Answer:
the anwer is 8
Step-by-step explanation:
ur welcome
What does
-$20 -$15 +$30 $2
Equal
Answer:
-3
Step-by-step explanation:
-20-15+30+2
-35+32
-3
at this rate about how long would it take this competitor to complete a 30-mile race
Hello could you please help me on questions 2 and 4 I don't understand them?
Given:
2. (2, 4), slope 2
we will write the equation of the line that passes through the point (2, 4) and has slope = 2
We will write the equation of the line using the point-slope form which is:
\(y-k=m\cdot(x-h)\)where (m) is the slope and the point (h, k)
so,
m = 2
h = 2
k = 4
So, the equation will be:
\(\begin{gathered} y-4=2(x-2) \\ y-4=2x-4 \\ y=2x \end{gathered}\)so, the answer will be the equation of the line is:
\(y=2x\)What is the degree of polynomial 2x² 5x² 7?.
The degree of the polynomial 2x² 5x² 7 is 4.
The biggest sum of all the exponents for all of variables in a term is the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The highest exponential power in a polynomial equation is called the polynomial's degree.
When x is the variable with the highest power n in an nth degree polynomial function with real coefficients, where n can take whole number values.
One of the key ideas in mathematics is the degree of polynomials, which establishes the maximum number of possible solutions and the frequency with which a function will cross the x-axis on a graph.
A polynomial with many variables is of a certain degree: Find the term with the highest degree by averaging the exponents of all the variables in each phrase. That will be regarded as the polynomial's degree.
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Write the equation of the line whose slope and the point through which it passes are given. Express
the equation in point-slope form.
(4,0) and slope m=-7
Answer:
\(y-0=-7(x-4)\)
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
\(y-k=m(x-h)\)
Where m is the slope and (h,k) is a point through which the line passes.
The line passes through the point (4,0) and has a slope of -7. The equation of the line is:
\(y-0=-7(x-4)\)
This is the point-slope form of the line.
Can u guys solve this fast?
Answer:
$336
Step-by-step explanation:
The slope is (277-100)/(3-0) = 59.
So, since the cost is $100 when t=0, C=59t+100.
After 4 months, the cost is 59(4)+100 = $336.
An optical fiber uses flint glass (n=1.66) clad with crown glass (n = 1.52). What is the critical angle? If you reversed the glass, is there still a critical angle? Why or why not?
The critical angle for the reversed glass would be 43.04 degrees.
Optical fibers are based on the principle of total internal reflection. An optical fiber consists of a cylindrical core that carries light along its length. The core is surrounded by a layer of cladding that reflects the light back into the core, preventing it from leaking out.
Therefore, the core must have a higher index of refraction than the cladding. The critical angle is defined as the angle of incidence at which light is refracted at 90 degrees and does not pass through the boundary of the two media. The critical angle is determined by the formula: Critical angle = sin^-1(n2/n1) Where n1 and n2 are the refractive indices of the two media.
Given that flint glass (n1) has an index of refraction of 1.66 and crown glass (n2) has an index of refraction of 1.52, we can calculate the critical angle as follows:Critical angle = sin^-1(n2/n1)Critical angle = sin^-1(1.52/1.66)
Critical angle = sin^-1(0.9157)Critical angle = 66.38 degrees
Therefore, the critical angle for this optical fiber is 66.38 degrees. If the glass were reversed, the critical angle would still exist. However, it would be a different angle because the refractive indices of the two media would be different.
In this case, the critical angle would be defined as follows:Critical angle = sin^-1(n1/n2)Critical angle = sin^-1(1.66/1.52)Critical angle = sin^-1(1.0921)Critical angle = 43.04 degrees
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In a geometric series, the first term is 108 and the common ratio is \frac{2}{3}. Find the sum of the first 8 terms.
Answer:
311.36
Step-by-step explanation:
For a geometric series sum of first n terms is \(a(1-r^n)/(1-r)\)
if r is less than 1.
where a is the first term and r is the common ratio.
____________________________\
given
a = 108
r = \(\frac{2}{3}.\)
n = 8
thus , sum of n term is
\(a(1-r^n)/(1-r)\\=>108(1-(2/3)^8)/(1-2/3)\\=> 108 (1 - 256/6561)/1/3\\=> 108(6561-256)/ 6561/1/3\\=> 108(6305)/2187\\=>311.36\)
Thus sum of first 8 terms is 311.36
Which point represents the ordered pair (2, -4)?
Responses
A
B
C
D
TI
2.
Points B and C on the coordinate plane show the positions, in miles, of objects from an archaeologist at an underwater archaeological site.
B
Distance (miles)
Archeologia
ol
1
6
7
2 3
5
Distance (miles)
To the nearest tenth of a mile, how much farther is object C than object from the archaeologist?
0.8 mile
O 1.0 mile
5.8 miles
5.0 miles
Copyright 2020 Illuminate Educatie
Answer:
c
Step-by-step explanation:
help asap!!!!!!!!!!!
There are 24 different ways to arrange the cards in the boxes.
How to arrange the card in the box?
Because there are four boxes and four cards, there are four ways to arrange the first card, three ways to arrange the second card (because one box is already occupied), two ways to arrange the third card, and one method to arrange the fourth card. As a result, the total number of possible ways to arrange the cards in the boxes is:
4 x 3 x 2 x 1 = 24
So there are 24 different ways to arrange the cards in the boxes.
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(4) Perform a project management analysis for the data given below to determine ES, EF, LS, LF, and slack for cach activity, the total project completion time, and the critical path. Activity Time (weeks) Predecessors Activity Time (weeks) Predecessors A 8 E 6 B B 7 F 8 B C 5 A G 12 C.E D 4 А H Н 9 DF (a) Draw a network with t, ES, EF, LS, and LF (follow the same format as Figure 12.5 on page 468). LF Slack Critical? (b) Complete the following table (similar in format to Table 12.3). ES Activity Time (weeks) LS EF A B с D E F G H (c) Identify the critical path(s): (d) Based on your analysis, the project completion time is: weeks and the least critical activity is: A E (4) Perform a project management analysis for the data given below to determine ES, EF, LS, LF, and slack for each activity, the total project completion time, and the critical path. Activity Time (wecks) Predecessors Activity Time (weeks) Predecessors 8 B B 7 F C с 5 А G 12 CE D 9 () Draw a network with t, ES, EF, LS, and LF (follow the same format as Figure 12.5 on page 468). 6 8 B 4 A H DF . am 38 in (b) Complete the following table (similar in format to Table 12.3). Activity Time (weeks) ES EF LS LF Slack Critical? А B 5 с 5 D B E 2 F % 7 15 2 G IL 19 25 H 9 24 10 (e) Identify the critical path(s): A-L-1345 +2.25 BE77.612:25 (d) Based on your analysis, the project completion time is: 25 weeks and the least critical activity is G RO
The least critical activity is G with a slack time of 6 weeks.
In the question we are required to draw the network with t, ES, EF, LS, and LF for each activity, identifying the critical paths, and analyzing the project to determine the least critical activity and total project completion time.
According to the data given in the question, here is the network that can be drawn:
Explanation: The critical path is determined by calculating the duration of the project.
It is calculated by adding the duration of activities on the critical path.
Therefore, the project completion time is the sum of activities on the critical path.
The critical path for the project is A-B-F-G-H.
The total project completion time is calculated as:
Activity Duration A 8B 7F 8G 12H 9
Total 44
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x = \(\frac{2}{3}\)x - 5 WHAT IS X
x = -15
Step-by-step explanation:
\(x = \frac{2}{3} x - 5\)
Collect like terms and simplify
\(x - \frac{2}{3} x = - 5 \\ \frac{1}{3} x = - 5\)
Cross multiply
\(x = - 5 \times 3 \\ \\ x = - 15\)
Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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I need help, can someone explain #4,5,6 in full detail. (I'm very visual)
Answer
4= 55 and 3/4 5= 4 2/5 6= 6 and 1/2
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I did #4 for you:
\(11\frac{8}{9}+5\frac{1}{2}\)
\(11+5+\frac{8}{9}+\frac{1}{2}\)
\(16+\frac{16}{18}+\frac{9}{18}\)
\(16+\frac{24}{18}\)
\(16+\frac{4}{3}\)
\(16+1+\frac{1}{3}\)
\(17\frac{1}{3}\)
It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.
6 of 6
Lena and Ras drive to work.
Lena drives 24 miles in 1.5 hours.
Ras drives 36 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
km/h
Answer:
3.2 km/h
Step-by-step explanation:
1. Approach
The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:
\(\frac{total\ distance}{total\ time}=average\ speed\)
In this situation, one is asked to find the difference between two people's average speed. One is given the following information:
Lena: 24 miles 1.5 hours
Ras: 36km 1 hour 15 minutes
First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.
1. Find Lena's average speed
The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).
24miles * 1.6 = 38.4
Now find the average speed by using the formula:
\(\frac{total\ distance}{total\ time}=average\ speed\)
Substitute,
\(\frac{38.4}{1.5}\\\\=25.6\)
2. Find Ras's average speed
Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:
\(1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours\)
Now find the average speed:
\(\frac{total\ distance}{total\ time}=average\ speed\)
Substitute,
\(\frac{36}{\frac{75}{60}}\\\\=28.8\)
3. Find the difference between the speeds
Since Ras's speed is greater, subtract Lena's speed from Ras's speed.
Ras - Lena
= 28.8 - 25.6
= 3.2
what are the ordered pairs of the solutions for this system of equations?
f(x)=x^(2)-2x+3; f(x)=-2x+12
The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)
f(x) = x^2 -2x +3 and f(x) = -2x + 12
which means
x^2 -2x +3 = -2x + 12
x^2 -2x +3 + 2x - 12 = 0
x^2 -9 = 0
by factorizing we have
(x-3)(x+3) = 0
x = 3 or -3
when x = 3
f(x) = -2x + 12
f(3) = -2(3) + 12 which is 6
when x = -3
f(-3) = -2(-3) + 12 which is 18
ordered pairs are (3, 6) and (-3, 18)
In conclusion, (3, 6) and (-3, 18) are the ordered pairs
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Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.
4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Together, Matthew and Daniel have 67 DVDs.
M+D=67
Let x represents the number of DVDs
Matthew's collection has 3 times as many DVDs as Daniel's collection.
M=3D
Now M=D=x
As Matthew and Daniel have 67 DVDs.
3x+x=67
4x=67
Hence, 4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
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What is the pumber 0.00352 written in scientific notation?
HELP ASAP
Answer:3.52x10^-3
Step-by-step explanation:
Answer:
3.52*10^-3
Step-by-step explanation:
from
3. Error Analysis A student claims the
sequence 0,1,3, 6, ... is an arithmetic
sequence, and the next number is 10. What
error did the student make?
The given sequence 0,1,3,6,10 ......is not an arithmetic sequence because students make the error of common difference
What is an arithmetic sequence?
An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.
here the given sequence is 0,1,3,6,10,......is an arithmetic sequence
then the common difference between the consecutive terms is constant
lets check take two consecutive terms as 0 and 1 then the difference is 1
take 1 and 3 then common difference is 3-1 =2
take 3 and 6 then common difference is 6-3 =3
take 6 and 10 then common difference is 10-6=4
.............in the same way we check for other terms also
and found that the common difference is not same
Hence the given sequence 0,1,3,6,10 ......is not an arithmetic sequence because students make the error of common difference
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What is a simpler form of (3x+1)(x+4) ?
Answer:
That is the simplest form.
Step-by-step explanation:
\(3x^2+13x+4\) = (3x+1)(x+4)
Answer:
The equation is already simplified!
Step-by-step explanation:
credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)
-50 = -5x - 3(5x + 15)
Answer:
x =1/4Step-by-step explanation:
\(-50 = -5x - 3(5x + 15)\\\\-5x-3\left(5x+15\right)=-50\\\\\mathrm{Expand}\:-3\left(5x+15\right):\quad -15x-45\\-5x-15x-45=-50\\\\\mathrm{Add\:similar\:elements:}\:-5x-15x=-20x\\-20x-45=-50\\\\\mathrm{Add\:}45\mathrm{\:to\:both\:sides}\\-20x-45+45=-50+45\\\\Simplify\\-20x=-5\\\\\mathrm{Divide\:both\:sides\:by\:}-20\\\frac{-20x}{-20}=\frac{-5}{-20}\\\\Simplify\\x=\frac{1}{4}\)
Answer:
\(x = \frac{1}{4}\)
Step-by-step explanation:
\(-50 = -5x - 3(5x + 15)\)
Use -3 to open the bracket
\(-3(5x +15)\\\\= -15x -45\\\\ -50 = -5x-15x -45\)
Collect like terms
\(-50 +45 =-5x -15x\)
Simplify
\(-5 = -20x\)
Divide both sides of the equation by -20
\(\frac{-5}{-20} = \frac{-20x}{-20} \\\\1/4 =x\\\\x = \frac{1}{4}\)
1.Give one real world example in which we use volume of rectangular prisms.
2.Give one real world example in which we use surface area of rectangular prisms.
Answer:
construction workers uses those measurements for buildings and architects
8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X
Answer:
X - .4x
Step-by-step explanation:
X - .4x = x(1-.4) = .6x
1 -0.4x These are not like terms so they cannot be combined
X + 0.6 These are not like terms so they cannot be combined
0.6X - X x( .6-1) = x(-.4) = -.4x
simplify ........ (256y²⁵⁶) ⅛
help asap!!!!!
Answer:
2y^32
Step-by-step explanation:
Since 2^8 = 256, the eighth root of 256 is 2.
Next, we find the power of y by multiplying 256 and 1/8: result is 32.
Complete answer: 2y^32
The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?
an event that cannot happen is
a certain
b possible
c impossible
Victoria purchased 6 pints of ice cream for a party. If each guest will be served exactly
pint of ice cream, how many guests can Victoria serve?
Answer:
6
Step-by-step explanation:
Since she bought 6 pints of ice cream, each guest gets exactly a pint of ice cream. She can only serve 6 guests
in a survey of 500 homeowners, 240 said they planted peppers, 165 said they planted spinach and 142 said they planted garlic. if 82 of the homeowners planted only peppers, 45 planted only spinach, 22 planted only garlic and 36 said they planted all three, how many of the homeowners planted exactly two of the three vegetables? draw and fill out a venn diagram.
Number of homeowners planted exactly two of the three vegetables is 434
|P| = 240, |S| = 165, |G| = 142.
|P ∩ S ∩ G| = 36, |P ∩ S| = 0, |P ∩ G| = 0, |S ∩ G| = 0.
Where, P is the set of homeowners who planted peppers, S is the set of homeowners who planted spinach, and G is the set of homeowners who planted garlic
According to inclusion-exclusion
|P∪∪ G| = |P|+|S|+ |G|-|P ∩ S|-|P ∩ G|-|S ∩ G|+ |P∩S∩G|
= 240 + 165 + 142 - 0 - 0 - 0 + 36
= 583
|X| = |P ∩ S' ∩ G'| + |P' ∩ S ∩ G'| + |P' ∩ S' ∩ G|
Substitute the values
= 82 + 45 + 22
= 149
|Y| = 583 - 149
= 434
Therefore, there are 434 homeowners planted exactly two of the three vegetables
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Find the measure of Angles A and B and the length of BC?
Answer:
dummy its 23 bc angel A
Step-by-step explanation:
WRITE iT dOwN nOW dUmMy