A=24in² this th ans because the side of cube is 24 cm
m
A. not enough information
B. 70
C. 42
D. 38.5
Answer:
C
Step-by-step explanation:
Using Parts Whole Postulate we can write:
∠LQP = ∠LQR + ∠PQR
We know that ∠LQP = 77° and ∠LQR = 35° so we can write:
77° = 35° + ∠PQR
Therefore the answer is 77 - 35 = 42°.
As Devine rides her bike, she picks up a nail in her front tire. The height, h, of the nail from the ground as she rides her bike over time, t, in seconds, is modelled by the equation below: As Devine rides her bike, she picks up a nail in her front tire. The height, h, of the nail from the ground as she rides her bike over time, t, in seconds, is modelled by the equation below:
f(x)=-14 cos(720(t-10))+14
Using the equation, determine the following. Show your work for part marks.
a) What is the diameter of the bike wheel?
b) How long does it take the tire to rotate 3 times?
c) What is the minimum height of the nail? Does this height make sense? Why?
Answer:
a) 28 units
b) 0.0262 seconds
c) Minimum height of the nail = 1.923 units
Step-by-step explanation:
a) From the given equation, f(x) = -14×cos(720(t - 10)) + 14 comparing with the equation for periodic function, y = d + a·cos(bx - c)
Where:
d = The mid line
a = The amplitude
The period = 2π/b
c/b = The shift
Therefore, since the length of the mid line and the amplitude are equal, the diameter of the bike maximum f(x) = -14×-1 + 14 = 28
b) Given that three revolution = 6×π, we have;
At t = 0
cos(720(t-10) = cos(720(0-10)) = cos(7200) = 1
Therefore, for three revolutions, we have
720(t - 10) = 720t - 7200
b = 720
The period = 2π/b = 6·π/720 = 0.0262 seconds
c) The minimum height of the nail is given by the height of the wheel at t = 0, as follows;
f(x) = -14×cos(720(t - 10)) + 14
At t = 0 gives;
f(x) = -14×cos(720(0 - 10)) + 14
Minimum height of the nail = -14×cos(-7200) + 14 = -14×0.863+14 =1.923
Minimum height of the nail = 1.923
what happens to 50/p as p goes to a large positive number to small positive number? does it increase, decrease, or stay the same?
Answer:
Increase.
Step-by-step explanation:
Let's say p=25.
50/25=2
If p decreased and we turned the 25 into a 2, then 50/2=25.
The answer increased.
I hope this is what you were looking for!! <3
HELP WITH THIS , PLEASE .
Answer:
writing the answer would be confusing so i went on and wrote it on the page click image the attached to see the answers
If angles θ and α are complementary and sin θ = 3/4, what is cos α?
Answer:
3/4
Step-by-step explanation:
Since, angles θ and α are complementary.
Therefore,
θ + α = 90°
θ = 90° - α
Taking sin both sides.
sin θ = sin (90° - α)
sin θ = cos α (sin (90° - θ) = cos θ)
Since, sin θ = 3/4.....(given)
Hence, cos α = 3/4
How to do this question plz
Answer:
X=10
Step-by-step explanation:
the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2
x^2+(√200)^2=(√300)^2
x^2+200=300
x^2=300-200
x^2=100
x=√100=10
X=10
Find the area of the parallelogram.
10
60
4
Answer:
40
Step-by-step explanation:
area is length times width for 2d shapes. do 4x10 the are is 40
look at the picture find the value of z
Answer:
Z=7.9
Step-by-step explanation:
20.4 + 20.4 = 40.8
56.6 - 40.8 = 15.8
15.8/2 = 7.9
Answer:
z=7.9 cm
Step-by-step explanation:
So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.
z=7.9 cm
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year
a) using standard function notation , next = nowx1.06, starting at 1,000,000 use p to denote current population, r for the rate of population growth, and t for the number of years explain answer
b)is the function you wrote in the previous task recursive or non recursive?
c)compare the benefits of representing a situation using a recursive function versus using a regular function
Answer:
a) [tex]1,000,000 \times (1.06)^{t}[/tex]
b) The function is recursive
c) The benefits includes;
1) Simplification of information
2) Faster data access
3) Lesser storage requirement
4) Good for forecasting
5) Simplifies information analysis.
Step-by-step explanation:
The given information are;
The current population = 1,000,000
The rate of increase of the population = 6%
a) With the standard function notation is [tex]P_f[/tex] = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]
Where;
[tex]P_f[/tex] = Future population
[tex]P_p[/tex] = Present population
r = Rate of population increase
t = The number of years
Therefore, we have;
[tex]P_f[/tex] = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]
The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t
b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population
c) The benefits includes;
1) Simplification of the relationship of a given data with time
2) Provides a more faster way to access data that is recursive than using complex regular function with more variables
3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function
4) Provides improved forecasting
5) Enables detailed information analysis.
At a figure skating competition, the order of skaters is randomly selected. If
there are 20 skaters, what is the probability that Christie, Taylor, and Jona will
skate first, second, and third, respectively?
Answer: [tex]\dfrac{1}{6840}[/tex]
Step-by-step explanation:
According to the permutations:
The arrangement of n things in an order = n!
If we fix that the first, second, and third person for skating, then we to arrange only 17 of the skaters.
Number of ways to arrange rest of 17 skaters = 17!
Number of ways that Christie, Taylor, and Jona will skate first, second, and third, respectively = 1 x 17!=17!
Number of ways to arrange all 20 skaters = 20!
Now, the required probability = [tex]\dfrac{\text{favourable outcomes}}{\text{total ways}}[/tex]
[tex]=\dfrac{17!}{20!}\\\\=\dfrac{1}{20\times19\times18}\\\\=\dfrac{1}{6840}[/tex]
Hence, the required probability = [tex]\dfrac{1}{6840}[/tex]
A personnel manager is concerned about absenteeism. she decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. the null hypothesis is: absenteeism is distributed evenly throughout the week. the 0.01 level is to be used. the sample results are: day of the week number of employees absent monday 12 tuesday 9 wednesday 11 thursday 10 friday 9 saturday 9 what is the calculated value of chi-square?
Answer:
Hello your question lacks the required options
A.)11.070 B.)2.592
C.)13.388 D.)15.033
answer : 15.033 (D)
Step-by-step explanation:
The given Data
Day of The Week number of Absentees
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot
hence for the given options the critical value of chi-square is ≈ 15.03
Una máquina llena 4 baldes de helado en 30 minutos, funcionando siempre a la misma velocidad Si ante un corte de luz, solo funcionó durante 45 minutos, ¿cuántos baldes habrá llenado?
Answer:
La máquina llenó:
6 baldes
Step-by-step explanation:
Por regla de tres:
4 baldes son a 30 minutos
M baldes son a 45 minutos
M = 45*4/30
M = 180/30
M = 6
A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density of kerosene is 815 kg/m³. What is the mass of the kerosene in the container? Enter your answer in the box. Use 3.14 for π. Round your final answer to the nearest whole number.
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
The answer is 173
Step-by-step explanation:
The other guy's answer was correct, but he forgot to round up to the nearest whole number so just in case you didn't notice the question saying that!
PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
The probability of event A happening which is P(A) = 1/2
Step-by-step explanation:
To answer this question, we will have to make use of the mathematical formula for independent events.
Firstly, what do we mean by independent events?
Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.
Given that A and B are independent events, then mathematically;
P(A ∩ B) = P(A) P(B)
Now from the question, we know that We are to find P(A), inputing the values we have;
1/6 = P(A) * 1/3
P(A) = 1/6/1/3
P(A) = 1/2
A study of the annual population of toads in a county park shows the population, S(t), can be represented by the function S(t)=152(1.045)t, where the t represents the number of years since the study started. Based on the function, what is the growth rate?
Answer:
Based on the function, the growth rate is 4.5%
Step-by-step explanation:
In this question, we are given the exponential equation and we are told to deduce the growth rate.
Mathematically, we can rewrite the exponential equation as follows;
S(t) = 152(1.045)^t = 152(1 + 0.045)^t
What we see here is that we have successfully split the 1.045 to 1 + 0.045
Now, that value of 0.045 represents the growth rate.
This growth rate can be properly expressed if we make the fraction given as a percentage.
Thus the issue here is converting 0.045 to percentage
Mathematically, that would be;
0.045 = 4.5/100
This makes is 4.5%
So the growth rate we are looking for is 4.5%
−2(1 − 4x) = 3x + 8
Answer: x = 2
Step-by-step explanation:
First, Distribute
-2+8x=3x+8
Then, Subtract 3x
-2 + 5x=8
Then, Add 2
5x=10
Then, Divide by 5
x=2
Hope it helps <3
Answer:
-2(1-4x)=3x+8
distributive property
-2+8x=3x+8
subtract 8 on both sides
-2-8+8x=3x=-10+8x
now subtract 8x on both sides which equal: -10=-5x
now it part of the step and divide -5 on both sides to leave x or solve for x
-10/-5=x=2=x
x=2
Step-by-step explanation:
please help me with this
Answer:
see explanation
Step-by-step explanation:
2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference
160.59 = 2πr
base radius = 25.56 cm
Use pythagorean formula for semi-vertical height
40² = h² + 25.56²
h = 30.77 cm
volume = 1/3πr²h
V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³
Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.
Answer:
7182
Step-by-step explanation:
All you shoud do is to replace x by 9
● y = 10 * 9^3 -12*9
● y = 7182
At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?
Answer:
The board game store
Step-by-step explanation:
Just divide the store price by 4 and online by 5
Answer:
Toy store
Step-by-step explanation:
Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.
price/board games
Toy Store
price/board games
The toy store sells 4 board games for $25.84
$25.84 / 4 board games
25.84/5
6.46
Online Store
price/ board games
The online store sells 5 board games for $32.15
$32.15 / 5 board games
32.15/5
6.43
At the toy store, a board game costs $6.46. Online, it costs $6.43.
6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.
Find the angle of rotation about the center of the regular pentagon that maps A to D.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
Answer:
216
Step-by-step explanation:
Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.
A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation
Answer:
13 feetStep-by-step explanation:
If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.
Change in feet of the groups elevation = final feel - initial feet
Given initial feet = -5 feetFinal feet = 8 feet
Change in feet of the groups elevation = 8 -(-5)
Change in feet of the groups elevation = 8+5
Change in feet of the groups elevation = 13
please help me with this math question
Answer:
5.50 years
Step-by-step explanation:
A = P[tex](1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
3178 = 2000(1+.086/2)^2t
t = 5.499904413
Which of the following statements is true about the relation represented in the table? The data in the table is linear. The data in the table is nonlinear.
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48
The statement that is true about the information in the table is that the data is non-linear.
Which statement is true about the given table?
The easier way to study the table is by graphing it. Here we have the points:
(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).
The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.
So the correct option is non-linear.
If you want to learn more about tables, you can read:
https://brainly.com/question/7301139
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x
Answer:
x=7/5
Step-by-step explanation:
Original dimensions
Length=11 meters
Width=5 meters
Each dimension reduced by x meters
L=11-x
W=5-x
Length/width=ratio of length/ratio of width
11-x/5-x = 8/3
Cross product
(11-x)3 =( 5-x)8
33-3x=40-8x
-3x+8x=40-33
5x=7
x=7/5
Check:
11-7/5=55-7/5
=48/5
5-7/5=25-7/5
=18/5
48/5÷18/5
=48/5*5/18
=240/90
=24/9
=8/3
Length: width=8:3
Please answer this question now
Answer: S = 8.9 or just 9
Step-by-step explanation:
Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution
Answer:
x = 3 and x = -3
Step-by-step explanation:
/x/ - 8 = -5
Add 8 to both sides
/x/ -8 + 8 = -5 +8
/x/ = 3
/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer: probability of getting two 5s =0.04
probability of getting at least one 5 =0.36
probability of getting a total score greater than 5 =0.6
Step-by-step explanation:
Total outcomes on 1 spinner = 5
Then , total outcomes of spinning it 2 times= [tex]5\times5 = 25[/tex]
Number of outcomes for getting two 5's = 1
Then, the probability of getting two 5s [tex]=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{25}=0.04[/tex]
Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9
Then, the probability of getting at least one 5[tex]=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{9}{25}=0.36[/tex]
Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4
Then, the probability of getting a total score of 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{4}{25}[/tex]
Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15
Then, the probability of getting a total score greater than 5,[tex]=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{15}{25}=\dfrac{3}{5}=0.6[/tex]
AB is tangent to circle D. Find the value of x.
Answer:
c 15
Step-by-step explanation:
Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.
We can use the Pythagoren theorem.
a^2 + b^2 = c^2
x^2 + 20^2 = (x + 10)^2
x^2 + 400 = (x + 10)(x + 10)
x^2 + 400 = x^2 + 10x + 10x + 100
400 = 20x + 100
20x = 300
x = 15
is 0.99 an repeating number
Answer:
No
Step-by-step explanation:
0.99 is not a repeating decimal because it terminates, meaning that it "ends". We know this because there are no more digits after 9 and there is no "..." at the end of the decimal.