Jason Typed he types of 1260 word paper  in 30 minutes. At that rate, how long would it take him to type a 2100 word paper?

Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

9514 1404 393

Answer:

  1

Step-by-step explanation:

The right triangle is isosceles, so x = 45° and tan(x) = 1.

__

You can determine tan(x) either from your knowledge of trig function values, or from the fact that the two legs of the triangle are of equal length. The tangent is the ratio of the opposite leg to the adjacent one. When those legs are the same, the ratio is 1.

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

-6.48 > -6.5

5.983 < 5.99

3.09 > 3.01

Hope it helps

The distribution of the number of cars on the highway during two hours follows a binomial distribution with parameters n=2 and p=0.86, and the expected number of cars that will pass the highway before the first truck is approximately 1.16 cars.

(a) The distribution of the number of cars on the highway during two hours follows a Poisson distribution with a rate of 300 cars per hour. Since each vehicle is a car with a probability of 86%, we can use the binomial distribution to determine the probability of a specific number of cars in the two hours. The probability mass function of the number of cars, denoted by X, can be calculated as \(P(X = k) = (2Ck) * (0.86)^k * (0.14)^2^-^k\), where k ranges from 0 to 2. This gives us the probability distribution of the number of cars in the two hours.

(b) To determine the expected number of cars that will pass the highway before the first truck, we can utilize the geometric distribution. The probability of a car passing the highway before the first truck is 86%. Therefore, the expected number of cars, denoted by Y, can be calculated as \(E(Y) = 1 / 0.86 = 1.16\) cars. This means that on average, approximately 1.16 cars will pass the highway before the first truck.

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Answer:

-9.67

Step-by-step explanation:

sqr of 40 is 6.3245553203367586639977870888654

plus -16

You end up with -9.67

The value is approximately -9.7.

The square root of 40 is approximately 6.324555. When you add this to -16, you get -9.675445.

Rounded to the nearest tenth, the value is approximately -9.7.  When we round this result to the nearest tenth, it becomes -9.7. This process involves calculating the square root of 40 and then summing it with -16 to determine the combined value.

Rounding to the nearest tenth means adjusting the number to the closest multiple of 0.1. This is useful for simplifying values and providing a more manageable representation of the result, giving a clearer sense of the number's magnitude. In this case, -9.7 gives a reasonably accurate estimate of the sum of the square root of 40 and -16.

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Notice that the total probability is distributed in 8 minutes. Furthermore, the total probability has to be equal to 1, then:

Where h is the height of the distribution. The first answer is 0.125.

b) Notice that 16-13=3 min. Therefore, the probability we are looking for is:

c) Notice that the probability for the bus to arrive before 15 minutes is:

Thus, the probability that will we wait more than 15 minutes is:

The third answer is 0.25

d) The probability that one will wait at most 15 minutes was found in the previous step:

The fourth answer is 0.75

A sample statistic is is any quantity from the sample of a population.

We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.

Thus, the correct option is the last one.

Using linear equations, Sandi and Felipe have raised the same amount of money after 4 miles.

We can calculate using linear equations

Formulate based on the criteria stated: 30 +2.5 x x = 20 + 5 × x

Unknown terms should be moved to the left side of the equation:

2.5x-5x= 20-30

combining similar terms

-2.5x = 20 - 30

Determine the total or difference: 2.5x = -10

Subtract the coefficient of the variable from both sides of the equation: = -10 ÷ (−2.5)

Take the parenthesis out: 10 ÷ 2.5 =

Determine the quotient or product:

x = 4

find the outcome: = 4

Response: x = 4.

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Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

Answer:

52,338

Step-by-step explanation:

The set of real values for a and b such that 3a(b) is defined in R can be expressed as:

S = {(a, b) | a, b ∈ ℝ}

To determine all real values of a and b such that 3a(b) is defined in R, we need to ensure that both a and b are real numbers.

Since a and b are independent variables, any real values for a and b will satisfy the condition, and there are infinitely many solutions. Therefore, the set of real values for a and b can be expressed as:

S = {(a, b) | a, b ∈ ℝ}

Now, let's determine the solution set, S, to the given system of linear equations:

2.01x - 12y + 2√3z + 4.64w = 0

0x + 3.14y + 0z + 2.11w = 12

We can rewrite the system of equations as an augmented matrix:

[ 2.01 -12 2√3 4.64 | 0 ]

[ 0 3.14 0 2.11 | 12 ]

Using row reduction operations, we can transform the augmented matrix into its reduced row-echelon form:

[ 1 0 -0.397 5.772 | 0 ]

[ 0 1 0.000 3.795 | 12 ]

From the reduced row-echelon form, we can write the system of equations in parametric form:

x - 0.397z + 5.772w = 0

y + 3.795w = 12

We can express the solution set S as the span of one or more vectors by introducing free variables. Let's set z = s and w = t, where s and t are arbitrary real numbers.

Then, the system of equations becomes:

x - 0.397s + 5.772t = 0

y + 3.795t = 12

Now, we can express the solution set S as the span of the vectors:

S = {(0.397s - 5.772t, 12 - 3.795t, s, t) | s, t ∈ ℝ}

Therefore, the solution set S is expressed as the span of the vector (0.397, 12, 1, 0) and ( -5.772, 0, 0, 1).

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Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

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

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

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

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

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

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

x =7

Step-by-step explanation:

hope it helped

Answer:

x=7

Step-by-step explanation:

i just saw that this has been answered but i want to give an explanation incase it is needed:

•3x+4=5x-10

first move the like terms to one side of the = sign. (its best to move the smaller x value to the bigger one.

•4+10=5x-3x

then you just solve the equation on both sides:

• 14=2x

then you have to being the 2 over the = sign so that x is by itself. when you bring a divide value over the = sign it will turn into the opposite operation.

so basically you are dividing 14 by 2

•14/2 = x or 14÷2=x

which finally gives you :

x=7

hope that makes sense...

Answer:

Step-by-step explanation:

Answer:

$21.78

Step-by-step explanation:

We know that each pack of milk costs $3.96, so if we buy 5.5 of these, we will have to pay $3.96 5.5 times. In other words, we must multiply 3.96 by 5.5:

3.96 * 5.5 = 21.78

Thus, Mandy spends $21.78 in all.

Answer:

c

Step-by-step explanation:

the graph shows that becky started at ten dollars and everyday it goes down by 3 so c is the correct answer

Answer:

$5.25 for 2lbs

Step-by-step explanation:

C=total cost

C=4p-2.75

---

C=4(2)-2.75

C=$5.25

Answer:

$5.25 the expression is $4p-2.75

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Based on the given data, it seems that both the polysilicon doping level and anneal temperature can affect the base current.

To visually interpret the data, we can create a scatter plot with the polysilicon doping level on the x-axis and the base current on the y-axis, with different colors or symbols representing the different anneal temperatures. We can also create a similar plot with the anneal temperature on the x-axis and the base current on the y-axis, with different colors or symbols representing the different polysilicon doping levels.

To analyze the model, we can examine the residuals to see if they are randomly distributed around zero, indicating that the model is a good fit for the data. If the residuals show a pattern, it may suggest that the model is not a good fit.

Assuming a linear model, we can estimate the parameters using regression analysis. The model could be of the form:

Base current = β0 + β1(doping level) + β2(anneal temperature) + ε

where β0 is the intercept, β1 is the coefficient for doping level, β2 is the coefficient for anneal temperature, and ε is the error term.

Once we have estimated the parameters, we can plot the response surface to see how the base current changes as a function of both the doping level and annealing temperature. This will give us a better understanding of the relationship between these variables and the response variable.

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Answer:

Step-by-step explanation:

x > -7

Open circle means the solution does not include -7 and it is more than -7

Answer:

y-6=-7(x-3)

Step-by-step explanation:

m=y2-y1/x2-x1

m=-8-6/5-3

m=-14/2

m=-7

y-y1=m(x-x1)  point slope

Given:

The cardboard costs 0.05 per square inch

And the surface area = 286

So, the total cost is the product of the surface area and the cost per square in.

Total cost =

So, the answer will be Total cost = $14.30

The resulting matrix after the given row operations is:

15 26 26

-4 6 8

-55 -77 -72

To fill in the blanks of the resulting matrix after the given row operations, let's go step by step:

Original matrix:

3 8 2

-2 3 4

5 3 8

Row operation 1: 2R2 -> R2

After performing this row operation, the second row is multiplied by 2:

3 8 2

-4 6 8

5 3 8

Row operation 2: R1 + 3R2 -> R1

After performing this row operation, the first row is added to 3 times the second row:

15 26 26

-4 6 8

5 3 8

Row operation 3: R3 - 4R1 -> R3

After performing this row operation, the third row is subtracted by 4 times the first row:

15 26 26

-4 6 8

-55 -77 -72

So, the resulting matrix after the given row operations is:

15 26 26

-4 6 8

-55 -77 -72

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Hi student, let me help you out! :)

..............................................................................................................................................

We are asked to find the equation of the line, using the given information:

\(\star~\mathrm{-3}\), which is the slope

\(\star~\mathrm{(1,2)}\) which is a point that the line contains

\(\triangle~\fbox{\bf{KEY:}}\)

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

\(\dag~\mathtt{y=-3x+b}\)

|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

\(\dag~\mathtt{2=-3x+b}\)

Also, its x-coordinate is 1, so we substitute 1 for x:

\(\dag~\mathtt{2=-3(1)+b}\)

Now, solve for b:

\(\dag~\mathtt{2=-3+b}\)

Add 3 to both sides:

\(\dag~\mathtt{2+3=b}\)

Thus, we have

\(\dag~\mathtt{5=b}\)

Thus, the equation of the line is:

\(\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}\)

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

\(\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~}}\)

Answer:

3x + 6 = 7x - 14

4x = 20

x = 5

The number is 5.