What is the length of DF?

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:

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:

3c-8

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:

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:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

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Answer:

[tex]\frac{35(1 + 35)}{2}[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]

T1 is the first term; [tex]T_1 = 1[/tex]

Tn is the last term; [tex]T_n = 35[/tex]

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes

[tex]S_n = \frac{35}{2}(1 + 35)[/tex]

[tex]S_n = \frac{35(1 + 35)}{2}[/tex]

From the list of given options;

Option A is correct

[tex]\frac{35(1 + 35)}{2}[/tex]

Answer: i think the answer is 1.5

Step-by-step explanation:

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:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

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:

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:

54

Step-by-step explanation:

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

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:

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:

32.137 cm squared **Answer varies on how you round for step 2**

Step-by-step explanation:

**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**

If the diameter is also 6 cm then the triangle would be isosceles .

1. Find the area of the triangle.

            Formula: (Base x Height) / 2

            = 6X6/2 = 18 cm squared

2. Find area of half-circle.

            Formula:  (πR^2)/2

            = (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared

3. Add the areas.

            18 + 14.137 = 32.137 cm squared.

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

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:

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:

Answer:

radius is 12, diameter is 24

Step-by-step explanation:

it is a 15-12-9 triangle

What do you mean?? .-.

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

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:

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:

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.