A system of inequalities is shown below.
y < -1
2x - y < 2
In which quadrants is the solution set of the system?

Answer:

To be complement sum of angle must be 90°

But to be supplement sum of angle must be 180°

Step-by-step explanation:

Answer:

y = -1/2 is the answer to 125=(1/25)^(y-1)

Answer:If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this.

Step-by-step explanation:g

Answer:

Step-by-step explanation:

no its not

its 68.75

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

Answer:

AB is the diameter,,,,,,,,,

Answer:

160

Step-by-step explanation:

divided 7200 by 45 to get 160

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Answer:

a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]

This probability is:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]

0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.

This is

[tex]P(X > 1) = 1 - P(X < 2)[/tex]

We have that [tex]P(X < 2) = 0.1992[/tex]

So

[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]

0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Answer:

the sum of all even number from 0 to 420 is 175980

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

Answer:

I think the option B is the answer -9/4 divided by (-2/3)

I hope this might help u

Answer:0=−6

Step-by-step explanation:

Answer:

63c^5

Step-by-step explanation:

Answer:

(5x3m) + (5x2) = 15m + 10

Step-by-step explanation:

multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10

Answer:

a. 42

b. 122

a. 57

b. 130

Step-by-step explanation:

For problem A:

because both of these values have positive numbers, just use normal subtraction

82 - 40 = 42 degrees warmer

For problem B:

because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40

82 - -40 = 122

For problem A:

the sentences 30m up a cliff and 87m up a cliff are describing positive values.

87 - 30 = 57

For problem B:

Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value

how do I know this?

if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)

0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value

by using a number line, you can draw it out like this

below the surface-------------------------the surface----------------------------above the surface

-30--------------------------------------------0--------------------------------------------100

therefore, 100 - - 30 = 100 + 30 = 130

Answer:

$1,344.00

Step-by-step explanation:

A=P(1+rt)

A=1,200(1+(0.04)(0.03))

Answer:

36.1

Step-by-step explanation:

8 inch radius:

area: 200.96

circum: 50.25

12 yd rad:

area: 452.16

circum:75.36

20 ft dia:

area: 314

circum:62.8

36 dia:

area:1017.36

circum: 113.04

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

Answer:

i think the first one maybe... not so sure

Answer:

Should be B and D

Step-by-step explanation:

You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.

Answer:

This is a rectangle

Step-by-step explanation:

2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book

Step-by-step explanation:

Answer:

Here you go. Check the answer in book too.

Answer:

10m ( p - q )

Step-by-step explanation:

[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]

[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]

[tex] \frac{10lm(p - q)}{l} [/tex]

[tex]10m(p - q)[/tex]

Hope it is helpful....

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

Learn more about triangular prism here

https://brainly.com/question/15070306

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Answer:

x(the number)=3

Step-by-step explanation:

3×3+3squared = 18

Answer:

3x + x^2 = 18

x^2 + 3x - 18 = 0

(x + 6)(x - 3) = 0

x + 6 = 0

x = -6

x - 3 = 0

x = 3