While performing a piece of music, Tommy strikes the cymbals every 7 beats and the triangle is every 12 beats. If he just struck both at the same time, how many beats will pass before he again strikes them at the same time?

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

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Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

Answer:

the probability that it will be either red or blue is 7/9

Step-by-step explanation:

There are 9 disks altogether.  Since there are 4 red disks, the probability that a red disk will be drawn is 4/9.  The probability that a blue disk will be drawn is 3/9.  These two events are independent of one another.

The probability that it will be either red or blue is that of the union of the two events.  Thus, we add together 4/9 and 3/9, obtaining 7/9

Answer:

I think choose (c)

4x+1/x²-5

Write the additive inverse of [tex]\frac{ - 1}{3} [/tex].

➼ The additive inverse of [tex] \frac{ - 1}{3} [/tex] is [tex]\frac{+ 1}{3} [/tex].

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Answer:

h = 5

Step-by-step explanation:

6/8 - h/8 = 1/8

Multiply each side by 8 to clear the fractions

8*(6/8 - h/8) = 1/8*8

6 - h = 1

Subtract 6 from each side

6-h-6 = 1-6

-h = -5

Multiply each side by -1

h = 5

Answer:

[tex]h = 5[/tex]

Step-by-step explanation:

Solve the equations:

[tex] \frac{6}{8} - \frac{h}{8} = \frac{1}{8} [/tex]

Reduce fractions to the lowest term by canceling the greatest common factor:

[tex] \frac{3}{4} - \frac{h}{8} = \frac{1}{8} [/tex]

Rerreange unknown terms to the left side of the equation:

[tex] - \frac{h}{8} = \frac{1}{8} - \frac{3}{4} [/tex]

Find the common denominator and write the numerator above common denominator:

[tex] - \frac{h}{8} = \frac{1 - 6}{8} [/tex]

Calculate the sum or difference:

[tex] - \frac{h}{8} = \frac{ - 5}{8} [/tex]

Reduce the greatest common factor on both sides of the equation:

[tex] - h = - 5[/tex]

Divide both sides of the equation by the coefficient variable:

[tex]h = 5[/tex]

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

Answer:

The independent variable (IV) is the depths at the Altantic Ocean and the dependent variable (DV) is the water temperatures.

Step-by-step explanation:

The IV is what is changed between the groups of the study.

The DV is what is being measured for the groups.

You can say that the DV depends on the IV because changes and differences in the DV depends on the changes for the IV.

I hope this helps! :)

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

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Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

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Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Answer:

i think . it is c

Step-by-step explanation:

2×12=24

24+3= 27

12*12=144

144/24=6

Answer:

They have no minimum y -value

The minimum value for y belongs to f(x) at x=0 and function f(0)=(-2), Option D is correct.

The given function f(x)= x⁵-2

Differentiating the function we get,

5x⁴=0

x=0

Therefore, f(x)=f(0)=0-2=(-2)

Now function g(x)=3x²+1

Differentiating the function we get,

6x=0

x=0

Therefore, g(x)=g(0)=0+1=1

The minimum value for y belongs to f(x) at x=0 and f(0)=(-2)

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Work Shown:

C = 2*pi*r

C = 2*3.14*9.7

C = 60.916

This value is approximate since pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate circumference. The circumference is the distance around the circle, aka the perimeter.

Answer:

60.916

(rounded to the two nearest decimals = 60.92, and to the first decimal = 60.9)

Step-by-step explanation:

Circumference formula: 2πr  

π being pi and r being radius

Fill in your variables: 2(3.14)(9.7)   or 2 x 3.14 x 9.7

use your calculator or simply solve it and you end up with 60.916.

I hope this helped :)

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

Answer:

3 : 8

Step-by-step explanation:

[tex]\frac{x}{1} = \frac{3y}{8}[/tex]

cross multiply

8x = 3y

x = 3/8

x : y = 3 : 8

Answer:

12.2

Step-by-step explanation:

Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

Answer:

4x⁴-3x⁴+5x³-3x²+1

Step-by-step explanation:

Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2

Collect the like terms

p (x) - q (x)​ = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2

p (x) - q (x)​  = 4x⁴-3x⁴+5x³-3x²+1

This givess the difference

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

Answer:

4(b + 2)

Step-by-step explanation:

Given data

The expression is

( 4b + 8)

Looking at the expression, 4 is common

factor 4 out

4(b + 2)

Hence the equivalent expression is

4(b + 2)

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

Answer:

C

Step-by-step explanation:

Slope

Y-intercept = -4

Knowing the slope is 3 and the y-intercept is -4, the answer should be y=3x-4.