Part (a):
The circumference of the circle can be determined as,
\(\begin{gathered} C=2\pi r \\ =2\times3.14\times46\text{ cm} \\ =288.88\operatorname{cm} \end{gathered}\)Thus, the circumference of the circle is 288.88 cm
The area of the circle can be determined as,
\(\begin{gathered} A=\pi r^2 \\ =3.14\times(46)^2 \\ =6644.24cm^2 \end{gathered}\)Thus, the required area of the circular mirror is 6644.24 square centimeters.
Part (b):
When the mirror's glass is replaced its area is measured.
Part (c):
When the silver wire is placed around the mirror its circumference is measured.
What number is bigger 3/4 or 0.75
Answer:
they are the same.
Step-by-step explanation:
Answer:
they are equal
Step-by-step explanation:
3/4 is the same thing as 0.75
Evaluate -5a if a = -4
a: 20
b: -20
c: -9
d: 9
Answer:
The answer is A 20!
Step-by-step explanation:
Hope This Helps
Have A Great Day
There is one way that 100005 can be written as a sum of two prime numbers. Which two prime numbers add up to 100005?
The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.
How to find the prime numbers ?To find the two prime numbers, the relevant relationship would be the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.
So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.
The other number would therefore be:
= 100005 - 2
= 100003
100003 is a prime number so the two prime numbers are 2 and 100003.
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-2 x + 4 =2 x - 4 solve .
Answer:
\(\sf{x = 2}\)
Step-by-step explanation:
Question type: solving equations with variables on both sides.
\(\textsf{This is a question with variables on both sides, to solve this we need to get the variable x }\)
\(\textsf{alone. (getting the x on one side)}\)
--------------------------------------------------------------
\(\sf{-2x~+~4~=~2x~-~4\)
Subtract 4 from both sides.
\(\sf{-2x~=~2x~-8\)
Subtract 2x from both sides.
\(\sf{-4x~=~-8}\)
Divide both sides by -4.
\(\bf{x~=~2\)
Therefore, x would be 2.
\(-jurii\)
Answer:
x=2
Step-by-step explanation:
Find the midpoint (1,2)(8,-9)
Answer:
(4,5)
Step-by-step explanation:
Given p(x)= 3x+1 and r(x)= 2x^2+5 which of the following represents the composition p(r(x)) ?
Step-by-step explanation:
substitute the values
px=3x+1
=(3x+1)/x
=3x/x +1/x
=3+1/x
rx=2x²+5
p(r(x)) =(3+1/x(2x²+5))
=6x²+15+2x²/x+5/x
=3(2x²+5)+1/x(2x²+5)
=(2x²+5)(3+1/x)
2) A scuba diver descends to a location that is -12 1/3 m relative to sea level. He then descends another 8 1/4 M. What is the scuba divers final location relative to sea level.
NUMBERS ONLY
Answer: -20 7/12
Step-by-step explanation: Hope this helps!
can someone help me?
If point (4, 5) is on the graph of a function, which equation must be true?
Answer:
C. f(4)=5
Step-by-step explanation:
I got it right on EDG.
There was a problem with the plumbing and it cost is 35% morning he budget. How much did he end up paying for plumbing?
well, from the picture the new plumbing would be $1640, at least that's what's in budget, now, we know that it's going to cost 35% more than that, hmmm well, how much is 35% of 1640?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 1640}}{\left( \cfrac{35}{100} \right)1640}\implies 574~\hfill \underset{final~plumbing~cost}{\stackrel{1640~~ + ~~574}{\text{\LARGE 2214}}}\)
A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?
Answer:
$56.16
Step-by-step explanation:
74.88 times 0.75 =56.16
Answer:
$56.16
Step-by-step explanation:
To find the sale price, multiply the original price by 0.75:
74.88(0.75)
= 56.16
So, the sale price is $56.16
Question 15 please and i will mark the brainliest!!! And thank you to whoever answers
Explanation:
We have 4 options for the first choice and 3 options for the next. So there are 4*3 = 12 different combos possible. The tree diagram below shows 12 different paths to pick from. For instance, the right-most path has us pick the number 4 and the color yellow.
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answer:
90 berries
Step-by-step explanation:
The lines represented by the equations 2y + 5x = –2 and y
- x + 3 are
parallel
Submit Answer
neither parallel nor perpendicular
perpendicular
the same line
Answer:
you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))
1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM
Answer:
Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.
Step-by-step explanation:
To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.
The formula for the volume of a cylinder is:
V = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159.
Let's substitute the given values into the formula:
V = π * (5 cm)^2 * 0.75 cm
V ≈ 3.14159 * (25 cm^2) * 0.75 cm
V ≈ 58.909 cm^3
the area of a circle is 94pi squared meters. What is the radius of the circle?
Answer: 47
Step-by-step explanation:
Radius is half of a crickets so if you divide 94 by 2 you will get 47
The graph shows y as a function of x
In which segment is the function increasing?
Answer:
B
Step-by-step explanation:
So, a function is increasing when the y-values increase with the x-values. Ok?
So, A is constant, because while the x-values are increasing, the y-values aren't changing at all.
B is increasing because both the x and y values are increasing.
C is once again constant, for the same reason as A.
D is decreasing because as x-values increase, y-value decrease.
Answer:
I agree that’s your answer
Step-by-step explanation:
A manufacturer has a monthly fixed cost of $750 and a production cost of $15 for each item x that is produced. The product sells for $37 per item.
Write the equation of the total cost function, C(x), in terms of x.
Write the equation of the total revenue function, R(x), in terms of x.
Write the equation of the profit function, P(x), in terms of x. Simplify P(x) completely.
Answer:
The cost function is C(x) = 14x + 100000,
the revenue function is R(x) = 20x,
the profit function is P(x) = R(x) − C(x) = 20x − 14x − 100000 = 6x − 100000.
Step-by-step explanation:
Snow-House sells a $1,248 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $116 each. What is the total cost of the snow thrower on the installment plan?
The total cost of the snow thrower on the installment plan is $1,641.60.
To find the total cost of the snow thrower on the installment plan, we will first calculate the down payment and then add the total monthly payments. Here's the step-by-step explanation:
1. Calculate the down payment:
Down payment = 20% of the original price
Down payment = 0.20 * $1,248
Down payment = $249.60
2. Calculate the total of the 12 monthly payments:
Total monthly payments = 12 * $116
Total monthly payments = $1,392
3. Calculate the total cost on the installment plan:
Total cost = Down payment + Total monthly payments
Total cost = $249.60 + $1,392
Total cost = $1,641.60
So, the total cost of the snow thrower on the installment plan is $1,641.60.
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Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
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Question attached as screenshot below, let me know if you have any questions, thanks!
SOLUTION:
Using the fundamental theorem of calculus,
Therefore, f'(0.4) = Arcsin(0.4) = 0.412
The correct option is B.
11 less than the quotient of
4
44 and
�
xx.
The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".
A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.
An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.
The quotient of a number"x" and 4 can be written as x/4.
So, one more than the quotient of a number x and 4 can be represented by the expression:
⇒ x/4 + 1,
Therefore, required mathematical expression is "x/4 + 1".
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The given question is incomplete, the complete question is
Write an expression to represent : One more than the quotient of a number x and 4.
Can someone help me with this? I’m confused
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
45. A 5-foot log leans against a wall and inclines at a 45° angle from the ground. What expression will
solve the distance between the base of the log to the base of the wall?
A. sin 45
B. cos 45
C. tan 45
D. csc 45
46. What trigonometric ratio can we use to solve for the height of a building given the distance between
the observer and the base of the building and its angle of elevation?
A. Sine
B. Cosine
C. Tangent
D. Secant
47. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip of
the shadow to the sun.
A. 18°
B. 19°
C. 20°
D. 21°
48. What formula is used to solve the problem: "Find zB in an oblique triangle ABC with the
following measures: A = 50°, a = 15 and b = 10."
A. Sine Law
B. Cosine Law
C. Tangent Law
D. Cosecant Law
49. In an oblique triangle XYZ, ZX = 63°, x = 139 and y = 140. Find
A: 100°
B. 64°
C. 60°
D. 45°
50. What formula will solve: "Jackie and Peter skate apart with an angle of 15° between them.
Jackie skates for 5 meters and Peter skates for 7 meters. How far apart are the skaters?
A. d² = 52+72-2(5)(7) cos 15
C. 7² = 52+d²-2(5)(d) cos 15
B. 52= d²+72-2(d)(7) cos 15
D. 152=52+72-2(5)(7) cos
Answer: it was be cos4
Step-by-step explanation: 1/2 divided by 3/4 = cos4
Olivia is a stockbroker. She makes 4% other sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average that same commission each week, how much would she make in commissions in a year, treating a year as having exactly 52 weeks?
Olivia made $288 last week from her 4 percent commission and an average of $14,976 in 52 weeks
PercentageThe term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.
In this question, she makes a commission of 4% on her weekly sales.
A) How much did she makes last week?
To find how much she made, we simply have to find 4% of 7200
0.04 * 7200 = 288
She made $288 last week.
B) If she made $288 each week, and we have 52 weeks in a year, we can multiply them and find how much she made in a year.
$288 * 52 = $14,976
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Identify the expressions that correctly model the distance between a point located at (-2,3) and the point (x,y). Select all the apply
The distance between the two points is
d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².
What is distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane.
The distance between two points is expressed as;
d = √ (X-x )² + (Y-y)²
X = -2
x = x
Y = 3
y = y
Therefore the distance between the two points is
d = √( -2-x)² + (3 -y)²
or it can also be written in this form
d = √ x-(-2)² + (y-3)²
d = √ x+2)² + (y-3)²
therefore the model of the distance between the two points can be
d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².
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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
A group of workers can plant 9 3/4 acres in 4 1/2 days.
What is the unit rate in acres per day?
Answer:
2.16 or 54/25 acres per day
Step-by-step explanation:
9.75/4.5= 2.1666666666
Please Help
Find (f+g)(x)if f(x)=4x2-5x+8 and g(x)=2x2+x-2
Answer: (f+g)(x) = 6x²- 4x + 6
Step-by-step explanation:
We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)
Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)
We are left with (f+g)(x) = 6x²- 4x + 6