Answer:
The correct option is (4).
Step-by-step explanation:
The complete question is:
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?
Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.Houses sell for an average of $275,000.f(275) indicates houses stay on the market an average of 275 days before being sold.f(275) represents the average number of days houses stay on the market before being sold for $275,000.Solution:
The function f (p) is defined as the average number of days a house stays on the market before being sold for price p in $1,000s.
The function provided is: f (275)
That is, p = $275,000.
So, the function (275) describes the average number of days a house stays on the market before being sold for price $275,000.
Thus, the correct option is (4).
A cube has side length 0.7 metres.
Work out the total surface area of the cube.
Give your answer in square centimetres
Answer:
2.94
Step-by-step explanation:
SA
Area of one plane moultyply by number of planes
0.7*0.7*6
=2.94
Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct
Answer:
a) Cost of flying from A to B = $425
b) Total distance travelled by Piravena during the complete trip = 7,500 km
c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.
Step-by-step explanation:
The complete question is presented in the attached image to this question.
Full Question
a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.
b) Determine the distance she travels for her complete trip.
c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.
Solution
a) The distance from A to B is given as 3250 km.
To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.
So, to fly 3250 km, she will pay
100 + (0.10×3250) = $425
b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.
Her complete distance travelled = AB + BC + CA
But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.
Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides
AB² = BC² + CA²
3250² = BC² + 3000²
BC² = 3250² - 3000² = 1,562,500
BC = √1,562,500 = 1,250 km
Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km
c) Her total cost of travel = $1012.50
But she definitely flew from A to B at a cost of $425
This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5
Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.
To confirm this, we calculate the two options (bus or airplane) for each route.
If she travels B to C by bus, cost = 0.15 × 1250 = $187.5
If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225
Hence, the bus obviously minimizes cost here.
If she travels from C to A by bus, cost = 0.15 × 3000 = $450
If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400
Here, travelling by airplane minimizes the cost.
So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5
which is the remaining part of her total cost is she minimized expenses!
Hope this Helps!!!
Answer:
The distance is 7500 kilometers
Step-by-step explanation:
I got the answer wrong myself and the website told me that it’s 7500 kilometers
Find the solutions to the equation below.
Check all that apply.
x2 - 25 = 0
O A. X=-3
OB. x = 3
O c. x= -1
O D. x= 1
E. x = -5
O F. X = 5
Answer:
[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]
hope this helps
a line segment has the endpoint (2,-3) (-6,-1) Describe theOff the line that through the points ex and Y
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where the slope m is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, -3) and (-6, -1).
Substitute:
[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]
[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]
[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex] subtract 3 from both sides
[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
[tex]y+3=-\dfrac{1}{4}(x-2)[/tex] multiply both sides by 4
[tex]4y+12=-(x-2)[/tex]
[tex]4y+12=-x+2[/tex] subtract 12 from both sides
[tex]4y=-x-10[/tex] add x to both sides
[tex]x+4y=-10\to\text{standard form}[/tex]
Explain why the graphs of reciprocals of linear functions (except horizontal ones) always have vertical asymptotes,
but the graphs of reciprocals of quadratic functions sometimes do not.
Answer:
The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions
Step-by-step explanation:
An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.
The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.
Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function approaches infinity that is have a vertical asymptote.
However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;
b² - 4·a·c < 0 = -ve value hence;
√(-ve value) = Imaginary number
Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.
Simplify (7^5)^3 please
Answer:
7^15
Step-by-step explanation:
(7^5)^3
We know that a^b^c = a^(b*c)
(7^5)^3 = 7^(5*3)
= 7^15
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
In need of an answer (giving brainliest)
Answer:
The answer is D.
Step-by-step explanation:
The lateral surface area of a 3-D figure is the area of each face that is NOT a base.
A. Fill in the boxes :
8 tens + 19 ones = 9 tens +
ones
8 tens + 2 ones = 7 tens +
ones
7 tens + 25 ones = 9 tens +
ones
70 + 11 = 80 +
50 +
= 60 + 3
90 + 13 =
+ 3
Step-by-step explanation:
it's simple:
8 tens + 19ones = 9 tens + 9 ones8 tens + 2 ones =7 tens+12 ones7 tens +25 ones = 9 tens + 5 ones70+11=80+150+13=60+390+13=100+3The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.
Answer:
140 square units
Step-by-step explanation:
The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.
Find the midpoint between each pair of points. (4,7) (2,9)
PLEASE HELP!!!
Answer:
The midpoint is (3,8)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the two coordinates together and divide by 2
( 4+2)/2 = 6/2 = 3
To find the y coordinate of the midpoint, add the two coordinates together and divide by 2
( 7+9)/2 = 16/2 = 8
The midpoint is (3,8)
Will give Brainliest if u help me solve this problem
Answer:
31
Step-by-step explanation:
Median is the middle number when you order them ascending.
Answer:
40 million acres.
Step-by-step explanation:
15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.
Find maximum points y=11^(6x-x²) solve using derivative
Answer:
[tex]\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }[/tex]
Step-by-step explanation:
hello
[tex]y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))[/tex]
so to know the maximum to y we can check the maximum of
f(x)=[tex]6x-x^2[/tex]
f is derivable and f'(x)=6-2x
f'(x)=0 <=> x = 3
so the maximum is reached for x = 3
f(3)=18-9=9
and then
[tex]y = 11^9=2357947691[/tex]
to be rigorous, we can write the variation table of y to show that there is only one maximum
hope this helps
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
Please answer this question now in two minutes
Answer:
the correct answer is (b).........
Answer:
ABC = 140
Step-by-step explanation:
ABD = 70
ABD = DBC since it is bisected
ABC = ABD + DBC
= 70+70
ABC = 140
Find using synthetic division.
Answer:
x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
divisor is (x - 5) , thus evaluate at h = 5
5 | 1 8 - 25 - 193
5 65 250
-----------------------------
1 13 50 57 ← remainder = 57
The coefficients of the quotient are 1, 13, 50 , that is
x² + 13x + 50
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
Rain trees are planted every 15 metres apart along a road pavement, Bougainvillea
bushes are planted every 1.6 metres apart along the same pavement,
A rain tree and bougainvillea bush are planted at a common point A along the
pavement. Find the distance from A to the next point where a rain tree and
bougainvillea bush are planted together.
Please help with this question.
Answer:
120 m
Step-by-step explanation:
LCM of 1.6 and 15 will give us the distance
Put 1,6 and 15 in same format:
16/10= 2*2*2*2/10150/10= 2*3*5*5/10LCM= 2*2*2*2*3*5*5/10= 120 m
So the next point is 120 m apart
If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, which of the following statements must be true?
A. The polygon is a regular polygon
B. The polygon has 2 sides
C. He polygon has 4 sides
D. The polygon has six sides
E. It's impossible for the sums to be equal
Answer: D.
Step-by-step explanation:
Hexagon has six sides, the sum exterior angles is 360 degrees
if you divide 360 by 6 you will get 60 degrees for each sides.
I might be wrong, I suck at geometry even if im doing calc
What is the answer...?
Answer:
I think it's 1/2 because it might be right
What is the result when 4x3 + 13x2 + 5%
4 is divided by I + 1?
Answer:
19.025
Step-by-step explanation:
( (4x3) + (13x2) + 5% ) divided by 1 + 1
4 x 3 = 12
13 x 2 = 26
5% = 1/20 or 0.05
so
(12 + 26 + 0.05) ÷ 2
(38 + 0.05) ÷ 2
38.05 ÷ 2 = 19.025
(⌐■_■)
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation:
If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
1. If 48% students in the college are Female
if there are 5000 students in the college what
are the numbers ch female of male ;
Answer:
2600
Step-by-step explanation:
the number of female : 5000*48%= 2400 female
males =5000-2400=2600 0r 52%
Ally and Beth are at the grocery store. Ally buys a container of milk for $4 and 4.75 pounds of apples. Beth buys a box of cereal for $3 and 5.5 pounds of apples. If the two shoppers spend the same amount, how much does 1 pound of apples cost?
Answer:
$1.33
Step-by-step explanation:
let the cost of apple be $x .
now according to question the two shoppers spend the same amount
4.75x+4=5.5x+3
0.75x=1
x= 4/3= $1.33
therefore, pound of apples cost = $1.33