Answer:
x+2y=0
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y-(-1/2x)=2-2
y+1/2x=0
1/2x+y=0
2(1/2x+y)=2(0)
x+2y=0
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map. (b) Calculate length of a road on the map which is 0.58 km. (c) Calculate, in km2, the ACTUAL area of a lake which is 12 cm2 on the map. (d) Calculate the area of a play field on the map which has has an actual area of 90 km2.
Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
Question 8 - Find the mean
Answer:
You can hack it double click and press inspect for answers
Step-by-step explanation:
4d2–15d+9=0 solve for d
Answer:
d = 3 and d = 3/4
Step-by-step explanation:
This is a quadratic eqution. Let's use the quadratic formula to solve it.
If ax^2 + bx + c = 0, then:
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
With a = 4, b = -15 and d = 9, we have:
-(-15) ± √(225 - 4(4)(9) ) 15 ±√81 15 ±9
d = ------------------------------------ = -------------- = -------------- = 24/8 and 6/8
2(4) 8 8
Simplifying these results, we get d = 3 and d = 3/4
Double question help plz solve with more points
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
When the function is given in vertex form y = a (x - h)2 + k. When the function is given in vertex form y = a (x minus h) squared + k, how is the vertex found? How is the vertex found?
a. (k, h)
b. (x, y)
c. (h, k)
d. (y, x)
PLEASE HURRY!
Answer:
(x,y)
Step-by-step explanation:
Answer:
b is the answer for your question
How do I write the equation of a line that goes through the points (9,-8) and (6,-8)???
Answer: y=-8
Step-by-step explanation: I will assume you want the solution in slope intercept form. First, we must find the slope of this line. Since between the two points the y value doesn't change, this means our line is horizontal. So far, we have y=0x+b, since anything multiplied by 0 is zero, we can get rid of that. This line is a horizontal line, and we have the y value, so out equation is y=-8.
PLZ HELP ASAP LIKE IM FAILING MY MATH
Answer:
15 is a
Step-by-step explanation:
Preston has more than $8 in his wallet. Which inequality represents this situation?
A) c>8
B) c≤8
C) c≥8
D) c<8
Answer:
D
Have a great day
Answer:
A ) c > 8
Step-by-step explanation:
> this is the greater than sign and the question says " more than 8$ "
i need this i is are has stup id
so ill give 100 points
Answer:
its B, since 2 x 18 = 36
Step-by-step explanation:
Answer:
18 books
Step-by-step explanation:
there is 2 books in group 2 so that means you do
36 / 2 = 18
one book represents 18 books
Kishany is investing in a savings account that earns 3.85% interest compounded annually. How much will Kishany have in the account at the end of the 3rd year if she deposits $600 in the account?
a
$2,310
b
$672.00
c
$558.38
d
$669.30
Answer:
The amount in the account after 3 years is $672.00
Step-by-step explanation:
Here, we want to use the compound interest formula
A = P(1 + r/n)^nt
A is the amount in the account after the given time
P is the principal which is the deposit amount = $600
r is the interest rate = 3.85% = 3.85/100 = 0.0385
n is the number of times interest is compounded yearly (since it is annually, n = 1)
t is the time in years = 3
Substituting these values;
A = 600(1 + 0.0385/1)^(3 * 1)
A = 600(1.0385)^3
A = $672
ANSWER NEEDED QUICKLY‼️ BRAINLIEST TO RIGHT ANSWER
Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
5,
b) 4, 8, and 32
c) 38 and 57
d) 5, 22, and 121
Answer:
1. 140
2. 32
3. 114
4. 660
Step-by-step explanation:
Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150
Multiples of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180
Multiples of 28:
28, 56, 84, 112, 140, 168, 196
Therefore,
LCM(5, 20, 28) = 140
b) 4, 8, and 32
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8:
8, 16, 24, 32, 40, 48
Multiples of 32:
32, 64, 96
Therefore,
LCM(4, 8, 32) = 32
3. 38 and 57
Multiples of 38:
38, 76, 114, 152, 190
Multiples of 57:
57, 114, 171, 228
Therefore,
LCM(38, 57) = 114
4. 5, 22, and 121
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704
Therefore,
LCM(5, 12, 22) = 660
Match the equation with the description of the function it represents.
The Help All Animals Society is having a fundraiser at a local auditorium. They charge $5.00 a ticket to attend the event. If the rental fee for the auditorium is $100, which expression represents the profit if n tickets are sold?
Step-by-step explanation:
5n-100= profit
...............
PLLLLLLLLLLLSSSSSSSSSS HELP MEEE
Answer:
y=0.5x
Step-by-step explanation:
Answer:
y = 1/2x
Step-by-step explanation:
Solve for the missing arc:
A 32.25 degrees
B 64.5 degrees
C 129 degrees
D 45 degrees
Answer:
hey i am also on this problem did you ever figure it out
(10 x 16)+(10x x p) what is equvalint
Answer:
1 0 2 + 1 6 0
Step-by-step explanation:
Multiply the numbers
(10*16) +10x xp)
(160) +(10x xp)
Combine exponents
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Eliminate redundant parentheses
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Rearrange terms
160 + 10 [tex]x^{2}[/tex] p
1 0 2 + 1 6 0
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
What is the green dashed line called?
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
HELP ME ASAP 100 POINTS The height of a right square pyramid is multiplied by 6, but the dimensions of the base remain fixed. By what factor is the volume multiplied? A. 3 B. 6 C. 12 D. 36
Answer:
the answer is 3 b. multiplied by 6
What is f(x)? someone please help
Given:
The table of values for the function f(x).
To find:
The equation for the function f(x).
Solution:
From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-5=\dfrac{8-5}{1-0}(x-0)[/tex]
[tex]y-5=\dfrac{3}{1}x[/tex]
[tex]y=3x+5[/tex]
The function notation is:
[tex]f(x)=3x+5[/tex]
Therefore, the required function is [tex]f(x)=3x+5[/tex].
Who caN do it correctly
Answer:
9.
Step-by-step explanation:
a cheeta can run 70 miles per hour. What is this speed in feet
Answer: 369,600 feet per hour.
Step-by-step explanation:
The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:
One mile equals 1760 yards
In feet that is 3 x 1760 or 5,280
So Feet per hour will be 5280 x 70 or
369,600 feet per hour.
Answer:
6160 feet per minute
brainliest, pleaseWill give Brainly! Need help!
Answer:
(-3,5)
Step-by-step explanation:
Please brainleist me
What is the y-intercept of this graph?
Answer:
The y intercept is 3
Step-by-step explanation:
a+3 1/4 = 5 2/9
explain the process and how you got, please. If you dont thats also alright but i would like it.
Step-by-step explanation:
a = 71/36
Alternate form
a = 1 35/36, a = 1.972
Can someone please help me 11 points ! If you don’t know add a comment don’t answer !!
Step-by-step explanation:
In the 1st one,
They are parallel linesThey both have the same slopeThe y intercepts are differentThey will have 0 solutions.E.x
[tex]2x + 5 = 2x + 3[/tex]
In the 2nd one,
They are intersecting linesThe slope is differentThe y intercepts are differentThey will have 1 solutionE.x[tex]2x + 6= 5x + 5[/tex]This equation will have only 1 solution if you solve it.
In the 3rd one
They are coincident linesThey have the same slopeThey have the same y interceptThey have infinite solutionsE.x
[tex]2x + 9 = 2x + 9[/tex]
You can plug any x value into the problem and it would be true.
Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units
Answer:
m<A = 72 degrees
m<B = 108 degrees
Step-by-step explanation:
For the parallelogram ABCD
The sum of the opposite angle will be 180 degrees
Hence <A + <B = 180 and m<A = m<C
5y - 3 = 3y + 27
5y - 3y = 27 + 3
2y = 30
y = 30/2
y = 15
Get m<A
m<A = 5y - 3
m<A = 5(15)-3
m<A = 75 - 3
m<A = 72 degrees
Get m<B
From the equation above;
m<B = 180 - m<A
m<B = 180 - 72
m<B = 108degrees