9. A counting number is totally odd if all its digits are odd and their sum is odd. How many totally odd counting numbers less than 1000 are there?

Answer:

A nonlinear line is a line that is not straight. So the answers for these question include B and D

B and D  are not straight lines and they are increasing

Step-by-step explanation:

Hope this helps! =D

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According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

The inequality that matches this graph is option B, "x ≥ -5". The graph represents a solid dot at x = -5 and a shaded region to the right of x = -5, including x = -5. This means that x can take on any value greater than or equal to -5, so the inequality can be written as x ≥ -5.

Therefore, According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

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Hence,Volume measurement do you need to calculate in order to determine the amount of space each structure encloses .

We   take   a   measurement  of  a   shape  of  volume    arrangement   to   discover   how   much   space  are  contain .     The    volume   of  a  body  is  the   amount  of   three -   dimensional   space   that   it  surrounded and   it   can   be  determine  by  multiplying  the  shape  of    length , breath , and  width  or  height.

we  can  use  the  equation are  Volume  =  Length  x  Width  x  Height  to  compute  the  volume  of  simple   structure  like  as  rectangular  prisms.  It  may  be  necessary  to  divide  more  raised  structures into  simply  shapes,  determine  the  volume  of  each  shape,  and  then  add  the  volumes  of  each  shape to  determine  the  everywhere  volume  of  the  construction.

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Answer:

2011: 0.3×750= 225

therefore, 750-225=525

2012: 0.15 × 525= 78.75

therefore, 525 + 78.75= 603. 75

bag of coffee: mass (kg)

1: 55

603.75: x

x= 55 × 603.75

=33206.25 Kg

33206.25÷1000= 332.0625

tonne: shillings

1:7900

332.0625: x

hence, x= 2623293.75 shillings

8690× 332.0625= 2885623. 125 shillings

Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.

They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.

The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).

So, the sales revenue in the given situation would be:

According to the provided data, the sales revenue will be determined as follows:

= Value of note × PVF of receivable

= $528000 × 0.8638

= $456108

Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

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Correct question:

On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?

The area of the composite figure is equal to 278 square inches

The composite figure can be observed to be made up of two triangles, a rectangle and a parallelogram, so we shall calculate for the area and sum the results to get the total area of the composite figure as follows:

area of top triangle = 1/2 × 8 in × 11 in = 44 in²

area of the side triangle = 1/2 × 9 in × 4 in = 36 in²

area of the rectangle = 11 in × 9 in = 99 in²

area of the parallelogram = 11 in × 9 in = 99 in²

total area of the composite figure = 44 in² + 36 in² + 99 in² + 99 in²

total area of the composite figure = 278 in²

Therefore, the area of the composite figure is equal to 278 square inches

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

To create a consistent and dependent system with the equation x - y = -2, we need to find another equation that has the same solution as this equation.

We can manipulate the equation x - y = -2 to get y = x + 2.

Now, we can substitute y = x + 2 into each of the given equations to see which one creates a dependent system:

6x + 2y = 15 becomes 6x + 2(x + 2) = 15, which simplifies to 8x = 11. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

-3x + 3y = 6 becomes -3x + 3(x + 2) = 6, which simplifies to 0 = 0. This equation has infinitely many solutions and pairs with x - y = -2 to create a dependent system.

-8x - 3y = 2 becomes -8x - 3(x + 2) = 2, which simplifies to -11x = -8. This equation has a unique solution, so it does not pair with x - y = -2 to create a dependent system.

4x - 4y = 6 becomes 4x - 4(x + 2) = 6, which simplifies to -4 = 6. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

Therefore, the equation -3x + 3y = 6 can pair with x - y = -2 to create a consistent and dependent system.

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Answer:

Step-by-step explanation:

The area in square centimeters, of the trapezoid below is equal to 84.4 cm².

In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):

Area of trapezoid, A = ½ × (a + b) × h

Where:

a and b represent the base areas of a trapezoid.

h represent the height of a trapezoid.

By substituting the given side lengths into the formula for the area of a trapezoid, we have the following:

Area of trapezoid, A = ½ × (7.9 + 13.2) × 8

Area of trapezoid, A = 84.4 cm².

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

(-8.89, -26.69)

Step-by-step explanation:

To find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1), we can use the following steps:

[tex]\sqrt{(2 - (-|a|))^2 + (1 - (-3|a|))^2} = 5\\\sqrt{(2 + |a|)^2 + (1 + 3|a|)^2} = 5[/tex]

[tex]a^2 + 8a - 8 = 0[/tex]

[tex]a = \frac{-8 ±\sqrt{8^2 - 4(1)(-8)}} {(2(1))}\\a = \frac{-8 ± \sqrt{96}}{ 2}\\a = -4 ± 2\sqrt{6}[/tex]

[tex]a = -4 - 2\sqrt(6)[/tex]

(x, y) =[tex](-|-4 - 2\sqrt(6)|, -3|-4 - 2\sqrt(6)|)[/tex]

(x, y) ≈ (-8.89, -26.69)

Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1) is approximately (-8.89, -26.69).

The lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

Let's call the length of the median from vertex J to the opposite side LM, and the length of the median from vertex L to the opposite side JN. We can use the fact that the centroid divides each median into two parts, with the ratio of the longer part to the shorter part being 2:1.

First, we can find LM:

LM = 2 x QM = 2 x 10 = 20

Next, we can find JQ:

JQ = 2/3 x JN = 2/3 x 39 = 26

Finally, we can find KQ:

To find KQ, we need to use the fact that the three medians of a triangle divide each other into six smaller triangles with equal areas. Let's call the length of the third median KX. We know that the area of triangle JLK is:

1/2 x LM x JN = 1/2 x 20 x 39 = 390

Similarly, the areas of triangles JNQ, LMQ, JKP, LKP, and JLP are all equal to 390. Let's call this common area A. Then we have:

1/2 x KX x LM = A

1/2 x KX x JN = A

Dividing these two equations, we get:

LM / JN = KX / LM

Substituting the values we know, we get:

20 / 39 = KX / 20

Solving for KX, we get:

KX = 20 x (20 / 39) = 400 / 39

Now we can find KQ:

KQ = 2/3 x KX = 2/3 x (400 / 39) = 800 / 117

Therefore, the lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

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The experimental probability of tossing a 3 is 22% ( option D).

Experimental probability, which is also known as Empirical probability, is based on actual experiments and adequate recordings of the occurring of events. An experiment can be repeated a fixed number of times and each repetition is known as a trial. The formula for the experimental probability is defined by;

Probability of an Event P(E) = Number of times an event occurs / Total number of events

From the table it is visible that the occurrence of tossing 3 is 11 times.

So by the definition of experimental probability the possibility is 11/50

As the table given is the result for tossing a number cube 50 times.

In 50 times the possibility is 11

In 1 time the possibility is 11/50

In 100 times the possibility is (11×100)/50

                                              = 22

Hence, the experimental probability of tossing a 3 is 22%.

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The value of the annuity after 9 years is approximately $1,044.56. The interest earned on the annuity after 9 years is approximately $244.56.

A financial contract known as an annuity offers a series of recurring payments over a predetermined length of time. A monthly, quarterly, or annual payment schedule is available when buying an annuity from an insurance provider. The payments are made until the annuitant's death or for a predetermined amount of time.

Deferred annuities and immediate annuities are the two categories under which annuities fall. Deferred annuities are a particular kind of annuity where the payments are postponed for a predetermined amount of time, typically several years. On the other hand, an instant annuity starts paying out as soon as the annuity is bought.

The value of annuity is given by the formula:

[tex]A = P * ((1 + r)^n - 1) / r[/tex]

Substituting the given values we have:

[tex]A = $100 * ((1 + 0.04)^9 - 1) / 0.04\\A = $100 * (1.04^9 - 1) / 0.04[/tex]

A ≈ $1,044.56

Hence, the value of the annuity after 9 years is approximately $1,044.56.

Now, the interest is givn as:

Interest = A - (P * n)

Substituting the values we have:

Interest = $1,044.56 - ($100 * 9)

Interest ≈ $244.56

Hence, the interest earned on the annuity after 9 years is approximately $244.56.

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Answer:

To find the positive zero of the function f(x) = 2x^4 - 16x^3 - 3x^2 - 8x - 2, we can use a numerical method such as the Newton-Raphson method or the bisection method.

Let's use the bisection method to approximate the positive zero of f(x).

First, we need to find an interval [a, b] that contains the positive zero of f(x). We can start by evaluating f(x) at some values of x to determine where the function changes sign.

For example, evaluating f(0) and f(1) gives:

f(0) = 2(0)^4 - 16(0)^3 - 3(0)^2 - 8(0) - 2 = -2

f(1) = 2(1)^4 - 16(1)^3 - 3(1)^2 - 8(1) - 2 = -27

Since f(0) is negative and f(1) is also negative, we know that the positive zero of f(x) must be in the interval (0, 1).

Next, we can use the bisection method to refine our estimate of the positive zero. We start by finding the midpoint of the interval [a, b]:

c = (a + b) / 2

If f(c) is positive, then the positive zero of f(x) must be in the interval [a, c]. If f(c) is negative, then the positive zero of f(x) must be in the interval [c, b]. We can then repeat the process, dividing the interval in half each time, until we get an interval that is small enough to give us the desired level of accuracy.

Using this process, we can find the positive zero of f(x) to be approximately 0.818, rounded to three decimal places.

Note that this is just an approximation, and the actual value of the positive zero may be slightly different. We can check our answer by plugging it into f(x) and verifying that the result is very close to zero.

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:

the first one

Step-by-step explanation:

you move N to the left of the equation,

and then K to the right of the equation.

voila.

Answer:

x = -14 and x = 12

Step-by-step explanation:

Let x be the width of the rectangular room in feet. Then, according to the problem, the length of the room is 2 feet longer than the width, or x + 2 feet.

The area of a rectangle is given by the formula A = length × width, so we have:

A = (x + 2) × x = x^2 + 2x

We are also given that the area of the room is 168 square feet, so we set A = 168 and get:

x^2 + 2x = 168

This is a quadratic equation in standard form, where 1x^2 + 2x - 168 = 0. We can solve this equation by factoring or using the quadratic formula. This will give us the value(s) of x, which represents the width of the room. Once we have the width, we can find the length by adding 2 feet to it.

And x is :  -14 and 12

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

We need to convert both measurements to the same unit in order to compare them. Let's convert 6 1/3 feet to inches:

1 foot = 12 inches

6 feet = 6 x 12 = 72 inches

1/3 foot = (1/3) x 12 = 4 inches

6 1/3 feet = 72 + 4 + (1/3) x 12 = 76 inches

Therefore, the plumber has 76 inches of piping.

Since the plumber needs 75 inches of piping, we can see that she does have enough piping.

Step-by-step explanation:

according to the given statement both are having correct interpretation with or without decimal.

Both integer as well as non-integer amounts are frequently expressed using the decimal number system. The Hindu-Arabic number system has been expanded to include non-integer values. Decimal notation is the method used to represent numbers using the system of decimals. Either a whole number as well as a fractional number can be found in a decimal number. Decimal numbers that fall between integers are used to express complete and partially completed amounts numerically. A decimal point separates the whole number from the fractional portion of a decimal number. The little dot which appears among whole numbers as well as fractions is known as the decimal point.

given,

Joshua could be correct because the picture shows four full squares and two tenths of another square. This can be written as the decimal 4.2, where the 4 represents the four full squares and the 0.2 represents the two tenths of a square.

Makayla could also be correct because the picture can be interpreted as representing 42, but not as a decimal. Rather, each square could represent a value of 10, and the two smaller squares could represent a value of 1 each. This gives a total value of 42, as Makayla suggests.

So, both interpretations of the picture could be correct, depending on whether one is using a decimal or a whole-number system.

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Answer:

6 and 2/3

Step-by-step explanation:

4 divided by 3/5 is the same as 4 divided by 0.6

4 divided by 0.6 equals 6.6 repeating...

or

6 and 2/3

The equation that helps her is $65 + 5m = $500. D'angela must save $87 each month for the next 5 months to reach her goal of having $500 in her savings account.

A group of equations that must be solved simultaneously is referred to as a system of equations. The variables in the equations are interconnected, and the set of values for the variables that satisfy all of the system's equations is the solution. Depending on whether the equations feature linear or nonlinear interactions between the variables, a system of equations can be either linear or nonlinear. A vast range of phenomena, including physical systems, economic systems, and social systems, are modelled using systems of equations, which appear in many branches of mathematics and science.

Let us suppose the amount of money saved by her = m.

The, for 5 months the amount saved is = 5m.

Given an initial deposit of $65, we have the equation of total amount as:

T = $65 + 5m

Now, she needs to save $500 thus,

$65 + 5m = $500

5m = $500 - $65

5m = $435

m = $87

Hence, D'angela must save $87 each month for the next 5 months to reach her goal of having $500 in her savings account.

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The complete question is:

A feature of function gif g(x) = f(x-4) is D. horizontal asymptote of y = 4

A horizontal asymptote is a straight line on a graph that a function approaches but never touches as the independent variable (usually denoted as x) increases or decreases without bound. In other words, the function gets closer and closer to the horizontal line as x becomes very large or very small, but it never actually touches or crosses it.

A function can have at most two horizontal asymptotes - one on the left side of the graph and one on the right side. The horizontal asymptotes of a function are determined by the highest degree of the polynomial in the numerator and the denominator of the function.

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Answer: the answer is

Step-by-step explanation:

eggs

Answer:

Step-by-step explanation:

64 - 16= 48

[tex]\sqrt{48}[/tex]

[tex]\sqrt{3*16}[/tex]

4[tex]\sqrt{3}[/tex]

Using simple mathematical operations we can conclude that Adriel will earn $2,10,000 after 29 years working at the job.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

The steps that we can memorize using PEMDAS include parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right), and so on.

So, we know that:

Adriel will earn $65,000 this year.

She will get a raise of $5,000 each year.

Then, her salary after 29 years would be:

= (5000 * 29) + 65,000

= 1,45,000 + 65,000

= $2,10,000

Therefore, using simple mathematical operations we can conclude that Adriel will earn $2,10,000 after 29 years working at the job.

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Option 2 is the correct answer, that is, the equation of the given circle is (x+3)² + (y - 6)² = 4 with center at (-3,6) and radius 2.

The distance formula is a mathematical formula used to determine the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem as:

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

where  (x₁, y₁) and (x₂, y₂) are the x and y coordinates of the said two points. This formula works for any two points in a two-dimensional space with a Cartesian coordinate system.

To answer this we need to know the equation of a circle.

Let (a,b) be the center of a circle with radius r, then the equation of the circle can be written as:

(x - a)² + (y - b)² = r²

We see that from the given graph center of the circle is the point (-3,6) and radius will be 2.

We can now substitute these information in the circle equation,

(x - -3)² + (y - 6)² = 2²

(x+3)² + (y - 6)² = 4

That is the equation of the given circle is (x+3)² + (y - 6)² = 4.

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