PLEASE HELP ILL GIVE BRAINLIEST!!!!

        Hence, The Value of:  a^2   +   b^2   is  18

        b  =  1/a  =  1/ 2 + √5

        b  =  1/2 + √5  *   2 - √5/2 - √5

            =     2  - √5/1

        b  =  2  -  √5

       a^2    =  (2  +  √5)^2    =  4  +  4√5  +  5

       b^2    =  (2   -  √5)^2    =  4   -  4√5  +   5

        a^2   +  b^2   =   4  +  4√5  +  5  +  4  -  4√5  +  5

                              =   18  -  3√5

        4    +  5     +  4  +  5

        9    +   4     +   5

       13   +   5   =   18

        a^2  +  b^2       =   18                

        a^2  =  18   -  b^2

        a  =  ± √18  -  b^2

        a  =  √18     -  b^2

        a   =  -√18   -  b^2

        Hence, The Value of:  a^2   +   b^2   is  18

I hope this helps you!

The ratio that describes the number of baskets the player made to the number of baskets the player attempted is 9:15. This can be simplified to 3:5.

The ratio of the number of baskets made by the player to the number of baskets attempted is 9/15. This ratio can be simplified to 3/5, which means that for every 5 baskets attempted, the player made 3 baskets. This ratio can also be expressed as a percentage by dividing the number of baskets made by the number of baskets attempted and multiplying the result by 100%. In this case, the percentage of baskets made by the player is 60% (9 baskets made / 15 baskets attempted * 100% = 60%). This means that out of every 100 baskets attempted by the player, he made 60 baskets.

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Answer:

i think the answer is A

Step-by-step explanation:

Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

Answer:

B

Step-by-step explanation:

The absolute value function always gives a positive result

However, the expression inside can be positive or negative

| 2x - 4 | = 10

2x - 4 = 10 ← positive expression

2x - 4 = - 10 ← negative expression

Solving both gives

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

and

2x - 4 = - 10 ( add 4 to both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

The correct option is option B i.e., 2x−4 = 10 and 2x−4 = −10 and the values will be x = 7 and x = -3 respectively.

It is given that an equation is | 2x - 4 | = 10 .

We have to write two equations to solve this equation.

What are the algebraic expressions ?

The algebraic expressions are the combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

As per the question ;

The absolute value function always gives a positive result but the expression inside can be positive or negative.

i.e.,

| 2x - 4 | = 10 can be written in the form of ;

2x - 4 = 10 which is the positive expression.

2x - 4 = - 10 which is the negative expression.

Solving both gives ;

2x - 4 = 10

2x = 10 + 4

2x = 14

or

x = 7

and

2x - 4 = - 10

2x = -10 + 4

2x = - 6

or

x = - 3

Thus , the correct option is option B i.e., 2x−4 = 10 and 2x−4 = −10 and the values will be x = 7 and x = -3 respectively.

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The diagram is a parallelogram.

from the properties of a parallelogram, opposide are equal. Hence

|AD|=|BC|,

Where |AD|=2x and |BC|=6

Answer:

the number of boxes that would take fill

the storage completely is 60 boxes.

Step-by-step explanation:

given:

A storage unit has the dimensions 6 ft. x 7 1/2 ft. x 4 1/2 ft.

find:

What number of

1 1/2 ft. x 1 1/2 ft. x 1 1/2 ft. cardboard boxes would it take to completely

fill this storage unit?

Volume of a storage unit = 6 x 7.5 x 4.5

Volume of a storage unit = 202.5  ft³

Volume of a cardboard box = 1.5 x 1.5 x 1.5

Volume of a cardboard box = 3.38 ft³

to get the number of cardboard boxes to fill in the storage unit,

Number of boxes =     202.5 ft³    

                                     3.38 ft³

Number of boxes = 60

therefore,

the number of boxes that would take fill the storage completely is 60 boxes.

Answer:

P = 40 m

A = 100 m²

Step-by-step explanation:

(10√2)² = 200

200/2 = 100

side length = √100 = 10 m

P = 10 x 4 = 40 m

A = 10 x 10 = 100 m²

Answer:

7 divided by 2

Step-by-step explanation:

I say 7 divided by 2 because if you round 6 3/4 up one you will get 7 and if you round 1 2/3 up one you get 2 so 7 divided by 2 makes most sense

Answer:

16ᵗʰ Term of the sequence is 1010

Step-by-step explanation:

7.)

Here,

First Term = a₁ = 5

Common Difference = d = 67

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 5 + (16 - 1) 67

a₁₆ = 5 + 15 × 67

a₁₆ = 5 + 1005

a₁₆ = 1010

Thus, 16ᵗʰ Term of the sequence is 1010

-TheUnknownScientist

Answer:

50v

Step-by-step explanation:

The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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Answer:

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

Use Pythagorean theorem and find the length of the hypotenuse r:

The value of r is 9.43 units.

Answer:

Hi

Please mark brainliest

Step-by-step explanation:

1.46 × 10^-2 = 0.0146

Answer:

34/9 or 3 7/9

Step-by-step explanation:

to do this u must turn 5 2/3 into an improper fraction first

5 2/3 is also 17/3

to divide you can multiply the first number by the second numbers reciprocal or flipped numbers

17/3 * 2/3

you flipped 3/2 to make it 2/3

for 17/3 * 2/3 just multiply across

34/9

then you can make that a mixed number

3 7/9

that is your answer

Answer:

the answer is 3 7/9

Step-by-step explanation:

in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9

♡--------------------------------------------------♡

The correct option is C, The given graph represents the rational function   \(\frac{1}{(x-1)(x-2)}\).

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Upon solving the given function,

\(\frac{1}{(x-1)(x-2)}\),

As, it is clear from the function that the value of x cannot be 1 or 2,

So,

The graph doesn't lie on x = 1 or x = 2.

So, it is the correct option.

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Answer

59.5

Step-by-step explanation:

This is what I think!

In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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The polynomial q(x) = x² - 1 spans the kernel of the linear transformation T: P2 → R³, and T is onto since any vector [a, b, c] in R³ can be represented as [P] for some polynomial P(x) in P2.

To find the polynomial q, we need to find the null space of T.

To prove that T is onto, we need to show that the range of T is equal to the codomain.

Let us start by defining the linear transformation T: P2 → R³ where T(P) = [P], and P is a polynomial of degree at most 2. The vector space P2 consists of all polynomials of the form P(x) = ax² + bx + c, where a, b, and c are constants.

To find a polynomial q in P2 such that Span{q} is the kernel of T, we need to find a non-zero polynomial q(x) such that T(q) = [q] = 0. In other words, we need to find a non-zero polynomial q(x) such that q(x) has a repeated root.

Let q(x) = x² - 1. Then, T(q) = [q] = [x² - 1] = [1, 0, -1]. Since [1, 0, -1] ≠ 0, q(x) is a non-zero polynomial and Span{q} is the kernel of T.

To prove that T is onto, we need to show that for any vector [a, b, c] in R³, there exists a polynomial P(x) in P2 such that T(P) = [P] = [a, b, c].

Let P(x) = ax² + bx + c. Then, T(P) = [P] = [ax² + bx + c] = [a, b, c] if and only if P(x) has coefficients a, b, and c.

To find such a polynomial, we can solve the system of equations:

a + 0b + 0c = a

0a + b + 0c = b

0a + 0b + c = c

which gives us a = a, b = b, and c = c. Therefore, any vector [a, b, c] in R³ can be written as [P] for some polynomial P(x) in P2, and T is onto.

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The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Answer:

the slope = 5x

y-intercept = 10

y represents the number of baskets of berries the picked

Step-by-step explanation:

i'm sorry i can't read the last one and my comp won't let me zoom as well as it's kinda blurry so i answered the ones i could

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

Closing costs are fees paid at the closing of a real estate transaction. Typically home owners will pay between 2 to 5 percent of the purchase price of their home in closing fees. So, if your home cost $150,000, you might pay between $3,000-$7,000 in closing costs.

A Condorcet election is a voting system where each candidate is compared head-to-head against every other candidate. The candidate who wins the majority of these head-to-head comparisons is declared the winner. To determine the winner, we need to compare each pair of candidates based on the preferences given in the table.

1. Brent vs. Chad: Since 9 voters prefer Brent over Chad, and only 4 prefer Chad over Brent, Brent wins this comparison.
2. Brent vs. Ralph: 9 voters prefer Brent over Ralph, while 5 prefer Ralph over Brent. Brent wins again.
3. Brent vs. Dave: 13 voters prefer Brent over Dave, while only 1 prefers Dave over Brent. Brent wins once more.
4. Chad vs. Ralph: 4 voters prefer Chad over Ralph, but 9 prefer Ralph over Chad. Ralph wins this comparison.
5. Chad vs. Dave: 4 voters prefer Chad over Dave, while 9 prefer Dave over Chad. Dave wins this comparison.
6. Ralph vs. Dave: 5 voters prefer Ralph over Dave, but 9 prefer Dave over Ralph. Dave wins this comparison.

Based on the results, Brent wins all his head-to-head comparisons, making him the Condorcet winner. In this Condorcet election, Brent will be elected as the resident assistant for the residence hall.

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Answer: Z=21, Y=9, X=1

Step-by-step explanation:

Z---------

Since 3z and 63 are equal angles, then 3z must equal 63 as well. So 3 times what is 63? 3 times 21. Z=21.

X------1

2 times 1 is 2.

3 times 1 is 3. 3-1 is 2.

x=1

Y----

Same concept as Z. Since the length 13 and Y+4 are equal sides (definition of the kite figure I forget the proper name) then 13-4 is your answer. 9.

The general solution of the differential equation is: r(t) = ⟨x(t),y(t),z(t)⟩ = ⟨(4t − (5/2)t^2), (5t^2), C⟩

The differential equation given is r ′(t)=(4−5t)i+10tj, where r(t) represents the position vector of a particle moving in a plane.

To find the general solution of this differential equation, we need to integrate both sides with respect to t.

Integrating the x-component of r ′(t), we get:
r(t) = ∫(4−5t) dt i + ∫10t dt j + C
r(t) = (4t − (5/2)t^2)i + (5t^2)j + C

where C is a constant of integration.

Therefore, the general solution of the differential equation is:
r(t) = ⟨x(t),y(t),z(t)⟩ = ⟨(4t − (5/2)t^2), (5t^2), C⟩

where C is an arbitrary constant.

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Answer:

X = -52

Step-by-step explanation:

1/3x - 2/3 = - 18

1/3x = - 18 + 2/3

x = (52/3) / (1/3)

x = -52