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3 years ago

If n is the term, what is the first integer value of n where the sequence 2n² is greater than 50?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

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Janelle draws line segments AB and BC in the same plane such that AB = 8 cm and BC = 6 cm. Then Janelle draws

Dovator [93]

Answer:

Step-by-step explanation:

• AB, BC, and AC form a triangle. Enter a possible value of AC....

So it asks for only a possible value of AC as there are many possible values.

Given AB = 8 cm and BC = 6 cm, they are in the ratio of 3:4.

Line segments of 3, 4 and 5 length will form a right-angled triange.

A possible value of AC = 5*2 = 10cm

• Points A, B, and C lie on the same line, and C lies between A and B.

So AC+CB = AB

AC+6 = 8

AC = 2cm

Enter this value of AC in the second

response box.

4 0

3 years ago

Read 2 more answers

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

3 years ago

Triangle ABC is similar to triangle LMN by the similarity postulate

likoan [24]

Answer:

Same as Angle B. 90 degrees.

Step-by-step explanation:

If triangles are similar then they have the exact same angle measures. Angle m will have the same value as angle B. If angle B's measure is not found, then find it by adding angle A and angle C together and subtract from 180.

The picture is cut off but if A =60 and C=30 then 60+30=90 and 180-90=90. Angle B and M are both 90 degrees.

7 0

3 years ago

7th grade math help me pleasee

Verizon [17]

Your Answer is Two 2

8 0

3 years ago

!!!HELP AS SOON AS POSSIBLE!!! Simplify: -2/9 divided by 3 1/4

ohaa [14]

<h3>Answer: the fraction -8/117</h3>

----------------

First, convert to an improper fraction

3 & 1/4 = 3 + (1/4)

3 & 1/4 = (12/4) + (1/4)

3 & 1/4 = 13/4

The mixed number 3&1/4 turns into the improper fraction 13/4

---------------

-2/9 divided by (3&1/4) = -2/9 divided by 13/4

To divide two fractions, you flip the second one and then you multiply

"-2/9 divided by 13/4" turns into "-2/9 times 4/13" after this happens

Then you multiply straight across. The numerators stick together. The denominators stick together.

numerators: -2*4 = -8

denominators: 9*13 = 117

We end up with the fraction -8/117

This cannot be reduced as there are no common factors (other than 1) between 8 and 117.

6 0

3 years ago