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PolarNik [594]
3 years ago
7

IF SOLVED I WILL CORRECTLY ILL GIVE 5 STARS AND BRAINIEST Which of the following describes a correct method

Mathematics
1 answer:
Molodets [167]3 years ago
8 0
I think it would be a
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The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!..... ​
aliina [53]

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

4 0
4 years ago
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

(a)After 12 Hours

A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

3 0
3 years ago
Find the area of the square ABCD
icang [17]

Step-by-step explanation:

Area of Square ABCD = 10m * 10m = 100m².

7 0
3 years ago
Read 2 more answers
(cos A + cos b)^2 + (sin A + sin B)^2=?
emmasim [6.3K]
First, we expand the equation:

cos^{2}A+2cosAcosB+ cos^{2}B+sin^{2}A+2sinAsinB+sin^{2}B

Then, we combine certain terms in order to simplify them using trigonometry identities.

cos^{2}A+sin^{2}A+cos^{2}B+sin^{2}B+2cosAcosB+2sinAsinB

Note these identities:
Pythagoran relation: cos^{2}A+sin^{2}A = cos^{2}B+sin^{2}B=1
Sum and Difference Formula/Identities: cos(A-B) = cosAcosB+sinAsinB

Thus, if we apply these identities, the simplified equation would be:
2(cos(A-B))+2

Simplying further, the answer would be

2[cos(A-B)+1]
6 0
3 years ago
What is the y-intercept of this line?
bekas [8.4K]
Answer:
B) (0, 2)
General Formulas and Concepts:
- Reading a Cartesian Plane
The y-intercept is the y-value when x = 0. It is also when the graph crosses the y-axis.
Step-by-Step Explanation:
According the the graph given, the graph crosses the y-axis at 2. Therefore, when x = 0, y = 2, and we have our y-int.
6 0
3 years ago
Read 2 more answers
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