"Help with #3 please
(Simplify your answer.) (b) azo (Simplify your answer.) (c) S25 = (Simplify your answer.) 2. Find the sum of this arithmetic series. 6 Σ (7) - 2) j= 1 6 (7) - 2) j= 1 (Simplify your answer. Type an integer or a frantion)

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

\(\\ \tt\longmapsto 0.06(27.98)\)

\(\\ \tt\longmapsto 1.67\)

Total=

The individual purchased office supplies worth PHP 5,000 on credit from National Bookstore.

When someone makes a purchase on credit, they are essentially taking out a loan to buy the item(s) and agreeing to pay back the amount owed at a later date. In this case, the individual purchased office supplies worth PHP 5,000 on credit from National Bookstore. This means that the individual did not pay for the supplies at the time of purchase, but instead received the supplies and agreed to pay the store back at a later date. The terms of the credit agreement, including the interest rate and payment due dates, would have been outlined at the time of the purchase.

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The transaction includes debiting the office supplies expense account for $5,000 and crediting the accounts payable account for $5,000.

When a business purchases office supplies on credit from a vendor like National Bookstore, the accounting entry to record this transaction would typically include debiting the office supplies expense account and crediting the accounts payable account.

Debiting the office supplies expense account reflects the increase in expenses related to acquiring the supplies while crediting the accounts payable account represents the liability owed to National Bookstore. This entry accurately reflects the financial impact of the transaction and ensures proper recording of the purchase in the company's financial records.

Full question:

She purchased office supplies worth $5,000 credit from national bookstore. Identify the account treatment for the transaction.

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The total number of gold and blue squares are 18 and 13 respectively.

Here, we are given that Megan is making a quilt from squares of material.

The quilt has 9 rows and each row has 6 squares.

There are 4 corner squares in the quilt which will be white. Around 1 corner square there will be 3 squares that share a side with the white square.

Thus, there will be a total of 12 gold square around the 4 corner squares.

Further, there are two center squares in the middle row that are white.

Around these 2 center white squares there will be 6 squares that share a side with them. Hence, these 6 square will also be gold.

Therefore, the total number of gold squares will be-

6 + 12

= 18

Now, the white squares = 4 + 6 = 10

and gold squares = 18

and the total number of squares = 9 × 6 = 54

Thus, the number of remaining squares = 54 - 18 - 10

= 26

Out of these remaining 26 squares half will be blue and half pink.

Thus, the number of blue squares will be-

26/2

= 13

Hence, we find that the total number of gold and blue squares are 18 and 13 respectively.

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Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

Correlation analysis is meant to determine the strength of a linear

relationship between variables.

The complete question is as below:-

Which of the following statements is true of the correlation analysis? The null hypothesis for the Pearson correlation coefficient states that there is always a strong association between two variables. The larger the correlation coefficient, the weaker the association between two variables. The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero. The Pearson correlation coefficient measures the degree of linear association that ranges from 1.0 to 10.0. The Pearson correlation coefficient measures the degree of linear association between three variables.

Correlation analysis is a test to determine the presence and or amount of relationship that exists between variables.

During a hypothesis test aimed at determining the existence of a correlation between variables, the null and alternative hypotheses are as follows;

The null hypothesis, H₀: There are no relationships between the variables

H₀: r = 0

The alternative hypothesis, Hₐ: The variables have an association

Hₐ: r ≠ 0

Therefore, the true statement of the correlation analysis is; The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.

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a) cos  φ= -4/13`

b) cos φ  -2√13/13`c)

c) inverse tangent function will not give us the angle we are looking for because our angle is in the third quadrant

d) tanφ=32​ => φ ≈ -57.99°

e) coterminal angles to -57.99° in radians is:`(-319.93 + 360n)π/180`, where `n` is an integer.

a) The formula for the tangent of an angle in the third quadrant is, `tan(π + φ) = tan φ` and, hence, we have:`tan(π + φ) = 3/2`Using the fundamental identity for the tangent, we get:`tan(π + φ) = -tan φ``tan φ = -3/2`Then, using the Pythagorean identity `sin^2 φ + cos^2 φ = 1` to solve for `cos φ` in the third quadrant where `cos φ < 0`, we get:`cos φ = -√(1 - sin^2 φ) = -√(1 - (tan^2 φ)/(1 + tan^2 φ)) = -√(1 - (9/13)) = -4/13`b) Since `tan φ = 3/2`, we can construct a right triangle with legs of length `3` and `2` and hypotenuse of length `√(3^2 + 2^2) = √13`.Since the angle is in the third quadrant, the cosine of the angle is negative. Thus:`cos φ = -2/√13 = (-2/√13) * (√13/√13) = -2√13/13`c) The inverse tangent function is only able to give you the value of the angle in the first or fourth quadrant. Therefore, using the inverse tangent function will not give us the angle we are looking for because our angle is in the third quadrant.d) `tanφ=32​ => φ ≈ -57.99°`e) All coterminal angles to -57.99° in radians are given by:`θ = -57.99° + 360n, n ∈ ℤ`Thus, we can convert to radians using the formula `π/180°`:`θ = (-57.99° + 360n)π/180°`Simplifying:`θ = (-319.93 + 360n)π/180`Therefore, the expression for all coterminal angles to -57.99° in radians is:`(-319.93 + 360n)π/180`, where `n` is an integer.

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Answer:

Step-by-step explanation:

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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Answer:

Translation means shifting, so the figure is shifted up or down, to the left or right. When translating the figure changes location and coordinates but doesn't change its size or shape.

The length of the stick was 7.55 cm.

Given that,

initial speed of bug is given by, v=0.65 m/s

m refers to the mass of bug.

Mass of stick is given by, M= 10m

I refers to the moment of inertia of bug and stick together about the end of the stick.

ω refers to the angular velocity of the bug and stick immediately after collision.

L refers to length of stick

Stick can be considered rod.

Now, moment of inertia about end of a rod is given by = 1/3 ML²

From angular momentum conservation theory we can get,

total initial angular momentum = total final angular momentum

mvL = Iω

mvL = [mL² + 1/3 ML²] ω

mvL = [mL² + 1/3 (10m) L²] ω

0.65 L = 4.333 L²ω

L = 0.15/ω

ω = 0.15/L

Change in vertical position center of mass of rod is given by,

H = L/2 [1 - cos θ]

Change in vertical position of bug after reaching max height is given by,

h = L [1 - cos θ]

From energy conservation law we can conclude that,

Rotational kinetic energy immediately after collision = Potential energy of bug and stick system at max height .

(1/2) [mL² + 1/3 ML²] ω² = mgh + MgH

(1/2) [mL² + 1/3 (10m) L²] ω² = m(gh + 10gH)

2.167 L²ω² = g (h + 10H)

2.167 L² (0.15/L)² = g [L [1 - cos θ] + 5L [1 - cos θ]] (Substituting the relations from previous)

(2.167) (0.15)² = 6 (9.8) L (1 - cos 8.5)

L = 0.0755 m (Rounding off to nearest fourth decimal places)

L = 7.55 cm

Hence the length of the stick was 7.55 cm.

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The question is incomplete. The complete question will be -

We want to find the probability that the sample mean cholesterol value falls within certain ranges. Specifically, we want to find the probability that the sample mean cholesterol value is between 145 and 165 (part a) and between 140 and 170 (part b).

The probability that the sample mean cholesterol value is between 145 and 165 can be found using the central limit theorem (CLT). Since the sample size is large (n = 16), the sample mean cholesterol value will be approximately normally distributed, regardless of the underlying population distribution. We can assume that the sample mean cholesterol value follows a normal distribution with mean μ and standard deviation σ/sqrt(n), where μ is the population mean cholesterol value and σ is the population standard deviation.

Using this assumption, we can calculate the z-score for each end of the interval:

z1 = (145 - μ) / (σ / sqrt(n))

z2 = (165 - μ) / (σ / sqrt(n))

Then, we can use a standard normal distribution table or a calculator to find the probability that the sample mean cholesterol value falls between these z-scores:

P(145 < x^- < 165) = P(z1 < Z < z2)

where Z is a standard normal random variable.

Similarly, to find the probability that the sample mean cholesterol value is between 140 and 170 (part b), we can calculate the corresponding z-scores and use the same formula.

In both cases, the assumption of normality may not be appropriate if the population distribution is strongly skewed or has heavy tails. In such cases, non-parametric methods or bootstrapping may be more appropriate.

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Answer:

A polygon with one side could be a henagon or monogon

2 sides = digon or bigon

3. sides trigon or traingle ( equaliteral traingle , isosceles traingle Right traingle, acute traingle , obtuse traingle.

4 sides all the quadrilateral include square rectangle parallelogram, trapezium, rhombus , kite

5 sides = pentagon

6= hexagon

7 heptagon

8 octagon

9 nonagon

10 decagon

With the $10 gift card, Jose can buy at most 8 songs

x(the number of songs) less than or equal to 8

Answer:

With the $10 gift card, Jose can buy at most 8 songs

Step-by-step explanation:

trust the process

There are three ways to name an angle--by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

You can name a specific angle by using the vertex point, and three points on each of the angle's rays or by letter or number written. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size. Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

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The number of vertex can be calculated from the Hamilton circuits.

The value of N is 6

The variable N is used to always represent the number of vertices.

So, we represent the Hamilton circuits as:

\(H = 120\)

The value of N is calculated as follows:

\((N - 1)! = H\)

Substitute 120 for H

\((N - 1)! = 120\)

Express 120 as a factorial

\((N - 1)! = 5!\)

Cancel out factorials

\(N - 1 = 5\)

Add 1 to both sides

\(N = 1 + 5\)

\(N = 6\)

Hence, the value of N is 6

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Answer:11.9

Step-by-step explanation:

deltamath

Answer:

11.9

Step-by-step explanation:

(3x - 5y)(4x + 7y) =

3x × 4x + 3x × 7y - 5y × 4x - 5y × 7y =

12x² + 21xy - 20xy - 35y² =

12x² + xy - 35y²

Answer:

12x^2 + 1xy -35y^2

Step-by-step explanation:

12x^2 + 21xy -20xy -35y^2 becomes this simplified

The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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Answer:

-55/3

Step-by-step explanation:

6x+12=3x-43

Subtract 3x from both sides:

3x+12=-43

Subtract 12 from both sides:

3x=-55

Divide both sides by 3:

x=-55/3

Hope this helps!

Answer:

x = -18.33 or x = -55/3 (fraction form)

Step-by-step explanation:

first, you need to get x on one side,

6x + 12 = 3x - 43

-3x           -3x

3x + 12 = -43

then, get the x by itself.

3x + 12 = -43

      -12     -12

3x = -55

divide both sides by three

3x/3 = -55/3

x = -18.33

and you have your answer!

The equation of line with a slope of -5 and which passes through point (-2, 8) is 5x + y = -2.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point (-2,8)

First, we determine the y-intercept 'b'. Plug the coordinates and slope into the equation of line formula and solve for b.

y = mx + b

8 = (-5)(-2) + b

8 = 10 + b

b = 8 - 10

b = -2

Now, plug values of slope m and y-intercept b into y = mx + b to determine the equation of the line.

y = mx + b

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

y = -5x - 2

Convert to standard form; Ax + Bx = C

y = -5x - 2

Reorder the equation

5x + y = - 2

Therefore, the equation of the line is 5x + y = - 2.

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Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.

Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.

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The answer is x = 2.5

becuase the

Answer:

64

Step-by-step explanation:

(2x + 3y)^2 = 4

xy = -5

4x^2 + 9y^2

===========

(2x + 3y)^2 = 4                   [Start here]

4x^2 +12xy + 9y^2 = 4       [Expand]

4x^2 +12(-5) + 9y^2 = 4     [Substitute xy = -5]

4x^2 -60 + 9y^2 = 4            

4x^2 + 9y^2 = 4 + 60       [Rearrange]

4x^2 + 9y^2 = 64              [64 is the value of 4x^2 + 9y^2]

Answer:

The answer is -285

Step-by-step explanation:

Answer:

lets say you where multiplying by 2

2+ 2=4 so that would mean 2x2 is 4

and so on and so on

Step-by-step explanation:

ok so an equation like 2x3 is the same as 2+2+2.

The volume of the rectangular prism is 480 cubic inches.

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.

Let's label the dimensions of the rectangular prism as length (l), width (w), and height (h).

From the given information, we know that the cross section formed by the horizontal plane and the prism is a rectangle with dimensions 8 in. and 12 in. This means that the length and width of the rectangular prism are at least 12 in. and 8 in., respectively.

Similarly, the cross section formed by the vertical plane and the prism is a rectangle with dimensions 5 in. and 8 in. This means that the height and width of the rectangular prism are at least 5 in. and 8 in., respectively.

Therefore, the faces of the rectangular prism are:

A face with dimensions l x w = 12 in. x 8 in.

A face with dimensions l x h = 12 in. x 5 in.

A face with dimensions w x h = 8 in. x 5 in.

To find the volume of the rectangular prism, we can use the formula:

Volume = length x width x height

Since we don't know the exact dimensions of the rectangular prism, we can use the minimum dimensions we found earlier. Therefore, the volume of the rectangular prism is:

Volume = 12 in. x 8 in. x 5 in. = 480 cubic inches

So the volume of the rectangular prism is 480 cubic inches.

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Answer:

9.24 m

Step-by-step explanation:

Dimensions of the scale model:

Dimensions of the real bus:

The ratio is:

Then:

The length of the bus is 9.24 m