Need help ASAP for math

Step-by-step explanation:

A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.

Answer: The Answer is N = 5

Step-by-step explanation:

The reason is that 76 + n and 2n + 26. 5 can work for both of them. 76 + 5 = 81 which is a rational number and 2 * 5  + 26 = 36 which is also a rational number.

Answer:

5. LCM of 7 and 14: 14.

multiples of 7: 7, 14

multiples of 14: 14

LCM of 8 and 12: 24.

multiples of 8: 8, 16, 24

multiples of 12: 12, 24

Step-by-step explanation:

\(.\)

Answer:

Step-by-step explanation:

Find the sketch of the triangle attached.

Area of the triangle = \(\frac{1}{2}|PQ| |PR| sinQPR\)

Given PQ = 20, PR = 12 and ∠QPR = 68°

Area of the triangle = 1/2 * 20 * 12 * sin68°

Area of the triangle = 120sin68°

Area of the triangle = 112.26 square units

Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)

Answer:

111.3

Step-by-step explanation:

Answer: $24.50

Step-by-step explanation:

We know that each battery  pack contains 4 batteries.

This mean that to get 28 batteries, you would need 7 packs (28/4)

7 battery packs x $3.50 = $24.50

∴, 28 batteries will cost $24.50

The object will be 6.1 m from the ground after 2 seconds.

The falling object model is used to calculate the height of an object after it has been dropped for a certain period of time. The equation used is h=h0−1/2gt2, where h0 is the initial height, g is the acceleration due to gravity and t is the time elapsed.

For example, if an object is dropped from a height of 15 m and falls for 2 seconds, we can calculate the height it will be at after 2 seconds.

The equation is then h=15−1/2(9.8)22

h=15−4.9•4

h=6.1 m

Therefore, the object will be 6.1 m from the ground after 2 seconds.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ4

Therefore, the simplified form is x^3y^3z^3.

The simplified form of (x^2yz)^2xy^2z^2)/(xyz)^2 is x^3y^3z^3.
Explanation:
To simplify this expression, we first need to expand the numerator:
(x^2yz)^2xy^2z^2 = x^4y^3z^3
Now we can divide the numerator by the denominator:
x^4y^3z^3 / (xyz)^2 = x^4y^2z^2
Finally, we can simplify this expression by combining like terms:
x^4y^2z^2 = x^3y^3z^3

To simplify the given expression, we will apply the exponent rules step-by-step.
Given expression: ((x^2yz)^2 * xy^2z^2) / (xyz)^2
Step 1: Simplify the terms within the parentheses by raising them to the power indicated.
((x^4y^2z^2) * xy^2z^2) / (x^2y^2z^2)
Step 2: Multiply the numerators.
(x^5y^4z^4) / (x^2y^2z^2)
Step 3: Divide the terms with the same base by subtracting the exponents.
(x^(5-2)y^(4-2)z^(4-2))
The simplified expression is x^3y^2z^2.

Therefore, the simplified form is x^3y^3z^3.

To know more about expression visit :

https://brainly.com/question/1859113

#SPJ11

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

A) -1

Step-by-step explanation:

\(i^{6} =(i^{2} )^{+3}\)

→ \((-1)^{3}\)

→ \(-1\)

\(-----------\)

hope it helps...

have a great day!!

Answer:

-1

Explanation:

This is because

i to the power 0 = 1

i to the power 1 = i

i to the power 2 = -1

i to the power 3 = -i

i to the power 4 = 1

i to the power 5 = i

i to the power 6 = -1

i to the power 7 = -i

Hope this helps and sorry for the late reply!

Answer:

-10

Step-by-step explanation:

I used an app that helps me answer questions and yes its -10 the person that answered before me is correct :D

The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be negative 10.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The linear expression is given below.

⇒ 1 - 2x + 3y

The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be

⇒ 1 - 2x + 3y

⇒ 1 - 2(-2) + 3(-5)

⇒ 1 + 4 - 15

⇒ 5 - 15

⇒ -10

The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be negative 10.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

\(\frac{5y}{5} = \frac{11}{5}\)

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ1

Answer:

  -8k -2

Step-by-step explanation:

You want the simplified form of -2(k+1)-6k.

The process of simplifying an algebraic expression includes ...

Parentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.

  -2(k +1) -6k

  = (-2)(k) +(-2)(1) -6k = -2k -2 -6k

Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)

  = (-2 -6)k -2 = -8k -2

The simplified expression is -8k -2.

Answer:

(2,1)

Step-by-step explanation:

the best way to figure it out is with a graph

(-3,-9) to (4,5)

for the x

-3 to 4 is exactly 7 points away so you should count 5 over and stop.

for the y

-9 to 5 is exactly 14 points away so you should count in twos and stop at 5 sets of 2

hope this helps <3

The length of the pole corrected to three significant figures is L = 29.6 m

Given data ,

Let the length of the pole be represented as L

Now , the value of L is given by

L = 29.6 m

And , trailing zeros are only significant if the number contains a decimal point

where 29.60 has 4 significant figures

Hence , the length of the pole rounded to 3 figures is 29.6 m

To learn more about rounding up off numbers click :

https://brainly.com/question/4896544

#SPJ1

Answer:

A, x ≥ -2 and x ≤ 4

Step-by-step explanation:

|2x - 2| ≤ 6

-6 ≤ 2x - 2 ≤ 6

-4 ≤ 2x ≤ 8

-2 ≤ x ≤ 4

x ≥ -2 and x ≤ 4

Answer: A.  x ≥ -2 and x ≤ 4

Answer:

23 total pancakes.

Step-by-step explanation:

Let's start by listing out all the prime numbers from 1-10:

1

2

3

5

7

So the greatest prime number less than 10 is 7. That's your answer for the number of plain pancakes.

Plus Teresa make 16 choc chip pancakes.

So 7 + 16 = 23 total pancakes.

This ones a bit of a trick question, since whether the integers are even or odd doesn't really matter. What does matter, is that consecutive odd integers are 2 numbers apart (as are consecutive even integers).

So again, if the first of the odd integers is the variable n

the consecutive odd integers after it can be written as:

n+2 , n+4, etc...

So the sum of four consecutive odd integers can be written as:

sum = n + (n+2) + (n+4) + (n+6)

Simplify:

sum = 4n + 12

And finally rearrange to solve for n:

\(\frac{sum-12}{4}\) = n

This can also be written as:

\(\frac{sum}{4}\) - 3 = n

Whichever way you prefer.

Answer:

I'm answering again so that Potato can get Brainliest!

Answer:

12 cm

Step-by-step explanation:

48/4 is 12 since there is 4 sides and all of them are equal.

Answer:

the answer is 192

Step-by-step explanation:

48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.

Answer:

2.9= -2b +4.1

-4.1         -4.1

-1.5 = -2b

divide both sides by -2

.75= b

The amount in the person's account after a compound interest of 6 % quarterly after 2 years is given by A = $ 112.65

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount in the person's account after 2 years be A

Let the principal amount be P = $ 100

Let the number if years b = 2 years

Let the rate of interest r = 6 %

Now , the interest is applied quarterly , so n = 4

And , the compound interest amount is A = P ( 1 + r/n )ⁿᵇ

On simplifying , we get

A = 100.00 ( 1 + ( 0.06/4 ) )⁴ˣ²

A = 100.00 ( 1.015 )⁸

A = $ 112.65

Hence , the amount after 2 years is $ 112.65

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ1

Step-by-step explanation:

a÷b=960÷89=10.78651685=10.79 or 17.8

Utilizando trigonometría, veremos que la altura del arbol es 6m.

Podemos visualizar la situación como un triangulo rectangulo.

La altura del arbol será el cateto opuesto al angulo de 36.87°.

La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.

Entonces, podemos usar la relacion:

tan(θ) = (cateto opuesto)/(cateto adjacente).

Reemplazando lo que conocemos, y definiendo:

altura = cateto opuesto = H.

tendremos:

tan(36.87°) = H/8m

Resolviendo para H:

H = tan(36.87°)*8m = 6m

Así, concluimos que la altura del arbol es 6m.

Sí quieres aprender más sobre triangulos rectangulos:

https://brainly.com/question/2217700

#SPJ1

Answer:

\( \sin(x) = \frac{1}{4} \\ { \sin }^{2} x = \frac{1}{16} \\ { \cos } x = \sqrt{1 - { \sin }^{2}x } \\ \cos(x) = \sqrt{1 - \frac{1}{16} } \\ \cos(x) = \sqrt{ \frac{15}{16} } \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } } \\ \tan(x) = 0.258\)

The exact value of tan x is,

⇒ tan x = - 1/√15

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

First, we can use the fact that sin x = 1/4 to find the value of cos x.

We know that;

sin²x + cos²x = 1,

cos²x = 1 - sin²x

cos²x = 1 - (1/4)²

cos²x = 1 - 1/16

cos x = ±√(15/16)

But since we know that x is in the third quadrant , we know that cos x is negative.

Therefore, we can take:

cos x = -√(15/1`6)

Now we can use the fact that;

tan x = sin x / cos x

tan x = sin x / cos x

tan x = (1/4) / (-√(15/16))

tan x = - (1/4) * (4/√15)

tan x = - 1/√15

So, the exact value of tan x is,

⇒ tan x = - 1/√15

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:$5.66

Step-by-step explanation:

Answer:

$5.66

Step-by-step explanation:

We see that David paid $4.70 on his sandwich and $0.96 on his chips. Adding those together we get $5.66.

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

Read more on probability here:https://brainly.com/question/13604758

#SPJ1

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation: