Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]

Answer:

w = -4

Step-by-step explanation:

→Distribute the 3 to (-w + 6):

14 + 3(-w + 6) = -11w

14 -3w + 18 = -11w

→Add like terms:

-3w + 32 = -11w

→Add 11w to both sides:

8w + 32 = 0

→Subtract 32 from both sides:

8w = -32

→Divide both sides by 8

w = -4

Answer:

w= -4

work:

14-3w+18=-11w

32-3w=-11

-3w+11w=-32

8w=-32 divide by 8 then you will get your answer

w=-4

Answer:

x = 350 gallons (amt of 60% solution that must be added)

Step-by-step explanation:

Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons

Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons

Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons

EQUATION:

Active ingredient: 0.60x + 15 = 50 + 0.50x

0.10x = 35

x = 350 gallons (amt of 60% solution that must be added)

Answer:

The formula is: [tex](x+2)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

Recall the formula for the equation of a circle with center at the point  [tex](x_0,y_0)[/tex]of radius "R' as:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore for your case, the formula becomes:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-(-2))^2+(y-3)^2=5^2\\(x+2)^2+(y-3)^2=25[/tex]

Answer:

k = 18

Step-by-step explanation:

6(3k + 15) − 16k = 7k

Distribute

18k +90 - 16k = 7k

Combine like terms

2k + 90 = 7k

Subtract 2k from each side

2k+90-2k = 7k -2k

90 = 5k

Divide by 5

90/5 = 5k/5

18 = k

Answer:

[tex]k = 18[/tex]

Step-by-step explanation:

[tex]6(3k + 15)- 16k = 7k \\ 18k + 90 - 16k = 7k \\ 18k - 16k - 7k = - 90 \\ - 5k = - 90 \\ \frac{ - 5k}{ - 5} = \frac{ - 90}{ - 5} \\ k = 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

2 12 1/2 inches

Step-by-step explanation:

1: 1 1/4 + 1 1/4

2: 1+1 = 2; 1/4 + 1/4 = 2/4

3:  2 2/4

Answer:  2 2/4

Hope this helps.

Answer:

2 12 1/2 inches

Step-by-step explanation:

Hope it helps <3

Answer: -4

Step-by-step explanation:idk

Answer:

x= -4

Step-by-step explanation:

Take the two functions to equal to eachother, bring 7 to the right side of the equal sign which will now be negative and minus it with -1 to get -8 . Then divide 2 both sides to get x= -4.

Answer:

hope this is correct

Answer:

2/3

Step-by-step explanation:

i hope this helps but um... 2/1÷2/3=2/3

Answer: X-7

Step-by-step explanation:

I put it into Tiger Algebra Calculator and that is what I got. Great tool btw I would recommend.

Answer:

3x+2x-4x+5-9+3

5x-4x+8-9

x-1

hope it helps

Answer:

Step-by-step explanation:

This is a binomial probability distribution and the probability of success and value is the same for each trial.

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is

89.4/100 = 0.894

If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7

This is actually below the known probability of success. Therefore, the correct option is

Yes, as the probability of seven having the correct shape is unusual

Answer:

Step-by-step explanation:

the shaded area is a solution.

Answer:

Up by 3 units, right by 9 units.

Step-by-step explanation:

The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)

Answer:Case I

When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem

Case II

When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa

Step-by-step explanation:

so the right answer is 31.4 cm(option C)

please see the attached picture for full solution

Hope it helps

Good luck on your website

Answer:

C. 31.4 cm

Step-by-step explanation:

→The formula for finding the circumference of a circle is:

C = 2πr

→However, it states that we use 3.14 for π:

C = 2(3.14)r

→The "r," is the radius, which is a straight line from the perimeter to the center. In this case, it is already given to us as 5 cm.

C = 2(3.14)(5)

C = 31.4

Answer:

600

Step-by-step explanation:

x+2x=1800

3x=1800

x=600

Answer:

- 30

Step-by-step explanation:

The 2 numbers are x and 2x and thir product is 1800, that is

x × 2x = 1800

2x² = 1800 ( divide both sides by 2 )

x² = 900 ( take the square root of both sides )

x = ± [tex]\sqrt{900}[/tex] = ± 30

The 2 numbers are 30 and - 30 with - 30 being the lesser number

Answer:

Step-by-step explanation:

perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle

= 2(l+B) + [tex]\pi[/tex] r

= 2( 10+8) + 3.14 × 5

= 36 + 15.7

= 51.7

= 100 ( rounding off to nearest hundredth )

hope this helps

plz mark it as brailiest!!!!!!

Answer:

48.57 ft

Step-by-step explanation:

Perimeter of Rectangle:

=> 2L+2B

Where L is length and B is Breadth

=> 2(10)+2(8)

=> 20+16

=> 36 ft

Here, Perimeter of Semi-circle:

=> πD/2

Where D = 8

=> (3.14)(8)/2

=> 12.57 ft

Perimeter of the figure

=> 36+12.57 = 48.57 ft

Answer:

[tex] (x + 3)^{2} - 2[/tex]

Step-by-step explanation:

[tex]h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^{2} - {3}^{2} + 7 \\ = (x + 3)^{2} - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^{2} - 2 }}[/tex]

If the gradients are not the same, then there will be a point, which intersects. That contradicts the statement that theclines have no points in common.

Step-by-step explanation:

Parallel lines are lines that have the same gradient.

Because parallel lines have a fixed distance between each other,it means they will never meet, no matter how long they are extended.

Since parallel lines have the same slope by definition, they will never intersect. Parallel lines continue, literally, forever without touching.

Prove:

Suppose that there are two lines, line l and line m, which have no points in common. Both lines are in the same plane.

If the gradients are not exactly the same, then there will be a point, which intersects. That contradicts the first statement (which says l and m have no points in common), therefore the gradients must be the same in order for l and m to have no points in common.

Answer:

XW = 80 feet

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle.

Please check the attachment for this.

We are told to calculate the length XW and this refers to the hypotenuse of the triangle.

The other side that we have is the adjacent.

So yo calculate the length of XW, we need a trigonometric identity that links hypotenuse and adjacent together.

The trigonometric identity to use here is the cosine.

Mathematically;

Cos of an angle = length of the adjacent/length of the hypotenuse

Cos 60 = 40/XW

XW = 40/Cos 60

Cos 60 = 1/2 or 0.5

XW = 40/0.5 = 80 feet

Answer:

The answer is 8.3

Step-by-step explanation:

(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)

I split the box on the right diagonally and got the equation

[tex]4^{2}[/tex] + [tex]2^{2}[/tex] = [tex]x^{2}[/tex]

=16 + 4 =[tex]\sqrt{20}[/tex]

≈4.5

The new triangle will help solve what d is

[tex]4.5^{2}[/tex] + [tex]7^{2}[/tex] = [tex]d^{2}[/tex]

=20.25 +49 = [tex]\sqrt{69.25}[/tex]

≈8.3

The diagonal of the rectangular prism shown is 8.3.

A polygonal is a closed, two-dimensional structure that is flat or plane and seems to have excellent dimensional.

A diagonal is a line segment that joins 2 opposing polygonal vertices.

In another word, a diagonal is an inclined line that connects two orthogonal lines to become a complete triangle.

Diagonal is the use for the idea of the length of sides, for example, if you want to measure the height of a tower knowing diagonal will surely help to do this.

Given a rectangular prism

Let x is the diagonal of the sides 7 and 4 then

By Pythagoras theorem

4² + 7² = x²

x² = 65

x=8.06

Now in the right-angle triangle of sides d,x and 2

d² = 65 + 4

D = √(69)

d  = 8.30 hence, the correct answer is 8.30.

For more about the diagonal

https://brainly.com/question/14735698

#SPJ5

Answer:

C(m) = 22.50 + .10m

Step-by-step explanation:

Cost = fee + mileage

Cost = 22.50 + .10m  where m is the number of miles

C(m) = 22.50 + .10m

Answer:

x = 2

Step-by-step explanation:

Since the central angles are congruent, and all radii are congruent, the triangles are congruent. By CPCTC x = 2.

Answer:

m∠R = 112°, m∠S = 112°, m∠T = 68°

Step-by-step explanation:

In a cyclic quadrilateral QRST,

m∠R + m∠T = 180° [Since opposite angles of a cyclic quadrilateral measure 180°]

(3x + 40)° + (5x - 52)° = 180°

8x - 12 = 180

8x = 180 + 12

8x = 192

x = 24

m∠R = (3x + 40) = 3×24 + 40

                          = 72 + 40

                          = 112°

m∠T = 180° - m∠R

        = 180° - 112°

        = 68°

Since m∠Q = 68°

m∠S = 180° - m∠Q

        = 180° - 68°

        = 112°

Therefore, m∠R = 112°, m∠S = 112°, m∠T = 68°

Answer:

112, 112, 68

Step-by-step explanation:

It took me over 15 min to figure out what the answer was. When answering it, you have to be very specific.

Answer:

y = -16.9

Step-by-step explanation:

→Add 0.8y to both sides:

-0.8y + 5.49 = -19.86 - 2.3y

5.49 = -19.86 - 1.5y

→Add 19.86 to both sides:

25.35 = -1.5y

→Divide both sides by -1.5:

-16.9 = y

Answer:

[tex] \boxed{y = - 16.9} [/tex]

Step-by-step explanation:

[tex] = > - 0.8y + 5.49 = - 19.86 - 2.3y \\ \\ = > - 0.8y + 2.3y + 5.49 = - 19.86 \\ \\ = > 1.5y + 5.49 = - 19.86 \\ \\ = > 1.5y = - 19.86 - 5.49 \\ \\ = > 1.5y = - 25.35 \\ \\ = > y = - \frac{25.35}{1.5} \\ \\ = > y = - 16.9[/tex]

Answer:

3

Step-by-step explanation:

The slope of the given line is [tex]\frac{2}{3}[/tex].

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

[tex]= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}[/tex]

Learn more about the slope of a line here:

https://brainly.com/question/19549883

#SPJ2

Answer:

A, B, and C

Step-by-step explanation:

EDGE unit test 2020

The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below

The truth table is known to be a table that depicts the real value of any kind of compound statement.

Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the  input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.

Learn more about Truth table from

https://brainly.com/question/14458200

#SPJ2

Answer:

A triangular prism has two bases and three lateral faces.

A triangular pyramid has one  base and three lateral faces.

Step-by-step explanation:

A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.

A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.

Answer:

So im to lazy to right the answer so just look above me so hows it going?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area for a rectangle is A = LW. We know the area and we also know the length. We are solving for the width.

[tex]112=7\sqrt{x}[/tex] and

[tex]16=\sqrt{x}[/tex]

Siince the width is given as the square root of x, and the square root of x is equal to 16, then the width is 16. Now to find the value of x from the last statement in our equation. If

[tex]16=\sqrt{x}[/tex] and we want to solve for x, we will square both sides, since squaring undoes a square root. Since this is an equation, we have to square both sides.

256 = x

The area of the rectangle is 112 units and the width is 16 units

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

A = 112 units

Let the length of the rectangle be L = 7 units

Let the width of the rectangle be W = √x units

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of the rectangle = 7 √x

7√x = 112

Divide by 7 on both sides of the equation , we get

√x = 16

Taking the square on both sides of the equation , we get

x = 16²

x = 256

Therefore , the value of x is 256

Hence , the width of the rectangle is √x = 16 units

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ2

Answer:

[tex]\boxed{\sf \ \ \ d=6 \ \ \ }[/tex]

Step-by-step explanation:

we know (thanks to Pythagoras) that

[tex]d = \sqrt{5^2+3^2}= \sqrt{25+9}= \sqrt{36}=6[/tex]