W/5+20=22. How do I do this

The figure's perimeter and area would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

A Cartesian coordinate system in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

point of the coordinates are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the distance is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The perimeter of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the area of the tringle we use Pythagoras formula:

H² = P² + B²

P² = H²  - B²

P² = (7.81)²  - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

                                                                    = 1/2(5.38  * 9.48)

                                                                    = 25.501 cm²

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The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:

N(t) = N₀ * e^(-λt)

where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.

To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:

N(8) = 260 * e^(-0.038 * 8)

Simplifying this equation gives:

N(8) = 260 * e^(-0.304)

N(8) ≈ 138.3 grams

Therefore, approximately 138.3 grams of the compound will remain after 8 hours.

It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.

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Answer:

the answer is d) y = cos(x - Pi) - 2

Step-by-step explanation:

you can see that on the graph that os must be -2.. so you can move it for 2 up

than you have to take in count that (x - Pi) so you move your graph for Pi to the left

and than you have to recognize the function.. if it goes through 0 is sin if not is cos

The equation for the graph y = cos(x - Pi) - 2.

You can see that on the graph that os must be -2.

So you can move it for 2 up.

A graph is a mathematical diagram that shows the relationship between two or more sets of numbers or measurements.

Then you have to take into count that (x - Pi).

So you move your graph for Pi to the left

Then you have to recognize the function.

If it goes through 0 is a sin if not is cos.

The equation for the graph y = cos(x - Pi) - 2.

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Answer:

f(4) = 1612

Step-by-step explanation:

using the recursive formula and f(1) = 3 , then

f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12

f(3) = f(2)² + 3 = 144 + 3 = 147

f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

x = 15

Step-by-step explanation:

15 * 15 = 225

Answer:

X = 15

Step-by-step explanation:

This is because if you square 15, you get 225.

Answer:

answer: 5

Step-by-step explanation:

this is simple soo yea

you divided 150 and 30 and it will give you 5

The p-value  for this hypothesis test was 0.001

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory's veracity. It is sometimes referred to as the "null," and its symbol is H0.

The alternative hypothesis states your research prediction of an effect or relationship.

Using the information below:

H0:p=0.40 (null hypothesis) (null hypothesis)

Ha:p>0.40 (alternative hypothesis)

It was established that the p-value was 0.001.

a 5% significance threshold

We shall rule out the null hypothesis because the p-value (0.001) is smaller than the significance level (0.05), which means that the proportion of students majoring in nursing is higher than 0.4.

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Answer:

((2^(-2))÷(3^3))^4=

Step-by-step explanation: expand

This is the same as sqrt(27)

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

Explanation:

We use one of Vieta's formulas. Specifically, we'll focus on the quadratic case and we're multiplying the roots.

Consider the roots r1 and r2 for the general quadratic ax^2+bx+c = 0

According to one of Vieta's formulas, we would say that

r1*r2 = c/a

In this case,

So we know that

r1*r2 = c/a

r1*r2 = (-k^2)/3

Set this equal to the desired product of -9 and solve for k

r1*r2 = -9

(-k^2)/3 = -9

-k^2 = 3(-9)

-k^2 = -27

k^2 = 27

k = sqrt(27)

k = sqrt(9*3)

k = sqrt(9)*sqrt(3)

k = 3*sqrt(3)

Answer: Neither

Step-by-step explanation:

y = -5/4 x + 3/4

y = 5/4 x + 3/4

Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

43.6 has 3 significant figures.

Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

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?

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

Answer: (-.71, .71)

Step-by-step explanation:

To find the approximate coordinates of point D, we need to consider the angle ABD that measures \(3pi/4\)radians.

Since point B is the center of the circle with radius 1 and point A lies on the x-axis at (1, 0), we can calculate the coordinates of point D using trigonometry. First, let's find the coordinates of point B, which is the origin (0, 0). Since the angle ABD measures\(3pi/4\)  radians, we know that angle ABO is pi/4 radians (complementary angle to ABD).

Using trigonometry, we can find the x-coordinate of point D based on the angle ABO: x-coordinate of D = cos(pi/4) = cos(45 degrees) = 1/sqrt(2) ≈ 0.71 Similarly, using trigonometry, we can find the y-coordinate of point D based on the angle ABO: y-coordinate of D\(= sin(pi/4) = sin(45 degrees) = 1/sqrt(2) ≈ 0.71\) Therefore, the approximate coordinates of point D are (0.71, 0.71).

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The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

60/2.5 = 24 cm

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

The answer is 24 inches.

Step-by-step explanation:

Given:

1 inch = 2.5 cm

or, 1 cm = 1/2.5 inch............... eqn (i)

Now,

Wideness of envelope = 60 cm

= 60 (1/2.5) inches [From eqn (i)]

= 60/2.5 inches

= 24 inches Ans

Answer:

10

Step-by-step explanation:

Hello!

To solve this, we can plug in -3 for x in the equation -2x + 4.

Evaluate:

The value of f(-3) is 10.