The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
Please answer ASAP this is due tomorrow
If a=.3 and b=.5, what is the value of a=b ?
Answer:
5.0/5.
Step-by-step explanation:
Answer:
3A = 5B A/B=5/3 (A + B) / B=(5+3) / 3 (A + B) / B=8/3 इसलिए सही उत्तर विकल्प B है।
Hope this helps
Step-by-step explanation:
100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.
Answer:
D.
Step-by-step explanation:
I'ts just reading the question over and over.
Answer:
The Answer is C
Step-by-step explanation:
I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
someone help me ASAP
Answer:
there's nothing here at all....
Step-by-step explanation:
20% of the students in the school are in kindergarten. How many students are in kindergarten if the school has 50 students?
Answer:
10 students in Kindergarten
Step-by-step explanation:
20% is equal to 1/5
1/5 x 50 = 10 or 50 ÷ 5 = 10
Answer:
10 ig
Step-by-step explanation:
cause
the net of a retangular prism is shown below. The surface area of each face is labeled. 12 square centimeters, 12 square centimeters, 18 square centimeters, 18 square centimeters, 24 square centimeters, and 24 square centimeters. which values represent the dimentions, in centimeters, of the retangular prism?
HELP QUICKLY PLEASE
Answer:
76
Step-by-step explanation:
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per hour. The westbound train
travels at 90 miles per hour. How long will it take for the two trains to be 304 miles apart? ( this is timed plz someone help)
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
280 miles = (95 mph + 105 mph) * elapsed time
280 miles = 200 mph * elapsed time
elapsed time = 280 miles / 200 mph
elapsed time = 1.4 hours
elapsed time = 1 hour and 24 minutes
It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.
state three (3) uses of graphs
how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?
Answer:
Step-by-step explanation:
The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.
r = 81/243 = ⅓
nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹
can someone pls help me w this
Answer:
a = 2
b = 1
c = 1
Step-by-step explanation:
The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.
Thus,
a = 2
b = 1 (1 * x = x)
c = 1
pls someone anwser quick
I need help ASAP will mark the brainliest
Answer: 7,3
Step-by-step explanation: do the x line the y line (not the best explanation)
Answer:
16,7
Step-by-step explanation:
The answer is 16,7 because y value will go up 3 since the JKLM is the same and x value will go right 10.
Y+3, x+10
Hope this help!
Can someone please help me it’s very important please ASAP
what is meaning of pictogram
here u go
i hope u got it
find tan C will mark branylis
Answer:
i think26 and 10
Step-by-step explanation:
Answer:
c. 12/5
Step-by-step explanation:
With reference angle C
perpendicular (P)= 24
base(b) = 10
Then
Tan < C = p / b
Tan < C = 24/ 10
Tan < C = 12/5
Hope it helps :)
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 fort and enter your answer as a decimal.
MA
As
d=8
MY
Co
MY
units
Answer:
[tex]A=50.24\ \text{unit}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the circle, d = 8 unit
Radius, r = 4 units
We need to find the area of the circle. The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2[/tex]
So, the area of the circle is equal to [tex]50.24\ \text{unit}^2[/tex].
Answer this for 10 points
Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
6 = -3x
x = -2
Hard question need help My mom is mad please help Middle school will like and give brainliest
The U.S. Postal Service is to deliver a letter to a certain postal ZIP 4 code. Find the probability that the ZIP 4 code is correct if the sender (a) randomly chooses the code, (b) knows the five-digit code but must randomly choose the last four digits, and (c) knows the five-digit code and the first two digits of the plus 4 code.
Answer:
State City ZIP Code(s)
Arizona (AZ) Phoenix 85001 thru 85055
Arkansas (AR) Little Rock 72201 thru 72217
California (CA) Sacramento Los Angeles Beverly Hills 94203 thru 94209 90001 thru 90089 90209 thru 90213
Colorado (CO) Denver 80201 thru 80239
Step-by-step explanation:
Hope This Helps!!!!!!!
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
pls Mark as brainliest
What four fractions can be made with the cards that have values less than 12
Answer:
4/8 3/6 5/10 2/4 6/12
Step-by-step explanation:
pls give me the crown pls
and i hope this helped you :)
Please tell me the letter of the answer
Answer:
C 37.5
Step-by-step explanation:
1 inch is 30 feet. so feet is 30 x [number of inches]. 30 x 1.25 = 37.5
ILL MARK BRAINLIEST!!! PLS HELP!!! A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
Step-by-step exlanation:
What you do is $18,000 x 5% which is 900 and then you do 900 x 10 = 9000!
On a certain day, the temperature outside dropped 5 degrees every hour for 4 hours. How much has it dropped after the 4 hours?
Answer:
OKay i did not get it but it should be 96 hours
Step-by-step explanation: