Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
Given the following data;
Diameter of wheel = 11 inches
[tex] \pi = 3.14[/tex]
Cost of wheel = $21.35
[tex] Radius, r = \frac {diameter}{2} [/tex]
[tex] Radius, r = \frac {11}{2} = 5.5 \; inches [/tex]
Part A
To find the area;
We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;
[tex] Area, A = \pi r^{2} [/tex]
Substituting into the equation, we have;
[tex] Area, A = 3.14 * 5.5^{2} [/tex]
[tex] Area, A = 3.14*30.25[/tex]
Area, A = 94.99 in²
Part B
To find cost per square inch;
[tex] Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel} [/tex]
[tex] Cost \; per \; square \; inch = \frac {21.35}{94.99} [/tex]
Cost per square inch = $0.23
Which does not represent two equivalent expressions?
A.) a + b = b + a
B.) 5(x + 3) = 5x + 15
C.) a + (b + c) = (a + b) + c
D.) 6(c + 2)= 6c + 2
Answer:
Step-by-step explanation:
THE CHOICE D is not equivalent
6(c+2)=6c+12
Victor wants to purchase a perpetuity paying 100 per year with the first payment due at the end of year 11. He can purchase it by either: (i) paying 90 per year at the end of each year for 10 years; or i) payıng K per year at the end of each year for the years and nothing for the next 5 years. Calculate K
Answer:
K = 151.9422481
Step-by-step explanation:
At the end of year 10, your perpetuity is worth 100/i
(1) is worth 90×s_{10%i}
So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937
So now the question compare (1) to (2), at t = 0
(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743
(2) is worth K×a_{5%i} = 4.018264714×K
Therefore K = 151.9422481
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Answer:
Mei descends faster
Mei's height decreases 5ft every second
Victor's height decreases 3.33 ft every second
Step-by-step explanation:
Given
Mel
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
Victor
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
Required
Who descend faster?
To do this, we simply calculate the slope/rate of both individuals
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Mei:
[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
[tex]m_1 = \frac{35 -50}{5 - 2}[/tex]
[tex]m_1 = \frac{-15}{3}[/tex]
[tex]m_1 = -5[/tex]
Mei descends at 5ft per second
For Victor:
[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
[tex]m_2 = \frac{50-60}{4 - 1}[/tex]
[tex]m_2 = \frac{-10}{3}[/tex]
[tex]m_2 = -3.33[/tex]
Victor descends at 3.33ft per second
By comparison:
Mei descends faster
Answer:
Mel: -5, 5
Victor: -10/3, 10,3
Edge 2021
- I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST) Reporting trolls ( reports=points loss)
Answer:
converse 3
contrapositive 1
inverse 2
conditional statement 4
Answer:
i dont know
Step-by-step explanation:
you got me good just sayian
(pls dont report i beg)
Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor
Answer:
0.83193
Step-by-step explanation:
Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3
Sample size; n = 5
We want to find the probability the probability that at least one does not have the Rh factor.
This will be;1 - P(X < 1)
This is a binomial probability distribution. Thus;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
P(X < 1) = P(X = 0)
Thus;
P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)
P(X = 0) = 1 × 1 × 0.16807
P(X = 0) = 0.16807
Thus;
1 - P(X < 1) = 1 - 0.16807 = 0.83193
Integer farthest from 0
select all the rational numbers
Answer:
B and D
Step-by-step explanation:
Answer:
B and d hope it helps
Step-by-step explanation:
hope it helps
So, the value of 3 in 2,304 is_
times the value of 3 in 16,135.
Answer:
10 times
Step-by-step explanation:
The first number is 2,304 and other number is 16,135.
The value of 3 in 2,304 is 300 and the value of 3 in 16,135 is 30.
[tex]\dfrac{\text{The value of 3 in 2,304 }}{\text{The value of 3 in 16,135}}=\dfrac{300}{30}\\\\=10[/tex]
It means that, the value of 3 in 2,304 is 10 times the value of 3 in 16,135.
is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?
what was the answer I’m on the same one
Write -9/50 as a decimal number?
Answer: -0.18
Step-by-step explanation:
-9/50 is the same as -18/100. negative eighteen hundredths. so we write it as -0.18, because that fills into the hundredths place
Answer:
-0.18
Step-by-step explanation:
The rectangular front windshield of the bus has the length of 1.5√3 m and the width of 1.5 m . The wipers are attached to the bottom corners. If the length of each wiper is equal to the width of the windshield, find the percentage of the windshield that wipers can reach.
(Solve this task without using Trigonometry)
See the attached sketch. From their respective corners, each wiper sweeps out a portion of the total area of the windshield equal to the area of a quarter-circle with radius 1.5 m (shaded green), and they overlap in a half-lens-shaped region (shaded red). The area that the wipers together cover is equal to the sum of the green areas minus the area of the red overlap. It's easy to see that this red area is equal to the area of the highlighted circular segment (bordered in blue).
Not sure how exactly you can avoid finding the area of the segment without resorting to trigonometry, though... The radii AC and AD form an angle θ such that the segment has area
1/2 (1.5 m)² (θ - sin(θ))
but you can avoid mentioning the sine function by writing it as
1/2 (1.5 m)² (θ - √3/2)
which follows from
sin(θ) = 2 sin(θ/2) cos(θ/2) = 2 ((BD/2)/AB) ((AC/2)/AB)
and the fact that BD has length equal to the radii, since by the Pythagorean theorem
(AC/2)² + (BD/2)² = AB²
(whether this theorem falls under trigonometry is also up for debate)
You would need trig to find the measure of the angle θ as well, unless you just take for granted the fact that a triangle with side lengths 1.5√3/2, 1.5/2, and 1.5 (i.e. AC/2, BD/2, and AB), since they occur in a ratio of √3 : 1 : 2 is a 30°-60°-90° triangle, so that θ = 60° = π/3 rad.
At any rate, the percentage is about (2×(quarter-circle area) - (segment area))/(rectangle area) = 85.46%, since
• area of rectangle = (1.5 √3 m) • (1.5 m) ≈ 3.897 m²
• area of quarter-circle = π/4 (1.5 m)² ≈ 1.767 m²
• area of segment = 1/2 (1.5 m)² (π/3 - √3/2) ≈ 0.204 m²
Answer:
≈ 85.46%Step-by-step explanation:
Refer to attached
The area of coverage is the sum of two sectors of 60° and a triangle.
Find each area and calculate the percentage of covered region
Rectangle area:
A = 1.5*1.5√3 = 9√3/4 ≈ 3.8971Triangle height
h = √1.5² - (1/2*1.5√3)² = √1/4*1.5² = 1.5/2 = 3/4Since h is half of the hypotenuse, the opposite angle is 30°This leaves each sector 60°Triangle area
A = 1/2*1.5√3*3/4 = 9√3/16 ≈ 0.9742Sectors' area
A = 2*1/6*πr² = 1/3π(1.5)² = 3π/4 ≈ 2.3561Area covered by wipers
A = 0.9742 + 2.3561 = 3.3303Percentage of covered region:
3.3303/ 3.8971*100% ≈ 85.46%Solve and check: ½ (c – 24) + 2/3c = 9
a) c = 18
b) c = 126
c) c = 1 1/6
d) c = 17
True or False: If f(x) = -3x^3 + 2(x + 2), then f(-2) = 24
Answer:
True
Step-by-step explanation:
When you plug in -2 for the x-values, it should be like this -3(-2)^3 + 2((-2)+2). When using the method of PEMDAS, you want to do the parentheses/exponents first since it is in order. -2 to the power of 3 is -8 for this case. Distribute 2 in -2 and 2 to get -4 + 4. Obviously. they will cancel in which you are left with -3(-8). Two negatives multiplied together equals a positive, so your final answer should be 24, in this case it is true.
Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.
Answer:
Ellie is gas.
Step-by-step explanation:
Inequality statement: Ellie is not equal to gas, yet she is all about gas.
You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years
The amount is $7327.49 and the interest is $1327.49.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
After plugging the given information we have
Four movie tickets cost $26. How much do seven movie tickets cost?
Answer:
45.5
Step-by-step explanation:
pls help me I don't understand
Answer:
Domain (6, 9) Range (-5, 3)
Step-by-step explanation:
The domain is your x-values while your range is your y-values. For this particular relation your domain ranges from 6 to 9 given the fact that there are 3 numbers with x-values and your range is from -5 to 3 given the fact that there are 3 numbers with y-values.
Apply the distributive property to factor out the greatest common factor.
25p + 50q =
Answer:
25(p+2q)
Step-by-step explanation:
The GCF is 25, so factor out 25 and you have 25 (p + 2q)
Complete the following statement. Percent is a fraction where parts make one whole.
Answer:
Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A percentage is a fraction whose denominator is 100, or how many parts make one whole.
What is percent?A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. The word "per 100" means "per percent." The number "%" is used to symbolize it.
For given statement
A fraction with 100 as the denominator is called a percent.
Thus, a whole is made up of 100 parts. The percentage represents the number of relevant parts out of a total of one hundred.
For instance, 10% is represented by the decimal number 0.10 or the fraction 10/100.
Similarly, the decimal equivalent of 25% is 0.25, or the fraction 25/100.
Because 100/100 equals 1, 100% corresponds to the number 1.
Hence the statement is Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
Learn more about percent;
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The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
solution to the inequality?
O x=-4 and x=2
Ox=-5 and x =3
O x=-5, x = 0, and x = 3
O x=-4, X = 0, and x = 2
Answer:
C on EdgE
Step-by-step explanation:
2020
The required possible set of test points that includes all three intervals is x=-5, x=0, and x=3. Option C is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The set of points that can be tested to find a complete solution to the rational inequality are x=-5, x=0, and x=3. This is because the critical points divide the number line into four intervals, and one test point in each interval is needed to determine the sign of the rational function in that interval. Since there are three intervals, we need three test points. One possible set of test points that includes all three intervals is x=-5, x=0, and x=3.
Learn more about inequality here:
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The price yesterday was $120 today it is $54 what is the percentage decrease.
Answer:
66
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
120-54=66
This means that the price decreased by 66
66/120 = 0.55
This means that the percentage of decrease is 55%
On April 15, 2015, Jorge buys 10 shares of Bling-Bling Inc. stock at a price of $450 per share. The share price of Bling-Bling increases to $600 on July 15, 2015. What is the percentage increase in the value of Jorge’s shares rounded to the nearest percent?
25%
33%
45%
67%
Answer:
33%
Step-by-step explanation:
Tell me if I'm wrong. :) And hope this helps.
Algebra 2
L.6 Evaluate polynomials using synthetic division CHC
If g(y) = 6y? + 8y - 9, use synthetic division to find g(1).
Submit
Write a polynomial that represents the area of the square 7n-5, plz help, thank you!
Answer:
49n² - 70n + 25
Step-by-step explanation:
Area of a square = s²
Where,
s = side length = 7n - 5
Area of the square = (7n - 5)²
= (7n - 5)(7n - 5)
= 7n(7n - 5) -5(7n - 5)
= 49n² - 35n - 35n + 25 (distributive property of equality)
Add like terms
Area = 49n² - 70n + 25
Find the sum or difference
(4y+3)-(y-2) do help me pls i can't remember how to do these
Answer:
3y + 1
Step-by-step explanation:
(4y + 3) - (y - 2)
*subtract y from 4y because like terms must be combined*
3y + 3 - 2
*subtract 2 from 3*
3y + 1
Please welp more points!!!!
Nonrenewable energy resources include fossil fuels and nuclear power. What characteristics do all nonrenewable energy resources have in common?
I. They create some form of pollution as a byproduct.
II. They will eventually run out if they are continually used.
III. They formed from long-dead organisms.
IV. They can be used in most environments.
A. I, II, and IV only
B. I, II, III, and IV
C. II only
D. I and II only
Answer:
B) I, II, III, and IV
Step-by-step explanation:
Jason bought 7 new baseball trading cards to add to his collection. The next day half of his collection. There are now only 30 cards left.
Answer:
8 cards
Step-by-step explanation:
Work Backwards:
30/2 is 15
15-7 is 8.
Hope this helps :D
Answer:
Step-by-step explanation:
Let x be the number of cards Jason had initially in his collection.
"Jason bought 9 new baseball trading cards to add to his collection"
x
+
9
is the equation because
x
is the initial number of cards he has and he bought another 9
"His dog ate half of his collection"
1
2
(
x
+
9
)
because
x
+
9
is what he had before his dog ate his cards and since his dog ate half, there is a
1
2
added to the equation
"42 cards left"
1
2
(
x
+
9
)
=
42
Since his dog ate half, he is left with half of his initial card collection.
x
+
9
=
42
×
2
x
+
9
=
84
x
=
84
−
9
x
=
75
34.65 divided by 1.5
where are my taurus’s At??
Answer:
im a scorpio but my sister in law is a taurus... :)
Step-by-step explanation:
Answer:
RIGHT HERE
Step-by-step explanation:
I need help Please. the question in photo
Answer:
C
Step-by-step explanation:
Since Δ ABC is isosceles , then AB = AC and the base angles are congruent.
∠ ACB = [tex]\frac{180-50}{2}[/tex] = [tex]\frac{130}{2}[/tex] = 65°
∠ ACB and ∠ BCE are adjacent angles and are supplementary, thus
∠ BCE = 180° - 65° = 115° → C