Suppose that public opinion in a large city is 62% in favor of increasing taxes to support the after-school programs and 38% against such an increase. If an interview of the random sample of 450 people from this city is conducted, what is the approximate probability that more than 180 of these people will be against increasing taxes?

Answer:

C

Step-by-step explanation:

[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]

Therefore, the correct answer is C. Hope this helps!

Answer:

Interpreting as: x^2/3=x^1/3+4=6 A

Input:

x^2/3 = x^(1/3) + 4 = 6 A

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³

Simplify the expression, then we have

⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³

⇒ [(a² × b⁻¹) / (a⁻² × b²)]³

⇒ [(a⁴ / b³)]³

⇒ (a¹² / b⁹)

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

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Answer:

D. (b^3/a4)^-3

Step-by-step explanation:

boop boop edge dge

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

Answer:

March he sells 51. April he sells 107

Step-by-step explanation:

In jan he made 14 so we double that for feb and have 28.

From that 28 he takes home 5 so we are left with 23.

Then we double 28 for March to get 56 but he takes 5 home which leaves 51 to be sold and so on.

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]

[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]

[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

The first term is -4, second term is -1, third term is 4 and 10th term is 95.

a group of connected actions, moves, or things that happen in succession and have a specific order.

Given that,

The nth term of sequence = n² - 5          (1)

To find terms, Substitute values of n in equation (1),

Substitute n=1, the first term = 1-5 = -4

Substitute n=2, the second term = 4-5 = -1

Substitute n=3, the third term = 9-5 = 4

For 10th term, substitute n= 10,

10th term  = 100-5 = 95

First term =-4, second term = -1, third term = 4 and 10th term = 95.

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Answer:

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.

Answer:

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Step-by-step explanation:

Given

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Required

[tex]Find\ a,b,c[/tex]

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Open Bracket

[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]

Collect like terms

[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]

By comparing coefficients; we have

[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]

Remove all traces of x from both sides

[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]

From the first equation;

[tex]a = 2[/tex]

From the last equation

[tex]4c = -4[/tex]

Divide both sides by 4

[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]

[tex]c = \frac{-4}{4}[/tex]

[tex]c = -1[/tex]

Substitute -1 for c in the third equation

[tex]c+4b=3[/tex]

[tex]-1 + 4b = 3[/tex]

Add 1 to both sides

[tex]1-1 + 4b = 3+1[/tex]

[tex]4b = 4[/tex]

Divide both sides by 4

[tex]\frac{4b}{4} = \frac{4}{4}[/tex]

[tex]b = \frac{4}{4}[/tex]

[tex]b = 1[/tex]

Substitute 2 for a in the second equation [To confirm the value of b]

[tex]b+4(2)=9[/tex]

[tex]b + 8 = 9[/tex]

Subtract 8 from both sides

[tex]b + 8 - 8 = 9 - 8[/tex]

[tex]b = 1[/tex]

Hence;

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Answer:

A model with 12 squares labeled exact value and 3 squares labeled error.

Step-by-step explanation:

The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.

A model with 12 squares labeled exact value and 3 squares labeled error.

3/12 = 0.25

0.25*100 = 25%

This is the answer.

A model with 10 squares labeled exact value and 5 squares labeled error.

5/10 = 0.5

0.5*100 = 50%

A model with 9 squares labeled exact value and 3 squares labeled error.

3/9 = 0.3333

0.3333*100 = 33.33%

A model with 8 squares labeled exact value and 4 squares labeled error.

4/8 = 0.5

0.5*100 = 50%

Answer:

A

Step-by-step explanation:

edg 2020

Answer:

(x+0)^2-24

Step-by-step explanation:

use (b/2)^2 to complete the square.

Answer:

(x+0)^2-24

Step-by-step explanation:

I took ap math XD

Answer:

Step-by-step explanation:

B

Answer: B and D

Step-by-step explanation: A p e x

The value of the quadratic equation  3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and

D. {1 + √(-47)}/6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3x² - x + 4 = 0.

We know x = {- b ± √(b² - 4ac)/2a}.

∴ x = {+ 1 ± √(1 - 48)}/6.

x = {1 ± √(-47)}/6.

x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.

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Answer:

81.14 Earth days.

Step-by-step explanation:

Step 1

The formula to solve this question is given as

Speed = Distance / Time

In the question, we are given the following values

Distance of the planet = 74,000,000 km

Average Speed of the planet = 38,000 km/h.

Average Speed = Distance / Time

38,000 km/h = 74,000,000 km/ Time

Cross Multiply

38,000 km/h × Time = 74,000,000 km

Divide both sides by 38,000 km/h

Time(hours) = 74,000,000 km /38,000 km/h

Time(hours) = 1947.3684211 hours

This means the circular orbit of the planet around the star takes 1947.3684211 hours.

Step 2

In the question, we were asked to find how many Earth days it takes.

Hence, it is known that

24 hours = 1 (Earth) day

1947.3684211 hours = x days

We would cross Multiply

24 hours × x days = 1947.3684211 hours.

Divide both sides by 24 hours

x days = 1947.3684211 hours ÷ 24 hours

x days = 81.140350879 Earth days.

Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =

81.14 Earth days.

Answer:

f(x) = x² – 3

Step-by-step explanation:

Lemme try

f(x) = √(x + 3)

y = √(x + 3)

y² = x + 3

y² – 3 = x

Cz we gonna invers that, we'ld turn x to y and y to x, so:

x² – 3 = y

Yeah, inverse of the function is y=x²–3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula  

r=C  over 2π

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]

The building process is as follows:

Please find the attached file.

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Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

Answer:

The following are the solutions found for x:

+√2 + 0i

-√2 + 0i

0 + 3i

0 - 3i

Step-by-step explanation:

The given equation is:

x⁴ + 7x² - 18 = 0

Rewrite x4 as (x²)²

(x²)² + 7x² − 18 = 0

Let u = x²

u² + 7u − 18 = 0

Factorize:

u² + 9u - 2u - 18 = 0

u(u+9) -2(u+9) = 0

(u-2)(u+9) = 0

(x²-2)(x²+9) = 0

Seperate both equations:

x² - 2 = 0                     x² + 9 = 0

x = ±√2                       x = ±√-9

x = ±√2                       x = ± 3√-1

x = ±√2 + 0i                x = 0 ± 3i

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Answer:

x = 5

Step-by-step explanation:

Using similar triangles theorem

In similar triangles, ratio of their corresponding sides are equal.

Let the point where a line cuts BC = D

Length (AB/BD) = length(AC/CD)

15/3x = 9/(2x-1)

Cross multiply

15(2x-1) = 9(3x)

Expand the brackets

30x -15 = 27x

Collecting like terms

30x-27x = 15

3x = 15

Divide through by 3

x= 15/3

x= 5

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

Answer:

[tex]3[/tex]

Step-by-step explanation:

Write in the exponential form with a base of 3

[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]

Simplify the expression by multiplying the exponents.

[tex]2 * \frac{1}{2} = 1[/tex]

[tex]3^{1} = 3[/tex]

Answer:

w = 10 in

Step-by-step explanation:

Perimeter is the measure of the length of all sides

48 = 2L + 2w

L = w + 4

^ use substitution

48 = 2(w + 4) + 2w     simplify.

48 = 2w + 8 + 2w       combine like terms

48 = 4w + 8           then subtract 8 from both sides

40 = 4w     then divide by 4 to isolate w

10 = w

Answer: 2 hours

Step-by-step explanation:

The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h

Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.

Answer:

C. The lines are parallel because the slope of both lines is the same

Step-by-step explanation:

Parallel lines are formed when 2 lines have the same slope but different y-intercepts. Since the 2 given equations show this, the answer choice is C.