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4 years ago

F=9/5 c +35 ??????????

1 answer:

8 0

f(35) = (9/5)*35 + 32 = 63 + 32 = 95, (2), hopefully I'm right or it can be Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f-(9/5*(35)+32)=0

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The height of a vase is 6.2 feet when rounded to the nearest tenth of a foot. What is the shortest possible height of the vase?

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3 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

3. In the rhombus, what are m∠1, m∠2 and m∠3? The diagram is not drawn to scale.

Talja [164]

M< 1 = 128, m< 2 = 26, and m< 3 = 26.

4 0

3 years ago

Read 2 more answers

Which statement is true? Question 1 options: A) – |–13| = 13 B) – |13| = 13 C) |–13| = 13 D) |13| = – 13

ExtremeBDS [4]

Answer:

The answer is C. |-13| = 13

Step-by-step explanation:

The definition of absolute value is:

$\displaystyle \large{ |x| = \begin{cases} x \: \: (x \geqslant 0) \\ - x \: \: (x < 0) \end{cases}}$

To say it simply, any real numbers in absolute sign, when evaluated, they will always be positive.

No matter the positive real numbers or negative real numbers - if these numbers are in absolute sign, they will be evaluated to positive.

Examples

$\displaystyle \large{ |2| = 2} \\ \displaystyle \large{ | - 2| = 2} \\ \displaystyle \large{ | - 8| = 8}$

But if the negative is not inside the absolute sign.

Examples II

$\displaystyle \large{ - |2| = - 2} \\ \displaystyle \large{ - | - 2| = - 2} \\ \displaystyle \large{ - | - 8| = - 8}$

First, we evalute the absolute value first. We know thay any real numbers in absolute sign will become positive. Next, after evaluating the absolute value, we simply add the negative symbol beside the positive number.

Simplified Definition

This one is to make it simple to remember.

$\displaystyle \large{ |a| = a} \\ \displaystyle \large{ | - a| = a} \\ \displaystyle \large{ - |a| = - a} \\ \displaystyle \large{ - | - a| = - a}$

After reading the explanation, see the choices and tell if they are true or not.

The A choice is wrong as we know that -|-13| is -13.

The B choice is wrong, the reason is same as the A choice.

The C choice is correct! Any real numbers in absolute sign are always positive.

The D choice is wrong because absolute-value numbers cannot be negative, refer to the C choice's reason.

Let me know if you have any questions!

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2 years ago

A, in simplest radical form

IgorLugansk [536]

Answer:

(

)

√

Use the definition of secant to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

sec

(

)

hypotenuse

adjacent

Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.

Opposite

√

hypotenuse

−

adjacent

Step-by-step explanation:

8 0

3 years ago