1.closed circle means equal to
line to the right means greater than
x>= 4
2. open circle means not equal to
line to the left and right means not equal to
x not equal to -4
Choice C
3. less than means open circle and line to the left
x<-3
Choice A
4. m<=-1
closed circle because of the equals
line to the left
Choice B
5. y <6
open circle because of no equals
line to the left
Choice B
6. t>=0
closed circle with the =
line to the right
Choice A
7. x not equal to -4
open circle at 4
lines going both directions
Choice B
8.n <=-1.5
closed circle at -1.5
line going to the left
Choice C
1. x greater than or equal to 4 (B)
2. x does not equal 4 (C)
3. A
4. B
5. B
6. A
7. B
8. C
(The pictures were out of order but i did it by number shown in the pictures. Hope this helps.)
9514 1404 393
Answer:
370
Step-by-step explanation:
The set B∩(F∪M) is the sum of the numbers on line B in both the M and F columns:
B∩(F∪M) = 54 +316 = 370
The set B∩(F∪M) contains 370 respondents.
r + 45 – 16 < 16 – 16
r + 45 + 3 < 16 + 3
r + 45 - 16 < 16
r + 45 - 45 < 16 - 45
Answer
Which inequalities are equivalent to r + 45 < 16? Check all that apply.
✅r + 45 – 16 < 16 – 16
✅ r + 45 + 3 < 16 + 3
✅r + 45 - 45 < 16 - 45
Answer:
0.1 foot
Step-by-step explanation:
1 inch = 0.083 foot
Formula: divide the length value by 12
So, multiply 0.083 to
1.2 × 0.83 = 0.996
approximatlry, 0.996 = 0.1
Therefore, inches are equal to 0.1 foot.
Answer:
Altitude of the pile will increase by 16.56 cm per second.
Step-by-step explanation:
Sand is poured onto a surface at the rate = 13 cm³ per second
Or
It forms a conical pile with a diameter d cm and height of the pile = h cm
Here d = h
Volume of the pile cm³per sec.
Since h = d = 2r [r is the radius of the circular base]
r =
Since cm³per sec.
13 = [For h = 1 cm]
cm per second.
Therefore, altitude of the pile will increase by 16.56 cm per second.
To solve this problem, we first find the expression for the volume of the cone in terms of the height. We then differentiate this expression to get the relation between the rates of change of the volume and the height. By substituting the given values, we can find the rate of change of the height when the cone is 1 cm high.
The question is related to the application of calculus in Physics, specifically rates of change in the context of real-world problem involving a three dimensional geometric shape - a cone. The student asks how fast the altitude of a pile of sand is increasing at a given time if sand is being poured onto a surface at a constant rate and the pile forms a cone whose base diameter is always equal to its altitude.
We know that the volume of a cone is given by V = (1/3)πr²h, where r is the radius of the base and h is the altitude. Since in this problem the base diameter is always equal to its altitude, we have d = 2r = h, or r = h/2.
Replace r in the volume formula, yielding V = (1/3)π(h/2)²h = (1/12)πh³. Differentiate this expression with respect to time (t) to find the rate of change of V with respect to t, dV/dt = (1/4)πh² * dh/dt.
Given that sand is poured at a constant rate of 13 cm³/sec (that is, dV/dt = 13), we can solve for dh/dt when h = 1cm. Substituting the given values into the equation, 13 = (1/4)π(1)² * dh/dt, we find dh/dt = 13/(π/4) = 52/π cm/sec. Therefore, when the conical pile is 1 cm high, the altitude is increasing at a rate of 52/π cm/sec.
#SPJ3
= 2 : 3 : 4.6
20 : 30 : 46
10 : 15
23
Latih Diri 4.1a
1. Wakilkan hubungan antara tiga kuantiti berikut dalam bentuk a : b:c.
(a) 2 minggu kepada 16 hari kepada 1 minggu
(b) 0.1 kg kepada 50 g kepada 0.25 kg
(c) 4 minit kepada 120 saat kepada 1.6 jam
(d 3 m kepada 480 cm kepada 6 400 mm
2. Tahir membayar RM5.60 untuk sepinggan nasi beriani, RM1.20 untuk segelas teh
dan 30 sen untuk sekeping kuih. Wakilkan hubungan harga bagi nasi beriani, teh dan
kuih dalam bentuk a:b:c.
76
BAB 4
Answer:
a:b:c
1a) 14:16:7
b) 2:1:5
c) 2:1:48
d) 15:24:32
2) 56:12:3
Step-by-step explanation:
Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.
a) 2 minggu hingga 16 hari hingga 1 minggu
Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.
2 minggu = 14 hari
16 hari = 16 hari
1 minggu = 7 hari
2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari
14: 16: 7
b) 0.1 kg hingga 50 g hingga 0.25 kg
Menukar semua menjadi gram
= 100 g hingga 50 g hingga 250 g
= 100: 50: 250
Bahagikan dengan 50
= 2 : 1 : 5
c) 4 minit hingga 120 saat hingga 1.6 jam
Menukar semua menjadi beberapa saat
= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat
= 240 saat hingga 120 saat hingga 5,760 saat
= 2: 1: 48
d) 3 m hingga 480 cm hingga 6 400 mm
Menukar semua ini menjadi mm
= 3000 mm hingga 4800 mm hingga 6400 mm
Membahagi hingga 200 mm
= 15:24:32
2) RM5.60 hingga RM1.20 hingga 30 sen
Menukar semuanya kepada sen
= 560 sen hingga 120 sen hingga 30 sen
Membahagi hingga 10
= 56: 12: 3
Semoga ini Membantu !!!
English Translation
Solution
0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6
20:30:46
10:15:23
Self Training 4.1a
1. Represent the relationship between the following three quantities in the form a: b: c.
(a) 2 weeks to 16 days to 1 week
(b) 0.1 kg to 50 g to 0.25 kg
(c) 4 minutes to 120 seconds to 1.6 hours
(d) 3 m to 480 cm to 6 400 mm
2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.
Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.
Solution
To form a ratio of three quantities, we first convert each of them to the same units.
a) 2 weeks to 16 days to 1 week
Converting all of it to number of days, as itnis very comparable.
2 weeks = 14 days
16 days = 16 days
1 week = 7 days
2 weeks to 16 days to 1 week
= 14 days to 16 days to 7 days
14 : 16 : 7
b) 0.1 kg to 50 g to 0.25 kg
Converting all into grams
= 100 g to 50 g to 250 g
= 100 : 50 : 250
Divide through by 50
= 2 : 1 : 5
(c) 4 minutes to 120 seconds to 1.6 hours
Converting all into seconds
= 240 seconds to 120 seconds to (1.6×60×60) seconds
= 240 seconds to 120 seconds to 5,760 seconds
= 2:1:48
(d) 3 m to 480 cm to 6 400 mm
Converting all of this to mm
= 3000 mm to 4800 mm to 6400 mm
Dividing through by 200 mm
= 15:24:32
2) RM5.60 to RM1.20 to 30 cents
Converting it all to cents
= 560 cents to 120 cents to 30 cents
Dividing through by 10
= 56:12:3
Hope this Helps!!!
Answer:
-3/2, -2, 0, 2.1, 7/3
Step-by-step explanation:
Please correct me if I am wrong. Thank you.