will give brainless :D ​

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer: 98 deg

Step-by-step explanation:

angles 3 and 4 are supplementary; this means their sum is 180 degrees.

so simply put, 180 - angle 3 = angle 4

180 - 82 = 98

The value of the function [tex]\rm f (x) = \frac{18}{6} + 5e^{-0.1x}[/tex] at x = 6 will be 5.744.

Given that:

Function, [tex]\rm f (x) = \frac{18}{6} + 5e^{-0.1x}\ \ or \ \ f (x) = 3+ 5e^{-0.1x}\\[/tex]

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The value of the function at x = 6 is calculated as,

[tex]\rm f (x) = 3+ 5e^{-0.1\times 6}\\\\f (x) = 3+ 5e^{-0.6}[/tex]

Simplify the equation further, then we have

f(x) = 3 + 5 · 0.5488

f(x) = 3 + 2.744

f(x) = 5.744

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Answer:

28 in²

Step-by-step explanation:

Area of parallelogram = base X vertical height

= 7 X 4

= 28 in²

Mark's accusation is incorrect. Based on the blood type combinations, it is possible for the children to have the observed blood types without any infidelity. Mark owes his wife an apology for the false accusation.

Mark has blood type AB, which means he has one A allele and one B allele.

Mark's wife has blood type O, which means she has two O alleles.

One child has blood type A, indicating they have inherited one A allele.

One child has blood type B, indicating they have inherited one B allele.

One child has blood type O, indicating they have inherited two O alleles.

Child 1:

Mark's allele: A

Wife's allele: O

Possible combinations: AO

Child 2:

Mark's allele: B

Wife's allele: O

Possible combinations: BO

Child 3:

Mark's allele: A or B (since Mark has AB blood type)

Wife's allele: O

Possible combinations: AO or BO

From the possible combinations, we can see that it is possible for the children to have blood types A, B, and O without any issues.

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Answer:

The answer is 2,000,

Step-by-step explanation:

Probability :- Probability is a way to gauge how likely something is to happen. It is represented by a number between [tex]0[/tex] and [tex]1[/tex], with [tex]0[/tex] denoting an impossibility and [tex]1[/tex] denoting a certainty. By dividing the number of favorable outcomes by the total number of possible outcomes, the probability of an event is determined.

A total of  [tex]32 + 40 + 300 = 372[/tex]  children either take bus number seven, bus number ten, or walk to school.

The proportion of students that ride bus [tex]7[/tex] or bus [tex]10[/tex] to the total number of students determines the likelihood that a student will board either bus [tex]7[/tex]or bus [tex]10[/tex].

[tex]P(taking bus number seven or ten) = (32 + 40) / 1000[/tex]

[tex]P(taking bus number seven or ten) = 72/1000[/tex]

[tex]P(using bus number 7 or ten) = 0.072[/tex]

Therefore, the probability that the student either rides on bus 7 or rides on bus 10 is 0.072 or 7.2%.

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The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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The product -2jk is negative if and only if either j or k is negative (but not both). Therefore, the possible conditions for j and k are:

j < 0 and k > 0

j > 0 and k < 0

For the expression -2jk to be negative, at least one of the factors j or k must be negative, since the product of two positive numbers is always positive, and the product of two negative numbers is positive as well. Therefore, the possible conditions for j and k are:

j is negative and k is positive.

j is positive and k is negative.

In other words, if j and k have opposite signs, their product will be negative. However, if both j and k are positive or both are negative, their product will be positive. It's important to note that there are infinite possibilities for j and k that satisfy these conditions, since j and k can take on any real value as long as one is negative and one is positive.

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The coordinates for the center of the circle are (1/2, 1), and the length of the radius is 2 units. Option C is a correct choice.

To find the coordinates of the center of the circle and the length of the radius, we need to rewrite the equation of the circle in standard form, which is (x - h)² + (y - k)² = r². Here, (h, k) represents the coordinates of the center of the circle, and r represents the radius.

Given equation: x² + y² - x - 2y - 1 = 0

To convert it into standard form, we complete the square for the x and y terms separately.

Rearranging the equation:

x² - x + y² - 2y = 1

Completing the square for x:

(x² - x + 1/4) + (y² - 2y) = 1 + 1/4

Completing the square for y:

(x² - x + 1/4) + (y² - 2y + 1) = 1 + 1/4 + 1

Simplifying:

(x - 1/2)² + (y - 1)² = 9/4

Comparing it with the standard form, we can see that:

Center coordinates: (1/2, 1)

Radius: √(9/4) = 3/2 = 1.5 units

Therefore, the correct answer is C. The coordinates for the center of the circle are (1/2, 1), and the length of the radius is 2 units.
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Question -

A circle is defined by the equation given below. x² + y² - x - 2y - 1 = 0 What are the coordinates for the center of the circle and the length of the radius?

A. (-1,-1), 2 units −1),

B. (- 1/2 ,1), 4 units

C. (1/2 , 1), 2 units

D. (-1/2 ,-1), 4 units

The surface area of the given cylinder is approximately 1758.4 square yards.

To find the surface area of a cylinder, we need to calculate the sum of the areas of its curved surface (lateral surface area) and its two circular bases.

Given:

Height (h) = 18 yards

Radius (r) = 10 yards

π (pi) ≈ 3.14

Lateral Surface Area:

The lateral surface area of a cylinder can be calculated using the formula 2πrh, where r is the radius and h is the height.

Lateral Surface Area = 2πrh

Substituting the given values, we have:

Lateral Surface Area = 2 × 3.14 × 10 × 18

Lateral Surface Area = 1130.4 square yards (rounded to the nearest hundredth)

Circular Bases:

The area of a circle can be calculated using the formula πr^2, where r is the radius.

Area of a Circular Base = π[tex]r^2[/tex]

Substituting the given radius, we have:

Area of a Circular Base = 3.14 × [tex]10^2[/tex]

Area of a Circular Base = 314 square yards

To find the total surface area, we need to add the lateral surface area and the areas of the two circular bases.

Total Surface Area = Lateral Surface Area + 2 × Area of a Circular Base

Substituting the values, we get:

Total Surface Area = 1130.4 + 2 × 314

Total Surface Area = 1758.4 square yards (rounded to the nearest hundredth)

Therefore, the surface area of the given cylinder is approximately 1758.4 square yards.

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Question

'What is the surface area of this cylinder? What is the surface area of this cylinder? Use I ~ 3.14 and round your answer to the nearest hundredth_ 18 yd 10 yd square yards'

1. In the short run, the firms in the competitive industry will earn positive profits because the market price is higher than the minimum of the average cost curve. The Option A.

2. If the market price is P4, the individual firm in a competitive industry will earn zero profit. The Option B

3. Firm would be encouraged to enter this market for all price that exceeds P4. The Option D,

When the market price is between P4 and P6, firms in a competitive industry are able to earn positive profits in the short run because the price is above their average variable cost (AVC) but below their average total cost (ATC).

This means that firms are covering their variable costs and also making a contribution towards their fixed costs. As a result, they are earning positive profits. But, in the long run the firms will enter the industry and increase supply causing market price to decrease towards P4 where firms earn zero economic profits in the long run.

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The additional interest on the loan by the rates is $2150241.13

From the question, we have the following parameters that can be used in our computation:

Principal, P = $271,000

Time = 40 years

Rates = 7% and 5%

The interest is calculated as

I = P(1 + r)ˣ - P

So, we have

Calculate the difference in the interests

Difference = 3787078.07443 - 1636836.94099

So, we have

Difference = 2150241.13344

Approximate

Difference = 2150241.13

Hence, the additional interest is $2150241.13

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The required set of ordered pairs that represent a function is {(−5, −4), (−3, −2), (−1, 0), (0, −1), (0, 3)}. Option A is correct.

Given functions,
A=  {(−5, −4), (−3, −2), (−1, 0), (0, −1), (0, 3)}
B= {(−4, −4), (−4, −3), (−4, −2), (−4, −1), (−4, 0)}
C = {(−3, −4), (−3, 0), (−2, −3), (0, −2), (2, −1)}
D = {(−5, −2), (−3, −2), (−2, −2), (−1, −2), (0, 0)}

The other sets have repeated x-values with different y-values, which violates the definition of a function where each x-value can only have one corresponding y-value.

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Answer: The awnser is D

Step-by-step explanation: Hope this helps

From the given circles HJ is common external tangent.

From the given circles A and B,

1) EF is diameter.

2) EGf is semicircle.

3) G is point of tangency

4) HJ is common external tangent

5) CDK is semicircle

6) BF is radius

7) A is center.

8) KF is common external tangent

9) CD is segment

10) GK is chord

11) CK is minor arc

Therefore, from the given circles HJ is common external tangent.

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Activity: "Percentage Analysis in Real-Life Situations"

Objective: The objective of this activity is to help learners recognize the practical application of percentages in various social situations. It aims to develop their critical awareness of how percentages are used in real-life contexts and their significance in social, environmental, cultural, and economic relations.

Procedure:

1. Provide learners with a set of real-life scenarios, such as a discount sale, population growth, or budget allocations.

2. Ask them to identify the relevant information and calculate percentages based on the given data.

3. In small groups, learners discuss and analyze the implications of these percentages in the given social situations.

4. Encourage learners to think critically about how percentages impact decision-making, resource allocation, and understanding social phenomena.

5. Have groups present their findings and engage in a class discussion about the significance of percentages in these scenarios.

Teaching and Learning Approach:

This activity promotes an active learning approach by engaging learners in real-life problem-solving. It helps them recognize the practical relevance of percentages and fosters critical thinking skills.

By connecting mathematical concepts to social situations, learners develop a deeper understanding of how percentages are utilized in various aspects of their lives.

The teacher's role is to facilitate discussions, provide guidance, and encourage learners to articulate their understanding of the connections between mathematics and real-world contexts.

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3) Sin B = 5/9.43, Cos B = 8/9.43, Tan B = 5/9.43

4) Angle A is 40 degrees

5) x is  23.8 mm

A specific type of triangle known as a right triangle has a single angle that is exactly 90 degrees, or a right angle. The sides that make up the right angle are the legs and the hypotenuse.

The Pythagorean theorem connects the side lengths of a right triangle by stating that the square of the hypotenuse's length is equal to the sum of the squares of the legs' lengths.

Cos A = 47/61

A = Cos-1(47/61)

= 40 degrees

5) The marked side can be obtained from;

Cos 28 = 21/x

x = 21/Cos 28

x = 23.8 mm

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The probability of randomly selecting an apartment unit that has both internet and cable connection on the second floor = 0.23

Given that,

For second floor:

Total outcomes = 40

Network preference of internet & cable both = 9

Then Favorable outcomes = 9

Since we know that,

Probability is the ratio of number of favorable outcomes and total number of outcomes. It deals with finding out the likelihood of the occurrence of an event.

Therefore, to find the probability that,

P(Randomly selecting an apartment unit having internet and cable both )

= 9/40

= 0.225

≈ 0.23

Thus, the required probability = 0.23

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The measure of m∠BCA is equal to: C. 70°

In Mathematics and Geometry, a circle is a closed, two-dimensional curved geometric shape with no edges or corners.

Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis), and a full circle always has a measure of 360 degrees.

In this context, the sum of an angle around any point is equal to 360 degrees;

m∠(BOA) = 360 - 250

m∠(BOA) = 110°

Also, the sum of all the interior angles inscribed in this circle, CAOB = 360 degrees;

m∠BCA = 360 - (110 + 90 + 90)

m∠BCA = 70°

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Jodi will need 10 half-cup measurements of flour to make 2 batches of cookies.

To double the recipe, Jodi needs to multiply the amounts of each ingredient by 2.

The original recipe calls for 2½ cups of flour. Doubling this amount gives:

2½ cups * 2 = 5 cups of flour

We may divide the total amount of flour required (5 cups) by the quantity in each 12-cup measurement to get the number of 1-1/2 cups Jodi needs.

5 cups / ½ cup = 10

Therefore, Jodi will need 10 half-cup measurements of flour to make 2 batches of cookies.

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The function is decreasing for the interval of (5, 9). The function is constant for the interval (9, 12). The function is positive for the interval of (-2, 8). The function is increasing for the interval (3, 5). The function is negative for the interval (8, 12.5).

For any given function, y = f(x), if the output value is decreasing when the input value is increased, then, the function is generally referred to as a decreasing function.

For any given function, y = f(x), if the output value is increasing when the input value is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph shown above, we can reasonably infer and logically deduce the following key features;

In conclusion, a function is positive when the output value is greater than zero [f(x) > 0] while it is negative when the output value is less than zero [f(x) < 0].

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We can simplify the square roots:

√2 = √(2 × 1) = √2 × √1

√18 = √(9 × 2) = √9 × √2 = 3√2

√50 = √(25 × 2) = √25 × √2 = 5√2

Now we can find the mean:

(mean) = (sum of numbers) / (number of numbers)

(mean) = (√2 + 3√2 + 5√2) / 3

(mean) = (9√2) / 3

(mean) = 3√2

Therefore, the mean of the numbers √2, √18, and √50 is 3√2.

Answer: It takes riders 4 seconds to drop 60 feet on the drop tower at Carowinds.

Step-by-step explanation:To answer the question, we need to solve for t in the given function.

h = -16t^2 + 64t + 60

We know that the height dropped is 60 feet. So, we can substitute h with 60 and solve for t.

60 = -16t^2 + 64t + 60

Simplifying the equation, we get:

16t^2 - 64t = 0

Dividing both sides by 16t, we get:

t - 4 = 0

Answer:

The answer is down below

Step-by-step explanation:

G={2,3,4}

W={1,5}

Total cards=1,2,3,4,5

let P(x) be G

Probability of X=G/Total

P(x)=3/5

P(not x)=2/5

X={2,3,4}

not X={1,5}

The exponential equation of log(x+4) (x²+3x-7) =3 is x²+3x-7 = (x+4)³

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form a^x=b^y.

To solve exponential equations with same base, use the property of equality of exponential functions .

The law of logarithm states;

If loga b = x

b = a^x

Using the rule;

log(x+4) (x²+3x-7) = 3

x²+3x-7 = (x+4)³

therefore the exponential equation of log(x+4) (x²+3x-7) = 3 is x²+3x-7 = (x+4)³

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1. Point D is located in quadrant 2.

2. The coordinates of point A are (2, 3).

3. The coordinates of point C are both negative. It is located in quadrant

1. Point D is located in quadrant 2, which is the quadrant where the x-coordinates are negative and the y-coordinates are positive. This means that the x-coordinate of point D, which is -6, is negative and the y-coordinate, which is 2, is positive.

2. The coordinates of point A are (2, 3). This means that the x-coordinate of point A is 2, and the y-coordinate is 3. Point A is located in the first quadrant, which is the quadrant where both the x-coordinate and y-coordinate are positive.

3. The coordinates of point C are both negative. It is located in quadrant 3, which is the quadrant where the x-coordinates are negative and the y-coordinates are also negative. This means that the x-coordinate of point C, which is -0.5, is negative and the y-coordinate, which is -3, is also negative.

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Answer:

106°

Step-by-step explanation:

Since segment WY is a diameter, m<X = 90°.

m<W + m<X + m<Y = 180°

m<W + 90° + 37° = 180°

m<W = 53°

m(arc)XY = 2 × m<W = 2 × 53° = 106°

Answer:

Answer is -2/21r + (-19)

Step-by-step explanation:

(-1/7r - 9 -2/3r) - (-5/7r + 10)

= -1/7r - 9 - 2/3r + 5/7r - 10  (distributing the negative sign)

= (-1/7r + 5/7r) + (-2/3r) - 9 - 10  (grouping the like terms)

= 4/7r - 2/3r - 19  (combining the like terms)

= (12r - 14r)/21r - 38r/21r  (getting a common denominator)

= -2r/21r - 38r/21r

= (-2r - 38r)/21r

= -40r/21r

= -40/21

Therefore, the simplified expression is B. -2/21r + (-19).

Answer: To plot ratios and rates as ordered pairs on the coordinate plane, you can follow these steps:

Understand the ratio or rate: Make sure you understand the meaning and value of the ratio or rate you are working with. A ratio compares two quantities, while a rate compares two quantities with different units.

Choose a coordinate system: Set up a coordinate system on the plane with an x-axis and a y-axis. Determine the range of values you want to plot on each axis based on the given ratio or rate.

Determine the values for the axes: Assign the x-axis and y-axis values based on the given ratio or rate. For ratios, you can assign the values of the ratio to the x and y axes directly. For rates, you will need to convert the rate into a ratio by choosing a unit for one of the quantities.

Plot the points: Use the values obtained from step 3 as the x and y coordinates for each ordered pair. Plot the points on the coordinate plane.

Connect the points (if applicable): If you have multiple points, you can connect them with a line to show the relationship between the ratios or rates.

Label the axes and title the graph (if applicable): Add labels to the x and y axes to indicate the quantities being compared. You can also add a title to the graph to describe the relationship being represented.

Step-by-step explanation:

Step-by-step explanation:

The sum of the interior angles of a n-gon is equal to  ( n-2)(180) degrees

 for this 6-gon   the sum is   (6-2) * 180 = 720 degrees

    (145 + 165 + 58 + 130 + 125 + x )    degrees = 720 degrees

           x = 97 degrees