PLEASE HELP I AM IN A RUSH: Rita is developing an equation that will represent the same proportional relationship as the graph. On a coordinate plane, a line goes through points (0, 0) and (4, 7). How will the ordered pair help her when she finds the equation? The product of the coordinates will be a constant term in the equation. The quotient of the coordinates will be a constant term in the equation. The product of the coordinates will be a coefficient in the equation. The quotient of the coordinates will be a coefficient in the equation.

Answer:

Step-by-step explanation:

Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?

and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?

Answer:

c

Step-by-step explanation:

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

The solution to the system of equations will be x= 3/2 and y= 1/2.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=−x+2 and y=3x−4 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x =6

x =6/4=3/2

Plug x into any one of the given equations to find the value of y:

y =-x+2

Solve for the value of y.

y = - (3/2)+2

y = - (3/2)+4/2

y = 1/2

Hence, the solution for the equation will be x= 3/2 and y= 1/2.

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Answer:

235

Step-by-step explanation:

We have ED is 95.

We can find EC by 180-40 = 140

So DEC = 95+140=235

Answer:

236

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

52.28 sq m

Step-by-step explanation:

SA=pi r(r+ the square root of h-squared and r-squared)

SA=3.14x2(2+the square root of 36 and 4)

SA=3.14x2(8.32)  

SA=52.28 sq m

The Surface area of the given cone is 50.24 meter square

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Slant height l = 6 meter

Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter

Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]

=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]

=50.24 meter square

Hence, the surface area of the given cone is 50.24 meter square

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Answer:

3c-8

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6

x = 12

Answer: x is 12

Step-by-step explanation:

Answer:

Andy

Step-by-step explanation:

Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.

Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.

Answer:

Andy

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

$16

Step-by-step explanation:

0.48 x 33.95 = 16.296

Answer:

Hey there!

48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.

Hope this helps :)

Answer:

Coordinate D

Step-by-step explanation:

Answer: 3/2

Step-by-step explanation:

Hi, to answer this question we have to write the next expressions::  

Height 1= 8 +12 y

Height 2 =5 +14y

Where y = number of years

Since both heights must be the same

Height 1 = height 2

8+12y = 5+14y

solving for y:

8-5 =14y-12y

3 = 2y

3/2 =y

y = 3/2 years

Feel free to ask for more if needed or if you did not understand something.

8 + 12y = 5 + 14y

12y + 8 = 14y + 5

12y + 8 - 8 = 14y + 5 - 8

12y = 14y - 3

12y - 14y = 14y - 3 - 14y

-2y = -3

(-2y)/-2 = -3/-2

y = 3/2

Answer:

The answer is "101.37  yd"

Step-by-step explanation:

In the given question an attachment file is missing. so, we attached the file and calculates its value:

Use formula:

[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]

In the above-given equation we assume c is the third side:

[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]

c = 101.37  yd

Answer: i think the answer is 1.5

Step-by-step explanation:

Answer:

x - ( -8) = 1; x = -7

x - ( -13) = 17; x =

Step-by-step explanation:

x - ( -8) = 1 = x + 8 = 1

x = -7

x - ( -13) = 17 = x + 13 = 17

x = 4

Answer:

see below

Step-by-step explanation:

x - ( -8) = 1

Subtracting a negative is like adding

x+8 =1

Subtract 8 from each side

x+8-8= 1-8

x=-7

x - ( -13) = 17

Subtracting a negative is like adding

x+13 =17

Subtract 13 from each side

x+13-13= 17-13

x=4

Answer:

[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]

Step-by-step explanation:

Given expression : [tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]

Solving further:

[tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]

[tex]\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]

So,[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]

So, Option A is true

Hence the given expression is equivalent to Option A

Answer:

a

Step-by-step explanation:

edg 21 ^u^

Answer:

6.

Step-by-step explanation:

When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.

Hope this helps!

Answer:

6

Step-by-step explanation:

b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶

hence the exponent is 6

Answer:

The width is 4 inches

Step-by-step explanation:

Represent the length and width by L and W respectively.  Then L = W + 1.

According to the Pythagorean Theorem, the diagonal length is

D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.

Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.

Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0.  Then W - 4 = 0, and W (the width) is 4.  Then L = 5.

The width is 4 inches.

Answer:

32 m

Step-by-step explanation:

The distance across the river is give as x and we are interested in finding the value of x.

Both the triangles are similar by AA Postulate.

Therefore,

20/x = 10/16 (by c.s.s.t.)

2/x = 1/16

x = 16*2

x = 32 m

Answer:

[tex]Relative\ Frequency = 0.32[/tex]

Step-by-step explanation:

Given

The table in the attached diagram

Total population of the survey = 353

Required

Relative frequency of respondents who are Republican

First we consider the data in the republican row; this is presented as follows;

Republican:  29 ------ 49 ----- 35

Next, we add up this data to give the total number of respondents who are republicans

Republicans = 29 + 49 + 35

Republican = 113

Recall that

Total population of the survey = 353

The relative frequency is calculated as follow;

[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]

[tex]Relative\ Frequency = \frac{113}{353}[/tex]

[tex]Relative\ Frequency = 0.3201133145[/tex]

[tex]Relative\ Frequency = 0.32[/tex] (Approximated)

Answer:

a) 6x²/2x³-4

b)  [tex]2ln (2x^3-4)+ C[/tex]

Step-by-step explanation:

a) Given the ln(2x³-4). We will use the chain rule in differentiating the function

If y = ln(2x³-4);

u = 2x³-4; du/dx = 3(2)x³⁻¹

du/dx = 6x²

y = ln u; dy/du = 1/u

According to chain rule, dy/dx = dy/dy*du/dx

dy/dx = 1/u * 6x²

dy/dx = 1/2x³-4 * 6x²

dy/dx = 6x²/2x³-4

Hence, the derivative of the given function is 6x²/2x³-4

b) Given an integral function [tex]\int\limits {\frac{12x^2}{2x^3-4} } \, dx[/tex], the integral problem can be solved using integration by substitution method as shown below;

From the question, let y = 2x³-4... 1, dy/dx = 6x²

dx = dy/6x² ... 2

Substituting equation 1 and 2 into the question given;

[tex]\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C[/tex]

Answer:

It is not correct.

Step-by-step explanation:

If you plug 4 in for x, you get -2*4+5=13. This simplifies to: -8+5=13. This is an untrue statement since -8+5 is actually -3, not 13.

Hope this is helpful! :)

Answer:

undefined

Step-by-step explanation:

So with the following equation,

-2x + 5 = 13

we plug in 4 for x

-2(4) + 5 = 13

-2 * 4 = -8

-8 + 5 = 13

-8 + 5

-3 = 13

-3 is not 13 so it is undefined

Thus,

the answer is undefined.

Hope this helps :)

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

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Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

Answer:

The height of the cylinder in 2x units

The area of the cylinder's base is not square units.

Step-by-step explanation:

Answer:

p > q

Step-by-step explanation:

We khow that the sum of a triangle's angles is 180°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's start with the triangle containing p

● p+60+50 = 180

● p+110 = 180

● p = 180-110

● p= 90°

So p is a right angle

□□□□□□□□□□□□□□□□□□

The second triangle

● q+ 80+30 = 180

● q+ 110 = 180

● q = 180-110

● q = 70°

Then q is also a right triangle

■■■■■■■■■■■■■■■■■■■■■■■■■

We can deduce that p > q

Answer:

A

Step-by-step explanation:

The correct answer is A.

"3 less than" represents -3

"half of x" represents x/2

"is 15" represents =15

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer: