The graphs of two sine functions are shown below.




The function whose graph is B was obtained from the function whose graph is A by one of the following changes. That change was:

a phase shift

a period change

a change in amplitude

the addition of a negative constant

Answer:

[tex]\$32,526.28[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ A=\$50,000\\ r=0.043\\n=365[/tex]  

substitute in the formula above  

[tex]\$50,000=P(1+\frac{0.043}{365})^{365*10}[/tex]  

[tex]P=\$50,000/[(1+\frac{0.043}{365})^{3,650}]=\$32,526.28[/tex]  

Answer:

He will pay 916

Step-by-step explanation:

Answer:Options 'A' and 'C' are correct.

Step-by-step explanation:

Let the number of sheep be 's'.

Let the number of goats be 'g'.

According to question, we have given that

the number of sheep and goats are not more than 43.

The number of goats are fewer than 22.

So, the inequalities would be

[tex]g<22\\\\and\\\\s+g<43[/tex]

Hence, Options 'A' and 'C' are correct.

The two inequalities for Harold's sheep and goats situation are A. g < 22 and C. s + g ≤ 43.

To represent the situation described about Harold's sheep and goats, we need to set up two inequalities based on the given information:

Using these inequalities, we can help Harold determine how to distribute his sheep and goats in the new field.

What is your question??

Answer:

The wide would be 7.2 cm

Step-by-step explanation:

Let

x------> the wide of the proportional wall map

we know that

Using proportion

45/27=12/x

x=27*12/45

x=7.2 cm

Answer:

x = -16/7

Step-by-step explanation:

The equation as written reduces to finding the solution to a 7th-degree polynomial. The one real solution, found using a graphing calculator, is ...

x ≈ 1.60945071137

_____

Since this is beyond the scope of most algebra courses, we suspect you want the solution to ...

e^(x-2) = (1/e^6)^(x+3)

x -2 = -6(x +3) . . . . . . . . take the natural log of both sides

x -2 = -6x -18 . . . . . . . . . eliminate parentheses

7x -2 = -18 . . . . . . . . . . . add 6x

7x = -16 . . . . . . . . . . . . . add 2

x = -16/7

Answer:

The measure of angle EYL is [tex]45\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

Let

x-----> the measure of arc EVL

y----> the measure of arc EHL

[tex]m<EYL=\frac{1}{2}(x-y)[/tex]

[tex]m<EYL=\frac{1}{3}(y)[/tex]

so

[tex]\frac{1}{3}y=\frac{1}{2}(x-y)[/tex]

Multiply by 6 both sides

[tex]2y=3x-3y[/tex]

[tex]3x=5y[/tex]

[tex]x=\frac{5}{3}y[/tex] -----> equation A

[tex]x+y=360\°[/tex] -----> equation B  ( is a complete circle)

substitute equation A in equation B

[tex]\frac{5}{3}y+y=360\°[/tex]

[tex]\frac{8}{3}y=360\°[/tex]

[tex]y=(360\°)*(3)/8=135\°[/tex]

Find the value of x

[tex]x=\frac{5}{3}(135\°)=225\°[/tex]

Find the measure of angle EYL

[tex]m<EYL=\frac{1}{2}(x-y)[/tex]

substitute the values

[tex]m<EYL=\frac{1}{2}(225\°-135\°)=45\°[/tex]

Answer:144

Step-by-step explanation: 144 since width times length times height equals volume. so 5 times 2 times ? equals 1440.  So 10 times ? equals 1440.  So next 1440 divided by 10 equals 144.  So the answer is 144.

Answer:

Step-by-step explanation:

144 cm.

Answer:

The right answer is 3a - 11 ≤ 7 ⇒ 4th answer

Step-by-step explanation:

* Lets study the problem

- From the figure

# The blue line started from 6 and the point is bold that means

   the inequality sign is ≤ or ≥

# The blue line started from 6 and moved to the negative numbers

   that means the inequality is less than or equal

∴ a ≤ 6

* Now lets look to the answers

- There is only one answer has the sign ≤ , the last answer

* Now lets solve it to be sure

∵ 3a - 11 ≤ 7 ⇒ add 11 to the both sides

∴ 3a ≤ 18 ⇒ divide the both sides by 3

∴ a ≤ 6

* The right answer is 3a - 11 ≤ 7

Answer:

He earned 120% out of 150%.

Step-by-step explanation:

The test is work 150 points, while each question being 10 points each, so we can divide this and we will get 15 questions. Then we can just multiple, 10 by 12 and get 120, this means he got 12 out of 15 questions right, or 120%out of 150%.

Answer:

86.19°

Step-by-step explanation:

Let x represent the missing value.

The given trigonometric equation becomes:

[tex]\tan x=15[/tex]

We take the inverse tangent of both sides to obtain:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(15)[/tex]

This implies that;

[tex]x=\tan^{-1}(15)[/tex]

We use at least a scientific calculator to evaluate this and obtain:

[tex]x=86.18592517\degree[/tex]

To the nearest hundredth, the missing value is [tex]x=86.19\degree[/tex]

First Place Vote: 4x867= 3468

Second Place Vote: 2x301= 602

Third Place Vote: 1x432= 432

3468+602+432= 4502.

Your answer is therefore D.

I hope this helps! :)

Answer:

D) 4502

Step-by-step explanation:

It is given that,

Points for first place = 4 points

Second place = 2 points

Third place = 1 point

Thus, First Place Vote : 4 × 867 = 3468

Second Place Vote: 2 × 301= 602

Third Place Vote: 1 × 432= 432

Thus, Total Points = 3468 + 602 + 432 = 4502.

Hence, last option is correct.

Answer:

F

Step-by-step explanation:

You have to divide the the total number of yards lost (so 56) by 4 quarters. We know that lost yards are negative so therefore -56 divided by 4 is the answer

Answer:

Step-by-step explanation:

This is a special die.  Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two:  {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten:  {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6.  But one of the outcomes is found in both result sets:  10.  Getting a multiple of 10 is already included in the event that the outcome is a multiple of two.  My answer here would be 3/6, or 1/2.

the probability of rolling a multiple of two or ten is 4/6, which simplifies to 2/3.

The probability of rolling a multiple of two or ten on a die numbered 9 through 14 can be calculated as follows:

\

Answer: FIRST OPTION

Step-by-step explanation:

You need the formula for calculate the arc lenght:

[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]

Where  "r" is the radius and and "C" is the central angle in degrees.

You know that the radius is:

[tex]r=7.5[/tex]

And the central angle ∠CAT is:

[tex]C=\angle CAT=125\°[/tex]

Then, you need to substitute these values into the formula  [tex]arc\ length=2\pi r(\frac{C}{360})[/tex] to calculate the length of CT.

Then, this is:

 [tex]arc\ length=CT=2\pi (7.5)(\frac{125\°}{360})[/tex]

[tex]arc\ length=CT=16.4[/tex]

Answer:

t = 3.1 seconds

Step-by-step explanation:

Set the equation h = -16t^2 + 40t + 30 equal to 0 (0 represents ground level).

Then h = -16t^2 + 40t + 30 = 0

Applying the quadratic formula with a = -16, b = 40 and c = 30,

      -40 ± √( 1600 - 4[-16][30] )

t = -----------------------------------------

                  2(-16)

      -40 ± √ 3520

t = -------------------------

             -32

                                                                               -40 - 59.33

Only the positive t value makes sense.  It is t = ------------------

                                                                                      -32

t = 3.1 seconds

1.8y is the answer because first you do 3/4y into a decimals number and then it’s 0.75 then I times it by 2.4 which is 1.8y

To solve the equation 3/4 y = 2.4x for y, we multiply both sides of the equation by 4/3 to eliminate the fraction. Simplifying the equation gives us y = 3.2x. The constant of proportionality in this equation is 3.2.

To solve the equation 3/4 y = 2.4x for y, we need to isolate y on one side of the equation. First, we can multiply both sides of the equation by 4/3 to eliminate the fraction:

3/4 * y = 2.4x

y = (2.4x)/(3/4)

Next, we can simplify the equation by multiplying the numerator and denominator of the fraction by the reciprocal of 3/4, which is 4/3:

y = (2.4x) * (4/3)

y = (9.6x)/3

y = 3.2x

Therefore, the equation 3/4 y = 2.4x can be solved for y to give the expression y = 3.2x. The constant of proportionality in this equation is 3.2, which indicates that y is directly proportional to x with a scale factor of 3.2.

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Answer:4.64

Step-by-step explanation: I took the test on this and it was correct

Answer:

4.64

Step-by-step explanation:

bcuz sir ghost said so

The domain is the set of all point where you can evaluate the function.

As you can see, the first piece is defined from -infinity to 2 (included).

The second piece is defined from 2 to 6 (excluded).

The third piece is defined from 6 (excluded) to +infinity.

So, the domain of the function is composed by all the real numbers which are not 6:

[tex](-\infty,6)\cup(6,\infty) = \mathbb{R}\setminus\{6\} = \{x \in \mathbb{R}\ :\ x\neq 6\}[/tex]

As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.

The second piece is constantly equal to 2, so it adds nothing.

The third piece spans the y axis from -2 to -infinity, so the range is

[tex](-\infty,-2)\cup[0,\infty) = \mathbb{R}\setminus [2,0) = \{x \in \mathbb{R}\ :\ x\geq 0\ \lor\ x<-2\}[/tex]

The domain is the set of all point where you can evaluate the function.

As you can see, the first piece is defined from -infinity to 2 (included).

The second piece is defined from 2 to 6 (excluded).

The third piece is defined from 6 (excluded) to +infinity.

So, the domain of the function is composed by all the real numbers which are not 6:

As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.

The second piece is constantly equal to 2, so it adds nothing.

The third piece spans the y axis from -2 to -infinity, so the range is

Answer:

The height of the prism is [tex]1\frac{1}{6}[/tex] units ⇒ answer a

The number of blocks needed is 133 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of a rectangular prism is

→ V = Area of the base × its height

- The volume of the rectangular prism is [tex]3\frac{25}{36}[/tex] units³

- The area of its base is [tex]3\frac{1}{6}[/tex] units²

- Substitute the values of the volume and area of the base in the rule

∴ [tex]3\frac{25}{36}=3\frac{1}{6}*h[/tex]

- Divide the two sides by [tex]3\frac{1}{6}[/tex]

∴ [tex]h=\frac{7}{6}=1\frac{1}{6}[/tex] units

* The height of the prism is [tex]1\frac{1}{6}[/tex] units

- The volume of each cubic block is [tex]\frac{1}{36}[/tex] units³

- The number of blocks = volume of the prism ÷ volume of the block

∵ The volume of the prism is [tex]3\frac{25}{36}[/tex] units³

∵ The volume of each block is [tex]\frac{1}{36}[/tex] units³

∴ The number of blocks = [tex]3\frac{25}{36}[/tex] ÷ [tex]\frac{1}{36}=133[/tex]

∴ The number of blocks = 133

* The number of blocks needed is 133

Answer:

1st one is 1 1/6

2nd one is 133

I did the test on Plato and this was right :)

Answer:

D! found it out for the brainly gang:)

Step-by-step explanation:

The expression represents the volume of the cone that is times the volume of the pyramid that it fits inside is Pi/4(4r²/3).

We have given that the expression represents the volume of the cone

that is times the volume of the pyramid that it fits inside

(2r^2h) (4r^2h)

The formula for the volume of a cone is ⅓ r^2h cubic units.

where r is the radius of the circular base and h is the height of the cone.

Therefore from the given we get the volume of a pyramid is Pi/4(4r²/3).

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Answer:

x^2 + y^2 + 6x - 8y + 21= 0.

Step-by-step explanation:

The center of this circle is (-3, 4) and the radius id 2.

So in Standard form, the equation is:

(x + 3)^2 + ( y - 4)^2 = 2^2

Converting to General form we have:

x^2 + 6x + 9  + y^2 - 8y + 16 = 4

x^2 + y^2 + 6x - 8y + 9 + 16 - 4 = 0

x^2 + y^2 + 6x - 8y + 21= 0.

Answer: 5/6

Step-by-step explanation:

Add both of the fractions.

1/6+ 2/3

Need to make the denominator the same for both fractions.

Denominator would be 6. Multiply by 2 up and down for 2/3

1/6+4/6

5/6

Answer:

5 · a³ · b³ · √5b

Step-by-step explanation:

Start with √(50a^6b^7).  Rewrite 50 as the product of the largest possible perfect square and a multiplier:  50 = 25 · 2.  Then √50 = 5√2.

a^6 is already a perfect square, so find its square root:  √a^6 = a^3.

b^7 = b · b^6, so √b^7 = b^3√b

Now rewrite (50(a^6) (b^7)) as √(50a^6b^7).

Then rewrite √(50a^6b^7) as 5√2 · a³ · b³ · √b.

This latter result can be simplified to 5 · a³ · b³ · √5b

This matches possible answer #1.

Answer:

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Step-by-step explanation:

First arrange the data set 76, 100, 88, 83, 97, 94, 90, 99, 82, 86, 95, 81, 79, 95 in ascending order:

76, 79, 81, 82, 83, 86, 88, 90, 94, 95, 95, 97, 99, 100

The minimum number is 76 and the maximum number is 100. There are 14 numbers, the median is the average of two middle terms:

[tex]Med=\dfrac{88+90}{2}=89[/tex]

The middle term of first 7 numbers is 82 and the middle term of the second seven numbers is 95, so the five-number summary is

Min: 76

Q1: 82

Med: 89

Q2: 95

Max: 100

Answer:

Five more than the square of a number= 5 + x²

Five more than twice a number = 5 + 2x

Five less than the product of 3 and a number = 3x - 5

Five less the product of 3 and a number = 5 -3x

Twice the sum of a number and 5 = 2(x + 5)

The sum of twice a number and 5 = 2x + 5

The product of a cube of a number and 5= 5x³

The cube of the product of 5 and a number= (5x)³

Olá

Answer:

(5x)³=

(5x) ao cubo  

5.5.5=125X³

2(x+5)= 2x+10

             2x=10

              x=10/2

                X=5

2x+5= 2x - 5 = 0  

2x = 0 + 5  

2x = 5  

x = 5/2

3x-5= 3x= +5

           X= 5/3 or X= 1,6

5+2x= 2x=-5

            X= -5/2

5+x²= x²+5  a=1 b= 5 c=0

5²-4.1.0 (corta,pois -4.1.0=0)

=25  

x= -b +/- raíz de bhaskara/ 2.a

x=-5 +/- 5/2

x'= 0/2=0

x"=  -10/2= -5

5-3x= 3x=-5

          X= -5/3

5x³ = 0   a=5 b= 0 c=0

0²-4.5.0

= 0 (duas raízes reais e iguais)

x'= 0

x"= 0

Espero ajudar♥

Answer:

Step-by-step explanation:

b.)

amplitude: 4

period; 4pi

phase shift; pi/2

vertical shift: -3

Analyzing the graph shows that the parameters are in

b. amplitude: 4

period; 4π

phase shift; π/2

vertical shift: -3

Amplitude: The amplitude of a periodic function is the measure of its maximum displacement from its average or equilibrium position.

Period: The period of a periodic function is the distance along the x-axis between one cycle of the function and the next identical cycle.

Vertical Shift: The vertical shift (or translation) of a function is a vertical displacement of the entire graph either upward or downward.

Phase Shift: The phase shift is a horizontal displacement or translation of a function.

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Answer:

Price per foot of skydive is 31.11 repeated, or 31 1/9

Step-by-step explanation:

Jesse is going on 2 jumps, which is 14000*2=28000.

Each Skydive is $400, and two jumps would be $800. Plus a $100 training fee, it would cost $900 for 2 jumps.

28000/900=31.1111 repeated.

Answer: 530 cm^2

Step-by-step explanation:

A = 3.14 * r^2

A = 3.14 * 13 * 13

A = 3.14 * 169

A = 530 cm ^2

Answer:

a + b = 63

a - b = 12

So, a - b = 12 which can also be written as a = b + 12

Then use substitution and plug in (b + 12) for a in the first equation

(b+12) + b =63

-12              -12

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

2b  =  51 so b=25.5

Now, you know b which can be used to find a

63- 25.5= 37.5

So, a = 37.5 and b = 25.5

Answer:

25.5 and 37.5

Step-by-step explanation:

37.5-12=25.5

25.5+37.5=63