Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.

2
6
10.25
36

Evaluate 6a-b^2/2 + (b/a)^2 If A = 2 And B = 4.2610.2536

Answers

Answer 1

[tex] \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} [/tex]

a=2 b=4

[tex] \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} [/tex]

[tex] \frac{12 - 16}{2} + \frac{16}{4} [/tex]

[tex] \frac{ - 4}{2} + 4 [/tex]

[tex] - 2 + 4 = 2[/tex]

answer is option a 2

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Related Questions

work out the value of v°​

Answers

Answer:

v+91=180(being co-interior angle)

v=180-91

v=89,

Answer:

Step-by-step explanation:

v°+120°+91°+(180°-155°)=360°

v°+236°=360°

v°=360°-236°

v°=124°

Pls please help me ASAP!!!

Answers

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

Rewrite the following mathematical statement in your own words

Answers

Answer:

a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a

f: M ⇒ N is a function from M to N.

Given,

f: M ⇒ N

We need to describe this mathematical statement in our own words.

What is a function?

A function is defined as a way where there is an input that it takes and produces an output.

The set from where the inputs come is called the Domain.

The set of outputs is called the Range.

We have,

f: M ⇒ N

Here

f is a function that takes input from the set M and its output belongs to set N( Natural number).

Here,

M is called the domain.

N is called the codomain.

Thus f: M ⇒ N is a function from M to N.

Learn more about function here:

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Write in exponential form
ахахахахаха

Answers

Answer:

the exponential form of this is a to the power 6

I.e a⁶

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Un parque tiene una piscina en forma circular de 22 yd de diámetro. Un sendero en forma anular rodea la piscina. El sendero mide 6 yd de ancho. El sendero necesita una nueva capa de revestimiento. Si un galón de revestimiento cubre 4 yd2 ¿cuantos galones de revestimiento se necesitan?

Answers

Answer:

La verdad Nose la respuesta espero que alguien te ayude

Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***

Answers

Answer:

1) 4900 is square

2) The greatest common factor 30 and 126 is 6.     The GCF of 126 and 39204 is 18

3) i) 44100 ii) 48024900

A banquet room has been set up with 10 tables that each have 8 seats. If 78 people show up for the banquet, how many empty seats will there be?

Answers

There would be 2 empty seats.

Explanation:

If we multiply 10x8 we would get 80. If 78 people show up, we would subtract 78 from 80 and our answer would be two.

What is the long division answer for 19 on the outside (left) and 66 on the inside (right)?

Answers

Answer:

the answer is irrational (goes on forever) ... look at image...

I assume that the answer that you were to provide is

3 R 9 (3 remainder 9 )

or

[tex]3 \frac{9}{19}[/tex]

Step-by-step explanation:

The ratio of Tahlia's wage to Brooke's wage is 5: 6. Brooke earns $915.60 per week. How much does Tahlia earn???​

Answers

Answer:

Step-by-step explanation:

5/6 = tahlia / brook

5/6 = x / 915                 Multiply both sides by 915

5*915/6 = x

4575 / 6 = x

x = 762.50

Find the area of this circle please…Use 3 for pi

Answers

9514 1404 393

Answer:

  432 ft²

Step-by-step explanation:

The radius is half the diameter.

  r = (24 ft)/2 = 12 ft

Put the given numbers into the formula and do the arithmetic.

  A = πr²

  A = (3)(12 ft)² = 432 ft²

What is the correct order of steps for copying angle ABC?

A. Create point H at the intersection of the arcs created from point D, and draw a ray from point D through point H.
B. Draw a ray with the endpoint D, and place the compass on point B.
c. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G.
D. Keeping the compass at the same width, place it on point G, and swing an arc that intersects the arc created from point D.
E. Open the compass to the distance between points E and F
F. Swing an arc that intersects rays BA and BC that creates point E on BA and F on BC.

1) AFCEDB
2) BFCEDA
3) AFCBDE
4) BFDECA

Answers

Answer: BFCEDA i took the test and got it right

Step-by-step explanation:

The correct order of steps for copying the angle ABC is BFCEDA.

What is copying the angle?

The process of copying an angle through construction involves ensuring that the distance between the two rays forming the angle is the same.

The steps which are required for copying the angle are:

Draw a ray, of the copy of the angle as a ray with an endpoint, D.In the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, r.Place the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point G.Place the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EF.Place the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the construction.

Hence, the correct order of steps for copying the angle ABC is BFCEDA.

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round off 7284 to 1sf​

Answers

Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

Round off 7284 to the 2sf and see what u get

Help me please thank you

Answers

The answer is 19 due to the pattern increasing in one for each number

Answer:

19, 25, 32

Step-by-step explanation:

Find the difference within each number:

5 -> 7: + 2

7 -> 10: + 3

10 -> 14: + 4

With each difference, + 1 is added so we can infer the next difference will be + 5.

14 + 5 = 19

Next is + 6.

19 + 6 = 25

Now + 7.

25 + 7 = 32

12a+5b-3c, 6c-5a+8b, -8b+5c-7a​

Answers

Answer:

11c-12a

Step-by-step explanation

Combine like terms

The answer is 11c-12a

Two mechanics worked on a car. The first mechanic worked for 10 hours, the second mechanic worked for 5. Together they charged a total of 950$ What was the rate charged per hour by each mechanic if the sum of the two rates was 125$ per hour?

Answers

Answer:

Step-by-step explanation:

Let x = the hourly rate of the first mechanic and

     y = the hourly rate of the second mechanic.

As far as the equation goes for the total amount charged:

10x + 5y = 950

As far as the equation goes for the sum of the 2 mechanics' rates:

x + y = 125

Solve the first equation for either x or y. I solved for y:

y = 125 - x

Now plug that into the first equation for y to get:

10x + 5(125 - x) = 950 and

10x + 625 - 5x = 950 and

5x = 325 so

x = 65

The first mechanic charges $65 per hour and the second mechanic charges

y = 125 - 65 so

the second mechanic charges $60 per hour.

The y-intercept of the line with equation 8x-4y=12

Answers

Answer:

y- intercept, x=0

8(0)-4y=12

y=-3

3 to the power of 2 divided by 3 plus 2 to the power of 2 times 7 minus 20 divided 5

Answers

Answer:

3^2/3+2^2x7-20/5

Do inverse operations first.

9/3+28-4

3+28-4

Answer = 27

Step-by-step explanation:

cual es la rais cuadrada de 2000

Answers

Is it 44.721359549996

What is the square root of 81 as a fraction?

Answers

Answer: 9/1

Step-by-step explanation:

Which terms must be removed from 1/2 + 1/4 + 1/6 + 1/8 + 1/10 + 1/12 if the sum of the remaining terms is to equal 1?

Answers

1/4

Step-by-step explanation:

0.5+0.25+0.17+0.13+0.1+0.1=1.25

Find the 7th term of the geometric sequence shown below
10x^3, 40x^8, 160x^13,…

Answers

Answer:

[tex]a_7=40960x^{33}[/tex]

Step-by-step explanation:

Geometric sequence has explicit form:

[tex]a_n=a \cdot r^{n-1}[/tex] where [tex]a[/tex] is first term and [tex]r[/tex] is the common ratio.

First term here is [tex]a=10x^3[/tex] and [tex]r[/tex] could be found by doing second term divided by first term, [tex]\frac{40x^8}{10x^3}=4x^5[/tex].

Therefore the [tex]n[/tex]th term is given by

[tex]a_n=10x^3 \cdot (4x^5)^{n-1}[/tex].

So the [tex]7[/tex]th term is given by

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex].

Let's simplify:

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex]

[tex]a_7=10x^3 \cdot (4x^5)^{6}[/tex]

[tex]a_7=10x^3 \cdot (4^6(x^5)^6)[/tex]

[tex]a_7=10x^3 \cdot (4096x^30)[/tex]

[tex]a_7=40960x^{33}[/tex]

4 cm
10 cm
7 cm
12 cm
What is the area of the figure

Answers

Answer:

33cm

Step-by-step explanation:

add all

numbers..........................

Step-by-step explanation:

a fruitseller bought 50 kg of fruits. he sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quantity for the cost price of 16 kg of fruits. calculates his profit and loss percent in the total transactions​

Answers

Step-by-step explanation:

let the price of fruits be X per kg

cp of 50kg of friuts =50x

he sells 30kg of fruits on its cp of 35 kg

cp of 30kg fruits=30x

sp of 30kg fruits=35x

remaing fruits is 20kg

he sells 20kg of fruits on cp of 16kg

cp of 20kg fruits=20x

sp of 20kg fruits =16x

total cp is =50x

total sp is =(35+16) =51x

sp>cp(it means profit)

profit =sp-cp

=51-50

= 1

profit%=gain/cp × 100

= 1/50×100

=2%

                                         Thank you

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Geometry
Topic: Measure Angles

Answers

Answer:

BOC = 42

Step-by-step explanation:

90 = 6z - 6 + 5z + 8

Combine common factors

90 = 11x + 2

Subtract 2 from both sides

88 = 11x

Divide both sides by 11

8 = x

Plug in 8 for x

6(8)- 6

48 - 6

42

HELP RN PLS
simplify (4^3)^5

Answers

Answer:

(4^3)5 = 4^15

hope this helps

Step-by-step explanation:

How would the expression (x^2 + 1)(y^2 + 4) be rewritten using Two Squares?
O A. (xy– 2)^2 - (4x+y)^2
B. ( xy- 2)^2 +(2x+y)^2
C. (xy+2)^2 +(x+2y)^2
D. (xy-2)^2+(x+2y)^2

Answers

D (xy-2)^2+(x+2y)^2 thats the answer bro

The expression [tex](x^2 + 1)(y^2 + 4)[/tex] can be rewritten using Two Squares as [tex](xy-2)^2+(x+2y)^2[/tex]. The correct option is D.

What is Two Squares?

The Two Squares identity is a special case of the identity: [tex](a^2 + b^2) = (a + b)^2 - 2ab[/tex].

This identity can be used to factorize certain expressions involving squares of variables.

By using the Two Squares identity, we can rewrite expressions in the form of a sum of two squares as a difference of squares, or vice versa. This can be useful in simplifying and solving equations in algebra.

We can use the Two Squares identity, which states that:

[tex](a^2 + b^2)(c^2 + d^2) = (ac - bd)^2 + (ad + bc)^2[/tex]

Comparing with the given expression, we can see that a = x, b = 1, c = y, and d = 2. Substituting these values into the Two Squares identity, we get:

[tex](x^2 + 1)(y^2 + 4) = (xy - 2)^2 + (x + 2y)^2[/tex]

Therefore, the answer is (D) [tex](xy-2)^2 + (x+2y)^2.[/tex]

For more details regarding two square identity, visit:

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Find the value of
x for which ABCD
must be a
parallelogram.
24
2
6
12

Answers

Answer:

2

Step-by-step explanation:

Intersection point of diagonals is the mid point of each diagonal.So,

2x+8=6x

6x-2x=8

4x=8

x=8/4

x=2

Answer: x = 2

Concept:

There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.

Diagonals of a parallelogram bisect each other.

Solve:

Given information

One side of the diagonal = 6x

The other side of diagonal = 2x + 8

Given expression deducted from the property of parallelogram

One side = Other side

Substitute values into the expression

6x = 2x + 8

Subtract 2x on both sides

6x - 2x = 2x + 8 - 2x

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

[tex]\boxed{x=2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the product of ¼, -½ and -¾?

a
0.0934
b
-0.6543
c
-0.09357
d
0.09375

Answers

Answer:

d. [tex]\displaystyle 0,09375[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{32} = [-\frac{3}{4}][-\frac{1}{2}][\frac{1}{4}] \\ \\ 0,09375 = \frac{3}{32}[/tex]

All you are doing is multiplying straight across!

I am joyous to assist you at any time.

Simplify. Express your answer as a single term using exponents.
1224. 1227

Answers

Answer: Um

Step-by-step explanation:

convert the following. a 1 day into second b 6.86 km into m ​

Answers

Answer:

a. there are 86400 seconds in a 24 hour day

b. to convert a km to a m you say

1000m is equivalent to 1 km

1000m:1km

x:6.86

x=6860m

I hope this helps

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