Without drawing the graphs, find the points of intersection of the lines:

Hi !! can someone help prove these please

beks73 [17]

Step-by-step explanation:

Here's the first one for ya. I can't tell what the first denominator of the second one is [CosB, CscB, or SecB?], so unless you get back to me on that, then I can't help you with it.

5 0

2 years ago

Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm.

Sliva [168]

Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.

6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere = 904.78 cc

24 cm sphere = 4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere = 57,905.84 cc

Comparing the volumes: 57,905.84 / 904.78 = 64

7 0

3 years ago

Translate the question into a mathematical expression. The quotient of two and a number times seven

goblinko [34]

Answer:

2n * 7

Step-by-step explanation:

3 0

2 years ago

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a we

expeople1 [14]

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

4 0

3 years ago

I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

Given function expression

$f(x)=x^3-2x^2$

Given the requirement of the question

To find the expression for f(i)

Substitute values into the expression

$f(x)=(i)^3-2(i)^2$

Simplify the exponents

$f(x)=(-i)-2(-1)$

Expand the parenthesis

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

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