Please Help Me ASAP!!!

Answer:

Step-by-step explanation:

I would have thought the answer would be whole numbers...

using top line....

5x-5y + 7x-15 = 180 (that is a line)

12x - 5y = 195

using bottom line

4x+ 4y +2x+ y = 180

6x + 5y =180

~~~~~~~~~~~~~~~~~~

12x - 5y = 195

6x + 5y =180

(fives cancel)

18x = 375

x = 20.83

y= 11

Answer:

x=125/6

y=11

Step-by-step explanation:

Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.

So we have the following two equations:

7x-15+5x-5y=180

4x+4y+2x+y=180

Let's simply(combine like terms):

12x-5y-15=180

6x+5y=180

Add 15 on both sides for first equation:

12x-5y=195

6x+5y=180

Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):

18x=375

Divide both sides by 18:

x=375/18

Simplify (reduce fraction):

x=375/18 ÷3/3=125/6

Now let's go back and find y using either equation:

6x+5y=180 with x=125/6

6(125/6)+5y=180

125+5y=180

5y=180-125

5y=55

y=11

x=125/6 and y=11

Triangle TSR is congruent to Triangle QRS by the ASA (Angle-Side-Angle) congruence criterion.

Given: Angle TSR and Angle QRS are right angles.

Given: Angle T is congruent to Angle Q.

Given: Line segment SR is congruent to line segment RS (reflexive property).

By Step 1: Angle TSR is congruent to Angle QRS (right angles are congruent).

By Step 2: Angle T is congruent to Angle Q (given).

By Step 3: Line segment SR is congruent to line segment RS (reflexive property).

By ASA congruence criterion: Triangle TSR is congruent to Triangle QRS (Angle-Side-Angle).

Therefore, Triangle TSR is congruent to Triangle QRS.

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Answer: The differential equations is

y3 3x3logx = 8x3.

Step-by-step explanation:

break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.

result

Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3

xy2dy/ dx = y3- x3

dy/ dx = ( y3- x3)/ xy2

dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)

Put y/ x = v ⇒ y = xv

separatew.r.t x

dy/ dx = x.dv/ dx v

Equation( 1) becomes,

⇒ dv/ dx v = ( v3- 1)/ v2

⇒ dv/ dx = (( v3- 1)/ v2)- v

⇒ dv/ dx = ( v3- 1- v3)/ v2

v2. dv = -1/x.dx

Integrate on both sides, we get

∫ v2. dv = ∫- 1/x.dx

v3/ 3 = - logx C

1/3( y3/ x3)) log x = C( 2)

Now, given that y( 1) = 2

Substituting y = 2 and x = 1 in equation( 2)

(1/3) ×(23/13)) log 1 = C

C = 8/3

From equation( 2), we get

⇒( y3/ 3x3) logx = 8/3

thus, the needed differential equation is y3 3x3logx = 8x3.

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The answer to the given question is 5≤x<9.

Open interval do not include the given points where close intervals include the given points.

According to the given question

x is less than 9 and greater than or equal to 5

5≤x<9

There are 4 types of inequalities lees than, greater than, less than or equal to, greater than or equal to.

Suppose a is greater than 2 and less than 6 this can be written as

2<x<6.

another example a is greater than or equal to 2 and less than or equal to 6 then this can be written as

2≤x≤6.

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Answer:

See below

Step-by-step explanation:

I assume you want the quadratic that has these values

Vertex form of this parabola

y = a(x- - 1)^2  + 4     insert the given point to calculate 'a'

8 = a (1 + 1)^2 + 4    shows a = 1

y = (x+1)^2 + 4         expand this  vertex form to get the quadratic form

y = x^2 + 2x + 5

Answer:

The answer is yes. Is yes

We are asked to find the proportion of mild cases that were effectively dealt with using treatment A. First we will find the total number of cases that were dealt with using treatment A, that is:

Fr

The rule that describes the transformation is (x,y) to (-x, -y)

Transformation is the change in the coordinates of the vertices that form the shape when the shape is either reflected, rotated or translated.

Analysis:

Amongst all the options, the third option actually shows a 180° clockwise or counter-clockwise rotation which is  The x-coordinates and y-coordinates of the vertices become the opposite of the coordinates so x becomes -x, y becomes -y.

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The function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)} is a one-to-one function. It satisfies condition where each input value maps to unique output value, ensuring no repetition or multiple inputs leading to the same output.

A one-to-one function, also known as an injective function, is a type of function where each input value is uniquely mapped to an output value. In the given function f: {(1, 5), (-2, 3), (-4, 2), (2, 5)}, we can observe that each input value corresponds to a distinct output value. For example, the input 1 is mapped to the output 5, and no other input has the same output. Similarly, the inputs -2, -4, and 2 are associated with the outputs 3, 2, and 5 respectively, without any repetition.

This lack of repetition or duplication in the outputs demonstrates that the function is one-to-one. Each input has a unique correspondence with its output, and no two different inputs yield the same output value. Therefore, based on the provided set of mappings, we can conclude that the function f is indeed a one-to-one function.

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The solution of given expression is o and 22/17 .

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to specific an unknown value the usage of letters together with x, y, z, and so forth. those letters are called right here as variables.

An algebraic expression can be a aggregate of both variables and constants. Any cost that is positioned earlier than and expanded with the aid of a variable is a coefficient.

Given expression ,

13y^2+9y+4y^2-31y

Lets equals to 0

we get,

13y^2+9y+4y^2-31y  = 0

17 y ^2 - 22y = 0

y (17y -22) = 0

y = 0

and y  = 22/17

Hence, The solution of given expression is 0 and 22/17 .

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Hey there!

2x + 3x = 20 + x

5x = 20 + x

20 + x = 5x

SUBTRACT x to BOTH SIDES

5x - x = 20x + x - x

5x - 1x = 20x + 1x - 1x

SIMPLIFY IT!
4x = 20

DIVIDE 4 to BOTH SIDES

4x/4 = 20/4

SIMPLIFY IT!
x = 20/4

x = 5

Therefore, your answer is: x = 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:

so easy and obvious dude

Step-by-step explanation:

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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Answer:

y=1/3x+11/3

Step-by-step explanation:

y=mx+b

y=1/3x+b

3=1/3(-2)+b

3 = -2/3+b

+2/3 +2/3

11/3=b

So the equation of the line that perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 ) is y=1/3x+11/3.

To ensure that you have at least two cards with the same denomination, you would need to draw five cards.

This problem is a variation of the pigeonhole principle, also known as the birthday paradox. There are 13 denominations in a standard deck of cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King), and drawing five cards creates five pigeonholes. Since there are more pigeonholes than there are denominations, it is guaranteed that at least two of the cards will have the same denomination. To see this, note that drawing six cards will also guarantee two cards with the same denomination, since there would be six pigeonholes and only 13 denominations.

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Lets do this step by step.

This is the trigonometric form of a complex number where \(|z|\) is the modulus and \(0\) is the angle created on the complex plane.

\(z = a + bi = |z| (cos ( 0 ) + I sin (0))\)

The modulus of a complex number is the distance from the origin on the complex plane.

\(|z| = \sqrt{a^2 + b^2}\) where \(z = a + bi\)

Substitute the actual values of a = -5 and b = -5.

\(|z| = \sqrt{(-5) ^2 + (-5) ^2}\)

Now Find \(|z|\) .

Raise - 5 to the power of 2.

\(|z| = \sqrt{25 + (-5) ^2}\)

Raise - 5 to the power of 2.

\(|z| = \sqrt{25 + 25}\)

Add 25 and 25.

\(|z| = \sqrt{50}\)

Rewrite 50 as 5^2 . 2 .

\(|z| = 5\sqrt{2}\)

Pull terms out from under the radical.

\(|z| = 5\sqrt{2}\)

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

\(0 = arctan (\frac{-5}{-5} )\)

Since inverse tangent of  \(\frac{-5}{-5}\)  produces an angle in the third quadrant, the value of the angle is \(\frac{5\pi }{4}\) .

\(0 = \frac{5\pi }{4}\)

Substitute the values of \(0 = \frac{5\pi }{4}\) and \(|z| = 5\sqrt{2}\) .

\(5\sqrt{2} ( cos( \frac{5\pi}{4}) + i sin (\frac{5\pi}{4}))\)

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

An imaginary number is denoted by i.

The value of i is √-1.

We have,

To express the complex number (5 - 5i) in trigonometric form,

We first need to find its modulus (r) and argument (θ).

The complex number (a - bi) in trigonometric form is

|r| [cosФ + i sinФ]

Now,

Modulus (r).

|r| = √(5² + (-5)²)

= √(50)

= 5√(2)

And,

Argument (θ).

θ = \(tan^{-1}\)(-5/5)

  = -π/4

(since the complex number is in the fourth quadrant)

Therefore,

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

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Answer: $55.35

Step-by-step explanation:

The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Given that,

Jack borrows $2,700 at a rate of 8.2% per year.

Principle amount P = 2700

Rate of interest = 8.2% per year

Rate of interest per month ⇒ 8.2/12 = 0.683%

The simple interest for the  T time period is given by,

Interest = PRT/100

Interest = (2700 × 0.683 × 3)/100 = $55.35

Hence "The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35".

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Answer:

see below

Step-by-step explanation:

We are here given that weight of an object having mass of 5kg is 450N .

As we know that,

Weight = mass * acceleration due to gravity (g)

So that ,

450N = g * 5kg

g = 450/5 m/s²

g = 90m/s²

Again in second case,

147N = g' * 50kg

g' = 147/50 m/s²

g' = 29.4 m/s²

since here g ≠ g'

Therefore,

mass and weight are not promotional in this case. This may be due to the fact that the acceleration due to gravitational force of each celestial object is different and weights may have been measured on different planets.

And the constant of proportionality is g ( acceleration due to the gravitational force) .

And we are done!

The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Correct choice is : C

\(\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis\)

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

The volume of a triangular prism in question number 3, obtained from the product of the area of a triangle and the thickness of the prism is 1,728 mi³

A triangular prism consists of two triangular bases and three sides that are rectangular.

The solid in the figure in question number 3 is a triangular prism, with the following dimensions.

Base length = 30 mi.

Thickness (depth of the prism) = 8 mi

Shape of the triangles = Right triangles

Leg lengths of the right triangles = 18 miles and 24 miles

The volume of the triangular prism = Area of the cross section of the triangular prism × Depth of the prism

Area of the triangular cross section of the triangular prism = (1/2) × 18 × 24 = 216 mi²

Volume of the triangular prism = 216 mi² × 8 mi = 1728 mi³

The volume of the triangular prism in the figure is therefore; 1,728 mi³

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Answer:

q

Step-by-step explanation:

Therefore, you would need 79 cakes for the party using equation.

To determine the number of cakes needed for the party, we first need to calculate the total number of servings required and then divide that by the number of servings per cake.

The number of clients is 6, and each client requires a cake. Additionally, there are 70 party guests and 3 staff members who also need to be served. Therefore, the total number of servings required can be calculated as:

Total servings = (Number of clients + Number of guests + Number of staff) * Servings per cake

Total servings = (6 + 70 + 3) * 24

Total servings = 79 * 24

Total servings = 1896

Since each cake serves 24 servings, and we need a total of 1896 servings, we divide the total servings by the servings per cake to find the number of cakes needed:

Number of cakes = Total servings / Servings per cake

Number of cakes = 1896 / 24

Number of cakes = 79

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Step-by-step explanation:

$38.25/$4.25 ×1hr

9hrs

Answer:

10

Step-by-step explanation:

if 4 cupcakes were 2/5 of what she started out with, i divided 4/2 and got 2 so 2 cupcakes per 1/5, 2*5=10 so 5/5 is the 10 cupcakes

\(4x + 3 > 19\)

Step-by-step explanation:

\(4x + 3 > 19 \\ 4x + 3 - 3 > 19 - 3 \\ 4x > 16 \\ 4x \div 4 > 16 \div 4 \\ x > 4\)

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer:

just add 15% to the other number :/ do your own work and dont cheat

Step-by-step explanation:

The value of x is 48 cm if the box had dimensions 25 cm, and 36 cm as the other two sides of a triangle with a diagonal length of 65 cm.

The given data is as follows:

length = 65 cm

dimensions  = 25 cm * 36 cm * x cm

We can utilize the Pythagorean theorem to solve for the value of x.

The Pythagorean theorem says that in a right-angle triangle, the square of the hypotenuse is equal to the sum of the square of lengths of the other two sides of the triangle.

So, we have the equation:

65^2 = 25^2 + 36^2 + x^2

Now, finding the value of x

x^2 = 65^2 - 25^2 - 36^2

x^2 = 4225 - 625 - 1296

x^2 = 2304

x = sqrt(2304)

x = 48 cm

Therefore we can conclude that the value of x is 48 cm

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The value of x i.e. the width of the box is 48 cm

From the question, we have the following dimensons

Height = 25 cm

Width = x

Length = 36 cm

Diagonal = 65

To calculate the value of x, we make use of the following pythagorean triples equation:

Diagonal² = Sum of the squares of the dimensions

This gives

65² = 25² + 36² + x²

Evaluate the like terms

x² = 2304

Take the square root of both sides

x = 48

Hence, the value of x is 48

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