Identify the constant of proportionality from the table.
X: 4, 5, 7, 9
Y: 32, 40, 56, 72
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Answer:
Divide y by x:
32/4 = 8
40/5 = 8
56/7 = 8
72/9 = 8
The constant of proportionality is 8
Step-by-step explanation:
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
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HEEEEELLLLLLPPPPPPPPOP
4(x-8) = 4x-4*8
= 4x - 32
Answer:
4(x-8) = 4x-4*8
= 4x - 32
Step-by-step explanation:
Function f(x) =ax +b where a and b are integers and a<0 has a domain 1
Answer:
sorry i read the question wrong and put a wrong answer im not sure how to delete
Step-by-step explanation:
Plz answer fast! Tell the correct answer(both parts), or else I will report you.
Answer:
d1 = -1.5
dn = dn-1 *-4
Step-by-step explanation:
-1.5, 6, -24,96
The first terms is d1
d1 = -1.5
To find the common ratio divide the second term by the first term
6/-1.5 = -4
Check 6*-4 = -24
-24*-4 = 96
dn =dn-1 * -4
Answer:
D (1) = -1.5
D (n)= dn-1 *-4
Step-by-step explanation:
I know ;) hope this helps.
A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00
Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:
A.
4,5 cm
B.
7,5 cm
C.
8cm
D.
18cm
Answer:
C
Step-by-step explanation:
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
Find the area of each figure. Round to the nearest tenth if necessary.
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
Can anyone please help?
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
which numbers round to 40 when rounding to 10s?
Answer:
35, 36, 37, 38, 39, 41, 42, 43 and 44
Step-by-step explanation:
Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.
What is the slope of the graph of y = -3x?
-1/3
1/3
-3
3
Answer:
Slope is -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -3x
↓ Compare to y = mx + b
Slope m = -3
y-intercept b = 0
The answers plzzz I need help
The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)
Answer:
I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
Please help me! There is graph an I out them as pictures!
Sorry for the bother help plz
Answer:
216 a^6
Step-by-step explanation:
(6a^2)^3
We know (xy)^z = x^z * y^z
6^3 * a^2^3
216 a^2^3
We know x^y^z = x^(y*z)
216 a^(2*3)
216 a^6
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
Write an equation to represent each function.
(image attached)
Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:
1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)
Answer:
-4 -6 2 -2x 3-4x 2x-3
Step-by-step explanation:
3 - 7= -4 (7 is larger so we get - sign)
-4-2=-6(we add "-" terms but they have the - sign)
-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)
x-3x=-2x(3x is larger)
3-4x=3-4x(Unlike Terms)
-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)
If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)
Answer:
-20/343
Step-by-step explanation:
Plz Help me Asap. And explain
Answer:
n=(1/6) or n=-5/2
Step-by-step explanation:
|6n+7|=8
6n+7=8 or 6n+7=-8
6n=1 or 6n=-15
n=(1/6) or n=-5/2
Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D
Answer:
It is a reflection across the y axis
Step-by-step explanation:
The reflection of point (x, y) across the x-axis is (x, -y).
The reflection of point (x, y) across the y-axis is (-x, y).
Since (-4, -2.4) becomes (4, -2.4) The x values changes sign. It is a reflection across the y axis
what is the constant rate of change of the function represented in the table?
X: -5 -1 3 7
Y: 23 7 -9 -25
PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST
Answer:
-4
Step-by-step explanation:
please tell me if u need explaination
Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
5/10+8/100
I NEED HELP PLSSSS
Answer:
1 58/100 or 1 29/50 (simplified)
Step-by-step explanation:
you can turn them into decimals
5/10 = 0.5
8/100 = 0.08
0.5 + 0.08 = 0.58
0.58 = 58/100 = 29/50
So sorry I really need help
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation: