Find the equation of the line that passes through points A and B.
y.
A (4,7)
B (2,3)

Answer:

Quadrilateral

Step-by-step explanation:

No sides are parallel so it's not a trapezoid

Answer:

V=1/3πSh=72π

Step-by-step explanation:

Need to find S(area):

S(triangle)=1/2x6x8=24(ft)

h=9(ft)

=> V=1/3πSh=72π

Answer:

the 3rd doesnt have a relationship and the 4th one is positive relationship

Step-by-step explanation:

Answer:

12.25

Step-by-step explanation:

You have to work it out like if it was a ratio.

basically you need to make 7/x equal to 4/7

to do this you divide 4 by 7 and the divide 7 by the answer. This will make x equal to 12.25

Answer:

graph A  

Hope that helps!                                                                                                  

Answer: Graph a

Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).

Answer:

see image

Step-by-step explanation:

Putting the data on the line plot is not too bad. Just put an x above the number on the numberline. If a number in the data set repeats, just stack those x's up over the numberline. It seems like the hardest part is labelling the number line. Each tick mark can be 1/8. On the image I wrote all the fractions in eighths at the bottom, then to label the numberline I used the simplified fractions. For example I started with 1 3/8 because it was the smallest number in the data set. Next is 1 4/8, but simplified that is 1 1/2. So 1 1/2 is how we label the numberline.

There were 12 pieces of data, but really only six numbers because some were repeated.

Stack x's above the numberline. Done! You have a line plot. See image.

Answer:

1. 1/⅜

2. 1/⅜

3 is 2/¼

4 is 2/¼

5 is 2/¼

6 is 2/⅞

7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

10 is 3/⅛

11 is 3/⅛

Step-by-step explanation:

Mixed number to Improper Fraction

1.9/4

2.13/4

3.23/8

4.25/8

5.23/8

6.25/8

7. 5/2

8.9/4

9. 23/8

10. 5/2

11. 11/8

12. 25/8

then you make it into the same denominator

1. 18/8

2. 26/8

3. 23/8

4. 25/8

5. 23/8

6. 25/8

7. 20/8

8. 18/8

9. 23/8

10. 20/8

11. 11/8

12. 25/8

then what ever numerator is smallest you put at front and it goes onto the biggest one

e.g ASCENDING ORDER

However you'll need to put it back into the normal mixed number, so all you have to do is revert let's say 25/8 into 3/⅛, and put it onto the graph

1. 1/⅜

1. 1/⅜2. 1/⅜

. 1/⅜3 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞

. 1/⅜3 is 2/¼ 4 is 2/¼5 is 2/¼6 is 2/⅞7 is 2/⅞

8 is 2/⅞

9 is 3/⅛

9 is 3/⅛10 is 3/⅛

11 is 3/⅛

and number 12 which is the biggest and the last one the you should put(on the end of graph) is

3/¼

I did rush this so I hope this is the correct answers

Answer:

Using a calculator, we can find the cube root of 16:

∛16 ≈ 2.5198

Adding 10 to this value, we get:

10 + ∛16 ≈ 12.5198

Rounding this to the nearest tenth, we get:

10 + ∛16 ≈ 12.5

The nature of solutions to equations can be finite, infinite or no solution. The solution to the system of equation 3x + 6 = -1-3 + 4x is 10

The nature of solutions to equations can be finite, infinite or no solution.

Given the linear solution as shown:

3x + 6 = -1-3 + 4x

Collect the like terms

3x - 4x = -1 -3 -6

-x = -10

Multiply both sides by -1

-(-x) = -(-10)
x = 10

Hence the solution to the system of equation 3x + 6 = -1-3 + 4x is 10

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Answer:

nice

Step-by-step explanation:

The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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Answer:

4 squares

10 triangles

Step-by-step explanation:

t=3g

s=7g

t+s=14   t=14-s

3t+7s=58

substitute

3(14-s)+7s=58

42-3s+7s=58

reduce

4s+42=58

4s=16

s=4

t=14-4=10

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

The average mass of a person is 73 kg, and the distance their center of mass rises after leaving the ground is approximately m/s.

To calculate the distance the average person's center of mass rises after leaving the ground, we can consider the concept of work-energy theorem. When a person jumps, the work done on their body is equal to the change in their kinetic energy. Assuming there is no external work done on the person, the initial kinetic energy is zero. Therefore, the work done on the person is equal to the final kinetic energy.

The work done on an object is given by the equation W = Fd, where W is the work, F is the force, and d is the displacement. In this case, the force acting on the person is their weight, which can be calculated using the formula F = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s²). The displacement is the distance the center of mass rises, which is what we need to find.

The work done on the person can be expressed as W = mgh, where h is the height or distance the center of mass rises. Equating this to the final kinetic energy, we have mgh = (1/2)mv², where v is the velocity of the person when leaving the ground. Since the initial kinetic energy is zero, we can simplify this equation to mgh = (1/2)mv².

We can rearrange this equation to solve for h: h = (1/2)v²/g. Plugging in the values, with the mass m = 73 kg and g = 9.8 m/s², we can calculate the value of h. However, the velocity v is not provided, so we cannot determine the exact value of h.

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The number of t shirts she sell is 4 when her income is $205.

The given equation is I=100+12J+5T+7S+5H-8M

Where I is her income

J is the number of jeans she sell

T is the number of T shirts she sell

S is the number of shorts she sell

H is the number of hats she sell

M is the number of meals she buy

If emma makes $205 in a week by selling 6 number of jeans, 4 shorts, 5 hats and buy 5 meals

We have to find number of t shirts she sell

205 = 100+ 12(6)+5T+7(4)+5(5)-8(5)

205=100+72+5T+28+25-40

205=185+5T

205-185=5T

20=5T

4=T

Hence, the number of t shirts she sell is 4 when her income is $205.

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Negative 2/3 is less than negative 1.

They both are located to the left of zero on the number line. That means negative 2/3 comes first and negative 1 comes second (both moving towards the left).

Therefore the correct answer is option 1

Answer:

25%

Step-by-step explanation:

Mrs. Loar has to grade 75 papers. Mrs. Holt is helping her grade. Mrs. Loar graded 60 papers and Mrs. Holt graded the rest.

Hence, the amount of papers Mrs Holy graded is = 75 - 60

= 15 papers

What percent of the papers did Mrs. Holt grade?

This is calculated as:

15/60 × 100 = 25%

Hence, Mrs Holy graded 25% of the papers

Answer:

Step-by-step explanation:

The length of this triangle is 10 squares

and the width is 4 squares

The diagonals divide the rectangle into four triangles

These traingles are isoceles

Each two triangles facing each others are identical

<B = 90 degree

B = alpha + Beta

Let Beta be the angle next alpha

The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:

Beta = 2x

Then B = alpha + 2x

90 = alpha +2x

90-alpha = 2x

x = (90-alpha)/2

Answer:

x = 90 - 2α

Step-by-step explanation:

Solution:-

- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".

                       < BAD > + < ADB > + < ABD > = 180°

                       < ABD > = 180 - 90° - α

                        < ABD > = 90° - α

- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".

- We name the foot of the perpendicular bisector as " F ":  " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.

                    < ABD > = < BAE >  = 90° - α   ... ( Isosceles triangle " BEA " )

Where, sides ( BE = AE ).

- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:

                     < ABF> + < BFA > + < BAF > = 180°

                     < ABF > = 180 - (90° - α) - 90°

                    < ABF > = α  

Where,       < BAF > = < BAE >

- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE >  = x.

                        < ABD > = < ABE > = < ABF > + x

                         90° - α = α + x

                        x = 90 - 2α   ... Answer

Answer:

92.6 (A-)

Step-by-step explanation:

i used a grade calculator

Answer:

x = 5

Step-by-step explanation:

10 * 7 = x * 14

10 * 7 = 70

14 * x = 14x

14x = 70

divide each side by 14

14x / 14 = x

70 / 14 = 5

we're left with x = 5

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The best estimate of the magnitude of the box's acceleration is equal to: B. 11 m/s².

In order to determine the magnitude of the acceleration of this box, we would first of all calculate the magnitude of the kinetic frictional force.

Mathematically, the kinetic frictional force that is acting on a physical body can be calculated by using this equation:

F = μkN = μk(mg)

Where:

Substituting the given parameters into the formula, we have;

F = 0.20 × 2.0 × 9.81

F = 3.924 Newton.

By applying Newton's second law of motion, the net force is given by:

∑Fx = Applied force - kinetic frictional force = ma

Acceleration, a = [Applied force - kinetic frictional force]/m

Acceleration, a = [25 - 3.924]/2

Acceleration, a = 21.076/2

Acceleration, a = 10.538 ≈ 11 m/s²

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Answer:

x= 8

Step-by-step explanation:

17x+14+4x-2= 180

21x= 168

x= 8

The smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

The nullity of a matrix is the dimension of its null space, which represents the set of vectors that satisfy the equation A * x = 0, where A is the matrix and x is a vector.

The nullity of a matrix can range from 0 to the number of columns in the matrix. In this case, since A is a 3 x 8 matrix, the minimum possible value of nullity(A) is 0, indicating that the null space is trivial and contains only the zero vector. This occurs when the matrix is full rank, meaning that its columns are linearly independent.

On the other hand, the maximum possible value of nullity(A) is 8, which would occur if the matrix has rank 0. In this case, all the columns of the matrix are linearly dependent, and the null space spans the entire vector space of size 8.

Therefore, the smallest possible value of nullity(A) is 0, and the largest possible value of nullity(A) is 8.

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Answer:

x = -16

Step-by-step explanation:

2x - 1/4x= -28

2x - 0.25x= -28

1.75x = -28

1.75x/1.75 = -28/1.75

x = -16

Answer:

Step-by-step explanation:

Let the amount of gas in the tank before filling was x.

We have:

let the amount of gas be x

\(\\ \sf\longmapsto x+2\dfrac{4}{7}=4\)

\(\\ \sf\longmapsto x+\dfrac{18}{7}=4\)

\(\\ \sf\longmapsto x=4-\dfrac{18}{7}\)

\(\\ \sf\longmapsto x=\dfrac{28-18}{7}\)

\(\\ \sf\longmapsto x=\dfrac{10}{7}\)

\(\\ \sf\longmapsto x=1\dfrac{3}{7}\)

Answer:

100°C

Step-by-step explanation:

Substitute in the values:

C = 5/9 × (212 - 32)

Simplify:

C = 5/9 × 180

1/9 of 180 = 20 (180 ÷ 9)

∴ 5/9 of 180 = 100°C (20 × 5)

Answer:

c=100C°

we learn that in intermational school

An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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Answer:

4000 millilitres

Step-by-step explanation:

She brought 32 L of water to the football game and divided the water equally between 8 coolers.

Therefore, cooler will have:

32 / 8 = 4 L

1 litre = 1000 millilitres

4 litres = 4 * 1000 = 4000 millilitres

Each cooler will have 4000 millilitres.