Answer:
So that the area of circle is 2 pi x^2. So the area of a semicircle with diameter 2x is less than the are of a circle with x radius.
Step-by-step explanation:
Answer:
Less than
Step-by-step explanation:
They both have the same radius but the first one is a semi circle and the other is a full circle.
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
The scatter diagram shows the age and yearly salary of a sample of seven surgeons in a hospital.
Answer:
a) Point (42, 30,000)
b) The salaries are directly proportional to the age of a surgeon to a large extent
c) By performing regression analysis
Step-by-step explanation:
a) From the given information;
Given that Igor is an experienced surgeon that just completed his medical training, Igor has;
1) Years of experience
2) Redid his medical training to obtain the same qualification with more time spent
3) Able to work only with his newly acquired re-qualification
Therefore, Igor will receive wages similar to other recently trained surgeons that have similar years of experience post Igor's re-qualification
The point that most likely will represent Igor's data will have his years of experience and wage commensurate with his UK based post qualification experience, which is the point (42, 30,000)
b) Because from the graph apart from the two points, (that of Igor and (34, 44,000)), the salaries of the other points vary proportionately with the age of the Surgeon
c) By carrying out a regression analysis as follows;
A = 50, 55,000
B = 42, 46,000
C = 38, 42,000
D = 34, 44,000
E = 42, 30,000
F = 26, 30,000
G = 22, 28,000
Analyzing the above data using excel regression analysis gives Which gives
R² = 0.5739 which shows that approximately 60% of the data fit the Managing Directors data
The equation is as follows;
y = 790·x + 10620
Where
y = Salary
x = Age of surgeon.
Answer:
the answer for C is
use a larger sample of surgeons
Step-by-step explanation:
David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P, right parenthesis, depends on the time the bike was out, (t)(t)left parenthesis, t, right parenthesis. The price consists of a base charge of \$8$8dollar sign, 8 and a variable hourly cost. The graph of the function is shown below.
Complete the following sentences below based on the graph of the function.
The hourly charge is \$$dollar sign
per hour for the first 333 hours.
The rate then drops to \$$dollar sign
per hour until the end of the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript hour.
The hourly rate drops further to \$$dollar sign
per hour between the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript and 10^{\textrm{th}}10
th
10, start superscript, start text, t, h, end text, end superscript hours.
The maximum price of the bike rental is \$$dollar sign
.
Answer:
The hourly charge is $4 per hour for the first 3 hours.
The rate then drops to $2 per hour until the end of the 6th hour.
The hourly rate drops further to $1 per hour between the 6th and 10th hours.
The maximum price of the bike rental is $30.
Step-by-step explanation:
The slope of the graph corresponds to the hourly rate for the bike rental.
During the first three hours of the bike rental, the price increases by $4 each hour.
Between the 3rd and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.
Between the 6th and 10th hours, the rate is $1 per hour.
After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.
What is the cost of two chocolate chip cookies that cost 30 cents each and three peanut butter cookies that cost 25 cents each?
Answer:
2 x 30 = 60 cents
3 x 25 = 75 cents
60 + 75 = 135 cents or 1 dollar 35 cents
Hope this helps
Step-by-step explanation:
Answer:
135 cents or $1.35
Step-by-step explanation:
30 x 2 = 60 cents for the choc
25 x 3 = 75 cents for the pb
60+75=135
PLLLLLLLLLLLEAAAAAASE HEEEEEELP The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10) = 38
Step-by-step explanation:
Notice that this sequence is given in recurrent form, so you need to know the previous term in order to calculate the following one. Then let's get into all the 10 terms needed:
f(1) = 2
f(2) = 2 + 4 = 6
f(3) = 6 + 4 = 10
f(4) = 10 + 4 = 14
f(5) = 14 + 4 = 18
f(6) = 18 + 4 = 22
f(7) = 22 + 4 = 26
f(8) = 26 + 4 = 30
f(9) = 30 + 4 = 34
f(10) = 34 + 4 = 38
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
Please answer please correct
Answer:
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
Step-by-step explanation:
The sides of an angle are rays. A ray is named by first naming its end point, then a point on the ray.
Here, the lower side is ray VU. The vertical side is ray VW.
If you have the symbols available, you can indicate the feature is a ray by putting a single-ended arrow over the name. The arrowhead is over the point that is not the vertex of the angle. Here, the sides of angle UVW are ...
[tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
Please help. Need and answer ASAP
Answer:
180
Step-by-step explanation:
Using the ratio flats : bungalows = 10 : 3
Given there are 30 bungalows then dividing by 3 gives the value of one part of the ratio.
30 ÷ 3 = 10 ← value of 1 part of the ratio, thus
10 parts = 10 × 10 = 100 ← number of flats
Using the ratio houses : flats = 9 : 5
The number of flats = 100 thus dividing by 5 gives
100 ÷ 5 = 20 ← value of 1 part of the ratio, thus
9 parts = 9 × 20 = 180 ← number of houses
Instructions: Find the missing length indicated.
Answer:
X = 25
Step-by-step explanation:
Set up as a ratio:
Simplify ratio, multiply by 5, divide by 12
[tex]\frac{60}{144} = \frac{x}{60} \\\frac{5}{12}=\frac{x}{60} \\ 300 = 12x\\12x=300\\x=25[/tex]
. Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva sus 3 últimos juegos: 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con s/. 70. ¿Cuánto tenía al inicio?
Answer:
Alfredo tenía 80 soles peruanos al inicio.
Step-by-step explanation:
La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:
Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:
[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]
[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]
Donde:
[tex]x[/tex] - Monto inicial, medido en soles peruanos.
[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.
Se reduce el sistema de ecuaciones:
[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]
[tex]z = \frac{2}{5}\cdot x[/tex]
Gana en forma consecutiva sus 3 últimos juegos:
[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]
[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]
[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]
Donde:
[tex]z[/tex] - Monto inicial, medido en soles peruanos.
[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).
Se reduce el sistema de ecuaciones:
[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]
[tex]w = \frac{35}{16}\cdot z[/tex]
Si [tex]w = 70[/tex], el monto inicial es:
[tex]z = \frac{16}{35}\cdot w[/tex]
[tex]z = \frac{16}{35} \cdot (70)[/tex]
[tex]z = 32[/tex]
Ahora,
[tex]x = \frac{5}{2} \cdot z[/tex]
[tex]x = \frac{5}{2}\cdot (32)[/tex]
[tex]x = 80[/tex]
Alfredo tenía 80 soles peruanos al inicio.
Al inicio Alfredo tenía $80.
Determinación de cantidadesDado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:
((((0.66X) x 0.6) x 1.5) x 1.25) x 1.16 = 70((((0.66X) x 0.6) x 1.5) x 1.25) = 70 / 1.16(((0.66X) x 0.6) x 1.5) = 60 / 1.25(((0.66X) x 0.6) x 1.5) = 60 / 1.25((0.66X) x 0.6) = 48 / 1.50.66X = 32 / 0.6X = 53.333 / 0.66 X = 80Por lo tanto, al inicio Alfredo tenía $80.
Aprende más acerca de determinación de cantidades en https://brainly.com/question/13806160
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
How do you do this? Bearings. Please help
Answer:
Hi !
You need to use the "cosine rule" :
d² = 24² + 32² - (2 x 24 x 32)cos125°
So == > d² = 1600 - 1536cos125°
Then ==> d² = 2481.013406
Conclusion == > d = 49.8 nautical miles
The distance between the ships after 2 hours is 49.8 nautical miles
; )
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Answer:
true
Step-by-step explanation:
because CD divided AB into equal halves, so they are of course perpendicular.
Answer:
Step-by-step explanation:
This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
The price of a CD increased from $20 to $24. Find the percent of increase
5x^3 − 2x^2 + 3x − 8 - (2x^2 + 4)
Answer:
5x^3 - 2x² +3x -8 -(2x²+4)5x^3 - 2x² + 3x - 8 -2x²-45x^3 - 4x²+3x-12
By rounding to 1 significant figure, estimate the answers to these questions:
346 x 904
Answer:
312 784
Step-by-step explanation:
if u need this answer, take
Significant figure can be defined in mathematics as the number of integers or digits in a number that tells us how significant and accurate the number is.
Rounding to 1 significant figure, 346 x 904 is 300000
When rounding a number to significant figures, the following rules are important.
Digits with no zeros in them are always significant Zeros between digits with no zeros in them are always significant The zero at the beginning of a number is not insignificant.
346 multiplied by 904 is calculated as:
346 x 904 = 312794
Converting 312794 to 1 significant figure is 300000
Therefore, rounding to 1 significant figure, 346 x 904 is 300000.
To learn more, visit the link below:
https://brainly.com/question/19698904
Convert 5.86 to a percent. A. 586% B. 58.6% C. 5.86% D. 0.0586%
Answer:
586%
Step-by-step explanation:
5.86 times 100 to change to a percent
586 %
Answer:
A. 586%
Step-by-step explanation:
Multiply 5.86 by 100.
Drop the decimal.
Add the percent symbol.
Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%
Answer:
78.5%
Step-by-step explanation:
Hope this helps ;) ❤❤❤
Find the solutions to the equation below.
6x^2+ 5x - 4 = 0
A. x= - 4/3
B. X = -2
C. X= 4
D. x= - 1/3
E. x= 1/3
F. x = 1/3
Answer:
F x=1/2
Step-by-step explanation:
Jeremy is trying to explain why a triangle with side lengths 35, 30, 60 is not a right triangle. His explanation is shown below. Step 1: 35 squared + 30 squared question mark equals 60 squared Step 2: (35 + 30) squared question mark equals 60 squared Step 3: 65 squared question mark equals 60 squared Step 4: 4,225 not-equals 3,600 Which best describes Jeremy's explanation? Jeremy's explanation is accurate. Jeremy's explanation is inaccurate. He wrote the leg lengths in the incorrect order in step 1. Jeremy's explanation is inaccurate. He incorrectly combined terms in step 2. Jeremy's explanation is inaccurate. He multiplied incorrectly in step 4.
Answer:
He incorrectly combined terms in step 2
Step-by-step explanation:
In Step 2, you can't combine 30² + 35² into (30 + 35)² so the answer is "He incorrectly combined terms in step 2".
Answer:
The answer is C
Step-by-step explanation:
Jeremy’s explanation is inaccurate. He incorrectly combined terms in step 2.
Which of the following is the Perpendicular Bisector Theorem?
Answer:
B
Step-by-step explanation:
So perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length).
Answer:
the answer is b
Step-by-step explanation:
find the ordered triple to represent u in u= 1/2 v - w +2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)
Answer:
Its D
Step-by-step explanation:
On edge i used elimination of the answers
Answer:
the answer is D
Step-by-step explanation:
i took the test on edg
Find the area of the shape shown below.
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.