Can someone help me plz

Answer:Recursive formulas give us two pieces of information: The first term of the sequence. The pattern rule to get any term from the term that comes before it.

Step-by-step explanation:

The correct answer is "There is sufficient evidence to support the claim that more than 55% of students read this text".

In hypothesis testing, null hypothesis is a statement of no effect or no difference. In this case,  null hypothesis is that percentage of students who read the textbook is equal to or less than 55%. If null hypothesis is rejected it means that there is sufficient evidence to support the alternative hypothesis which in this case is that the percentage of students who read the textbook is greater than 55%.

So, in this case if hypothesis test is performed and the null hypothesis is rejected it can be interpreted that there is sufficient evidence to support the claim that more than 55% of students read this text.

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The equation of the polar graph is r = 2 + 3cosθ

A polar graph is the pictorial representation of a polar curve

Since we have the polar graph shown in the figure, it is a polar graph in a ring, which is mostly below the horizontal axis with a depression. To determine which of the following equations represents the graph, we proceed as follows.

We know that this type of polar graph has the general equation r = a + bcosθ.

So, the only equation which satisfies this condition is r = 2 + 3cosθ.

So, the equation is r = 2 + 3cosθ

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If there are seven family members who are potential kidney donors, the number of possible orders for a best match, a second-best match, and a third-best match can be calculated using the concept of permutations.

Since each match is selected from the remaining available donors after the previous match, the number of possibilities decreases by one for each match.

For the best match, there are 7 possible donors.

For the second-best match, there are 6 remaining donors.

For the third-best match, there are 5 remaining donors.

To calculate the total number of possible orders, we multiply these numbers together:

Total number of possible orders = 7 * 6 * 5 = 210

Therefore, there are 210 possible orders for a best match, a second-best match, and a third-best match from the seven family members who are potential kidney donors.

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Answer:

\((2,1)\)

Step-by-step explanation:

You can just use the formula \(x=-\frac{b}{2a}\):

\(y=ax^2+bx+c\)

\(y=\frac{1}{2}x^2-2x+3\)

\(x=-\frac{-2}{2(\frac{1}{2})}=\frac{2}{1}=2\)

\(y=\frac{1}{2}(2)^2-2(2)+3=\frac{1}{2}(4)-4+3=2-4+3=-2+3=1\)

Therefore, the minimum value of the equation is \((2,1)\)

The values of the variables x and y are 12 and 3 respectively, while the measure of angles m∠A and m∠B are 36° and 126° respectively

1). m∠A and m∠D are complementary angles so their sum is equal to 90°

3x + (4x + 6)° = 90°

7x = 90° - 6°

x = 84/7

x = 12

2). m∠A = 3(12) = 36°

3). m∠B and m∠C are on a straight line and their sum is equal to 180° {also called supplementary angles}.

18y + 42y = 180°

60y = 180°

y = 180°/60°

y = 3

4). m∠C = 42(3) = 126°

In conclusion, the values of the variables x and y are 12 and 3 respectively, while the measure of angles m∠A and m∠B are 36° and 126° respectively

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Answer:

Total chairs = 18×22= 396

so no. of extra chairs need = 468-396 = 72

Now( 72/18) rows = 4 rows

Therefore 4 more rows are needed here

Hope it helps you

Answer: 4

Step-by-step explanation:

The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

602.88cm²

Step-by-step explanation:

Find the image of the cylinder attached

Surface area of a cylinder = A=2πrh+2πr²

r is the radius = 4cm

Height h = 20cm

Substitute

A = 2πr(r+h)

A = 2π(4)(4+20)

A = 8π(24)

A = 192π

A = 192(3.14)

A = 602.88cm²

Hence the surface area of the cylinder is 602.88cm²

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

Step-by-step explanation:

\(--------------------------------------------\)

The order in which we complete an operation is NOT optional. This is because if we do addition or subtraction first, ( which is usually at the end of PEMDAS ) the answer ( even if it looks right ) will always be wrong. Always remember, if you don't do the regular PEMDAS, it will always be wrong.

\(--------------------------------------------\)

Hope this helps! <3

\(--------------------------------------------\)

Answer:

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Step-by-step explanation:

Explanation:-

Given equation of the line 7x + 9y = 14

The given equation in slope-intercept form, y = mx + b

Slope - intercept form   \(y = \frac{-7}{9} x + \frac{14}{9}\)

Comparing  m = - 7/9

Here m = -7/9

        C = 14/9

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Answer:

Folow the steps to learn what transformations were determined.

Step-by-step explanation:

First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.

X    Y

2    4

1     1

0    0

-1     1

-2    4

Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.

Vertical Shifts:

f(x) + c moves up,

f(x) - c moves down.

Horizontal Shifts:

f(x + c) moves left,

f(x - c) moves right.

The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).

Answer:

21.5

Step-by-step explanation:

square is 10x10 = 100

circle is A=πr2=π·5²≈78.54

100-78.54 = 21.46 = 21.5

Answer:

21.5 sq cm

Step-by-step explanation:

Area of Square:

A= LXW= 10x10= 100 sq cm

Area of Circle=

A=πr²

Radius= D/2= 10/2= 5 cm

A=3.14(5²)

A=3.14(25)= 78.5 sq cm

Shaded Region= 100-78.5= 21.5

The area of the shaded region is 21.5 sq cm.

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

The length of the chord is approximately 7.62 inches.

Let's call the center of the circle point O, the radius of the circle 5 inches, the point where the chord intersects the radius point A, and the point where the chord intersects the circle point B.

Since the chord is perpendicular to the radius, we know that angle AOB is a right angle. Also, since OA is 5 inches and AB is 2 inches, we can use the Pythagorean theorem to find the length of OB

OB^2 = OA^2 + AB^2

OB^2 = 5^2 + 2^2

OB^2 = 25 + 4

OB^2 = 29

OB = sqrt(29) ≈ 5.39 inches

Now that we know the length of OB, we can use it to find the length of the chord. Let's call the length of the chord CD, where C and D are the points where the chord intersects the circle. Since OB is perpendicular to CD, we can use the Pythagorean theorem again to find the length of CD

CD^2 = 2OB^2

CD^2 = 2(29)

CD^2 = 58

CD = sqrt(58) ≈ 7.62 inches

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Answer:

5xy^2

Step-by-step explanation:

The sample's initial mass and the remaining mass after 3 days are

\(&{\left[A_0\right]=10 \mathrm{mg}} \\\) ,  \(&{\left[A_t\right]=0.08245 \mathrm{mg}}\)

Given that:

Half life =10.4 hours

\($$t_{1 / 2}=\frac{\ln 2}{k}$$\)

Where, k is rate constant

So,

\(&k=\frac{\ln 2}{t_{1 / 2}} \\\)

\(&k=\frac{\ln 2}{10.4} \text { hour }^{-1}\)

The rate constant, k=0.06664 hour -1

Time =24 hours

Using integrated rate law for first order kinetics as:

\($$\left[A_t\right]=\left[A_0\right] e^{-k t}$$\)

Where,

\($\left[A_t\right]$\)

is the concentration at time\($\mathrm{t}=2 \mathrm{mg}$\)

\($\left[A_0\right]$\)

is the initial concentration =?

So,

\(&2 \mathrm{mg}=\left[A_0\right] \times e^{-0.06664 \times 24} \\\)

\(&{\left[A_0\right]=10 \mathrm{mg}}\)

Now, time =3 days =3 × 24 hours =72 hours ( 1 day =24 hours)

\($$\left[A_0\right]=10 \mathrm{mg}$$\)

Thus,

\($$\left[A_t\right]=10 \times e^{-0.06664 \times 72} \mathrm{mg}=0.08245 \mathrm{mg}$$\)

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A diamond coin? or a really fancy coin?

Answer:

the austraillian $2 coin

Step-by-step explanation:

Answer:

5.2 =x

Step-by-step explanation:

We know the opposite side and the hypotenuse

sin theta = opp/ hypotenuse

sin 48 = x/7

7 sin 48 =x

5.202013778 =x

Rounding to 1 decimal place

5.2 =x

Step-by-step explanation:

4√2 + √2 = 5√2 we add 4 and the invisible 1 in front of √2, the common root stays same

8√3 - 4√3 = 4√3 subtract 4 from 8 the common root stays same

2√3 x √32 ➡ 2√3 x 4√3 too add the expressions we first need to make the roots common then add 4 and 2

Answer:

1. \(5\sqrt{2}\)

2. \(4\sqrt{3}\)

3. \(8\sqrt{6}\)

Step-by-step explanation:

Number 1:

We can treat \(\sqrt{2}\)  as a variable in which we are multiplying 4 by. Let's call \(\sqrt{2}\) x.

This makes our expression \(4x + x\). Combining like terms, we get \(5x\). This means that \(4\sqrt{2} + \sqrt{2} = 5\sqrt{2}\).

Number 2:

Again, we can use the same logic as we did in number 1. Let's treat \(\sqrt{3}\) as a variable y.

\(8y-4y\)

Subtracting a y term from a y term will equal the difference between the coefficients times y. So it's \(4y\). This means that  \(8\sqrt{3}-4\sqrt{3}=4\sqrt{3}\)

Number 3:

When we multiply radicals, we want to put the radicals in \(\sqrt{x}\) form.

\(\sqrt{32}\) is already in this form.

However \(2\sqrt{3}\) is not.

\(2\sqrt{3}\) is the same thing as \(\sqrt{3\cdot2^2} = \sqrt{3\cdot4} = \sqrt{12}\).

Now we multiply these radicals by multiply the term inside the square root sign

\(\sqrt{32}\cdot\sqrt{12}=\sqrt{32\cdot12} =\sqrt{384}\)

384 is divisible by 64, so:

\(\sqrt{384} = \sqrt{64\cdot6} = 8\sqrt{6}\)

Hope this helped!

The height of the water in the glass when the ice melts is 1.1 in. the right option is B. 1.1 inches.

Height is the vertical distance between two points.

To calculate the height of the water in the glass when the ice melts, we use the formula below

Formula:

Make h the subject of the equation.

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is B. 1.1 inches.

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The relatiοnship between the twο graphs is that the graph οf the new line is less steep than the graph οf the οriginal line, and the y-intercept has been translated up. Sο, the cοrrect answer is (d).

The equatiοn οf a linear functiοn can be written in fοrm f(x) = mx + b, where m is the slοpe and b is the y-intercept. The slοpe οf a linear functiοn determines hοw steeply it increases οr decreases, while the y-intercept is the value οf the functiοn when x = 0.

When the slοpe οf a linear functiοn is changed, the graph οf the functiοn becοmes steeper οr less steep depending οn whether the new slοpe is greater than οr less than the οriginal slοpe.

Here we have

Linear functiοn f(x) = x is graphed οn a cοοrdinate plane. The graph οf a new line is fοrmed by changing the slοpe οf the οriginal line tο 5/4 and the y-intercept tο -1.

The οriginal line, equatiοn f(x) = x,

where slοpe = 1 and a y-intercept οf 0.

The new line is fοrmed by changing the slοpe tο 2/3 and the y-intercept tο -1, and is represented by the linear functiοn g(x) = (2/3)x - 1.

Cοmparing the slοpes οf the twο lines, we can see that 2/3 < - 1, sο the graph οf the new line is less steep than the graph οf the οriginal line.

This eliminates οptiοns (a) and (c).

Next, we can examine the y-intercepts.

The y-intercept οf the οriginal line is 0, while the y-intercept οf the new line is -1. This means that the graph οf the new line has been translated up by -1 unit. This eliminates οptiοn (d).

Therefοre,

The relatiοnship between the twο graphs is that the graph οf the new line is less steep than the graph οf the οriginal line, and the y-intercept has been translated up. Sο, the cοrrect answer is (d).

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Complete Question:

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to 5/4 and the y-intercept to -1

Which statement about the relationship between these two graphs is true?

a. The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

b. The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

c. The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

d. The graph of the new line is less steep than the graph of the original line, and they-intercept has been translated down.

Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

Answer:104

Step-by-step explanation:

125 – 25 + 5 – 1=105

I hope this helped :))

Answer:

Is it the answer is C?

2+4+3+5+1=15

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

Answer:

x = 1/3

Step-by-step explanation:

To solve the equation 9x - 1 = 2, we need to isolate the variable x on one side of the equation.

Adding 1 to both sides of the equation, we get:

9x - 1 + 1 = 2 + 1

Simplifying:

9x = 3

Dividing both sides by 9:

x = 3/9

Simplifying the fraction:

x = 1/3

Therefore, the solution to the equation 9x - 1 = 2 is x = 1/3.