A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H. ​

Answer:

Each term of a geometric sequence increases or decreases by a constant factor called the common ratio. The sequence below is an example of a geometric sequence because each term increases by a constant factor of 6. Multiplying any term of the sequence by the common ratio 6 generates the subsequent term.

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

length=12; breadth=8

Step-by-step explanation:

l=w+4

w(w+4)=96

w²+4w-96=0

(w+12)(w-8)=0

width=8

length=w+4=12

Answer:

length=12; breadth=8

Step-by-step explanation:

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Answer:

The volume doubles to 120

Step-by-step explanation:

Volume of Rectangular Prism Formula: V = lwh

Step 1: Find volume of given lengths

V = 3(4)(5) = 60 in²

Step 2: Find volume when we double h

4(2) = 8

V = 3(8)(5) = 120 in²

Step 3: Divide the 2 numbers to find the ratio

120/60 = 2, or double the amount.

The result of the instructions "mov ax, 0e275h" and "xor ax, 0a79dh" is that the value of the AX register will be modified based on the operations performed.

The instruction "mov ax, 0e275h" moves the hexadecimal value 0e275h into the AX register. After this instruction, the AX register will hold the value 0e275h.

The instruction "xor ax, 0a79dh" performs an XOR operation between the value in the AX register and the hexadecimal value 0a79dh. XOR is a bitwise exclusive OR operation that compares each bit of the operands and sets the corresponding bit in the result if and only if one of the bits is set.

To perform the XOR operation, we convert the hexadecimal values to binary:

0e275h = 1110001001110101b

0a79dh = 1010011110011101b

Therefore, after the "xor ax, 0a79dh" instruction, the AX register will hold the value 0x45F8.

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Answer:

28.27

Step-by-step explanation:

C=2piR

c=(2)(3.1415926535)(4.5)

= approximately 28.27

28.27....................k?

Answer:

n= 8

Step-by-step explanation:

13 = 5+n

is the same as

5+n= 13

transpose

n=13-5

n= 8

hope it helps

The value of y after solving the triangle using sine rule is 46.15.

Sine rule is a rule that relates the sides of a triangle with the sine of their opposite angles.

To calculate the value of y, we use the sine rule formula

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1 and solve for y

Hence, the value of y is 46.15.

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If the height is increased by 0.2 then the surface area will be increased by 1.14times the original.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height , p is the perimeter of the base and B is the base area

The scale factor in terms of height = 32/30

if x is the surface area of old prism and y for new

then area factor = (16/15)² = 256/225

256/225 = y/x

225y = 256x

y = 256/225 x

y = 1.14x

therefore the surface area will increase by 1.14times the original.

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Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees

The angle of elevation of the building from A, we can apply the concept of trigonometry;

tan(θ) = opposite/adjacent

tan(θ) = height/180m

Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:

tan(45°) = height/180m

The tangent of 45 degrees is 1, so the equation becomes:

1 = height/180m

Solving for the height:

height = 180m

Using the tangent of the angle;

tan(θ) = height/distance

tan(θ) = 180m/240m

Simplifying:

tan(θ) = 0.75

θ = tan⁻¹(0.75)

θ = 36.87 degrees

Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.

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To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.  

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.

Alternatively,

Ax +By = C

Any sign that crosses over equal(=) signs always change

In this case, Ax crosses over to C

By = C - Ax

To eliminate y from By, then

By/y = (C - Ax) /y

y cancel out y on the left side

B  = (C - Ax) /y

The complete question is,

Solve for B in the literal equation Ax+By=C

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Answer:

It’s the third one

Step-by-step explanation:

-1.1x+6.4>-1.3

-1.1x>-1.3-6.4

-1.1x>-7.7 multiplied by -1 gives 1.1x<7.7

Divided by 1.1 you get x<7

Answer:

1.5 km per hour

Step-by-step explanation:

you have to do the km you need to travel over the time you have. then you divide to get 1.5 km per hour.

Answer:

1.5

and it said not to include units.

Step-by-step explanation:

R * 2 = 3

   /2      /2

R = 3/2

3/2= 1.5

R = 1.5

Answer:

15:32

Step-by-step explanation:

3/4 of an hour = 45 minutes.
1 3/5 hours = 8/5 of an hour = 96 minutes

So, the ratio can be written as 45:96, or simplified as 15:32

Answer:

A=3

B=15

Step-by-step explanation:

Since these are equivalent ratios, there is a constant scale factor for each number. As shown in the 8 and 24, we find the scale factor to be 24/8=3. This means that the second ratio's numbers are 3x bigger than the  corresponding ones in the first ratio. A = 9/3 = 3, and B = 5*3=15

The correct interpretation of the p-value in this scenario is C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In a chi-square goodness-of-fit test, the null hypothesis assumes that the distribution of the number of credit cards used by customers has not changed from last year to this year. The alternative hypothesis suggests that there is a change in the distribution.

The p-value is the probability of observing a test statistic as extreme as the one obtained (or more extreme) under the assumption that the null hypothesis is true. In this case, the p-value is 0.02, which means that if the null hypothesis were true (i.e., there is no change in the distribution), there is a 2 percent chance of obtaining a chi-square value of at least 7.82 or more extreme.

The p-value is not the probability that the company's claim is correct (option A). It is not the probability of obtaining a chi-square value of at least 7.82 (option B) because the p-value accounts for values both at and beyond the observed test statistic. Additionally, it is not the probability that the company's claim is correct (option D).

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The correct interpretation of the p-value is that if the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In this question, the credit card company conducted a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of the number of cards used by its customers from last year to this year. The test statistic value obtained was x2 = 7.82, and the corresponding p-value was 0.02.

The p-value in this context represents the probability of obtaining a chi-square test statistic as extreme as 7.82, assuming the null hypothesis is true. The null hypothesis states that there is no change in the distribution of the number of cards used from last year to this year.

Since the p-value is 0.02, which is less than the typical significance level of 0.05, we can conclude that the observed data is statistically significant and provides evidence against the null hypothesis. Therefore, we reject the null hypothesis and conclude that there is a change in the distribution of the number of cards used by the credit card company's customers from last year to this year.

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Answer: 20/300 = 1/15

Hope this helps...

Have a great day.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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The solution in parametric form, is x = ut₁ + vt₂, where u and v are vectors and t₁, t₂ ∈ R, such that Ax = A(ut₁) + A(vt₂) = 0. Hence u and v are the vectors that appear in the vector form of the general solution to Ax = 0.

We have, non- zero u and v. Now, consider the homogeneous linear system, Ax = 0, where A is n x 5 matrix and \( x = \begin{pmatrix} x₁ \\x₂ \\ x₃ \\ x₄ \\ x₅\\\end{pmatrix} \)

Now, Ax = 0 represents system of linear equations where we are asking that various combination of the 5 variables are all 0. The specific homogeneous linear system has always a solution x = 0. The system will have solutions other than 0 if and only if there is at least one free variable among x₁, x₂, x₃, x₄ and x₅. In general given a linear system Ax = 0, you can write the solution in parametric form, which is x = ut₁ + vt₂, where u and v are vectors and t₁, t₂∈ R, such that Ax = A(ut₁ + vt₂) = A(ut₁) + A(vt₂) = 0. Hence u and v are the vectors appearing in the solution of Ax = 0.

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Here is ur answer

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5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points

Step-by-step explanation:

hi

Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

Therefore, the correct answer is C - The graph of F is narrower than the graph of P but has the same orientation.

The function f(x) = p(-x/2) is obtained from the quadratic parent function p(x) by first reflecting the graph of p(x) over the y-axis (due to the negative sign in front of x), and then stretching it horizontally by a factor of 2 (due to the 1/2 coefficient inside the parentheses). Since stretching a function horizontally makes it narrower, the graph of f(x) is narrower than the graph of p(x). However, reflecting a function over the y-axis does not change its orientation, so the orientation of f(x) is the same as that of p(x).

Therefore, the correct answer is C - The graph of F is narrower than the graph of P but has the same orientation.

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Answer:

2.25x+2.50=9.25

3 games

Step-by-step explanation:

Answer:

The first one is 2.50+2.25x=9.25

The second one is 3 games

Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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Answer: 12 for both

Step-by-step explanation: 13 - 1 12 thats the current well if the current is 12 then sit still and your going 12 mph

B. the special rule of multiplication.

The joint probability of two independent events is computed using the special rule of multiplication.

When two events are independent, their joint probability is calculated using the special rule of multiplication.

This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.

For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.

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Function has an input and an output. Generally, a function relates each value of a set with exactly one value of another set. According to our definition the function in the relation below will be

All the other options has a x value that is related to more than one values in y.

The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.

Mathematically, we can express this as:

dP/dt = rP

where P is the population size, t is time, and r is the growth rate.

Assuming a constant growth rate, we can integrate this equation to get:

ln(P) = rt + C

where C is an integration constant. We can solve for C using the initial population estimate:

ln(1200) = r(1980) + C

C = ln(1200) - r(1980)

Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:

ln(7500) = r(2008) + ln(1200) - r(1980)

Solving for r, we get:

r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496

Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:

ln(P) = rt + ln(7500)

ln(P) = 0.0496(12) + ln(7500) = 9.058

P = e^9.058 = 8656

Therefore, the estimated alligator population in the region in the year 2020 is 8656.

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