Write the set { 1, 3, 7, 15, 31, 63 } in set builder form ​

Answer:

m∠G > m∠P

Step-by-step explanation:

Given that:

HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.

The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.

Answer:

A.

Step-by-step explanation:

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Hello!

[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ [tex]\frac{5}{100}[/tex]

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

Formula for finding a quadratic equation when its roots are given is

x² - ( sum of roots)x + product of roots=0

The roots are

- 1 + i

- 1 - i

Sum of roots is = - 1 + i - 1 - i = -2

Product of roots is = ( -1 + i)(- 1 - i)

= 1 + 1 = 2

So the quadratic equation is

x² - (-2)x + 2 = 0

Hope this helps you

Answer:

x^2+2x+2

Step-by-step explanation:

to find b in the equation :

b^2<4ac when having two complex roots

the required equation is x2 - Sx + P = 0

the sum of the roots :-1-i+-1-i=-2

the product=2

so the equation: x^2-(-2)x+2

x^2+2x+2

Answer:

-1.76

Step-by-step explanation:

-2 is equal to -2, so it works (greater or less than -2)

-2.45 is less than -2, so it works

-8 is less than -2, so it works

-1.75 is greater than -2, so it doesn't work

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

Answer:

answer D

Step-by-step explanation:

hello,

[tex]f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2[/tex]

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

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Answer:

603.2

Step-by-step explanation:

V=πr^2h

V=π(4)^2(12)

V=π(4)^2(12)

V=603.1857895

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

Answer:

-4 points

Step-by-step explanation:

Since each incorrect answer is worth the same amount of negative points, use the equation below.

3x = -12      DIvide both sides by 3

x = -4 points  

Answer:

y = x+5

Step-by-step explanation:

The y intercept is 5  ( where it crosses the y axis)

We need two points to find the slope

(0,5) and (1,6)

The slope is

m = (y2-y1)/(x2-x1)

    = (6-5)/(1-0)

   = 1/1

    =1

The slope intercept is

y = mx+b

y   = 1x +5

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

Slope intecept form: y = mx + b

y = x + 5

It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.

Answer:

168

Step-by-step explanation:

We would like to multiply these two expressions together and then substitute -2 in for x to solve.

f(x) * g(x) = (8 - 10x) * (5x + 4)

We will use FOIL (first, outer, inner last):

(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4

Combining terms, we get:

f(x) * g(x) = 32 - 50x²

Plug -2 in for x:

32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168

The answer is thus 168.

~ an aesthetics lover

Answer:

4.42

Step-by-step explanation:

Angles A and C are identical because the two circles are similar.

The arc length formula is s = rФ, where r is the radius and Ф is the central angle.

If we know s and r, then the central angle Ф is s/r, or, in this case,

Ф = 8.84/5.

Now let's find the length of the arc EF:  s = rФ becomes:

s = (2.5)(8.84/5) = 4.42

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

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Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

Answer:

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Answer: What is the question? If you could be more specific I could try to help but there is no question here.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

just did it

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Choice A: [tex]2,2, \sqrt{4}[/tex]

Choice B: 9, 40, 41

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

Answer:

(B)9, 40, 41

Step-by-step explanation:

To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.

[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Note that the longest side length is always the hypotenuse.

Choice A: [tex]2,2, \sqrt{4}[/tex]

Now, [tex]\sqrt{4}=2[/tex]

Therefore:

[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]

These side lengths form an equilateral triangle. They do not satisfy the theorem.

Choice B: 9, 40, 41

The longest side length is 41.

[tex]41^2=1681[/tex]

[tex]40^2+9^2=1681[/tex]

Therefore:

[tex]41^2=40^2+9^2[/tex]

These side lengths form a right triangle.

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]

Therefore, the longest side length is [tex]\sqrt{125}[/tex]

[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]

These side lengths do not form a right triangle.

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

Answer:

Step-by-step explanation:

[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]

{√16 = 4 is rational}

Answer:

A. -259

B. inverse function is 1/2 √(-x-3)

Step-by-step explanation:

Here, we want to find f(8)

Simply substitute x = 8 in the equation.

The equation is

f(x) = -4x^2 -3

So f(8) = -4(8)^2-3

f(8) = -256-3

f(8) = -259

Inverse of f(x) = -4x^2 -3

Simply equate this to m

m = -4x^2-3

-4x^2 = m + 3

x^2 = (m + 3)/-4

x^2 = -m/4 -3/4

x = √(-m-3)/4

x = 1/2√(-m-3)

Put back the value of x for m

x = 1/2 √(-x-3)

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

Answer:

x≤7.8  ⇒(-∞;7.8]

x<7.8  ⇒ (-∞;7.8)

x>7.8  ⇒ (7.8; ∞)

x≥7.8  ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

Answer:

Step-by-step explanation:

Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)

Step-by-step explanation:

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In this question some information is missing that's why we explain "operating expenses".  

The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

Answer:

you need 2 cups of sugar

Step-by-step explanation:

1/2 cups of sugar = 3/4 cup of flour

x = 3 cups of flour

1/2*3 = 3/4x

3/2 = 3/4x

x =3/2 ÷ 3/4

x =2