Your answer
In the past year, Anna's mom has spend $7440 on her rent. What is the unit cost
(dollar per month)?

Answer:

-17.25

Step-by-step explanation:

Work Shown:

\(a^2 + b^2 = c^2\\\\40^2 + 75^2 = c^2\\\\1600 + 5625 = c^2\\\\7225 = c^2\\\\c^2 = 7225\\\\c = \sqrt{7225}\\\\c = 85\\\\\)

I used the pythagorean theorem with a = 40 and b = 75. The order of the 'a' and b doesn't matter, as long as c is the largest side.

The 40-75-85 pythagorean triple is the scaled up version of the 8-15-17 triple (multiply each piece by 5).

Answer:

85 yd

Step-by-step explanation:

We know that

\(\pmb{\bf H^2=P^2+B^2}\)

Here,

H = c, P = 75 yd, B = 40 yd

\( \begin{gathered} \: \sf \implies \: {c }^{2} = (75) {}^{2} + {(40)}^{2} \\ \sf \implies {c}^{2} = 5625 + 1600 \\ \sf \implies \: {c}^{2} = 7225 \\ \sf \implies \: c = \sqrt{7225} \\ \sf \implies \: c = 85 \: yd \end{gathered}\)

Answer:

$ 14.65 million

Step-by-step explanation:

The question requires you to add the profits obtained from the two years to get the net profit for the two years.

Profit in the first year of business = $ 6.25 million

Profit in the second year of business = $8.4 million

Net profits the last two years : $6.25 + $ 8.4 = $14.65 million

Answer:

all real numbers

Step-by-step explanation:

the domain for normal linear and quadratic equations is always all real numbers

Answer:Dilation is the increase or decrease in the size of a figure by a factor k. If a figure is dilated to produce an image, they are similar, hence the ratio of the corresponding sides are proportional. The length of the side between the vertices A′ and B′ is 16/7 units. Find out more on transformation at: brainly.com/question/1548871 Advertisement

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

\(A'B'=6, AB=4\)

The scale factor is the ratio of the lengths of a pair of corresponding sides. (image to preimage).

Thus, the scale factor is \(6/4=3/2\).

Answer:

\(q=Ng\\q/N=g\\g=q/N\)

Step-by-step explanation:

From "Wild: From Lost to Found on the Pacific Crest Trail," it can be inferred that Strayed prepared extensively for her hike on the Pacific Crest Trail. She researched the trail and gathered information from books, maps, and other hikers who had completed the trail. She also purchased and outfitted herself with necessary gear, such as a backpack, hiking boots, and camping equipment. She planned to sustain herself by carrying food and supplies and re-supplying at towns along the trail. Strayed also took steps to physically prepare herself, such as training by hiking in the local mountains. She also mentions the time and thought she put into the planning and preparation, stating "I'd spent months getting ready" (chapter 2).

Answer:

4.625

Step-by-step explanation:

5/8 = 0.625

To find 5/8, simply divide it.

So 4 and 5/8

= 4.625

Answer:

she went 90 miles in 3 hours

Step-by-step explanation:

in 20 minutes, she went 10 miles.

so in 1 hour, we multiply both 10 and 20 by 3

in 1 hour, Amelia drives 30 miles

we multiply this by 3,

and we get 90 miles in 3 hours :)

Answer:

m= 1/2                y = 1/2x + b

Step-by-step explanation:

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer: I got answers to 2 and 3, sorry. I am not 100% sure if they are right, but sorry if not.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

It's the $10 that is to be added to the cost for each produced item.

You can add are subtract

Answer:

I can't see question properly

Answer:

A

Step-by-step explanation:

Difference of squares: (a^2 - b^2) = (a - b)(a + b)

(144x^2 - 49) = (12x - 7) (12x + 7)

Answer:

A. (12x - 7) (12x + 7)

Step-by-step explanation:

144x^2 - 49

Rewriting

(12x)^2 - 7^2

Recognizing this is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( 12x-7) (12x+7)

Answer:

Explanation:

Step 1. Let h be the height of the cone:

and let d be the diameter of the circle:

From the diameter we can find the radius of the circle:

Step 2. To find the volume of a cone we use the following formula:

Step 3. Substituting the values of r and h into the formula:

Solving the operations:

The result is:

The volume is pi cubic miles.

Answer:

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture above.

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} \implies \cfrac{-3 +4}{1 +5} \implies {\Large \begin{array}{llll} \cfrac{ 1 }{ 6 } \end{array}}\)

Answer:

4th one

Step-by-step explanation:

if you add them

The statistic that the value 24.7 represents in this context is the median of the gas mileages for the cars tested.

Popular magazine that tests cars and trucks for mileage on the road and around the city. They report that 50% of the cars tested had mileages below 24.7 mpg on the road, and the other 50% had mileages above 24.7 mpg. The 24.7 mpg statistic represents the median of the gas mileages for the cars tested. This is because the median is the middle value when the data is arranged in ascending order, and in this case, it separates the lower 50% from the upper 50% of the mileages.

The median is the value that separates the data set into two halves. In this case, the magazine reports that 50% of the cars tested had mileages below 24.7 mpg on the road and the other 50% of the cars tested had mileages above 24.7 mpg. This means that 24.7 mpg is the exact middle value of the distribution of the gas mileages for the cars tested.

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Answer:

f⁻¹(x) = 2ˣ / 9

Step-by-step explanation:

f(x) = log₂ (9x)

y = log₂ (9x)

swap y and x:    x = log₂ (9y)

solve y: 9y = 2ˣ        y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Since

f(x) = log₂ (9x)

So,

y = log₂ (9x)

Now

swap y and x so    x = log₂ (9y)

And, now we have to solve for y

9y = 2ˣ      

y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

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Answer:

5 hamburger packages and 6 bun packages

Step-by-step explanation:

It is asking for the highest common multiple of 12 and 10. the first time a multiple of 12 is divisible by 10 is at 12x5, which is 60. now divide 60 by 12 and 10, 5 and 6.

Answer:

  C.) x = -3, cross; x = 0, touch; x = 1, cross; x = 3, cross

Step-by-step explanation:

You want the zeros and their multiplicity of f(x) = x^5 -x^4 -9x^3 +9x^2, along with a description of whether the graph crosses or touches the x-axis at each zero.

The equation can be factored as ...

  f(x) = x^2(x^3 -x^2 -9x +9)

The cubic can be factored as ...

  x^3 -x^2 -9x +9 = x^2(x -1) -9(x -1) = (x^2 -9)(x -1)

and the quadratic factor can be factored as the difference of square. The complete factorization is then ...

  f(x) = x^2(x -1)(x -3)(x +3)

The zeros are the values of x that make the factors zero:

When the multiplicity of a zero is even, the graph touches the x-axis. Here, that means the graph will touch at x=0, where the multiplicity of the zero is 2.

When multiplicity is odd, the graph will cross the x-axis. The graph crosses at the zeros -3, -1, +3.

__

Additional comment

As soon as you recognize that the x^2 factor means the multiplicity of x=0 is even, you can identify the correct answer choice: the only one that says "touch" for x=0.

The solution is of the form y = tr where r = 5/14 for the given differential equation.

Given differential equation:

t²y''- 10ty' + 28y = 0

Let's assume the solution is of the form y = tr. We need to find the values of r for which this form of the solution holds.Let's differentiate the solution y = tr with respect to t in order to solve for the first and second derivatives of y as follows:

y = tr.....(1)

First derivative of y w.r.t t is given by:

y' = r.....(2)

Second derivative of y w.r.t t is given by:

y'' = 0.....(3)

Substituting equations (1), (2), and (3) in the given differential equation, we get:

(t² * 0) - 10t * r + 28(tr) = 0

Simplifying, we get:

(28r - 10) * t = 0

Since t > 0, then the coefficient of t must be zero. Thus,

28r - 10 = 0

=> 28r = 10

=> r = 10/28 (reduced)

=> r = 5/14

So, the value of r is 5/14 when the given differential equation has solutions of the form y = tr for t > 0.

In summary, the solution is of the form y = tr where r = 5/14 for the given differential equation.

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Answer:

c=7.07

Step-by-step explanation:

c²=a²+b²

c²=5²+5²

c²=25+25

c²=50

c=√50

c=7.07

B. c=7.07 (to nearest hundredth)

C. c=√50= 5√2 in radical form

A) The value of c obtained after solving by Pythagoras' theorem will be 7.07.

B) The value of c rounded to the nearest hundredth will be 7.07.

C) The value of c in the simplified radical form will be 5√2.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that the right triangle below in which a = 5 and b = 5.

Apply Pythagoras' theorem in the given right triangle,

c²=a²+b²

c²=5²+5²

c²=25+25

c²=50

c=√50

c=7.07

c=7.07 (to the nearest hundredth.

The given value in its radical form is obtained by taking the square root,

c=√50

c=√2×5×5

c= 5√2

Thus, the value of c obtained after solving by Pythagoras' Theorem will be 7.07, the value of c rounded to the nearest hundredth will be 7.07 and the value of c in the simplified radical form will be 5√2.

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