Find the value of x. Write your answer as a simplified radical if necessary.

Answer:

Slope = 1

Step-by-step explanation:

(x₁,y₁) = (6 , -3)    & (x₂ , y₂) = (3,-6)

\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-[-3]}{3-6}\\\\=\dfrac{-6+3}{-3}\\\\=\dfrac{-3}{-3}\\\\=1\)

The probability that a randomly selected girl takes economics but not history is 0.25 or 25%

To solve this problem, we can use the principle of inclusion-exclusion and the information provided to construct a Venn diagram. Let's represent the girls taking history as set H and the girls taking economics as set E. The intersection of H and E represents the girls taking both subjects.

From the given information, we know that the number of girls taking history (|H|) is 13, the number of girls taking economics (|E|) is 8, and the number of girls taking both subjects (|H ∩ E|) is 3.

To find the number of girls taking economics only, we subtract the number of girls taking both subjects from the total number of girls taking economics:

|E - H| = |E| - |H ∩ E| = 8 - 3 = 5.

Therefore, there are 5 girls taking economics but not history. The probability of selecting a girl who takes economics but not history is given by:

P(E - H) = |E - H| / Total number of girls = 5 / 20 = 1/4 or 0.25.

Hence, the probability that a randomly selected girl takes economics but not history is 0.25 or 25%.


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Answer:

Step-by-step explanation:

0.62

Answer:

Step-by-step explanation:

0.62

The Maclaurin polynomial of a function f(x) is an approximation of the function using its Taylor series expansion centered at x = 0. In this case, we are given that 3 is the Maclaurin polynomial of f(x).

To find the maximum possible value of |f(1.8) - 3(1.8)|, we can use the error bound for the Maclaurin polynomial. The error bound tells us that the absolute value of the error between the function and its polynomial approximation is bounded by the next term in the Taylor series.

In this case, since 3 is the third-degree Maclaurin polynomial, the error bound is given by the fourth term in the Taylor series. Let's denote this term as E(x). Then we have:

E(x) = |f(x) - P3(x)| ≤ M * |x - 0|^4

Where P3(x) represents the third-degree Maclaurin polynomial and M represents the maximum value of the fourth derivative of the function on the interval of interest.

To find the maximum possible value of |f(1.8) - 3(1.8)|, we need to find the maximum value of the fourth derivative of f(x) on the interval of interest. Once we have this value, we can substitute it into the error-bound equation along with the given x-value of 1.8.

Unfortunately, without specific information about the function f(x), we cannot determine the maximum value of |f(1.8) - 3(1.8)| or the specific error bound. The error bound depends on the behavior of the function and the interval of interest.

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The local extremizer of the problem is not necessarily a global minimizer. To determine if the local extremizer is also the global minimizer, we need to consider the nature of the objective function and the constraints.

In this problem, we aim to minimize the objective function x₁x₂ subject to the constraints x₁ + x₂ ≥ 4 and x₂ ≥ x₁. Let's analyze the constraints and the objective function.The constraint x₁ + x₂ ≥ 4 represents a line in the x₁-x₂ plane that defines the feasible region. The constraint x₂ ≥ x₁ represents the region above the line y = x in the same plane. The

The  feasible region satisfying both constraints is the region above the line y = x and to the right of the line x₁ + x₂ = 4.
The objective function x₁x₂ represents the product of the variables x₁ and x₂. As x₁ and x₂ decrease, the objective function decreases as well.To determine if the local extremizer is a global minimizer, we need to evaluate the objective function within the feasible region. Since the objective function decreases as x₁ and x₂ decrease, the minimum value of the objective function occurs at the corner point of the feasible region where the two lines intersect.
The intersection point is x₁ = 2 and x₂ = 2, which satisfies both constraints. Evaluating the objective function at this point, we get x₁x₂ = 2 * 2 = 4.However, there is no guarantee that this local extremizer is the global minimizer. It is possible that there exists another point outside the feasible region where the objective function takes a smaller value, making that point the global minimizer.
Therefore, the local extremizer is not necessarily the global minimizer of the problem.

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The first premise states that Newton, Maxwell, and Einstein worked with physics. This means that they were all involved in the study and exploration of physical phenomena and natural laws. Newton's laws of motion, Maxwell's equations of electromagnetism, and Einstein's theory of relativity are all significant contributions to the field of physics. This premise is important in understanding the cartoon's message that even the greatest minds in physics could not have predicted the events of 2020. It is a reminder that science and knowledge are constantly evolving and that we must remain open to new discoveries and possibilities.

The translation of the first premise is a statement about the involvement of Newton, Maxwell, and Einstein in the field of physics. It acknowledges their contributions to the study of physical phenomena and natural laws. It is a recognition of their status as some of the most influential scientists in history, whose work has had a profound impact on our understanding of the world around us.

The first premise of the cartoon highlights the importance of physics and the contributions of some of its most prominent figures. It underscores the idea that science and knowledge are constantly evolving and that we must remain open to new discoveries and possibilities. It is a reminder that even the greatest minds in physics could not have predicted the events of 2020, and that we must continue to push the boundaries of our understanding of the world around us.

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The division of 12e⁵ by 3e³ will be 4e².

In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.

The symbol of + represents the addition

The symbol of ÷  represents the division

The symbol of - represents subtraction

The symbol of × represents multiplication

Given the division,

12e⁵ by 3e³

⇒ 12e⁵ / 3e³

⇒ 12/3 × e⁵/e³

⇒ 4e²

Hence "The division of 12e⁵ by 3e³ will be 4e²".

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Given information:

Raoul collects sports cards.

He has six baseball cards, three football cards, four hockey cards, and three basketball cards.

Raoul has a total of 6 + 3 + 4 + 3 = 16 sports cards.

The number of hockey cards he has is 4.

Therefore, the fraction of his sports cards that are hockey cards is:

4/16

Simplifying the fraction by dividing both the numerator and denominator by 4, we get:

1/4.

So, 1/4 of Raoul's sports cards are hockey cards.

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Answer:

x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2

Step-by-step explanation:

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

\(x=67.38^\circ\)

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)

Now to solve for x, take the inverse cosine

\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

Answer:

29

Step-by-step explanation:

The total distance was 210 km

He traveled from 8:00 to 11:30, which is 3.5 hours

Average speed = distance / time

Average speed = 210/3.5 = 60km per hour

Answer:

25.37 days

Step-by-step explanation

find how long it'll take for him to do it in one day

15.12 times 8

120.96

then divide 3069.25 by 120.96

25.37 days

With the same speed, the number of days that Juan takes to complete the race will be 25.37 days.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Speed = 15.12 miles/hour

The number of miles that can be covered in one day (in 8 hours ) will be,

⇒ 15.12 x 8 = 120.96

The number of days it takes to cover 3069.25 miles.

⇒ 3069.25 miles / 120.96 miles = 25.37 days.

Hence "Juan's time required to finish the event at the same speed will be 25.37 days".

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Answer:  B 9:21

Step-by-step explanation:

9 reduces to three and 21 reduced to 7

Answer:McDonald’s

Step-by-step explanation:because they pay very low and u should have -3 -5 -10

Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

Answer:

B.105

Step-by-step explanation:

To solve you have to find the volume

The equation is length*width*height=volume

7*3=21

21*5=105

Answer: Length is 12in and width is 16in

Let's use the ratio method!

3+3+4+4 is 14

Let's think the length as," L " and the width as," W "

L / 56 = 3/14

L = 3/14 * 56

L = 12

And for width:

W / 56 = 4/14

W =4/14 * 56

W = 16

There you go! We did it!

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We need to find the total number of such $m$'s with distinct digits whose product of all digits of positive integer $m$ is $105. $Here we have, $105=3×5×7$Therefore, the number $m$ must have $1,3, $ and $5$ as digits.

Also, $m$ must be a three-digit number because $105$ cannot be expressed as a product of more than three digits. For the ones digit, we can use $5. $For the hundreds digit, we can use $1$ or $3. $We have two options to choose the digit for the hundred's place (1 or 3). After choosing the hundred's digit, the tens digit is forced to be the remaining digit, so we have only one option for that. Therefore, there are $2$ options for choosing the hundred's digit and $1$ option for choosing the tens digit. Hence the total number of $m$'s possible$=2 × 1= 2.$Therefore, there are two such $m$'s.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

the area of the trapezoid is 78cm^3

Step-by-step explanation:

The lateral area of the right prism is  48 cm².

The lateral surface area of the prism is calculated as follows;

L.S.A = Bh

where;

The perimeter of the base is calculated as;

B = Side 1 + Side 2 + Side 1 + Side 2

B = 6 cm + 2 cm + 6 cm + 2 cm

B = 16 cm

L.SA. = Bh

L.S.A = 16 cm x 3 cm

L.S.A = 48 cm²

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Answer:

hdwhdbehqj

Step-by-step explanation:

223499

3344rbjee

The effects of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −(3x)2 − 4 in the graph is stretched vertically down by 3 units and shifted left to 4 units.

We have to determine the effect of the transformations on the graph of ƒ(x) = x^2 when changed to ƒ(x) =1/2(x − 5)^2 + 7

The vertex form of the quadratic equation is f(x) = a(x-h)^2 + k.

ƒ(x) = −(3x)2 − 4 compare with vertex form therefore we have

a=-3,h=0 k= -4.

a= -3  means the 3 units down to the axis, the wider, so this will stretch vertically down.

h=0

k=-4 this means that the graph is shifted down 4 units.

The answer is stretched vertically down by 3 units, shifted left to  4 units.

A vertex is a special point of a mathematical object and is usually a location where two or more lines or edges meet. Vertices are most commonly encountered in angles, polygons, polyhedra, and graphs. Graph vertices are also known as nodes

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

multiply total weight by unit cost

8.8 x 2.09 = 17.765 = $17.77

Step-by-step explanation:

Answer:

TC(x) = ($2.09/lb)(8.5 lb) = $17.77

Step-by-step explanation:

The total cost is the product of (unit price) and (number of pounds):

TC(x) = ($2.09/lb)(8.5 lb) = $17.77