help this is frustrating

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:

Eg would be 10.6 because its the same length as EF

Answer:

8.6?

Step-by-step explanation:

if it's a right angle an the exact same thing on the other side, than wouldn't you just add 4.3 + 4.3?

Answer:

B and C are volume

A = area/perimeter

D = Perimeter

E = surface area

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: 65.8

Step-by-step explanation:

First multiply 10 x 2=20

then you add 82 and 3.8 which is 85.8

then you subtract 20 from 85.8 and you get 65.8

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:

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

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

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

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: See explanation

Step-by-step explanation:

From the question, we are informed that Richard Brian puts $30 worth of gas in his truck and the price per gallon was $2.50.

The equation that can be solved to find the number of gallons Richard Brian's purchased will be the worth of gas in the truck divided by the price per gallon. This will be:

x = 30 / 2.50

where x = number of gallon.

= 12 gallons

Answer:

x<2

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Y is a complete collection of all what the web is expected to be with the elements having atomic the

Answer:

All answers in explanation...

Step-by-step explanation:

16: S = more shoes than Ruben   10+s

17: M = money spent on dinner  M-5

18: M = Mary's ringtones   3 + 2M

19: C = cost S= shoe rental    C = S + (3*4)

20:  C= cost   C + 12.75 + (4 * 3)

Hope this helps :)

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

#SPJ6

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:

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:

He can plant 10 trees in 2 hours.

Step-by-step explanation:

First you need to find the number of trees he can plant in an hour.

For this purpose, we will divide 40 by 8 to get an idea about how many he can plant in an hour.

Trees planted in an hour = 40/8 = 5

Now for 2 hours = 5*2 = 10 trees.

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:

5

Step-by-step explanation:

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:

thx this really helps

Step-by-step explanation:

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: 10.4

Step-by-step explanation:

Let the number that Colin is thinking of be represented as x.

We are informed that Colin halves the number and gets an answer of 5.2. This can be written as:

x ÷ 1/2 = 5.2

0.5x = 5.2

Divide through by 0.5

0.5x/0.5 = 5.2/0.5

x = 10.4

The number is 10.4

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:

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)