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Question
(10 Points)
At the Kennel Club Dog show, a professional show judge measures tail lengths and hind leg lengths of
Great Danes. The ideal ratio for the breed is inch of tail length for every inch of hind leg length
If a Great Dane tail length is 24 inchen, what is the ideal find leg length?
A
End
27

The speed of the train in kilometer per hour is 68.9km/hr.

The rate of change of position of an object in any direction.

\(speed = \frac{distance}{time}\)

According to the given question

Distance travelled by commuter train = 21km

Time taken by a train to travel 31 km = 27 minutes = \(\frac{27}{60} =0.45hour\)

Therefore, the speed of the train in kilometer per hour is given by

\(speed = \frac{31}{0.45}\)

⇒\(speed = 68.9km/hr\)

Hence, the speed of the train in kilometer per hour is 68.9km/hr.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

your answer should be 4/9

Step-by-step explanation:

Hope this helps!

The ratio as a fraction in lowest terms is 4/9

The ratio is given as:

Ratio = 40 minutes to 90 minutes

Remove the units

Ratio = 40 to 90

Express as fraction

Fraction = 40/90

Simplify

Fraction = 4/9

Hence, the ratio as a fraction in lowest terms is 4/9

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Answer:

look online and it will give u the answer

Given:

Note: the absolute value of the negative number is the positive of that number

So, we will simplify it as follows:

So, the answer will be -62

Answer:

1/7 of a box of food.

Step-by-step explanation:

Rosie's leaving for SEVEN days, Spot can eat ONE box a week, if he eats the same amount every day, the answer would be 1/7.

Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.

The function that corresponds to the parabola Graph is f(x) = -3(x + 1)² + 2, which is option B.

The graph represents a downward open parabola that rises from (-2.4,-4) to (-1,2) and then declines through (0.4,-4) on the x-y coordinate plane.

To determine the function that corresponds to this graph, we need to consider the key features of a parabolic function, including its vertex and axis of symmetry.

The vertex of a parabola in the form f(x) = a(x-h)² + k is (h,k), and the axis of symmetry is x = h

From the graph, we can see that the vertex of the parabola is at (-1,2), which means that h = -1 and k = 2.

We also know that the parabola opens downward, which means that a < 0.

Therefore, we can eliminate options A and D since they both have a positive value of "a."

Next, we can test options B and C.

Option B has the form f(x) = -3(x + 1)² + 2, which means that the vertex is at (-1,2) and the parabola opens downward due to the negative coefficient of (x+1)².

To confirm if option B is correct, we can check if the point (0.4,-4) lies on the parabola:

f(0.4) = -3(0.4+1)² + 2 = -3(1.4)² + 2 = -5.88

Since the y-coordinate of the point (0.4,-4) is -4, which is equal to -5.88, we can see that the point lies on the parabola.

Therefore, the function that corresponds to the graph is f(x) = -3(x + 1)² + 2, which is option B.

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A 90% confidence interval estimate of the population standard deviation is 1596.45-4466.73

We can use the chi-square distribution to construct a confidence interval for the population standard deviation, where the lower and upper limits are given by:

\(\sqrt{(n-1)*s^2/chi2(alpha/2,n-1)) }\)         and \(\sqrt{(n-1)*s^2/chi2(1-alpha/2,n-1)}\)

Standard Deviation is a measure that shows how much variation (such as spread, dispersion, spread,) from the mean exists.

Where n is the sample size, s is the sample standard deviation, alpha is the significance level, and chi2 is the chi-square distribution function.

Substituting the given values, we get:

Lower limit

= \(\sqrt{(31-1)*50^2/chi2(0.05/2,31-1)}\)

= 1596.45

Upper limit

= \(\sqrt{(31-1)*50^2/chi2(1-0.05/2,31-1)}\)

= 4466.73

Therefore, a 90% confidence interval estimate of the population standard deviation is 1596.45-4466.73.

Hence, the correct answer is B) 1596.45-4466.73

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We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Step-by-step explanation:

ln((sin(x))^3)'

Chen Lu

= (((sin(x))^3)' / (sin(x))^3

Chen Lu

=(3sin²(x)cos(x)/ (sin(x))^3

= 3cos(x)/sin(x)

=3cot(x)

Using proportions, it is found that one sandwich costs $4.25.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering x as the cost of a sandwich, the total cost is given as follows:

1.08(3x + 1.75) + 5 = 20.66.

The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:

1.08(3x + 1.75) = 15.66

3x + 1.75 = 14.5

3x = 12.75

x = 12.75/3

x = 4.25.

Hence one sandwich costs $4.25.

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Answer:

21

Step-by-step explanation:

Let's say number is x.

x + 1/3 x = 28.

1 1/3x = 28.

1/3 x = 7

x = 21

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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The price per ticket, excluding the convenience charge, is  $65.

the rush delivery is given as $15.

The total cost of the tickets is said to be put at $352.50

Then the value that we would have for the the 5 tickets wpould be 352.50 - 15 = $337.50.

There is the convenience charge of $2.50 per ticket. This charge is excluded from the convenience charge that is to be paid.

Hence you would have to make the payment of

337.50 - 5*2.50

= 325.

Next we are to solve for the price of the ticket whioch is independent of the convenience charge

= 325 / 5

= $65

Hence the price per ticket is given as 65 dollars

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The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

I'm pretty sure it's 10/4 but I'm not totally sure

Answer:

on Khan the answer is B,C,E

Answer:

  18.1 feet

Step by step explanation:

You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.

To answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.

  cos(34°) = (15 feet)/(distance to be kicked)

  (distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet

This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.

Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.

We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).

The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.

We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.

Using trigοnοmetry, we can find the length οf AB:

tan(A) = οppοsite/adjacent

tan(34) = AB/15

AB = 15 * tan(34)

AB ≈ 9.43 feet

Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

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A sample :  a statistics student interviews each member from each of the five randomly chosen math classes at a university.

A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.

Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.

In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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We know that a geometric sequence is given by:

where r is the common ratio of the sequence.

For this sequence we have that the common ratio is r=2, this comes from the fact that in the first day we have 6 dots, for the second day we have twelve and for the third day we have 24. We also notice that the first term is:

Therefore the sequence is given by:

Now, to find the zeoth term we plug n=0 in the sequence above, therefore the zeroth term is:

Answer:

c) tan

Step-by-step explanation:

For the 63-deg angle, YZ is the opposite leg. The unknown side, AY, is the adjacent leg. The trigonometric ratio that relates the opposite and adjacent legs is the tangent.

Answer: c) tan

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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The required missing number is 51.02

Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4, ar5, .....

Given here the numbers 140,100,71.4, ,36.44

clearly 140/100=100/71.4=1.4

Thus the given set of numbers form a geometric progression with common ratio 1.4

Therefore the complete set of numbers are 140,100,71.4,51.02,36.44

Hence, the required numbers is 51.02

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We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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The formula that can be used to illustrate consecutive even numbers is a + 2.

It should be noted that the information is incomplete. Therefore, an overview will be given.

It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.

Examples of such numbers include 2, 4, 6,8, 10, etc.

In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.

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Answer:

You're right. . . .its acute

Part (d)

If xy > 0, then the two items x and y must have the same sign.

Examples where x,y are both positive

Examples where x,y are both negative

This places us in either the first quadrant or third quadrant (Q1 and Q3)

======================================================

Part (e)

If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.

Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.

======================================================

Part (f)

If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).

Answer:

(d)  The set of all points in quadrants I and III (x and y have the same sign).

(e)  The set of all points below the x-axis.

(f)  The set of all points on the y-axis.

Step-by-step explanation:

The Cartesian plane is divided into four quadrants.  

Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.

Part (d)

For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.

Therefore, the description that satisfies the given condition is:

Part (e)

For y < 0, y is always negative.

Quadrants III and IV are below the x-axis.

Therefore, the description that satisfies the given condition is:

Part (f)

The only place where x = 0 is the y-axis.

Therefore, the description that satisfies the given condition is: