Mary was four times as old as Lea ten years ago. If she is now twice as old as Lea, how old is Mary?

Answer:37

Step-by-step explanation:

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:

torque =Fr sin θ

=10×0.30 sin 30

=3×1/2

=1.5 Nm

The coefficient of x⁴y⁴ is 70 when the expression is (x+y)⁸ by binomial coefficient expansion.

Given that,

We have a equation that is (x+y)⁸.

We have to find what is coefficient of x⁴y⁴ when we expand the coefficients with number.

We know that,

Take the expression

(x+y)⁸

By using binomial coefficient expansion visit:  

(x+y)⁸= ⁸C₀x⁰y⁸⁻⁰+ ⁸C₁x¹y⁸⁻¹+ ⁸C₂x²y⁸⁻²+ ⁸C₃x³y⁸⁻³+ ⁸C₄x⁴y⁸⁻⁴+ ⁸C₅x⁵y⁸⁻⁵+ ⁸C₆x⁶y⁸⁻⁶+ ⁸C₇x⁷y⁸⁻⁷ +⁸C₈x⁸y⁸⁻⁸

(x+y)⁸= ⁸C₀x⁰y⁸+ ⁸C₁x¹y⁷+ ⁸C₂x²y⁶+ ⁸C₃x³y⁵+ ⁸C₄x⁴y⁴+ ⁸C₅x⁵y³+ ⁸C₆x⁶y²+ ⁸C₇x⁷y¹ +⁸C₈x⁸y⁰

So the coefficient of x⁴y⁴ is ⁸C₄.

⁸C₄= 8!/(4!(8-4)!)

⁸C₄= 8!/4!4!

⁸C₄=70.

Therefore, The coefficient of x⁴y⁴ is 70 when the expression is (x+y)⁸ by binomial coefficient expansion.

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Answer:

-2 degrees

Step-by-step explanation:

Divide -16 by 8:

-16/8

= -2

So, the average change in temperature each hour was -2 degrees.

The average change of weather dropped 2 degrees for every hour is snowed.

Here,

After 8 hours of snow, the temperature had changed by a total of -16 degrees.

We have to find the average change in temperature in each hour.

What is Average?

Average is the middle value of the given sets of values.

Now,

After 8 hours of snow, the temperature had changed by a total of -16 degrees.

Hence, The average change in temperature in each hour = -16 ÷ 8 = -2

Therefore, The weather dropped 2 degrees for every hour is snowed.

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Answer:

-94

Step-by-step explanation:

14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =

= 6 + 3(-15) + 3 + 4 - 62

= 6 - 45 + 7 - 62

= -39 + 7 - 62

= -32 - 62

= -94

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer:

0.33

Step-by-step explanation:

Because you have 2 apples that weigh 0.33 pounds you gain 2 from your parents then give 2 to your friends so you have 2 left or....0.33 pound left.

Hope this helps☺️

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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Using a system of equations, the number of children and adults who attended the movies is as follows:

A system of equations is two or more equations solved concurrently.

A system of equations is also known as simultaneous equations.

The total number of people who went to the movies = 100

The unit cost of adult tickets = $4

The unit cost of children tickets = $2

The total sales = $276

Let the number of children who attended the movies = x

Let the number of adults who attended the movies = y

x + y = 100 ... Equation 1

2x + 4y = 276 ... Equation 2

Multiply Equation 1 by 2:

2x + 2y = 200 ... Equation 3

Subtraction Equation 3 from Equation 2:

2x + 4y = 276

-

2x + 2y = 200

2y = 76

y = 38

Substitute y = 19 in equation 1:

x + y = 100

x + 38 = 100

x = 62

Check in Equation 2:

2x + 4y = 276

2(62) + 4(38) = 276

124 + 152 = 276

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Step-by-step explanation:

We have to find what one share is

we have 3 shares + 2 shares + 5 shares

so he have a total of 10 shares

next, we divide 50 by total shares to get what one share is

50 ÷ 10 = 5

5 is one share

fins what each is

for 3

3 shares so 3 fives

3 × 5 = 15

for 2

2 shares so 2 fives

2 × 5 = 10

and for 5

can you work it out and leave in the comments i will say if it is correct

Step-by-step explanation:

\( = 33\% \times 1400 \\ = \frac{33}{100} \times 1400 \\ = 462 \: dollars \\ remaining \: tax = 1400 - 462 \\ = 938 \: dollars\)

Answer:

The answer is B.

Step-by-step explanation:

It is saying that 647.5 calories is the total amount and 320 is a part of it. so when you do 647.5-320, it becomes 327.5 and that is c. You can only do this with the equation that letter B is saying.

Step-by-step explanation:

sas

side angle side

mark me as brainliest

\(~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16\)

Scale of the model is found to be 1 : 30 using the ratio method.

A model of a car is 4 inches long.

The actual car is 10 feet long.

 4 in. = 10 ft. ( since given )

Divide both sides by 4, we get

∴ 1 in. = 2.5 ft.

We use the ratio here to compare the lengths of the actual car and its model.

A ratio scale is a quantitative measurement scale that is used to compare numbers.

The model is 4 inches long while the actual car is 10 feet long.

One foot is equal to 12 inches. Therefore the car in terms of inches is:

10 feet × 12 inches = 120 inches

The ratio scale is the length of the model of the car : length of the actual car

= 4 : 120

= 1 : 30

Therefore the scale of the model is 1: 30.

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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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Answer:

If all you care about is whether you roll 2 or not, you get a Binomial distribution with an individual success probability 1/6. The probability of rolling 2 at least two times, is the same as the probability of not rolling 2 at zero or one time.

the answer is, 1 - bin(k=0, n=4, r=1/6) - bin(k=1, n=4, r=1/6). This evaluates to about 13%, just like your result (you just computed all three outcomes satisfying the proposition rather than the two that didn’t).

Step-by-step explanation:

The  probabilities of getting :

O Threes is 0.48

1 Three is  0.095

2 Threes is 0.019

3 Threes is 5/1296

4 Threes is 1/1296

the total out come = 6* 6* 6* 6 =1296

Find the probabilities of getting

O Threes =(5/6)^4 = 0.48

1 Three = 1/6*(5/6)^3 = 0.095

2 Threes = 1/6* 1/6* 5/6 *5/6 =0.019

3 Threes = 1/6* 1/6* 1/6 *5/6 = 5/1296

4 Threes =(1/6 )^4 =1/1296

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Answer:

Step-by-step explanation:

When you divide two negative numbers, the negative sign cancels. So you just get an answer of 6.

Answer:

6

Step-by-step explanation:

-54 / -9

ok so first of all we can just change them to positive

54 / 9

this is what goes on in my head

the 2 digits equal 9

a number times 9 is just that number less then that number times 10

54 / 9 = 6

-54 / -9 = 6

Answer:

The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..

Step-by-step explanation:

HOPE IT HELPS!!

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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The value of x for each radical equation is 243 , 125,8,256 respectively.

The correct question is attached as an image with the answer.

When in an equation the variable is under a radical it is called a Radical Equation.

It is given in the question that

which radical matches to the solution

\(\rm \sqrt[5]{x^4} = 81 \\\\\sqrt[3]{x^4} = 625\\\\\sqrt[3]{x^5} = 32\\\\ \sqrt[4]{x^3}=64\)

\(\rm x^4 = 81^5\\x = 243\)

\(\rm x^4 = 625^3\\x = 125\\\)

\(x^5 = 32^3\\x = 8\\\)

\(\rm x ^3 = 64^4\\x = 256\)

Therefore for each radical the value of x is determined.

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Answer:

I'm not 100% sure but if I had to pick one I would go with B.

Step-by-step explanation:

Let me know if I'm correct if you decide to pick mine

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer: 40% of 50 is 14

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

Gym city fees are:

Sign up = 30

6 monthly sub = 6 x 25 = 150

Total fees = 30 + 150

FitnessExpress fees are:

Sign up = 20

6 monthly sub = 6 x 30 = 180

Total fees = 20 + 180 = 200

Therefore, the difference between the two is $20