9514 1404 393
Answer:
after 32 minutes
Step-by-step explanation:
They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.
The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...
LCM(120, 128) = 120×128/GCD(120, 128)
LCM = 120×128/8 = 1920 . . . . . seconds
Converting this to minutes, we get ...
(1920 s)/(60 s/min) = 32 min
They will next cross the start line together after 32 minutes.
What does labeling a problem mean?
Answer:
im sure it means labelling or using a label is describing someone or something in a word or short phrase........:>
find the principal argument z= -2i
9514 1404 393
Answer:
-π/2
Step-by-step explanation:
The number lies on the negative imaginary axis, at an angle of -π/2 radians from the positive real axis.
__
The principal argument is the angle in the interval (-π, π].
round to
237 divide by 4 = (hundredths)
Find the area of the region bounded by y=1/x^2,y=4, and x=5. Use dy to differentiate and/or integrate.
Step-by-step explanation:
Let [tex]f(x) = 4[/tex] and [tex]g(x) = \frac{1}{x^2}[/tex]. The area A of the region bounded by the given lines is
[tex]\displaystyle A = \int [f(x) - g(x)]dx[/tex]
Note that [tex]g(x) = \frac{1}{x^2}[/tex] intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as
[tex]\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx[/tex]
[tex]\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5[/tex]
[tex]\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}[/tex]
a)
3. A bag contains chocolates: 3 Snickers, 5 Hershey Bars, 6 Kit-Kat Bars, 6 Milky Ways
Without replacing any of the chocolates back to the bag
a) What is the probability of selecting 2 Snickers?
b) What is the probability of selecting a Snickers and Hershey Bar in that order?
c) What is the probability of selecting a Milky Way and a Kit Kat bar in that order?
The probability of selecting 2 Snickers is 3/190. The probability of selecting a Snickers and Hershey Bar in that order is 3/76. The probability of selecting a Milky Way and a Kit Kat bar in that order is 18/190.
Number of Snickers = 3
Number of Hershey Bars = 5
Number of Kit-Kat Bars = 6
Number of Milky Ways = 6
Total number of chocolates = 20
a) What is the probability of selecting 2 Snickers?
= 3/20 × 2/19
= 3/190
The probability of selecting 2 Snickers is 3/190
b) What is the probability of selecting a Snickers and Hershey Bar in that order?
= 3/20 × 5/19
= 3/76
The answer is 3/76
c) What is the probability of selecting a Milky Way and a Kit Kat bar in that order
= 6/20 × 6/19
= 18/190
The probability is 18/190
Read related link on:
https://brainly.com/question/13604758
hurry
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is forty two degrees and the other is unknown.
Answer:
x = 138
Step-by-step explanation:
A straight line is 180
x+ 42 = 180
X = 180-42
x = 138
Find A when =$275 , R=0,09 and T=4 in the formula A=prt
Answer:
A = $99
Step-by-step explanation:
Substitute the values for the variables and multiply them together.
[tex]A=prt\\A=(275)(0.09)(4)\\A=99[/tex]
HELLO! CAN ANYBODY PLEASE GIVE THE ANSWERS TO THESEEEE! WOULD REALLY MEAN A LOT
Which expression does NOT equal to 10
_
12
I believe your answer is D
Answer:
option(d)
Step-by-step explanation:
5/12 + 4/12 + 3/12 + 2/12 + 1/12
=> (5+4+3+2+1)/12
=> 15/12 ≠ 10/12
how do you get rid of the fractions
Answer:
x = - 12/11
Step-by-step explanation:
Multiply by LCM (or LDC if you like that term better)
2 & 3 LCM = 6
6(3/2) x + 6(1/3)x + 5*6 = 3*6
9x + 2x + 30 = 18
11x = - 12
x = - 12/11
Consider the quadratic equation 4x2 - 11x - 3 = 0. Which of the following shows
this equation rewritten and ready to solve using factoring by grouping?
A) 4x2 - 9x - 2x - 3 = 0
B) 4x2 - 6x - 5x - 3 = 0
C) 4x2 - 12x + x - 3 = 0
D) 4x2 + 12x - x-3 = 0
Answer:
C
Step-by-step explanation:
The required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.
Given that,
The quadratic equation 4x² - 11x - 3 = 0 The equations is rewritten and ready to solve using factoring by grouping is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
4x² - 11x - 3 = 0
4x² - 12x + x - 3 = 0
4x[x - 3] + 1[x - 3] = 0
[4x + 1][x - 3] = 0
Thus, the required equation that is rewritten and ready to solve is 4x² - 12x + x - 3 = 0. Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
A research center project involved a survey of 851 Internet users. It provided a variety of statistics on Internet users. (a) The sample survey showed that 92% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. (Round your answers to four decimal places.)
Answer:
The answer is "(0.9193924 , 0.9206076)".
Step-by-step explanation:
[tex]\text{sample proportion}\ (SP) = 0.92\\\\\text{sample size}\ n = 851\\\\\text{Standard error} \ SE = \sqrt{\frac{(SP \times(1 - SP)}{n})}\\\\[/tex]
[tex]= \sqrt{\frac{(0.92 \times (0.08)}{851})}\\\\= \sqrt{\frac{0.0736}{851}}\\\\= \sqrt{8.648\times 10^{-5}}\\\\=0.00031[/tex]
[tex]\text{CI level is}\ 95\% \\\\\therefore\\\\ \alpha = 1 - 0.95 = 0.05\\\\\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\ Z_c = Z_{(\frac{\alpha}{2})} = 1.96[/tex]
Calculating the Margin of Error:
[tex]ME = z_{c} \times SE\\\\[/tex]
[tex]= 1.96 \times 0.00031\\\\ = 0.0006076[/tex]
[tex]CI = (SP - z*SE, SP + z*SE)[/tex]
[tex]= (0.92 - 1.96 * 0.00031 , 0.92 + 1.96 * 0.00031)\\\\ = (0.92 - 0.0006076 , 0.92 + 0.0006076)\\\\= (0.9193924 , 0.9206076)[/tex]
Judy got 27 546 points and 34 668 points in the first two rounds of a
game. How many points did Judy get in all?
Answer:
62 214Step-by-step explanation:
Given,
Points got by Judy in 1st round = 27 546
Points got by Judy in 2nd round = 34 668
Therefore,
Total points Judy got in the first two rounds
= 27 546 + 34 668
= 62 214 (Ans)
Solve for x^2=18
Please help
Simplify 4 to the 3rd power times 4 to the 5 the power
Answer:
4^8
Step-by-step explanation:
4^3 * 4^5
We know a^b * a^c = a^(b+c)
4^(3+5)
4^(8)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the answer...}}\\\\4^3 * 4 ^ 5\\-----------------\\\text{Recall the exponent rule:}\\\\a^x * a^y = a^{x+y}\\\\\rightarrow 4^3 + 4^5\\\\\rightarrow 4^{3+5}\\\\\rightarrow \boxed{4^8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end
Answer:
plane
Step-by-step explanation:
The two-dimensional set of points that has no beginning or end is described by the undefined geometric term is plane.
Question 19 of 28
Which of the following equations can be used to find the length of BC in the
triangle below?
B
10
А
30
с
A. BC = 30 + 10
B. (BC)2 = 102 + 302
C. BC = 30 - 10
D. (BC)2 = 302 - 102
Answer:
BC^2=10^2+30^2
Step-by-step explanation:
P=10B=30Using pythagorean theorem
[tex]\\ \sf\longmapsto BC^2=10^2+30^2[/tex]
[tex]\\ \sf\longmapsto BC^2=100+300[/tex]
[tex]\\ \sf\longmapsto BC^2=400[/tex]
[tex]\\ \sf\longmapsto BC=\sqrt{400}[/tex]
[tex]\\ \sf\longmapsto BC=20[/tex]
Express the speed of 0.0000000015 seconds in scientific notation
[tex]\\ \sf\longmapsto 0.0000000015[/tex]
[tex]\\ \sf\longmapsto 0.0015\times 10^{-6}s[/tex]
[tex]\\ \sf\longmapsto 0.015\times 10^{-7}s[/tex]
[tex]\\ \sf\longmapsto 0.15\times 10^{-8}s[/tex]
[tex]\\ \sf\longmapsto 1.5\times 10^{-9}s[/tex]
Answer: 0.0000000015 = 1.5 × 10⁻⁹
Concept:
When converting an integer to scientific notation:
- If the number is ≥1, then count the moves of the decimal point to the right until the number is 0<number<10. The number of moves will be the exponent that is positive.
- For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²
- If the number is <1, then count the moves of the decimal point to the left until the number is 0<number<10. The number of moves will be the exponent that is negative.
- For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³
Solve:
0.0000000015
The decimal point needs to move 9 times to the left to get a number that is between 0 and 10. The number is 1.5.
Thus, the scientific notion of 0.0000000015 will be 1.5 × 10⁻⁹
Hope this helps!! :)
Please let me know if you have any questions
Annie is opening a savings account which earns 5.2% interest compounded continuously how much will she need to deposit in the account so she has $2300 after seven years
Hi
let's call X the initial deposit.
the interest rate is 5.2 %
so each year X increase by 1.052.
so we have : X *1.052^7 =2300
X = 2300/1.052^7
X = 1612,94
please note that the deposit was rounded to the next cent. as the result would be 1612,937...
Answer:
1686.22
Step-by-step explanation:
1686.22
2300=P(1+(0.052x7))
2300=P1.364
P=2300/1.364
=1686.217...
=1686.22..
=1686 for the nearest dollar
Erik drew the diagram below of his irregularly shaped garden.
What is the area of Erik's garden? Show all work.
answer:
238 ft
explanation:
area of rhombus base×hight (14×12) = 168
find area of triangle 1/2(10)(14)=70
total area 168+70=238 ft.
Lines of symmetry give e the answer
Answer:
4
Step-by-step explanation:
There are 4 reflectional symmetry
Bryce drinks 3/4 pint of milk every day. How many pints of milk does Bryce in 7 days?
he drinks 5 1/4 pints of milk in 7 days
Step-by-step explanation:
3/4 × 7
=21/4
=5 1/4
What is the surface area?
9 ft
6 ft
3 ft
square feet
Answer:
the answer to this question is equal to 162
Please help me answer this
9514 1404 393
Answer:
B.
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
Here, we have a distance of 20 miles. The speed upstream will be 15-c, and the speed downstream will be 15+c. The total time for the two 20-mile trips upstream and back will be ...
20/(15 -c) +20/(15 +c) = 4 . . . . . . matches choice B
2. Solve the following system of equations. y = 5 + x 2x + 2y = 30
What is the volume of the cylinder below?
Height 4
Radius 7
Answer:
V ≈ 615.75
r Radius 7
h Height 4
A-(buc)=(A-b)u(A-c)
Step-by-step explanation:
I don't get the question a bit but I hope this makes sense
:)
If the point C is located at (5, 4) and C' is the image of C after being translated right 2. What are the
coordinates of C'?
Answer:
(7, 4)
Step-by-step explanation:
If point C is being translated to the right 2, the x coordinate will increase by 2. But, the y coordinate will stay the same.
Find the coordinates of C' by adding 2 to the original x coordinate:
5 + 2 = 7
The y coordinate will still be 4.
So, the coordinates of C' will be (7, 4)
what is the volume of a rectangular prism with length 5cm, width 3cm and height 4cm?
Answer:
60 cm^3
Step-by-step explanation:
The equation to find the volume for a rectangular prism is length times width time height.
So just multiply 5 times 3 times 4
V=(5)(3)(4)
V=60
Answer:
60cm^3
Step-by-step explanation:
w=3cm
h=4cm
l=5cm
[V=whl]
V=3×4×5=60
The probability that there will be a tornado in Tulsa, Oklahoma, each day of the summer depends on the humidity of the day in question. If the air is dry on a given day, there is a 0.5 percent chance of a tornado in Tulsa, if the air is humid on that day. there is a 5 percent chance of a tomado. On July 1, 2019, local news reported that there was 40 percent chance of the air being humid. What is the probability that there was a
tornado in Tulsa on July 1, 2019?
a) 0.003
B) 0.020
C)0.023
D) 0.040
E) 0.060
We solve this question building the probabilities outcomes.
According to this, it is found that the probability is: 0.023, given by option C.
The probabilities are:
40% = 0.4 probability of the air being humid.If humid, 5% = 0.05 probability of a tornado.100 - 40 = 60% = 0.6 probability of the air being dry.If dry, 0.5% = 0.005 probability of a tornado.What is the probability that there was a tornado in Tulsa on July 1, 2019?
Two possible outcomes:
0.05 of 0.4(humid)0.005 of 0.6(dry)Thus:
[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]
0.023 probability, and the correct answer is given by option C.
A similar problem is given at: https://brainly.com/question/16967884
