The stem-and-leaf plot shown displays the weights, in pounds, of the dogs in an animal shelter.

What is the median weight for the dogs in the animal shelter?

A.33 pounds

B.44 pounds

C.48 pounds

D.49 pounds

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

\(Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\\)

Compare x and y coordinates

\(\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3\)

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

Given:

We have from Newton's second law of motion:

Substitute the values,

Hence the acceleration of the box is 2 m/s^2, that is

Given :-

To find :-

Solution :-

Common difference ,

As we know that ,

Answer:

30th

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 13 and d = 11 , then

\(a_{n}\) = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306

11n - 24 = 306 ( add 24 to both sides )

11n = 330 ( divide both sides by 11 )

n = 30

The 30th term is 306

Answer:

The right answer is the first option, 14,32.

Step-by-step explanation:

FH is a hypotenuse.

\(FG^2+GH^2=FH^2\\ FG^2 = FH^2-GH^2\\ FG^2 = 23^2-18^2\\ FG^2= 529-324\\ FG^2=205\\ FG=\sqrt{205}\)

\(\sqrt{205} = 14,317...=14,32\)

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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The estimated depth of the crater is given as 714.1 m

we have the value of θ = tan 55 degrees

the depth of the crater is given as d. This value is unknown

L is the length of this shadow that has been cast. This is given as 500 meters

θ = Opposite / adjacent

d / 500 = tan 55 degrees

from this stage we would have to cross multiply

d = 500 * tan 55

d = 500 * 1.428148

d = 714.07 meters.

Hence the depth of the crater to the nearest tenth is given as 714.1 meters.

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Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

7x26

Step-by-step explanation:

Based on the provided data, the population standard deviation is 6.0 and the population variance is 36.0.

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, follow these steps:

1. Press the "STAT" button, and then select "Edit" to enter the data.

2. Enter the ages of the students into a list. For example, you could enter the ages into list L1.

3. Once you have entered the data, press the "STAT" button again, and then select "CALC."

4. Choose "1-Var Stats" and enter the list name that contains the data (L1 in this case). Press "ENTER" to see the result.

5. The calculator will display a list of statistics, including the population standard deviation (σx) and the population variance (σx²). Round these values to one decimal place.

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\(-(3c-8)-3c =-3c+8-3c=-6x+8\)

Hope that helps!

Answer:

-6c+8

Step-by-step explanation:

-3c+8-3c

-6c+8

Answer- -6c+8

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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Answer:

g(x) = 2ˣ - 3

Step-by-step explanation:

f(0) is 1 since 2⁰ = 1

So to get to the point -2, we'd have to subtract 3.

Let's see where g(x) = 2ˣ - 3 takes us.

g(0) = 2⁰ - 3 = -2

g(2) = 2² - 3 = 1

That's already a match, so no further transformation needed.

Answer:

d. (8.5, -4.5)

Explanation:

The coordinates of the midpoint can be calculated as:

Where (a, b) are the coordinates of the first point and (c, d) are the coordinates of the second point.

Then, replacing (a,b) by X(10, -5) and (c, d) by Y(7, -4), we get:

Therefore, the coordinates of the midpoint are (8.5, -4.5)

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

13 basketballs

Step-by-step explanation:

Answer:

pre tests still count amdand matmattemattter

Step-by-step explanation:

Answer: hmmm simple it’s 15

Step-by-step explanation: your welcome

Explanation:

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

Answer:

The sum is greater than |LM|

The required coordinates of point B are (-3, 7) where point M is the midpoint of AB.

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Point A is located at (1, 5), and point M is located at (-1, 6). If point M is the midpoint of AB

We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.

Let the coordinates of B would be (x, y)

Substituting the coordinates of points A into the midpoint formula gives us :

-1 = (x+1)/2 ; 6 = (y+5)/2

-2 = x +1 ; 12 = y + 5

x =  -3; y = 7

Therefore, the required coordinates of point B are (-3, 7).

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To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

Step-by-step explanation:

Simple interest formula: i = prt

i = interest

p = principle amount

r = rate

t = time (in years)

Substitute the numbers given in the problem.

i = $3800x0.0375x6

i = $855

In order to find the total investment, add the interest ($855) to the principle amount ($8500)

$855 + $8500 = $9355

If you need more help in this problem, please comment down below.

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

9 cookies will cost $15.75.

Step-by-step explanation:

$7/4c × 9c

= $63/4

= $15.75

Hope this helped!

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

Answer:

  2√2

Step-by-step explanation:

  \(g(h(10))=g(2\cdot10-8)=g(12)\\\\g(12)=\sqrt{12-4}=\sqrt{8}=2\sqrt{2}\\\\\boxed{g(h(10))=2\sqrt{2}}\)

Answer:

\(f(x) = \frac{108}{7} (\frac{7}{6})^x\) or \(f(x) = 15.429(1.167)^x\)

Step-by-step explanation:

No need for a calculator.

Assuming that the equation is in the form \(y = ab^x\), we can plug in points to get our equation. For ease, let's use (1,18) and (2,21). When plugging these points in, we get \(18 = ab^1, 21 = ab^2\). Now let's divide the equations to get rid of \(a\): \(\frac{21 = ab^2}{18 = ab^1} = \frac{21}{18} = \frac{7}{6} = b\). Now that we have \(b\), we can plug in the value we just calculated to solve for \(a\): \(18 = a(\frac{7}{6} )^1\), and solving for \(a\), we get \(a = \frac{108}{7}\).

So the \(f(x) = (\frac{108}{7})(\frac{7}{6} )^x\)

This equation in decimal form (rounded to the nearest thousandth) is \(f(x) = 15.429(1.167)^x\).

hope this helped! :)