A circle has a radius of 48 millimeters.

What is the length of the arc intercepted by a central angle that measures 3π4 radians?

Express the answer in terms of π .

Answer:

y = 1

Step-by-step explanation:

-3y + 14 + y = 12

-3y + y + 14 = 12

-2y + 14 = 12

-2y + 14 - 14 = 12 - 14

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

y=1

Step-by-step explanation:

Hey There!

So to solve this type of problem we use inverse operations

-3y+14+y=12

step 1 subtract 14 from each side

14-14

12-14=-2

now we have

-3y+y=-2

step 2 combine like terms

-3y+y=-2y

now we have -2y=-2

step 3 divide each side by -2

-2/-2=1

so we can conclude that y=1

Answer:

assuming that the figure is a parallelogram:

area = base x height

area = (x + 3) (2x) = 2x² + 6x

Step-by-step explanation:

Answer:56

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x=2}}[/tex]

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

[tex]x=\frac{-b}{2a}[/tex]

First we must determine a and b from the quadratic: [tex]-x^2+4x-8[/tex]. This is in standard form, with the highest power first in descending order.

Standard form is also: [tex]ax^2+bx+c[/tex]

If we compare this to the quadratic given, we can conclude that:

[tex]a= -1 \\b= 4 \\c= -8[/tex]

Substitute the values for a and b into the formula.

[tex]x= \frac{-(4)}{2(-1)}[/tex]

Multiply in the denominator.

[tex]x=\frac {-4}{-2}[/tex]

Divide.

[tex]x=2[/tex]

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

Answer:

for 8/24 the answer will be 1/3.

and for 8/32 the answer will be 1/4.

and for 6/30 the answer will be 1/5.

and for 12/24 the answer will be 1/2.

and for 9/21 the answer will be 3/7.

and for 5/20 the answer will be 1/4

Step-by-step explanation:

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

Answer:

88.29joules

Step-by-step explanation:

mgh=gravitational potential energy

(15kg)(9.81)(0.6)= 88.29joules

Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:

D. -16 ft/sec​

It is given by the change in the output divided by the change in the input.

In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:

r = -48 ft/3 s = -16 ft/s

Hence option D is correct.

More can be learned about the average rate of change at https://brainly.com/question/24313700

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

Answer:

Move the decimal two places to the right and add a percent sign.

Step-by-step explanation:

.15= 15%

1.25= 125%

.06= 6.0, or 6%

Answer:

To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

Answer:

Step-by-step explanation:I’m not smart because I am get fs

Answer: 76

Step-by-step explanation:

Answer:

125 X 40% = 50.00

50.00 is the increase from the markup rate

Answer is 40%

Step-by-step explanation:

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

= 2p/5q

Answer:

Step-by-step explanation:

236, did on edge

Answer:

the slope is -2x

Step-by-step explanation:

Its negative because the line is going towards the negatives, and 2 because the slope is rise over run. the line is going up 2 and over 1, which means 2/1, which simplifies to 2

Answer:

-2x -2

Step-by-step explanation:

The slope is negative because it is going down instead of up

y intercept is -2

Use rise over run

Rise is y x is run select 2 points and check rise/run

Slope= - x -(y)

-2

Answer:

Step-by-step explanation:

Answer:

16

Have a great day!

Answer:

Difficulties regarding the emotions of your body.

Step-by-step explanation:

Difficulties regarding the emotions of your body.

Answer:

3

Step-by-step explanation:

Do this backwards.

10 ÷ 2 = 5

5 - 2 = 3

Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

∴

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]

Answer:

15.3

Step-by-step explanation:

because 15 is the number I think

Answer:

9

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

The value of "p" is 9 for the pair equations  [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].

A system of linear equations can have,

Given pair of equations

[tex]3x + 4y = 12\\px + 12y = 30[/tex]

Representing them in the slope-intercept form:

[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]

As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m

So,  for the two equations slopes are,

[tex]m_1=-\frac{3}{4}[/tex] and

[tex]m_2=-\frac{p}{12}[/tex]

Since it is given that there is no unique solution for the given pair of equations we can write,

[tex]m_1=m_2[/tex]

⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]

⇒[tex]p=9[/tex]

Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.

Learn more about linear equations here:

https://brainly.com/question/7563683

#SPJ2

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]

Simplify.

[tex]m = \frac{1}{4} [/tex]

Therefor, the slope is 1/4.

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].

Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).

Hope this helps!! :)