In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction measure of angle Z Y X Over 360 degrees EndFraction (pi r squared).

Circle Y is shown. Line segments X Y and Z Y are radii. Sector X Y Z is shaded.

Which best explains the formula?
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

The graph that describes the motion of Maria is the graph in Option B.

Displacement is the term that is used to describe the distance covered in a specified direction.

We are told that Maria walked up a hill in 30 minutes, and then she ran back down the hill in 10 minutes. The graph that describes this motion is the graph in Option B.

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There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

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Answer: [tex]y=5x+1[/tex]

Step-by-step explanation:

The slope of the given line is

[tex]\frac{1-0}{0-5}=-\frac{1}{5}[/tex]

Since perpendicular lines have slopes that are negative reciprocals, the slope of the line we want to find is 5.

Since the y-intercept is (0,1), the equation is [tex]y=5x+1[/tex].

Answer: the answer is c

Answer:

47.25

Step-by-step explanation:

8.89 is about 9.

So, we have 9(5.25)=9(5)+9(0.25)=45+2.25=47.25

I didn't quite get what u meant by exponential form of the function but here

Answer:

9

Step-by-step explanation:

Let x = # of movies Jamie watches in a month. 5 + 2.25x represents the monthly cost of Amazing Primo, and 15 + x represents the monthly cost of Netflakes.

5 + 2.25x > 15 + x

1.25x > 10

x > 8

Jamie must watch more than 8 movies each month for the Netflakes account to be cheaper overall.

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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The solution of the given equation can be all real numbers, except c = 0 and c = 3.

Lets simplify the given problem,

1/c-3 - 1/c = 3/ (c-3)

As the denominators cannot be equal to zero (0) because a division by zero (0) is undefined.

Next, we would multiply both sides of the given by the lowest common multiple (LCM).

The lowest common multiple (LCM) is c(c - 3).

c-[c-3] = 3

c-c+3 = 3

0 = 3-3

0=0

Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.

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Answer:

alan = 2 = 2x = 16

becky = 3 = 3x = 24

charlie = 4 = 4x = 32

Step-by-step explanation:

add 2 3 4 =

9

72 ÷ 9 = 8

alan = 2 = 2x = 16

becky = 3 = 3x = 24

charlie = 4 = 4x = 32

Amie's error while measuring the volume of a sphere is that Amie should have multiplied 54 by 2/3. Thus, the first option is the right choice.

In the question, we are given that a sphere and a cylinder have the same radius and height.

We assume the radius of the sphere to be r, and its height to be h.

Now, the height of a sphere is its diameter, which is twice the radius.

Thus, the height of the sphere, h = 2r

Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.

The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.

Thus, the volume of the given sphere using the formula is (4/3)πr³.

The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.

Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.

Now, to compare the two volumes we take their ratios, as

Volume of the sphere/Volume of the cylinder

= {(4/3)πr³}/{2πr³}

= 2/3.

Thus, the volume of the sphere/the volume of the cylinder = 2/3,

or, the volume of the sphere = (2/3)*the volume of the cylinder.

Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.

Thus, Amie's error while measuring the volume of a sphere is that Amie should have multiplied 54 by 2/3. Thus, the first option is the right choice.

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For the complete question, refer to the attachment.

Answer:

240 yards lost, if I understand the question correctly.

Step-by-step explanation:

If I read this correctly the team lost 85 yards lost in 8 plays.  Then they tripled their loss on the next 17.  3 x 85 = 255 yards lost in the last 17 plays.

Total yards lost was (85 + 255) = 240 yards in 22 plays.

Answer:

The equation is 21x+4y<3150

Step-by-step explanation:

This question can be understood by the concept of inequalities.

Let x be the number of stocks of software company and y be the number of stocks of robotics company purchased.

Money invested in 1 stock of software company = $42

Money invested in 1 stock of robotics company = $8

Total expenditure on software company stock = 42*x

Total expenditure on robotics company stock = 8*y

So the total expenditure should be less than 6300

Hence the equation is

42x+8y<6300

21x+4y<3150

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Answer:  0.0059   (choice C)

Explanation:

There are 4 jacks out of 52 cards total.

4/52 = 1/13 is the probability of getting a jack.

The same applies to an ace as well.

The probability of a jack followed by an ace is (1/13)*(1/13) = 0.0059 approximately, when we replace the first card. If the replacement wasn't done, then the second probability would be different from 1/13.

The correct option is a) -0.15.

The weakest correlation relationship between two variables is given by -0.15.

With the aid of correlation, the strength of the relationship between two variables can be determined. We can tell from this study whether there is no correlation, weak correlation, or a strong correlation between the two variables.

Two different types of correlation exist:

The correlation value (r) always lies between -1 and 1.

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The complete question is -

Which of the following is the weakest correlation relationship between two variables?

a) -0.15

b) 0.27

c) -0.70

d) 0.55

Answer:

x = 1/3 or x = -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

9x2+3x−2=0

For this equation: a=9, b=3, c=-2

9x2+3x+−2=0

Step 1: Use quadratic formula with a=9, b=3, c=-2.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(3)\pm\sqrt{(3)^2-4(9)(-2)} }{2(9)}[/tex]

[tex]x=\frac{-3\pm\sqrt{81} }{18}[/tex]

x = 1/3 or x = -2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the quadratic formula?}[/tex]

[tex]\rm{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

[tex]\textsf{Or even}[/tex]

[tex]\rm{ax^2 + bx + c = 0}[/tex]

[tex]\huge\textbf{What are we looking for?}[/tex]

[tex]\rm{9x^2 + 3x - 2 = 0}[/tex]

[tex]\huge\textbf{What are the labels in the equation?}[/tex]

[tex]\mathsf{a \rightarrow 9}\\\\\mathsf{b\rightarrow 3}\\\\\mathsf{c \rightarrow -2}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\rm{x = \dfrac{-(3)\pm \sqrt{3^2 - 4(9)(-2)}}{2a}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\rm{x = \dfrac{-3\pm \sqrt{81}}{18}}[/tex]

[tex]\rm{x = \dfrac{1}{3}\ or\ x = - \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\mathsf{x} = \dfrac{1}{3}\ or\ \mathsf{x} = - \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 19/25

Step-by-step explanation:  50 candies total. 28 are red, 10 are blue 8 are green, and 4 are yellow. We want to calculate the probability of choosing a candy and either getting blue or red. The total candies that are blue or red are 28+10 = 38. So, 38/50. We can simplify by dividing by 2 to get 19/25. 19 is a prime number so that is as simple as we can get,

Answer:

The translation rule is: (x,y) → (x-3, y+3)

Step-by-step explanation:

A translation rule in geometry is basically asking you what was done to move the shape to its new location on a graph.

In this particular problem, visualizing the graph isn't actually necessary. You only need to figure out what was added or subtracted to get the new numbers from the old ones.

In the beginning, point D was at the x coordinate 1. To make 1 into -2, you subtract three. The points E and F were also changed from their old numbers to the new ones by subtracting 3.

So, we know that the first half of our rule is x-3.

In the beginning, point D was at the y coordinate 3, but it changed to a 6. To get from 3 to 6, you add three more. Points E and F can also be made into their new numbers by adding 3.

So, we know that the second half of the rule is y+3.

I hope this helped. Please let me know if you have any questions :)

Marry rate of investment is 4%.

Lets solve it through simple steps,

30% 0f $200,000 = $60,000

$200,000-$60,000 = $140,000

Rate 1.5%

Rate 4% = (140,000-x)

Interest earned = $4,350

1.5x+4(150,000-x)=4350*100

1.5x+600,000-4x=435,000

1.5x-4x=435,000-600,000

-2.5x=-165,000 /-2.5

x=66000

$ 66,000  1.5%

Balance = $74,000 at  4%

Hence the rate is 4%

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The solutions of the equations are (0,4.5), (1, 1), (2, -2.5) & (3, -6) and (0,0), (1, -0.4), (2, -0.8) & (3, -1.2)

Equation 1

7x + 2y = 9

Make y the subject

2y = 9- 7x

Divide by 2

y = 4.5 - 3.5x

Let x = 0, 1, 2 and 3

y = 4.5 - 3.5 * 0 = 4.5

y = 4.5 - 3.5 * 1 = 1

y = 4.5 - 3.5 * 2 = -2.5

y = 4.5 - 3.5 * 3 = -6

Hence, the solutions of the equation are (0,4.5), (1, 1), (2, -2.5) and (3, -6)

Equation 2

2x = -5y​

Make y the subject

y = -0.4x

Let x = 0, 1, 2 and 3

y = -0.4 * 0 = 0

y = -0.4 * 1 = -0.4

y = -0.4 * 2 = -0.8

y = -0.4 * 3 = -1.2

Hence, the solutions of the equation are (0,0), (1, -0.4), (2, -0.8) and (3, -1.2)

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The multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

Therefore, the multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

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The average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.

The average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.

Average Speed = Total Distance/Total Time.

In the question, we are informed that the person drove from town a to his home and then to town b, with the total journey time as 50 minutes.

We are asked to find the average speed of the person.

We assume the distance from town a to his home to be A miles.

We assume the distance from his home to town b to be B miles.

Thus, the total distance traveled = A + B miles.

The total time taken by the person is given to be 50 minutes.

We know that the average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.

Thus, the average speed of the person can be shown as:

Average Speed = (A + B)/50 miles per minute.

Thus, the average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.

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Answer:

bvjh

Step-by-step explanation:

bn

The cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

The volume of a cylinder having a radius of r units, and a height of h units, is given by the formula, V = πr²h.

In the question, we are asked to find the radius (r), of a cylindrical water tank, with a volume of 490π feet³, and a height of 10 feet.

Substituting the value of V = 490π feet³, and h = 10 feet, in the formula for the volume of a cylinder, V = πr²h, we get:

490π feet³ = π.(r²)(10 feet).

Rearranging this, we can write:

r² = (490π)/(10π) feet²,

or, r² = 49 feet²,

or, r = √49 feet,

or, r = 7 feet.

Thus, the cylindrical water tank with a volume of 490π feet³, and a height of 10 feet, has a radius of 7 feet.

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The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)

We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.

Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;

A'(3, -1)

B'(6, -1)

C'(6, 4)

D'(3, 4)

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The value of N is 28.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

According to the question,

a+b+c=60

a-7=N

b+7=N

7c=N

From the above three equations,

a=N+7

b=N-7

c=N/7

So, N+7+N-7+N/7=60

2N+N/7=60

14N+N=420

15N=420

N=28

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The polynomial + 8r²s⁴ – 3r³s³ can have a possible first term of -rs⁵

The polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ has three terms with a degree of 10.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial + 8r²s⁴ – 3r³s³. The polynomial is of degree  6, hence the possible first term could be -rs⁵

Also, the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷

= 6st⁹ - 3s⁶t² - 6t⁷

It has three terms with a degree of 10.

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Answer:

5.46

111

86

367.2

49

467

use labels

Step-by-step explanation:

1. [tex]\frac{39}{2} times . 0.28[/tex]

[tex]\frac{39}{2} times \frac{28}{100} =\frac{1092}{200} \\[/tex]

[tex]\frac{1092}{200} = \frac{273}{50}[/tex]

Answer 273/50 or 5.46 inches

2. [tex]\frac{97}{87} times \frac{100}{1} =\frac{9700}{87}[/tex]

Answer 9700/87= 111%ft

3. [tex]\frac{146}{1} divided \frac{170}{1}[/tex]

[tex]\frac{146}{1}times\frac{1}{170} =\frac{146}{170}[/tex]

Answer=146/170=73/85=

86%tons

4. [tex]\frac{136}{1} times\frac{270}{100} =\frac{36720}{100}[/tex]

Answer=367.2%ft

5 .[tex]\frac{60}{123}[/tex]=49%inches

6.[tex]\frac{56}{1} times\frac{100}{12} =[/tex]467%inches

Answer:

444

Step-by-step explanation:

There are 9 surfaces to this shape.  You find the area of each shape:

Bottom rectangle (16)(5) =80

Front rectangle (16)(4) = 64

Back rectangle (16)(4) = 64

Right side rectangle (5)(4) = 20

Left side rectangle (5)(4) = 20

Top right rectangle (10)(5) = 50

Top left rectangle (10)(5) = 50

Front top triangle (1/2)(16)(6) = 48

Back top triangle (1/2)(16)(6) = 48

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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