if ur dad ran away with the milk how many dads will u have?

Answer:

$3000

Step-by-step explanation:

The computation of the total medical bill is shown below:

Let us assume the total medical bill be $x

For plan 1,

As he pays 10% of x, So 10% of x - (1)

For plan 2 ,

As he pays 5% of x + 150, that is 0.05 of x + 150 - (2)

Now equate both the equations

0.10x = 0.05x + 150

0.05x=150

x = $3000

Total medical bill = $ 3000

The function c(t) represents the cost of a single ticket based on the number of tickets purchased. It consists of a base cost (constant term) and an additional cost per ticket (coefficient of t). By plugging in different values for t, you can determine the cost for different group sizes.

The cost of a single ticket, represented by the function c(t), depends on the number of tickets, t, purchased in a group. To understand this better, let's break it down step-by-step:

1. The function c(t) represents the cost of a single ticket. It tells us how the cost varies depending on the number of tickets purchased in a group.

2. Let's consider an example to illustrate this concept. Suppose the function c(t) is given by the equation c(t) = 10 + 5t. Here, t represents the number of tickets purchased.

3. In this example, the constant term 10 represents the base cost of a ticket. It is the cost you would incur even if you purchase no tickets (t = 0).

4. The coefficient of t, which is 5 in this case, represents the additional cost for each ticket purchased. For every additional ticket, the cost increases by 5 units.

5. For instance, if you purchase 1 ticket (t = 1), the cost would be c(1) = 10 + 5(1) = 15. If you purchase 2 tickets (t = 2), the cost would be c(2) = 10 + 5(2) = 20. And so on.

6. By plugging in different values for t into the function c(t), you can calculate the cost for different numbers of tickets.

To summarize, the function c(t) represents the cost of a single ticket based on the number of tickets purchased. It consists of a base cost (constant term) and an additional cost per ticket (coefficient of t). By plugging in different values for t, you can determine the cost for different group sizes.

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Answer: x=5

Step-by-step explanation:

Answer:

180° in a triangle

10x = 180

180/10 = x

X= 18

2 x 18 = 36°

<C = 36°

An isosceles triangle have equal base angles.

The measure of angle C is 36 degrees.

The given parameters are:

\(\mathbf{\angle A = \angle C = 2x}\)

\(\mathbf{\angle B = 6x}\)

The sum of angles in a triangle is 180 degrees.

So, we have:

\(\mathbf{\angle A + \angle B + \angle C = 180}\)

Substitute the expressions for A, B and C

\(\mathbf{2x + 6x + 2x = 180}\)

\(\mathbf{10x = 180}\)

Divide both sides by 5

\(\mathbf{2x = 36}\)

Recall that:

\(\mathbf{\angle C = 2x}\)

So, we have:

\(\mathbf{\angle C = 36}\)

Hence, the measure of angle C is 36 degrees.

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10. The correct answer is c. Neither ET ⊥ DF nor ET bisects DF is necessarily true. Just because ET bisects ∠DEF in an isosceles triangle △DEF, it does not mean that ET is perpendicular to DF. The perpendicularity of ET and DF depends on the specific angles of the triangle.

11. The correct answer is e. a, b, and c are correct. The three conditions listed in options a, b, and c can be used to determine if two lines are parallel. If a transversal forms a pair of congruent alternate interior angles (option a) or a pair of congruent corresponding angles with the transversal (option c), then the lines are parallel. Additionally, if a transversal forms a pair of complimentary interior angles on the same side of the transversal (option b), then the lines are also parallel.

12. The correct answer is d. m∠TQR = m∠QPT + m∠PQT. According to the Angle Addition Postulate, the measure of an angle formed by two adjacent angles is equal to the sum of their measures. In this case, m∠TQR is equal to the sum of m∠QPT and m∠PQT.

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Answer: \(5.79\times 10^{7}\ \text{Hz}\)

Step-by-step explanation:

Given

Speed of radar wave \(v=2\times10^{6}\ m/s\)

the wavelength of radar wave \(\lambda =0.0345\ m\)

We know, \(velocity=frequency\times wavelength\)

\(frequency=\dfrac{\text{velocity}}{\text{wavelength}}\)

\(frequency=\dfrac{2\times10^6}{3.45\times10^{-2}}\)

\(frequency=5.797\times 10^{7}\ Hz\)

The turkey farmer should guarantee a weight of 13.45 pounds to have to give her customers' money back only 1% of the time.

To determine the weight the turkey farmer should guarantee, we need to find the value that corresponds to the 99th percentile of the normal distribution. Using the mean (9.0 pounds) and standard deviation (2.8 pounds) provided, we can calculate this value.

To find the 99th percentile, we can use the Z-score formula: Z = (X - μ) / σ, where Z is the standard score, X is the value we're looking for, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for X, we have X = Z * σ + μ.

Since we want the 99th percentile, we need to find the Z-score that corresponds to that percentile. Using a standard normal distribution table or calculator, we find that the Z-score for the 99th percentile is approximately 2.33.

Plugging the values into the formula, we have X = 2.33 * 2.8 + 9.0 = 13.45 pounds. Therefore, the turkey farmer should guarantee a weight of at least 13.45 pounds to have to give her customers' money back only 1% of the time.

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Answer:

Step-by-step explanation:

x = 56

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4      

h= 2

r= 4/2     r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

The polynomial "625x⁴ 1,875x³ 5,625x² 16,875x 50,625" can be factored using the binomial theorem.

This polynomial can be written in the form of (a + b)ⁿ, where n is a positive integer.

The binomial theorem states that this polynomial can be expanded as a sum of terms involving powers of a and b, and the coefficients of these terms can be determined using combinatorial formulas. The polynomial "625x^4 1,875x^3 5,625x^2 16,875x 50,625" can be factored using the binomial theorem.

In this case, you have a binomial with a = 5x and b = 3. The exponent is 4, so the expansion will have 5 terms.

You can use the formula for the coefficients of the terms in the binomial expansion:

C(n, k) * a^(n-k) * b^k,

where C(n, k) is the binomial coefficient, equal to n! / (k! * (n-k)!).

Using this formula, you can find the coefficients of each term in the expansion.

The first term will have a coefficient of C(4,0) = 1, and it will be equal to (5x)⁴ * 3⁰ = 625x⁴.

The second term will have a coefficient of C(4,1) = 4, and it will be equal to (5x)³ * 3¹ = 1,875x³.

The third term will have a coefficient of C(4,2) = 6, and it will be equal to (5x)² * 3² = 5,625x².

The fourth term will have a coefficient of C(4,3) = 4, and it will be equal to (5x)¹ * 3³ = 16,875x.

The fifth term will have a coefficient of C(4,4) = 1, and it will be equal to (5x)⁰ * 3⁴ = 50,625.

So, the expanded form of the polynomial is 625x⁴ + 1,875x³ + 5,625x² + 16,875x + 50,625.

The polynomial "625x⁴ 1,875x³ 5,625x² 16,875x 50,625" can be factored using the binomial theorem, and

the expanded form of the polynomial is 625x⁴ + 1,875x³ + 5,625x² + 16,875x + 50,625.

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Answer:

  -63

Step-by-step explanation:

Compare ...

  f(x) = x^2 -3x +18

to the standard form ...

  f(x) = ax^2 +bx +c

and you will see that ...

  a = 1, b = -3, c = 18.

__

The value of the discriminant is ...

  d = b^2 -4ac

  d = (-3)^2 -4(1)(18) = 9 -72 = -63

The discriminant is -63.

Answer:

Option D :

The figure defined by the intersection of a cone and a plane.

9514 1404 393

Answer:

Step-by-step explanation:

1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9

__

2. x = (9.82 -28.18)/5.1 = -3.6

__

3. y = 3/2 -1/4 = 5/4

__

4a. t = 2(3 -1/4) = 11/2

4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8

4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18

Answer:

each frisbee costs $1.19

Answer:

It should be $1.19 I hope this helps

Step-by-step explanation:

The measure of m∠X is 70°

From the question, we have

Sum of interior angles of a triangle is equals to 180 degree

∠W+∠X+∠V=180°

2∠W+∠V=180°

2∠W+40°=180°

2∠W= 180°-40°

2∠W=140°

∠W = 70°

∠W = ∠X = 70°

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

Complete question:

In triangle VWX above, overline VW = overline VX and angle V = 40 degrees. What is the measure of m∠X

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Step-by-step explanation:

Answer:

quaradict

Step-by-step explanation:

pretty sure F(x)=x^2

Answer:  g o f = {(2,2), (3,4), (4,3), (1,3)}

Step-by-step explanation: First we'll find f(x):-

f(1) = 2

f(3) =3

f(2) =4

f(4) =1

Now we'll find g(x):-

g(2) = 2

g(3) = 4

g(4) = 3

g(1) = 3

Therefore, gof(x) = {(2,2),(3,4),(4,3),(1,3)}

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(gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

To find the composite function (gof)(x), we first apply the function g to the input x, then apply the function f to the result.

For example, if we want to find (gof)(2), we first find g(2) = 2, then find f(2) = 4, so (gof)(2) = f(g(2)) = f(2) = 4.

So to find (gof)(x) we have to substitute the value of x in function g, then the output of function g in function f.

For the given set of functions f and g, the composite function (gof)(x) is:

(gof)(1) = f(g(1)) = f(3) = 3

(gof)(2) = f(g(2)) = f(2) = 4

(gof)(3) = f(g(3)) = f(4) = 3

(gof)(4) = f(g(4)) = f(3) = 3

So (gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

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Step-by-step explanation:

Hey there!!

You can simply work with it.

(5x - 17)° + (3x - 11)° = 180° { Being a linear pair}.

or, 8x - 28°= 180°

8x = 180° + 28°

\(x = \frac{208}{8} \)

Therefore, the value of x is 26°.

Now,

3x - 11°= 3×26°-11° = 67°

Again,

67°+90°+(2y+5)° = 180° { being linear pair}.

157°+2y+5° = 180°

or, 2y + 162° = 180°

or, 2y = 180° - 162°

\(y = \frac{18}{2} \)

Therefore, the value of y is 9°.

The value of x is 26° and y is 9°.

Hope it helps....

Therefore, the total number of ways the lights can be arranged on the string is: 14! / (2! * 4! * 5! * 2!).

To find the number of ways the lights can be arranged on a string, we need to calculate the total number of permutations.

The total number of lights is 2 red lights + 4 yellow lights + 5 blue lights + 1 green light + 2 pink lights = 14 lights.

Since all the lights are distinct, we can arrange them in 14! (factorial) ways. However, since there are repetitions of certain colors, we need to account for that.

The red lights are identical, so we divide by 2! (the number of permutations of the red lights among themselves).

The yellow lights are identical, so we divide by 4! (the number of permutations of the yellow lights among themselves).

The blue lights are identical, so we divide by 5! (the number of permutations of the blue lights among themselves).

The pink lights are identical, so we divide by 2! (the number of permutations of the pink lights among themselves).

Therefore, the total number of ways the lights can be arranged on the string is:

14! / (2! * 4! * 5! * 2!)

You can calculate this expression to find the specific number of arrangements.

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The Solution:

Given:

Required:

Simplify the given expression using the difference of two squares.

The difference of two squares formula:

To determine the general solution of the given nonhomogeneous differential equation using the method of undetermined coefficients. So, the general solution of the given nonhomogeneous differential equation is \(y(x) = csin(9x) + dcos(9x).\)

To determine the general solution of the given nonhomogeneous differential equation using the method of undetermined coefficients, we start by assuming a particular solution of the form:

\(y_p(x) = Asin(9x) + Bcos(9x)\)

where A and B are constants to be determined.

Taking the derivatives, we have:

\(y'_p(x) = 9Acos(9x) - 9Bsin(9x)\\y''_p(x) = -81Asin(9x) - 81Bcos(9x)\)
Substituting these into the original differential equation, we get:

\((-81Asin(9x) - 81Bcos(9x)) + 81(Asin(9x) + Bcos(9x)) = -126sin(9x) - 54cos(9x)\)
Simplifying, we find:

\((-81A + 81A)sin(9x) + (-81B + 81B)cos(9x) = -126sin(9x) - 54cos(9x)\)

This equation simplifies to:

\(0 = -126sin(9x) - 54cos(9x)\)

Comparing the coefficients of sin(9x) and cos(9x), we have:

\(0 = -126  --- > A = 0\\0 = -54   --- > B = 0\)

Thus, the particular solution is \(y_p(x) = 0.\)

The general solution of the nonhomogeneous differential equation is the sum of the complementary solution and the particular solution:

\(y(x) = y_c(x) + y_p(x)\\     = csin(9x) + dcos(9x) + 0\\     = csin(9x) + dcos(9x)\)

Therefore, the general solution of the given nonhomogeneous differential equation is \(y(x) = csin(9x) + dcos(9x).\)

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Answer:

8:9

Step-by-step explanation:

32 min: divided by 4= 8

36 min: divided by 4= 9

In simplest form the answer would be 8:9

What I just did there is called simplifying.

To simplify, you will need to divide both numbers by the same number for example 15:5, this simplified would be 3:5 due to how we multiplied both numbers by the same amount, 5. This works just like how 32:36 in simplest form would be 8:9.

Answer:

x>3

Step-by-step explanation:

2x + 10 < 5x + 1

Add -5x and -10 on both sides of the inequality.

2x + 10 -10 -5x < 5x + 1 -5x -10

2x -5x < 1 -10

Subtract like terms.

-3x < -9

Multiply -1 and reverse the inequality.

3x>9

Divide 3 into both sides of the inequality.

3x/3>9/3

x>3

Answer: x > 3

Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.

Next, put your numbers together on the right by

subtracting 10 from both sides and we have -3x < -9.

To get x by itself, divide both sides by -3, but watch out.

If you multiply or divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to

switch the direction of the inequality sign when multiplying or

dividing both sides of an inequality by a negative.

So we have x > 3 as our answer.

I have graphed the solution below.

If Derek deposits $2,071.00 per year into an account starting today and ending in year 12.00, and the account earns 4.00% interest, then there will be $31,118.44 in the account 12.0 years from today.

Future value = Deposit amount * (1 + Interest rate)^Number of years

Future value = $2,071.00 * (1 + 0.04)^12

Future value = $31,118.44

The future value of the investment will be significantly more than the total amount of deposits made.

This is because of the power of compound interest. Compound interest is when interest is earned on both the original deposit and on any interest that has already been earned.

Over time, compound interest can have a significant impact on the growth of an investment.

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Answer:

0

Step-by-step explanation:

The y's are the same so they do not go up or down so the slope is 0.

The slope of the line passes through points (10, 3) and (2, 3) is 0.

Given that,
The slope of the line that passes through points (10, 3) and (2,3) is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The slope of the line passes through the point (10, 3) and (2, 3).
Now, put the point in the equation of the slope,

m =(y₂ - y₁) /  (x₂ - x₁)
m = 3 - 3 / (2 - 10)
m = 0 / -8
m = 0

Thus, the slope of the line passes through the points (10, 3) and (2, 3) is 0.

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