Answer:
The trace of the water left on the floor is 566 cm.
Step-by-step explanation:
The bicycle wheel has a circular shape, therefore;
1 revolution is the same as the circumference of the wheel. So that 3 revolutions is the same as multiplying the circumference of the wheel by 3.
circumference = 2[tex]\pi[/tex]r
where r is the radius of the wheel (r = 30 cm).
Thus,
circumference = 2 x [tex]\frac{22}{7}[/tex] x 30
= [tex]\frac{1320}{7}[/tex]
circumference = 188.57 cm
3 revolutions = 3 x 188.57
= 565.71 cm
Therefore, the trace of the water left on the floor is 566 cm.
An item costs S430 before tax, and the sales tax is $17.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Step-by-step explanation:
430
x4%
_________
$17.20+ $430= $447.20
a purchasing agent for kelly bread company wants to estimate the mean daily usage of rye flour. she takes a sample for 50 straight days and finds that the sample mean is 180 pounds with a sample standard deviation of 38.5 pounds. State the 90% confidence interval for the mean
Answer:
The 90% confidence interval for the mean is (170.87 , 189.13)
Step-by-step explanation:
Using the calculator we can easily calculate the 90% confidence interval for the mean, the given values are:
mean=180
sx : 38.5
n : 50
c - Level : 0.90
Then the output will be [170.87 , 189.13]
: A pack of crayon was shared between two friend Shantel and Carl in the ratio 3:5. If Shantel received 27 crayons, how many crayons were in the pack? *
Answer:
72 crayons
Step-by-step explanation:
8/3 × 27 = 72 crayons
what number is exactly halfway between 2.5 and 3.5
Answer:
3 is exactly halfway between 2.5 and 3.5.
Step-by-step explanation:
The first number is 2.5
The second number is 3.5
We need to find the number that is exactly halfway between 2.5 and 3.5. It can be calculated as follows :
[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]
Hence, 3 is exactly halfway between 2.5 and 3.5.
o
63°
Please helppppp
Answer:
27
Step-by-step explanation:
180 - 90 - 63 = 27
all angles in a triangle add up to 180 degrees
Find the nth term of the geometric sequence whose initial term is a1
= 0.5 and common ratio is 10
(Your answer must be a function of n.)
Answer:
Step-by-step explanation:
geometric progresion formula:
[tex]a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}[/tex]
Can someone help me with this question
Answer:
The two minimum numbers = 5, 5
Step-by-step explanation:
Let the first number = x
let the second number = y
Their sum: x + y = 10
Sum of their squares: = x² + y²
y = 10 - x
f(x) = x² + (10 - x)²
f(x) = x² + 100 - 20x + x²
f(x) = 2x² - 20x + 100
Find the derivative of f(x), to obtain the critical points;
f'(x) = 4x - 20
4x - 20 = 0
4x = 20
x = 5
The value of y is calculated as;
y = 10 - x
y = 10 - 5
y = 5
The two minimum numbers = 5, 5
A nurse mixes 90 cc of a 45% saline solution with a 10% saline solution to produce a 20% saline solution. How much of the 10% solution should he use?
Answer:
225cc
Step-by-step explanation:
the solution is attached to the picture.
The amount of the 10% solution should he use if the nurse mixes 90 cc of a 45% saline solution with a 10% saline solution is 225cc
Functions and percentagesLet the amount of 10% solution she should use be x.
If a nurse mixes 90 cc of a 45% saline solution with a 10% saline solution to produce a 20% saline solution, the equivalent equation will be:
90(0.45) + 0.1x = 0.2(90+x)
Simplify the resulting equation for "x"
40.5 + 0.1x = 18 + 0.2x
0.1x = 40.5 - 18
0.1x = 22.5
x = 225cc
Hence the amount of the 10% solution should he use if the nurse mixes 90 cc of a 45% saline solution with a 10% saline solution is 225cc
Learn more on proportion here: https://brainly.com/question/19994681
In the past year, Latoya watched 33 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what
percentage did she think were very good?
Answer:
55%
Step-by-step explanation:
Just do 33/60 and multiply by 100
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation
h =
- 6t2 + 6t where h is the frog's height in meters at any given time, t. Find the maximum height the frog reached
What is the value of x?
Answer:12
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
Answer:
Average rate of change = 5
Step-by-step explanation:
Average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Using this rule for the average rate of change of the function (defined by the table) over the interval 4 ≤ x ≤ 5,
Average rate of change = [tex]\frac{f(5)-f(4)}{5-4}[/tex]
From the table,
f(5) = 10
f(4) = 5
Therefore, average rate of change of the function = [tex]\frac{10-5}{5-4}[/tex]
= 5
Answer:
=5
Step-by-step explanation:
What function is represented in the graph
What percent of 50 is 44
Answer:
here u go
Step-by-step explanation:
88%
Answer:
88% of 50 is 44
Step-by-step explanation:
50x=44
x=44/50
x=0.88
Therefore, 88% of 50 is 44
A ladder is 74 inches tall. How tall is it in feet and inches?
Answer:1 inch = 0.0833333 feet so 74 x 0.0833333 = 6.16667
Step-by-step explanation:
A container holds 3.01 grams of
calcium powder for dogs. What is its
weight in centigrams?
Conv
3,010 cg
301 og
30.1 cg
0.0301 og
What is its weight in centigrams
Answer:
ur dog water kid *take the L dance
Step-by-step explanation:
cheese
Two and three fifths plus one and three fifths
Answer:
2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5
5 5
Step-by-step explanation: The Slashes mean The number bellow
Please make this answer Brainlist...
how many and what type of solution does 6x^2 -3x+ 5
Step-by-step explanation:
6x² -3x+ 5 =0
Discriminant = b²-4ac
D = 9 - 4(6)(5)
= 9 - 120
= -111
there is not real root solution
A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
Machine
Shift A B C
1 Observed 46 11 13
Expected 40.27933 14.07821 15.64246
2 Observed 37 10 11
Expected 33.3743 11.6648 12.96089
3 Observed 20 15 16
Expected 29.34637 10.25698 11.39665
a. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
b. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
c. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
d. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
(04.02 MC)
Segment AB falls on line 2x - 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
Answer:
A
Step-by-step explanation:
Factor the expression. x2 + 7x+ 10
Answer:
Make me a Brainlist plsStep-by-step explanation:
x²+7x+10=0
ur answer is there in image
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
tan C is 90
tan B is 60
tan A is 60
Fine the probability. I NEED THE STEPS IF POSSIBLE
Answer:
1/6x1/2=1/12
Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities
Answer:
Step-by-step explanation:
Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
✔ y = 160/x
What does the number 160 represent in the rational function that models the situation?
✔distance, in miles, between the cities
amount of fuel, in gallons, used by the train
time, in minutes, needed to travel between the cities
Answer: NOTE Pictures Are not in order! Make sure you check page number.
Step-by-step explanation:
On page 6 the answers are ”C” and ”5lbs”
On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.
On page 8 the answers are : < Just copy paste this below.>
“Based on the calculation, they should purchase the second television as the cost is cheaper.
Based on the information given in the question, the cost of the first television will be:
= $330 + ($14 × 8)
= $330 + $102
= $442
The cost of the second television will be:
= $369 + ($9 × 8)
= $369 + $72
= $441
Therefore, the second television is cheaper.”
^
<Just copy paste this. > [Then check. “A,B,C,”.]
On page 9 the answer is “ D “.
Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______
a) sec sqr Theta
b) Cot theta
c) cot (pie/2-Theta)
d) csc sqr theta
Answer:
[tex](a)\ \sec^2(\theta) = 82[/tex]
[tex](b)\ \cot(\theta) = \frac{1}{9}[/tex]
[tex](c)\ \cot(\frac{\pi}{2} - \theta) = 9[/tex]
[tex](d)\ \csc^2(\theta) = \frac{82}{81}[/tex]
Step-by-step explanation:
Given
[tex]\tan(\theta) = 9[/tex]
Required
Solve (a) to (d)
Using tan formula, we have:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
This gives:
[tex]\frac{Opposite}{Adjacent} = 9[/tex]
Rewrite as:
[tex]\frac{Opposite}{Adjacent} = \frac{9}{1}[/tex]
Using a unit ratio;
[tex]Opposite = 9; Adjacent = 1[/tex]
Using Pythagoras theorem, we have:
[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]
[tex]Hypotenuse^2 = 9^2 + 1^2[/tex]
[tex]Hypotenuse^2 = 81 + 1[/tex]
[tex]Hypotenuse^2 = 82[/tex]
Take square roots of both sides
[tex]Hypotenuse =\sqrt{82}[/tex]
So, we have:
[tex]Opposite = 9; Adjacent = 1[/tex]
[tex]Hypotenuse =\sqrt{82}[/tex]
Solving (a):
[tex]\sec^2(\theta)[/tex]
This is calculated as:
[tex]\sec^2(\theta) = (\sec(\theta))^2[/tex]
[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]
Where:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(\theta) = \frac{1}{\sqrt{82}}[/tex]
So:
[tex]\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2[/tex]
[tex]\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2[/tex]
[tex]\sec^2(\theta) = (\sqrt{82})^2[/tex]
[tex]\sec^2(\theta) = 82[/tex]
Solving (b):
[tex]\cot(\theta)[/tex]
This is calculated as:
[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]
Where:
[tex]\tan(\theta) = 9[/tex] ---- given
So:
[tex]\cot(\theta) = \frac{1}{\tan(\theta)}[/tex]
[tex]\cot(\theta) = \frac{1}{9}[/tex]
Solving (c):
[tex]\cot(\frac{\pi}{2} - \theta)[/tex]
In trigonometry:
[tex]\cot(\frac{\pi}{2} - \theta) = \tan(\theta)[/tex]
Hence:
[tex]\cot(\frac{\pi}{2} - \theta) = 9[/tex]
Solving (d):
[tex]\csc^2(\theta)[/tex]
This is calculated as:
[tex]\csc^2(\theta) = (\csc(\theta))^2[/tex]
[tex]\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2[/tex]
Where:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(\theta) = \frac{9}{\sqrt{82}}[/tex]
So:
[tex]\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2[/tex]
[tex]\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2[/tex]
[tex]\csc^2(\theta) = \frac{82}{81}[/tex]
What is the surface area of the prism shown below?
Your response should show all necessary calculations and diagrams.
Answer:
376 inches squared.
Step-by-step explanation:
Help pls it’s urgent. If your able to solve it than I’d really would appreciate you.
Answer:
Step-by-step explanation:
If the radius of the circle is equal to
[tex]\sqrt{\frac{A}{3} }[/tex] and the area is given as 45, then
[tex]r=\sqrt{\frac{45}{3} }[/tex] which simplifies to
[tex]r=\sqrt{15}[/tex] and to the nearest tenth,
r = 3.9
please answer both thanks
Answer:
Question 4 is B and Question 5 is C
Step-by-step explanation:
Question 4 is B because the DIFFERENCE between the two terms is 15 therefore when you subtract the terms it must equal 15 so B could no be an answer. Also since they both equal 24 they both add up to 24
This is the fourth one !
Answer and Step-by-step explanation:
Angle B' is congruent to Angle B.
The measure of an angle stays the same when dilating, translating, and other transformations.
#teamtrees #PAW (Plant And Water)
Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT
Answer:
The margin of error is of 20, option B.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds, divided by 2.
In this question:
Lower bound: 200
Upper bound: 240
Margin of error:
(240 - 200)/2 = 40/2 = 20
The margin of error is of 20, option B.