A lawn roller is 1 m wide and 80 cm high. What area is covered in each revolution
A quadrilateral has angle measures of 84°, 107°, and 58°.
What is the measure of the fourth angle?
Enter your answer in the box.
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot how high off the ground is the top of the ladder?
A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft
if Andy's home is worth 260,000, what is his coverage for personal property if insurance covers 50 percent?
Answer:
Amount covered by insurance = 130000
Step-by-step explanation:
Cost of Andy's home = 260000
Percentage covered by insurance = 50%
Amount covered by insurance = 50% of Cost of Andy's home
= 50% of 260000
= 0.50 * 260000 [50% written as a decimal is 0.50]
= 130000
If 30 fair dice are rolled find the approximate probability that the average number ofo dots is between 2 and 4
The probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
what is probability?Probability is the branch of mathematics that deals with the study of random events or phenomena. It involves the quantification of uncertainty and the measurement of the likelihood of occurrence of an event.
The average number of dots on a fair die is
= (1+2+3+4+5+6)/6
= 3.5.
We can model the sum of the numbers on the 30 dice as a normal distribution with mean
= (30)(3.5) = 105
and, standard deviation √(30)(35/12) ≈ 9.13.
Let X be the sum of the numbers on the 30 dice, and let Y be the average number of dots. Then Y = X/30.
We want to find P(2 ≤ Y ≤ 4). This is equivalent to P(60 ≤ X ≤ 120), since Y = X/30.
Using the normal distribution, we can standardize X to get:
Z = (X - 105) / 9.13
Then we can compute the probability as:
P(60 ≤ X ≤ 120)
= P[(60 - 105) / 9.13 ≤ Z ≤ (120 - 105) / 9.13]
≈ P(-4.93 ≤ Z ≤ 1.64)
Using a standard normal distribution table or calculator, we can find that P(-4.93 ≤ Z ≤ 1.64) ≈ 0.9441.
Therefore, the approximate probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
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A 4x4 matrix a with real entries and a4 = i, what are the possible characteristic polynomials of a
The cost function for Michelle's new clothing store where she sells T-shirts is C = $10.25n + 1125. What is the slope of the cost function for Michelle's new store? A. $1125.00
The slope of the cost function for Michelle’s new store is 10.25.
This is because this equation is in slope-intercept form, y=mx + b, where m is the slope and b is the y intercept. Despite the different variables in the above equation, the idea remains the same. The slope is the coefficient on the variable n, which represents the rate of change of this function.
Hope this helps!
Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square root of 12 D. fraction numerator square root of 64 over denominator square root of 4 end fraction
A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in.3.
The equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner.
What is the side length of the square that is cut from each corner, to the nearest inch?
Answer:
3 in
Step-by-step explanation:
Drag and drop the symbols to enter the equation of the circle in standard form with center and radius given. Center (5, -3), radius = 1
WILL MARK. THE BRAINLEST!!!
Trinh drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). She translated the figure 4 units left and 5 units up. What are the coordinates of the new figure?
(–4, 2), (–1, 2), and (–4, 0)
(–3, –2), (0, –2), and (–3, –4)
(–3, 3), (0, 3), and (–3, 1)
(1, 3), (4, 3), and (1, 1)
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, which of these expressions represents the value of the most money she can borrow?
The correct option is A.
Vanessa can borrow approximately $6255.57, represented by option A: [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex].
To determine the value of the most money Vanessa can borrow with a monthly payment of $1405 for a 20-year house loan with an APR of 4.8%, compounded monthly, we can use the formula for the monthly payment of a mortgage:
[tex]\[P = \frac{M}{\frac{r}{12} \left(1 - \left(1 + \frac{r}{12}\right)^{-nt}\right)}\][/tex]
Where:
P = Principal amount (the amount she can borrow)
M = Monthly payment ($1405)
r = Monthly interest rate (APR divided by 12, or 0.048/12)
n = Number of times the interest is compounded per year (12 for monthly)
t = Number of years (20)
Now, let's plug in the values and solve for P:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-12*20}\right)}\][/tex]
Let's calculate the exponent and simplify:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-240}\right)}\][/tex]
Now, we can simplify the monthly interest rate:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1.000333333\right)^{-240}\right)}\][/tex]
[tex]\[P = \frac{1405}{0.333333 \left(1 - 0.328624967\right)}\][/tex]
Now, let's calculate the value inside the parentheses:
[tex]\[P = \frac{1405}{0.333333 \times 0.671375033}\][/tex]
[tex]\[P \approx \frac{1405}{0.22487499}\][/tex]
Now, calculate P:
P ≈ 6255.57
So, Vanessa can borrow approximately $6255.57.
The correct expression that represents the value of the most money she can borrow is:
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
The complete question is here:
Vanessa can afford a [tex]$\$ 1405$[/tex]-per-month house loan payment. If she is being offered a 20-year house loan with an APR of [tex]$4.8 \%$[/tex], compounded monthly, which of these expressions represents the value of the most money she can borrow?
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
B. [tex]$\frac{(\$ 1405)\left((1-0.048)^{240}-1\right.}{(0.048)(1+0.048)^{249}}$[/tex]
C. [tex]$\frac{(\$ 1405)\left((1-0.004)^{200}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
D. [tex]$\frac{(51405)\left((1+0.048)^{200}-1\right)}{(0.048)(1+0.048)^{240}}$[/tex].
Using the formula for monthly loan payment, we find Vanessa can borrow up to $220,000 with a 20-year loan at 4.8% APR.
To find the maximum amount Vanessa can borrow, we can use the formula for the monthly payment of a loan:
[tex]\[ P = \frac{A \times r}{1 - (1 + r)^{-n}} \][/tex]
Where:
- P = monthly payment
- A = loan amount (the value we want to find)
- r = monthly interest rate (APR divided by 12)
- n = total number of payments (number of years multiplied by 12)
Given:
- Monthly payment ( P) = $1405
- APR ( r ) = 4.8% = 0.048
- Loan term = 20 years
First, we calculate r :
[tex]\[ r = \frac{4.8}{100 \times 12} = 0.004 \][/tex]
Then, calculate n:
[tex]\[ n = 20 \times 12 = 240 \][/tex]
Now, plug the values into the formula and solve for A:
[tex]\[ 1405 = \frac{A \times 0.004}{1 - (1 + 0.004)^{-240}} \][/tex]
Solve for A:
[tex]\[ A = \frac{1405 \times (1 - (1 + 0.004)^{-240})}{0.004} \][/tex]
[tex]\[ A \approx \$220,000 \][/tex]
So, Vanessa can borrow a maximum of $220,000.
The question probable maybe:
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, What is the value of the most money she can borrow?
Classify each polynomial and determine its degree. The polynomial 3x2 is a with a degree of . The polynomial x2y + 3xy2 + 1 is a with a degree of .
Answer:
The polynomial 3x2 is a
monomial
with a degree of
2
.
The polynomial x2y + 3xy2 + 1 is a
trinomial
with a degree of
✔ 3
.
Step-by-step explanation:
this the answer on the edge
The Correct Answer Will Get Brainliest.
Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the sun. How many kilometers away is it from the sun?
A: 4.15 x 10^8 km
B: 5.8 x 10^9 km
C: 54.21 x 10^6 km
D: 1.84 x 10^7 km
Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?
Need help with these 2 problems I’m pretty sure I got the first one right but I don’t know how to do the second one please and thank you!!
What is the area of the figure? The diagram is not drawn to scale.
The area of a 2D form is the amount of space within its perimeter. The area of the given parallelogram is 812 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure is a parallelogram, and the area of the parallelogram is given by the formula,
Area of parallelogram = Base × Altitude
= 29 in × 28 in
= 812 in²
Hence, the area of the given parallelogram is 812 in².
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What are the zeros of f(x) = x2 – 10x + 25?
A. x = –5 and x = 10
B. x = –5 only
C. x = –5 and x = 5
D. x = 5 only
The zeros of a function are also known as the roots of the function
The correct option for the zeros of f(x) = x² - 10·x + 25 is the option D.
D. x = 5 only
The reasons why the selected option is correct are given as follows:
The given equation is presented as follows;
f(x) = x² - 10·x + 25
Solution:
The zeros are the values of x when the equation is equal to zero which is given as follows;
x² - 10·x + 25 = 0
By observation, we have;
Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;
0 = x² - 10·x + 25 = (x - 5)·(x - 5)Which gives, either x = 5 , or x = 5Therefore, the zeros of the function is 5 only, and the correct option is option D.
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What is the area of this triangle? Enter your answer as a decimal. Round only your final answer to the nearest hundredth.
The answer is 4.6, confirming the other answerers.
Hope this helps, Kam
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes.
After about how many hours does the company break even?
Note: The phrase break even refers to the value where the two functions are equivalent.
1 h
5 h
2 h
10 h
The square root of the quotient of a number and 6 is 9. find the number
A number from 1-100 is randomly selected. What is the probability that it is a perfect square, given that is an odd number?
A Student said the volume of a cylinder with a 3-inch diameter is two times the volume of a cylinder with the same height and a 1.5-inch radius. What is the error?
A book shelf is 14 inches wide there is enough space to fit 2 trophies one trophy is 2inches wider than the other how wide is the wider trophy
Last week Jackson read 262.5 pages of a new adventure book. If he read for 5.25 hours how many pages did Jackson read per hour?
Answer: 50 pages per Hour
Step-by-step explanation:
What is the area of a regular octagon with an apothem 16 inches long and a side 19 inches long? round the answer to the nearest inch?
Which summation formula represents the series below? 12 – 24 + 48 – 96
Answer: B
Step-by-step explanation:
What is the standard deviation of the following data set rounded to the nearest tenth?
51.8, 53.6, 54.7, 51.9, 49.3
A.3.4
B.3.3
C.1.9
D.1.8
Answer:
1.8
Step-by-step explanation:
How many cubes are needed to build this structure?
8
7
10
9
Answer:
Option A. 8 cubes
Step-by-step explanation:
In the given structure we can count the cubes by dividing the figure in three sub parts.
Two in L shape and one below on L shape figure.
Two L shape figure contains 2×3 = 6 cubes
Cubes hidden under one L shape = 2
Then total cubes = 6 + 2 = 8
Option A. 8 cubes is the answer.