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3 years ago

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters.

1 answer:

7 0

Volume = Length x Width x Height
Volume = 1 1/4 x 4 x 3 1/4
Volume = 5/4 x 4 x 13/4
Volume = 5 x 13/4
Volume = 65/4
Volume = 16 1/4 cm³

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The blood mass of a mammal is proportional to its body mass. A rhinoceros with body mass 3000 kilograms has blood mass of 150 ki

coldgirl [10]

Answer:

The equation which equates the two is M = $\frac{B}{20} = 0.05B$

A human with a body mass of 80 kilograms will have a blood mass of 4 kilograms.

Step-by-step explanation:

It is said that the blood mass is proportional to the body mass.

We can say that the blood mass of a mammal is M, and that the body mass of a mammal is B.

Since the two are proportional we can write

M ∝ B , or M = kB where k is the constant of proportionality.

Using the given values for a rhinoceros we can write

150 = k × 3000

Therefore k = $\frac{150}{3000} = \frac{1}{20} = 0.05$

Therefore the equation which equates the two is M = $\frac{B}{20} = 0.05B$

A human with a body mass of 80 kilograms will have a blood mass of

= $\frac{80}{20} = 4 kilograms$

8 0

4 years ago

2. Find the stationary points for the function

vovikov84 [41]

Answer & step-by-step explanation:

Stationary points are the points where the first derivative is equal to zero.

Let's calculate it using the power rule (exponent comes forward, decrease exponent by 1) and the fact that the derivative is a linear operation (that is $D[a\ f(x) + b\ g(x)] = a Df(x) + b Dg(x)$ )

The first derivative is then

$y' = \frac13 (3x^2) - \frac12 (2x) -6 = x^2-x-6 = (x+2)(x-3)$

Note that the last passage is not strictly needed, but it's really helpful to find stationary points, when in this next passage we set it equal to zero. Alternatively, you can use the quadratic formula if you can pull the factors out of your head right away.

$y'=0 \rightarrow (x+2)(x-3) = 0 \implies x=-2 || x=3$

These two point could be maxima, minima, or inflection points. To check them you can either see how the sign of the first derivative goes, or check the sign of the second derivative, as you're required.

The rules states that if the second derivative evaluated in that point is negative we have a maximum, if it's positive we have a minimum, and if we have a zero we keep derivating until we get a non-zero value.

In our case, the second derivative we get by calculating the derivative again and we get $y'' = 2x-1$ . Evaluating it at both points we get

$y''(-2) = 2(-2)-1 = -5\\y''(3) = 2(3) -1 = 5$

so -2 is a maximum and 3 is a minimum.

5 0

2 years ago

Read 2 more answers

What is the fraction 4/12+6/12

dsp73

10/12=5/6. When denominators are the same, add numerators and use same denominator. Then simplify

6 0

4 years ago

Read 2 more answers

Pls help i will give brainly!!!

Hatshy [7]

Answer:

Greatest population density: Denmark

Smallest population density: The U.S.

Step-by-step explanation:

Population density = population / area

So let's find the population density of each country

For U.S

Population: 272,648,000

Area: 9,364,520 sq km

Population density: 272,648,000/9,364,520=29.1 ( rounded to the nearest tenth )

So the population density of the U.S is 29.1 people per sq km

For Denmark

Population: 5,248,000

Area: 42,077

Population density: 5,248,000/42,077=124.7 ( rounded to the nearest tenth )

So the population density of Denmark is 124.7 people per sq km

For Ghana

Population: 18,339,000

Area: 237,533

Population density: 18,339,000/237,533=77.2 ( rounded to the nearest tenth ).

So the population density of Ghana is 77.2 people per sq km

Now that we have calculated the population density of each country let's look back at the question

Which country has the greatest population density? Which country has the least?

Looking at the population densities we can conclude that Denmark has the largest population density at 124.7 people per sq km and the U.S. has the smallest population density at 29.1 people per sq km

3 0

3 years ago

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A gift company sell carved rectangular signs. The company charges by the área of the sign. A sign has an área of 120 square inch

lorasvet [3.4K]

Answer: 24

Step-by-step explanation:

4 0

4 years ago