What is the rate of the trains in mph?

Answer:

OOk

Step-by-step explanation:

Answer:

\(y=6(x-8)-2\qquad\text{point-slope form}\)

\(y=6x-50\qquad\text{slope-intercept form}\)

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

\(y=m(x-xo)+yo\)

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

\(y=mx+b\)

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

\(\boxed{y=6(x-8)-2\qquad\text{point-slope form}}\)

To find the slope-intercept form, we operate the above equation:

\(y=6x-48-2\)

\(\boxed{y=6x-50\qquad\text{slope-intercept form}}\)

Answer:

Step-by-step explanation:

Answer: D)$17.60

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

x=2.5, y=-1.5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

30divided by 5 =6

Answer:

30 divided by 5= 6

Step-by-step explanation:

30 balls in total and 5 groups with 6 in each group

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Answer:

The correct equation is 23n=65

Step-by-step explanation:

23n=65 means a number 'n' multiplied with 23 gives you the product 65.

Answer:

\(2261.9cm^{2}\)

Step-by-step explanation:

Total Surface Area of Cylinder = \(2\pi rh+2\pi r^{2}\)

Note: Do not get tricked by the 24cm (taking 24cm as the radius), that is the diameter.

To find r, radius = \(\frac{1}{2} d\)

                          =\(\frac{1}{2} (24)\\\)

                          = 12cm

Now we know r = 12cm, h = 18cm

Now we substitute r and h into the formula to find the total surface area.

Total Surface Area of Cylinder = \(2\pi (12)(18)+2\pi (12)^{2} \\=432\pi +288\pi \\=720\pi cm^{2} \\=2261.9cm^{2}\)

Answer:

multiply them fro your answer

Completing the table to show the number of rods in staircase frames with different numbers of steps based on their observed patterns is as follows:

Number of Steps       1        2       3        4      5       6       7       8  

Number of Rods       4       10      18      28    40     54    70     88

In Mathematics, we can describe a pattern as a repeated arrangement of corresponding numbers based on a specific rule (unit addition).

Patterns are also described as sequences.

In this scenario, the pattern rule is established by close observation, which shows that the patterns are increasing uniformly (one unit addition) as the number of steps increases, starting from 4.

CSP Staircase Frames

Number of Steps       1        2        3       4       5       6       7       8  

Number of Rods       4       10      18       ■       ■      ■       ■       ■

Observed Pattern     4        5       6        7       8      9       10      11

Number of Rods = Number of Steps x Observed Pattern

Step 1 = 4 (4/1)

Steps 2 = 5 (10/5)

Steps 3 - 6 (18/3)

The observed pattern of increase is 1 (5 - 4).

Steps 4 = 28 (4 x 7)

Steps 5 = 40 (5 x 8)

Steps 6 = 54 (6 x 9)

Steps 7 = 70 (7 x 10)

Steps 8 = 88 (8 x 11)

The calculated steps are the multiplication of the steps by the observed patterns.

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CSP Staircase Frames

Number of Steps       1        2        3       4       5       6       7       8  

Number of Rods       4       10      18       ■       ■      ■       ■       ■

9514 1404 393

Answer:

  No. The bases for computing percentages are different.

Step-by-step explanation:

Suppose the original price is $100 and it is marked down 20%. Then the amount of markdown is 0.20×$100 = $20. The marked-down price is then $100 -20 = $80.

After the sale, the price increase of $20 is computed using the base price of $80:

  increase % = $20/$80 × 100% = 25%

The percentage decrease and increase are different because they are computed using different numbers as the reference.

__

Additional comment

The closer to zero the percentages are, the closer they are to being the same. A 1% markdown will equate to a 1.010101...% markup, for example.

Answer: 6.4 miles/hour

Step-by-step explanation:

Speed = distance/time

19.2/3 = 6.4

Hope this helps!

Answer:is the secend one

Step-by-step explanation:this is easy you just have to find the points

Answer:

(2,5) (6,9) (7,2)

Step-by-step explanation:

the first number is the x and the second number is the y

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Completing the square gives

\(\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)\)

\(\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2\)

At the point on the graph along the axis of symmetry, the squared term vanishes, so that when \(x=6\), we have \(x+2b=0\). So

\(6+2b=0\implies 2b=-6\implies\boxed{b=-3}\)

Answer: 1,566 m

Step-by-step explanation:

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

x = 10

Step-by-step explanation:

I don't know you, but this looks proportional, so if CD = 20 and AB = 14, then EF gotta be 17. So:

2x-3 = 17

2x = 20

x = 20/2

x = 10

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

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The sampling method used in this problem is classified as:

Simple Random Sampling

Samples may be classified as:

In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

\(X \sim N(200000,100000)\)  

Where \(\mu=200000\) and \(\sigma=10000\)

From the empirical rule we know that within one deviation from the mean we have 68% of the values so then 1 deviation above the mean we will have (100-68)/2 = 16% and then the number of houses that are greater than one deviation above the mean are:

\( Number = 1216*0.16 = 194.56\)

And the answer woud be between 194 and 195 houses

Step-by-step explanation:

Let X the random variable that represent the value of homes in Hampton VA of a population, and for this case we know the distribution for X is given by:

\(X \sim N(200000,100000)\)  

Where \(\mu=200000\) and \(\sigma=10000\)

From the empirical rule we know that within one deviation from the mean we have 68% of the values so then 1 deviation above the mean we will have (100-68)/2 = 16% and then the number of houses that are greater than one deviation above the mean are:

\( Number = 1216*0.16 = 194.56\)

And the answer woud be between 194 and 195 houses

Answer:

\(\chi^2 = 0.579\)

And the critical value for the significance level used is:

\( \chi^2_{crit}= 5.991\)

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

\(\chi^2 = 0.579\)

And the critical value for the significance level used is:

\( \chi^2_{crit}= 5.991\)

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Critical value (5.991) is greater than the test statistic (0.579).

We would accept the null hypothesis (H0) which says, "College graduation status and cola preference are independent". This means that the claim TRUE.

Recall the following about decision making when rejecting or accepting an hypothesis:

Thus, the information given shows that:

Critical value (5.991) is greater than the test statistic (0.579).

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Answer:

a. 0.48

b. The 96% confidence interval for p is (0.457, 0.503).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.

This means that \(n = 2000, \pi = \frac{960}{2000} = 0.48\).

This is the answer for question a.

96% confidence level

So \(\alpha = 0.04\), z is the value of Z that has a pvalue of \(1 - \frac{0.04}{2} = 0.98\), so \(Z = 2.056\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503\)

The 96% confidence interval for p is (0.457, 0.503).

Answer:

The answer is D

Step-by-step explanation:

The triangles are similar because all pairs of corresponding angles are congruent.

Answer:

The answer is d

Step-by-step explanation:

The (-12,-5) indicates the following.

To determine the value of r, we solve as follows.

To find the value of secθ, we substitute as follows.