no termino de entender esta parte de la tarea me pueden ayudar porfabor

Given Pauls age is three times barts age in 14 years pauls age will be twice as barts age, therefore, Bart is currently 14 years old, and Paul is currently 42 years old.

Let's assume that Bart's current age is x. Then, Paul's current age is 3x. In 14 years, Bart's age will be x + 14, and Paul's age will be 3x + 14. We know that Paul's age in 14 years will be twice Bart's age in 14 years. We can set up an equation to solve for x:

3x + 14 = 2(x + 14)

Simplifying this equation, we get:

3x + 14 = 2x + 28

x = 14

Therefore, Bart's current age is x = 14, and Paul's current age is 3x = 42.

To check our answer, we can verify that in 14 years, Paul's age will be twice Bart's age:

Paul's age in 14 years = 42 + 14 = 56

Bart's age in 14 years = 14 + 14 = 28

56 = 2(28)

Thus, our solution is correct. Bart is currently 14 years old, and Paul is currently 42 years old.

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Answer:

A

Step-by-step explanation:

Simply guess and check, meaning the boys category must be divisible by 2 and the girls category must be divisible by 3

A: 24 boys ÷ 2 = 12 (equals a whole number so it is divisible; not a decimal)

36 girls ÷ 3 = 12 (both of the boys and girls are divisible by their corresponding numbers)

Yes

Now make sure the boys are a lower count than the girls as the ratio says it should be 2 to 3, meaning there are more girls than boys

B: 20 ÷ 2 = 10 (divisible)

35 ÷ 3 = 11.666 (this is a decimal answer so it is not divisible)

No

C: 36 ÷ 2 = 18

24 ÷ 3 = 8

Yes, they are divisible

Now lets check if boys have a lower count than girls

36 boys > 24 girls

This is not the solution as it doesn't reflect the correct ratio of less boys than girls

D: 35 ÷ 2 = 17.5 (not divisible)

20 ÷ 3 = 6.66 (not divisible)

Answer:

what class is this?

Step-by-step explanation:

The amplitude of the current I is approximately 16.06 A.

The amplitude of the current I in a circuit with an alternating voltage E(t) = 120 sin(12t), inductance L = 0.31 H, resistance R = 7 ohms, and capacitance C = 0.029

F can be found using the impedance formula:

Z = √((R²) + (XL - XC)²)

where

Z is the impedance,

XL is the inductive reactance, and

XC is the capacitive reactance.

First, calculate XL and XC:

XL = 2 × π × f × L

XC = 1 / (2 × π × f × C)

Here, f is the frequency, which can be determined from the given voltage equation:

ω = 12 rad/s, and f = ω / (2 × π) = 12 / (2 * π) ≈ 1.91 Hz

Now, calculate XL and XC:

XL ≈ 2 × π × 1.91 × 0.31 ≈ 3.76 ohms XC ≈ 1 / (2 × π × 1.91 × 0.029) ≈ 2.89 ohms

Next, calculate the impedance Z:

Z ≈ √((7²) + (3.76 - 2.89)²) ≈ 7.47 ohms

Finally, find the amplitude of the current I using Ohm's Law:

I = E / Z

I ≈ 120 / 7.47 ≈ 16.06 A

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Answer:

C

Step-by-step explanation:

Remember the four basic power of i:

\(\begin{aligned}i^1&=i\\i^2&=-1\\i^3&=-i\\i^4&=1\end{aligned}\)

We have:

\(i^{233}\)

The trick here is to split the exponent into a number divisible by 4 plus the remainder. Notice that:

\(233=232+1\)

And that:

\(232/4=58\)

So, we can rewrite our exponent as:

\(=i^{4\cdot 58+1\)

Using the properties of exponents:

\(=(i^4)^{58}\cdot i^1\)

Since i to the fourth is simply 1:

\(=(1)^{58}\cdot i^1\)

Simplify:

\(=1\cdot i^1\)

Simplify:

\(=i\)

Hence, our answer is C.

Answer:

he 32 is what he got in bank now an hope this help.

Step-by-step explanation:

Answer:

f(x)= -2|x-3|-1

(Hi Simran! I just wanted to help you with this question though it might be wrong)

Step-by-step explanation:

f(x) = a|x-h|+k

f(x)= a|x-3|-1

-7 = a |0-3| -1

-7 = a |-3| -1 <-- add to -7

-6 = a |-3|

-6 = 3a

-6/3 = a

-2 = a

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

The equation of the absolute value is f(x)= -2|x-3|-1

One common algorithm to merge k sorted lists into one sorted list with a time complexity of O(n LG k) is the "k-way merge" algorithm.

The algorithm's steps are:Create a min-heap and fill it with the first item from all k input lists.There will be k maximum elements in the min-heap.

But the min-heap is not completely full:

Add the minimum element to the output list after removing it from the min-heap.

Add the subsequent element from the list from which the minimal element was removed to the min-heap if it still contains items.

Get the output list back.Below is an analysis of this algorithm's time complexity:

The min-heap initialization process requires O(k) time.

Each element is added to and deleted from the min-heap exactly once after visiting each of the k input lists precisely once.

Hence, O represents the total number of operations carried out on the min-heap (n LG k).

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Answer:

350 + 15x = 275 + 20x where x = 15

Step-by-step explanation:

350 + 15x = 275 + 20x

350 - 275 = 20x - 15x

75 = 5x

75/5 = 5x/5

15 = x

350 + 15(15) = 275 + 20(15)

350+225 = 275+300

575 = 575

Answer:

2x-13

Step-by-step explanation:

First flip the operation to be (-10x^2+2x-10) + (10x^2-3).

Then you simplify it. The 10x^2 would get canceled out. You would then get 2x-13.

Null hypothesis: Gender and flight destination preference are independent.

Alternative hypothesis: Gender and flight destination preference are not independent.

The null and alternative hypotheses for this chi-square test can be stated as follows:

Null hypothesis (H0): Gender and flight destination are independent variables. There is no association between gender and preferred flight destination

Alternative hypothesis (H1): Gender and flight destination are dependent variables. There is an association between gender and preferred flight destination.

To calculate the chi-square statistic, we need to first construct the observed and expected contingency table. The degrees of freedom for a chi-square test in this case can be calculated as (number of rows - 1) * (number of columns - 1), which in this case is (2 - 1) * (4 - 1) = 3.

Using the chi-square table or a statistical software, we can find the critical chi-square value at a 2% significance level with 3 degrees of freedom.

The decision rule at the 2% significance level is: If the calculated chi-square statistic is greater than the critical chi-square value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

After calculating the chi-square statistic and comparing it with the critical chi-square value, we can make a decision. If the calculated chi-square statistic is greater than the critical chi-square value, we reject the null hypothesis, indicating that there is a significant association between gender and preferred flight destination. If the calculated chi-square statistic is less than or equal to the critical chi-square value, we fail to reject the null hypothesis, suggesting that there is no significant association between gender and preferred flight destination

A graph can be created to illustrate the decision, with the calculated chi-square statistic compared to the critical chi-square value at the 2% significance level. The key numerical values, such as the observed and expected frequencies, can be included in the graph.

Based on the decision made, there are two types of errors that can occur:

Type I error: Rejecting the null hypothesis when it is actually true, indicating a false positive result.

Type II error: Failing to reject the null hypothesis when it is actually false, indicating a false negative result.

The conclusion of the test should be interpreted in the context of the specific hypothesis and the significance level chosen.

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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Answer:

10 Guests

Step-by-step explanation:

200 - 75 = 125 (We need to find a number that will spend 125 dollars)

125 / 12.50 = 10

12.50 x 10 = 125

So the answer is 10

Answer:

The measure of the height is 34.6 meters

Product by factoring the tens the product of 3 x 200 is 600.

To find each product by factoring the tens we need to first look at each number and identify their tens digit and ones digit before multiplying by 3 to find their product. Let's consider each of the numbers:

1. 3 x 2 The tens digit in 2 is 0 since it has no tens, and the ones digit is 2.

We can then multiply the tens digit by 3, giving us 0, and multiply the ones digit by 3,

giving us 6. So:3 x 2 = 0 tens

and 6 ones Therefore,

the product of 3 x 2 is 6.2. 3 x 20

The tens digit in 20 is 2 and the ones digit is 0. We can then multiply the tens digit by 3, giving us 6, and multiply the ones digit by 3, giving us

0. So:3 x 20 = 6 t

ens and 0 ones Therefore,

the product of 3 x 20 is 60.3. 3 x 200

The tens digit in 200 is 0 and the ones digit is 0. We can then multiply the tens digit by 3, giving us 0, and multiply the ones digit by 3, giving us 0. So:3 x 200 = 0 tens and 0 ones

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Answer:

B

Step-by-step explanation:

cost in dollars (y)

number of shirts (x)

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

m1=51

supplementary angles so 180-129=51

m2=34

all triangles add up to 180, we know the other 2 angles we can find m2: 51+95=146, then 180-146=34

m3=95

vertical angle

m4=38

again, all triangles add up to 180, and we know the other 2 angles so we can simply add those together and subtract them from 180: 95+47=142, then 180-142=38

m5=47

vertical angle

m6=76

must find angle 7 first(see below), now you have two angles of the triangle so we do the same thing as m4 and m2: 45+59=104, 180-104=76

m7=59

supplementary angle again so 180-121=59

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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Answer:

The answer i can really use is x and x+5 but since ur asking of xx and yy here it is:

7.50 = 0.75(x) + 0.5(y)

Here is the 2nd solution (might be the first priority)

7.50 = total amount

0.75 = apple price ; x

0.50 = banana price ; x + 5

7.50 = 0.75(x) + 0.50(x + 5)

7.50 = 0.75x + 0.50x + 2.5

7.5 - 2.5 = 1.25x

5 = 1.25x

x = 4

7.50 = 0.75(4) + 0.50(4 + 5)

7.50 = 3 + 0.50(9)

7.50 = 3 + 4.5

7.50 = 7.50 //checks out

# of apples : x = 4 apples

# of bananas : x + 5 = 4 + 5 = 9 bananas

Step-by-step explanation:

Answer:

B,C, E

Step-by-step explanation:

A

a+11=15

8+11 = 19

false

B

1=8÷a

1 = 8÷8

1=1  true

C

15+a=23

15+8 = 23

23 = 23

true

D

42=7a

42 = 7*8

42 = 56

false

E

a-5=3

8-5 = 3

3=3 true

Answer:

2,400

Step-by-step explanation:

if you buy an item at $3000 with 20% discount, you will pay 3000 - 600 = 2400 dollars.  

i hope it helps :)

To determine whether the set W = {(x1, x2, 0, x3) : x1, x2, and x3 are real numbers} is a subspace of V = R^4, we need to verify if W satisfies the three conditions necessary for a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

Closure under addition: To check if W is closed under addition, we need to verify that for any vectors u = (x1, x2, 0, x3) and v = (y1, y2, 0, y3) in W, the sum u + v is also in W. Since the sum of two vectors u + v = (x1 + y1, x2 + y2, 0 + 0, x3 + y3) has the same form as vectors in W, closure under addition is satisfied.

Closure under scalar multiplication: To verify closure under scalar multiplication, we need to ensure that for any vector u = (x1, x2, 0, x3) in W and any scalar c, the scalar multiple cu is also in W. Since cu = (cx1, cx2, 0, c*x3) has the same form as vectors in W, closure under scalar multiplication is satisfied.

Containing the zero vector: The zero vector in V is (0, 0, 0, 0), which also has the form (x1, x2, 0, x3). Therefore, W contains the zero vector.

Since W satisfies all three conditions necessary for a subspace, namely closure under addition, closure under scalar multiplication, and containing the zero vector, we can conclude that W is indeed a subspace of V.

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Using the given information, we found the angles of the right triangle as:

∠R = 56.30º

∠P = 33.7º

∠Q = 90º

What is a right triangle?

A triangle with a right angle, also known as a right-angled triangle or right-angled triangle, more technically an orthogonal triangle, has two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle. A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To describe the sides of right triangles, we utilise specific terminology. The side opposite the right angle is always the hypotenuse of a right triangle.

Given one of the angles of the triangles as 90º.

So it is a right triangle.

PQ = 7.5cm
QR = 5cm
∠Q = 90º

The figure is given below.

Now PR is the hypotenuse.

Hypotenuse = \(\sqrt{base^2+height^2}\)

base = 5 = QR

height = 7.5 = PQ

PR = \(\sqrt{5^2+7.5^2} = \sqrt{81.25}\) = 9.01 cm

We can find the angles using trigonometric relations.

sin R = PQ/PR = 7.5/9.01 = 0.832

∠R = 56.30º

∠P = 180 - (∠Q+∠R) = 180 - (90+56.30) = 33.7º

Therefore using the given information, we found the angles of the right triangle as:

∠R = 56.30º

∠P = 33.7º

∠Q = 90º

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Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

\(\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25\)

\(\text{Total amount}=15.25+1.0675\)

\(\text{Total amount}=16.3175\)

Round to the nearest cent (two decimal places).

\(\text{Total amount}\approx 16.32\)

Therefore, the total value is $16.32.

Answer:

5x−5≥−185x-5≥-18Move all terms not containing xx to the right side of the inequality.Tap for more steps...5x≥−135x≥-13Divide each term in 5x≥−135x≥-13 by 55 and simplify.Tap for more steps...x≥−135x≥-135The result can be shown in multiple forms.Inequality Form:x≥−135x≥-135Interval Notation:[−135,∞)

The required answer is  x represents any real number greater than or equal to -13/5 in terms of the result of solving linear inequalities,

Given that, linear inequalities 5x−5≥− 18

To solve the inequality 5x - 5 ≥ -18, we can follow these steps:

Step 1: Add 5 to both sides of the inequality to isolate the term with x:

5x - 5 + 5 ≥ -18 + 5

This simplifies to:

5x ≥ -13

Step 2: Divide both sides of the inequality by 5 to solve for x:

(5x)/5 ≥ (-13)/5

Simplifying further:

x ≥ -13/5

So, the solution to the solving linear inequality is x ≥ -13/5.

In terms of the result of solving linear inequalities, x represents any real number greater than or equal to -13/5.

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To calculate the percentage decline of the stock, we need to find the percentage decrease in value compared to its initial value.

The initial value of the stock is $56.87 + $3.63 = $60.50 (before the decline).

The decline in value is $3.63.

To find the percentage decline, we can use the formula:

Percentage Decline = (Decline / Initial Value) * 100

Percentage Decline = ($3.63 / $60.50) * 100 ≈ 5.9975%

Therefore, the stock of Company A declined by approximately 5.9975%.

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Answer:

The most widely used continuous probability distribution in statistics is the normal probability distribution.

Step-by-step explanation:

The graph corresponding to a normal probability density function with a mean of μ = 50 and a standard deviation of σ = 5 is shown in Figure 3. Like all normal distribution graphs, it is a bell-shaped curve.