36 hours to 2 days
The ratio is
(Type an integer or a simplified fraction)

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer: B

Step-by-step explanation:

The width = 23/4

The length = 2 × the width = 2 × 23/4 = 23/2                

The perimeter of the rectangle = 2 ( length + width)

                                                    = 2 (23/2 + 23/4 )

                                                    = 2 ( 69/4)

                                                    = 69/2

                                                    = 34 .1/2

Answer:

\(\displaystyle T_6=\frac{448}{729} f^2t^6\)

Step-by-step explanation:

Binomial Theorem

Any power of x + y can be expanded into a sum of the form:

\(\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}\)

For any given term k, counted from 0 to n:

\(\displaystyle T_k={n \choose k}x^{n-k}y^{k}\)

Note if we have to find the 7th term, we have to use k=6. The expression is:

\(\displaystyle \left(4f+\frac{t}{3}\right)^8\)

For n=8, x=4f, y=t/3, k=6:

\(\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}\)

\(\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}\)

\(\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}\)

Calculate:

\(\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28\)

Thus:

\(\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}\)

Simplifying, the 7th term is:

\(\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}\)

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100

The system of equations is x + y = 16 and y = 2x - 2

The number of shirts and pairs of pants Sylvia brought are 10 and 6, respectively

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

When the statements are interpreted, we have the system of equations to be

x + y = 16

y = 2x - 2

In (a), we have

x + y = 16

y = 2x - 2

This gives

x + 2x - 2 = 16

Evaluate the like terms

3x = 18

Divide

x = 6

Recall that

y = 2x - 2

So, we have

y = 2 x 6 - 2

y = 10

Hence, the number of shirts she packed is 10

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Answer:

the ratio of 5 to 15 is

1/3  hope i helped please check out my latest question i need help with homework

Step-by-step explanation:

its simplified

Answer:

Yes.

Step-by-step explanation:

To solve this, simply substitute the points into the equation:

7 = 4 + 3

7 = 7

Therefore, (4,7) is on the line.

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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Answer:

There are 37 natural numbers between 34 and 72.

There are 25 whole numbers between -2 and 25.

Step-by-step explanation:

1. Natural numbers between 34 and 72

2. Whole numbers between -2 and 25

1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.

2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

We are given that 50% of the ELTs are made by Company A, 45% are made by Company B, and 5% are made by Company C. We also know the rate of defects for each company's ELTs: 4% for Company A, 6% for Company B, and 9% for Company C.

Let D be the event that an ELT is defective, and let Bi be the event that an ELT was made by Company i, where i = A, B, or C. We want to find the probability that an ELT is made by Company B given that it is defective, i.e., we want to find P(B|D).

Using Bayes' theorem, we can write:

P(B|D) = P(D|B) * P(B) / P(D)

where P(D|B) is the probability that an ELT made by Company B is defective, P(B) is the prior probability that an ELT is made by Company B, and P(D) is the overall probability of an ELT being defective.

We can calculate each of these probabilities as follows:

P(D|B) = 0.06 (given)

P(B) = 0.45 (given)

P(D) = P(D|A) * P(A) + P(D|B) * P(B) + P(D|C) * P(C)

= 0.04 * 0.5 + 0.06 * 0.45 + 0.09 * 0.05

= 0.0355

Substituting these values into Bayes' theorem, we get:

P(B|D) = P(D|B) * P(B) / P(D)

= 0.06 * 0.45 / 0.0355

≈ 0.762

Therefore, the probability that an ELT made by Company B is defective given that it is found to be defective is approximately 0.762, or 76.2%.

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Step 1:

Write the given coordinates

(4 , -7) and (-3 , 5)

Step 2:

Write the two points equation of a line formula

Step 3:

Write the data

Step 4:

Final answer

Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer: 0.9577

Step-by-step explanation:

Formula for margin of error (E):

\(E= z^*\sqrt{\dfrac{p(1-p)}{n}}\) , where p = sample proportion, n =sample space, z* critical z-value.

Given: n= 200

\(p=\dfrac{147}{200}\)

Critical value for 97% confidence level = 2.17

Margin of error (E) = \(2.17\sqrt{\dfrac{147}{200}(1-\dfrac{147}{200})}\)

\(=2.17\sqrt{\dfrac{147}{200}(\dfrac{53}{200})}\\\\=2.17\times \sqrt{0.194775}\\\\=2.17\times0.441333207452\approx0.9577\)

Hence, the margin of error for a 97% confidence interval = 0.9577

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

<95141404393>

We first look at the z-score on Exam A. The z-score can be computed as follows:

Using the formula for z-score, we derive the equation solving for x to find the score of Sebastian in Exam B, as follows:

The z-score is already computed above. Also, the mean and standard deviation on Exam B is already given. We can plug it on the derived equation and solve for x, as follows:

Therefore, Sebastian must get a minimum score of 240 so that he can do equivalently as well as he did on Exam A.

Answer: 240 pts on Exam B

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

3

Step-by-step explanation:

Answer:

(a)

Snow Dome Ski: y = 65 + t

Mt. Winterpark: y = 74 + ½t

(b) Hours greater than 18

Step-by-step explanation:

Given

Snow Dome Ski

Base Snow = 65in

Rate = 1 in per hour

Mt. Winterpark

Base Snow = 74 in

Rate = ½ in per hour

Solving (a): Equation for both

To determine the amount of snow (y) at time (t) for any of the two, we make use of:

y = Base Snow + Rate * t

For Snow Dome Ski:

y = 65 + 1 * t

y = 65 + t

For Mt. Winterpark

y = 74 + ½ * t

y = 74 + ½t

Solving (b): When snow dome will have more snow.

To solve this, we set the following inequality

Snow Dome Ski > Mt. Winterpark

This gives:

65 + t > 74 + ½t

Collect Like Terms

t - ½t > 74 - 65

½t > 9

Multiply both sides by 2

t > 18

This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.

After 18 hours means, hours greater than 18 which could be 19, 20, 21.....

Answer:

y = 6x + 4

Step-by-step explanation:

Find the slope (m) of the line that contains (1, 10) and (0, 4).

Slope = ∆y/∆x = (4 - 10) / (0 - 1) = -6/-1

Slope (m) = 6

Find the y-intercept (b):

y-intercept (b) is 4 because it is the value of y when x = 0.

To write the equation in slope-intercept form, substitute m = 6 and b = 4 into y = mx + b.

Thus:

y = 6x + 4

Answer:

76.5 hours

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

Part 1 of 2:

(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:

P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]

Simplifying the equation:

P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)

Part 2 of 2:

(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.

Using the simplified equation from part (a), we substitute x = 30 and solve for y:

800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]

800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))

Now, we can solve for y:

800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)

Simplify the equation:

800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y

Combine like terms:

800 = 300 - 60 + 9.25y - 1.85y - 0.1295y

800 = 240 + 7.32y

Subtract 240 from both sides:

560 = 7.32y

Divide both sides by 7.32:

y ≈ 76.5

Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.

Another equivalent equation to the equation (4x • 7)(5x • 9) is 28x(45x) respectively.

Equivalent equations in algebra are those that have equivalent roots or solutions.

In order to produce an equivalent equation, the same quantity or expression must be added to or subtracted from both sides of the original equation.

If you multiply or divide an equation's two sides by the same non-zero number, the results are identical.

If x4=2x+7, we can add 4 to both sides to get the following equation, which is equivalent: x4+4=2x+7+4.

So, we have the equation:

(4x • 7)(5x • 9)

Then, another equation that will be equivalent to the given equation can be:

(4x • 7)(5x • 9)

(28x)(45x )

Then,

28x(45x)

So,

(4x • 7)(5x • 9) = 28x(45x)

Therefore, another equivalent equation to the equation (4x • 7)(5x • 9) is 28x(45x) respectively.

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Answer:

78 buttons left

Step-by-step explanation:

I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.

Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)

We need to know about triangles to solve the problem. The true value of x is given by 2<x<6, option (D) is the correct answer.

In the given question we know the value of three segments in terms of x. We need to find the value of x if these three segments form a triangle. For a triangle, the sum of two sides is always bigger than the third side, we will use this condition to find the value of x. We will sum up two sides and create an inequality with the third side.

adding AB and BC

x+4x+9>6x+3

5x+9>6x+3

x<6

adding AB and AC

x+6x+3>4x+9

7x+3>4x+9

3x>6

x>2

Therefore the value of x can be given by 2<x<6, option (d) is the correct answer.

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