choose the correct equation(s) for the function shown in the graph. Select all that apply. (There is more than one answer) y = 2cos2(x • π/2) y = -2sin2 x y = -2cos(2 x - π/2) y = 2sin2( x - π/2)

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: 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:

$24123.20

Step-by-step explanation:

Remember your compounded interest rate formula: A = P(1 + r/n)^nt

Step 1: Write in known variables

26000 = P(1 + 0.025/12)^36

Step 2: Solve for P

26000 = P(1.0778)

P = 26000/1.0778

P = 24123.2

And we have our final answer!

Answer:

Option B. 7/11

Step-by-step explanation:

The following data were obtained from the question:

Sin x = 7/11

Cos(90 – x) =..?

The value of Cos(90 – x) can simply be obtained as follow:

Recall:

Sin x = Cos(90 – x)

Sin x = 7/11

7/11 = Cos(90 – x)

Therefore, the value of Cos(90 – x) is simply 7/11.

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Or else it will give you an incorrect calculation

Answer:

c-6:16

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]=[tex]\frac{6}{16}[/tex]

all you need to do is multiply by 2 but they are proportional/equivalent

Answer:

i would say it C 6 16

Step-by-step explanation:

because i said so

Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

Subtract 4 from each side

2x + 4-4 > 16-4

2x> 12

Divide by 2

2x/2 > 12/2

x > 6

Answer:

A. X>6

2 (7) + 4 > 16

14 + 4 > 16

18 > 16

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:

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:

38

Step-by-step explanation:

An outlier is a data point on a graph or in a set of results that is much bigger or smaller than the next nearest data point. The numbers given are within 1-3 points away from the previous number, except for 38, which is 14 points away from 24. Organize the numbers in order from least to greatest to see this better.

13, 14, 16, 17, 18, 21, 24, 38

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:

6.65105386*10^5

A

Step-by-step explanation:

(5.68*10^-3)/(8.54 *10^-9

when divide negative over negative it gives positive

10^-3 / 10^-9=10^6

5.68/8.54=0.665

0.665*10^6=6.65*10^5

6.65105386*10^5

Answer:

A.

Step-by-step explanation:

Answer:

A-2/9

Step-by-step explanation:

assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)

3x3=9

he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.

so I think it would be 2/9

Answer:

5/9

Step-by-step explanation:

Hello,

To continue on the same logic as for other questions, let s check the possible outcomes, they are 9

First draw  second draw  sum of the value  Is it >= 30c?

dimes   dimes   20  

dimes   nickels   15  

dimes   quarters          35      Yes

nickels   dimes   15  

nickels   nickels   10  

nickels   quarters          30      Yes

quarters          dimes   35      Yes

quarters          nickels   30      Yes

quarters          quarters          50      Yes

For only 5 the sum is >= 30c

so the probability is 5/9

hope this helps

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:

Catcher's number = 17

Pitcher's number = 18

Step-by-step explanation:

Let two consecutive numbers be represented by x and (x + 1)

Hence,their product

= x(x + 1) = 306

= x² + x - 306 = 0

We factorise

= x² + 18x - 17x - 306 = 0

= x(x + 18) - 17(x + 18) = 0

= (x + 18)(x - 17) = 0

x + 18 = 0 = -18

x - 17 = 0 = 17

x = 17 and -18

Our answer can't be a negative integer

Hence x = 17

The second consecutive integer = x + 1

= 17 + 1 = 18

Hence the uniform numbers are 17 and 18.

We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.

Therefore,

The Catcher's uniform number = 17

The Pitcher's uniform number = 18

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3+5= 8 so possible 3 rd side is 7

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4+7= 11 so possible 3rd side is 9

4+9= 13 so possible 3rd side is 12

5+7= 12 so possible 3rd side is 9

5+9= 14 so possible 3rd side is 12

7+9= 16 so possible 3rd side is 12

So the possible 9 combinations are:

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:

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:

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

Answer:A And B

Step-by-step explanation:

The true stetement is:

The standard deviation of B is greater than the standard deviation of A.

1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.

Therefore, this statement is false.

2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.

3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.

4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.

5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.

Therefore, this statement is true.

6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.

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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:

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:

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:

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:

Answer is given below with explanations.

Step-by-step explanation:

[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]

Questions are not clearly visible for me.

So forgive me.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

[tex]927[/tex]

Step-by-step explanation:

[tex]900 \times (1+0.6\%)^5[/tex]

[tex]900 \times (1+0.6/100)^5[/tex]

[tex]900 \times (1+0.006)^5[/tex]

[tex]900 \times (1.006)^5[/tex]

[tex]900\times \:1.03036[/tex]

[tex]927.32594[/tex]

Answer:

927

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 0.6 % of 900

=> [tex]\frac{0.6}{100}* 900[/tex]

=> 0.6 * 9

=> 5.4

Rate of increase in 5 years = 5 * 5.4

= 27

Population after five years = 900+27

=> 927

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: 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:

Step-by-step explanation:

6

2

11,034

70 ml/s

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]