Not the best at this! Can someone please help me ?!

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

180

Step-by-step explanation:

The definition of angles that are supplementary is that their measures add to 180°.

If \(f(x+1) = x^2 - 1\), then

\(f(x) = f((x - 1) + 1) = (x - 1)^2 - 1\)

Similarly,

\(g(x + 1) = x^2 + 1 \implies g(x) = g((x-1) + 1) = (x-1)^2 + 1\).

Then

\(f(x) + g(x) = \bigg((x-1)^2 - 1\bigg) + \bigg((x-1)^2 + 1\bigg) = \boxed{2(x-1)^2}\)

Answer:

The answer for question one is 162 cm

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

Answer:

create a problem that can be repersented by the equation

Step-by-step explanation:

The ogive is a line graph that plots the cumulative relative frequency distribution.

An ogive, also known as a cumulative frequency polygon, is a line graph that shows the cumulative frequency distribution of a data set. The cumulative frequency is calculated by adding up the frequencies of each value up to a certain point in the data set.

The cumulative relative frequency is calculated by dividing the cumulative frequency by the total number of observations in the data set. The ogive plots these cumulative relative frequencies against the corresponding values in the data set, usually on the x-axis.

By plotting the cumulative relative frequencies, the ogive shows how the data is distributed over the entire range of values. It can be used to identify patterns in the data, such as whether it is skewed or symmetrical. It is also useful for determining percentiles, as the percentile for a given value can be read directly from the ogive.

Overall, the ogive is a helpful tool for summarizing and visualizing the distribution of a data set, particularly when dealing with large data sets or complex distributions.

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The value of the expression given as 12x^2(y^8)/3xy^7 is 4xy

From the question, the expression is given as

12x^2(y^8)/3xy^7

Start by removing the bracket in the above expression

So, we have the following equation

12x^2(y^8)/3xy^7 = 12x^2y^8/3xy^7

Divide 12 by 3 in the above equation

So, we have the following equation

12x^2(y^8)/3xy^7 = 4x^2y^8/xy^7

Divide x^2 by x

So, we have the following equation

12x^2(y^8)/3xy^7 = 4xy^8/y^7

Divide y^8 by y^7

So, we have the following equation

12x^2(y^8)/3xy^7 = 4xy

Hence, the expression is 4xy

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Answer:

0.23÷0.4⋅60+3.6÷1.2= 37.5

Answer:

Please refer to the attached image for a possible graph of given equation.

Step-by-step explanation:

Given the equation:

\(g(x) = x^2 + d\)

Let us write the equation as:

\(y = x^2 + d\) so that we can plot it on xy axis.

The highest power of x is 2.

The given equation resembles with the equation of a parabola.

The vertex form of a parabola is given as:

\(y = a(x - h)^2 + k\)

Here (h,k) is the vertex of parabola.

Vertex of the parabola is the point on the axis of symmetry and is the highest or the lowest point on parabola.

Now, let us compare the given equation of parabola with the standard vertex form of parabola. We get the following values:

a = 1 > 0 hence, parabola will open upwards.

h = 0

k = d

So, the vertex is at O (0,d). It means vertex will be on the y axis.

Now, we are given that d < 0 that means the vertex will be on negative y axis.

Now, let us suppose d = -8, the graph will be as attached in the answer area. Please have a look.

Answer:

yo ma

Step-by-step explanation:

because

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

let's say that  A(-2,-5) to B(4,1) gets partitioned by point C into a ratio of 1 to 2

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-2,-5)\qquad B(4,1)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-2,-5)=1(4,1)\)

\((\stackrel{x}{-4}~~,~~ \stackrel{y}{-10})=(\stackrel{x}{4}~~,~~ \stackrel{y}{1}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-4 +4}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-10 +1}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ 0 }{ 3 }~~,~~\cfrac{ -9}{ 3 } \right)\implies C=(0~~,~-3)\)

Answer:

angle one

Step-by-step explanation:

The particular solution of the differential equation that satisfies the initial condition f(0) = 3 is f(x) = 3x^2 + 3.

To solve the differential equation f'(x) = 6x, we can integrate both sides with respect to x:

∫f'(x) dx = ∫6x dx

f(x) = 3x^2 + C

where C is the constant of integration.

To find the particular solution that satisfies the initial condition f(0) = 3, we can substitute x = 0 and f(x) = 3 into the equation above:

3 = 3(0)^2 + C

C = 3

Therefore, the particular solution of the differential equation that satisfies the initial condition f(0) = 3 is:

f(x) = 3x^2 + 3.

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3. If triangle ABC was reflected over the x-axis, what would be the coordinate of B'?

When you reflect over the x-axis, you will flip the sign for the y-coordinate. If you reflect over the y-axis, you will flip the sign for the x-coordinate.

In this case, you are reflecting point B (4 , 3) over the x-axis, which will flip the x-coordinate sign to B' (-4 , 3)

D) (-4 , 3)

2. Rotate this figure 270 degrees clockwise

Clock-wise mean you are rotating turning right. 180° is half way, and so it will be D), as 180° is the 3rd option, and then a extra 90° will become D).

Answer:

(4, -3)

last option

Step-by-step explanation:

If a point is reflected over the x-axis then (x, y) → (x, -y)

B = (4, 3)

Therefore, B' = (4, -3)

The original arrowhead is pointing south (down).

If the arrowhead is rotated 270° clockwise, then it will point to the east (right).  So the solution is the last option.

- 56 is  the missing numbers in this sequence.

What do math sequences mean?

Sequences are ordered sequences of numbers, also referred to as "terms," such as 2,5,8. Certain sequences adhere to a particular pattern that can be exploited to make them infinitely long.

                           For instance, 2,5,8 conforms to the pattern "add 3," thus we can now proceed with the sequence. There are formulas for sequences that show us where to look for each given phrase.

-44, -48, -52, -60,

difference between every number is -4

then the missing number is 4 term

  - 56

-44, -48, -52, -56 , -60 is the sequence.

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By using testing of hypothesis, it can be concluded that

The test which is used to determine if both machines produce the same fraction of defective parts is 2 sample proportion z test

What is testing of hypothesis?

Suppose, there is a data at hand and there is a hypothesis which is to be tested.

Testing of hypothesis is used to decide whether the hypothesis can be tested using the data at hand.

Here, it is tested if both the machines produce the same fraction defective parts

So, there is a comparision between two sample proportion and the test is done at the same time.

So the test used here is the 2 sample proportion z test

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Answer:

s=6

Step-by-step explanation:

first you distribute the 8

8s+24=72

Then subtract 24 from both sides

8s=48

then divide both sides by 8 to get

s=6

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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Answer:

21%

Step-by-step explanation:

The sum of the 13% who play football and the 8% who play golf would be 21%

.13 + .08 = .21

Answer:

y=x=70

hope this helps

Step-by-step explanation:

In parallelogram the adjacent angles are supplementary

∠TBE+y=180

110+y=180

y=70

Also, opposite angles of a parallelogram are equal.

z=∠TSE=110

y=x=70

Answer:

D. Patel found the incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

The dividend is  the divisor is  Divide the dividend by the divisor (division by fraction means multiplication by its reciprocal):

so the quotient is 48, not

To check the answer, Patel has to multiply the quotient by the divisor to get the dividend. Check answer:

Hence, Patel found the incorrect quotient and checked his work using multiplication incorrectly.

The price of a stock share has decreased by 15% and suddenly increased by 5%.

The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.

The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).

When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.

100 - 15% = 85% = 0.85

100 + 5% = 105% = 1.05

original selling price = d

selling price at a later date = 1.05(0.85d)

0.85d means that the original price was discounted by 15%

1.05 means that the price increased by 5%

Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.

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The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

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The vector product (cross product) of M and N is -10j + 155k - 362j - 6k + 24i.

The vector product (cross product) of two vectors M and N is calculated using the determinant method. The cross product of M and N is denoted as M x N. To calculate M x N, we can use the following formula,

M x N = (2 * (-1) - (-4) * (-6))i + ((-4) * 61 - 31 * (-1))j + (31 * (-6) - 2 * 61)k

Simplifying the equation, we get,

M x N = -10j + 155k - 362j - 6k + 24i

Therefore, the vector product M x N is -10j + 155k - 362j - 6k + 24i.

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DE is approximately 30.3 inches to the nearest tenth of an inch.

The Law of Sines is a trigonometric formula used to find unknown sides and angles in any triangle, whether it is acute, obtuse, or right-angled. It relates the lengths of the sides of a triangle to the sine of the opposite angle.

The formula for the Law of Sines is:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the opposite angles.

We can use the Law of Sines to solve for DE.

The Law of Sines states that for any triangle ABC,

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the side lengths opposite the angles A, B, and C, respectively.

In this case, we know that:

m∠D = 42°

m∠E = 63°

EF = 24 in.

Let x be the length of DE.

Then, applying the Law of Sines to ∆DEF, we have:

x/sin(63°) = 24/sin(42°)

Solving for x, we get:

x = (24*sin(63°))/sin(42°) ≈ 30.3

Therefore, DE is approximately 30.3 inches to the nearest tenth of an inch.

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Answer:

1/100th of a dollar , the same value as a penny

Answer:

(0,6) and (3,1)

Step-by-step explanation:

The equation is already in slope intercept form.

y = mx + b

Since the y-intercept is '6', the first point would be (0, 6).

-----------------------------------

We can move three units to the right and 5 units down to get our second point, (3,1).

Note that slope is rise over run.

(0 + 3, 6 - 5) - > (3, 1).

The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.

Hope this helps.

The correct option is c. no, because its determinant is zero.

A square matrix is said to be invertible when and only when the determinant is not exactly zero.

A matrix is an rectangular array or table that contains numbers, signs, or expressions structured in rows and columns and is used to depict a mathematical object or a property of one.

The matrix is given as,

\(A=\left[\begin{array}{cc}6 & -4 \\-9 & 6\end{array}\right]\)

Calculate the determinant of the matrix.

D = ( 6 x 6 ) - ( -9 x -4 )

D = ( 36 - 36 )

D = 0

The matrix's determinant is zero in this case. As a result, the matrix cannot be inverted.

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The complete question is-

Select the correct answer.

justify whether matrix a is invertible.

\(A=\left[\begin{array}{cc}6 & -4 \\-9 & 6\end{array}\right]\)

a. yes, because its determinant is not equal to zero.

b. yes, because its determinant is greater than zero.

c. no, because its determinant is zero.

d. no, because its determinant is less than zero. e. no, because its determinant is not equal to zero.

a) The process of making trapezoid is defined

b) The trapezoid is plotted on the grid paper and it is illustrated below.

c) The approximate area of the trapezoid is 10cm

First, let's define what a trapezoid is. A trapezoid is a quadrilateral with one pair of parallel sides. The other two sides may or may not be parallel. The parallel sides are called the bases of the trapezoid, and the distance between them is called the height.

To make a trapezoid with perimeter 20 cm using a string, pushpins, a ruler, and grid paper, you will need to follow these steps:

Cut the string into a length of 20 cm, which is the perimeter of the trapezoid.

Take one of the pushpins and insert it into the grid paper to mark one corner of the trapezoid.

Tie one end of the string to the pushpin and measure out the length of one of the non-parallel sides of the trapezoid using the ruler. Place the second pushpin at this point on the grid paper.

Move the string to the other pushpin, and measure out the length of the other non-parallel side of the trapezoid using the ruler. Place the third pushpin at this point on the grid paper.

Finally, move the string to the third pushpin and measure out the length of the other base of the trapezoid using the ruler. Place the fourth pushpin at this point on the grid paper.

Remove the string and connect the four pushpins to form the trapezoid.

Now, to draw the trapezoid on the grid paper, you can simply connect the four pushpins using a ruler to create the sides of the trapezoid. Make sure to label the parallel sides as the bases and the distance between them as the height.

To find the approximate area of the trapezoid, you can use the formula for the area of a trapezoid, which is

=> (1/2) × (sum of the bases) × (height).

In this case, the sum of the bases is the perimeter of the trapezoid divided by 2, which is 10 cm.

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Answer:

Step-by-step explanation:

$4.7 billion ..