What is x2-30x+144=0

Simplify -3i sqrt -40 Enter your answer in simplest radical form

Mariulka [41]

Answer:

Step-by-step explanation:

-3i √(-40) = -3i √40i² ...(i² = - 1)

= -3i √40 i

-3i √(-40) = 3√40

6 0

3 years ago

A spinner has equal regions numbered 1 through 20. What is the probability that the spinner will stop on an odd number or a mult

klio [65]

Answer:

Probability that the spinner will stop on an odd number or a multiple of 5 is 0.6

Step-by-step explanation:

Probability = $\frac{Required outcomes}{Total possible outcomes}$

We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20

Total possible outcomes: 20

Outcomes that spinner will stop on an odd number, n(Odd): 10

1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Probability of spinner stoping on Odd number:

P(Odd) = $\frac{n(Odd)}{Total}$ = $\frac{10}{20}$ = $\frac{1}{2}$ = 0.5

Outcomes that spinner will stop on a multiple of 5, n(5): 4

5, 10, 15, 20

Probability of spinner stoping on multiple of 5:

P(5) = $\frac{n(5)}{Total}$ = $\frac{4}{20}$ = $\frac{1}{5}$ = 0.2

Odd numbers which are a multiple of 5 are: 5 and 15

So,

P(Odd and 5) = $\frac{2}{20}=\frac{1}{10}=0.1$

Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:

P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6

7 0

3 years ago

Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities?

lina2011 [118]

$\bf \begin{array}{ccllll}
inches&miles\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1.1&15\\
9.7&x
\end{array}\implies \cfrac{1.1}{9.7}=\cfrac{15}{x}\impliedby \textit{solve for "x"}$

5 0

3 years ago

Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the

Elena L [17]

PART 1:55-21=35
35/60=.58333
360×.58333 =210 DEGREES
210*pi/180 = 3.665 RADIANS

PART 2: (pi) x 2r x .58333
3.14 x 12 x .58333 = 21.98 in

PART 3: 5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians

PART 4: 2.618 radians * 180/pi = 150° 
 x coordinate = 6(cos 150°) = -5.196 
 y coordinate = 6(sin 150°) = 3 
 the coordinates would be (-5.196, 2)

7 0

3 years ago

Read 2 more answers

Write the equation of a line with a slope of −2 and a y-intercept of 5. (2 points) Question 1 options: 1) −2x + y = 5 2) 2x − y

aleksandr82 [10.1K]

Answer:

3 is the answer

Step-by-step explanation:

8 0

3 years ago