Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
​

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

Answer:

Step-by-step explanation:

Use a simple interest formula.

Simple interest formula:

→ 2000*4.6%4

You have to convert 4.6% into a decimal form.

→ 4.6%=0.046

→ I=2000*0.046*4

Solve.

Multiply the numbers from left to right.

→ 2000*0.046*4=368

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 87

Step-by-step explanation:

  The range is the largest data value minus the smallest data value.

95 - 8 = 87

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

Answer:

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Step-by-step explanation:

To see if they are equivalent to each other, we first need to simplify the first expression:

5 + 3(1 - x)

Distribute the 3 into the parenthesis:

5 + 3 -3x

Combine like terms:

8 - 3x

No, 5 + 3(1 - x) is NOT  equivalent to 8 - 8x.

Answer:

i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9

just blue- $1.50

just orange- $1.50

just black- $3

just green- $3

red=$0

Answer:

A (3/16)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

The spinner is evenly divided and numbered from 1 through 8.

[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]

There are 4 even numbers (2, 4, 6 and 8)

[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]

There are 3 numbers less than 4 (1, 2 and 3)

[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]

Therefore, the probability of landing of an even number and then on a number of less than 4 is:

[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Answer:

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

I hope this helps! Have a good day! :)

The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing image for this problem is attached below.

For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:

[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]

(rounded to the nearest tenth, which is first place to right of the decimal point.

Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

Learn more about volume of a cone here:

https://brainly.com/question/26093363

This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.

Step-by-step explanation:

REFER TO THE ATTACHMENT

HEY IN WHICH CLASS YOU ARE ROSA

Answer:

my answer is 7.5

Step-by-step explanation:

let me know if I'm incorrect

Answer:

First find the inner angle:

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

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

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

Answer:

it is D. and A.

Step-by-step explanation:

um because

Answer:

15 points

Step-by-step explanation:

12 divied by .25 =3

so there for it would be 15 points

Answer:

The answer is 15 points. Have a great day:)

Answer:

x > -2.

Step-by-step explanation:

Starts at x = -2 then carries on without bounds.

Answer:

x > –2

Step-by-step explanation:

The answer above is correct.

The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters

Given Data

Since the shape of the land is that of a square

All the sides will be 700 meter

Dividing the land into two pieces, the side will be

700, 700, 850

hence the length of fence needed to cover the land is

Perimeter = 700+700+850

Perimeter = 2250 meters

Learn more about perimeter here:

https://brainly.com/question/24304697

Answer:

A. Perimeter

B. Sides

D. Area

Step-by-step explanation:

Suppose a triangle ABC has sides each of length a

formula:

The altitude of the triangle h equal to :

[tex]h=\frac{\sqrt{3}}{2} a[/tex]

________

Perimeter:

Let’s P be the perimeter of the triangle ABC then P = 3a

[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]

P/h is a constant then The perimeter has a proportional relationship to the altitude

______

Sides :

[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]

h/a is a constant then The side has a proportional relationship to the altitude

______

Area :

Let A be the area of the triangle

[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]

A/h is a constant then The area has a proportional relationship to the altitude

_____

Angles :

The measure Of each angle of an equilateral triangle is always equal to 60°

60/h is not a constant then there is no proportional relationship

______

Vertices:

The vertices are points and not numbers so there is no proportional relationship.

Answer:

62.83

nearest tenth 62.8

Answer:

98 m

Step-by-step explanation:

The formula of the volume is ↓

Length × width × height

= 7 × 7× 2

= 98 m

Answer:

Lilit- 17 candles

Sergio- 19 candles

Step-by-step explanation:

this is the most probable answer.

Answer:

It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.

Answer:

I belive it should be # 3 i might be wrong thow.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.

the answer is Car 2

Step-by-step explanation:

I think the expression is

(4x² + 9x - 7) - (-7x² + 5x - 1)

and that is the same as

4x² + 9x - 7 + 7x² - 5x + 1 =

= 11x² + 4x - 6

remember that the combination of two '-' signs turns this into one '+' sign.

to subtract a negative number is indeed the same as adding a positive number with the same absolute value.

Answer:

(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x

Thus, The answer is

3 × 3 × x × x × x × x × x × x

Answer:

3 * 3 * y * y * y * y * y * y

Step-by-step explanation:

(3y³)²

Multiply 3 by 3 and y six times

3 * 3 = 9

y * y * y * y * y * y

The answer should be

3 * 3 * y * y * y * y * y * y

I hope this helps!

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.

x

=

2

,

−

4

You can expand these and find the answer :

[tex]4^{6} : 4^{2} = 4.4.4.4.4.4 :4 : 4 = 4.4.4.4.(4:4).(4:4) = 4.4.4.4.1.1 = 4.4.4.4 = 4^{4}[/tex]

Basically, to simplify this, the only thing you have to do is minus the powers if divided, and add the powers of multiplied.

the length of the key will be 3 inched long because it is laying horizontally

Answer:

maybe its e(1/y)

Answer:

it should be e(1/y)