Leah predicts that she will need to contribute $7,000 per year for college tuition and already has $4,000 in savings. She is beginning her Junior year in high school and knows she has 2 years to save to pay for her first year. How much does Leah need to put into her savings account each month to pay for her first year?

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

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

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Given:

Of the 50 flips, the coin landed on heads 30 times.

To find:

The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.

Solution:

We have,

Total number of trials = 50

Total number of heads = 30

The experimental probability of flipping heads is:

[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]

[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]

[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]

[tex]\text{Experimental probability}=0.6[/tex]

A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:

[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]

[tex]\text{Theoretical probability}=0.5[/tex]

Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

Answer:

10

Step-by-step explanation:

The highest exponent determines the degree of a polynomial.

Answer:

D

Step-by-step explanation:

A = 4 π r^2

A/(4π) = r^2

r = sqrt(A/(4π))

Answer:

D

Step-by-step explanation:

Given

A = 4πr² ( divide both sides by 4π )

[tex]\frac{A}{4\pi }[/tex] = r² ( take the square root of both sides )

[tex]\sqrt{\frac{A}{4\pi } }[/tex] = r → D

Answer:

150 cm2

Step-by-step explanation:

one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!

Answer:

1 L = 1000 mL

Step-by-step explanation:

B. 260 × 100

Answer:

The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.

Answer:

The volumes of X and Y are equivalent.

Step-by-step explanation:

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

Answer:

Step-by-step explanation:

i am assuming this is  (n+3)^6 if so

729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6

the fifth term is 135x^4

The fifth term of the expression (n + 3)⁶ is 1,215n².

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.

The given expression is,

(n + 3)⁶.

To find the fifth term in the expression,

Use binomial expansion method,

[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]

Use the binomial formula for expression (n + 3)⁶,

[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]

The fifth term of the expression is [tex]^6C_4n^23^4[/tex].

The term [tex]^6C_4n^23^4[/tex] can be simplified as,

[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².

The fifth term of the expression (n + 3)⁶ is 1,215n².

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Answer:

0 is the rational number

Step-by-step explanation:

Yes, 0 is the rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

Answer:

I think 0.8333

Step-by-step explanation:

a rational number has decimals which terminate or repeat,so 0.8333 has decimals which are repeating

Answer:

5) 268.08cm

6)1150.35mi

7)33.51in

8)904.78yd

Step-by-step explanation:

5) V= 4/3πr^3

V=4/3π4^3

V=268.08257

6) r=1/2d

r=1/2(13)

r=6.5

V= 4/3πr^3

V= 4/3π 6.5^3

V=1150.3465

7) V= 4/3πr^3

V= 4/3π 2^3

V=33.510

8)V= 4/3πr^3

V= 4/3π 6^3

V=904.778

Answer:

x=19.88

Step-by-step explanation:

Okay, let's try and create a "table" of what we know, and what we are looking for.

4.5 litres of milk            cost                 89.5 rupees

1 litre                              costs                x rupees

Obviously, we are looking for x.

The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.

If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:

4.5*x=1*89.5

That's our equation, so let's solve for x.

x=89.5/4.5 => x=19.88 , let's say 20 rupees

Answer:

8.07, excluding taxes.

Step-by-step explanation:

7x5.99 = 41.93

50-41.93 = 8.07

Given:

Height of a trapezoidal prism = 10 cm

Base lengths are 3 and 4 cm.

Base height = 2 cm

To find:

The volume of the trapezoidal prism.

Solution:

Base area of a trapezoidal prism

[tex]B=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are base lengths and h is the base height.

Putting [tex]a=3,b=4,h=2[/tex], we get

[tex]B=\dfrac{3+4}{2}\times 2[/tex]

[tex]B=7[/tex]

The volume of a trapezoidal prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]B=7,h=10[/tex], we get

[tex]V=7\times 10[/tex]

[tex]V=70[/tex]

Therefore, the volume of the trapezoidal prism is 70 cubic cm.

Answer:

Step-by-step explanation:

hey watch it fatty

Answer:

A line is the locus of points that: are the same distance from two points. That's the equation for a line.

Step-by-step explanation:

hope its help

Answer:

A line is the locus of points that: are the same distance from two points.

Step-by-step explanation:

Answer:

45.) 49.) V=LBH

Step-by-step explanation:

V= 15

5*3*1=15

V= 891

11*9*9

Answer:

41,400 ft per second

Step-by-step explanation:

1 minute is 60 seconds.

x = ft per second

Ratio:

[tex]\frac{690}{1} =\frac{x}{60} \\\\x=41400[/tex]

Answer:

30000

Step-by-step explanation:

200x10x15=30000

Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

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Answer:

a. $6 =  ($500 + $2q) / q

b. 125

Average cost =  ($500 + $2q) / q

($500 + $2x 125) / 125 = $6

Step-by-step explanation:

Average cost = total cost / quantity produced

total cost = fixed cost + variable cost

Fixed costs are costs that do not vary with output. e.g. the cost of the logo

Variable costs are costs that vary with production e.g. cost of printing and cutting

Variable cost = $2 x quantity of parking ticket sold

let q =  quantity of parking ticket sold

variable cost = 2q

$6 = ($500 + $2q) / q

to determine the number of parking ticket to be sold for average cost to be $6, take the following steps

Multiply both sides of the equation by q

6q = 500 + 2q

collect like terms

6q - 2q = 500

4q = 500

q = 125

125 tickets have to be sold for average cost to the $125

to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost

($500 + $2q) / q

($500 + $2x 125) / 125 = $6

Answer:

C

Step-by-step explanation:

x+8+2x+4=90

3x+12=90

3x=78

x=26

Answer:

t=20

Step-by-step explanation: