MATHEMATICS HIGH SCHOOL

Simplify. 5^-1(3^-2) (1 point)

Answers

Answer 1
Answer: 5^-1x3^-2=1/5x1/3^2=1/5x1/9=1/(5x9)=1/45
Answer 2
Answer:

Answer:

1/45

Step-by-step explanation:

Related Questions

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria after 7 hours? B(t)=4*e^0.8t Answers: A. 45,674 / B. 1082 / C. 270 / D. 635,818
13 squared? how does it mean and what is the solution?
A car enters an interstate highway 20 mi north of a city. The car travels north at an average speed of 58 mph. Which equation models the car’s distance d from the city after traveling for h hours?
What is the graph of the inequality 3x+2y>-5
Find the measures of the angles.A. m∠x B. m∠y A. m∠x = 50° m∠y = 135° B. m∠x = 125° m∠y = 50° C. m∠x = 50° m∠y = 125° D. m∠x = 135° m∠y = 50°

John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10.What is the probability that he either hits a Bull’s eye or scores 10 points?
a. 1/3
b. 2/3
c. 3/5
d. 2/5
e. 1/4

Answers

The correct answer for the question that is being presented above is this one: "d. 2/5." John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10. The probability that he either hits a Bull's eye or scores 10 points is 2/5

Answer: The correct option is (d). (2)/(5).

Step-by-step explanation: Given that John is playing a game of darts. The probability that he throws a dart into the centre of the dart board (the Bull’s eye) is (1)/(10) and the probability that he throws the dart into the 10-point ring is (3)/(10).

We are to find the probability that he either hits a Bull’s eye or scores 10 points.

Let, 'A' and 'B' represents the events that John throws the dart into a Bull's eye and 10-point ring respectively.

Then, according to the given information, we have

P(A)=(1)/(10),~~P(B)=(3)/(10),~~~P(A\cup B)=?

Since John cannot throw the dart into the Bull's eye and 10 point ring together, both the events are independent of each other.

Therefore,

P(A\cap B)=0

From the theorems of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)=(1)/(10)+(3)/(10)-0=(4)/(10)=(2)/(5).

Therefore, the probability that John either hits a Bull’s eye or scores 10 points is (2)/(5).

Thus, (d) is the correct option.

A rectangular painting measures 15 inches by 18 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 90 inches. Determine the width of the frame.

Answers

Answer:

3 inches

Step-by-step explanation:

Lenght = 18 inches

Width =15 inches

Perimeter of the rectangular painting and frame = 90 inches

Let X be the width of the frame

The width of the framed picture = 15 + 2x

The length of the framed picture = 18 + 2x

Perimeter = 2 (L + W)

90 = 2(15 + 2x + 18+ 2x)

90 = 2(33 + 4x)

90 = 66 + 8x

8x = 90 - 66

8x = 24

x = 24/8

x = 3 inches

the width of the frame is 3 inches

Final answer:

To determine the width of the frame, subtract twice the frame width from the length and width of the outer rectangle and set up an equation based on the perimeter.

Explanation:

To determine the width of the frame, we need to first find the dimensions of the inner rectangle formed by the painting. If we subtract twice the frame width from the length and width of the outer rectangle, we get the length and width of the inner rectangle. Let's call the width of the frame 'x'.

The length of the inner rectangle is 15 inches - 2 inches, and the width of the inner rectangle is 18 inches - 2 inches. The perimeter of the inner rectangle is the sum of its four sides, which can be calculated using the

formula P = 2l + 2w. We know that the perimeter of the inner rectangle is 90 inches, so we can set up the equation:

90 = 2(15 - 2x) + 2(18 - 2x)

Solving this equation will give us the value of 'x', which represents the width of the frame.

Learn more about the Dimensions of a rectangular frame here:

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Which expression can be used to find 40% of 130

Answers

this is how I do it :)


if it helps you any just translate 40% to .4 just do 40/100, there are two zeros in 100 so move the decimal of 40. over two places          40%=40/100=.4

130*.4=52 so therefore 52 is 40% of 130

130 x .4 = 52

52 is 40% of 130

What is the length of the altitude of the equilateral triangle below

Answers

The solution is, The length of the altitude of the equilateral triangle is 9.

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

here, we have,

The given triangle is an equilateral triangle.

Here, a is a median which bisects the base. It also serves as an altitude, as it is an equilateral triangle.

As the triangle can be divided into two right angle triangle,

Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        

But sin60° = √3/2

so, we get,

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3

  = 9

Hence, Option E. The solution is, The length of the altitude of the equilateral triangle is 9.

To learn more about trigonometric relations click :

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Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3 = 9

Option E.

Hope this helps.

Find 2 consecutive odd numbers given that difference between their resiprocal is 2/63

Answers

consecutive odd numbers are 2n+1, 2n+3

difference of reciprocals
1/(2n+1) - 1/(2n+3) = 2/63
((2n+3) - (2n+3))/(2n+1)(2n+3) =2/63
2/(4n^2 + 8n +3) =2/63
4n^2 + 8n +3 = 63
4n^2 + 8n -60 = 0
n^2 + 2n - 15 = 0
(n + 5)(n - 3) = 0
n = 3 (only positive)
numbers are 2(3)+1=7 and 9
Those odd numbers are nine and seven.

Brennan is planting seeds. He has 1/5 of a pack of seeds and 5 flower pots. What fraction of a pack of seeds will be planted in each pot if he wants to use the same amount of seeds in each pot?

Answers

(1/5)/(5)=(1/5)(1/5)=1/25 of a pack of seeds will be planted in each pot

Answer:

1/5 divided by 5  or you van also do the answer which is 1/25

Step-by-step explanation:
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