What is the maximum of the sinusoidal function?

Answer:

Final answer is $7.52.

Step-by-step explanation:

Given that initial amount P = $2000

Interest rate r = 4.6% = 0.046

Number of compounding periods per year = n = 2 {semiannually}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.046}{2}\right)^{2\left(2\right)}=2190.45[/tex]

Similarly calculate future value for 2nd case:

Given that initial amount P = $2000

Interest rate r = 4.4% = 0.044

Number of compounding periods per year = n = 4 {quarterly}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.044}{4}\right)^{4\left(2\right)}=2182.93[/tex]

then difference = 2190.45 - 2182.93 = 7.52

Hence final answer is $7.52.

Answer:

$7.52

Step-by-step explanation:

ANSWER

B.

[tex] < \: - 3, -2 \: > [/tex]

EXPLANATION

The given vectors are:

[tex]u = < \: - 3,5 \: > [/tex]

and

[tex]v= < \: 6, - 3\: > [/tex]

[tex] - u - v = - 1< \: - 3,5 \: > -1 < \: 6, - 3\: > [/tex]

Use the scalar to multiply and obtain;

[tex] - u - v = < \: 3, - 5 \: > + < \: - 6, 3\: > [/tex]

Simplify to get:

[tex]- u - v = < \: 3 - 6, - 5 + 3 \: > [/tex]

[tex]- u - v = < \: - 3, -2 \: > [/tex]

To find the component form of -u - v, subtract the x-components and y-components separately. The x-component is 3, and the y-component is -2.

The component form of -u - v can be found by subtracting the x-components and the y-components of u and v separately. Given that u=(-3,5) and v =(6,-3), the x-component of -u - v is -(-3) - 6 = -3 + 6 = 3, and the y-component is -(5) - (-3) = -5 + 3 = -2.

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Answer:

D or "(4.4 + 4.8)

         _______

                2

Step-by-step explanation: I got it right on USA Test Prep

Answer:

[tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

Given function is [tex]f\left(x\right)=-2\sqrt{x-3}+8[/tex].

Now let's find it's range.

we know that square root function always gives positive output then:

[tex]\sqrt{x-3}\ge0[/tex]

[tex]-2\sqrt{x-3}\le-2\left(0\right)[/tex]

[tex]-2\sqrt{x-3}\le0[/tex]

[tex]-2\sqrt{x-3}+8\le0+8[/tex]

[tex]-2\sqrt{x-3}+8\le 8[/tex]

[tex]f(x) \le 8[/tex]

Hence range of the function is [tex](-\infty,8][/tex].

we can repeat same process to find the range of all the given choices.

we will find that only 3rd choice has same range.

Hence final answer is [tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

540 = a/11

5940 = x

Answer: x = 5940

Answer: [tex]a=5,940[/tex]

Step-by-step explanation:

Given the equation [tex]540=\frac{a}{11}[/tex], you need to find the value of "a", then, you need to solve for "a".

You need to apply the Multiplication property of equality, which establishes that:

[tex]If\ a=b,\ then\ a*c=b*c[/tex]

Therefore, based on this property, you can multiply both sides of the equation by 11.

Then, you get the following solution:

[tex](11)(540)=(\frac{a}{11})(11)\\\\a=5,940[/tex]

Answer:

I made the problem in a photo so you could do it for the next

Answer:

Option D (APEX)

Step-by-step explanation:

L= Student has lice

NL= Student has no lice

PT=Test Shows positive

NT=Test Shows negative

P([tex]\frac{NT}{NL}[/tex]) =0.7708 (Probability that a student has no lice and the test shows negative)

P([tex]\frac{NT}{L}[/tex]) = 0.0108 ( Probability that a student has lice and the test shows negative)

Terms Of Percentages

0.98618219 × 100

=98.6

Therefore your answer is 98.6% (Option D)

APEX

The probability that the student doesn't have lice, given that the student tested negative is P ( A ) = 98.6 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student doesn't have lice, given that the student tested negative be P ( A )

Now , the equation will be

The probability that a student has no lice and the test shows negative is given by P ( NL ) = 0.7708

The probability that a student has lice and the test shows negative is given by P ( L ) = 0.0108

And , The probability that the student doesn't have lice, given that the student tested negative P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

On simplifying , we get

P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

P ( A ) = ( 0.7708 ) / [ 0.7708 + 0.0108 ]

P ( A ) = 0.98618

P ( A ) = 98.6 %

Hence , the probability is 98.6 %

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Answer:

322 Unpopular songs

Step-by-step explanation:

If Becky has 88 total popular songs, and she wrote a total of 410 songs, it is simply subtracting her popular songs from her total songs.

410 - 88 = 322

Answer:

D

Step-by-step explanation:

I just took the test on E2020

Answer:

Option D. $119.25

Step-by-step explanation:

Today's stock listing for Parchar Special Effects shown below.

52 wk high  =  160.44

52 wk low   =   81.91

Symbol        =  PCR

Div.              = 7.55

Close           =  114.36

Net change = -4.89

Based on this information today's close is $114.36 and Net change is -4.89. It means the value of yesterday was 4.89 more than today's close.

Therefore, yesterday's price = 114.36 + 4.89 = $119.25

Yesterday's price was $119.25.

Answer:

2x^9

Step-by-step explanation:

∛8x^27

=∛(2x^9)^3

= 2x^9

Cube root of 8x^27 = 512.

In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.

∛8x^27

=∛(2x^9)^3

= 2x^9

= 512.

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Answer:

362880

Step-by-step explanation:

9! is read as 9 factorial.

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 362880

Answer:

362,880

9! is also know as 9x all the numbers lower then it, so it would be 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

If you multiply all of those digits together, your result would be 362,880.

Answer:

1. area

2. circle

3. equilateral

4. length

5. perimeter

6. polygon

7. regular polygon

8. trapezoid

9. legs

10. area of a circle

11. hexagon

12. octagon

13. inscribed polygon

14. apothem

15. composite figure

Step-by-step explanation:

Answer

2(3)=6 + 2 = 8

The value of x will be;

⇒ x = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

C = 3 and d = 2,

And, The equation is,

⇒ x = 2C + d

Here,

The values are,

⇒ C = 3 and d = 2,

Substitute above value in equation , we get;

⇒ x = 2C + d

⇒ x = 2 × 3 + 2

⇒ x = 6 + 2

⇒ x = 8

Thus, The value of x = 8.

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Answer:

right and obtuse

Step-by-step explanation:

a right triangle has one right angle and two acute angles, and an obtuse triangle has one obtuse angle and two acute ones

i hope that this helps :)

Answer:

[tex]\large\boxed{x\approx3.1950}[/tex]

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}[/tex]

[tex]3x=\log_23+8\qquad\text{divide both sides by 3}\\\\x=\dfrac{\log_23+8}{3}\\\\\log_23\approx1.5849625\\\\x\approx\dfrac{1.5849625+8}{3}\approx3.1950[/tex]

Answer:

B

Step-by-step explanation:

edge 2020

I think it’s 12 table I believe

ANSWER

The recursive formula is

[tex]a_n = a_ {n - 1}+ 4[/tex]

EXPLANATION

The given sequence is 12,16,20,24,28

The first term of this sequence is

[tex]a_1=12[/tex]

The common difference is

d=16-12

d=4

The recursive formula is given by

[tex]a_n = a_ {n - 1}+ d[/tex]

So we need to substitute the known values to get

[tex]a_n = a_ {n - 1}+ 4[/tex]

Answer:

5x + 6 : 2x² + 12x

Step-by-step explanation:

Width = 4x

Length = x + 6

Perimeter

= 2(4x + x + 6)

= 2(5x + 6)

Area

= 4x(x + 6)

Ratio of perimeter to area:

= 2(5x + 6) : 4x(x + 6)

= (5x + 6) : 2x(x + 6)

= 5x + 6 : 2x² + 12x

Answer:

(5x + 6) : (2x² + 12x)

Step-by-step explanation:

Perimeter = 2(length + width)

= 2[4x + x + 6]

= 2(5x + 6)

Area = length × width

4x × (x + 6)

4x(x + 6)

Perimeter : Area

2(5x + 6) : 4x(x + 6)

(5x + 6) : (2x² + 12x)

Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False

The rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

In a graph, the terms "rise" and "run" refer to the vertical and horizontal changes between two points on a line, respectively.

Here,
The rise of a line in the xy-plane is the vertical change between two points on the line, which is measured as the difference between their y-coordinates. The rise is sometimes also called the vertical distance or the vertical change.

Thus, the rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

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Answer:

30%

Step-by-step explanation:

1) Find the amount of time left to complete

60 minutes total - 42 minutes already played = 18 minutes left

2) Divide the amount of minutes left by the total minutes

18 minutes left ÷ 60 minutes total = 0.3

3) Multiply that value by 100 to turn the decimal into a percent

0.3 * 100 = 30%

Answer:

30%

Step-by-step explanation:

The answer is thirty percent. One way to solve this problem is to start by finding what percent of Vanessa’s practice time forty-two minutes represents.

Let p represent the unknown percent, and set up a proportion that compares the like ratios of parts to wholes.

Divide out the like minutes and cross multiply.

Divide both sides by sixty to solve for the percent of time Vanessa has already practiced.

Subtract seventy percent from one hundred percent to determine the percent of time she has left to practice.

Vanessa still has thirty percent of her practice time to complete.

7y+3

combine like terms.

Hey there!

4y + 3y + 8 - 5

COMBINE the LIKE TERMS

= (4y + 3y) + (8 - 5)

= 4y + 3y + 8 - 5

= 7y + 3

Therefore, your answer is: 7y + 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 15•5= 75

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The initial amount of trees planted is 1,500, so answers B and D are out. The number that is raised to years (t) is 1.02, and since 1.02 is greater than 1, the number of trees planter per year is growing, and the .02 means that it is growing at 2% because 0.02 * 100 = 2%

Answer:

Step-by-step explanation:

C is correct.  The initial number (of trees) was 1500, and that 2% translates into 1.02 inside the parentheses.

Answer:

ANSWER: D AA, x = 5 1/3  

Calculation:  

x/8 = 10/15  

x = (10/15)(8)  

x = 5 1/3  

Step-by-step explanation:

Answer: AA postulate

Step-by-step explanation:

The z-score formula is:

x - mean / standard deviation

x = her height.

Z-score = (50 - 49) / 2

z-score = 1/2 = 0.5

The simplified form of 18^1/2 is 3√2

Given the exponential expression

18^1/2

According to power law of Indices:

a½ = \sqrt{a}

Applying this law to the given expression;

This can also be written as:

[tex]18^{1/2} =\sqrt{18}[/tex]

Simplify the radical to have:

[tex]\sqrt{18} = \sqrt{9 \times 2} \\\sqrt{18} = 3\sqrt{2}[/tex]

Hence the simplified form of 18^1/2 is 3√2

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Answer:

The correct option is B. The length of OB' is 3 units.

Step-by-step explanation:

The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.

[tex]\text{Scale factor}=\frac{\text{Distance between center and any point of the image}}{\text{Distance between center and corresponding point of the Preimage}}[/tex]

[tex]\text{Scale factor}=\frac{OB'}{OB}[/tex]

[tex]4=\frac{OB'}{\frac{3}{4}}[/tex]

[tex]4\times \frac{3}{4}=OB'[/tex]

[tex]3=OB'[/tex]

The length of OB' is 3 units. Therefore the correct option is option is B.

Answer:

B on edge

Step-by-step explanation:

Answer:

b = 8sqrt(3)

Step-by-step explanation:

The triangle has a 30-deg angle and a right angle, so the third angle measures 60 degrees making this a 30-60-90 degree right triangle.

You don't mention which method to use to solve the problem.

You can use trigonometry ratios or the ratios of the lenghts of the sides of a 30-60-90 triangle

I'll use the second method.

In a 30-60-90 triangle, the lengths of the sides are in the ratio:

1 : sqrt(3) : 2

The long leg measures 12 and corresponds to sqrt(3) in the ratio, so we can find the length of the short leg by dividing 12 by sqrt(3).

12/sqrt(3) = [4 * sqrt(3) * sqrt(3)]/sqrt(3) = 4sqrt(3)

The hypotenuse is twice the length of the short leg.

b = 2 * 4sqrt(3) = 8sqrt(3)

The value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

From the cos ratio:

cos30 = 12/b

b = 12/cos30

b = 12/(√3/2)

After factorization:

b = (24√3)/3

b = 8√3

Thus, the value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

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Answer:

[tex]n=7[/tex]

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7[/tex]

Plug back in to check.

[tex]\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857[/tex]

Answer:

7

Step-by-step explanation:

I did it and it was correct! Please make me brainliest!

Hope this helpd! :)

Answer:

[tex]y=2x-8[/tex]

Step-by-step explanation:

Isolate the variable and divide by the coefficient to solve for a variable.

[tex]6x-3y=24 \\ \\ -3y=-6x+24 \\ \\ y=2x-8[/tex]

Answer:

y = 2x - 8

Step-by-step explanation:

=> 6x - 3y = 24

=> -3y = 24 - 6x

=> 3y = 6x - 24

=> y = 2x - 8

the answer to the problem would be c

ANSWER

The correct choice is C.

EXPLANATION

We know that:

[tex] \sqrt[3]{7} = {7}^{ \frac{1}{3} } [/tex]

We want to simplify:

[tex]( { {7}^{ \frac{1}{3} } )}^{3} [/tex]

The exponent here is 3. This means that the base must multiply itself 3 times.

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

This implies that,

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} } [/tex]

Simplify:

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{3}{3}} [/tex]

[tex]( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ 1} = 7[/tex]

The correct choice is C