Jessica locates her garden using a coordinate grid with yards as the units. The two points (8, -2) and (5, -3) represents the two corners of the garden. Approximately how far apart are the two corners?

There are 30 different combinations of two members who can be selected to serve on the spring formal committee.

Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.

To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.

In this case, n = 6 and k = 2,

so we have

=> 6P2 = 6!/(6-2)!

=> 6!/(4!) = 6 x 5/1 = 30.

So, there are 30 possible spring formal committees that can be formed from the six members of the student council.

To know more about permutation here.

https://brainly.com/question/1216161

#SPJ4

The ball reaches its maximum height after 2 seconds.

To determine when the ball reaches its maximum height, we need to find when its velocity changes from positive to negative. The velocity of the ball is given by the derivative of its height, which is the function h'(t) = -16t. The ball's velocity is 0 when h'(t) = 0, so we need to solve -16t = 0.

The solution to this equation is t = 0. When t = 2, h'(t) = -32, which is negative, indicating that the ball is moving downward. So, the maximum height is reached when the velocity changes from positive to negative, which is at t = 2 seconds.

Learn more about Velocity here:

https://brainly.com/question/25749514

#SPJ4

The sum of the interior angles of a triangle is always 180°, using that we will see that x = 80°

The first thing you can notice is that we have a triangle with two equal sides, that means that the two bottom angles have the same measure.

Also, remember that the sum of the interior angles of any triangle is always equal to 180°, then we can write the equation:

50° + 50° + x = 180°

Solving that for x we will get:

x = 180° - 50° - 50° = 80°

Learn more about interior angles:

https://brainly.com/question/24966296

#SPJ1

Answer:

Start by evening out the sides

6x + 6 = -12

      -6 = -6

6x = 18

Divide by six (bc variable in front of x)

x = 3

dy/dx = 0 when x = - 2, and x = 2/3 is not possible.

dy/dx = 0 when x = - 1, and x = 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

y = x³ - 6x² - 15x - 7

Differentiating w.r.t x.

[ d[tex]x^n[/tex]/dx = n[tex]x^{n - 1}[/tex] ]

[ dc/dx = 0 ]

dy/dx = dx³/dx - 6dx²/dx - 15dx/dx - d7/dx

dy/dx = 3[tex]x^{3 - 1}[/tex]dx/dx - 6 x 2[tex]x^{2-1}[/tex]dx/dx - 15 - 0

dy/dx = 3x² - 12x - 15

Now,

dy/dx = 0

3x² - 12x - 15 = 0

3(x² - 4x - 5) = 0

x² - 4x - 5 = 0

x² - (5 - 1)x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x - 5) (x + 1) = 0

x - 5 = 0

x = 5 _____(1)

x + 1 = 0

x = -1 _____(2)

Now,

For x = 2,

dy/dx = 3x² - 12x - 15

dy/dx = 3 x 4 + 24 - 15

dy/dx = 12 - 24 - 15

dy/dx = 12 - 39

dy/dx = -27 _____(3)

For x = 2/3,

dy/dx = 3x² - 12x - 15

dy/dx = 3 x 4/9 + 24 x 2/3 - 15

dy/dx = 4/3 + 16 - 15

dy/dx = 4/3 + 1

dy/dx = 7/3 _____(4)

From (1), (2), (3), and (4)

dy/dx = 0 when x = - 2 and x = 2/3 is not possible.

Thus,

dy/dx = 0 when x = - 1, and x = 5.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Kiran iS playing a computer game. He procures 3 stars for each simple level he finishes and 5 stars for each troublesome level he finishes. He finishes in excess of 20 levels altogether and procures at least 80 stars.

Let 'x' be the number of easy levels and 'y' be the number of difficult levels.  Then the equations are given as,

x + y > 20

3x + 5y > 80

The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

The probability of the spinner not stopping at a white section 0.82.

The probability of the spinner not stopping at a white section is 1 minus the probability of the spinner stopping at a white section.

= 1 - probability of the spinner stopping at a white section

Since there are 2 white sections out of 11 total sections, the probability of stopping at a white section

= required outcome / possible outcome

= 2/11.

Therefore, the probability of not stopping at a white section

= 1 - 2/11

= 9/11.

Rounded to the nearest hundredth, this value is 0.82.

Learn more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

the answer is in the picture.. if you need to actually solve the system please tell me and i will send that too

The expression 12x - 24 is factorized to give -12(x + 2)

Algebraic expressions are defined as expressions that are composed of terms, factors, constants, variables and coefficients.

They are also seen as expressions with arithmetic operations, such as;

To factor an algebraic expression is to find the greatest common multiples of the terms in the expression

From the information given, we have that;

-12x - 24

Factor the common terms

-12(x + 2)

Hence, the expression is -12(x + 2)

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

a) Y can be found using the midpoint formula, which states that the midpoint of a line segment has coordinates equal to the average of the coordinates of its endpoints. In this case, the coordinates of Y are equal to the average of the coordinates of X and M.

The formula for finding the midpoint of two points is:

Midpoint = ( (x1 + x2) / 2, (y1 + y2) / 2 )

So, the midpoint of X and Y is ( ( -4 + 4 ) / 2, ( 2 + 3 ) / 2 ) = (0, 2.5)

b) In the same way, the midpoint of X and Y is ( ( -1 + 1 ) / 2, ( -3 + -3 ) / 2 ) = (0, -3)

c) The midpoint of X and Y is ( ( 6 + 2 ) / 2, ( -3 + 1 ) / 2 ) = (4, -1)

d) The midpoint of X and Y is ( ( 4 + 0 ) / 2, ( -3 + -3 ) / 2 ) = (2, -3)

learn more about midpoints: https://brainly.com/question/5566419

#SPJ1

Answer:

sjjejejejenenenwjjwnwnwnwnwnwn

Step-by-step explanation:

ewhw

Answer: can be fixed

Step-by-step explanation:

The vertex of the absolute function is at (-2, 0). Then the graph of the absolute function f(x) = - |x + 2| will be drawn below.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The equation is given below.

f(x) = - |x + 2|

Then the absolute function is written as,

f(x) = - (x + 2), x ≥ -2

f(x) = - [- (x + 2)], x < -2

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

The vertex of the absolute function is at (-2, 0). Then the graph of the absolute function f(x) = - |x + 2| will be drawn below.

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ1

The required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In comparison to the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces, the mathematical definition of surface area in the presence of curved surfaces is significantly more complex.

The surface area of smooth surfaces, such as spheres, is determined using their representation as parametric surfaces.

Partial derivatives and double integration are used in this definition of surface area, which is based on infinitesimal calculus techniques.

So, we have the volume:

1,372 cm³

Then, h = 1372/s².

Now, calculate as follows:

4 s 1372/s^2 + s^2 = area

5488/s + s^2 = area

s^2 + 5488 (s^-1) = area    

2s - 5488 s^-2 = 0

5488 s^-2 = 2s

5488 = 2 s^3

2744 = s^3    

s =  14        

s * h * s = 1372    

Then, we will have: h = 7

Surface area = 14*14+4*7*14 = 196+4*7*14 = 588 cm²

Therefore, the required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.

Know more about the surface area here:

https://brainly.com/question/16519513

#SPJ4

Answer:

Step-by-step explanation:

112+120+133+128+100+x=720

593+x=720

x=720-593

x=127

The total surface area of the square pyramid is 240 ft².

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

The total surface area of the square-shaped pyramid is the sum of areas four similar triangles having a height of 8 feet,

And a base of 12 feet and the area of a square having sides lengths of 12 feet which is,

= 4[(1/2)×8×12] + 12×12 ft².

= 4×4×12 + 144 ft².

= 96 + 144 ft².

= 240 ft².

learn more about pyramids here :

https://brainly.com/question/1116993

#SPJ1

The translation from figure 1 to figure 2 is 4 units to the left and one unit up.

Here we have two figures, the blue one is figure 1 and the orange one is figure 2.

Clearly we have a translation here, to identify the translation just analyze one of the vertices.

The top vertex at the blue figure is (2, 1)

The top vertex at the orange figure is (-2, 2)

The translation is given by:

T = (-2, 2) - (2, 1) = (-4, 1)

So we have a translation of 4 units to the left and one unit up.

Laern more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

Step-by-step explanation:

answer is a

The car drive 36,666.66 miles in 5 year.

Given:

A car drove 22, 000 miles in 4 months.

So, in one year the car drive

= 22,000 x 4/12

and, in 5 year the Car drove

= 22,000 x 4/12 x 5

= 36,666.66 miles

Hence, the car drive 36,666.66 miles.

Learn more about Speed- Distance formula here:

https://brainly.com/question/4978052

#SPJ1

A formula one race car will travel for 193.45 miles before changing its tires.

From the case, we know that:

tires diameter = 26 in.

1 set of tires = 150,000 rotations

12 in = 1 ft

1 miles = 5280 ft

We need to find the circumference of the tires before finding the total travel length.

Circumference = πd

Circumference = π(26in)

Circumference = 81.714 in.

We need to find the tires circumference in mile scale:

Circumference = 81.714 in : (12 inc/ft) : (5280 ft/miles)

Circumference = 0.0013 miles

Total travel distance = tires circumference x rotations

Total travel distance = 0.0013 x 150,000

Total travel distance = 193.45 miles

Learn more about Circumference here: brainly.com/question/4268218

#SPJ1

Answer:

Below

Step-by-step explanation:

X is tha same as the samll angle next to 77°

77+ x = 90    shows x = 13 degrees

Answer:

x=13 degrees

Step-by-step explanation:

by vertical angles, angle FGD = angle CGE = x

by supplementary angles, angle AGD = 90 degrees because angle AGC = 90 degrees

Because you know that AGF = 77 degrees, you can determine that

FGD = AGD-AGF

FGD = 90-77

FGD = 13

because of vertical angles, x = 13 degrees

The number of revolutions per foot is 1/4 and the slope is 1/4

From the question, we have the following parameters that can be used in our computation:

The graph

The graph passes through the origin

So, we can make use of a point to determine the required

So, we have

Revolution = y/x

This gives

Revolution = 1/4

This is also the same as the slope

i.e. slope = 1/4

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

x+21 is the length of GH from the given figure.

A triangle is a three-sided polygon that consists of three edges and three vertices.

A triangle GHJ, M is the intersection of the three medians.

Given that GJ is twenty one.

GJ=21

We need to find the length of GH.

Let the length of HJ is x.

Now GH=HJ+GJ

GH=x+21

Hence, x+21 is the length of GH from the given figure.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

The transformations of the parent cube function to the function g(x) = -2(x + 4)³ - 5 are given as follows:

The parent cube function is given as follows:

f(x) = x³.

The transformed cube function is given as follows:

g(x) = -2(x + 4)³ - 5.

Hence the transformations are given as follows:

More can be learned about transformations at https://brainly.com/question/29209050

#SPJ1

The amount in weight the baby elephant grew each month is given by the equation m = 38 kilograms

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.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount in weight the baby elephant grew each month be m

Now , the equation will be

The initial weight of the baby elephant a = 134 kilograms

The final weight of the baby elephant b = 362 kilograms

Now , the number of months = n

The value of n = 6 months

So , amount in weight the baby elephant grew each month m = ( b - a ) / n

Substituting the values in the equation , we get

Amount in weight the baby elephant grew each month is

m = ( 362 - 134 ) / 6

On simplifying the equation , we get

m = 228/6

m = 38 kilograms

Hence , the baby elephant grew 38 kg every month

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

20/6 = 3.33

20 - 6 = 14

The series 16+24+36+54+... diverges.

Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.

The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.

Read more about the series on:

https://brainly.com/question/24295771

#SPJ4

Answer:

Step-by-step explanation:

1=3x3)=9+2=11

Answer:

6

Step-by-step explanation:

3/4 * x/7 = 9/14

x= 6

When reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to a) hundredths place.

A burette is a long tube-shaped glass instrument with scale lines like a measuring pipette or measuring cup with the same cross section from top to bottom. At the bottom of this tool is equipped with a faucet as a place for the solution to come out at the mouth of the burette.

The function of the burette is as a tool to measure the solution based on the volume released. The burette size usually has a volume of 25 / 50 ml.

If the burette is being used, it must be supported firmly with a stand equipped with clamps to clamp the burette. Make sure that when clamping the burette in the stand and clamp the position of the burette must be perpendicular so that the scale reading is correct and does not cause paralax errors.

Learn more about buret at https://brainly.com/question/25223760.

#SPJ4