√a² + b² = a + b

is this true or false? i think its true but i cant explain it right ​

Answer:

x= 12

Step-by-step explanation:

6x = 72 (÷6)

6x/6 = 72/6

x = 12

Answer:

I am not sure myself but I think the answer is 2.3 hours per week.

Slope of line PQ = -3

Slope of line RS = 3

They are neither parallel nor perpendicular.

If two lines are parallel to each other, they would have the same slope value.

If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.

Slope = change in y / change in x.

Slope of line PQ = (-1 - 14) / (2 - (-3))

Slope of line PQ = -15/5 = -3

Slope of line PQ = -3

Slope of line RS = (-10 - 8) / (-2 - 4)

Slope of line RS = -18/-6

Slope of line RS = 3

The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.

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The measure of ∠EBD from the given figure is 26°.

Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since BC bisects ∠ABD, we get ∠ABC=∠CBD

So, ∠ABD=∠ABC+∠CBD

⇒2∠CBD=104°

⇒∠CBD=52°

Here, BE bisects ∠CBD, we get ∠CBE=∠EBD

So, ∠CBD=∠CBE+∠EBD

⇒2∠EBD=52°

⇒∠EBD=26°

Therefore, the measure of ∠EBD from the given figure is 26°.

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The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.

Thus, the required question, solution, and answer are mentioned above.

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Answer: x=700+15

Step-by-step explanation: an educated guess

Answer:

y = 15x + 700

Explanation:

In this sentence said Max already has $700 which means it should be constant value in the equation. Max earns $15 for each lawn he cuts.

Linear equation:

where 'm' is rate of change, 'b' is constant value

So, the equation should be (for total money Max saved):

where y represents total money Max saved and x = number of lawns cut.

The different ways can a student check off one answer to each question is 1024.

It is required to find the different ways can a student check off one answer to each question.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,

,To find  how many different ways can a student check off one answer to each question we have,

: 4^5 = 2^10

= 1024

Therefore, the different ways can a student check off one answer to each question is 1024.

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Answer: y-3 = 3(x+4)

Step-by-step explanation:

See attached

The number of children who wore both orange and black will be 8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.

Then the number of children who wear costumes and black & orange. Then we have

⇒ 46 - 18 - 12

⇒ 46 - 30

⇒ 16

Half of the guests will go in costumes that are neither black nor orange. Then we have

⇒ 16 / 2

⇒ 8

Then the number of the children who orange and black will be  

⇒ 16 - 8

⇒ 8

The number of children who wore both orange and black will be 8.

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a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].

b. The time when 1 gram remaining is 38.1145 days.

The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.

Now, as per the question;

Exponential growth is given by the formula;

[tex]A(t)=A_0(1+r)^t[/tex]

Where,

A(t) = amount at time t.

A₀ = Initial amount of the nuclei (= 6.6)

r = rate of increasing( = -1/2; as decay is always negative)

t = time (= t/14)

Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-

Substituting all the values in the equation;

[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

This is the requires expression.

Part b. Calculate the time there be 1 gram remaining as;

This time can be written as A(t) = 1.

Substitute the value in the equation.

[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]

Further solving;

t = 38.1145 days.

Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.

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In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

To find the probability:

Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

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Answer:

Step-by-step explanation:

height of the building

Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage

Answer:

yookiiii8bubub7bssh8ss

We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%

The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.

rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%

rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%

Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.

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The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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i am 11th grade

but why?

Answer:

Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

This applies to the listed number.

The expression for the area of a triangle with a height of n and a base of 6 is 6n/2

The formula for calculating the area of a triangle is expressed as:

A = 1/2 bh

where

b is the base of the triangle

h is the height of the triangle

Given the following parameters

base = 6

height = n

Substitute

A = 1/2 × 6 × n

A = 6n/2

Hence the expression for the area of a triangle with a height of n and a base of 6 is 6n/2

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The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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The slope intercept form of the equation 12x ₊ 8y = ₋24 is

y = ₋3/2 x ₋ 3

Given the equation is 12x ₊ 8y = ₋24

we are asked to convert the given equation into slope intercept form.

Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.

12x ₊ 8y = ₋24

⇒ 12x ₊ 8y ₊ 24  = 0

we re-arrange the equation of the line to write it in the standard form

y = mx + b.

12x ₊ 8y = ₋24

8y = ₋12x ₋ 24

now divide the terms on the right side by 8.

y = ₋12x/8 ₋ 24/8

y = ₋3/2x ₋ 3

hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3

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Answer:

I don't know to be honest

Step-by-step explanation:

that's great

Answer:

6a²b(2b-3a³+5)

in here we need to consider about highest common factor. After that take it as common and factorise

Answer:

∠ NST = 59°

Step-by-step explanation:

∠ NST and ∠ LSN form a right angle , that is

∠ NST + ∠ LSN = 90

3x - 1 + 2x - 9 = 90

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Then

∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°

Answer:

21.153

Hope this helps! (:

Answer:

21.153

Step-by-step explanation:

(Don't confuse thousandths for thousands.)

21 + 0.153 = 21.153

Answer:

-20/3

Step-by-step explanation:

Using point-slope form, the equation is

[tex]y+4=-\frac{2}{3}(x+1) [/tex]

Substituting x=3,

[tex]y+4=-\frac{2}{3}(3+1) \\ \\ y+4=-\frac{8}{3} \\ \\ y=-\frac{20}{3}[/tex]