What is it help me plz

The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).

area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:

\($$A = (x+12)(x+16)$$\)

Expanding this expression, we get:

\($$A = x^2 + 28x + 192$$\)

Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).

The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:

\($\frac{3}{5}=\frac{x}{500000}$$\)

Simplifying this expression, we get:

\($x = \frac{3}{5}\times 500000 = 300000$$\)

Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.

We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:

\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)

Here, the coefficients of the polynomial are:

\($$a = 1, \quad b = 28, \quad c = 192$$\)

Substituting these values in the quadratic formula, we get:

\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)

Simplifying this expression, we get:

\($$x = -14 \pm 2\sqrt{19}$$\)

Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:

\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)

or

\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)

So, we have factored the polynomial into two factors.

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Answer:

4

Step-by-step explanation:

-4/(k+7)

For k=-8

-4/(-8+7)

-4/-1

4

Tally won the dirt throwing game and his score was 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information, The score of Tally is,

= 3×2 - 3×3 + 4×1.

= 6 - 9 + 4.

= 1.

The score of Awasin is,

= 4×2 - 4×3 + 2×1.

= 8 - 12 + 2.

= - 2.

So, Tally won the game and his score is 1.

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Answer:

(y/x)⁴

Step-by-step explanation:

14x^4y^6/7x^8y^2

= 2x^(-4)/2y^(-4)

= (y/x)⁴

Answer:

2y^4/x^2

Step-by-step explanation:

4x^4y^6 ÷ 7x^8y^2

you will find the GCF of the equation which is: 7x^4y^2 . Then, you will divide both of the equation by the GCF and it will become

14x^4y^6 ÷ 7x^4y^2 = 2y^4

7x^8y^2 ÷ 7x^4y^2 = x^2

then you'll get the answer 2y^4/x^2

Answer:

Yes it is reasonable

Step-by-step explanation:

0.78 is greater than 0.7

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When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).

Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.

The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).

Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.

Hence, option (c) is the correct answer.

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

1 3/4

Step-by-step explanation:

improper to mixed number

The total number of children who attended play is 10 and this can be determined by forming the linear equation in two variables.

Given :

The following steps can be used in order to determine the total number of children attending play:

Step 1 - Let the total number of adults attending play be 'x' and the total number of children attending play be 'y'.

Step 2 - The linear equation that represents the total number of people attending the play is:

x + y = 40

x = 40 - y    --- (1)

Step 3 - The linear equation that represents the price of all the tickets is:

12x + 8y = 440    --- (2)

Step 4 - Now, substitute the value of 'x' in the above expression.

12(40 - y) + 8y = 440

Step 5 - Simplify the above expression.

480 - 12y + 8y = 440

40 = 4y

y = 10

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Answer:

\( \displaystyle m\angle JKM = 50\)

Step-by-step explanation:

remember that,

if a side of a triangle expanded exterior so formed is equal to the sum of the two interior angles

so,

\( \displaystyle m\angle JKM = 25 + 25\)

simplify addition:

\( \displaystyle m\angle JKM = 50\)

Answer:

m ∠DGA  =  78°

Step-by-step explanation:

∠CGB and ∠DGA are vertically opposite angles formed at the intersection of the two rays AB and CD

Such angles are equal to each other

Therefore
m ∠DGA  = m ∠CGB  = 78°

The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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Answer:

180

Step-by-step explanation:

9x5x4=180

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Answer:

27.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

110/4 is 27.5

Ok, so

If we analyze the tab, we notice the following things:

- The number of students with blue eyes and blond hair is 42. That's because if we go to the table and look at the rows and columns, 42 is the number which relations these two facts.

- The number of students with gray eyes and brown hair, is 5. That's because if we go to the table and look at the rows and columns, 5 is the number which relations these two facts.

- The difference of the number of students with gray eyes and brown hair and the number of students with green eyes and black hair is:

- Green eyes and black hair - gray eyes and brown hair

=> 11 - 5, which is 6.

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

QUESTION:

which one is it?

ANSWER:

Okay, so everyone knows that a straight angle/ full triangle equals up to the sum of 180°, right?

So you take the 180° and subtract the 51°. And you should be getting 129°.

But, since this is a right triangle all I did was subtract 51° from 90° (a right triangle). In the end, the final answer is 39°

Step-by-step explanation:

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a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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Answer:

0.25 or 25% probability

Step-by-step explanation:

The lower limit in this question = a

The upper limit = b

P(X<=x) = x-a/b-a

a = 4

b = 8

The question says it is uniformly distributed between 4 minutes and 8 minutes

Probability that it takes her more than 7 minutes to wait for the bus

P(X<=7) + P(X>7)= 1

We are to get P(X>7)

= 1 - (7-4/8-4)

= 1-3/4

= 1-0.75

= 0.25

= 25% probability it takes her more than 7 minutes to wait

9514 1404 393

Answer:

  P(E') = 12/13

Step-by-step explanation:

If E is the event "a 10 is drawn", then its probability is 4/52 = 1/13, because there are 4 cards in the deck that are 10s. The probability of E' is the complement of this:

  P(E') = 1 -P(E) = 1 -1/13

  P(E') = 12/13

\(\sf \Large \boxed{\displaystyle \sf \frac{12}{13} } \\\\\\ 10 \ of \ spades \ or\ 10 \ of \ clubs \ or\ 10 \ of \ diamonds \ or\ 10 \ of \ hearts \\\\4 \ cards \ from \ the \ 52 \ are \ tens\\\\48 \ are \ not \ tens\\\\\displaystyle \frac{48}{52} =\frac{12}{13}\)

Answer:

x=29

Step-by-step explanation:

5 times 29 equals 145 and 9 plus 57 plus 69 equals 135 add 135 and 145 and you get 180.

Answer: 2/5

Step-by-step explanation:

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Using the concept of ratio and proportions, Shanice will need 7 gallon for 14 lawns.

Proportion is a mathematical concept that describes the relationship between two or more related quantities. It is usually expressed as a ratio or a fraction, which indicates how much of one quantity there is compared to the other. Proportions are used in many areas of mathematics and science, including statistics, geometry, and physics.

In this problem, we have to find the ratio or proportion to which she uses fuel per lawn.

2 gallons = 4 lawns

1 gallon = x lawn

x = (4 * 1) / 2

x = 4 / 2

x = 2 lawn

So, she uses 1 gallon on 2 lawns

We can set an equation of proportionality for this or go straight ahead and equate to find the number of gallons required for 14 lawns.

1 gallon = 2 lawn

x gallon = 14 lawn

x = (14 * 1) / 2

x = 7 gallon

She will need 7 gallons to work on 14 lawns.

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Answer:

ur gay landen

Step-by-step explanation:

Answer:

1 7/20 lbs

Step-by-step explanation:

6¾ ÷ 5

27/4 ÷ 5/1

multiply by the reciprocal

27/4 × 1/5 = 27/20 = 1 7/20

Quantity of dry fish food with Fred :-

\( = 6 \frac{3}{4} \: pounds\)

Number of containers he will divide it into = 5

Quantity of food in each container :-

\( = 6\frac{3}{4} \div 5\)

\( = \frac{(4 \times 6 + 3)}{4} \div 5\)

\( = \frac{(24 + 3)}{4} \div \frac{5}{1} \)

\( = \frac{27}{4} \div \frac{5}{1} \)

\( = \frac{27}{4} \div \frac{1}{5} \)

\( = \frac{27 \times 1}{4 \times 5} \)

\( = \frac{27}{20} \)

\( = 1 \frac{7}{20} \)

Therefore , each container contains :-

\(1 \frac{7}{20} \: pounds \: of \:d ry \: fish \: food \: .\)

inconsistent system

x-3y=10 ...equation 1

-2x+6y=-19 ...equation 2

using substitution method:

let's make x the subject of formula in equation 1

x = 10 + 3y

Substitute for x in equation 2

-2(10 + 3y) + 6y = - 19

-20 - 6y + 6y = -19

-20 + 0 = -19

-20 = -19

The left hand side is not equal to right hand side. It is said to be no solution.

When a system has no solution, it is said to be inconsistent.

Hence, the answer is inconsistent system