2.A 3-digit number when divided by 5 has an even quotient. When it isdivided by 3, it also has an even quotient.What is the digit in the ones place?b. What can the number be?

As the coefficient of the cubic polynomial is positive its behavior as

x ⇒ ∞ is (D) y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

We know a polynomial end behavior is determined by the degree of the polynomial.

Given a function is a cubic polynomial which is of degree 3 and the coefficient is positive.

As the coefficient is positive the function f(x) will reach infinity as x approaches infinity.

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Answer:

(x,5)

Step-by-step explanation:

If the line is horizontal, the y values cannot change.  So, for a line of infinite length, there are infinite possible values for x but only a single value for y.  Any ordered pair in which the y value is 5 is an acceptable answer.

Miss Kelly would need to buy 9 packs because 9 x 9 = 81 and is enough markers for her class.

Answer:

from tjwuxrsnsu hshwjdysgw ehsshejisgwnd jrsysjsgshd

Answer: 18, 28, 38, 48, 58

Step-by-step explanation:

Answer:

18, 28, 38, 48, 58

Step-by-step explanation:

I think this is pretty self explanatory.

The formula that defines the sequence is f(n) = f(n-1) + 4

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

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At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265

The mean can be calculated as follows:

Observations (the number of jumps each student without pausing was counted); There were 24 observations

Mean is calculated by adding all of the observations together.

Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24

Mean = 5828/24

Mean = 242.83

to figure out the median;

The observations must first be put into either ascending or descending order.

Ordered in descending order

90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

Given that there have been 24 observations (an even number).

The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.

The average of these figures is then determined.

Median = 1/2 (265 + 265)

Median = 265

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The value y is 35, Since HIJK is an isosceles trapezoid so its diagonal are equal.

A quadrilateral in geometry is a four-sided polygon with four edges and four corners. The name is derived from the Roman words quadri, a variation of four, and latus, which means "side".

Isosceles trapezoid, it is a convex quadrilateral with one set of opposite sides divided by a line of symmetry in Euclidean geometry.

HIJK is an isosceles trapezoid.

So,  HJ =IK ( Diagonals are equal in isosceles trapezoid)

5y - 1 = 4y + 34

5y - 4y = 34 + 1

y = 35.

So, the value of y is 35.

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the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

Answer:

what is the question send it in the comment fast

Answer:

Step-by-step explanation:

salaries=2070

monthly activities=1/4of rem(x-2070)

1/4(x-2070)=1/4x-2070/4

1/4x-2070/4+2070=X

2070-517.5=3/4x

1552.5=3/4x

4*1552.5=3/4x*4

6210=3x=2070

The function that represents the number of dollars spent on monthly activities is (x - 2070)/4 dollars.

A fraction describes some part out of a total amount.

Given an organization has a monthly budget of x dollars.

Every month 2070 dollars is spent on salaries.

∴ The remaining budget is (x - 2070) dollars.

We know one-fourth in numerical form is (1/4) which is spent on monthly activities.

∴ The function that can be used to find the amount spent in dollars on monthly activities is,

= (1/4)(x - 2070) dollars.

= (x/4 - 2070/4) dolars.

= (x - 2070)/4 dollars.

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The distance between the two positions is 3 feet.

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)

Given:

point 1 (2:15) : x1 = 2 , y1 = 15

point 2 (2:18) : x2 = 2 , y2 = 18

Using the formula with the given values:

d=√((x2 – x1)² + (y2 – y1)²)

d=√((2 – 2)² + (18 – 15)²)

d=√0² + 3²

d = √9 = 3

Therefore, the distance is 3 feet.

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Answer:

\(1\frac{2}{3}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{4}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}\)

The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Answer:

4,000

Step-by-step explanation:

Rounding rule:

"4 or less, round down / keep the same."

"5 or more, round up."

Since the hundreds place has a 3, that means we round the thousands place to 4,000, because the hundreds place is lower than 5.

Answer:

21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

3 × 3 + 3 + 3 × 3

Step 2: Evaluate

Answer:

21

Step-by-step explanation:

3 x 3 = 9

9 + 3 = 12

3 x 3 = 6

12 + 6 = 18

18 + 3 = 21

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

Answer:

243

Step-by-step explanation:

Going in times 3 so 81 x 3 = 243

Answer:

6400

Step-by-step explanation:

The system has the following solution: \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals can be used to represent the answer.

A statement in mathematics demonstrating the equality of two expressions is called an equation. Two phrases with the same value are normally separated by the equals sign (=). Finding the area of a circle and predicting planetary motion are only two examples of the many practical issues that equations are used to address.

The linear system's augmented matrix, which is determined by the matrix equation A x = b is given by:

Aequals

\(\left[\begin{array}{ccc}1&-3&4\\2&-3&2\\-3&3&4\\-7&15&-4\end{array}\right]\)

Part 2:

Aequals

Write the system's solution as a vector after solving it.

We can use Gaussian Elimination to solve this system.

Step 1:

\(\left[\begin{array}{ccc}1&1&0\\2&-1&1\\-3&0&1\\-7&8&3\end{array}\right]\)

Step 2:

Aequals

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\3&1&0\\-4&3&1\end{array}\right]\)

The system's solution is \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals represents the answer.

The matrix is,

\(\left[\begin{array}{ccc}-4\\3\\1\end{array}\right]\)

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The guidelines for developing the intervals are

An interval in math is calculated in terms of numbers. An interval comprises all the numbers that come between two particular numbers. This range includes all the real numbers between two numbers.

A closed interval is an interval that includes all its limit points and is denoted with square brackets. For example, [0, 1] means that greater than or equal to 0 and less than or equal to 1.

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Answer:

y = 42 - 3/4 * x

Step-by-step explanation:

From the statement we know that the following:

x + y = 56

y = 56 - x

x beads of Nicole and another person's beads, after losing a 1/4 of the beads, it would be:

y = (3/4) * (56 - x)

y = 42 - 3/4 * x

From here on you should know the number of beads that Nicole has or suppose, for example:

x = 12

y = 42 - 3/4 * 12

y = 33

Therefore, you would have 33 beads.