What is the solution to the system of equations shown in the graph?
A) (0, 5) C) (0, -1)
B) (-2, 1) D) (1, -2)

Answer: 1/6 pi

Step-by-step explanation:

1. Formula: Volume of a sphere= 4/3pi x 1/2^3

2. Solve: 1/2^3 = 1/8

3. Place 1/8 into problem: 4/3pi x 1/8

4. Solve: 4/3pi x 1/8 = 4/24pi

5. simplify

Answer: 1/6pi

Answer:

65

Step-by-step explanation:

6+5=11

Answer:

11 ft

Step-by-step explanation:

The ring takes circular shape and for a circle, circumference is given by

[tex]C=\pi d[/tex]

Where C represent circumference and d is the diameter.

Taking use 3.14 for pi as instructed and substituting 3.5 ft for diameter d then

C=3.14*3.5=10.99 ft

Rounding off, this is approximately 11 ft

Answer:

10.99 ft

Step-by-step explanation:

Given: The ring has a diameter of 3.5 feet

To find: The ring's circumference

Formula: [tex]C = 2\pi r[/tex]

Solution: To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2 × radius with pi (π = 3.14).

C = pi × 2r

C = pi × diameter (3.5)

C = 3.14 × 3.5 = 10.99

Hence, the ring's circumference is 10.99 ft

Answer:

81

Step-by-step explanation:

Finally thank you bro

Answer:

81

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 9 +9+9+9

or

9^2 = 81

Hope this helps

Answer:

[tex]Length\,\, of\,\, the\,\, track=420.44\,m\\\\Area\,\,covered \,\,by\,\, the\,\, track=5893.06\,m^2[/tex]

Step-by-step explanation:

Length of the Track:

Perimeter of the rectangle + Circumference of the two semicircle

Perimeter of the rectangle= [tex]2(Length+Width)[/tex]

[tex]Length=92\,m\\Width=46\,m[/tex]

Perimeter of the rectangle:

              [tex]=2(92+46)\\\\=2(138)\\\\=276\,m[/tex]

Circumference of Two Semicircle with same radius:

[tex]r=\dfrac{46}{2} =23\,m[/tex]

[tex]Circumference=2\times \pi \times r\\\\[/tex]

   [tex]=2\times 3.14\times 23\\\\=6.28 \times 23\\\\=144.44\,m[/tex]

Total Length of the track is :

[tex]=276+144.44\\\\=420.44\,m[/tex]

Area Covered by the track is :

Area of the two semicircle + Area of the rectangle

         [tex]=(\pi \times r^2) + (Length\times Width)\\\\=(3.14\times (23\times 23 ))+(92\times 46)\\\\=1661.06 +4232\\\\=5893.06\,m^2[/tex]

The total length of the oval track is 420.51m and the area enclosed by the track is 5893.90m².

The dimensions of the rectangular part of the track are 46m and 92m respectively. Thus, the total distance around the rectangle (perimeter) is 2*(46m + 92m) = 276m. The two semicircles on either end of the rectangle form a complete circle with a diameter of 46m. The circumference of this circle (which equates to the remaining path length of the race track) is given by the formula πd or π*46m ≈ 144.51m. Thus, the total length of the track is 276m + 144.51m = 420.51m.

As for the area enclosed by the track, it consists of two main parts: the area of the rectangle and the area of the circle. The area of the rectangle is given by the formula L*W, or 46m*92m = 4232m². The area of the circle is given by the formula π(r²), where r is the radius of the circle. So, π(23m²) equals approximately 1661.90m². Adding the two results together, the total area enclosed by the track is 4232m² + 1661.90m² = 5893.90m².

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Answer:

b and d  

Step-by-step explanation:

Points B and D are 4 units apart in the given coordinate plane so option (D) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given the coordinates A, B, C, and D

Now,

Distance between any two coordinates can be measured by a number of grids between them if they are colinear but if they are not we need to find the inclined distance.

Since A and C are 4 grids up and down but C is not co-linear with A so distance will be more than 4.

Coordinate B and D are colinear and has four grid distance so it will be the answer.

Hence "Points B and D are 4 units apart in the given coordinate plane".

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The given question has missing graph and option which is shown below ;

Answer:

C; E

Step-by-step explanation:

They are the only 2 equivalent expressions

Answer:

C & E is the correct answer.

Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

(see screenshot)

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well.

Based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful. Thus, the third option is correct.

To find the distance between the points (-4, 3) and (1, -2) on the coordinate plane, the most helpful triangle would be the one with points (-4, 3), (-4, -2), and (1, -2).

A triangle with points (-4, 3), (-4, -2), (1, -2):

This triangle includes both of the given points and can be used to calculate the distance between them.

Therefore, based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful in finding the distance between the points (-4, 3) and (1, -2) on the coordinate plane.

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Answer:

300-20x<100

Step-by-step explanation:

More than, is like greater than, making it a greater than sign,

$100 is the number that is being compared to the other two, so it goes on the other side

$300 is the inital price, so it has no variable

Last, the $20 represents the cost per shirt giving it an unknown variable

I hope this helps u

pls give a brainliest and a thx ;)

Answer:

4,950

Step-by-step explanation:

Answer:

According to my calculations, my answer is $4,950.

Step-by-step explanation:

The cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

The cost of burger is expressed in terms of cost of souvenir and of souvenir in terms of the cost for pass.

So, let we take:
Cost of pass = x dollars,

Then, cost of souvenir = 2/3 of x = 2x/3 dollars

And the cost of burger = 1/4 of cost of souvenir = 1/4 (2x/3) = [tex]\dfrac{2x}{12} = \dfrac{x}{6}[/tex] dollars.

Also, we have:

Total initial amount = Amount spent + Amount remaining

or

43 = Cost of all those 3 items + 4.5

[tex]43 = x + \dfrac{2x}{3} + \dfrac{x}{6} + 4.5\\43 = \dfrac{6x}{6} + \dfrac{4x}{6} + \dfrac{x}{6} + 4.5\\\\43 = \dfrac{11x}{6} + 4.5\\\\\text{Subtracting 4.5 from both the sides}\\\\43-4.5 = \dfrac{1x}{6}\\\\\\dfrac{11x}{6} = 38.5\\\\\text{Multiplying 6/11 on both the sides}\\\\x = \dfrac{6 \times 38.5}{11} = 21[/tex]

Thus, the cost of pass was $21

Now, we get:

Cost of souvenir = 2x/3 = [tex]\dfrac{2(21)}{3} = 2\times7 = 14[/tex] dollars,

and cost of burger = [tex]\dfrac{x}{6} = \dfrac{21}{6} = 3.5[/tex] dollars.

Thus, the cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

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Step-by-step explanation:

On the left:  possible outcome has the value of 1 (1) = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 (1)= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 2

= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]

=  [tex]\frac{1}{6}[/tex]

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 3

=  [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]  + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 4

= [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]  + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 5

= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]

=  [tex]\frac{1}{6}[/tex]

The probability of getting sum 2 is [tex]\frac{1}{6}[/tex]

The probability of getting sum 3 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 4 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 5 is [tex]\frac{1}{6}[/tex]

Two spinners shown in the question.

First spinner is divide into two equal parts.

Second spinner is divided into three equal parts.

The probability of getting sum 2 is,

             [tex]P(sum=2)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=2)=\frac{1}{6}[/tex]

The probability of getting sum 3 is,

             [tex]P(sum=3)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=3)=\frac{1}{3}[/tex]

The probability of getting sum 4 is,

             [tex]P(sum=4)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=4)=\frac{1}{3}[/tex]

The probability of getting sum 5 is,

             [tex]P(sum=5)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=5)=\frac{1}{6}[/tex]

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Answer:

Angles F and C are congruent

Step-by-step explanation:

In the figure attached, the missing image is shown.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

Answer:

Step-by-step explanation: f and c should be correct i just took the test

Answer:

The area of sail A is One-fourth the area of sail B.

Step-by-step explanation:

Answer:

i feel like it might be one half because it says that the sides of triangle A is half of the sides on triangle B and it asks what area do these have in common

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

As you are only pulling out one marble, the colors are irrelevant; each marble has exactly one 'chance' at getting pulled out. There are 14 marbles, so there are 14 possible outcomes. [Based on how basic the problem is, I tried to stick to basic mathematical terms].

Answer:14

Step-by-step explanation:

I just did it :)

Answer:

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°

The interest earned is $14.

To find the interest earned, we can use the formula for simple interest:

[tex]\[ \text{Simple Interest} = \frac{P \times R \times T}{100} \][/tex]

Where:

- [tex]\( P \)[/tex]is the principal amount (the initial amount of money) [tex]= $800[/tex]

-[tex]\( R \)[/tex]is the interest rate per period (in decimal form) [tex]= 3.5% = 0.035[/tex]

-[tex]\( T \)[/tex] is the time the money is invested for (in years)[tex]= 6 months = 0.5 years[/tex]

Now, plug in the values:

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 1.75}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{1400}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \[14 \][/tex]

Complete correct question:

Principal = $800

Interest Rate = 3.5%

Time = 6 months

Find the interest earnedi

For this case we have that by definition, the density is given by:

[tex]d = \frac {M} {V}[/tex]

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

[tex]d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g[/tex]

So the volume is:

[tex]V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3[/tex]

Thus, the volume of the diamond is approximately [tex]0.03 \ cm ^ 3[/tex]

Answer:

[tex]0.03 \ cm ^ 3[/tex]

Answer:

=15 square cm.

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Formula= base*height divide by 2

Answer:

15%

Step-by-step explanation:

9/60 = 0.15

The percentage of the club members voted for Teresa of approximately 15% of the chess club members voted for Teresa.

To calculate the percentage of club members who voted for Teresa, we can use the following formula:

Percentage = (Number of votes for Teresa / Total number of club members) × 100

Given that Teresa received 9 votes and the chess club has 60 members, we can plug these values into the formula:

Percentage = (9 / 60) × 100

Now, let's calculate the percentage:

Percentage = (0.15) × 100

Percentage ≈ 15%

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Answer:

Division

Step-by-step explanation:

Certain Outcomes/Total Outcomes = Probability

The operation used is division

Answer:

144 units^3

Step-by-step explanation:

The volume of a triangular prism is calculated like this : 1/2 ×b×h×l

1/2 × 12 × 8 × 3 = 144 units^3

The scatterplot that shows the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

Similary when one is increasing and another is decreasing, they are said to have negative correlation.

From the given options;

We can see that Option A, zero correlation

Option B, less than 1

Option C, 1 or greater than 1

Option D, -1 or less than 1

Therefore, the scatterplot demonstrates the strongest relationship between two quantitative variables is;

Option C, "A graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

The complete question is below:

"A. A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.

B. A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.

C. A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

D. A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together."

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Final answer:

A scatterplot that shows a strong relationship between variables x and y will have points tightly clustered around the regression line, indicating x has a strong influence on y. It is a key visual tool to assess the potential for linear regression, but caution is needed as it does not prove causation and outliers or non-linear trends can influence interpretations.

Explanation:

Understanding Scatterplot Relationships

When determining the strength of a relationship between variable x and variable y on a scatterplot, one looks for how closely the data points follow a particular trend or pattern. A scatterplot with a strong relationship between the variables will show that the points are tightly clustered around a line, known as the regression line, which passes through the mean of the data set. This clustering signifies that x has a strong influence on y.

However, it's important to note that a strong relationship does not confirm causation. For a scatterplot to represent a good candidate for linear regression, the pattern of points should not only be tight but also linear. If the data shows an obvious non-linear relationship, or if there are outliers that significantly affect the correlation coefficient, one should be cautious in interpreting the results. The decision to use linear regression is best made after a visual inspection of the scatterplot and consideration of the relationship's linearity.

To visualize a correlation and assess the potential influence one variable may have on another, a researcher can use a scatterplot. This graph plots points at the intersection of the paired values on Cartesian coordinates, providing a clear image of the relationship.

Answer:

( x+4) ( x-1)

Step-by-step explanation:

x^2 + 3x – 4

What two numbers multiply to -4 and add to 3

4 * -1 = -4

4+-1 = 3

( x+4) ( x-1)

The factors of x^2 + 3x - 4 are (x + 4) and (x - 1). To find the factors, identify two numbers that multiply to -4 and add up to 3. The factored form of x^2 + 3x - 4 is (x + 4)(x - 1).

The factors of x2 + 3x - 4 are (x + 4) and (x - 1).

To find the factors, you need to look for two numbers that multiply to -4 and add up to 3 (the coefficient of the x-term).

Therefore, x2 + 3x - 4 = (x + 4)(x - 1).

Answer:

No solutions. You can’t have a negative absolute value.

Answer:

B pi/4 the volume of the pyramid or pi/4 (2r)^2 (h)/3or 1/3 πr^2h.

Step-by-step explanation:

i did this b4

The solution is, the volume of the cone equals π/4  the volume of the  pyramid.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*π

The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4

=> the ratio of volume of the cone to the pyramid is:

= V1/V2

= (1/3*h*π ) / ( 1/3*h*4 )

= π/4

So, we can conclude that the volume of the cone equals π/4  the volume of the  pyramid.

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