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3 years ago

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

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(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