solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]
​

Answer: x2 + 5x – 104 = 0

Step-by-step explanation:

Answer:

25 square inches

Step-by-step explanation:

A square has 4 congruent sides.

By knowing the perimeter of a square, you can find the length of a side.

perimeter = 4 * side

20 in. = 4s

s = 20 in./4

s = 5 in.

A side of this square measures 5 in.

Now we use the area formula to find the area of the square.

area = (side)^2

area = (5 in.)^2

area = 25 in.^2

Answer:

The area will be 25 inches.

Step-by-step explanation:

Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.

If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!

The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!)  by the number of sides you have, four!

Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.

So! 20 divided by the number of sides, 4, is five!

Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.

Hope you understand and this helps!

Step-by-step explanation:

Let's take a look at the dimensions of the cube. Since each cube has a side length of 1, the answer to the question is 1 x the number of cubes. Counting the sides gives 2 x 3 x 4, or 24 yd^3

Answer:

r = 2

Step-by-step explanation:

I'm assuming we're finding r

11 = 1 + 3r + 2r

Add up the numbers with r

11 = 1 + 5r

Subtract both sides by 1

11 = 1 + 5r

-1  -1

10 = 5r

Divide both sides by the coefficient, 5, to isolate the variable, r

10/5 = 5r/5

r = 2

Step-by-step explanation:

11=1+5r

11-1=5r

5r=10

r=10/5

r=2

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

Answer:

Step-by-step explanation:

You must show that this is a rational function.  As written, it is not such.

         -3x + 1

f(x) = ------------

           -x + 2

is a rational function; the horizontal line --------- indicates division.

If we let x grow large, the graph approaches the horizontal line y = 3, which we call "the horizontal asymptote."  There is a vertical asymptote at x = 2, which we know because the denominator will be zero at that x value.  The vertical intercept is

f(0) = 1/2, or (0, 1/2).

As x decreases towards negative infinity, the graph approaches the horizontal line (horizontal asymptote) y = 3.

Answer:

using the equilateral formula of solution

Answer:

[tex]x^2-3\geq 12[/tex]

Step-by-step explanation:

[tex]x^{2} -3[/tex] is the difference of a number squared and three

is at least 12, means that is greater but not less

[tex]x^2-3\geq 12[/tex]

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Answer:

C

Step-by-step explanation:

C

Answer: C

I had the same question.

Also hope this helps

Answer:

The area can be expressed as: [tex]\pi r^2+lw[/tex].

We have l=10, because 18-2(4)

We have w=8, as given.

Thus, the rectangle area is 80.

There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume

80+50.24=130.24.

Rounded to 1 decimal place that is 130.2

Hope this helps :)

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

Answer:

x=2,y=7

Step-by-step explanation:

Using elimination method:

Add both equations

8x=16

x=2

Put x=2 into equation 2

3•2+6y=48

6y=42

y=7

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

Learn more about Function:

brainly.com/question/5245372

#SPJ7

Answer:

the answer is c

Step-by-step explanation:

convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3

Answer:

C

Step-by-step explanation:

So first, we should probably un-mix those fractions. So, we get:

4/3 x 7/4.

Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

(7/10)+((9+3)/1)

(0.7)+(12)

12.7

Answers:

5. Quadrilateral

6. Rhombus

7. Rectangle

8. Parallelogram

=============================

Explanations:

5. We don't know much about this other than it has 4 sides, so we simply say it is a quadrilateral. Quad = 4, lateral = side

-----------

6. The four sides are the same length as shown by the similar tickmarks. Therefore we have a rhombus. A rhombus is any quadrilateral with four equal sides. A square is a special type of rhombus, though in this case it appears to be a non-square type of rhombus, as the angles are not 90 degrees.

-----------

7. A rectangle has 4 angles that are all 90 degrees. Visually the tiny little square angle marker tells the reader we have a 90 degree angle.

-----------

8. We have a parallelogram here because the opposite sides are the same length. In addition, the opposite angles are the same measure. Through using the SSS congruence rule, we can do a bit of work to show that the alternate interior angles are congruent, leading to the opposite sides being parallel. So in short, the given info here is enough to prove we have opposite sides being parallel which is what makes a parallelogram possible.

Answer:

here is an example to guide you

Step-by-step explanation:

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh

7.2 x 7.2

A = 51.84 cm²

A = 1/2bh

1/2 x 7.2 x 6

A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

Answer:

the answer is ( x-9) (x+1) = 0

Step-by-step explanation:

more to the solution is x= -1, 9

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

Answer:

(7, 3)

Step-by-step explanation:

2x - y =11                         2x-y =11

-2(x+3y)= (-5)-2              -2x-6y= 10

Then you will cross out the x, and add.

-7y =21 divide 7

y=-21/7 or y=3

Then you plug in the y where the y is and solve

2x-(3) = 11

2x = 14

x=7

Answer:

3/4

Step-by-step explanation:

We would like to find what 0.75 is as a fraction.

Remember that since there are two digits past the decimal point, the denominator will 100.

So, the numerator is 75 and the denominator is 100. We now have:

75/100

We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:

75 / 25 = 3

100 / 25 = 4

The answer is thus 3/4.

~ an aesthetics lover

Answer: 14 1-cent stamps (in case anyone else still needs)

Step-by-step explanation:

1-cent stamps=x

8-cent stamps=x-4

12-cent stamp=.5x

x+x-4+.5x=31

2.5x-4=31

2.5x=35

x=14

You can use the $1.78 to double check:

(1*14)+(8*10)+(12*7)

14+80+84=178 cents (or $1.78)

Answer:

The correct option is;

Left object volume = right object volume

Step-by-step explanation:

The shapes given in the question are two circular cones that have equal base radius and equal height

The formula for the volume, V of a circular cone = 1/3 × Base area × Height

The base area of the two shapes are for the left A = π·r², for the right A = π·r²

The heights are the same, therefore, the volume are;

For the left

[tex]V_{left}[/tex] = 1/3×π·r²×h

For the right

[tex]V_{right}[/tex] = 1/3×π·r²×h

Which shows that

1/3×π·r²×h  = 1/3×π·r²×h and [tex]V_{left}[/tex]  = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.

Answer:

Hey there!

For this question we want to find 32% of 1239500.

0.32(1239500)=396640.

Hope this helps :)

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]

(x - 3)² = 4 [ part b ]

Take the square root of both sides

x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )

x = 3 ± 2

Thus part c is

x = 3 - 2 = 1

x = 3 + 2 = 5

Answer:

I would be 7 gallons used and 5 gallons left

Step-by-step explanation:

multyply 1.75 times 4 hours equal 7 then 12-7=5 is the total of gallons left

Hope this helps

Answer: g(1) is 1.

Step-by-step explanation:

If we are solving for g of 1  then the first equation can't be used to solve for g of 1 because it only works in x is equal to -2.

The same way the second function will not work because x has to equal to -1.

But in the last function which is written as a polynomial it will work for this situation because x is not equal to -2 or -1 so apart from those numbers every number will work the same way 1 will work.    

So plot 1 into the function and solve for it .

g(1) = 1^3 - 1^2 + 1  

g(1)=  1 - 1 + 1

g(1)= 1

Answer:

The 16 cases will fit the box as shown.

Step-by-step explanation:

One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.

Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.  

1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.

2) The horizontal length of each case is 14.2 cm.  Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.

3) The vertical measurement of each case is 19.3 cm.  The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.

All indications are that the 16 cases will fit comfortably inside the box.

Answer:

16 discs capacity of the cuboid.

Step-by-step explanation:.

for simplicity...

i would just divide 26cm to 1.6cm = 16 .25

therefore,  16 discs capacity of the cuboid.

Answer:

10.5

Step-by-step explanation: