Answer:
So the class mark of class interval 30 - 40 is " 35 "
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
If the 6th terre
an Alis 11 and the first term is 1
find the common difference
Answer:
6th term = 11
1st term = 1
d = 11 - 1/5 = 2
Please help with this question
Answer:
2nd graph from top
Step-by-step explanation:
a/ -5 ≥ 10
Multiply each side by -5, remembering to flip the inequality
a/-5 *-5 ≤ 10*-5
a ≤ -50
closed circle at -50 line going to the left
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?
Answer:
20 =10X2cm
20
answer answer
Step-by-step explanation:
First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.
Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2
Answer:
A
Step-by-step explanation:
Help please I WILL MARK BRAINLIEST
Answer:
SAS
Step-by-step explanation:
DB and BD are equal
The angles near D are equal
AD and DC are equal
Side Angle Side
How to solve 4x-c=k solve for x
Answer:
[tex]x = \frac{k + c}{4}[/tex]
Step-by-step explanation:
Given:
[tex]4x - c = k[/tex]
Solve for:
[tex]x[/tex]
Solution:
(1) Let's move all of components that do not contain [tex]x[/tex] (our target) to the right side (notice the change of sign of [tex]c[/tex] from negative to positive):
[tex]4x = k + c[/tex]
(2) Let's divide both sides of equation by 4:
[tex]\frac{4x}{4} = \frac{k + c}{4}[/tex]
(3) Now, we simplify the left side:
[tex]x = \frac{k + c}{4}[/tex]
This is the solution.
Hope this helps!
:)
What is the equation of the following line? Be sure to scroll down first to see all answer options
Answer:
E. y = 1/4x
Step-by-step explanation:
Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis
PLZ HELP :) 10 PTS
Justify whether matrix A is invertible.
A.
Yes, because its determinant is not equal to zero.
B.
Yes, because its determinant is greater than zero.
C.
No, because its determinant is zero.
D.
No, because its determinant is less than zero.
E.
No, because its determinant is not equal to zero.
We have that
The Matrix A is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
From the question we are Given the matrix:
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
Invertible Matrix
In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that
[tex]AB=BA=I_n[/tex]
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero
Generally the determinate of Matrix A is given as
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]
In conclusion
The Matrix A is a singular square matrix and because its determinate is zero.
So, No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
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Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)
s = number of states visited
d = number of days
6d = number of states visited after d days pass by, excluding the first 2 visited
6d+2 = total number of states visited, including the 2 originally visited
Answer: s = 6d+2hurrryyyyy!!!! Need answer for work.
Answer:
x<7, The third option
Step-by-step explanation:
-1.1x+6.4>-1.3
We are trying to isolate x so we can move all the constant to one side.
-1.1x>-1.3-6.4
-1.1x>-7.7
Lastly, we need to divide both sides by -1.1.
-1.1x>-7.7/-1.1
Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.
x<7
Hope this helps :)
Answer:
I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...
What is the slope of the line that contains the points (-32, 23) and (-32, -19)?
Answer:
undefined
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( -19 -23)/(-32 - -32)
= 42 / 0
Dividing by zero gives us an undefined answer so the slope is undefined
1/3 of the members Voted know what fraction of the members did not know
Answer:
2/3 did not vote no
Step-by-step explanation:
1/3 voted no
The total is 1
1 - 1/3
3/3 -1/3
2/3 did not vote no
Click on the measure of the angle. 116 64 66 114
Answer:
116 degrees.
Step-by-step explanation:
2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
Please help! Correct answer only!
At a carnival, there is a game where you can draw one of 20 balls from a bucket. The balls are numbered from 1 to 20. If the number on the ball is odd, you win $31. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?
$____
Answer:
Expected Payoff ⇒ $ 15.5 ; Type in 15.5
Step-by-step explanation:
Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;
[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 15.5
Which expression is equal to -3b^4(6b^-8)? Assume b=/0
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
Pleases HELP anybody?? Ill mark you brilliance!
Answer:
Step-by-step explanation:
P=8/13≈0.62
What is the probability of rolling a die and it landing on a number less than 3?
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?
Answer:
a(n)=1800+(n-1)200
Step-by-step explanation
The usual formual is an=a1+d(n−1)
a1=The first number is the number you would start on
so 1800=a1
n=the number of times you would do it
you would usually put n-1 because the first number is already been put though the formula
d=the amount of change between each number
so 200=d
A(n)= a of n, like f(n) means f of n
so that why it is a(n)=1800+(n-1)200
i also got it right on A.pex
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
compare: 6/11 to 5/9 which one is greater
Answer:
5/9 is greater
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answer:
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) [tex]= \frac{24}{36}[/tex]
Step-by-step explanation:
Given Each number cube has sides numbered 1 through 6
Two distinct number cubes are rolled together
Total number of exhaustive cases n(S) = 36
Let 'E' be the event of getting sum is even
n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]
Let 'F' be the event of getting sum that is a multiple of '3'
n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12
[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]
n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5
[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) = P(E) + P(F) - P( E∩F)
[tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]
4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair
Answer:
c) a right angle
Step-by-step explanation:
A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.
These angles have the following attributes:
a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°
b) The angles are adjacent complementary angles: These means that the angles are next to each other.
Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.
Answer:
a right angle
Step-by-step explanation:
Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input
Which angle measures approximately 152°?
Answer:
The answer is YZC, so the third option
Step-by-step explanation:
The explanation for this one is fairly simple, as the lines are already drawn out for you!
The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC
Hopefully I helped you!
Answer:
yzc
Step-by-step explanation:
i took the test and got it right
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Each pendant = 3.60
Step-by-step explanation:
3 necklaces made of beads and pendants
The total is 20.10
20.10 = 3( beads + pendant)
Distribute
20.10 = 3 beads + 3 pendant
The total for the beads is 9.30
Replace the 3 beads with 9.30
20.10 = 9.30+ 3 pendant
Subtract 9.30 from each side
20.10-9.30 = 9.30+ 3 pendant - 9.30
10.80 = 3 pendant
Divide each side by 3
10.80/3 = 3 pendant/3
3.60 = pendant
