To what number system do the numbers that are not rational belong.

Answer:

1.

Tan 45=√2/n

n=√2

again

sin 45=√2/m

m=2

answer: m=2,n=√2

2.

sin 45=x/3

x=3/√2=3√2/2

y=3√2/2

ans:x=3√2/2,y=3√2/3

3.

sin 45=a/4

a=4/√2

b=4/√2

ans:a=4/√2,b=4/√2

4.

b=4 base sides of isosceles triangle

sin 45=4/a

a=4√2

ans:a=4√2 and b=4

answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

Answer:

Here are the answers, hope this helps

Step-by-step explanation:

1) 2400-437.42=1962.42

2) (-45)×4.5 = -202.5 feet deep

3) 7/11 = 0.6363636364      I think it is a repeating decimal. If you give me more info about the repeating and terminating decimal i can kind of help you as i haven't yet studied it in school. :)

Answer:

1. 1962.58 2. 202.5 3. 0.6363636363......... repeating

Step-by-step explanation:

1. If you get pad 2400 and you owe 437.42, subtract the amount you got paid by the amount you owe to get

The sample proportion for the sample shown above is 0.75 or 75%.

To find the sample proportion, we need to determine the proportion of students who received financial aid in the given sample.

Counting the number of students who received financial aid, we see that out of the 8 students in the sample, 6 of them received financial aid. Therefore, the sample proportion is:

Proportion of students who received financial aid = Number of students who received financial aid / Total number of students in the sample

= 6 / 8

= 0.75

Therefore, the sample proportion for the sample shown above is 0.75 or 75%.

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Annie loved the first novel she read by Danielle Steel. Ms. Steel has just published a new novel, and it got great reviews. Therefore, it is likely that Annie would like that novel too which means that the argument is inductive and it is a weak one.

This is a type of argument which is characterized by the arguer believing that the truth of the premises provides only good reasons to believe the conclusion is probably true.

In this scenario since Annie liked the author's previous books and the new one had great reviews then it is probably true that she would also like it and it is a weak one because assuming the premises are true,then it is probable for the conclusion to be false.

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Answer:

508.68cm^2

Step-by-step explanation:

this is a semicircle, so first get the whole circle by s=

\(\pi \: r {}^{2} \)

so it said you should plug in 3.14 for pi,

3.14×18^2=1017.36

and semicircle should be the half of it, which is 508.68 cm^2

Answer:

127.17 cm²

Step-by-step explanation:

The area of a circle of radius r is given the the formula below.

A = πr²

Since you have a semicircle, divide the area of a circle by 2.

A[semicircle] = πr²/2

A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²

Answer: 127.17 cm²

You are correct. Remember to include the units. In this case, it is cm².

Answer:12 to 25 yrs

Step-by-step explanation:

convert 12% to a decimal

The maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

To estimate the maximum error in the calculated area of the rectangle, we can use differentials. The formula for the area of a rectangle is A = length * width.

Given:

Length (L) = 52 cm (with a maximum error of 0.1 cm)

Width (W) = 35 cm (with a maximum error of 0.1 cm)

We want to find the maximum error in the calculated area (dA) when the length and width have a maximum error of 0.1 cm.

Using differentials, we have:

dA = (∂A/∂L) * dL + (∂A/∂W) * dW

Let's calculate the partial derivatives (∂A/∂L) and (∂A/∂W):

∂A/∂L = W (since the width is constant when differentiating with respect to L)

∂A/∂W = L (since the length is constant when differentiating with respect to W)

Substituting the values:

∂A/∂L = 35 cm

∂A/∂W = 52 cm

Now we can calculate the maximum error in the calculated area (dA) using the given maximum errors in length (dL) and width (dW):

dA = (35 cm * 0.1 cm) + (52 cm * 0.1 cm)

dA = 3.5 cm + 5.2 cm

dA = 8.7 cm

Therefore, the maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.

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Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

The difference in mass between the two blocks is 540 kg.

To find the difference in mass between the two blocks, we need to calculate the mass of each block and then subtract one from the other.

The formula to calculate the mass of an object is:

Mass = Density * Volume

For the first block with a density of 780 kg/m³ and volume of 9 m³:

Mass₁ = 780 kg/m³ * 9 m³

For the second block with a density of 840 kg/m³ and volume of 9 m³:

Mass₂ = 840 kg/m³ * 9 m³

Now, we can calculate the difference in mass by subtracting Mass₁ from Mass₂:

Difference in Mass = Mass₂ - Mass₁

Let's perform the calculations:

Mass₁ = 780 kg/m³ * 9 m³ = 7020 kg

Mass₂ = 840 kg/m³ * 9 m³ = 7560 kg

Difference in Mass = 7560 kg - 7020 kg = 540 kg

Therefore, the difference in mass between the two blocks is 540 kg.

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The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.

In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:

x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P

Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.

The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).

This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.

For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.

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Answer:

Below  ( kinda long)

Step-by-step explanation:

Use fist derivative to find where the derivative = 0

Derivative = 4 x^3 + 12 x^2  

   set = to zero

   4x^3 + 12x^2 = 0

    4x^2 ( x + 3) = 0     shows   x = 0 or -3

Now take the  SECOND derivative

12x^2 + 24x     and sub in the values found above ( 0 and -3)

    if the result is >0   this point is a local min, if < 0 it is a local max and if = 0 it is neither a min or a max....it is an INFLECTION point

12x^2 + 24x      for x = -3   this equals +36     <=====local min

                         for x = 0   this equals 0  <======inflection point

SO at -3 there is a local min extreme....find the value at -3 :

x^4 + 4x^3 - 2 =

(-3)^4 + 4 ( -3^3) - 2 =  - 29          the local min is at (-3,-29)

Answer:

1.) 20z^5

2.) 8m^5 · 6p^7 · 3mp^0

Step-by-step explanation:

4z^3 · z^2 · 5z

first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5

4z^5 · 5z

multiply 4z · 5z and keep the exponents

20z^5

2m^3p^4 · 4m^2p^3 · 3mp^0

find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5

now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7

and for the "mp" variable: 3mp^0

put it all together and this is the simplest form because we don;t know the values of the variables:

8m^5 · 6p^7 · 3mp^0

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

\(( - 12) + (5) \\ = 7\)

Step-by-step explanation:

-9.382649173.62 if you do the math

Answer:

I'm not sure what answer your looking for exactly

Step-by-step explanation:

3(-3x+9x+30x) -3x³ -18²(-24x) combine like terms

3+12x-3x³-18x² subsitute x

-4: 3+(-4)-( -1728)-( -5184)=6867

-2: 3+(-24)-(216)-1296)=-1533

0: 3

Answer:

perimeter of the figure: \(32m^3+11m^2-39m+1\)

Step-by-step explanation:

perimeter = sum of all the sides.

→ \(20m^2+12m^2+4m^3-24m^2+1+20m^3+3m^2+m+8m^3-40m\)

→ \(4m^3+20m^3+8m^3+20m^2+12m^2-24m^2+3m^2+m-40m+1\)

→ \(32m^3+11m^2+m-40m+1\)

→ \(32m^3+11m^2-39m+1\)

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

y = -2x - 3

Step-by-step explanation:

The y-intercept is b = -3.

We read the slope off the graph.

m = -2/1 = -2

y = mx + b

y = -2x - 3

Answer:

455.4,  So D

Step-by-step explanation:

You need to multiply 37.95 times 12 which gives you 455.4

Answer:

He is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

Step-by-step explanation:

Information from Quizlet I promise it is correct!

Josh is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

        \(b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}\)

        where : [m] → is slope of line and [c] → is the y - intercept

We have Josh who graphs a system of equations to determine the roots of the polynomial equation . From the graph, he determines that there are two solutions to the equation.

The correct statement is -

He is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

Therefore, Josh is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

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[ Complete question -

Josh graphs a system of equations to determine the roots of the polynomial equation . From the graph, he determines that there are two solutions to the equation.

Which statement is true?

He is correct because the graph shows two intersection points.

He is correct because the least exponent of the system is two so there must be two solutions.

He is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.

He is not correct because the difference of the exponents is three, so there must be three solutions, one of which is a multiplicity]

Based on the definition of supplementary angles, the measures are:

a. x = 42; 3x + 1 = 127°; x + 11 = 53°

b. x = 20; 4x = 80°; 3x + 40 = 100°

c. x = 4; 20x + 5 = 85°; 24x - 1 = 95°

d. x = 20; 3x = 60°; 6x = 120°

Two angles that have a sum of 180 degrees are called supplementary angles.

a. 3x + 1 + x + 11 = 180 [supplementary angles]

Combine like terms

4x + 12 = 180

4x = 180 - 12

4x = 168

x = 168/4

x = 42

Plug in the value of x

3x + 1 = 3(42) + 1 = 127°

x + 11 = 42 + 11 = 53°

b. 4x + 3x + 40 = 180 [supplementary angles]

7x = 180 - 40

7x = 140

x = 20

Plug in the value of x

4x = 4(20) = 80°

3x + 40 = 3(20) + 40 = 100°

c. 20x + 5 + 24x - 1 = 180 [supplementary angles]

44x + 4 = 180

44x = 180 - 4

44x = 176

x = 176/44

x = 4

Plug in the value of x

20x + 5 = 20(4) + 5 = 85°

24x - 1 = 24(4) - 1 = 95°

d. 3x + 6x = 180 [supplementary angles]

9x = 180

x = 180/9

x = 20

3x = 3(20) = 60°

6x = 6(20) = 120°

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The results related to quadrilaterals, triangles and semicircles are, respectively:

Case 12: A = 467.611 ft²

Case 13: h = 8.7 m

Case 14: b = 27 mm

Case 15: B = 14 ft

Case 16: h = 11.5 in

Case 17: r = 7 km

Case 18: h = 19 ft

Case 19: C = 243.56 USD

In this problem we find seven area cases related to quadrilaterals and triangles, whose formulae are shown below:

Triangle (Classic formula)

A = 0.5 · b · h

Triangle (Heron's formula)

A = √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

Rectangle / Parallelogram

A = b · h

Trapezoid

A = 0.5 · (b + B) · h

Where:

And an area case related to a semicircle:

Semicircle

A = 0.5π · r²

Where r is the radius.

Now we proceed to solve on each case:

Case 12

A = 0.5 · √[(18 ft)² - (8 ft)²] · (8 ft) + √[(18 ft)² - (8 ft)²] · (25 ft)

A = 467.611 ft²

Case 13

h = 211.41 m² / 24.3 m

h = 8.7 m

Case 14

b = 202.5 mm² / [0.5 · (15 mm)]

b = 27 mm

Case 15

193.5 ft² = 0.5 · (29 ft + B) · (9 ft)

29 ft + B = 193.5 ft² / [0.5 · (9 ft)]

B = 14 ft

Case 16

166.75 in² = 0.5 · (21 in + 8 in) · h

h = 166.75 in² / [0.5 · (21 in + 8 in)]

h = 11.5 in

Case 17

76.97 km² = 0.5π · r²

r = 7 km

Case 18

h = 228 ft² / 12 ft

h = 19 ft

And the perimeter is:

p = 2 · (12 ft + 19 ft)

p = 62 ft

Case 19

s = 0.5 · 3 · (15 ft)

s = 22.5 ft

A = √[(22.5 ft) · (22.5 ft - 15 ft)]

A = 12.990 ft²

And the total cost is:

C = (18.75 USD / ft²) · (12.990 ft²)

C = 243.56 USD

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Answer:

1.5

Step-by-step explanation:

abcd is 2 times bigger than jklm. so 3÷2=1.5

5÷2=2.5

2÷2=1

7÷2=3.5

so that means 3÷2=1.5

The factors of the given expression, x²-x-6, are (x+2)(x-3)

A mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is an expression, x²-x-6, we need to factorize it,

x²-x-6,

Splitting the middle term by the multiples of 6,

2-3 = -1 and 2×3 = 6

x²-x-6

= x²-3x+2x-6

= x(x-3)+2(x-3)

= (x+2)(x-3)

Hence, the factors of the given expression, x²-x-6, are (x+2)(x-3)

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Answer:

oh my answer is in the explanation

Step-by-step explanation:

it

is

quite

big

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(f(x) = {x}^{2} + 16x + 64 + 12 \)

\(f(x) = ({x + 8})^{2} + 12 \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

answers: -8,12

the other guy was half-right, but put +8 instead of -8

Answer:

2 2/4

Step-by-step explanation:

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

answer is b

Step-by-step explanation:

Answer: Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

Step-by-step explanation:

To calculate the correlation coefficient, r, we need to follow these steps:

Step 1: Calculate the sum of squares of age.

Step 2: Calculate the sum of squares for fundamental frequency.

Step 3: Calculate the sum of products between age and frequency.

Step 4: Compute the correlation coefficient, r.

Here are the calculations:

Step 1: Calculate the sum of squares of age.

2^2 + 2^2 + 2^2 + 6^2 + 9^2 + 10^2 + 13^2 + 10^2 + 14^2 + 14^2 + 12^2 + 7^2 + 11^2 + 11^2 + 14^2 + 20^2 = 1066

Step 2: Calculate the sum of squares for fundamental frequency.

840^2 + 670^2 + 580^2 + 470^2 + 540^2 + 660^2 + 510^2 + 520^2 + 500^2 + 480^2 + 400^2 + 650^2 + 460^2 + 500^2 + 580^2 + 500^2 = 1990600

Step 3: Calculate the sum of products between age and frequency.

2840 + 2670 + 2580 + 6470 + 9540 + 10660 + 13510 + 10520 + 14500 + 14480 + 12400 + 7650 + 11460 + 11500 + 14580 + 20500 = 190080

Step 4: Compute the correlation coefficient, r.

r = [nΣ(xy) - ΣxΣy] / [sqrt(nΣ(x^2) - (Σx)^2) * sqrt(nΣ(y^2) - (Σy)^2))]

where n is the number of observations, Σ is the sum, x is the age, y is the fundamental frequency, and xy is the product of x and y.

Using the values we calculated in steps 1-3, we get:

r = [16190080 - (106500)] / [sqrt(162066 - 106^2) * sqrt(161990600 - 500^2)]

= 0.877

Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

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