Answers
Hey there! :)
Answer:
≈ $41330
Step-by-step explanation:
Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.
Calculate the areas of the circles using: A = πr²
Larger circle:
A = π145²
A = 21025π = 66018.5 ft²
Smaller circle:
A = π80²
A = 6400π = 20096 ft²
Subtract the smaller from the larger of the areas:
66018.5 - 20096 = 45922.5 ft²
Divide this by 100 to solve for the amount of asphalt needed:
45922.5 / 100 = 459.225.
Since asphalt costs $90 dollars per 100 ft², then:
459.225 · 90 = $ 41330.25 ≈ $41330 rounded.
Related Questions
The freezing point of methanol is -97.6. What is the freezing point of methanol in Fahrenheit
Answers
Answer:
-143.68°F
Step-by-step explanation:
Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32
Simply plug in c as -97.6:
F = 1.8(-97.6) + 32
F = -175.68 + 32
F = -143.68
Answer:
Fahrenheit= Celsius x 1.8 + 32
Step-by-step explanation:
-97.6 x 1.8 = -175.68
-175.68 + 32 = -143.68 / -143.7
Find the vector x determined by the given coordinate vector [x]B and the given basis B.
B = {[1 -3 1], [-3 8 3],[8 -2 3]}, [x]_B = [-3 -2 3]
a. [9 -13 0]
b. [0 -6 21]
c. [13 -24 -2]
d. [3 -13 16]
Answers
yall know the drill . whats the answer
Answers
Answer:
C. 57 degrees.
Step-by-step explanation:
It's a line, so it adds to 180 degrees. The interior angle is 180 - 114 = 66 degrees.
A triangle adds up to 180 degrees. Subtract 66 to get 114 degrees. This means the two remaining angles in the triangle add up to 114 degrees. Since they are identical (both are the same because they use the same variable), you can divide 114 by two.
The final answer is 57 degrees.
Let me know if you have any questions.
Explanation:
Since the line is 114 we can divide by 2 to get the answer. So 57+57=114 or 57*2=114
help help help help pls
Answers
Hi !!
For f(x) = 3/x + 4 , B is correct.
• f(-3) = 3/(-3) + 4
f(-3) = - 1 + 4
f(-3) = 3
• f(-2) = 3/(-2) + 4
f(-2) = -1,5 + 4
f(-2) = 2,5
• f(1) = 3/(1) + 4
f(1) = 3 + 4
f(1) = 7
• f(2) = 3/(2) + 4
f(2) = 1,5 + 4
f(2) = 5,5
• f(3) = 3/(3) + 4
f(3) = 1 + 4
f(3) = 5
Use the formula A=P(1+r)" to solve the following problem.
Find the rate r at which $500,000 grows to $708,050 in 2 years.
Answers
Answer:
r= 0.19
Step-by-step explanation:
A= $708,050
P=$500,000
'' = 2
$708,050= $500,000(1+r)^2
-Divide $500,000 by both sides
1.4161= (1+r)^2
-Square Root on both sides
1.19= 1+r
-Subtract 1 on both sides
r= 0.19
A company has developed a new type of light bulb, and wants to estimate its mean
lifetime. A simple random sample of 12 bulbs had a sample mean lifetime of 665
hours with a sample standard deviation of 59 hours. It is reasonable to believe that
the population is approximately normal. Find the lower bound of the 95% confidence
interval for the population mean lifetime of all bulbs manufactured by this new
process.
Round to the nearest integer. Write only a number as your answer. Do not write any
units.
Answers
Answer:
628
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 12 - 1 = 11
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.
The answer is 628
Determine if the given function can be extended to a continuous function at xequals0. If so, approximate the extended function's value at xequals0. If not, determine whether the function can be continuously extended from the left or from the right and provide the values of the extended functions at xequals0.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is A
Step-by-step explanation:
Now from the question we are given the function
[tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]
Now as [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]
=> [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]
This implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at x = 0 the function is not continuous
A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair utilizes 30 sq. ft. At least five sofas and at least five chairs are to be displayed.
a. Write a mathematical model representing the store's constraints.
b. Suppose the profit on sofas is $200 and on chairs is $100. On a given day, the probability that a displayed sofa will be sold is 0.03 and that a displayed chair will be sold is 0.05. Mathematically model each of the following objectives:
1. Maximize the total pieces of furniture displayed.
2. Maximize the total expected number of daily sales.
3. Maximize the total expected daily profit.
Answers
Answer:
a) 50S + 30C ≤ 800
b) 1) MAX = S + C
2) Max = 0.03S + 0.05C
3) Max = 6S + 5C
Step-by-step explanation:
Given:
Total space = 800 square feet
Each sofa = 50 square feet
Each chair = 30 square feet
At least 5 sofas and 5 chairs are to be displayed.
a) Write a mathematical model representing the store's constraints:
Let S denote number of sofas displayed and C denote number of chairs displayed.
The mathematical model will be:
50S + 30C ≤ 800
At least 5 sofas are to be dispayed: S ≥ 5
At least 5 chairs are to be displayed: C ≥ 5
b)
1) Maximize the total pieces of furniture displayed:
S + C = MAX
2) Maximize the total expected number of daily sales:
MAX = 0.03S + 0.05C
3) Maximize the total expected daily profit:
Given:
Profit on sofas = $200
Profit on chairs = $100
Max Expected daily profit =
Max = (200S * 0.03) + (100C * 0.05)
Max = 6S + 5C
HELP PLEASE!!!! I NEED HELP ASAP Which statement best describes the expression 3 + y ÷ 2? The quotient of 2 and the sum of 3 and y The quotient of the sum of 3 and y, and 2 The sum of 3 and the quotient of 2 and y The sum of 3 and the quotient of y and 2
Answers
Answer:
I believe it is D
Answer:
The sum of 3 and the quotient of y and 2.
Step-by-step explanation:
The order of operations requires that you evaluate the expression ...
3 + y ÷ 2
by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.
The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.
So, the expression can be described as ...
the sum of 3 and the quotient of y and 2.
Which of the following fractions will convert to terminating decimals?
A.5/6
B. 5/2
C. 5/6
D. 5/3
E. 3/8
Answers
Answer:
B and E
Step-by-step explanation:
A terminating decimal is a decimal with a finite number of digits after the decimal point. If we input all of these fractions into a calculator, or solve them by hand, we find that B is equal to 2.5, and E is equal to 0.375, and all the others are repeating decimals.
Suppose E(X) = 5 and E[X(X-1)] = 27.5. What is E(X2)? V(X)? The general relationship among the quantities E(X), E[X(X-1)], and V(X)?
Answers
Answer:
[tex]E(X^2)=32.5\\V(X)=7.5\\E[X(X-1)]=E(X^2)-E(X)\\V(X)=E(X^2)-[E(X)]^2[/tex]
Step-by-step explanation:
We have the following properties:
[tex]E( X + Y ) = E(X) + E(Y)\\V(X) = E(X^2)-[E(X)]^2[/tex]
So, if we have that E[X(X-1)] = 27.5, we can write them using the first property as:
[tex]E(X(X-1))=27.5\\E(X^2-X)=27.5\\E(X^2)-E(X)=27.5[/tex]
Then, replacing E(X) by 5 and solving for [tex]E(X^2)[/tex], we get:
[tex]E(X^2)-5=27.5\\E(X^2)=27.5+5\\E(X^2)=32.5[/tex]
Finally, using the second property and replacing [tex]E(X)[/tex] by 5 and [tex]E(X^2)[/tex] by 32.5, we get that V(X) is equal to:
[tex]V(X) = 32.5 - 5^2\\V(X) =32.5 - 25\\V(X) = 7.5[/tex]
distribution of grades over the past two years is as follows: GRADE NUMBER OF STUDENTS A 80 B 75 C 90 D 30 F 25 Total 300 If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course
Answers
Answer:
The probability of a student receiving a C in the course is p=0.3.
Step-by-step explanation:
We have a absolute frequency for each of the grades (A to F), of a total of 300 course tests.
It is assumed that this sample gives a dood estimation of the distribution of the grades. Then, we can estimate the probability of obtaining a C in the course usign the relative frequency for C.
The relative frequency is calculated as the division between the absolute frequency (in this case, 90 for a C grade) and the size of the sample (in this example, 300).
[tex]p_C=\dfrac{X_C}{N}=\dfrac{90}{300}=0.3[/tex]
What is the volume of a cone with radius 7 cm and height 11 cm? Round your answer to two decimal places.
Answers
Answer:
D. 564.44 cm^3
Step-by-step explanation:
V = (1/3)(pi)r^2h
V = (1/3)(3.14159)(7 cm)^2(11 cm)
V = 564.44 cm^3
Which inequality is represented by the graph?
Answers
Answer:
y ≤ 2/5x - .5
Step-by-step explanation:
Well it is a solid line with it shaded down meaning the inequality starts with
y ≤,
And by look at the y axis we can tell that the line crosses the y axis at -.5 which is the y intercept.
And by looking at the line we can tell the slope is 2/5.
Hence, the inequality is y ≤ 2/5x - .5
Is (0,-2) a solution of 3x - y = 2?
Answers
Answer:
yes, (0,-2) is the answer when graphing this equation.
Step-by-step explanation:
Answer:
yes.
Step-by-step explanation:
Find the critical value z Subscript alpha divided by 2 that corresponds to the confidence level 90%.
Answers
Answer:
,.........................................................
1. The graph shows the number of miles Peter's car traveled and the gallons of gas used.
MILEAGE OF PETER'S CAR
160
140
120
100
Milco Traveled
BO
(5, 1201
60
40
20
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
slope =¥
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas?
A. d = 169
B. d=209
cd=249
D. d = 309
Slzo
28
10
Answers
Answer:
C. d = 24g
Step-by-step explanation:
The problem boils down to determining the ratio between d and g. That is, for some equation ...
d = k·g
we want to determine the value of k. Solving the equation for that value, we find ...
k = d/g
So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.
(gallons, miles) = (g, d) = (5, 120) is a suitable point
Then ...
k = d/g = 120/5 = 24
The equation is d = 24g.
y=x2+3x+1 has how many real roots?
Answers
Answer:
2
Step-by-step explanation:
we will find the discriminant of the equation
d = b^2 - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)
d = 9 - 4
d = 5
since d > 0, the roots are real and different
hence, the both the roots of this equation are equal
Thirteen cards numbered 1,...,13 are shuffled and dealt one at a time. Say a match occurs on deal k if the kth card revealed is card number k. Let N be the total number of matches that occur in the thirteen cards. Determine E[N].
Answers
Answer:
E[N] = 1
Step-by-step explanation:
Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "
_____
Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -
There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1
_____
Solution: E[N] = 1
calculate find the area f a rectangle measuring 25 feet long by 8 feet wide
Answers
Answer: 200 ft²
Step-by-step explanation:
The area of a rectangle is length times width
So, simply do 25 * 8 = 200
Hey there! :)
Answer:
A = 200 ft².
Step-by-step explanation:
Use the formula A = l × w to determine the area of a rectangle:
A = 25 × 8
Multiply:
A = 200 ft².
Which scenario can be modeled using the graph below? A temperature range is within 5 degrees of 60 degrees Fahrenheit. A scientist uses more than 55 and less than 65 mL of water in an experiment. A commuter train takes less than 55 minutes or more than 65 minutes to complete one route. A worker makes greater than $55 per day but less than $65 per day.
Answers
Answer:
A temperature range is within 5 degrees of 60 degrees Fahrenheit
Step-by-step explanation:
As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees
Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65
Answer:
the answer is A
Step-by-step explanation:
i did the test
3
Select the correct answer.
What are the solutions to this equation?
16x² + 9 = 25
Answers
Answer:
Step-by-step explanation:
16x^2 + 9 = 25
16x^2 = 16
x^2 = 1
x = 1, -1
A piece of paper graph y=-3x-2
Answers
Answer:
Use an xy chart and graph the equation.
Step-by-step explanation:
A Semi-circle sits on top of a rectangle to form the figure below. Find it’s area and perimeter. Use 3.14 for Pie.
Answers
Answer:
B
Step-by-step explanation:
Area of semicircle=(r^2×3.14)/2
=(4×3.14)÷2
=6.28
area of rectangle=3×4
12+6.28=18.28
perimeter of semicircle is =(d×3.14)/2
=4×3.14/2
6.28+3+3+4
6+10
perimeter=16.28
The area & perimeter of the figure are,
B.) A≈18.28sq.inch & P≈16.28inch.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here,
Area of semicircle=(r^2×3.14)/2
=(4×3.14)÷2
=6.28
area of rectangle=3×4=12
So, total area of the figure =12+6.28=18.28 sq. inch
Again, perimeter of semicircle is =(d×3.14)/2
=4×3.14/2
=6.28
Total perimeter of the figure =6.28+3+3+4
=6.28+10
perimeter=16.28 inch
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
An adult has a total of about 22.5 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2). Round your answer to the nearest hundredth. Do not type the units in the space below.
Answers
Answer:
There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.
What is a quadrilateral and give ten examples
Answers
Answer:
A quadralateral is any shape that has 4 sides ...
Step-by-step explanation:
rectangle
square
rhombus
Answer: A quadrilateral is a two dimensional shape(closed) with four sides.
Step-by-step explanation: The sides do not have to be equal.
Square
Rectange
Trapazoid
Diamond
Any four sided shape. They will classify as a quadrilateral as long as two of the shapes are not the same.
Easy geometry just find area shade boxes thank you plz help
Answers
Answer:
45 square units
Step-by-step explanation:
To figure out the area of a trapezoid, the formula is. A= (b1 + b2)h ÷2 . b1 is the top side which is 7 units and b2 is the bottom side which is 11 units. The height (h) is a vertical line going from the top to the bottom which is 5 units. All you need to do now is plug in those numbers and solve the equation.
Answer: 45 square units
Step-by-step explanation:
This shape can be broken down into two diffrent peices
The first peice is the rectangle
The second peice is the triangle
And both of these peices area's added together will yeild the total area
The rectangle is 7 units long and 5 units high, so it has an area of (7X5) = 35
The triangle is a little bit more complicated, it's formula is (BaseXHeight)/4
So all we need to do is plug in The base of the triangle = 4
And the Height of the trianlge = 5
So the triangles area is... (4X5)/2= 10
35+10=45 square units
4. After paying 9 dollars for the pie, Alyssa has 50 dollars left. How much money did she have before buying the pie?
Answers
Answer:
Step-by-step explanation:
59 dollars
Answer:
59 dollarshere,
Left dollars+ paid dollars
= 50 dollars +9 dollars
=59 dollars
Hope this helps...
Good luck on your assignment..
In January of 2002(group 1),700 out of the 1700 spots were bare ground (no vegetation). Find the sample proportion of bare ground spots.
Answers
Answer:
The sample proportion of bare ground spots is 0.4118
Step-by-step explanation:
The sample proportion of bareground spots is the number of bareground sports divided by the number of spots.
In this question
700 bareground spots
1700 spots
7/17 = 0.4118
The sample proportion of bare ground spots is 0.4118
Given data:
x = 700n = 1700The formula will be:
→ [tex]Sample \ proportion = \frac{x}{n}[/tex]
By substituting the given values, we get
[tex]= \frac{700}{1700}[/tex]
[tex]= 0.4118[/tex]
Thus the response above is correct.
Learn more about sample proportion here:
https://brainly.com/question/17037417
I NEED HELP ASAP, THANKS! :)
Answers
Answer:
Last option
Step-by-step explanation:
Since it is asking for the limit of infinity, when we go to infinity, the graph also goes to infinity.
Answer:
Option D
Step-by-step explanation:
all lines are going from negative infinity to positive infinity