35-4-2-13
O C5 (
42) 13
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D(
64) -2-13

Answer:

2 sqaure root 5 -3

Step-by-step explanation:

See the Image below:)

(2[tex]\sqrt{5}[/tex] - 3)

The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.

Given equation  [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]

[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]

=  [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)

the equation is now in the form of (a - b)² =  a² + b² + 2ab

equation (1) can be written as where a =  2√5 and b = 3

[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3

Hence the simplified equation is  2√5 - 3

Learn more about simplification;

https://brainly.com/question/23509407

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Answer:

E and A

Step-by-step explanation:

Answer:

Raden is correct

Step-by-step explanation:

A quadrilateral is any polygon that has four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.

A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.

Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.

Answer:

[tex]f(7) = 49[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]

Required

Determine f(7)

To do this, we make use of

[tex]f(x) = x^2[/tex]

Because [tex]7 > 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

This becomes:

[tex]f(7) = 7^2\\[/tex]

[tex]f(7) = 49[/tex]

Let's calculate

4/15×285 + 3/20×320 = 124

124 students are participating in these exercises.

7 students is participating

Answer:

√24

Step-by-step explanation:

Answer:

[tex] \sqrt{24} [/tex]

as

[tex] \sqrt{25} = 5[/tex]

so

[tex] \sqrt{24} \: is \: nearly \: equal \: to \: 5[/tex]

also it is smaller than 5 and the number shown on the number line is left to 5 so it must be smaller than 5

Answer:

Step-by-step explanation:

x/2-5=x/4 +2

x/2-x/4=2+5

x*4-x*2/8=7

4x-2x=8*7

2x=56

x=56/2

x=28

Answer:

J

Step-by-step explanation:

Automatically 1 and 8 are removed as answers since they are too small and go into the negatives, making the other side impossible to be equal. Then just substitute with -20 and 28 and to see which is correct.

Answer:

Step-by-step explanation:

W=[tex]\sqrt{x-a/a}[/tex]

squaring both sides

W^2=([tex]\sqrt{x-a/a}[/tex] )^2

W^2=x-a/a

wa=x-a

a=x-a/w

[tex] \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Le quedan 25 pesos

No tendrá pendiente ninguna deuda

Step-by-step explanation:

60-15-20=25

Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

Answer:

5,38

Step-by-step explanation:

its correct!

Answer:

30

Step-by-step explanation:

this is a right triangle which is 30 60 90 and the smaller angle is always 30

Answer: 59.7

Step-by-step explanation:

Answer:

y = 0, y= -7

Step-by-step explanation:

[tex]y(-7-y) = 0\\=> y =0\ ,\ -7 -y =0 => y = -7[/tex]

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

Answer: a b f

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

40x(14)

Step-by-step explanation:

5x(2)y(0)(2x(4)(3)

5x(2)x1) x8x(12)

5x(2)x8x(12)

40x(14)

Answer: So how many times can you get 94.2 inces from 1 mile?

How many inches are there in 1 mile?

1 mile = 5280 feet and...

1 foot = 12 inches., so...

1 mile = 5280ft.(12in./ft)

1 mile = 63,360 inches. Finally, you will divide 63,360 inches by 94.2 inches per revolution.

63360%2F94.2+=+672.6revolutions per mile :)

Step-by-step explanation: hope this helped

Answer:

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =\frac{1}{4}3^x -6[/tex]

[tex]g(x) \to[/tex] translate f(x) 9 units up

Required

Find g(x)

The translation rule is:

[tex]g(x) \to f(x) + 9[/tex]

So, we have:

[tex]g(x) = f(x) + 10[/tex]

[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

I think it is b) 70

Step-by-step explanation:

Arrange the numbers in ascending order then find the middle number.

Answer:

70

Step-by-step explanation:

Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.

Answer:

Step-by-step explanation:

= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]

= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]

= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]

= [tex] ( {p})^{ \frac{9}{2}} [/tex]

Answer:

9°

Step-by-step explanation:

In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.

Sum of angles in a ∆ = 180°

80° + m/_2 + m/_2 = 180°

80° + (5x + 5) + (5x + 5) = 180°

10x + 90° = 180°

10x = 90°

x = 9°

Answer:

3, 7

Step-by-step explanation:

"Zeros" means solutions to the equation f(x) = 0.  In other words, what are the values of  x  that make the function's value equal to zero?

This one can be solved by factoring.

[tex]x^2-10x+21=0\\(x-7)(x-3)=0\\x-7=0 \text{ or } x-3=0\\x=7 \text{ or } x=3[/tex]

Answer:

will you msg me . . . . .. . ..

Answer:

422 cm²

Step-by-step explanation:

Small rectangular prism: 3*4 + 8*3 + 8*3 + 8*4 + 8*4 = 124

Large rectangular prism: 5*7 + 5*7 + 10*5 + 10*5 + 10*7 + (10*7 - 4*3 ) = 298

Total: 124 + 298 = 422 cm²

*Calculate only areas of surfaces showing and add them up

The small rectangular prism has 5, and the large rectangular prism has 6 (with a 4*3 rectangle on its top surface covered)

Answer:

D

Step-by-step explanation:

6.5 / 12 = x / 24

x = 6.5 × 24 / 12

x = 6.5 × 2

x = 13

Answer:

Step-by-step explanation:

x/y=x/y

6.5/12=x/24

do cross multiplication

12x=24*6.5

x=156/12

x=13

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that [tex]p = 0.5[/tex]

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that [tex]n = 4[/tex]. So

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]

[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125[/tex]

0.3125 = 31.25% probability that it is not ideal.

Answer:

56.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

   0 5 6

1 6 9 0 4

 − 0    

   9 0  

 − 8 0  

   1 0 4

 −   9 6

       8

the answer is 56

Answer:

120

hope this helps

have a good day :)

Step-by-step explanation:

120 if not that 60

Step-by-step explanation:

hope this helped