These are the high temperatures for one week in July,

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

749

75°

80°

76°

75°

81°

78°

What is the mean high temperature for this week?

A. 74°

B. 75°

C. 76°

D. 77°

E 78°

The locus of points in a plane that are 3 inches from point A is a circle centered at point A with radius 3 inches.

The locus of points in a plane that are 3 inches from point A forms a circle centered at point A with a radius of 3 inches. This is because a circle is defined as the set of all points in a plane that are equidistant from a fixed point called the center. In this case, the fixed point or the center is point A, and the distance from any point on the circle to point A is 3 inches.

To see this, consider any point P in the plane that is 3 inches away from point A. The distance from point P to point A is given by the distance formula:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) and (x2, y2) are the coordinates of points A and P, respectively. Since P is 3 inches away from A, we have d = 3. Substituting the coordinates of A and P into the distance formula and simplifying yields:

(x2 - x1)² + (y2 - y1)² = 3²

This equation represents a circle with center (x1, y1) = A and radius 3.

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Reported to the proper number of significant figures, is 551.56 which has five significant figures.

The given expression is:(2115 - 2101) × (5.11 × 7.72)

Now let's evaluate the given expression to solve for the unknown. For that, we have to perform the mathematical operations in the following order according to the proper order of operations or the PEMDAS rule:

Parentheses or Brackets Exponents or Powers Multiplication or Division (from left to right) Addition or Subtraction (from left to right). So, let's solve the given expression by using the above rule.

(2115 - 2101) × (5.11 × 7.72)= 14 × (5.11 × 7.72)= 14 × 39.3972= 551.5608 ≈ 551.56

The answer, reported to the proper number of significant figures, is 551.56 which has five significant figures.

The first significant figure is 5 (it comes before decimal point), and the next four significant figures are 5, 1, 5, and 6 (they come after decimal point). The final answer should have no more than five significant figures because the least precise number given in the expression (2101) has four significant figures.

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Answer:

Brand P has the cheaper price

Step-by-step explanation:

Brand P: $19.00 / 5 bags = $3.80 per bag

Brand Q: $13.17 / 3 bags = $4.39 per bag

Answer:

39

Step-by-step explanation:

15 + 24 =39

since they are like terms so we can add or subtract

Answer:

true

Step-by-step explanation:

Somebody better answer thing

Answer:

7.69%

Step-by-step explanation:

Explanation of the answer is given below:

Car bought for AED 60,000

Accessories for AED 5,000

Total AED 65,000

Car sold for AED 70,000

AED 65,000 - AED 70,000 = AED 5,000

AED 5,000 / 65,000 * 100

= 7.69% Profit

The correct answer is that Salem made a profit of 7.69% on his car.

Answer:

The answer is <ACD = 68°

Step-by-step explanation:

Using the property that the sum of interior angles in a triangle is equal 180°,we have:

<DAC + <ACD + <ADC = 180°

\(2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28\)

Finally, calculating the angle <ACD, we have:

<ACD = 180 - 4x

<ACD = 180 - 4 . 28

<ACD = 180 - 112

ACD = 68°

Answer:

x = 28°

m∠ACD = 68°

Step-by-step explanation:

From inspection of the given diagram:

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent.

⇒ m∠DAC = m∠EAB = 2x

Angles on a straight line sum to 180°:

⇒ m∠ACD + 4x = 180°

⇒ m∠ACD + 4x - 4x = 180° - 4x

⇒ m∠ACD = 180° - 4x

Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ m∠DAC + m∠ACD = m∠FDC

⇒ 2x + (180° - 4x) = 124°

⇒ -2x + 180° = 124°

⇒ -2x + 180° - 180° = 124° - 180°

⇒ -2x = -56°

⇒ -2x ÷ -2 = -56° ÷ -2

⇒ x = 28°

To find m∠ACD, substitute the found value of x into the expression for the angle:

⇒ m∠ACD = 180° - 4x

⇒ m∠ACD = 180° - 4(28°)

⇒ m∠ACD = 180° - 112°

⇒ m∠ACD = 68°

The value of the gift card declined by $37.40.

The total cost of all the items purchased has to be determined.

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

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Answer:

Total cost of pens = $1.57 x 1 = $1.57

Total cost of pencils = $1.98 x 2 = $3.96

Total cost of folders = $0.75 x 6 = $4.50

Total cost of highlighter: $3.45 x 1 = $3.45

Total cost of notebooks: $2.95 x 5 = $14.75

Total cost of binders: $3.55 x 2 = $7.10

Total cost of paper: $0.69 x 3 = $2.07

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

Step-by-step explanation:

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = \( \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 \)

Average change of population with time for town B = \( \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 \)

Average change of population with time for town C = \( \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 \)

Average change of population with time for town D = \( \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 \)

Town C had the greatest average change in population over time (800/yr).

Answer:

its c

Step-by-step explanation:

The force Sophia is exerting on the shopping cart can be resolved into two components: one perpendicular to the direction of motion (the normal force), and one parallel to the direction of motion (the force doing work). The force doing work is given by:

F_parallel = F * sin(theta)

where F is the force Sophia is exerting (125 N) and theta is the angle of depression (52 degrees).

F_parallel = 125 N * sin(52 deg) ≈ 95.6 N

The work done by Sophia is given by:

W = F_parallel * d

where d is the distance Sophia pushes the shopping cart (200 m).

W = 95.6 N * 200 m = 19120 J

Therefore, Sophia does 19120 joules of work pushing the shopping cart 200 meters.

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The percentage change in the price of ticket is 35%

The percentage change in price can be calculated using the expression :

The change in price = Final price - Initial price

The change in price = (6443.55 - 4773) = 1670.55

Therefore, the percentage change in price is 35%

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The probability 7C3 = 35 possible ways to place 7 identical balls into 3 identical boxes.

The number of ways to place 7 identical balls into 3 identical boxes can be calculated by using the combination formula. The formula for combinations is nCr = n! / (r! (n-r)!), where n represents the total number of items and r represents the number of items being chosen. In this case, n = 7 and r = 3, so the formula becomes 7C3 = 7! / (3! (7-3)!). This simplifies to 7C3 = 7! / (3!4!) = 35. Therefore, there are 35 possible ways to place 7 identical balls into 3 identical boxes.

In each case, the balls can be placed into one box, two boxes, or three boxes, depending on how many balls are placed in each box. If one ball is placed in each box, then the remaining four balls can be placed in any of the boxes, giving four possibilities. If two balls are placed in each box, then the remaining one ball can be placed in any of the boxes, giving three possibilities. Finally, if all seven balls are placed in one box, then there is only one possibility. When the combinations of each scenario are added together, the total number of possible ways to place 7 identical balls into 3 identical boxes is 35.

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9514 1404 393

Answer:

  m ≥ -√5

Step-by-step explanation:

If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.

f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.

For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...

  d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor

  d ≤ 0 . . . . . . . . . . the condition for no real zeros

  4m² -20 ≤ 0

  m² -5 ≤ 0 . . . . . . divide by 4

  m² ≤ 5 . . . . . . . . .add 5

  |m| ≤ √5 . . . . . . . take the square root

This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0

There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.

_____

Additional comment

The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.

Answer:

Step-by-step explanation:

Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.

sinx< cos x

Dividing both sides by cos x

sin x/cos x < cos x/cos x

tan x < 1

x < \(tan^{-1}1\)

x < 45°

Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.

The angles that make up a kite are 1, 2, 3, 4, 5, 6, and 7. Angle 1 is the interior angle between sides 1 and 2. Angle 2 is the interior angle between sides 2 and 3.

Angle 3 is the interior angle between sides 3 and 4. Angle 4 is the exterior angle between sides 4 and 1. Angle 5 is the interior angle between sides 1 and 3. Angle 6 is the exterior angle between sides 2 and 4. Angle 7 is the interior angle between sides 2 and 4.

An angle is a figure formed by two lines that meet at a common point. The lines are called the arms of the angle, and the common point is called the vertex. Angles are usually measured in degrees, with a full circle being 360°.

A kite is a four-sided geometric shape with two pairs of adjacent equal-length sides. The missing values for each angle in the kite can be calculated using the formula:

Angle 1 + Angle 2 + Angle 3 + Angle 4 + Angle 5 + Angle 6 + Angle 7 = 360 degrees

For example, if angle 1 is 60 degrees, then angle 2 = 120 degrees, angle 3 = 120 degrees, angle 4 = 60 degrees, angle 5 = 120 degrees, angle 6 = 60 degrees, and angle 7 = 60 degrees.

In general, the sum of the interior angles of a kite will equal 360 degrees, and each interior angle will be equal to the sum of the exterior angles. Therefore, if the values of four of the angles are known, the remaining angles can be calculated by subtracting the known angles from 360 degrees.

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The coordinates form a right triangle and the coordinates are within the parallelogram .

What is parallelogram explain?

A right triangle cutout from the parallelogram has the vertices (13,10), (13,14) and (11,10)

The coordinates of the parallelogram are given as -

(5, 17), (10, 20). (18,9), and (13,6)

The question is incomplete, as the options are not given.

So,  use of a general explanation

For the right triangle to be a cutout from the parallelogram, then the vertices of the right triangle must be within the coordinates  (5, 17), (10, 20). (18,9), and (13,6)

An example of such coordinates are = (13,10), (13,14) and (11,10)

Note that you can use any coordinates, as long as the coordinates form a right triangle and the coordinates are within the parallelogram.

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The complete question is -

A parallelogram has coordinates of (5, 17), (10, 20). (18,9), and (13,6). Which right triangle represents one of the cutouts from the box method ?17​

Answer:

It will be C

Step-by-step explanation:

To determine which investment is better, we need to consider the expected value of each investment. The expected value is calculated by multiplying each possible outcome by its respective probability and summing them up.

For Project A:

Expected value of Project A = (-$30,000 * 0.20) + ($0 * 0.60) + ($90,000 * 0.20) = -$6,000 + $0 + $18,000 = $12,000

For Project B:

Expected value of Project B = (-$85,000 * 0.35) + ($0 * 0.50) + ($180,000 * 0.15) = -$29,750 + $0 + $27,000 = -$2,750

Comparing the expected values, we find that the expected value for Project A is $12,000, while the expected value for Project B is -$2,750. Therefore, Project A has a higher expected value and is considered the better investment.

The expected value represents the average outcome that can be expected from each investment. In this case, Project A has an expected value of $12,000, indicating that, on average, it is expected to yield a positive return. Project B, on the other hand, has a negative expected value of -$2,750, indicating that, on average, it is expected to result in a loss. Therefore, based on expected value, Project A is the better investment choice.

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A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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Answer:

Step-by-step explanation:

\(x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)\)

Answer:

Step-by-step explanation:

3 +- \/5 over 2

Answer:

22% because her taxable income will now be 40,000 dollars

Step-by-step explanation:

Answer:

15% Plato

Step-by-step explanation:

Part 1: The four positions in the executive committee can be filled in 3024 ways. Part 2: If it does not matter who gets which position, there are several ways to choose four people for the executive committee.

Part 1:

To determine the number of ways to fill the four positions in the executive committee, we need to consider that each position can be filled by a different member from the nine-member Student Council. We can use the concept of permutations to calculate this.

The first position can be filled by any of the nine members. Once the first position is filled, there are eight remaining members to choose from for the second position. Similarly, there are seven members left for the third position and six members for the fourth position.

Therefore, the total number of ways to fill the four positions is calculated as:

9 * 8 * 7 * 6 = 3024 ways.

Part 2:

If it does not matter who gets which position, we are essentially choosing a group of four members from the nine-member Student Council. In this case, we can use the concept of combinations.

The number of ways to choose four people from a group of nine can be calculated using the combination formula:

C(9, 4) = 9! / (4! * (9-4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126 ways.

Therefore, if it does not matter who gets which position, there are 126 ways to choose four people for the executive committee.

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Answer:

30450.

Step-by-step explanation:

Not sure what you meant by simplify? Hope this helps.

In conclusion, the number 1681 in base 10 is represented by the Roman numeral MDCLXXXI. The Roman numeral DLXXI is equivalent to 561 in base 10. The sum of the first 20 terms of the arithmetic sequence {0,2,4,6,8,…} is 460. Ahmad has a total of $272.22 in cash.

To convert the number 1681 in base 10 to Roman numerals, we can break it down. The largest Roman numeral that divides evenly into 1681 is M, which represents 1000. So we have M + 681. The next largest Roman numeral that divides evenly into 681 is D, which represents 500.

So we have MD + 181. The largest Roman numeral that divides evenly into 181 is CL, which represents 150. So we have MDCL + 31. The largest Roman numeral that divides evenly into 31 is XXX, which represents 30.

So we have MDCLXXX + 1.

Finally, we have I, which represents 1.

Putting it all together, the number 1681 in base 10 is represented by the Roman numeral MDCLXXXI.
To convert the Roman numeral DLXXI to base 10, we break it down. D represents 500, L represents 50, X represents 10, and I represents 1.

So, we have 500 + 50 + 10 + 1 = 561.
To find the sum of the first 20 terms of the arithmetic sequence {0,2,4,6,8,…}, we can use the formula for the sum of an arithmetic sequence:

Sn = (n/2)(a1 + an),

where Sn is the sum, n is the number of terms, a1 is the first term, and an is the last term.

In this case,

n = 20, a1 = 0, and an = 8 + (20-1)2 = 8 + 19(2) = 8 + 38 = 46.

Plugging in these values, we get

Sn = (20/2)(0 + 46) = 10(46) = 460.
To calculate how much cash Ahmad has, we add up the amounts he has at home, in his locker, and in his wallet. We know that he has 31% of his cash at home and 51% in his locker. Let's call the total amount of cash he has x.

So, he has 0.31x at home and 0.51x in his locker.

Adding these amounts to the $49 he has in his wallet, we have 0.31x + 0.51x + $49 = x.

Simplifying this equation, we have 0.82x + $49 = x.

Subtracting 0.82x from both sides, we get

$49 = 0.18x. Dividing both sides by 0.18, we find x = $49/0.18 = $272.22.

So, Ahmad has a total of $272.22 in cash.
In conclusion, the number 1681 in base 10 is represented by the Roman numeral MDCLXXXI. The Roman numeral DLXXI is equivalent to 561 in base 10. The sum of the first 20 terms of the arithmetic sequence {0,2,4,6,8,…} is 460. Ahmad has a total of $272.22 in cash.

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Answer:

6 adults

Step-by-step explanation:

70-4(one child)=66

66/11=6

Answer:

Step-by-step explanation:

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth