What is the arc length if 0=6pi/5 and the radius is 2cm?

Answer:

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Answer:

Step-by-step explanation:

Given is a graph of piecewise function.

We are given a horizontal line for

[tex]x<-2[/tex]

Hence [tex]f(x) = 5, x<-2[/tex]  ... I

Whenever

[tex]-2\leq x<3[/tex], the graph is a line passing through (-2,-2) and (3,8)

Hence using two point equation we get

[tex]\frac{y+2}{8+2} =\frac{x+2}{3+2}\\5(y+2)=10(x+2)\\y=2x+2[/tex]...II

Again for

[tex]x>3\\y=-3[/tex]... III

I,II and III together give the piecewise funciton

8 times 2/3 is 16/3, which when simplified is 5 1/3

To evaluate 8(2/3), you need to multiply 8 by 2/3. The value of 8(2/3) is 16/3.

To evaluate 8(2/3), you need to multiply 8 by 2/3. To do this, you can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1.

This simplifies 2/3 to 2/3. Then, multiply 8 by 2/3 to get the final answer.

Therefore, the value of 8(2/3) is 16/3.

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Answer:

Square root of 16 = 4

Square of 16 = 256

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

For this case we have that by definition, the volume of a regular prism is given by:

V = B * h

Where:

B: It is the area of the base

h: It is the height of the prism

We have to:

[tex]B = 2 * 2 = 4 \ cm ^ 2\\h = 1 \frac {2} {3} = \frac {3 * 1 + 2} {3} = \frac {5} {3}[/tex]

Thus, the volume will be:

[tex]V = 4 * \frac {5} {3}\\V = \frac {20} {3} \ cm ^ 3[/tex]

ANswer:

[tex]V = \frac {20} {3} \ cm ^ 3[/tex]

Answer:

The answer is b and c

hope this helps!

Step-by-step explanation:

Answer:

[tex]\frac{901}{999}[/tex]

Step-by-step explanation:

we know that

A Recurring Decimal, is a decimal number with a digit (or group of digits) that repeats forever.

In this problem we have

0.901 recurring

that means

0.901901901..

Let

[tex]x=0.901901901..[/tex]

Multiply x by a power of  [tex]10[/tex], one that keeps the decimal part of the number the same:  

[tex]1,000x=901.901901..[/tex]

Subtract [tex]x[/tex] from [tex]\\1000x[/tex]

[tex]1,000x-x=901.901901..-0.901901..=901[/tex]

The repeating decimals should cancel out

[tex]\\999x=901[/tex]

solve for x

Divide by [tex]999[/tex] both sides

[tex]990x/990=135/990[/tex]

[tex]x=\frac{901}{999}[/tex]

Answer:

D, (-6,-2)

Step-by-step explanation:

the first quadrant of a coordinate plane has the x coordinate being a negative number, and the y coordinate being a positive number

the second quadrant of a coordinate plane has the x and y coordinates being a positive number

the third quadrant of a coordinate plane has the x and y coordinates being a negative number

the fourth quadrant of a coordinate plane has the x coordinate being a positive number, and the y coordinate being a negative number

i have attached a graph showing the quadrants for a visual point of view

The coordinate pair that identifies a point in the third quadrant of the coordinate plane, where both x and y coordinates are negative, is (-6,-2)

The question is asking about identifying which pair of coordinates falls into the third quadrant of the coordinate plane in mathematics. The third quadrant in a coordinate plane is the bottom-left quadrant, where both the x and y coordinates are negative.

Looking at the options: A) (0,6), B) (-6,2), C) (2,-6), and D) (-6,-2); we can clearly see that option D) (-6,-2) is the point in the third quadrant, as both coordinates are negative. The pair (-6,-2) meets this description, with -6 on the x-axis and -2 on the y-axis. So, the correct answer is option D).

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Answer:

2541 peanut cookies were sold

Step-by-step explanation:

A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...

p - c = 1820 . . . . Lyn had 1820 more peanut cookies

After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:

0.65p -0.85c = 95

We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.

p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260

The original number of peanut cookies Lyn had was 7260, so the number she sold is ...

0.35 · 7260 = 2541

_____

Cramer's rule says the solution to ...

ax +by =c

dx +ey =f

is given by ...

x = (ec-bf)/(ea-bd)

y = (fa-cd)/(ea-bd)

Answer:

2541 cookie were sold

Step-by-step explanation:

Answer:

The probability that there were 3 males is 1/4.

Step-by-step explanation:

Total Number of kitten = 4

Probability of a kitten to be male = 1/2

Probability of a kitten to be female = 1/2

Probability that out of 3 were male = 4 × 1/2 × 1/2 × 1/2 × 1/2

                                                          = 1/4

Therefore, The probability that there were 3 males is 1/4.

The answer to your question is this:

[tex]y + 5\leq 28\\y\leq 23[/tex]

Answer:

x = 12

Step-by-step explanation:

Given

4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side

4x - 20 = 2x + 4 ( subtract 2x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer: Second Option

20%

Step-by-step explanation:

We have 5 red marbles, 8 blue marbles and 12 green marbles in a bag.

In total there are 5 + 8 + 12 = 25 marbles

This means that the experiment "get a marble out of the bag" has 25 possibilities.

Then, the chances of getting a red marble are 5, because there are 5 red marbles.

Finally the probability of drawing a red marble is:

[tex]P_{red} = \frac{5}{25}\\\\P_{red} = \frac{1}{5}\\\\P_{red} = 0.20[/tex]

[tex]P_{red} =20\%[/tex]

Human:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ 20%

I WOULD APPRECIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Divide bags of sand by gallons of water:

14 /6 = 2.33

21/9 = 2.33

The ratio is the same, so this means for every gallon of water you need 2.33 bags of sand.

Convert the fractions into decimals and you will get 7/3 = 2.33

The answer for Part 1 is D) 7/3

For part 2, multiply the gallons of water by 2.33 to get the number of sand bags needed:

12 x 2.33 = 27.99, which rounds to 28.

The answer is C) 28 bags.

Answer:

A) [tex]\frac{3}{7}[/tex]

C) 28 bags

Step-by-step explanation:

Part 1 :

By the given table,

[tex]\frac{\text{Gallon of water}}{\text{bags of sand}}=\frac{6}{14}=\frac{9}{21}=\frac{15}{35}=\frac{3}{7}[/tex]

Hence, the proportion of gallons of water to bags of sand is same,

Which is [tex]\frac{3}{7}[/tex]

OPTION A) is correct.

Part 2 : Let x bags of sand should be mixed with 12 gallon of water,

Then the ratio of gallon of water and number of bags of sand = [tex]\frac{12}{x}[/tex]

By part 1,

[tex]\frac{12}{x}=\frac{3}{7}[/tex]

[tex]84 = 3x[/tex] ( by cross multiplication )

[tex]\implies x = \frac{84}{3}=28[/tex]

Hence, 28 bags of sand should be mixed.

OPTION C) is correct.

Answer:

The answer would be m= -9

Step-by-step explanation:

6(9-m)

You will multiply the 6 with the 9 and -m inside of the parenthesis

54-6m

Divide by -6 on both sides and you will get m= -9

I hope this helps you with this question and have a nice weekend

The equivalent expression to 6(9 - m) is 54 - 6m, determined by applying the distributive property of multiplication over addition and subtraction.

The expression given is 6(9 - m). To identify an expression equal to this, we should look for expressions that maintain the same relationship between the numbers and the variable m. When we distribute the 6 across the parentheses, we multiply 6 by 9, and 6 by -m, resulting in 54 - 6m.

Distributing a number across a subtraction in a parenthesis follows the distributive property of multiplication over addition and subtraction, which allows us to multiply each term inside the parentheses by the number outside.

Answer:

The perimeter is equal to [tex]16\ units[/tex]

Step-by-step explanation:

we have that

[tex]A(-1,1),B(2,5),C(5,1)[/tex]

The perimeter of triangle ABC is equal to

[tex]P=AB+BC+AC[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(-1,1),B(2,5)[/tex]

[tex]AB=\sqrt{(5-1)^{2}+(2+1)^{2}}[/tex]

[tex]AB=\sqrt{(4)^{2}+(3)^{2}}[/tex]

[tex]AB=\sqrt{25}[/tex]

[tex]AB=5\ units[/tex]

step 2

Find the distance BC

[tex]B(2,5),C(5,1)[/tex]

[tex]BC=\sqrt{(1-5)^{2}+(5-2)^{2}}[/tex]

[tex]BC=\sqrt{(-4)^{2}+(3)^{2}}[/tex]

[tex]BC=\sqrt{25}[/tex]

[tex]BC=5\ units[/tex]

step 3

Find the distance AC

[tex]A(-1,1),C(5,1)[/tex]

[tex]AC=\sqrt{(1-1)^{2}+(5+1)^{2}}[/tex]

[tex]AC=\sqrt{(0)^{2}+(6)^{2}}[/tex]

[tex]AC=\sqrt{36}[/tex]

[tex]AC=6\ units[/tex]

step 4

Find the perimeter

[tex]P=5+5+6=16\ units[/tex]

Answer:

The answer is 16 untis

Step-by-step explanation:

Answer:

B.. skewed left

Step-by-step explanation:

Answer:

Option B. skewed left.

Step-by-step explanation:

In the figure attached maximum frequency of the data is at the 45. Distribution on the right side of the maximum frequency is upto 48 and in the left it is upto 36.

As we can see point 36 is more distant from peak point 45 as compared to point 48.

Therefore, distribution of the data is more in the left than in the right.

Therefore, the shape of this distribution is skewed left.

Option B. skewed left is the correct answer.

Given the point (9,2) is on the graph of f(x), the corresponding point for the function f(-3/4x) is found by multiplying the x-coordinate of the given point by -3/4. This yields the corresponding point (-6.75, 2).

The given point is (9,2). In the function f(-3/4x), the variable is multiplied by the factor -3/4. We apply this factor to the x-coordinate of the given point to find the x-coordinate of the corresponding point in the function f(-3/4x).

Therefore, the x-coordinate of the corresponding point is 9×-3/4 = -27/4 = -6.75. The y-coordinate remains the same because the transformation corresponds only to the x-coordinates of points. So, the corresponding point in the function f(-3/4x) is (-6.75,2).

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D

the answer is D. dilation cannot be used to prove this

The answer is D since dialation only beating to increase in size

The answer for this question is 3

Answer:

B. 3

Step-by-step explanation:

x=1 ; y = 2

x=3; y =8

the average rate of change = (8-2)/(3-1) =  6/2 = 3

Answer

B. 3

Answer:

[tex]\large\boxed{z=\dfrac{15\sqrt3}{2}[/tex]

Step-by-step explanation:

Lookat the picture.

We have

[tex]2a=15\to a=\dfrac{15}{2}\to a\sqrt3=\dfrac{15\sqrt3}{2}[/tex]

small triangle:

[tex]x=2a=\dfrac{15}{2}\to a=\dfrac{15}{4}\to y=\dfrac{15\sqrt3}{4}[/tex]

[tex]a+b=15\to b=15-\dfrac{15}{4}=\dfrac{60}{4}-\dfrac{15}{4}=\dfrac{45}{4}[/tex]

[tex]a=\dfrac{15}{4}\\\\b=\dfrac{45}{4}\\\\x=\dfrac{15}{2}\\\\y=\dfrac{15\sqrt3}{4}\\\\z=\dfrac{15\sqrt3}{2}[/tex]

Answer:

a.0

Step-by-step explanation:

The exponential function levels at 0

Please give brainliest

Answer:

x=61

Step-by-step explanation:

X=61

Because (52+67)-180=61

Answer:

Step-by-step explanation:

[tex]h(x)=-0.5(x^2-4x-21)\\\\\text{The zeros for}\ h(x)=0:\\\\-0.5(x^2-4x-21)=0\qquad\text{divide both sides by}\ -0.5\\\\x^2-4x-21=0\\\\x^2+3x-7x-21=0\\\\x(x+3)-7(x+3)=0\\\\(x+3)(x-7)=0\iff x+3=0\ \vee\ x-7=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3<0\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7[/tex]

Answer:

The answer is 7/8 chance.

Step-by-step explanation:

To find this answer, you have to divide the blue marbles by red marbles. Then, you will get 28/32.

You can simplify it, so simplify it to the smallest possible number, therefore getting 7/8.

when the two books were published

Answer: It would be (B) because you don't actually have to know the date unless it is a part of the equation which you dont have to know in this question :)

Hope this will help you out :)

Answer:

A. 60+x°=90

Step-by-step explanation:

Complementary angles add up to 90°.

Answer:  D. 2x4+x3–x+2 is prime

Step-by-step explanation:

Answer:

12.5, not 100% sure though.

Answer:

Step-by-step explanation:

12.5 is right.  Because it say similar to triangle XYZ

Answer:

81% of 403 is.....326.43! (Rounding it to the nearest hundred gives '326')

Step-by-step explanation:

(P= Percentage / X= The number your finding the percentage of...)

Formula : X = P% * X

X = 81% * 403

Converting percent to decimal:

Converting percent to decimal:p = 81% ÷ 100 = 0.81

X = 0.81 x 403

X = 326.43

Answer:

Option D)

Step-by-step explanation:

Given:

x= {2,3,4}

y={49,343,2401}

Points with coordinates (x,log(y)) are required to be plotted

Finding (x,log(y)):

log(y)= {log(49),log(343),log(2401)}

Log(49)=1.69020

log(343)=2.53529

log(2401)=3.38039

Now the transformed data set will be written in coordinates form:

(2,1.690),(3,2.535),(4,3.380)

Which is option D !

Answer:

The length of the formed by these vertices is 11 units.

Step-by-step explanation:

We are given the following coordinates of two vertices of a right angled triangle and we are to find the length of the side formed by these vertices:

[tex](-2, 5)[/tex] and [tex](9,5)[/tex]

Using the distance formula to find the side length:

Side length = [tex] \sqrt { ( 9 - ( - 2 ) ) ^ 2 + ( 5 - 5 ) ^ 2 } [/tex] = [tex]\sqrt{121}[/tex] = 11 units

Answer:

11

Step-by-step explanation:

Note that the horizontal line y = 5 goes through both vertices, and that the length of the side formed by those vertices is the distance between the vertices in this case.  That distance would be 9 - (-2), or 11.