a train is travelling at a speed of 90 miles per hour. the driver of the train plans on maintaining this speed for the next 120 miles, plus or minutes 15 miles. find the minimum and maximum numbers of hours the train will travel at that speed.

A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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Answer: the x value of the ordered pair is 0

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.

To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:

z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906

z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.

To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:

P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.

As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.

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Answer:

60 miles

Step-by-step explanation:

24 miles ÷ 2= 12

2 hours ÷ 2 =1

12 miles in 1 hour

1 hour × 5 = 5 hours

12 miles × 5 = 60 miles

60 miles in 5 hours

The following are the solution to the given inequalities;

-13 < 4x + 7 ; -5 < x

-2x + 7 < 19 ; x > -6

-45 < 5(p - 2) ; -7 < p

21 < -7(x - 2) ; -1 > x

-9x + 10 > -8 ; x < 2

2 - 6 < 3 ; -4 < 3

-13 < 4x + 7

combine like terms

-13 - 7 < 4x

-20 < 4x

divide both sides by 4

-5 < x

-2x + 7 < 19

combine like terms

-2x < 19 - 7

-2x < 12

x < 12/-2

x > -6

When dividing inequality with negative, the inequality sign will flip.

-45 < 5(p - 2)

open parenthesis

-45 < 5p - 10

-45 + 10 < 5p

-35 < 5p

-7 < p

21 < -7(x - 2)

21 < -7x + 14

21 - 14 < -7x

7 < -7x

divide both sides by -7.

-1 > x

-9x + 10 > -8

-9x > -8 - 10

-9x > -18

x > -18/-9

x < 2

2 - 6 < 3

-4 < 3

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Answer:

-1.5

Step-by-step explanation:

m=-6/4

m=-3/2

-1.5

Answer:

-3/2

Step-by-step explanation:

[4-(-2)] / [1-5] = 6 / -4 = -3/2

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

Step-by-step explanation:

From  x = -2 to x = 0 function is decreasing, but for x= -1 function doesn't exist, so we need to exclude x = -1 from (-2, 0)

The slope and y-intercept of the line that passes through the points (-2,6) and (4,-3) are - 3 / 2 and 3 respectively.

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, the slope of the line is the change in the independent variable with respect to the change in the dependent variable.

Therefore,

using (-2, 6)(4, -3)

m = slope = -3 - 6 / 4 + 2

slope = - 9 / 6

slope = - 3 / 2

Therefore, the y-intercept of the line can be found using (4, -3)

-3 = - 3 / 2(4) + b

-3 = -6 + b

b = -3 + 6

b = 3

Therefore, the y-intercept is 3

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4. (2, 16)

The vertex of a quadratic is where the function changes directions.

Finding the Vertex

As stated the vertex is where the function changed from increasing to decreasing or vice versa. Since this graph opens downward, the vertex will be where the maximum is. The maximum occurs that (2, 16). Therefore, the vertex is also at (2, 16).

Had the quadratic opened upwards, the vertex would occur at the minimum value.

Writing the Equation

Since we know the vertex, we can find the equation for the quadratic. Quadratic formulas can be written as y = a(x - h)² + k. In this formula, a is a constant that tells us whether the graph opens up or down, h is the x-value of the vertex, and k is the y-value of the vertex. So, to find the equation, we can plug in the values we know for the vertex. Then make the a-value negative because we know the graph opens down.

Answer:

To find the average rate of change of the function f(x) = 1.5x² over the interval [10, 11], we need to calculate the change in f(x) over the interval, and divide by the change in x.

The change in f(x) over the interval [10, 11] is:

f(11) - f(10) = (1.511^2) - (1.510^2) = 165 - 150 = 15

The change in x over the interval [10, 11] is:

11 - 10 = 1

Therefore, the average rate of change of the function over the interval [10, 11] is:

(15/1) = 15

This means that for every 1 cm increase in diameter (i.e., for every 1 unit increase in x), the number of calories in the pancake increases by an average of 15 calories per cm of diameter.

Therefore, the answer is (A) 150 calories per cm of diameter.

Answer:

32!

Step-by-step explanation:

area of a triangle is bh/2

the base and height are the same (8)

8*8 is 64

64 ÷ 2 is 32

A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.

One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.

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The number of $15 tickets is 3,400.

Let's suppose that x is the number of $15 tickets that were sold, and y is the number of $25 tickets sold.

The total number of tickets sold is 8,000, so we have:

x + y = 8,000 (Equation 1)

The concert generated $166,000 in revenue, so the amount of money generated by the $15 tickets is 15x and the amount of money generated by the $25 tickets is 25y.

So we can write another equation:

15x + 25y = 166,000 (Equation 2)

We can use Equation 1 to solve for y in terms of x:y = 8,000 - x

Substitute y = 8,000 - x into Equation 2 and solve for x:15x + 25(8,000 - x) = 166,000

Simplify and solve for x:

15x + 200,000 - 25x = 166,000-10x + 200,000 = 166,000-10x = -34,000x = 3,400

We know that the total number of tickets sold is 8,000, so we can use that information to find y:

y = 8,000 - x = 8,000 - 3,400 = 4,600

So there were 3,400 $15 tickets sold and 4,600 $25 tickets sold.

The number of $15 tickets is 3,400.

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Answer:

  28.5 years

Step-by-step explanation:

You want to know how many years it takes for a $210 investment to have a value of $1510 if it doubles in value every 10 years.

When an account doubles in value in 10 years, its value after t years is given by ...

  A = P(2^(t/10))

We have A=1510, P=210, and we want to find t.

  1510 = 210(2^(t/10)) . . . . . . use the given values

  1510/210 = 2^(t/10) . . . . . divide by 210

Taking logarithms gives ...

  log(1510/210) = (t/10)log(2)

Dividing by the coefficient of t, we have ...

  t = 10·log(1510/210)/log(2) ≈ 28.46

It would take about 28.5 years for the value of the account to reach $1510.

The option that is not revealed on a scatter plot is option (b) Missing data values due to nonresponses

A scatter plot is a graphical representation of the relationship between two variables, typically used in statistics to identify patterns and relationships between variables. Each point on the scatter plot represents a pair of observed (xi, yi) data values. The x-axis usually represents one variable, while the y-axis represents the other variable.

A scatter plot can reveal unusual data values (outliers) that do not fit the general pattern or trend of the data. Outliers can be seen as individual points far away from the main cluster of points on the scatter plot. The scatter plot can also show linear relationships between the two variables, where a change in one variable is associated with a proportional change in the other variable. However, nonlinear relationships between X and Y may not be apparent on a scatter plot.

One thing that a scatter plot cannot reveal is missing data values due to nonresponses. If a data value is missing due to nonresponse, it will not be plotted on the scatter plot. As a result, any missing data can cause bias in the analysis, and it is essential to address the issue of missing data before making any conclusions.

Therefore, the correct option is (b)  Missing data values due to nonresponses

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a. The down payment is $22,500.

b. The mortgage is $202,500.

c. The monthly mortgage payment is $1,027.

a. The down payment is 10% of the home price, which is $225,000 x 0.1 = $22,500.

b. The mortgage is the remaining amount that you need to pay, which is $225,000 - $22,500 = $202,500.

c. The monthly mortgage payment can be calculated using the formula for a fixed-rate mortgage:

Monthly Payment = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

where P is the principal amount (the mortgage), i is the monthly interest rate (4.5% / 12 = 0.375%), and n is the total number of monthly payments (30 years x 12 months/year = 360).

Plugging in the values, we get:

Monthly Payment = $202,500 [ 0.00375(1 + 0.00375)^360 ] / [ (1 + 0.00375)^360 – 1] = $1,027.

Therefore, your monthly mortgage payment will be $1,027.

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Answer:

4

Step-by-step explanation:

1st: do 2x3=6 so if 1 6in scoop makes one pitcher of tea then you could make about 4 pitchers of tea because there are the volume of the pitcher of tea mix is 24in so 24/6=4

In trigonometry,

if i = 10 sin α,  i at α = 30° is 5.

In trigonometry, If i = 10 sin α, and you want to find the value of i at α = 30°, you can follow these steps:
1. Substitute α with 30° in the equation: i = 10 sin(30°)
2. Calculate the sine of 30° (sin(30°) = 0.5)
3. Multiply the result by 10: i = 10 * 0.5

So, when α = 30°, i = 5.

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Answer: 5 1/3

Step-by-step explanation:

Answer:

Answer:

3) -82 4)-70 5) -15 6)-14 7)5 8)15 9)16 10)16 11)64 12)21 13)1500 in the middle 14)450

Step-by-step explanation:

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

The area of the rectangle is 69 feet squared.

Step-by-step explanation:

Answer:

302

Step-by-step explanation:

7*13*2 + 3*7*2 + 3*13*2 = 302

From the figure, the total number of students is

The number 15 is common in spanish, chemistry and math.

Hence, the number of students studying spanish, chemistry and math, n=15.

Therefore, the probability of surveying a student that is in math Spanish and chemistry is,

Therefore, the

The number in which the value of 3 is 3-1/100 is 345. The correct option is a.

The given number is 43,781.

The value of the 3 in 43,781 is 3,000.

The value of 3-1/100 is 2.99.

We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.

Given options are:

a. 345

b. 237,895

c. 5,732

We'll calculate the values of 3-1/100 in each option.

a. The value of 3-1/100 in 345 is 2.99.

So, the correct option is a.

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29 elements are there in total for sets A, B, and C

Since  we are provided the  values of pair-wise intersections which are: |A∩B|=|A∩C|=|B∩C|= 7 and  the  three sets have common is |A∩B∩C| = 2 and individual sets  were having |A|=19 ,|B|=|15 and |C|=14. The formula we are referring to for calculating the  total  elememets altogether is A∪B∪C|=|A|+|B|+|C|−|A∩B|−|A∩C|−|B∩C|+|A∩B∩C|, where |A|,|B|,|C|quantity for individual sets,|A∩B|,|A∩C|,|B∩C| are the intersection subsets in a pairwise, and|A∩B∩C| is the intersection subset for the three sets altogether.

So substituting the  know values in the  above format, we get  

=> |A∪B∪C|= 19+15+14-7-7-7+2

=>|A∪B∪C|=29

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