degree of the polynomial = 6
Number of roots = 6
Option (4)
f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)
By simplifying the expression,
Leading term of the polynomial = (6x⁸)(3x²)
= 18x¹⁰
Degree of the polynomial = 10
Therefore, number of roots = 10
Write the equation of the line for the graph shown below, please
Answer:
Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4
Step-by-step explanation:
To evaluate such, a comprehension of linear Cartesian planes are obligated:
Slopes = rise/run
X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.
Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.
Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.
Y- intercept: (4,0)
Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.
*I hope this helps.
For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4
The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q
Answer:
Step-by-step explanation:
gradient is essentially the slope of a straight line.
Use (y2-y1)/(x2-x1):
(q-0)/(0-6) = -3/2
q = 9
In triangleABC, AC = 15 centimeters, m
Answer:
16.17 cm
Step-by-step explanation:
The solution triangle attached below :
To obtain BC ; we use the sine rule ;
a/ sin A = b / sin B
A = (180 - (68 + 24))
A = 180 - 92
A = 88°
a / Sin 88 = 15 / sin 68
Cross multiply :
(a * sin 68) = (15 * sin 88)
a = 14.990862 / sin 68
a = 16.168165
a = 16.168 cm
the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation
Answer:
No
Explanation:
A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.
Help please, don’t understand this
Answer:
b = -13/3
Step-by-step explanation:
Plug in the 13/3 into the t and then try to solve it. Like this:
(13/3 - 8/3)(13/3 + b) = 0 ----> 5/3(13/3+b) = 0 ----> from here you have to distribute ----> 65/9 + b = 0 (here you have to subtract from both sides)
b = -65/9 (you could simplified) ---> b = -13/3
The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48
Answer:
How should we proceed with this question
How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest
9514 1404 393
Answer:
120 days
Step-by-step explanation:
Using the formula for simple interest, we can solve for t:
I = Prt
t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year
For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...
(1/3)(360 days) = 120 days
It will take 120 days for the loan to earn 608 in interest.
If ABCDE is reflected over the x-axis and then translated 3 units left, what are
the new coordinates C?
Answer:
B (-2,2)
Step-by-step explanation:
Point C starts at (1,-2).
Reflect over the x axis: Point C becomes (1,2)
Translate 3 units left: Subtract 3 from x to make Point C (-2,2)
The new coordinates of C is (-2,2).
option (B) is correct.
It is required to find the new co-ordinate of C.
What is called co ordinate?Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).
In the given figure ABCDE is reflected over X-axis and then translated 3 units left.
So, Point C starts at (1,-2).
Reflect over the x axis: Point C becomes (1,2).
Finally Reflect over the x axis: Point C becomes (-2,2).
OR
Translate 3 units left: Subtract 3 from x to make Point C IS (-2,2).
Thus, the new coordinates of C is (-2,2).
Learn more about the co-ordinates here:
http://brainly.com/question/24237088
#SPJ5
How far can you travel in 19 hours at 63 mph
Answer:
1197 miles.
Step by step explanation:Speed(s) = 63 mph
Time(t) = 19 hours
Distance(d) = ?
We know,
D = S × T
= 63 × 19
= 1197 miles
Frank, Carl, and Vinny started a lawn-mowing business over the summer. This table shows how many lawns each worker mowed during the summer months.Display the data in matrix W with rows indicating workers. What is element w11?
Possible Answers:
15
17
28
24
Given a matrix [tex]A[/tex] an element inside a matrix is denoted by [tex]A_{ij}[/tex] where [tex]i[/tex] is a number of a row and [tex]j[/tex] is a number of a column in which the element is in.
Your matrix is called [tex]W[/tex] and it equals to,
[tex]W=\begin{bmatrix}28&21&19\\17&24&15\\22&29&17\\\end{bmatrix}[/tex]
So [tex]W_{11}[/tex] will denote the element in the first row and first column that is [tex]\boxed{W_{11}=28}[/tex].
Hope this helps :)
Find m(angle) and give a trig equation
Step-by-step explanation:
Just using the Pythagoras theorem
Can someone help me
Answer: Around 38.2°
Step-by-step explanation:
Set ∠A = x & a = 15Set ∠B = 27° & b = 11Substitute them into the formula for the law of sines:
[tex]\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\[/tex]
Cross-multiply:
[tex]11sinx=15sin27[/tex]
Solve for x:
[tex]sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488[/tex]
I need help with this
Answer: 13.5 Okay! Here's the method count the legs of the right triangle
The formula we'll use will be
A^2 + B^2 = C^2
In this case we're counting by twos
The base is 11 so we times it by itself =110
The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----
182.25
Then you have got ur answer of 13.5
Step-by-step explanation:
I have 3 questionssss
∠A and ∠T are supplementary. Given m∠T = (7x+11)° and m∠A = (8x+19)°, what is m∠T?
The other two are in the pics attached! PLS!
Answer:
<T = 81
x = 10, angle = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
Step-by-step explanation:
Supplementary angles add to 180
(7x+11) + (8x+19) = 180
Combine like terms
15x + 30 = 180
Subtract 30 from each side
15x +30-30 = 180-30
15x= 150
Divide by 15
15x/15 = 150/15
x = 10
We want angle T
T = 7x+11 = 7(10)+11 = 70+11 = 81
The two angles add to 90
5x+10 + 30 = 90
Combine like terms
5x+40 = 90
5x+40-40 = 90-40
5x = 50
Divide by 5
5x/5 = 50/5
x=10
5x+10 = 5(10) +10 = 50+10 = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
please answer quickly!! and no links please!
Step-by-step explanation:
here are the answers for your problems
Solve the following formula for the specified variable:
C = 1/2 e * p for e
Given:
The formula is:
[tex]C=\dfrac{1}{2}e\cdot p[/tex]
To find:
The formula for e.
Solution:
We have,
[tex]C=\dfrac{1}{2}e\cdot p[/tex]
Multiply both sides by 2.
[tex]2C=e\cdot p[/tex]
Divide both sides by p.
[tex]\dfrac{2C}{p}=\dfrac{e\cdot p}{p}[/tex]
[tex]\dfrac{2C}{p}=e[/tex]
Interchange the sides.
[tex]e=\dfrac{2C}{p}[/tex]
Therefore, the required formula for e is [tex]e=\dfrac{2C}{p}[/tex].
