False cube root of 1 is plus 1 only.
Casey boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.6 radians per minute and has a radius of 50 feet. The center of the Ferris wheel is 55 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
a. Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
b. Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
Find the vertex of the graph of the quadratic function y=-2xto the 2-8x-16 and determine whether it is absolute maximum or absolute minimum
Answer: It's the absolute maximum, the vertex is (-2, -8).
Step-by-step explanation:
Just go to desmos graphing calculator and input the equation y = -2x^2-8x-16. You'll find the vertex and other things too.
Determine the area for the figure below.
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
Find the area and perimeter of the compound figure
.
What is the equation of the line that passes through point (3, −1) and has a slope of 2?
Answer:
y = 2x - 7
Step-by-step explanation:
Look at the image: This is how I solved the problem
Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?
ab(7a2 + 10ab + 14b2)
a2b(7 + 10b + 14b2)
7a2(b + 3b2 + 7b3)
7a2b3(b2 + 3b + 7)
(Freepoints)
[tex]{a}^{2} b \: (7 + 10 \: b + 14 \: {b}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]7 \: {a}^{2} b + 10 \: {a}^{2} {b}^{2} + 14 \: {a}^{2} {b}^{3} \\ = {a}^{2} b \: (7 + 10 \: b + 14 \: {b}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
...................have a great day!
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt. Which interval is the 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt
Answer:
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt.
This means that [tex]n = 352, \pi = \frac{92}{352} = 0.2614[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 - 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.2011[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 + 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.3217[/tex]
As percent:
0.2011*100% = 20.11%
0.3217*100% = 32.17%.
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an
arithmetic progression?
9514 1404 393
Answer:
m = 18
Step-by-step explanation:
In an arithmetic progression, the middle term of three is half the sum of the terms on either side.
a1 +a3 = 2(a2)
(m +9) +(2m +7) = 2(2m -1)
3m +16 = 4m -2 . . . . . . collect terms
18 = m . . . . . . . . . . . . . . add 2-3m
Jessica's teacher asked her to divide 5/8 of the box of crayons
among 10 classmates. How much of a box of crayons did
each one receive?
Answer:
Each classmate received 1/16
Step-by-step explanation:
5/8= 0.625
0.625 ÷ 10 = 0.0625
= 1/16
An expression is shown. Which one of the expressions below is equivalent?
Answer:
C
Step-by-step explanation:
work out the area of the shaded shape
Answer:
theres no photo :))) btw God bless you
PLEASE HELP WITH ALL OF THIS ASAP
Answer:
I cant see the question, sorry bro.
Calculate the volume of this prism.
please help fast, I will mark BRAINLIEST 10. Find the rule. *
Х
3
Y
5
6
4
6
8
10
O y = x + 1
O y = x + 2
O y = 2x - 1
O y = 2x
Answer:
the answer to the question is y=x+2.
Which function is a translation of the parent absolute value function?
A: f(x) = 2/1
B. f(x) = |x+61
C. f(x) = x1
D. f(x) = -4/41
Answer:
B. f(x) = | x + 61 |
Step-by-step explanation:
An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.
The only option with this indication is option B.
B. f(x) = | x + 61 |
This equation can be solved in two ways;
first; f(x) = - (x + 61)
second; f(x) = x + 61
PLS HELP!! need the answer asap
What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?
A wall has an area of 40 square feet. Its
height is 8 feet. Which equation could you
use to find its width?
what is 65 x 264 + 81 - 94
Answer: 17,147
Step-by-step explanation:
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
I need help asap
Do the following sides form a triangle?
25 cm
17 cm
42 cm
Answer:
no
explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side
Jill Accardo, M.D., maintains the accounting records of Accardo Clinic on a cash basis. During 2020, Dr. Accardo collected $142,600 from her patients and paid $55,470 in expenses. At January 1, 2020, and December 31, 2020, she had accounts receivable, unearned service revenue, accrued expenses, and prepaid expenses as follows. (All long-lived assets are rented.) January 1, 2020 December 31, 2020 Accounts receivable $9,250 $15,927 Unearned service revenue 2,840 4,111 Accrued expenses 3,435 2,108 Prepaid expenses 1,917 3,232 Instructions Prepare a schedule that converts Dr. Accardo’s “excess of cash collected over cash disbursed” for the year 2020 to net income on an accrual basis for the year 2020.
Answer and Step-by-step explanation:
The preparation of the schedule is presented below:
Jill Accardo, MD
Conversion of Income Statement
from Cash Basis to Accrual Basis
For the Year 2020
Particulars Cash Adjustments Accrual
Basis Add Deduct Basis
Revenue from
fees: $142,600
Mr. Russo exchanged 200 euros (European money) for 270 dollars. How many dollars would
he get for 300 euros?
Answer: 405 dollars
Step-by-step explanation:
200 * x = 270
x = 270 * 300/200. x =405 dollars
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
Using the distributive property, what number would go in the blank in order for the given statement to be correct? 4(x – _) = 4x – 16
Answer:
4(x - 4) = 4x - 16
Step-by-step explanation:
4(x - A) = 4x - 16
4x - 4A = 4x - 16
Equating Constant terms (terms without x): -4A = -16
A = 4
Therefore , 4(x - 4) = 4x - 16
The answer is 4.
In order to find the answer, divide 4 from the each number on the right side. You pull the 4 out from 4x, and 4 from 16 to arrive at 4(x - 4).
need help with PART A!!
Answer:
complementary angles
Step-by-step explanation:
Complementary angles add to 90 degrees
Supplementary angles add to 180 degrees
A right angle is 90 degrees so they are complementary angles
Which shape has the same area as this one?
PLease i need help ;-;
Answer:
purple and red has same area
Step-by-step explanation:
Area of purple = 4 x 4 = 16 square cm
Area of red = 2 x 8 = 16 square cm
Area of yellow = 3 x 5 = 15 square cm
Jade says that 8÷ 1/2 means the same thing as 1/2 of 8, so the answer is 4 do you agree
Answer:
no
Step-by-step explanation:
8÷ 1/2
Copy dot flip
8 * 2/1 = 16
Divide 8 things in half you get 16
1/2 of 8 = 1/2 * 8 = 4
Half of 8 things is 4
They are not the same
Answer:
8 ÷ 1/2 = 16
I disagree.
Step-by-step explanation:
8 ÷ 1/2
8 × 2/1
8 × 2
16
Find the exact value of x.
Answer:
7[tex]\sqrt{2}[/tex] or 9.89
Step-by-step explanation:
sin45= [tex]\frac{7}{x}[/tex]
x=[tex]\frac{7}{sin 45}[/tex]
x= 7[tex]\sqrt{2}[/tex] or 9.89