A,B & C lie on a straight line.
D, B & Elie on a different straight line.
Z CBE = 52°
Work out the angle marked 2.
D
х
С
A
B
E
The diagram is not drawn accurately.

Answer:

500,000,000,000,000,000,000

Step-by-step explanation:

Answer:

1) \(m\)∠JKL = 145°

2) \(m\)∠IHG = 164°

3) \(m\)∠NME = 50°

4) \(m\)∠TUV = 178°

I hope this helps! (✿◠‿◠)

slope = rise / run

2 + 0 / 12 + 14

2 / 26 = 1 / 13 slope

Answer:

1164.1

Step-by-step explanation:

Answer:

I think the answer is B. 54

Answer:

D. 53

Step-by-step explanation:

"without the outlier"...the outlier is 91 because it is way higher than all the other number which are in the 50's. So you just find the mean of 51, 54, 55, and 52.

To do this, you add all the numbers together and divide by how many numbers there are.

51+54+55+52=212

212/4=53

The mean is 53

Answer:

v=8

Step-by-step explanation:

12=12+v−8/2

12=12+1/2

v+−4(Distribute)

12=(1/2v)+(12+−4)(Combine Like Terms)

12=1/2v+8

Step 2: Flip the equation.

1/2v+8=12

Step 3: Subtract 8 from both sides.

1/2v+8−8=12−8

Step 4: Multiply both sides by 2.

2*(1/2v)=(2)*(4)

v=8

Your twin is likely to visit the dentist more frequently than you due to the difference in insurance plans.

Based on the given information, your insurance plan has a fixed copay of $40 for each doctor's visit, while your twin's copay is 20% of the total cost. Considering the local dentist charges $150 for a cleaning, you would pay a fixed copay of $40 regardless of the total cost. On the other hand, your twin's copay would be 20% of $150, which amounts to $30. Therefore, your twin would have a lower out-of-pocket expense for each dentist visit compared to you.

Due to the lower copay, your twin is more likely to visit the dentist more frequently. The difference in copayments means that your twin would save $10 on each visit, making it more cost-effective for them to seek dental care. This financial advantage would incentivize your twin to take better advantage of their insurance plan and visit the dentist more often.

Based on this reasoning, it is unlikely that you and your twin would visit the dentist the same number of times. Furthermore, there is no indication in the given information that your twin would switch insurance plans, as their plan offers a more favorable copayment structure for dental visits.

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Answer:

You didnt put any answer choices but by applying that scale factor, I got these measurements in the order you put them in. 0.5. 1.25. 1.75. 3.

The size of the tumor grows exponentially with time, and the rate of growth is determined by the constant k.

The growth of a tumor can be modeled by exponential growth, which means that the rate of growth of the tumor is proportional to its current size. Therefore, we can write the differential equation satisfied by S, the size of the tumor, as a function of time t, as:

dS/dt = kS

where k is a positive proportionality constant. This equation is known as the exponential growth model and it states that the rate of change of the size of the tumor, dS/dt, is proportional to the size of the tumor, S, with the constant of proportionality being k.

Solving this differential equation gives us the following general solution for S as a function of time t:

S(t) = S0 * e^(kt)

where S0 is the initial size of the tumor at t=0. This equation shows that the size of the tumor grows exponentially with time, and the rate of growth is determined by the constant k.

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Answer:

A. 113 degree

Step-by-step explanation:

These are Alternate Interior Angles, which means the 113-degree angles and the? are equal. So, the answer is A

Using PEMDAS

We must first clear P which stands for Parentheses

The values in the parentheses are (12.9 -3.1)

so the first and right option is option c subtract 3.1 from 12.9

The probability of hitting a yellow balloon on the first try is 10/25 or 2/5. After hitting the first yellow balloon, there are now 24 balloons left on the board, with 9 of them being yellow. The probability of hitting a yellow balloon on the second try is 9/24 or 3/8. To find the probability of both events happening, we multiply the probabilities together:

P(first yellow) * P(second yellow) = (2/5) * (3/8) = 6/40 = 3/20

Therefore, the probability that the next balloon hit is also yellow given that the first balloon hit is yellow is 3/20.

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The expression that is equivalent to (1 + (1/y))/(1 - (1/y)) is; (y + 1)/(y - 1)

We want to find the expression that is equivalent to;

(1 + (1/y))/(1 - (1/y))

Let us first simplify the numerator (1 + (1/y))

By using LCM method, we can express the numerator as;

(y + 1)/y

Similarly, for the denominator we have;

(1 - (1/y)) = (y - 1)/y

Thus the original expression is now;

((y + 1)/y)/((y - 1)/y)

y will cancel out to give us;

(y + 1)/(y - 1)

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Answer:

B. y+1/y-1

Step-by-step explanation:

edge 2022

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

I AM STUCK ON THAT ONE TO!!!

Step-by-step explanation:

CAN SOMEONE PLZZZ HELP!!

To evaluate the series Σ(3^n/(141·3²ⁿ) from n=1 to infinity converges or diverges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely;

if the limit is greater than 1, then the series diverges; and if the limit is exactly 1, then the test is inconclusive.

Let's first apply the ratio test to this series:

| (3ⁿ+¹/(141·3²ⁿ+¹) * (141·3²ⁿ))/(3ⁿ |

= | 3/141 |

= 1/47

Since the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges absolutely.

To compute the sum of the series, we can use the formula for the sum of a geometric series:

Σ(3ⁿ/(141·3²ⁿ) = 3/141 Σ(1/9)ⁿ from n=1 to infinity

= (3/141) · (1/(1-(1/9)))

= 27/470

Therefore, the series converges absolutely and its sum is 27/470.

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The constant of proportionality that relates the cost in 72 dollars as y, to the number of gallons of unleaded gasoline in 22.5 gallons of unleaded gasoline as x is $3.20 per gallon of unleaded gasoline.

The constant of proportionality is the ratio of the so-called proportional relationship that relates two given values ​​to each other.

Other names for the constant of proportionality are constant ratio, constant rate, unit rate, variable constant, and even rate of change.

The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.

y/x = k

k is the constant of proportionality.

Given that:

y = $72 and x = 22.5 gallons.

So, the value of the constant of proportionality (k) = 72/22.5

=> k = 720/225

Dividing both by the numerator and denominator by 45. We get,

=> k = 16/5

The value of the constant of proportionality (k) = $3.20 per gallon of unleaded gasoline.

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a crab has a exoskeleton

Answer:

104ft^2

Step-by-step explanation:

Area of a square = L²

L is the side length of the square

132.25 ft² = L²

L = √132.25

L = 11.5ft

This shoes that the diameter of the circle is 11.5ft

Area of a circle = πd²/4

Area of a circle = 3.14(11.5)²/4

Area of a circle = 3.14(132.25)/4

Area of a circle = 103.82

Hence the approximate area of the circle is 104ft^2

Step-by-step explanation:

Simplify the expression

Solution :

Given :

\($f(x)=x^3-x^2-18x+19$\)

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

\($f(x)=(x-k)q(x)+r$\)

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

\($x-4$\)    |    \($x^3-x^2-18x+19$\)         |      \($x^2+3x-6$\)

            \($x^3-4x^2$\)

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

                    \($3x^2-18x$\)

                    \($3x^2-12x$\)

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

                          \($-6x+19$\)

                          \($-6x+24$\)

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

                                  \($-5$\)

Therefore,

q(x) =  \($x^2+3x-6$\)

  r = -5

\($f(x)=(x-4)(x^2+3x-6)-5$\)

\($f(4)=(4-4)(4^2+3 \times 4-6)-5$\)

       \($=-5$\)

After the formation of the European Union (EU), it eliminated all tariffs among its member countries. This means that there are no import taxes or duties imposed on goods traded between EU member countries.

One of the key objectives of the European Union is to create a single market among its member countries, fostering economic integration and facilitating the free movement of goods, services, capital, and people. As part of this goal, the EU implemented the elimination of tariffs among its member countries. Tariffs are taxes or duties imposed on imported goods, which can increase their cost and hinder trade.

By removing tariffs, the EU promotes the free flow of goods within its borders. This has significant benefits for businesses and consumers within the EU, as it allows for increased trade, competition, and access to a wider range of products. Eliminating tariffs encourages economic cooperation and integration among EU member countries, creating a more seamless and efficient trading environment.

Option a is incorrect because the EU does not bar imports of specific products or favor domestic companies. Option c is incorrect because the EU aims to promote trade and economic activity among its member countries rather than decreasing imports and exports. Option d is incorrect because the North American Free Trade Agreement (NAFTA) is a trade agreement between the United States, Canada, and Mexico and is not directly related to the European Union.

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Answer:

cos B

Step-by-step explanation:

Let us take a look at angle B

The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25

The relationship between the adjacent and the hypotenuse can be mapped our using the cosine

So, the cosine is the ratio between the adjacent and the hypotenuse

Hence, cos B = 24/25

Answer:

x>-1.5

Step-by-step explanation:

Based on the cost-to-cost trade-off calculations, the company should choose the 83 mph speed, resulting in a total cost of $764.

To evaluate the cost-to-cost trade-offs, we need to consider the fuel cost and the cost of delay due to slower mph. The distance to be covered is 720 miles. At a speed of 90 mph, the fuel efficiency is 8 miles per gallon, and at 83 mph, it is 10 miles per gallon. The diesel fuel cost is $8.64 per gallon, and the cost of delay due to slower mph is $630.
To calculate the total cost for each speed, we divide the distance by the miles per gallon to determine the number of gallons needed. Then, we multiply the number of gallons by the fuel cost per gallon and add the cost of delay, if applicable.
For 90 mph: Total fuel cost = (720 miles / 8 miles per gallon) * $8.64 per gallon = $777.60.
For 83 mph: Total fuel cost = (720 miles / 10 miles per gallon) * $8.64 per gallon = $622.08.
Adding the cost of delay for 83 mph: Total cost = $622.08 + $630 = $1252.08.
Therefore, choosing the 83 mph speed results in a total cost of $764, which is lower than the total cost of $1252.08 for the 90 mph speed. Thus, the company should choose the 83 mph speed according to the cost-to-cost trade-off calculations.

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Answer: parallelograms

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96

Answer:

4) a₁₅ = 128

5) B. \(a_n=a_{n-1}+6\)

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

\(a_n=a_1+(n-1)d\)

Here, the common difference is 9.

\(11-2=9\\20-11=9\)

Use that to write the equation and solve for a₁₅:

\(a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128\)

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

\(a_n=a_{n-1}+d\)

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

\(2--4=6\\8-2=6\\14-8=6\)

And the equation for this is B. \(a_n=a_{n-1}+6\)

The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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