A 5-kg concrete block is lowered with a downward acceleration of 2.8 m/s² by means of a rope. The force of the block on the rope is:
14N, up
14N, down
35 N. up
35 N, down
49 N, up

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The correct solutions for the given quadratic equation are x ≈ 7.82 and x ≈ -0.82.

To find the solutions of the quadratic equation x² = 7x + 4, we can rearrange the equation to bring all the terms to one side:

x² - 7x - 4 = 0

Now, we can solve this quadratic equation using various methods, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

The quadratic formula states that for an equation in the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing the given equation x² - 7x - 4 = 0 to the standard quadratic form ax² + bx + c = 0, we have a = 1, b = -7, and c = -4.

Plugging these values into the quadratic formula, we get:

x = (-(-7) ± √((-7)² - 4(1)(-4))) / (2(1))

 = (7 ± √(49 + 16)) / 2

 = (7 ± √65) / 2

Therefore, the solutions of the quadratic equation x² = 7x + 4 are:

x = (7 + √65) / 2

x = (7 - √65) / 2

Approximating these values, we find:

x ≈ 7.82

x ≈ -0.82

So, the solutions of the quadratic equation x² = 7x + 4 are approximately x = 7.82 and x = -0.82.

In the given answer choices:

-7, 0: These values do not correspond to the solutions of the quadratic equation x² = 7x + 4.

7, 0: These values also do not correspond to the solutions of the quadratic equation x² = 7x + 4.

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So by triangle ACD and BCD we have  

BC = AC.

To prove that BC = AC, we can use the fact that CD is the perpendicular bisector of AB.

Since CD is the perpendicular bisector of AB, we have:

AD = DB (by definition of perpendicular bisector)

Also, since triangle BDC is isosceles (BD = CD), we have:

BD = DC

Combining these two equations, we get:

AD = BD = DC

Therefore, triangle ACD is also isosceles, and we have:

AC = AD + DC

AC = AD + BD

AC = AB

Therefore, BC = AC - AB

But we know that AC = AB (since triangle ACD is isosceles), so:

BC = AC - AB = AB - AB = 0

Therefore, BC = AC.

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Answer:

12 cm of coastline

Step-by-step explanation:

Multiply the years (factor) by the receding amount, 3cm, (constant) BAM answer.

Answer:

There are 6 ordered pairs

Step-by-step explanation:

hope this helps u

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

?

Step-by-step explanation:

Answer: c

Step-by-step explanation:

A p e x

17 1/4 = p - 2 3/4

To solve for p add 2 3/4 to both sides

P = 17 1/4 + 2 3/4

P = 20

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

Answer:

(n - 10)(n-1)

Step-by-step explanation:

You have to choose two values that multiply to 10 and add to -11. Those to values are -10 and -1.

n² - 10n - 1n + 10

Rearrange them so that they can have a common factor.

n² - 1n - 10n + 10

1n (n - 1) + -10 (n + 1)

1n (n - 1) - 10 (n - 1)/ n-1

(n - 10)(n-1)

If the triangles ABC and DEF are similar, then the measurement of line segment DE = 108.72 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

It is given that triangle ABC is similar to triangle DEF.

It can be seen in the image that ΔDEF is a dilated version of ΔABC.

In ΔABC the measurement of side AB = 23 units

In ΔABC the measurement of side BC = 11 units

In ΔDEF the measurement of side EF = 52 units

In ΔDEF the measurement of side DE = x units

Apply the formula for indirect measurement to find the measurement of side DE.

AB/DE = BC/EF

Substitute the values in the equation -

23/x = 11/52

23 × 52 = 11x

x = (23 × 52)/11

x = 1196/11

x = 108.72

Therefore, the measurement of DE is 108.72 units.

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Answer:

1.33

Step-by-step explanation:

24 cupcakes cost = 18$

1 cupcake cost. = 24/18

=1.33$

Answer:

14

Step-by-step explanation:

You multiply the negatives and then you get the positive.

The given equation is

We multiply 8 by each term in the bracket on the right side

Then we used the distributive property

The answer is D

The probability of drawing a number less than 6 or an even number is 6/11.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

There are 11 cards in the deck, and we want to find the probability of drawing a number less than 6 or an even number.

Numbers less than 6 in the deck are 4, 5, and 5. So, there are three such cards.

Even numbers in the deck are 4, 6, 6, and 2. So, there are four such cards.

Note that one of the cards (5) is both less than 6 and even, but we only want to count it once. Therefore, the total number of cards that meet either condition is 6 (3 + 4 - 1).

The probability of drawing a card that meets either condition is therefore 6/11, which can be written as a fraction in simplified form.

Thus, the probability of drawing a number less than 6 or an even number is 6/11.

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Answer:

above sea level

Step-by-step explanation:

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

Step-by-step explanation:

\(2(2x + 4) = 12 \\ 4x + 8 = 12 \\ 4x = 4 \\ x = 1\)

Answer:

why does content bot keep deleting my answers bruhh

Step-by-step explanation:

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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We have the data set:

{79, 83, 82, 78, 79, 77, 80, 73, 82, 72}

This data set has 10 items.

To complete the data summary is helpful to sort the data:

{72, 73, 77, 78, 79, 79, 80, 82, 82, 83}

The minimum value is 72.

The quartile divides the data set in 4 parts.

The first quartile is the value for which 25% of the data is below.

The second quartile is the value for which 50% of the data is below. The second quartile is equivalent to the median.

The third quartile is the value for which 75% of the data is below.

In this data set, as its size is a even number, the quartile fall between two positions, so we will calculate the average of this numbers.

The first quartile will fall in the position 0.25*10=2.5. Then we can calculate the 1st quartile as the average between the 2nd and 3rd number of the data set.

This values are 73 (2nd position) and 77 (3rd position), so the average is:

We can repeat this with the other quartiles:

Then:

The first quartile is 75.

The median (second quartile) is 79.

The third quartile is 82.

The maximum value is 83.

The area of the Triangle given in the question is 4.7

Area of Triangle = 1/2(base × height )

Using the vertex , we can obtain the height of the triangle thus:

height = 1.873

Inserting the parameters into the Area formula :

height = 1.873

base = 5

Area of Triangle = 1/2 × 5 × 1.873

Area of Triangle= 4.68

Therefore, the area of the triangle is 4.7

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The garden will be in the shape of rectangle with length=18feet, breadth=12feet or length=20 feet, breadth=10 feet.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.

Perimeter of a Rectangle:-

The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:

Perimeter, P = 2 (Length + Width)

Now,

Total fencing available=60feet

that means perimeter should be 60 feet of the garden.

Hence,

two dimensions of the rectangle could be length=18feet, breadth=12feet or length=20 feet, breadth=10 feet.

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   If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.

  Length of segments will be,

 PQ = 12 units

 QR = 14 units

 ST = 11 units

 PS = 43 units

 PR = 26 units

 RT = 28 units

It's given in the question,

And the lengths of different segments are,

By segment addition postulate,

PQ + QT = PT

PQ = PT - QT

PQ = 54 - 42

     = 12 units

QR + RS = QS

QR = QS - RS

     = 31 - 17 = 14 units

ST = QT - QS

     = 42 - 31 = 11 units

PS = PT - ST

     = 54 - 11

     = 43 units

PQ + QR = PR

12 + 14 = PR

PR = 26 units

RS + ST = RT

17 + 11 = RT

RT = 28 units

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To find the polar equation of a hyperbola with eccentricity 3 and the directrix (x = 1), we can start by defining the standard polar equation for a hyperbola.

Like this :

[r = frac{ed}{1 - e\cos(theta)}]

where (r) is the distance from the origin, (e) is the eccentricity, (d) is the distance from the origin to the directrix, and \(\theta\) is the angle from the positive x-axis.

In this case, the eccentricity is given as 3 and the directrix is (x = 1). The distance from the origin to the directrix is the absolute value of 1, which is simply 1.

Substituting these values into the polar equation, we get:

[r = frac{3}{1 - 3\cos(theta)}]

Therefore, the polar equation of the hyperbola with eccentricity 3 and the directrix (x = 1) is \(r = frac{3}{1 - 3\cos(theta)}).

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6t ÷ 9

I hope this helps!

Answer: 6t

Step-by-step explanation:

there are 6 t's so yea it's  the 6th work for me -_-

Answer:

true

Step-by-step explanation:

hope its help bro

ok

Answer:

85

Step-by-step explanation:

Answer:

(2b-a)x(2b-3)x(2b+3)

Step-by-step explanation:

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

\(~~~~~\sin \theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\\ \implies \sin x = \dfrac{HI}{GI}\\\\\\\implies \sin x = \dfrac{39}{62}\\\\\\\implies x= \sin^{-1} \left( \dfrac{39}{62} \right)\\\\\\\implies x =38.9^{\circ}\)

Answer:

\(percentage = \frac{56}{145} \times 100\)

56/145×100

0.386...×100

38.6%