If a^b= b^a and a = 2b then find the value of a^2+b^2
a) 20
b) 30
c) 28
d) 24
​

Step-by-step explanation:

u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

Answer:

x=3

Step-by-step explanation:

5/2 ( 3x-1) = 20

Multiply each side by 2/5

2/5 ( 5/2 ( 3x-1) )= 20 *2/5

3x-1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x = 9

Divide each side by 3

3x/3 = 9/3

x =3

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  [tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]

The value of the given expression for the given variable values is zero.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

3a - 9= 15

To solve the equation send the constants to the right side of the equation

That's

3a = 15 + 9

simplify

3a = 24

Divide both sides by 3

[tex]\frac{3a}{3} = \frac{24}{3}[/tex]

The final answer is

a = 8

Hope this helps you

Answer:

a = 8

Explanation:

Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.

3a - 9 = 15

3a - 9 + 9 = 15 + 9

3a = 24

Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.

3a = 24

3a/3 = 24/3

a = 8

Since we have fully isolated the variable, a, we have determined its value.

Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.

Complete question :

A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.

How much will it cost to fill the pool?

Answer:

$71.36

Step-by-step explanation:

Amount charged per cubic meter = $1. 75

Total volume of pool = 1440 ft^3

Using the conversion unit chart :

1 cubic meter = 35.3147 cubic foot

Then we can express the capacity of water held by the pool in cubic metre.

If 1 cubic meter = 35.3147 cubic foot

Then ;

y cubic meter = 1440 cubic foot

y = 1440/35.3147

y = 40.776220 cubic meter

Thus;

Cost of filling the pool will be;

$1.75 × 40.776220

= $71.358386

= $71.36

[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]

[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

Answer:  (i) 3

(ii) 10

(iii) 1080

Step-by-step explanation:

(i) Coefficient is the number written before any variable.

Coefficient of x in [tex]3x+10=36[/tex] is 3.

(ii) Constant is a numerical term written without any variable.

Constant in [tex]2x+10=5x[/tex] is 10.

(iii) Let x be the number of miles Katie's family drive.

Since they charge $30 combined with $0.25 per mile drive.

So, Total charge = 0.25 x +30 ( in dollars)

If they charged $300, then

[tex]0.25 x +30 =300[/tex]

Subtract 30 from both sides, we get

[tex]0.25x=270[/tex]

Divide both sides by 0.25, we get

[tex]x=1080[/tex]

Hence, Katie drove 1080 miles.

Answer:

36

Step-by-step explanation:

The formula for the area of a square is s², where s is the side length of the square.

If a square with a side length of 6 centimeters then we get,

S = 6

Now, Area of square

= s² = (6)² = 36

c. Tu | MN and MN || PQ I am done with the interview

Answer:

  $562.75

Step-by-step explanation:

The future value formula is good for this.

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using your numbers, we find the account value to be ...

  FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75

There will be $562.75 in the account after 2 years.

Answer:

[tex]\boxed{\sf D. \ Parallelogram}[/tex]

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

Answer:

-196

Step-by-step explanation:

Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.

Dari urutan tersebut, kita bisa membuat beberapa potongan.

Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4

Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20

U20 = a + (20-1)

d U20 = -18 + 19 (-4) = -18 - 76 = -94

U22 = a + (22-1) d

U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;

U22 + U20 = -102 + (-94) = -196

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

[tex]A=1(2)^{15}=32,768[/tex]

Answer:

Step-by-step explanation:

136 1/50 % of 231 = 6801/50 % * 231

                             [tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]

                             = 314.2062

Answer:

B The graft of h is the graft of g vertically shifted up 3 units

Answer:

(if you just add them together), it is 16 hours and 12 minutes

Step-by-step explanation:

8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.

Answer:

Q = 6

Step-by-step explanation:

Step 1: Write equation

4 - Q = -2

Step 2: Subtract 4 on both sides (Subtraction Equality)

-Q = -6

Step 3: Divide -1 on both sides (Division Equality)

Q = 6

And we have our answer!

Answer:

Step-by-step explanation:

[tex] \mathrm{4 - Q = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{ - Q = - 2 - 4}[/tex]

Calculate

[tex] \mathrm{ - Q = - 6}[/tex]

Change the signs on both sides of the equation

[tex] \mathrm{Q = 6}[/tex]

Hope I helped!

Best regards!

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

Answer:

The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;

S + 429 = 85 × 6

Step-by-step explanation:

The parameters given are;

The scores earned by Mele on the first five test in Economics II are;

75, 70, 92, 95, and 97 points

The total test points = 429 points

Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;

From the definition of average, μ = (Sum of data values)/(Number of data)

Sum of data values = S + 429

The number of data = 5 test + 6th test =  6

μ = 85 = (S + 429)/6

Therefore;

S + 429 = 85 × 6

Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.

Answer:

Step-by-step explanation:

_____ / 9

2/12

Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).

9 × 12 + 2 =

108 + 2 = 110

110 is the number divided.

110/9

20/12

2

Answer:

approximately 12.04 units

Step-by-step explanation:

We'll use the Pythagorean Theorem to solve this problem.

There are two points here.  The horizontal distance between them is 8 units and the vertical distance is 9.

According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is

d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.

Answer:

Step-by-step explanation:

y = - 5x + 30  and  x = 10  ⇒  y = -5•10 + 30 = -50 + 30 = -20

x = 10  and y = -20   ⇒  (10, -20)

Answer:

Its B. (10, –20)

Step-by-step explanation:

I just took the quiz on edge

Answer:

1. C = 10π, A = 25π

2. 9 cm³

Step-by-step explanation:

Formula for circumference = πd

Formula for area of a circle = πr²

1. Set up the equation for circumference

10π

2. Set up the equation for area (radius = 1/2diameter) and solve

π(5²) = 25π

Formula for volume of a square pyramid = 1/3s² · h

The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.

1. Set up the equation and solve

27 ÷ 3 = 9

Answer:

Step-by-step explanation:

3.

diameter is equal two radiuses

D = 10 = 2R   ⇒  R = 5

circumference:  C = 2πR = 2R•π = 10π

area:                    A = πR² = π•5² = 25π

4.

If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.

[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

Answer:

first number after the decimal point

Step-by-step explanation:

after the decimal point is the tenths, hundredths, and thousandths place.

0.1 - tenths

0.09 - hundredths

0.006 - thousandths