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3 years ago

Please help

Mathematics

1 answer:

stiks02 [169]3 years ago

3 0

Answer:

270 cubic inches

Step-by-step explanation:

first you multiply 9 times 5 which equals 45 and then you multiply 45 by 6 to get 270. (for volume its length times width times height)

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A dress is on sale for 15% discount, meaning 85% of the price remains. If the sale price of the dress is $51, then the original

ira [324]

Answer:

Step-by-step explanation:

let the original price=x

85 % of x=51

$x=51*\frac{100}{85} =60$

5 0

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

Write an equation that expresses the following relationship. p varies directly with d and inversely with the square root of u In

NARA [144]

<span>The equation given as p varies directly with d and inversely with the square root of u is written as:
</span>
p = k1d
k1 is the proportionality constant.
and p = k2 $\frac{1}{ \sqrt{u} }$
here k2 is the proportionality constant.

Thus,
combining both equations we get, p = C $\frac{d}{ \sqrt{u} }$
where K = K1*K2, K is the proportionality constant.

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3 years ago

Which of the following statements is true of chords?

nydimaria [60]

All of those are true, except the one about the radius. Because alternate definition of diameter uses the idea of chord. So, both ends of a chord have to be on the circle, but one end of a radius is at the center, so a radius can't be a chord.

6 0

3 years ago

Solve the equation b over 27 equals negative 3 for b.

soldi70 [24.7K]

The solution of the equation is as follows;

b = -81
v = 7
x = -32

<h3>How to solve equations?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The expression can be solved as follows:

b / 27 = - 3

cross multiply

b = -3 × 27

b = - 81

42 = v + 35

subtract 35 from both sides of the equations.

42 - 35 = v + 35 - 35

v = 42 - 35

v = 7

- 128 = 4x

divide both sides of the equations by 4

4x / 4 = - 128 / 4

x = - 32

learn more on equation here: brainly.com/question/1918545

#SPJ1

6 0

1 year ago

Read 2 more answers