how many 23 digit numbers consisting of the digits, 1,2,3,7,8,9 are divisble by 3? (hint: consider the divisibility test for 3)

The required position of the -2.25 lies above the -2.25 on the vertical number line.

Given that,
If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line is to be determined.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Since -2.5 is 0.25 lower than -2.25, and also the -2.25 is greater than -2.5.
So on the vertical number line, -2.25 lies 0.25 units above the number -2.5.

Thus, the required position of the -2.25 lies above the -2.25 on the vertical number line.

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Answer:

On the vertical number line, -2.5 is located below -2.25.

Step-by-step explanation:

edmentum answer. have a good day

Answer:

y -5×8=

3-40

37

setahu saya

Step-by-step explanation:

I hope you

i'm sorry ya kalo jawaban nya salah

Answer:

NUMBER $450

Step-by-step explanation:

HOPE IT'S HELP

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

The slope of the linear function is -3, and the y-intercept = 9. Option B is the correct answer.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

Given that,

(x1, y1) = (-4, 21)

(x2, y2) = (-2, 15)

The slope is given as:

m = (y2 - y1) / (x2 - x1)

m = (15 - 21) / (-2 + 4)

m = -6 / 2

m = -3

The slope of the linear function is -3.

The y-intercept of the function is determined when the value of x = 0.

The value of y when x = 0 from the given table is 9.

Hence, the slope of the linear function is -3, and the y-intercept = 9. Option B is the correct answer.

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

Area of his yard = 19680ft²

Fertilizer needed = 590.4 ounces

Step-by-step explanation:

Step 1 Find the area of his lawn

The question states that his lawn is a rectangle that measures 240 feet by 82 feet

To find the area of a rectangle we simply multiply the side lengths

Hence, area of his yard = 240 * 82 = 19680ft²

Step 2 find amount of fertilizer needed.

The question states that .03 ounces is used per square foot.

So to find the amount of fertilizer needed simply multiply total area by amount used per square foot.

19680 * .03 = 590.4

So we can conclude that John will need 590.4 ounces of fertilizer

Answer:

I think the answer is c -2

Step-by-step explanation:

but don't quote me on that and if it's wrong i truly am sorry

Answer:

Step-by-step explanation:

The correct answer is D. 5pi/3

The correct option is D

The required solution is x= 5π/3

Since,

sin(x+ startfraction pi over 2 endfraction) = 1/2

Thus,

cos x= 1/2

cos x = cosπ/3 or cos (2π-π/3)

cos x= cos 5π/3, since x∈ [3π/2, 2π]

The question is a little incorrect, the correct question is

Solve: sin (x + StartFraction pi Over 2 EndFraction) = one-half for left-bracket StartFraction 3 pi Over 2 EndFraction, 2 pi right-bracket.

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Answer:

B. 4/9

Step-by-step explanation:

We can simplify the given expression by finding a common denominator for 18 and 12. The least common multiple of 18 and 12 is 36.

Multiplying the first fraction 5/18 by 2/2 (which equals 1) to get a denominator of 36:

5/18 = 5/18 x 2/2 = 10/36

Multiplying the second fraction 2/12 by 3/3 (which equals 1) to get a denominator of 36:

2/12 = 2/12 x 3/3 = 6/36

Now we can add the two fractions with the same denominator:

10/36 + 6/36 = 16/36

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 4:

16/36 = 4/9

Therefore, the solution is B) 4/9.

Answer:

the answer for the question is b) 4/9

Answer:

50 · (2 x 10^6) = 1 × 10^8

Step-by-step explanation:

In scientific notation a large number is converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some power. Very small numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power.

The inverse of a square root function looks like a half parabola which resembles the shape same as that of a quadratic function graph but we can not be certain about it.

Square root function graphs are usually curved. The curve above is, in reality, half of a parabola that is laying on its side. It represents half of the parabola that would result from graphing the equation y² = x.

f(x) = ax² + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

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Answer:

a = 18

Step-by-step explanation:

The sum of the angles of a triangle is 180

63+99+a = 180

Combine like terms

162 +a = 180

Subtract 162 from each side

162 -162+a = 180-162

a = 18

Answer: 80 trees

Step-by-step explanation:

YIELD = (NUMBER OF TREES)*(NUMBER OF ORANGES PER TREE)

Let's assume NUMBER OF TREES = 60 + x, where x is the number of additional trees above 60

The NUMBER OF ORANGES PER TREE will = (400-4x).  Hence:

YIELD = (60+x)*(400-4x) = 24000-240x+400x-4x2 = -4x2 + 160x + 24,000

To find the maximum YIELD, take the derivative of YIELD wrt x, set it to zero, and solve for x:

d(YIELD)/dx = -8x + 160

0 = -8x +160

8x = 160

x = 20

The grower should grow 60 + 20 = 80 trees to maximize yield.

Answer: 80 trees

Step-by-step explanation: just bc it is

Answer:

The answer is

(x-5)(x+5)

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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Answer:

The Coombs test checks your blood for antibodies that attack red blood cells. It can help prevent and diagnose problems.

ummmm

also what cu.ms out of a co.ck

lm.ao

Step-by-step explanation:

factor out x because that variable is common in all 3 terms

x (x2 - x - 12)

now you can factor

x (x-4) (x+3)

when you use FOIL you will see you arrive at the original answer.

so yes it is a factor

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

Thus, width is 6 and length is 25.

Step-by-step explanation:

Let us assume the width is x, then, the length is (4x+1).

Therefore, 2x + 2(4x+1) = 62

Or, 2x + 8x + 2 =62

Or, 10x = 60

Or, x = 6

Answer:

27 units.

Step-by-step explanation:

The perimeter is equal to 2 x length + 2 x width.

If the width is 4 then:

62 = 2 x length + 2 x 4

62 = 2 x length + 8

Then, we can subtract 8 from both sides.

54 = 2 x length

Next, divide both sides by 2

27 = length

so,

The length is 27 units.

The quotient of 25 divided by 25,704 is approximately 0.00097 (rounded to five decimal places).

When splitting huge numbers, the task is divided into several sequential steps using the long division approach. The dividend is divided by the divisor, just like in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

The long division for 25 divided by 25,704 is shown below:

code :

0.00097

-------

25704 | 25.00000

      0

      --

     250

     257

     ---

      -7

As a result, the result of 25 divided by 25,704 is almost 0.00097. (rounded to five decimal places).

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The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

\(\rm Hypotenuse^2 = Perpendicular^2 + Base^2\)

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

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The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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The factored polynomials are given as follows:

1. x² + 11x + 30 = (x + 6)(x + 5).

2. x² + 8x + 7 = (x + 7)(x + 1).

3. a² + 20a + 36 = (a + 18)(a + 2).

4. x² + 16x + 60 = (x + 10)(x + 6).

5. n² + 14n + 45 = (n + 5)(n + 9).

6. x² + 12x + 32 = (x + 8)(x + 4).

7. x² - 6x + 8 = (x - 4)(x - 2).

8. c² - 10c + 16 = (c - 8)(c - 2).

9. x² - 20x + 36 = (x - 18)(x - 2).

10. x² - 7x + 10 = (x - 5)(x - 2).

11. x² - 9x + 8 = (x - 1)(x - 8).

12. x² - 13x + 40 = (x - 8)(x - 5).

13. x² + 37x + 36 = (x + 1)(x + 36).

14. x² + 12x + 36 = (x + 6)².

15. x² + 13x + 36 = (x + 9)(x + 4).

16. x² - 25x + 100 = (x - 20)(x - 5).

17. x² + 30x + 200 = (x + 20)(x + 10).

18. m² + 12m + 20 = (m + 10)(m + 2).

All the 18 quadratic polynomials are factored using the same procedure, obtaining it's roots, and then writing the polynomial as the product of the linear factors.

For item 1, the function is given as follows:

x² + 11x + 30.

Then the coefficients of the quadratic function are:

a = 1, b = 11, c = 30.

The discriminant is of:

D = 11² - 4 x 1 x 30 = 1.

The roots are given as follows:

Hence the factored polynomial, considering the product of the linear factors, is given as follows:

(x - 5)(x - 6).

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Answer:

30% profit

Step-by-step explanation:

The amount by which the shopkeeper reduced the advertised selling price = 20%

The resulting profit over the cost price = 4%

Let x represent the initial advertised selling price, and let y represent the new selling price, and let c represent the cost price, we have;

x - 20% of x = y

x - x × 20/100 = y

0.8·x = y

y = c + 4% of c = 1.04·c

∴ 0.8·x = 1.04·c

x = 1.04·c/0.8 = 1.3·c

x = 1.3·c = c + 0.3·c = c + 30% of c

x = c + 30% of c

From which we have that the initial advertised selling price, x = The cost price + 30% of the  cost price

Therefore, the initial advertised selling price = The cost price + 30%profit on   cost price.

The shopkeeper would have made 30% profit if the dress had then been sold at the original selling price.

Answer:

h = 26.3 ft

Step-by-step explanation:

Here, we want to get the height of the hill

From the question, we have the angle and the hypotenuse

we want to get the height

The appropriate trigonometric identity to use is the sine as it the the ratio of opposite to hypotenuse

Thus;

sine 30 = h/52.6

h = 52.6 * 1/2

h = 26.3 ft