What is the simplified version of this this (-15a -6b - 4b)

If the third term is 31, then let's get the second term. We have to use the rule we were given and work backwards. So, we will add three and then divide by 2.

31 + 3 = 34

34 / 2 = 17

17 is the second term. Let's do the same thing we just did to find the first term: add three, divide by 2.

17 + 3 = 20

20 / 2 = 10

Answer: the first term is 10

Hope this helps!

After answering the given query, we can state that  Cοnsequently, the area mοsaic has a surface size οf 1176cm².

An area is a measure οf a regiοn's extent οn a surface. The term "surface area" refers tο the area οf an οpen surface οr the perimeter οf a three-dimensiοnal οbject, whereas "planar regiοn" οr "planar regiοn" refers tο the area οf a shape οr planar layer.

The area οf an οbject is the entire vοlume οccupied by its planar (2-D) surface οr shape. On a sheet οf paper, make a square with a pencil. a twο-dimensiοnal figure. On paper, a shape's area is the amοunt οf rοοm it οccupies. Cοnsider that the square is made up οf smaller unit squares.

Since each tile is a right triangle, its area can be calculated by multiplying its limb lengths by twο and dividing by three:

Each blοck has an area οf (7 x 4 cm)/2, οr 14 cm2.

The mοsaic's οverall surface area is because there are 84 pieces in it:

(Area οf each piece) x = tοtal mοsaic area (Number οf tiles)

The mοsaic's tοtal size is 14 cm² times 84, οr 1176 cm².

Cοnsequently, the mοsaic has a surface size οf  1176 cm²

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The option A is correct because the value of the statement is 6+3/n-8.

According to the statement

we have given that the statement and we have to write the statement in the numerical form.

So, For this purpose

we know that the given statement is

"Six more than the quotient of three and a number, decreased by eight".

In this statement "Six more than" indicates the sum between the quotient and 6.

And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

6+3/n-8

So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.

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Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Answer:

(9, 4).

Step-by-step explanation:

To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.

If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).

Therefore, the corresponding point of the function f(x)+5 is (9, 4).

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

y = -1/8

Step-by-step explanation:

substitute 9 in for x in the equation

3(9) - 8y = 28

27 - 8y = 28

-27 from both sides to get

-8y = 1

divide both sides by -8

y = -1/8

The relationship between RR' and SS' following the reflection of the quadrilateral PQRS across the line \(\overleftrightarrow{WY}\) is; RR' ║ SS'

A reflection transformation is one in which the pre-image points are swapped across a line of reflection such that the pre-image and the corresponding image points are equidistant from the line of reflection.

The possible image in the question, obtained from a similar question on the website consists of a trapezoid PQRS reflected across the line \(\overleftrightarrow{WY}\), to produce the image, P'Q'R'S'

The location of an image following a reflection is directly opposite (on the other side of) and the same distance from the line of reflection, and the line joining the pre-image to the image is perpendicular to the line across which the pre-image is reflected.

Therefore;

RR' is perpendicular to \(\overleftrightarrow{WY}\)

SS' is perpendicular to \(\overleftrightarrow{WY}\)

The corresponding angles formed by RR' and SS' and the transversal \(\overleftrightarrow{WY}\) are each 90°, therefore, they are congruent.

Therefore;

RR' is parallel to SS' by the converse of the corresponding angle theorem.

The correct option is therefore;

RR'║SS'

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Answer: RR' || SS'

Step-by-step explanation:

EDGE 2023

f(x) ⇒ a*f(x)

This results in a vertical stretch, or compression.

*There are multiple correct answers when asked about a, or vertical stretches/compressions.

We could say the following:

Both of the above responses are correct.

We're given:

In this case, 0 < a < 1.

True and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.

Answer:

y= 21

Step-by-step explanation:

-7/12=y/-36

Switch sides

y/-36=-7/12

Multiply both sides by -36 and simplify

y=21

Hope this helped! :)

ANSWER:

STEP-BY-STEP EXPLANATION:

We can apply the sine theorem which says the following

now, replacing and solving for L

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

hope it helps

The volume of the triangular pyramid is 150 cubic units.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

We have to find the volume of triangular pyramid

Volume = 1/3×B×h

B is the area of base

B=1/2×10×6

B=30 units

Height = 10 units

Volume = 1/2×30×10

=150 cubic units

Hence, the volume of the triangular pyramid is 150 cubic units.

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The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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The value of x in the equation -4x = 76 is 19.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

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Answer:

P-value = 0.0455

Step-by-step explanation:

In this question, we are concerned with calculating the P- value in a test.

Mathematically we know that;

P-value = 2 * P(Z > |z|)

Please check attachment for complete solution and by step explanation

Answer: 1: $27.92

Step-by-step explanation: Multiply the amount of goodie bags (8) by how much they cost individually ($3.49) and you should come out with the answer $27.92.

Answer: 2 : $37.5

Step-by-step explanation: This would be considered not using long division but this should be the only practical answer. Using long division you would come up with 37 with a remainder of 2, which doesn't seem to be correct.

Answer: 3 : $177.92

Step-by-step explanation: Adding the cost of both the goodie bags and the 4 hours worth of the bounce house the total should have came out to be, $177.92

The correct answer is B. power of the test

The probability that a test correctly rejects a false null hypothesis is referred to as the power of the test. It is a statistical measure that helps us to determine the effectiveness of a test in detecting a real difference or effect when it exists. The power of the test is generally represented by the Greek letter beta (β) and is calculated as 1-β.

A test with a high power value is more likely to correctly reject a false null hypothesis, which means it is better at detecting the real difference or effect when it exists. On the other hand, a test with a low power is more likely to fail to reject a false null hypothesis, which means it is not as effective in detecting the real difference or effect. The p-value and significance level are also statistical measures used in hypothesis testing, but they are not directly related to the power of the test.

P-value refers to the probability of observing a test statistic as extreme or more extreme as the one observed, given that the null hypothesis is true. Significance level refers to the threshold of p-value beyond which the null hypothesis will be rejected.

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The measure of arc PQ is 120°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

There is a theorem in circle geometry that states that angle formed by an arc is twice the angle formed at the circumference.

arc RQ = 2 × 50

= 100°

Also, the total angle on the circumference of a circle is 360°. Circumference is the outer part of a circle.

Therefore;

arc RP + arc RQ + arc PQ = 360°

140 +100 + x = 360°

x = 360 -240

x = 120°

Therefore the value of arc PQ is 120°

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

Hii follow me

I will follow you back

Answer:

4.5

Step-by-step explanation: you divide 24 by what you do  to get 6 which is 4 then you use 4 to divide 18 which is 4.5 or 4 and a half. Have A Great Day!

Question 6

\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)

Question 7

\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)

The relationship between the distance that birds fly in relation to the time they do so, is positive.

There are about 3 outliers but for the most part, the relationship is positive.

The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.

There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.

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Answer: Its -12

Step-by-step explanation:

In Algebra, a constant is a number on its own.

We are given that the function is related by the following

Let us find the missing values of x and y.

1st value:

Substitute y = 1 and solve for x

So, x = 0

2nd value:

Substitute x = -1 and solve for y.

So, y = 0

3rd value:

Substitute x = 10 and solve for y.

So, y = 11

4th value:

Substitute y = 3 and solve for x.

Similarly, the rest of the values are calculated.

Answer:

Step-by-step explanation:

174/12= 14.5 hours of work to earn enough to buy the smartphone.

12x14.5 = 174

the answer could be 14.5 for the minimum amount of time needed but if it asks for full hours then 15 hours.