Solve (x – 3)² =5 give your answers to the correct 3 significant figures

Answer:

Step-by-step explanation:

[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]

[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]

Answer:

9

Step-by-step explanation:

→ Divide the number of red marbles by the ratio of red marbles

12 ÷ 4 = 3

→ Multiply 3 by the ratio of 3

9

Answer:

12

Step-by-step explanation:

You divide 96 by 8 and you get 12.

Answer:

bx + ba

Step-by-step explanation:

Product is multiplication

[Given] (x+a) * (b)

[Reorder] b(x + a)

[Dsitribute] bx + ba

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

25.12 square feet

Step-by-step explanation:

Area of a circle

a = 3.14 * r^2

a = 3.14 * 4^2

a = 3.14 * 16

a = 50.24

Since this is a semi-circle the area is half the circle

a = 50.24/2

a = 25.12 square feet

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

Answer:

See picture

Step-by-step explanation:

My calculator only allows numbers up to 15 digitss-

djsjdjcvfb

Here

Work

Picture

I just want the points so please tell me I didn't just waste my time :'D

Answer:

3/4 is equivalent to 6/7

Hey there!

Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:

[tex]\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...[/tex]

Hope it helps. Please let me know if you have any questions.

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

10

Step-by-step explanation:

3/5 simpilfied is 0.6

So 6/0.6 = 10

Answer:

5/20

quater is divided into 4 pieces to get a whole and 3/4 is 15 and 1/2 is 10 and 20 is whole and 1/4 is 5

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

reatsrhgfdwdqewrgtyj :'(

Step-by-step explanation:

could you provide the polygons so I can answer?

podria proporcionar el poligono que puedo responder?

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.

One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.

Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.

144 + 36 = 180

Answer:

See attachment

Step-by-step explanation:

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

To learn more on Volume click:

https://brainly.com/question/13798973

#SPJ2

Answer:

the answer is 15 because you have to do the problem in the parentheses first then multiply by 5

Answer:

Kasha earned $10,260.00

Step-by-step explanation:

The total amount accrued, principal plus interest, from simple interest on a principal of $9,500.00 at a rate of 2% per year for 4 years is $10,260.00.

Answer:

the three sides are 8, 12 and 16

Step-by-step explanation:

since the ratio is in 2:3:4, we need to work out each side individually so add them=2+3+4=9

9n=36, n=4

2:3:4

2 × 4 = 8

3 × 4 = 12

4 × 4 = 16

Answer:

RS = 6

Step-by-step explanation:

The line joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

RS = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 12 = 6

Answer:

-10u-10

Step-by-step explanation:

Hi,

[tex] \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} [/tex]

[tex] \frac{2}{3} \times \frac{40}{1} = \frac{80}{3} [/tex]

2/3 of 40:

80/3

[tex] \frac{3}{5} \times \frac{45}{1} = \frac{135}{5} = 27[/tex]

3/5 of 45:

27

✅(. ❛ ᴗ ❛.)

Answer:

A= 26.67

B= 27

Step-by-step explanation:

2/3 x 40 = 26.67

(2×40= 80÷3 = 26.67)

and...

3/5 x 45 = 27

(3×45= 135÷5=27)

Hope this helped you- have a good day bro cya)

Answer:

I am deeply sorry.

Step-by-step explanation:

I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.

Answer:

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Step-by-step explanation:

2q+6=12

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Hope this helps :)

Answer:

Well this is common algebra

So you want to isolate the variable so in this case you subtracted 6 on both sides.

Now you jsut divide both sides by 2 which is 2q/2=q

6/2=3

q=3