HELP PLEASE I WILL GIVE POINTS PLEASE HELP PLS PLS

The value of k that makes the remainder of the polynomial equal to -6 when divided by x + 1 is k = 5.

To find the value of k that makes the remainder of the polynomial P(x) = kx3 - 4x2 + x + 4 equal to -6 when divided by x + 1, we can use the Remainder Theorem. The Remainder Theorem states that if a polynomial P(x) is divided by x - a, the remainder is P(a).

In this case, we are dividing by x + 1, so we can rewrite this as x - (-1). Therefore, a = -1 and we can plug this value into the polynomial to find the remainder:

P(-1) = k(-1)3 - 4(-1)2 + (-1) + 4

Simplifying this equation gives us:

P(-1) = -k - 4 - 1 + 4

P(-1) = -k - 1

Since we want the remainder to be -6, we can set P(-1) equal to -6 and solve for k:

-k - 1 = -6

-k = -5

k = 5

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The measure of the two angles is x = 69 degrees and y = 70 degrees.

In every triangle, the total of the angles is 180 degrees. The Triangle Sum Theorem.

For triangle ABC it is given as follows:

Angle A + Angle B + Angle C = 180.

Let us suppose the measure of two angles as x and y.

According to the ratio we can write as follows:

x = 6k and y = 7k

The sum of the angles in a triangle is 180°, so we can write:

50° + 6k + 7k = 180°

13k + 50° = 180°

13k = 130°

k = 10°

Substituting the value of k in x and y we have:

x = 6k = 6(10°) = 60°

y = 7k = 7(10°) = 70°

Hence, the measure of the two angles is x = 69 degrees and y = 70 degrees.

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The equivalent percent of 1/5 is 20%.  

To find this answer, we can convert the fraction to a decimal and then multiply by 100 to find the percent. Here are the steps:

1. Convert the fraction to a decimal: 1/5 = 0.2
2. Multiply the decimal by 100 to find the percent: 0.2 * 100 = 20%

Therefore, 1/5 is equivalent to 20%.

In terms of the shaded grid, if we were to shade 1 out of 5 squares, we would be shading 20% of the grid.

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g(x) = -f(x) - 4

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

Explanation:

The point (0,1) is on the the red f(x) curve. It's the y-intercept.

If we reflected that point over the x axis, then it moves to (0,-1). Shift it down 4 units to get to (0,-5)

The point (0,-5) is on the purple g(x) curve.

This process of...

is applied to every point on the red curve to arrive at a corresponding point on the purple curve. The order of the transformations matters. We can't shift down first before reflecting (or else g(x) will be in a different spot).

We stick a negative sign in front of the f(x) to reflect over the x axis. This is to change the sign of the y coordinate from positive to negative. Our answer choices are narrowed to either B or C.

The answer is choice B since that -4 at the end means "shift each point 4 units down". We're subtracting 4 from each y coordinate.

GeoGebra and Desmos are two useful tools to help verify the answer.

Accοrding tο the given infοrmatiοn, nοne οf the expressiοns a), b), c), οr d) are equivalent tο (2-³.24) 2.

An algebraic expressiοn is a mathematical phrase that can cοntain numbers, variables, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn. Algebraic expressiοns are used tο represent quantities οr values that can vary, depending οn the values assigned tο the variables in the expressiοn. Algebraic expressiοns can be simple οr cοmplex, and they can have οne οr mοre variables.

We can simplify the expressiοn (2-³.24) 2 as fοllοws:

(2-³.24) 2 = (2-0.24) 2 = (1.76) 2 = 3.52

The expressiοn (2-³.24) 2 is equivalent tο 3.52.

Therefοre, nοne οf the expressiοns a), b), c), οr d) are equivalent tο (2-³.24) 2.

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The expression can be explained as the trigonometric function of an angle as follows sin(15).

The given expression can be simplified using the trigonometric identity for the sine of the difference of two angles:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Substituting the given values for a and b, we get:

sin(9 - (-6)) = sin(9)cos(-6) - cos(9)sin(-6)

Simplifying further, we get:

sin(15) = sin(9)cos(6) - cos(9)sin(-6)

Therefore, the given expression can be expressed as a trigonometric function of one angle as follows:

sin(15) = sin(9)cos(6) - cos(9)sin(-6)

-sin(15) = cos(9)sin(-6) - sin(9)cos(6)

So the final answer is -sin(15).

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The rate at which the water was drained from the tank is 6 gallons of water per minute.

Given:

Draining Time (minutes)      10         30

Water in Tank (gallons)     450        330

According to the question,

Now, we calculating the rate at which water was drained at a constant rate.

Rate of water drained = [tex]\frac{Rate of change of water in Tank}{Rate of change Draining Time }[/tex]

Rate of water drained = [tex]\frac{450 - 330}{30 - 10} = \frac{120}{20} = 6[/tex]

The gallon is an important unit of measurement that continues to be used widely today. Specifically, it refers to the amount of space occupied by one US liquid gallon of water, which is equivalent to approximately 3.785 liters. The gallon is commonly used to measure liquids such as gasoline, milk, and water.

The term "gallon" has a long history, dating back to medieval England, where it was used to measure wine and beer. Over time, different countries and regions developed their own variations of the gallon, with the US liquid gallon being slightly larger than the UK imperial gallon. In addition to its use in everyday life, gallons are also used in various industries, including agriculture, manufacturing, and transportation.

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Complete Question:

A tank of water was drained at a constant rate. The table shows the number of gallons of water left in the tank after being drained for two amounts of time. Draining Time (minutes) Water in Tank (gallons) 10 450 30 330

A square is a base of a square​ pyramid.

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called a vertex) is called a square pyramid. It is called a pentahedron, due to its five faces.

A square base and four triangles joined at the vertex make up a square pyramid. It has a square base and triangular side faces with a central vertex.

A square pyramid has three components.

Properties of a Square Pyramid:

Let's go through the attributes we looked at in the graphic above. The definition of a pyramid is the source of all these characteristics.

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Complete question:

what is a base of a square​ pyramid?

The distance across the river is approximately 597 feet.

The Law of Cosines is a formula that connects a non-right triangle's sides and angles. When the lengths of two sides and the angle between them, or the lengths of all three sides, are known, it is used to determine the length of a side or measure of an angle.

For the given figure:

Using trigonometry, we can find the length of PR as follows:

tan(43) = QR/PS

PS = QR/tan(43)

tan(68) = QR/RU

RU = QR/tan(68)

Since PS + RU = PR,

PR = QR/tan(43) + QR/tan(68)

Since triangle PQR is a right triangle, we can use the Pythagorean theorem:

QR² = PS² + RU²

Substituting the expressions for PS and RU gives:

QR² = (QR/tan(43))² + (QR/tan(68))²

QR ≈ 325.4 feet

Now we can substitute this value into the expression for PR to get:

PR ≈ 596.7 feet (rounded to the nearest foot)

Therefore, the distance across the river is approximately 597 feet.

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The complete question is:

The hypotenuse of the right triangle is 25.5 inches.

A right triangle is a triangle that has one angle as 90 degrees. The sum of angles in a triangle is 180 degrees.

The right right triangle has the legs as 19 inches and 17 inches. Let's find the hypotenuse.

Using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

c² = 19² + 17²

c² = 361 + 289

c = √650

c = 25.495097568

c = 25.5 inches

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Answer: 89 miles

Step-by-step explanation:

Well, if the construction crew added one mile every day for 38 days, then the formula would look like this.

L = 51 + (38)

51 + 38 = 89

L = 89 miles

The inverse function of f(x) = - Vx+1+6 is f^-1(x) = - Vx-7. The domain of f^-1(x) is [-1, ∞), or in interval notation, [-1, ∞).

The inverse function of f(x) = -√x+1 + 6 can be found by following the steps below:

1. Swap the x and y values, so y = -√x+1 + 6 becomes x = -√y+1 + 6
2. Solve for y by isolating it on one side of the equation:
x - 6 = -√y+1
(x - 6)² = y+1
y = (x - 6)² - 1
3. The inverse function is therefore f^-1(x) = (x - 6)² - 1

The domain of f^-1(x) can be found by considering the restrictions on the original function. Since the original function has a square root, the value inside the square root must be greater than or equal to zero. This means that:

x+1 ≥ 0
x ≥ -1

So, the inverse function of f(x) = -√x+1 + 6 is f^-1(x) = (x - 6)² - 1, and the domain of f^-1(x) is [-1, ∞).

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Answer:

$0.45

Step-by-step explanation:

Answer:

2:35

Step-by-step explanation:

The equation which represents exponential growth is y = (1.2)* and equation which represents exponential decay is y = (.71)*,  y = 0(6.3)* represents a constant function.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

c. y = (1.2)*

d. y = 0(6.3)*

e. y = (.71)*

a.) The equation and graph that show exponential growth is y = (1.2)x. This is because the base of the exponent (1.2) is greater than 1, so as x increases, the value of y increases at an increasing rate. The graph of y = (1.2)x is an upward-curving curve that gets steeper as x increases.

b.) The equation and graph that show exponential decay is y = (0.71)x. This is because the base of the exponent (0.71) is between 0 and 1, so as x increases, the value of y decreases at a decreasing rate. The graph of y = (0.71)x is a downward-curving curve that flattens out as x increases.

Therefore, exponential growth shows y = (1.2)* whereas y = (.71)* show exponential decay.

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Answer:

The height of the kite from the ground nearest to the tenth will be 443.6 feet.

Step-by-step explanation:

Answer:
(i) Rs. 3,300, Rs. 4,125, Rs. 1,650, and Rs. 2,475

(ii) 4,950

Step-by-step explanation:

i) To find Mr. Jha's monthly expenditure on each item, we can use the given percentages to calculate the amount he spends on each category:

Food expenditure = 20% of Rs. 16,500 = 0.20 x 16,500 = Rs. 3,300

House expenditure = 25% of Rs. 16,500 = 0.25 x 16,500 = Rs. 4,125

Fuel expenditure = 10% of Rs. 16,500 = 0.10 x 16,500 = Rs. 1,650

Miscellaneous expenditure = 15% of Rs. 16,500 = 0.15 x 16,500 = Rs. 2,475

Therefore, Mr. Jha's monthly expenditure on food, house, fuel, and miscellaneous items is Rs. 3,300, Rs. 4,125, Rs. 1,650, and Rs. 2,475 respectively.

(ii) To calculate how much Mr. Jha saves every month, we can subtract his total expenditure from his monthly income:

Total expenditure = Rs. 3,300 + Rs. 4,125 + Rs. 1,650 + Rs. 2,475 = Rs. 11,550

Savings = Monthly income - Total expenditure = Rs. 16,500 - Rs. 11,550 = Rs. 4,950

Therefore, Mr. Jha saves Rs. 4,950 every month.

Answer: (i) Rs. 3,300, Rs. 4,125, Rs. 1,650, and Rs. 2,475 (ii) 4,950Step-by-step explanation:i) To find Mr. Jha's monthly expenditure on each item, we can use the given percentages to calculate the amount he spends on each category:Food expenditure = 20% of Rs. 16,500 = 0.20 x 16,500 = Rs. 3,300House expenditure = 25% of Rs. 16,500 = 0.25 x 16,500 = Rs. 4,125Fuel expenditure = 10% of Rs. 16,500 = 0.10 x 16,500 = Rs. 1,650 Miscellaneous expenditure = 15% of Rs. 16,500 = 0.15 x 16,500 = Rs. 2,475Therefore, Mr. Jha's monthly expenditure on food, house, fuel, and miscellaneous items is Rs. 3,300, Rs. 4,125, Rs. 1,650, and Rs. 2,475 respectively.(ii) To calculate how much Mr. Jha saves every month, we can subtract his total expenditure from his monthly income:Total expenditure = Rs. 3,300 + Rs. 4,125 + Rs. 1,650 + Rs. 2,475 = Rs. 11,550Savings = Monthly income - Total expenditure = Rs. 16,500 - Rs. 11,550 = Rs. 4,950 so Mr. Jha saves Rs. 4,950 every month. your welcome.

The fourth point has coordinates (-17, 0).

The x-coordinate of A remains constant but the sign of the y-coordinate changes if A is mirrored over the x-axis to form A'. Hence, if Has a coordinates (a, b), A' must also have coordinates (a, -b).

Given that A and A' are the corners of a rectangle that are opposite one another, the other two corners of the rectangle must be on a horizontal line that passes through A and A"s midpoint (a, 0). Since (a, 0) and the fourth point (let's call it C) are separated by 2|b|, the distance between A and A' is also 2|b|. This indicates that depending on which side of the line AA' C is on, it has coordinates of (a + 2|b|, 0) or (a - 2|b|, 0).

In this instance, the coordinates of A are (3, 5) and those of A' are (3, -5). The intersection of A and A' is (3, 0). A and A' are separated by 2|5|, which equals 10.

The fourth point, C, thus, has coordinates of either (3 + 2(10), 0) = (23, 0) or (3 - 2(10), 0) = (-17, 0).

The right response is (3 - 2(10), 0), which can be deduced from the graph since the rectangle is symmetric about the y-axis (-17, 0).

The fourth point therefore has coordinates (-17, 0).

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Answer:

33361

Step-by-step explanation:

The equation appears to be
75 ( 1 + 0.84 )^x

Since it increases by 84% every 2 days, you'd devide 20 by 2, making 10

So to do the equation you'd shove that into a calculator since no one wants to hand do that sort of equation.

75 ( 1 + 0.84 )^10 = 33361.0332844 = 33361

As per the unitary method, the bakery sold 2294 coffee buns.

Let us assume that the number of blueberry buns sold by the bakery is x. According to the problem, the number of coffee buns sold is 1560 more than the number of blueberry buns sold. Therefore, the number of coffee buns sold can be expressed as (x + 1560).

Now, we are given that the total number of buns sold (both coffee and blueberry) is 3028. Therefore, we can set up an equation based on the given information:

x + (x + 1560) = 3028

Simplifying this equation, we get:

2x + 1560 = 3028

2x = 1468

x = 734

Therefore, the number of blueberry buns sold by the bakery is 734. Now, we can use the unitary method to find the number of coffee buns sold. We know that the number of coffee buns sold is 1560 more than the number of blueberry buns sold, which is:

x + 1560 = 734 + 1560 = 2294

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The measure that is considered an outlier is the data-set is a measure of 29.5.

The interquartile range is calculated as the difference between the third quartile and the first quartile.

The values that are outliers are given as follows:

The quartiles for this problem are given as follows:

Q1 = 17, Q3 = 22.

Hence the IQR is of:

IQR = 22 - 17

IQR = 5.

Meaning that the outliers are given as follows:

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The correct option for this question is B. There has been a rise in three-point shots, and players tend to score more points now.

Why it is?

The factor that makes it challenging to make a fair comparison between a current NBA star and an NBA star from the 1990s is:

B. There has been a rise in three-point shots, and players tend to score more points now.

The increase in three-point shots has significantly changed the way the game is played and the strategies used by teams, which makes it difficult to compare the performance of players from different eras.

Players in the current NBA tend to score more points because of the increased emphasis on the three-point shot, while players from the 1990s may have had different strengths and styles of play that were more effective in that era. Therefore, it is challenging to make a fair comparison between players from different eras based solely on their statistics.

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The paper is 147/8 square inches in size. If preferred, this can be condensed to a mixed number or decimal.

A three-dimensional object's surface area is the sum of its sides. It is a measurement of the object's visible surface area. Depending on the shape of the item, different surface area formulas apply. For instance, adding the surface areas of all six sides of a rectangular prism will yield its surface area. The calculation for a rectangular prism's surface area is: Flat area equals 2lw + 2lh + 2wh where the rectangular prism's dimensions are l for length, w for breadth, and h for height.

given

The length and breadth of the postcard must be multiplied to determine its area.

The mixed integers must first be transformed into improper fractions:

5 1/4 = 21/4

3 1/2 = 7/2

We can now multiply:

Area is equal to length times breadth.

Area = (21/4) × (7/2)

Area = (21 × 7) / (4 x 2)

Area = 147/8

The paper is 147/8 square inches in size. If preferred, this can be condensed to a mixed number or decimal.

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Answer:

y=-x-2

Step-by-step explanation:

All of them are solved, but I will help to find the relationship.

I found the pattern in my head as I thought about absolute value and proportionality.

Feel free to ask more questions.

m - (8 - 3m)

m - 8 + 3m

m + 3m - 8

4m - 8

Answer:

Step-by-step explanation:

m-(8-3m)

m-8 + 3m

=m+3m-8

=4m-8

Answer:

Step-by-step explanation:

4.  16 players enter the tournament.  f(0) = 16(1/2)° = 16

This is the value of y when x=0

5.  After 4 rounds, 1 player is left.  f(4) = 16(1/2)⁴ = 1

6.  Rate of change = Δy/Δx = (4-8) / (2-1) = -4

f(1) = 16(1/2)¹ = 8

f(2) = 16(1/2)² = 4

The average rate of change between rounds 1 and 2 is 4, meaning 4 players are eliminated.

The value of x is if the 8th term of the expansion of given equation is equal to 25952256 = 2. The correct answer is option a.

In order to find the value of x, we first need to find the 8th term of the expansion of [tex](x^3 + 1)^12.[/tex] Using the binomial theorem, the general term in the expansion is given by: [tex]T(k) = C(n, k-1) * (x^3)^(n-k+1) * 1^(k-1).[/tex]where T(k) is the kth term, n is the power (in this case, 12), C(n, k-1) represents the binomial coefficient [tex](n! / [(k-1)! * (n-k+1)!]),[/tex] and x^3 is the term in the expansion.

Now, we plug in the values to find the 8th term: [tex]T(8) = C(12, 7) * (x^3)^(12-7+1) * 1^7, T(8) = 792 * (x^3)^6.[/tex] We are given that the 8th term of the expansion is equal to 25952256. So, 25952256 = 792 * (x^3)^6

Now, we need to solve for [tex]x: (25952256 / 792) = (x^3)^6, 32768 = (x^3)^6[/tex]
Taking the 6th root of both sides, we get:
[tex]x^3 = 2[/tex]
Now, taking the cube root of both sides, we find the value of x:
x = 2 (option a). The correct answer is option a.

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The angle of elevation made by the snake is 53.5 degrees.

The height of a pole is 27 feet. A snake is curled up at a distance of 20 ft from the foot of the pole.

The snake looks at the top most point of the pole. The angle of elevation made by the snake and the top of the pole is as follows:

Therefore, the situation forms a right angle triangle.

Let's find the angle of elevation.

tan ∅ = opposite / adjacent

where

Therefore,

tan ∅ = 27 / 20

∅ = tan⁻¹ 1.35

∅ = 53.471144633

∅ = 53.5 degrees

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Emily can buy 9 paperback books and 1 hardcover book without spending more than $45.

Let's start by defining our variables

Let x be the number of paperback books

Let y be the number of hardcover books

We know that a paperback book costs $4.50 and a hardcover book costs $10. If Emily buys x paperback books and y hardcover books, then the total cost of her purchase can be calculated using the following equation:

Total cost = 4.50x + 10y

We also know that Emily cannot spend more than $45. So we can set up the following inequality

4.50x + 10y ≤ 45

Now we can use this inequality to find the maximum number of paperback and hardcover books that Emily can buy.

First, let's rearrange the inequality to solve for y:

10y ≤ 45 - 4.50x

y ≤ (45 - 4.50x) / 10

y ≤ 4.5 - 0.45x

So, Emily can buy up to 4.5 - 0.45x hardcover books for every x paperback books. Let's make a table to see the possibilities

From the table, we can see that the maximum number of paperback books that Emily can buy is 12, and the maximum number of hardcover books she can buy is 0. However, this is not a feasible option since she would be spending $54, which is over her budget of $45.

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