Paj is filling a 9-inch- flower pot with soil from small bags. Each bag of soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for paj to fill the flower pot

Answer:

  f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

  34, 10, -8, ?

The first differences of these numbers are ...

  10 -34 = -24

  -8 -10 = -18

And the second difference is ...

  -18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

  ? -(-8) = -18 +6

  ? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

Answer:

w = 3 ft

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

30 = 10 *w

Divide each side by 10

30/10 = 10w/10

3 = w

Answer:

x = 15/2

Step-by-step explanation:

Solve for x:

x - 5 = 2 + 1/2

Hint: | Put the fractions in 2 + 1/2 over a common denominator.

Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:

x - 5 = (2×2)/2 + 1/2

Hint: | Multiply 2 and 2 together.

2×2 = 4:

x - 5 = 4/2 + 1/2

Hint: | Add the fractions over a common denominator to a single fraction.

4/2 + 1/2 = (4 + 1)/2:

x - 5 = (4 + 1)/2

Hint: | Evaluate 4 + 1.

4 + 1 = 5:

x - 5 = 5/2

Hint: | Isolate terms with x to the left hand side.

Add 5 to both sides:

x + (5 - 5) = 5/2 + 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 5/2 + 5

Hint: | Put the fractions in 5/2 + 5 over a common denominator.

Put 5/2 + 5 over the common denominator 2. 5/2 + 5 = 5/2 + (2×5)/2:

x = 5/2 + (2×5)/2

Hint: | Multiply 2 and 5 together.

2×5 = 10:

x = 5/2 + 10/2

Hint: | Add the fractions over a common denominator to a single fraction.

5/2 + 10/2 = (5 + 10)/2:

x = (5 + 10)/2

Hint: | Evaluate 5 + 10.

5 + 10 = 15:

Answer: x = 15/2

Answer:

7 1/2

Step-by-step explanation:

Hello!

To solve this we have to get x by itself

What we do to one side of the equation we have to do to the other

-5 + x = 2 1/2

To get -5 to the other side we have to add 5 to make it zero

What we do to the left side we have to do to the right

-5 + 5 + x = 2 1/2 + 5

Simplify

0 + x = 7 1/2

We can drop the 0

x = 7 1/2

The answer is 7 1/2

Hope this helps!

Answer:

15a⁴b²-20a³b³+30a²b⁴

Step-by-step explanation:

3a²-4ab+6b²

so for 5a²b²

(5a²b²)(3a²-4ab+6b²)

=15a⁴b²-20a³b³+30a²b⁴

By applying the distributive property, 5a²b² × (3a²- 4ab + 6b²)​ = 15a⁴b² - 20a³b³ + 30a²b⁴

Given the expression: 5a²b² × (3a²- 4ab + 6b²)​

We would apply the distributive property by multiplying every term inside the parentheses by 5a²b².

This can be done as shown below:

5a²b² × (3a²- 4ab + 6b²)​ = 5a²b²(3a²) - 5a²b²(4ab) + 5a²b²(6b²)​

5a²b² × (3a²- 4ab + 6b²)​ = 15a⁴b² - 20a³b³ + 30a²b⁴

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Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

Angle Angle AA similarity postulate states that two triangles are similar if

two angles in one of the triangles are congruent (equal) to two angles in the

other triangle

The correct option for the method and additional information that would

prove triangle ONP and triangle MNL similar by AA similarity postulate is

option B.

B. Use rigid transformation to prove that angle NPO is congruent to angle NLM

The reason for arriving at the above selection is as follows;

The known parameter in triangle ΔONP and ΔMNL are;

Lines MO and LP intersect at vertex point N.

The angles on opposite side of the point N (either side of the X shape

formed by the two lines) which are ∠ONP and ∠LNM are vertically opposite

angles or opposite angles.

According to vertically opposite angles theorem ∠ONP and ∠LNM, which

are vertically opposite angles are congruent, and we can write.

∠ONP ≅ ∠LNM

The required parameter;

To find the additional information that would prove ΔONP and ΔMNL by

AA (Angle-Angle) similarity postulate.

Strategy;

Given that from the drawing, one (vertex) angle in one triangle is congruent

to one (vertex) angle in the other triangle, that is ∠ONP ≅ ∠LNM, it is

required to prove that one other angle in triangle ΔONP is congruent to a

corresponding angle in triangle ΔMNL.

Solution;

Prove that either ∠NPO or ∠NOP in ΔONP are congruent to ∠NLM or

∠NML respectively in ΔMNL by performing rigid transformations

(transformations that does not change shape) on either ΔONP or ΔMNL

including;

Therefore, the correct option is option B. Use rigid transformation to prove

that angle NPO is congruent to angle NLM.

Learn more about similarity, congruency postulates and rigid transformations here;

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Answer:

B = -5x + 30

Step-by-step explanation:

y= mx+b

m = slope = rise/run = -5

b = y-int = 30

Answer:

B = -5x + 30

Step-by-step explanation:

y= mx+b

m = slope = rise/run = -5

b = y-int = 30

Answer:

1) a = 65

2) b = 61

3) c = 55

Step-by-step explanation:

1)

a + 115 = 180

a = 65

2)

b + 119 = 180

a = 61

3)

c + 75 + 50 = 180

c = 55

Answer:

a. 5/12

b. 7/18

Step-by-step explanation:

In this question, we are interested in computing the probabilities.

Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.

This can be found in the attachment.

What is important to know however is that the total number of possible results is 36;

so let’s compute;

a. For a, let’s circle all sums which are greater than 7 ;

We can see a total of 16 circled sums;

So the probability is 15/36 = 5/12

b. Sum divisible by 4 or 6 or both

Let’s make a circle again ;

So we have a total of 14

So the probability will be 14/36 = 7/18

Answer:

D

Step-by-step explanation:

The answer is 40km.

24 plus 10 equals to 34 and a few extra km would lead to 40km

Answer:

(x+8)²

Step-by-step explanation:

x² + 16x + 64 = (x+8)²

(x+8)² = (x+8)(x+8) = x*x + x*8 + 8*x + 8*8 = x² + 8x + 8x + 64

         = x² + 16x + 64

=================================================

Work Shown:

Law of Cosines

c^2 = a^2 + b^2 - 2ab*cos(C)

22^2 = 20^2 + 18^2 - 2*20*18*cos(X)

484 = 724 - 720*cos(X)

484 + 720*cos(X) = 724

720*cos(X) = 724 - 484

720*cos(X) = 240

cos(X) = 240/720

cos(X) = 1/3

X = arccos(1/3)

X = 70.528779

X = 70.5

Make sure your calculator is in degree mode.

Answer:

Option a is right

Step-by-step explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line of reflection,

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

Answer:

Its A

Step-by-step explanation:

BECAUSE IM RIGHT

Answer:

720+810=1530

Step-by-step explanation:

Answer:

47% is the statistic and 31% is the parameter.

Step-by-step explanation:

A parameter is a quantity of a variable representing certain characteristic of a population.

A statistic is a quantity of a variable representing certain characteristic of a sample.

The sample of parents of kindergartners selected is, n = 345.

The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.

That is the population proportion is, p = 0.31.

This is the parameter value.

Of the 349 parents, 47% said they sent their children to pre-kindergarten.

That is the sample proportion is, [tex]\hat p[/tex] = 0.47.

This is the statistic value.

Thus, the correct option is:

47% is the statistic and 31% is the parameter.

Answer:

Step-by-step explanation:

i would believe that it would  so there is your answer

Answer:

0.72

Step-by-step explanation:

5/6 - 1/9 =

(5×9)-(1×6) over (6×9)

= 39/54

=39÷3 over 54÷3

=13/18

Decimal result: 0.72

I asked Google so if this is wrong or unhelpful I'm so sorry.

Answer:

  A) L, N, O, P

Step-by-step explanation:

The even numbers on the number line are marked by the letters L, N, O, P.

_____

If a number gives an integer result when divided by 2, it is an even number. Zero is an even number, giving the integer zero when divided by 2.

Answer:

D. 4[tex]m^{2}[/tex]

Step-by-step explanation:

First find the area of 1 tile

= length * breadth

= 8 * 5

= 40[tex]cm^{2}[/tex]= 40/10000 = 0.004

no. of tiles= 1000

therefore, total area of 1000 tiles = area of room= 1000*0.004

=4[tex]m^{2}[/tex]

Answer:

I think the answers are, rational and real.

Step-by-step explanation:

- 14 belongs to the sets of rational numbers and real numbers.

Rational Numbers: Any number that may be written as a ratio (or fraction) of integers is a rational quantity.

A Rational number is a number that is expressed because of the ratio of two integers, wherein the denominator ought to now not be the same as zero, whereas an irrational number cannot be expressed inside the form of fractions. Rational numbers are terminating decimals however irrational numbers are non-terminating and non-habitual.

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Answer:

Postulate 5, The Parallel postulate: If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.

The parallel postulate is needed to derive the elements, but it seems too complex.

Answer:

VM = 15

Step-by-step explanation:

Given that line segment VM = 4x - 1

line segment MW = 3x + 3,

since M is the midpoint of VW, therefore:

VM = MW

Thus,

[tex] 4x - 1 = 3x + 3 [/tex]

Find the value of x

[tex] 4x - 3x = 1 + 3 [/tex]

[tex] x = 4 [/tex]

VM = 4x - 1

Plug in the value of x

[tex] VM = 4(4) - 1 = 16 - 1 = 15 [/tex]

VM = 15

Answer:

C

[tex] \frac{4}{5} [/tex]

Co efficient means the number or value beside preventing the variable from standing alone

Answer:

c. 4/5

Step-by-step explanation:

4x/5 is the same as 4/5 * x

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

48 ft

A  = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

Answer:

No

Step-by-step explanation:

A parallelogram has opposite angels equal and opposite sides equal. in this case, only a single pair of angels are equal.

Answer:

the one that doesn't belong is 5/3

Average Speed=Total Distance / Total Time

Converting meter into km

300/1000=0.3km

Average Speed=(0.3+0.3)/12

Average Speed=0.6/12

=0.05km/min

I hope this helps you.

Plz mark me as the Brainliest.

Answer:

the lcm is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

Multiples of 6: 6, 12, 18, 24, 30

Multiples of 10: 10, 20, 30

30 is the first number to appear on all three lists of multiples