PLEASE HELPPP I WILL GIVE BRAINLIEST

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d

The formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a[tex]_{n}[/tex] = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S[tex]_{n}[/tex] = 185

→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above

∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)

Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

Answer:

2

Step-by-step explanation:

In 5 + In x = 1

In 5 + In x = In 10 (Because In 10 = 1)

In(5x) = In 10

5x = 10

x = 10/5

x = 2

Answer:

thx this really helps

Step-by-step explanation:

Answer:

x = 4

y = 10

Step-by-step explanation:

7x - 3 = 25

7x = 28

x = 4

12y + 35 = 155

12y = 120

y = 10

Hey there!

There are actually a few possible equations, but I will choose these:

FOR X:

7x - 3 = 25

7x = 28

x = 4

FOR Y:

12y + 35 = 155

12y = 120

y = 10

Hope it helps and have a great day!!

Step-by-step explanation:

Case 1 :

[tex]3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x = \frac{6 - 2y}{3} = \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) + y = 2 \\ 8 - \frac{8y}{3} + y = 2 \\ - 1.67y = - 6 \\ [/tex]

[tex]y = 3.59 \\ x = 2 - \frac{2y}{3} \\x = 2 - \frac{2 \times 3.59}{3} \\ \\ x = - 0.39[/tex]

Case 2 :

[tex]3x + 2y = 6 \\ 4x - y = 2 \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) - y = 2 \\ 8 - \frac{8y}{3} - y = 2 \\ - 3.67y= - 6 \\ y = 1.63[/tex]

[tex]x = 2 - \frac{2y}{3} \\ x = 2 - \frac{2 \times 1.63}{3} \\ x = 2 - 1.087 \\ x = 0.913[/tex]

I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

11w+21

I hope this helps with your question :)

Answer:

[tex]11w + 21[/tex]

Step-by-step explanation:

First, expand the brackets

Then, add the same variables

That's the answer!

Hope this is correct and helpful

If there's any questions please don't hesitate to ask

HAVE A GOOD DAY!

Answer:

x≥2

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

10x+5−5≥25−5

10x≥20

Step 2: Divide both sides by 10.

10x /10 ≥ 20 /10

HOPE IT HELPS

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Answer:

a = 1

b = 9

c = 23

d = 15

Step-by-step explanation:

Expand it out:

(x^2 + 4x + 3)(x+5)

(x^3 +4x^2 +3x + 5x^2 + 20x + 15)

=x^3 + 9x^2 + 23x +15

Answer:

$1,053.50

Step-by-step explanation:

First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Answer:

Given: 3x+5+ 7x +2

Step-by-step explanation:

= 3x + 5 + 7x + 2

= 10x + 7

Answer:

x = 21

Step-by-step explanation:

2x and 42 are alternate angles and are congruent, so

2x = 42 ( divide both sides by 2 )

x = 21

Answer:

Rectangle

Step-by-step explanation:

Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.

hope this helped, have a great day :)

Answer:

Rectangle

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

Answer:It's composite

Step-by-step explanation:It's composssssiiiiitttteeeee

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

Answer:

i think it is 23

Answer:

i will respect the points

Step-by-step explanation: