All categories

3 years ago

I need help with #10.

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

Answer:

#10=10

Step-by-step explanation:

You might be interested in

Suppose you are managing 15 employees, and you need to form three teams to work on different projects. Assume that all employees

Afina-wow [57]

Answer:

There are 17,418,240 different ways to choose the teams.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

$A_{n} = n!$

In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?

This is:

Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So

$T = A_{9}*A_{4}*A_{2} = 9!*4!*2! = 362880*24*2 = 17418240$

There are 17,418,240 different ways to choose the teams.

7 0

3 years ago

How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Marta_Voda [28]

Answer: $45.03\ ft$

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is $\theta =30^{\circ}$

Suppose the height of the building is $h$

From the figure, we can write

$\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft$

The height of the building is 45.03 ft

8 0

2 years ago

Help please i don’t know how to do it

Norma-Jean [14]

Answer:

Step-by-step explanation:

$\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\$

From the initial condition,

$\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C$

So we have that $\ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1$

4 0

2 years ago

An angle measures 28º less than the measure of its complementary angle. What is the measure of

GuDViN [60]

Answer:

Let the angle=x

So the other angle will be = y

X-28 +y=90

5 0

2 years ago

If f(x)=-3x +2, find<br><br> c) x if f(x) = 0.

monitta

Answer:

f(0)=2

Step-by-step explanation:

f(x)=-3x +2

f(0)=-3(0) +2

f(0)= 0 +2

f(0)=2

4 0

2 years ago