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Answer:

Sales tax rate = 3.94%

Step-by-step explanation:

[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]

Sales tax rate = 0.039378... ⇒ 3.94%

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:

10√3m

Step-by-step explanation:

Given :-

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

Answer:

Length: 20 or 40 feet

Width: 40 or 20 feet

Step-by-step explanation:

Area = 800 = length*width = x*(60-x)= 60x - x^2

- x^2 + 60x - 800 = 0

x = 20

Or x = 40

So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)

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Explanation:

You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.

That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).

We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.

Plug this into the function

f(x) = x^3+5

f(-3) = (-3)^3 + 5

f(-3) = -27 + 5

f(-3) = -22 is the remainder

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If you want to use polynomial long division or synthetic division, then check out the diagram below.

Answer:

43 degrees

Step-by-step explanation:

Answer:

The letter C. 15/17

Answer:

sin = opposite/hypotenuse.

the hypotenuse is 17, adjacent is 8 and opposite is 15

15/17 is sine of 62. (C is the correct answer.)

Step-by-step explanation:

Answer:

c. 100%

Step-by-step explanation:

profit or loss = (sale price - purchase price)/(purchase price) * 100%

profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%

profit or loss = (Rs. 150)/(Rs. 150) * 100%

profit or loss = 1 * 100% = 100%

Since the result is positive it is a profit.

Answer: The profit was 100%.

Answer:

x intercept: 4    y intercept: -10

Step-by-step explanation:

Use desmos graphing calculator :)

Answer:

B

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x)

f(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3

        = - 2(- 8) + 4 - 8 - 3

        = 16 + 4 - 8 - 3

        = 9 → B

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

Answer:

roger

Step-by-step explanation:

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

Answer:

B; 4,783

Step-by-step explanation:

To find the sum, we have to multiply the number of observations by the mean

Therefore, we simply have the sum calculated as follows;

100 * 47.83 = 4,783

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]

Also,

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is the angular speed

So,

[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

Answer:

[tex]6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right][/tex] [tex]-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right][/tex] [tex]-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right][/tex]

[tex]So,~ A ~is ~your~ answer~[/tex]

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hope it helps..

have a great day!!

Answer:

D

Step-by-step explanation:

A function cannot have to values of y for a same x, and he only which have it is the graph D

Answer:

7 is the answer to your question

Answer:

the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).

Step-by-step explanation:

Answer:

15.64

Step-by-step explanation:

92% of 17 we can write it like this!

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

92% goes in part, 17 goes in whole then 100% below 92!

[tex]\frac{92}{100} =\frac{x}{17}[/tex]

Then, 17 × 92 = 1,564 ÷ 100 = 15.64

Answer:

D. (x+7 , y+4)

Step-by-step explanation:

x values increase by 7

y values increase by 4