What is the equation 5y+22=5x-33 written in slope intercept form

Answer:

1 m&m

Step-by-step explanation:

in order to find out how many will be left you will make the number of m&ms even causing it to have an even amount left over.

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

The expected value of the car representing the delay of the car at one of the light as per distribution of time is given by option d. 2/3.

For the probability density function of X.

Divide the interval from 0 to 3 minutes into three sub-intervals,

The first minute, during which the car will pass the intersection if the light is green.

The second minute, during which the car will be delayed by one minute if the light is red.

The third minute, during which the car will be delayed by two minutes if the light is red.

The probability of the car arriving during the first sub-interval is 1/3.

If the light is green, the car will pass immediately with no delay.

If the light is red, the car will be delayed by one minute.

So the probability density function of the delay during this sub-interval is,

f(x) ={  1/3, if 0 ≤ x ≤ 1

         0,     otherwise  }

Probability of the car arriving during the second sub-interval is also 1/3.

If the light is red, the car will be delayed by one minute.

If the light is green, the car will be delayed by two minutes.

So the probability density function of the delay during this sub-interval is,

f(x) = { 1/6,      if 1 ≤ x ≤ 2

         1/3,       if 2 ≤ x ≤ 3

         0,          otherwise }

Probability of the car arriving during the third sub-interval is also 1/3.

If the light is red, the car will be delayed by two minutes.

If the light is green, the car will be delayed by three minutes.

But since the car cannot wait for more than three minutes, the delay during this sub-interval is bounded by 2 minutes.

So the probability density function of the delay during this sub-interval is,

f(x) = {  1/6,     if 2 ≤ x ≤ 3

             0,      otherwise  }

Now,

calculate the expected value of X by integrating the product of the delay and the probability density function over the entire range of possible delays

E(X) = \(\int_{0}^{3}\) x f(x) dx

= \(\int_{0}^{1}\)0 dx + \(\int_{1}^{2}\) x (1/6) dx + \(\int_{2}^{3}\) x(1/6) dx

= (1/6)(1/2)  [(2^2 - 1^2) + (3^2 - 2^2)]

= (1/12) [ 3 + 5 ]

= 8/12

= 2/3

Therefore, the expected value of the delay of the car at the light is equal to option d. 2/3.

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Answer:

1/14

Step-by-step explanation:

all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.

The set of equation that models the point of intersection of the arrow

and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

The given parameters are;

Point of intersection of the line and the parabola is the point (48.63, 10.7)

Therefore, the point (48.63, 10.7) satisfies both the equation of the

parabola and the equation of the line, which by plugging in the value x =

48.67 in the different parabolas, we have;

The first set;

The linear function in the first set should be excluded, given y ≠ x in the

ordered pair.

In third set, y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, while, from the

ordered pair, we have;

y = C·x

10.7 = 48.63·x

\(C = \dfrac{10.7}{48.63} \approx \mathbf{0.22}\)

Therefore;

y ≈ 0.22·x

The set of equations that best models the point of intersection of the arrow and target are therefore;

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Answer:

7x

Step-by-step explanation:

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer: Parents and children ( till the age of 5) of Norway

Step-by-step explanation:

Here, A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five.

Since the study involved a large random sample of mothers and children and was conducted over several years.

So, the population of interest in this survey is "Parents and children ( till the age of 5) of Norway".

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

-1/2

Step-by-step explanation:

Answer:

B*

Step-by-step explanation:

The additive inverse of any number x is the number that gives zero when added to x

The time that you will arrive in Nashville is 1:33.

From the information given, the person leaves Knoxville at 11:13, and the journey takes 2 hours and 20 minutes.

Therefore the time when the person will arrive will be the addition of the time given.

This will be:

= 11:13 + 2:20

= 1:33

Therefore, the person will arrive by 1:33.

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Answer: HUNYAAAHH

Step-by-step explanation:

Answer:

If you simplify the answer you will get...−12x^5 + 20x^3 - 16x^2

Step-by-step explanation:

Hope this helps!

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

The difference is TR(004)

Step-by-step explanation:

Given;

TR(321) and

TR(325)

The difference is given by;

TR(325) - TR(321)  = TR(004)

Therefore, the difference is TR(004).

you get 1294.

TR(325) is 52975,

TR(321) is 51681

you minus, and get

1294!

Answer: 26) slope= 5/4 27) slope= -1/7

Step-by-step explanation:

You use the formula y2-y1 over x2-x1 and get your slope.

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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The possible fraction n is n = 5/8

From the question, we have the following statement that can be used in our computation:

The fraction is between 1/2 and 3/4.

This fraction is represented by n

So, we have

n is between 1/2 and 3/4.

The fractions 1/2 and 3/4 can be rewritten as

1/2 = 4/8

3/4 = 6/8

This means that

n is between 4/8 and 6/8

The number 5 is between 4 and 6

So, we have

5/8 is between 4/8 and 6/8

This means that

n = 5/8

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Answer:

x=5

Step-by-step explanation:

10x + 3 = 9 x -2

10•x + 3 = 9•x -2

The elevation of the plane before its descent is 8.75 miles.

Given that, an airplane descends 1.5 miles to an elevation of 7.25 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the elevation of the plane before its descent be x.

So, x-1.5=7.25

Now, add 1.5 to each side of the equation to solve for x while keeping the equation balanced.

x-1.5+1.5=7.25+1.5

x=8.75 miles

Therefore, the elevation of the plane before its descent is 8.75 miles.

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Step-by-step explanation:

Log(x²+8)=log 10+ log x

Log(x²+8)=log(10×x)

x²+8=10x

x² - 10x + 8=0

x is approximately to - 1 and - 8✅

The solutions to the given equation are x = -1 and x = 8.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

Using logarithmic properties, we can simplify the given equation:

logs(x² + 8) = 1 + log g(x)

logs(x² + 8) - log g(x) = 1

log[(x² + 8)/g(x)] = 1

(x² + 8)/g(x) = 10

x² + 8 = 10g(x)

Now we can solve for x by substituting the given answer options and solving for g(x):

For x = -2 and x = -4:

x = -2:

(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).

So x = -2 is not a solution.

x = -4:

(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).

So x = -4 is not a solution.

For x = -1 and x = 8:

x = -1:

(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = -1 is a solution.

x = 8:

(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.

So x = 8 is a solution.

For x = 1 and x = -8:

x = 1:

(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = 1 is a solution.

x = -8:

(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).

So x = -8 is not a solution.

Therefore,

The solutions to the given equation are x = -1 and x = 8.

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The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

36

Step-by-step explanation:

Width = x

Length = 4x

Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)

30 (because 30 is given as the perimeter) = x + x + 4x + 4x

30 = 10x

x = 3

Width = 3

Length = 4(3) = 12

Area = Width * Length

Area = 3 * 12 = 36

The area of the rectangular sign is equal to 36 square inches, if its perimeter is 30 inches.

Given the following data:

Translating the word problem into an algebraic equation, we have;

\(L = 4W\)

Mathematically, the perimeter of a rectangle is given by the formula;

\(P = 2(L+W)\\\\30 = 2(4W + W)\\\\30 = 2(5W)\\\\30 = 10W\\\\W = \frac{30}{10}\)

Width, W = 3 inches

For its length:

\(L = 4W\\\\L = 4(3)\)

Length, L = 12 inches.

Now, we can determine the area of the rectangular sign by using the formula:

\(Area = LW\\\\Area = 12(3)\)

Area = 36 square inches.

Therefore, the area of the rectangular sign is equal to 36 square inches.

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