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3 years ago

Arithmetic series HELP PLEASE

Mathematics

2 answers:

KIM [24]3 years ago

5 0

Answer:

5050

Step-by-step explanation:

∑_{n=1 to 50} (4n-1)

a1=4×1-1=3

a2=4×2-1=7

a3=4×3-1=11

......................

a50=4×50-1=199

n=50

Sn=n/2(a1+an)

S50=50/2(3+199)=50/2×202=50×101=5050

otez555 [7]3 years ago

3 0

Put the value of n from 1 to 50 in 4n-1

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Can someone please help me find the simple interest

Stells [14]

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3 years ago

They're usually 365 days in each year every 4th year is call a leap year and has one extra day in February how many days are the

Mariana [72]

Answer:

Total number of days in 8 years is 2,922 days.

Step-by-step explanation:

Number of days in a Normal year = 365 days

Number of days in a leap year = 366 days

Also, Leap year comes exactly ONE TIME in every FOUR YEARS.

⇒ In every consecutive 4 years, 1 year is a leap year.

⇒ So, number of leap years in 8 years = 2

Now, 8 Years = 6 Normal years + 2 leap Years

Number of days in 6 normal years

= 6 x ( Number of days in a regular year)

= 6 x (365 days) = 2,190 days

Number of days in 2 leap years

= 2 x ( Number of days in a leap year)

= 2 x (366 days) = 732 days

So, Total number of days in 8 years

= Number of days in 6 regular years + Number of days in 2 leap years

= 2,190 days + 732 days

= 2,922 days

Hence, total number of days in 8 years is 2,922 days.

5 0

3 years ago

Okay i need some help fast

Troyanec [42]

Answer:

Dimensions : 1 by 1 by 2 feet,

Volume ⇒ 2 ft^3

Step-by-step explanation:

Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;

I can tell that these types of boxes have height and width as the same lengths, so given that;

Dimensions : 1 by 1 by 2 feet,

Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3

In other words, Volume ⇒ 2 ft^3

6 0

3 years ago

What two variables are likely to have a negative correlation

kogti [31]

Answer:

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

Step-by-step explanation:

Explanation:-

Negative correlation:-

The negative correlation is a relation between two variables such that they are part of a function in which depends and independent variables move in different directions in terms of value.

Positive correlation

The variable x - value increases as y- value increases is called positive correlation.

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

No correlation

There is no pattern between two variables

there is no connect between two variables is called No - correlation

6 0

3 years ago

Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.

hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the length of the unknown side (PR)

q² = p² + r² - 2prCos Q

q is the opposite side of ∠Q;

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² - 2* 33*67 Cos 19°

= 1089 + 4489 - 4422 * 0.95

= 1089 + 4489 - 4200.9

= 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

$\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}$

Sin P = 0.3

$P = Sin^{-1} 0.3\\$

P = 17.5°

∠R = 180 - (19 + 17.5)

= 143.5°

6 0

2 years ago