The types of problems found on ancient papyri, books, and tablets focuses primarily on problems that relate to daily life. The solution methods for many ancient cultures are generally verbal, with mathematical statements written out in words. Why did most ancient cultures primarily write out their mathematical texts in words?

The x-intercepts from the graph are -3.646 and 1.646 with the parabolic curve facing upwards

Quadratic functions are functions that has a leading coefficient of 2.

According to the question, we are to graph the quadratic function f(x) = x^2 + 2x - 6. The curve will be parabolic in nature and facing upwards since it is a quadratic function.

The x-intercepts from the graph are -3.646 and 1.646 as shown in the attached graph.

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For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.

Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:

k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4

Hence, the proportionality constant for the given data is 4.

Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).

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Answer:

see explanation

Step-by-step explanation:

Given

- 9 < x - 3 < 1 ( add 3 to each interval )

- 6 < x < 4

Thus integer values which satisfy the inequality are

x = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Answer:

25 is A , 26 is B , 27 is C , and 28 is C

Step-by-step explanation:

hope this helped

mark me brainilest :D

Answer:

25 is A , 26 is B , 27 is C , and 28 is C

Step-by-step explanation:

x = (1814.75 - 1168.50)/(58.75)

==============================================

Explanation:

x = number of players

58.75x = cost of all the meals for those x players

58.75x + 1168.50 = adding on the cost of the bus

58.75x + 1168.50 = 1814.75

----------

Let's solve for x.

58.75x + 1168.50 = 1814.75

58.75x = 1814.75 - 1168.50

x = (1814.75 - 1168.50)/(58.75)

x = 11

This means 11 players can go on the trip.

1 player = $58.75 in meals

11 players = 11*58.75 = $646.25 total in meal costs

646.25 +  1168.50 = 1814.75

So this confirms the answer.

The correct equation to determine the number of players (x) the team can bring to the tournament is x = (1814.75 - 1168.5) / 58.75.So, the correct answer is B. x = (1814.75-1168.5)/58.75

The amount raised by the lacrosse team is $1814.75. They spent $1168.50 on the bus rental and budgeted $58.75 per player for meals. Let's break down the expenses:

Total expenses = Bus rental cost + (Number of players * Meal cost per player)

Total expenses = $1168.50 + (x * $58.75)

The equation that represents the total expenses in terms of the number of players (x) is: Total expenses = $1168.50 + $58.75x

Since the team raised $1814.75, we can set up the equation:

Total expenses = Amount raised

$1168.50 + $58.75x = $1814.75

Now, let's solve for x:

$58.75x = $1814.75 - $1168.50

$58.75x = $646.25

Dividing both sides by $58.75:

x = $646.25 / $58.75

x = 11

So, the correct equation to determine the number of players (x) the team can bring to the tournament is: B. x = (1814.75 - 1168.5) / 58.75

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Correct Question is:

Members of a lacrosse team raised $1814.75 to go to a tournament. They

rented a bus for $1168.50 and budgeted $58.75 per player for meals. Whichequation could be used to determine x, the number of players the team can bring to the tournament?

A. 1168.5x = 1814.75 - 58.75

B. x = (1814.75-1168.5)/58.75

C. x= (1168.5-1814.75)/58.75

D. 1814.75 = 58.75(x+1168.5)

Answer:

absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.

Step-by-step explanation:

Answer:

x=94 or -94

Step-by-step explanation:

x=94 or -94

Answer: 5/8m

Step-by-step explanation:

From the question, we are informed that a piece of wire is 7/8m long and broken into two piece. We are further told that one piece is 1/4 m long.

The length of the other piece of wire would be calculated as:

= 7/8 - 1/4

= 7/8 - 2/8

= 5/8m

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

Answer:

She will need 9 baskets.

(The exact answer is 8.84 but you can't have an eighth of a basket)

The corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

Since X and Y are independent, the joint probability distribution is simply the product of their marginal probability distributions:

f(x,y) = f(x) × f(y)

Therefore, we have:

f(0,0) = f(0) ×f(0) = (1/3) × (1/4) = 1/12

f(0,1) = f(0) × f(1) = (1/3) × (3/4) = 1/4

f(1,0) = f(1) × f(0) = (2/3) × (1/4) = 1/6

f(1,1) = f(1) ×f(1) = (2/3) × (3/4) = 1/2

Therefore, the corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

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An nth-degree polynomial function with real coefficients that satisfies the given conditions, where n = 3 and the zeros are -2 and 9 + 21, and the function value f(1) = 204, is f(x) = (x + 2)(x - (9 + 21))(x - 1).

To find the polynomial function that satisfies the given conditions, we start by considering the zeros. Since the zeros are given as -2 and 9 + 21, we can write the factors for the polynomial as (x + 2) and (x - (9 + 21)).

Next, we consider the function value f(1) = 204. This means that when x = 1, the function should evaluate to 204. To satisfy this condition, we include the factor (x - 1) in our polynomial.

Combining these factors, we have the polynomial function f(x) = (x + 2)(x - (9 + 21))(x - 1).

To verify the real zeros and the given function value, we can use a graphing utility. By graphing the function, we can observe the x-intercepts, which represent the zeros, and check if the function evaluates to 204 when x = 1.

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To relate two fields in a one-to-many relationship using a common field. Then the correct option is C.

You require a common field that is present in both tables in order to connect two fields in a one-to-many relationship. Data may be transferred between the two tables thanks to this shared field, which serves as a connection between them.

If you had a Customers table and an Orders table, for instance, you might link the two tables using a common column like CustomerID. Both tables would have the CustomerID column, allowing you to get all orders linked to a certain customer.

Thus, the correct option is C.

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Answer:

C

Step-by-step explanation:

-18x+2y>=-13

2y>= -13+18x

y>= -6.5+9x

Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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Answer:

Step-by-step explanation:

volume=7.3×1760×3×30×1760×3×1/12=73×176×90×440=508780800 ft³

Answer:

508,780,800 ft³ of rain

Step-by-step explanation:

In order to do the computation, we need to express all the given lengths in feet.

recall that 1 mile = 5280 feet

hence,

width = 7.3 miles = 7.3 x 5280 = 38,544 feet

length = 30 miles = 30 x 5280 = 158,400 feet

also recall that 1 inch = 1/12 feet

hence,

depth of rainfall = 1 inch = 1/12 feet

Volume of rain = width of beach x length of beach x depth of rainfall

= 38,544 x 158,400 x (1/12)

= 508,780,800 ft³ of rain

Answer:

wait wut!!!?????????

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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Answer:

Option (4)

Step-by-step explanation:

Domain of a relation or function is the set of input values (x-values) and Range is the set of output values (y-values).

Therefore, from the given table in the attachment,

Domain → {10, 15, 19, 32}

Range → {-1, 5, 9}

Option (4) will be the correct option.

Answer:

72°

Step-by-step explanation:

Hypotenuse = 15

Adjacent =x

H + A = cah or cos

Cos(53) = x/15

x15

15 x Cos(53) = x

x = 9.0272...

Ans: A) 9.0m

Hope this helps!

Answer:

○ a) \(\displaystyle 9\:m.\)

Step-by-step explanation:

\(\displaystyle \frac{15}{x} = sec\:53 \hookrightarrow xsec\:53 = 15 \hookrightarrow \frac{15}{sec\:53} = x \hookrightarrow 9,0272253473... = x \\ \\ 9 ≈ x\)

OR

\(\displaystyle \frac{x}{15} = cos\:53 \hookrightarrow 15cos\:53 = x \hookrightarrow 9,0272253473... = x \\ \\ 9 ≈ x\)

Information on trigonometric ratios

\(\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ\)

I am joyous to assist you at any time.

The length of each side of the hexagon park, to the nearest tenth, is approximately 13.

A new park in the shape of a hexagon with equal sides is shown in a scale drawing. To determine the length of each side, we must calculate the distance between two consecutive vertices of the hexagon using the coordinates provided.Using the distance formula: $d = \sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$We obtain:Side AB:$d = \sqrt{{(38.5-26.5)}^2+{(7-12)}^2} \\= \sqrt{144+25}\\= \sqrt{169} \\= 13$Side BC:$d = \sqrt{{(26.5-38.5)}^2+{(2-7)}^2} \\= \sqrt{144+25}\\= \sqrt{169} \\= 13$Side CD:$d = \sqrt{{(13.5-26.5)}^2+{(2-2)}^2} \\= \sqrt{169}\\= 13$Side DE:$d = \sqrt{{(1.5-13.5)}^2+{(7-12)}^2} \\= \sqrt{144+25}\\= \sqrt{169} \\= 13$Side EF:$d = \sqrt{{(13.5-1.5)}^2+{(12-7)}^2} \\= \sqrt{144+25}\\= \sqrt{169} \\= 13$Side FA:$d = \sqrt{{(26.5-13.5)}^2+{(12-2)}^2} \\= \sqrt{169+100}\\= \sqrt{269} \\ \approx 16.4$Therefore, the length of each side of the hexagon park, to the nearest tenth, is approximately 13.

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Answer:

6cm

The dimensions are 6cm x 6cm x 6cm

Step-by-step explanation:

Surface area of a cube = 6a²

where a = edge

but because this cube isn't covered, the sides would by 5 and not 6

5a² = 180cm²

divide both sides by 5

a² = 36cm²

Find the square root of each side

a = 6cm

The dimensions are 6cm x 6cm x 6cm

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The correct choice to the question "Which of these statements is true about adding a number to the list?" is D: 11 would be added after 7.

A sequence is a list of items that follows a particular order

The given sequence of numbers is:

-9, -3, 7

This sequence is in increasing order from the least to the greatest

Note that:

-6  >  -9.

-6 should be added after -9 and not before it because the sequence is in ascending order. Therefore, option A is wrong

-2 >  -9.

-2 should be added after -9 and not before it because the sequence is in ascending order. Therefore, option B is wrong

5 < 7

5 should be added before 7 and not after it because the sequence is in ascending order. Therefore, option C is wrong

11 > 7

11 would be added to the sequence after 7 because the sequence is in ascending order. Option D is the correct choice

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Answer:

There would be 20 gallons in her pool

Step-by-step explanation: