aproxima a las unidades de mil y obtén los resultados estimados

Answer:

11

Step-by-step explanation:

11 has 85° because it is opposite to 9

The angle that must also be measured of 85° is angle 11.

Option C is the correct answer.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

In the diagram,

∠9 = 85

This means,

∠9 and ∠11 are opposite angles.

And,

Opposite angles are equal.

So,

∠9 = ∠ 11 = 85

Thus,

The measure of angle 11 is also 90.

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The complete question.

In the diagram, the measure of angle 9 is 85°

Which angle must also measure 85°?

Answer:

-1/2, -7/10, 3/4, 4/5

Step-by-step explanation:

-1/2 (-5/10) is smaller than -7/10

3/4 (15/20) is smaller than 4/5 (16/20)

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Answer:

x = 46.4°

cos^-1 (20/29) ≈ 46.4

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

\(Class\ width =\frac{83-7}{6}\)

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

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Answer:

3.934 = 3.634; hope this helps........

Step-by-step explanation:

Solve:

Multiply the numbers

5.62 ⋅ 0.7 = 2.68 ⋅ 1.35

3.934 = 2.68 ⋅ 1.35

Multiply the numbers

3.934 = 2.68 ⋅ 1.35

3.934 = 3.618

Result

3.934 = 3.618

The input is a contradiction: it has no solutions

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

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?

1. The differential equation which models this situation is the method of integrating factors and the differential equation is:

y′(t) = 5250/140 - 0.00625y(t)

2. The equation for the amount of money owed after t months is:

y(t) = 571.4286 - 21428.6e^(-0.00625t)

3. The borrower could borrow up to $151,536.86 if the loan is to be paid off in exactly 20 years with the same payment plan as above.

1. y(0)=55000

The monthly payment is given by the formula:

payment(t) = 700(1+t/140) dollars per month.

To find the differential equation that models this situation, we need to use the fact that the rate of change of the amount owed is given by the difference between the amount owed and the amount paid, plus the interest accumulated over the period. Thus, we have:

y′(t) = (700(1+t/140) - y(t)) * 0.075/12

where 0.075/12 is the monthly interest rate.

Therefore, the differential equation is:

y′(t) = 5250/140 - 0.00625y(t)

where y′ denotes the derivative of y with respect to t.

2. To solve this differential equation, we can use the method of integrating factors. We multiply both sides by the integrating factor e^(0.00625t):

e^(0.00625t)y′(t) + 0.00625e^(0.00625t)y(t) = 36.0714e^(0.00625t)

The left-hand side is the product rule of (e^(0.00625t) y(t)), so we can integrate both sides to get:

e^(0.00625t)y(t) = 571.4286e^(0.00625t) + C

where C is the constant of integration.

Solving for y(t), we get:

y(t) = 571.4286 + Ce^(-0.00625t)

Using the initial condition y(0) = 55000, we have:

55000 = 571.4286 + C

C = 55000 - 571.4286 = -21428.6

Therefore, the equation for the amount of money owed after t months is:

y(t) = 571.4286 - 21428.6e^(-0.00625t)

3. To find how many months it will take to pay off the loan, we need to solve the equation y(t) = 0. We can do this by graphing the function y(t) and finding the root using a graphing calculator or a plotter. Using the xFunctions plotter, we get an approximate root of t = 270 months, or about 22.5 years.

To find the amount that could be borrowed if the loan is to be paid off in exactly 20 years, we need to find the monthly payment that will pay off the loan in 240 months. We can use the formula for the monthly payment to solve for the borrowed amount:

55000 = P(1 - 1/1.0052083^240)/(1 - 1/1.0052083^240/1.0075/12)

where P is the borrowed amount, and 1.0052083 = 1 + 0.075/12 is the monthly interest rate. Solving for P, we get:

P = 151536.86

Therefore, the borrower could borrow up to $151,536.86 if the loan is to be paid off in exactly 20 years with the same payment plan as above.

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Answer:

D

Step-by-step explanation:

just respond if you need an explaination

Answer:

24 gallons

Step-by-step explanation:

50% more than 16 is all of the 16 and another 50%.

50% of 16 is 8

You can logic this because 50% is half.

Or do a calculation:

.5 × 16 = 8

So now we nee to know what is all the 16 and plus 8 on top of that. It is 24.

16 + 8 = 24.

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer:

16 meters 32 sections Did it

Answer:

total length of fencing: 110 feet

Find the perimeter of one garden:

\(\sf 2 ( length + width )\)

\(\sf 2 ( 9\frac{1}{4} + 4\frac{1}{2} )\)

\(\sf 2 ( \frac{37}{4} + \frac{9}{2} )\)

\(\sf 2 ( \frac{37}{4} + \frac{18}{4} )\)

\(\sf 2 ( \frac{37+18}{4} )\)

\(\sf 2 ( \frac{55}{4} )\)

\(\sf ( \frac{55}{2} )\)

\(\sf 27.5 \ feet\)

Then 4 rectangular gardens:

\(\sf 4 (27.5) \ feet\)

\(\sf 110 \ feet\)

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

The domain of the function given on the graph is basically all numbers which are real and greater than or equal to -3.

Given a graph of a function.

We are required to choose the correct domain of the function from the options.

Function is basically a relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as part of domain of that function and the values that we get from the function are known as part of range of that function.

Because the lowest point on x axis on which the curve starts is -3 and it continuously increases, so the domain of the function given on the graph is basically all real numbers which are greater than or equal to -3.

Hence the domain of the function given on the graph is all real numbers which are greater than or equal to -3.

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Question is incomplete as it should include the attached figure.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The equivalent sine and cosine values are as follows:

The relationship between sine and cosine angles is:

sinθ = cos(90 - θ)

This equation is known as the complementary angle identity for sine and cosine. It states that the sine of an angle is equal to the cosine of its complementary angle (90 degrees minus the original angle).

For example, if we have an angle theta = 30 degrees, its complementary angle would be 90 - 30 = 60 degrees.

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Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

The answer for 7.36 + 2.23 + 4.86 is 14.35

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Inequalities refer to the mathematical expressions in which both sides are not equal.

In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.

these are the basic inequality operations.

1. x ≠ q means that x is not equal to q

2. x < q means that x is less than q

3. x > q means that x is greater than q

4. x ≤ q means that x is less than or equal to q

5. x ≥ q means that x is greater than or equal to q

Here are some different types of inequality.

1. Polynomial inequalities

2. Absolute value inequalities

3. Rational inequalities

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Step-by-step explanation:

-26=3v+1

-1 on both sides

-27=3v

divide by 3 both sides

-9=v

Answer:

The price of the robotics kit should be $34 dollars

Step-by-step explanation:

First we have to find out what 25% and 15% of 40 is.

25% of 40 = 10

15% of 40 = 6

Next we have to add 10 plus 6 then subtract 40 by it.

10 + 6 = 16

40 - 16 = 34

So, the robotics kit should cost 34 dollars after both discounts.

The slope of the new road is zero.

The slope of a line is the change in y with respect to the change in x.

In other words, the slope of a line is rise over run.

Therefore, the new road the city planner wants to build is perpendicular to the the D street.

(5, 1)(5, 4)

slope of D street = 4 - 1 / 5 - 5

slope of D street = 3 / 0

slope of D street = infinity

An infinite slope is simply a vertical line. Therefore, it is only perpendicular to a horizontal line which will have a slope of 0. Hence, the new road should have a slope of 0.

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Answer:

(-3, 0) and (1, 0)

(0, 4)

Step-by-step explanation:

x-intercept is the point where y = 0.

y-intercept is the point where x = 0.

or points ...

f(x) = y = -4×|x + 1| + 8

let's start with the y-intercept (x = 0)

y = -4×1 + 8 = -4 + 8 = 4

the y-intercept point (only 1 point) is (0, 4).

for x = 0 the absolute value function contains 0+1. and that is always +1.

the x-intercept(s) :

0 = -4×|x + 1| + 8 (dividing by -4)

0 = |x + 1| - 2

|x + 1| = 2

because of the absolute value we have 2 possibilities :

+(x + 1) = 2

x + 1 = 2

x = 1

and

-(x + 1) = 2

-x - 1 = 2

-x = 3

x = -3

so the points of x-intercept are (-3, 0) and (1, 0)

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

36

Step-by-step explanation:

x = 9 and y = 3

3 times 3 equal 9 so if y is 12 then 12 x 3 = 36