A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

Answer:

Step-by-step explanation:

65 miles = 2 inches

65 * 3 miles = 2 * 3 inches

195 miles = 6 inches

At the bottom;
Correlation: r ≈ 0.988

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EDGE2022; Good Luck!!!

the composition of transformations that map ABCD to EHGF is a reflection over the y-axis followed by a translation by (4,7).

What is axis reflection ?

An axis reflection is a transformation in geometry that involves reflecting a point, a line, or an object across a given axis. In two dimensions, there are two axes of reflection: the x-axis and the y-axis.

When reflecting over the x-axis, all points stay in the same horizontal position but change their vertical position, so a point (x,y) is reflected to (x,-y).

When reflecting over the y-axis, all points stay in the same vertical position but change their horizontal position, so a point (x,y) is reflected to (-x,y).

Axis reflections can be used to transform geometric shapes such as polygons, circles, or lines. These transformations have important applications in various fields, including physics, engineering, computer graphics, and art.

To find the composition of transformations that map ABCD to EHGF, we first need to determine the individual transformations that are needed.

Reflecting over the y-axis will change the x-coordinates of the points, but leave the y-coordinates unchanged. So, to reflect over the y-axis, we negate the x-coordinates of the points.

The translation (x+4, y+7) will move each point 4 units to the right and 7 units up.

Therefore, the composition of transformations is:

Reflect over the y-axis by negating the x-coordinates:

A'(-2, 3), B'(-4, 2), C'(-4, 0), D'(-2, -1)

Translate by (4,7):

A''(2, 10), B''(0, 9), C''(0, 7), D''(2, 6)

Therefore, the composition of transformations that map ABCD to EHGF is a reflection over the y-axis followed by a translation by (4,7).

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Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

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The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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Answer:

13p - 17q + 2 (Option B)

Step-by-step explanation:

\(7p + 20 - 13q - 4q - 18 + 6p\)

Step 1) Arrange all like terms.

\( = > (7p + 6p) + ( - 13q - 4q) + (20 - 18)\)

Step 2) Add/substract all those like terms and you're done.

\( = > 13p - 17q + 2\)

Answer:1 and 4

Step-by-step explanation:

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

4x-2

Step-by-step explanation:

First, distribute the minus sign.

-2x+3-(5-6x)

-2x+3+ -1(5)+ -1(-6x)

-2x+3+ (-5) + (6x)

-2x+3-5+6x

Next, combine like terms.

-2x+3-5+6x

(-2x+6x)+(3-5)

4x+(-2)

4x-2

Answer:

4x - 2

Step-by-step explanation:

-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )

-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)

4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)

4x -2( After that subtract 3-5 ad the answer is -2)

THE FINAL ANSWER BECOMES 4x - 2

HOPE IT HELPED

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

A=(-1,-1)

B=(0,2)

C=(2,0)

Step-by-step explanation:

Sorry for some reason it says C at the bottom and D in the graph...

But hope this helps :)

Answer:

4/16

Step-by-step explanation:

Answer:

nvm the other guys right

I'm slow

Answer:

12:23

Step-by-step explanation:

3+11+9=23

9+3=12

9+3 is the number of movies which are not comedies

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

The additional gas it will take to fill the tank is 16 gallons

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

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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Answer:

-4x+2 hope this helps

Step-by-step explanation:

The area of glass used to make the window is 3200 sq. cm.

A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;

area of a kite = (length of diagonal 1 * length of diagonal 2) / 2

Therefore to determine the square meter of glass used to make the window in the given question, we have;

length of diagonal 1 = 40 + 40

                                 = 80 cm

length of diagonal 2 = 35 + 45

                                  = 80 cm

area of the window = (80*80)/2

                                 = 6400/2

area of the window = 3200 sq. cm.

Therefore, 3200 sq. m. of glass was used to make the window.

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Answer:

21

Step-by-step explanation:

solved it

Answer:

3/5

Step-by-step explanation:

You'll get 0.6 if you divide it

Answer:

3/5

Step-by-step explanation:

5/12 = 0.41666

4/9 = 0.4444

3/7 = 0.4285714

7/13 = 0.538461

3/5 = 0.6

Answer:

h(10) = -4

Step-by-step explanation:

h(x) = 6 - x

h(10) = 6-10

h(10) = -4

The mean for the short-term parking spaces in 9 airports is =

3758.4444.

Average is another word for "mean." For instance, if we say that the average height of the 9th grade class is 150 cm, it signifies that this is the mean of all of the kids' heights.

The statistical notion of mean, which is employed in a variety of financial areas and corporate appraisal, has significant financial implications. The three statistical indicators of the central tendency of a data set are mean, median, and mode.

Now in the question, to find mean,

(5575 + 5617 + 3324 + 7860 + 494 + 3204 + 275 + 6899 + 578)/9

= 3758.4444

Therefore, the mean of the 9 airports = 3758.4444

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Thus, the derivative of the given function is found as: \(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\).

The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes.  A shift in the value of x is depicted in the image by the symbol x.

Hence, df/dx is a single phrase and should not be mistaken for a fraction. It is also a clue that x is the independent variable because it can be interpreted as the derivative of a function having respect to x.

Given function:

\(f(x ) = \sqrt{9 + x^{2} } .dx\)

Differentiating the function with respect to x, using the chain rule.

\(f'(x) = (9 + x^{2} )^{1/2 - 1} .(0 + 2x)\)

\(f'(x) = (9 + x^{2} )^{-1/2} .(2x)\)

\(f'(x) = (2x) /(9 + x^{2} )^{1/2}\)

\(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\)

Thus, the derivative of the given function is found as: \(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\).

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Note that given the proof of congruence by SAS, the only thing remaining to know is that "2 corresponding sides and the corresponding included angles of both triangles are equal."

The definition of SAS Congruency is as follows:

The SAS postulate states that two sides and the included angle of one triangle are identical to the corresponding two sides and the included angle of another triangle.

As demonstrated in the triangle, the angles mCAD and mACB are congruent. Thus; m∠CAD ≅ m∠ACB

Because m∠CAD and m∠ACB are congruent, AD and BC must also be congruent. Now, because AC is shared by both triangles ABC and ADC, we get two matching equal sides with the included corresponding equal angles.

As a result, the SAS Congruence postulate is proven.

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Answer:

20%

Step-by-step explanation:

The theoretical probability that applesauce and broccoli will both offered on monday is 20%.

A combination is a way of selecting items from a collection where the order of selection does not matter. It is calculated by

\(^{n} C_{r} = \frac{n!}{(n-r)!}\)

Where,

\(^{n} C_{r}\) is the total number of combinations.

n is the total number of objects

r is the number of objects selected.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

According to the question.

There are total 6 dishes.

Manger have to choose three dishes for monday.

Now the total number of combination of selecting 3 dishes from 6 dishes

\(=^{6} C_{3}\)

\(= \frac{6!}{3!(6-3)!}\)

\(= \frac{6\times5\times4\times3!}{3\times2\times1\times3!}\)

\(=20\)

So, the manager has total 20 choices to select three dishes randomly out or 6 dishes.

Also, it is given that for monday applesauce and broccolli will both offered so the number of choices or combination or the three dishes will be

Therefore, the theoretical probability that applesauce and brocoli will both be offered on monday

\(= \frac{4}{20}\times100\)

\(= \frac{1}{5} \times 100\\= 20\%\)

Hence, the theoretical probability that applesauce and broccoli will both offered on monday is 20%.

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Answer:

Yo, the equation of the circle that's chillin' and just grazin' against the line y = -4, with its center chillaxin' at (5, 4), is:

(x - 5)^2 + (y - 4)^2 = r^2

where r is the radius of the circle. Keep it cool, bro!

(1) +8,+4,0,+2,+3 = 0 , 2 , 3 , 4 , 8

(2) -1,-11,-5,-0,-12 = -12 , -11 , -5 , -1 , -0

For solving this problem we need to remember the generic formula. If we have a circle sector with angle x (in degrees),

The trick of this exercise is that our angle is expressed in degrees (°). Be careful!

Let's compute the solution:

That's the final answer.

Comment: For every exercise of this kind you only need to apply the formula I provided you above. If the angle is in radians, the formula is

Bert, Camille, and Etsuko.

Answer:

Bert, Camille, and Etsuko has the solution as x = 4.

Step-by-step explanation:

Bert:

2x - 9 = -1

Camille:

-2x + 12 = 4

Etsuko

\(2(x - 10) = - 12\)