The pendulum of a clock swings through an angle of 2.5 radians as its tip
travels through an arc of 50 centimeters. Find the length of the pendulum, in
centimeters.

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²

Hope you enjoy  :)))))))

Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

Answer:

Already answered in advance in the comments section

Step-by-step explanation:

Feel free to ask more questions if any!

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

Answer:

minden new yemilew yihegnaw tiyake

Answer:

11.5 Miles

Step-by-step explanation:

Add up all the mile times.

2.3+1.8+3.2+1.4+2.8=11.5

Answer:

The answer is the second option

Step-by-step explanation:

Answer:

B.shapes A and D

Step-by-step explanation:

Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D

[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]

Answer: 208

Step-by-step explanation:

The number 3536 is called the numerator or dividend, and the number 17 is called the denominator or divisor.

The quotient of 3536 and 17, the ratio of 3536 and 17, as well as the fraction of 3536 and 17 all mean (almost) the same:

3536 divided by 17, often written as 3536/17 = 208

Answer:

  7. inverse relationship; equation: y = 16/x

  8. no relationship; no equation

Step-by-step explanation:

The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.

__

In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.

 relationship: inverse

  y = 16/x

__

As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 7

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 16 by the x-value.

[tex]\sf y=\dfrac{16}{x}[/tex]

Question 8

As the x-value increases, the y-value increases.  

The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.

[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]

[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]

These are separate exponential relations for restricted domains.

So there doesn't appear to be one relationship for a non-restricted domain.

Answer:

the answer is x=15.....

Answer:

Step-by-step explanation:

(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 ​ Divide −30 by −2 to get 15.                 answer should be x=15

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

Answer:

1/13

Step-by-step explanation:

There are 2 red 5's in a standard 52-card deck ( a red 5 of hearts and a red 5 of diamonds ) and then there are 2 black 6's in a 52-card deck ( a black 6 of clubs and a black 6 of spades )

So in total there are 4 cards that we want out of 52.

So the probability of getting a red five or a black six is 4/52 or 1/13

Answer:

Step-by-step explanation:

This is an or question. You can choose either one; both are possible and the smaller probability add.

Red 5: 2/52

There are 26 red cards. 2 of them are 5s (diamonds / hearts). You are still drawing from a complete pack of 52

Black 6: 2 / 52

There are 26 black cards. 2 of them are 6s (Clubs / spades). You are still drawing from a complete pack of 52

2/52 + 2/52 = 4/52

Divide top and bottom by 4

4/4 // 52 /4

1 / 13

Answer: 1/13 or 0.077

Answer:

Use the formula,

Volume of cylinder =πr²h

=3.14×16×11

=552.64 cm³

Answer:

sin(3pi/4)

Step-by-step explanation:

I got it right on edg

Answer:

The answer is letter c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Bart 95   bill 30

Step-by-step explanation:

Bill=b

Bart = (3b+5)  

b+ (3b+5) = 125

4b=120

b=30     Bill sold 30 refrigerators

3(30)+5 = 95 (Bart sold 95 refrigerators)

95+30=125

16m2 – 24mn + 9n2

((16 • (m2)) - 24mn) + 32n2

(24m2 - 24mn) + 32n2

= (4m - 3n)2

Answer:

3.692seconds

Step-by-step explanation:

distance s is represented by the following equation s=-16t+224t

given the distance=768ft

replace s by 768 in the equation to find t (time):

768=-16t+224t

768=208t

t=768/208 =48/13 =3.692seconds

Hope this helps :)

Answer:

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Step-by-step explanation:

Hi there!

We are given the point (-3, 7)

We want to write the equation of the line containing that point, in point slope-form, and that is also parallel to 4x-3y=7

Parallel lines contain the same slope

So first, let's find the slope of 4x-3y=7

To do that, we can convert the line from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope, and b is the y intercept)

To do that, we need to isolate y on one side

So start by subtracting 4x from both sides

4x-3y=7

-4x      -4x

________________

-3y=-4x+7

Divide both sides by -3

y=[tex]\frac{4}{3}x[/tex]- [tex]\frac{7}{3}[/tex]

Since 4/3 is in the place of where m should be, the slope of the line is 4/3

It is also the slope of our new line, which we are trying to find

As stated earlier, we want to write this line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

This is where the point we were given earlier comes in. We simply need to substitute our values (of the point and the slope) into the formula to find the equation.

First, with the slope; substitute 4/3 as m in the equation

[tex]y-y_1=\frac{4}{3} (x-x_1)[/tex]

Now substitute -3 as [tex]x_1[/tex] in the equation

[tex]y-y_1=\frac{4}{3} (x--3)[/tex]

We can simplify this to:

[tex]y-y_1=\frac{4}{3} (x+3)[/tex]
Now substitute 7 as [tex]y_1[/tex] into the equation

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Hope this helps!

Answer:

70

Step-by-step explanation:

23+47

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest