F(x)=4x+5whsts the value of. F(-3). Is

The correct answer is U - II = I + III + IV.

In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.

c represent the compliment of the particular state.

U is the union set

∩ represent intersection between the neighbouring sets

Therefore,

Bc = U - B = I + II

Bc∩A = Area common in Bc and A = II

(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV

So, answer is d.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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We can find the point that is a solution to this system of linear equations by looking at the shaded region of the graph and determining which of the following points is included inside the shaded region.

By looking at the graph, we can determine that (5,8), (-7,-7), and (6,-3) are not part of the shaded region.

The point (4,4) is the only point that is included in the shaded region, inclusive on the red line.

Therefore, D) (4,4) is a solution to this system of linear inequalities.

The measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

When a transversal line cuts a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠4 + 60° + 61° = 180° {supplementary angles}

m∠4 + 121° = 180°

m∠4 = 180° - 121° {subtract 121° from both sides}

m∠4 = 59°.

Therefore, the measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

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To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.

First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):

W(y1, y2) = | y1 y2 |

| y1' y2' |

We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:

y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))

y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))

Substituting these values into the Wronskian:

W(y1, y2) = | sin(x) / √x cos(x) / √x |

| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |

Expanding the determinant:

W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))

Simplifying:

W(y1, y2) = -1 / (2√x)

Now, we can find the particular solution using the variation of parameters formula:

y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx

Here, g(x) = 3x√xsin(x). Substituting the values:

y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx

Simplifying the integrals:

y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)

Integrating:

y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C

Simplifying:

y_p(x) = 3x(sin^2(x) - cos^2(x)) + C

The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:

y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C

where C1, C2, and C are arbitrary constants.

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

Answer:B

Step-by-step explanation:y=3x;30 feet

Answer:

y = -100/13

Step-by-step explanation:

To solve this equation, we can first get all the terms containing the variable y on one side of the equation and all the constant terms on the other side. We can do this by subtracting 25 from both sides of the equation:

5/13y + 25 - 25 = 0 - 25

This gives us:

5/13y = -25

Next, we can divide both sides of the equation by 5/13 to get rid of the fraction:

(5/13y) / (5/13) = (-25) / (5/13)

This simplifies to:

y = -100/13

Therefore, the solution to the equation is y = -100/13.

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The value of given expression is 27.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 6²-(8-4)²+7.

Here, 6²-(8-4)²+7

= 6²-(4)²+7

= 36-16+7

= 20+7

= 27

Therefore, the value of given expression is 27.

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Answer:

the answer is B this other guy messed up his math trust me i know it's right

Step-by-step explanation:

if you add up all the numbers it equals 27 squar units

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18\(x^4\)– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

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Answer:

x=6-x2-y

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

add x2 to both side

Subtract 6 from both sides.

Divide both sides by −1.

Dividing by −1 undoes the multiplication by −1.

Divide y+x2 −6 by −1.

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\(\sf\longrightarrow sin^2\theta + cos^2\theta = 1 \)

Imagine a right angled triangle with one of its acute angle as \(\theta\) .

\(\sf\longrightarrow sin\theta =\dfrac{p}{h} \\\)

\(\sf\longrightarrow cos\theta =\dfrac{b}{h} \)

And by Pythagoras theorem ,

\(\sf\longrightarrow h^2 = p^2+b^2 \dots (i) \)

Where the symbols have their usual meaning.

Now , taking LHS ,

\(\sf\longrightarrow sin^2\theta +cos^2\theta \)

\(\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\\)

\(\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\ \)

\(\sf\longrightarrow \dfrac{p^2+b^2}{h^2} \)

\(\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\ \)

\(\sf\longrightarrow \bf 1 = RHS \)

Since LHS = RHS ,

Hence Proved !

I hope this helps.

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.

According to the question,

We have the following system of equations:

x+y = 3 .....(1)

4x-y = 7 ....(2)

Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.

We can solve these equations by adding as follows:

x-y+4x+y = 3+7

5x = 10

x = 10/5

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

2+y = 3

y = 3-2

y = 1

Hence, the correct option is B.

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Answer:

Step-by-step explanation:

The volume of the prism:

If each of the dimensions is doubled, then the volume becomes:

The larger prism has 8 times greater volume

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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Answer:

36

Step-by-step explanation:

since there are six outcomes for the spinner and six outcomes for the cube,

6 x 6 = 36

The work required to pump the water out of the spout is 12,249.7 pi J.

Let's assume that the radius of the tank is 6 ft, the radius of the spout is 12 ft, and the height of the water in the tank is 16 ft.

To calculate the work required to pump the water out of the spout, we'll need to use the equation: W = (4/3)πr2(h+R-r) ρg where W is the work required, π is pi (3.1415), r is the radius of the tank, R is the radius of the spout, h is the height of the water in the tank, and ρg is the density of water (62.5 lb/ft3).

Plugging in our values, we get:

W = (4/3)π(6 ft)2(16 ft + 12 ft - 6 ft) (62.5 lb/ft3)

W = (4/3)π(36 ft2) (34 ft) (62.5 lb/ft3)

W = (4/3)π(2268 ft3) (62.5 lb/ft3)

W = 12,249.7 pi J

Therefore, the work required to pump the water out of the spout is 12,249.7 pi J.

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Answer: 5/6 as a decimal is 0.833

Step-by-step explanation:

just divide 5 by 6

p-value is a measure of the probability that an observed difference could have occurred just by random chance.

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

1340 = 1.34 x 10^3

Remember that scientific notation has a number between 1 and 10 multiplied by 10 to a certain power. To find the exponent, count the number of times you moved the decimal point.

Hope this helps!! :)

Answer:

17,190.79 cm ³

Step-by-step explanation:

24429.02 - 7238.23

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

8 km

Step-by-step explanation:

0.25 x 32 = 8

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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