Write the equations. Identify the solution (x, y). Show your work.


Ten baseballs and four ping-pong balls cost $46.


One baseball costs one dollar more than two ping-pong balls.


Find the cost of one baseball and the cost of one ping-pong ball.


PLEASE HELP!!

Answer:

Step-by-step explanation:

One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i

3(5-2i) =

3·5 -3·2·i =

15 -6i or -6i +15

Answer:

we notice that the angle 4 is in a triangle.

The sum of all the angles in a triangle is always 180°, so:

45° + 47° + x = 180*

x=88°

There!

We have:  m∠4 + 45° + 47° = 180°

So: m∠4 = 180° - 47° - 45° = 88°

ANSWER: m∠4 = 88°

ok done. Thank to me :>

The number of students on the bus is 40.

The first step is to form two equations that represent the information in the question:

a + b = 45 equation 1

375a + 200b = 9875 equation 2

Where:

a = number of adults in the bus

b = number of students in the bus

The elimination method would be used to determine the number of students on the bus.

Multiply equation 1 by 375

375a + 375b = 16,875 equation 3

Subtract equation 2 from equation 3

175b = 7000

Divide both sides of the equation by 175

b = 7000 / 175

b = 40

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Answer:

Step-by-step explanation:

f(-5) = -(-5) + 1

        = 5 +1

        = 6

Answer:

f(-5) = -(-5) + 1

       = 5 +1

       = 6

Step-by-step explanation:

can i maybe get branlyest i only have 1 one rn it would help

The powers of 10 are perfect squares when the exponent is an even number, and they are not perfect squares when the exponent is an odd number.

This distinction arises because multiplying an integer by itself an even number of times produces a perfect square, while multiplying it an odd number of times does not.

Powers of 10 can be categorized into two groups: those that are perfect squares and those that are not. To understand why this distinction exists, let's first review what it means for a number to be a perfect square.

A perfect square is a number that can be expressed as the square of an integer. For example, 4 is a perfect square because it can be written as 2²2, and 9 is a perfect square because it can be written as 3²2.

Now, let's consider powers of 10. A power of 10 is obtained by multiplying 10 by itself a certain number of times. For instance, 10²2 means multiplying 10 by itself twice (10 * 10 = 100), resulting in 100. Similarly, 10³3 is obtained by multiplying 10 by itself three times (10 * 10 * 10 = 1,000), yielding 1,000.

The key observation is that when we take a power of 10, we are essentially multiplying 10 by itself multiple times. In the case of perfect squares, the exponent of 10 will always be an even number. This is because multiplying an integer by itself an even number of times results in a perfect square. For example:

10²2 = 100 (10 * 10)

10²4 = 10,000 (10 * 10 * 10 * 10)

10²6 = 1,000,000 (10 * 10 * 10 * 10 * 10 * 10)

In each of these cases, the exponent (2, 4, and 6) is an even number, and the resulting power of 10 is a perfect square.

On the other hand, when the exponent of 10 is an odd number, the resulting power of 10 is not a perfect square. For example:

10²1 = 10 (10)

10²3 = 1,000 (10 * 10 * 10)

10²5 = 100,000 (10 * 10 * 10 * 10 * 10)

In each of these cases, the exponent (1, 3, and 5) is an odd number, and the resulting power of 10 is not a perfect square.

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In this exercise, a subset of data from the U.S. Forest Service Resource Information System is used to explore relationships and predict forest cover type.

A simple random sample (SRS) of size 2000 is selected from the original dataset of 581,012 records. Using this SRS sample, the percentage of cells in each of the 7 forest cover types is estimated, along with 95% confidence intervals (CIs). Additionally, the average elevation in the population is estimated, also with a 95% CI.

For estimating the percentage of cells in each forest cover type, the SRS sample of size 2000 is analyzed. The proportion of cells belonging to each cover type is calculated, and 95% confidence intervals are constructed using appropriate statistical methods. These confidence intervals provide a range of values within which we can be 95% confident that the true percentage of cells in each cover type lies.

To estimate the average elevation in the population, the SRS sample is used to calculate the sample mean elevation. The sample mean serves as an estimate of the population mean elevation. A 95% confidence interval is constructed around this sample mean, indicating a range of values within which we can be 95% confident that the true population mean elevation lies.

Both the estimation of forest cover types and average elevation involve using statistical techniques to provide point estimates and confidence intervals. These estimates and intervals help us understand the characteristics of the population based on the information obtained from the SRS sample.

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Answer:

(0,6)

Step-by-step explanation:

First, deal with the reflection. Reflecting the triangle over the x axis will reflect it vertically into the upper right quadrant. Because it is reflected vertically, the x values of the vertices will not change and the y values will be the negative of whatever value they are originally. If the coordinates of each vertex are (x,y), you can easily find their new location by changing it to (x,-y). After the reflection, the coordinates of the vertices are as follows:

A = (2,6) [originally (2,-6)]

B = (2,1) [originally (2,-1)]

C = (5,6) [originally (5,-6)]

Now, deal with the translation. A translation of -5 units horizontally means that the triangle will be moving 5 units to the left. The y values will be unaffected by the translation. To find the new coordinates, subtract 5 from the x values of the coordinates after the reflection.

A = (-3,6)

B = (-3,1)

C = (0,6)

Therefore, the answer is (0,6).

Answer:

\(3x^3 - 5x + 1 - \frac{10}{x + 3}\)

or

3x^3 - 5x + 1

Remainder: -10

Step-by-step explanation:

Please see attached image for full explanation!

1.) Write the coefficient of each term.

2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)

3.) Add the product to the next coefficient and repeat until you get to the last number, -7.

4.) You should have the numbers 3, 0, -5, 1, and -10.

5.) Rewrite this quotient as an equation:

3x^3 - 5x + 1

Note that the highest power is 3, one less than that of the highest power in the original equation.

6.) Don't forget the remainder!

You can include this in the equation or not, depending on the instructions.

Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.

it is -1 and i have to type 20 characters to answer lol

Answer:

x = -1 (:

brainly rules 20 characters

4 ( x + 9) = x + 9 (remove the parantheses)

4x + 36 = x + 9 (move the terms)

4x - x = 9 - 36 (collect like terms and calculate)

3x = -27 (divide both sides)

solution : x = -9

Answer:

Solution given:

4(x+9) = x+9

4x+36=x+9

4x-x=9-36

3x=-27

x=-27/3

x=-9.

Answer:

I need points sorry for this

The solution of system of equations is (6,-2) or (0,6)

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

(6,-2) and (0,6)

The given line graph has coordinates (6,-2) and (0,6)

The given table of values contain the same points (6,-2) and (0,6)

So, the solution of system of equations is (6,-2) or (0,6)

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Answer:

1) The image of the line has the same slope as the pre-image but a different y-intercept.

hope this helps ;)

Answer:

  (r; θ) =

Step-by-step explanation:

You want the polar coordinates corresponding to the Cartesian coordinates ...

The relation between polar and cartesian coordinates is ...

  (x, y) ⇒ (√(x²+y²); arctan(y/x))

where the arctangent function takes quadrant into account.

The attachment shows a calculator's output where the Cartesian coordinates are translated to the complex plane. The negative angle is converted to a positive angle by adding 2π radians.

As an example of how this works, we can use ...

  c) (-2, -2√3) ⇒ (√((-2)² +(-2√3)²); arctan((-2√3)/-2))

  ⇒ (√16; arctan(√3)) . . . . . . where the angle is a 3rd quadrant angle

  ⇒ (4; π+π/3) = (4; 4π/3)

The polar coordinates are ...

  a.) (6; π/6)

  b.) (6; 5π/6)

  c.) (4; 4π/3)

__

Additional comment

There are several possible notations for polar coordinates. We have used one that is similar to the notation (x, y) for Cartesian coordinates, but uses a semicolon (;) separator to identify the ordered pair as polar coordinates.

The calculator uses a notation r∠θ, which we like for its compactness. Some calculators write both forms as vectors [x, y] or [r, θ] and leave it to the user to interpret the values appropriately.

Other notations used for polar coordinates are r(cos(θ), sin(θ)) or r(cos(θ)+i·sin(θ)) or r cis θ. The last of these is an abbreviation of the one before.

<95141404393>

a) A greedy algorithm is an approach to problem-solving that makes the locally optimal choice at each step with the hope of finding a globally optimal solution.

This means that at each step, the algorithm chooses the best available option without considering the future consequences of that decision.

(b) An example of a greedy algorithm that produces an optimal solution is the activity selection problem.

Given a set of activities with their start and end times, the goal is to select the maximum number of non-overlapping activities. The greedy algorithm sorts the activities by their end times and selects the first non-overlapping activity.

It then repeats this process with the remaining non-overlapping activities until all activities have been selected. This algorithm produces an optimal solution because selecting the activity with the earliest end time leaves the maximum amount of time available for the remaining activities.

(c) An example of a greedy algorithm that does not always produce an optimal solution is the knapsack problem.

Given a set of items with their weights and values, the goal is to maximize the value of items that can be carried in a knapsack of a given weight capacity. The greedy algorithm selects items based on their value-to-weight ratio until the knapsack is full.

However, this algorithm can fail to produce an optimal solution if there are items with high value but large weight, which cannot fit in the knapsack after the algorithm selects several low-value items with small weight. In such cases, a more sophisticated algorithm is required to find the optimal solution.

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Answer:

Each person will get .6 of a pound

Step-by-step explanation:

If you divide 3 by 5 you get .6.

Answer: 100

hope this helps

The nearest whole number to which the new height of the image is enlarged is 9cm.

By scaling, we can create a drawing of an object that corresponds to the object's true size. In geometry, scaling refers to either growing or reducing figures in order to preserve their fundamental shape. Similar figures are what we call scaled figures.

Given that the original size was in the ratio 4: 3.

When the image is enlarged the enlarged image will be in the similar ratio to the original size.

Hence, the ratio in which the enlarged image will be increased is 4x : 3x.

The new width is given as 12,

The value of 4x = 12

x = 3

Then the new height of the image is:

3 (3) = 9cm.

Hence, the new height of the image is 9cm.

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The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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Given:

The data values are:

21, 32, 17, 24, 15, 30, 28 and 26.

To find:

The first quartile, third quartile, and interquartile range.

Solution:

We have,

21, 32, 17, 24, 15, 30, 28, 26

Arrange the data values in ascending order.

15, 17, 21, 24, 26, 28, 30, 32

Divide the data set in two equal parts.

(15, 17, 21, 24), (26, 28, 30, 32)

Divide each parenthesis in two equal parts.

(15, 17), (21, 24), (26, 28), (30, 32)

Now, the first quartile is:

\(Q_1=\dfrac{17+21}{2}\)

\(Q_1=\dfrac{38}{2}\)

\(Q_1=19\)

The third quartile is:

\(Q_3=\dfrac{28+30}{2}\)

\(Q_3=\dfrac{58}{2}\)

\(Q_3=29\)

The interquartile range is:

\(IQR=Q_3-Q_1\)

\(IQR=29-19\)

\(IQR=10\)

Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.

To find the probability that a student gets at most 4 correct answers when guessing on all 12 multiple-choice questions, we can use the binomial probability formula.

The probability of guessing a correct answer on a single question is 1/4 since there are 4 choices for each question.

Now, let's calculate the probability of getting exactly 0, 1, 2, 3, or 4 correct answers and sum them up to find the probability of getting at most 4 correct answers.

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial probability formula, where n is the number of trials (12 questions) and p is the probability of success (1/4):

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Let's calculate each individual probability and sum them up:

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= C(12, 0) * (1/4)^0 * (3/4)^12 + C(12, 1) * (1/4)^1 * (3/4)^11 + C(12, 2) * (1/4)^2 * (3/4)^10 + C(12, 3) * (1/4)^3 * (3/4)^9 + C(12, 4) * (1/4)^4 * (3/4)^8

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Answer:

4.974

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because it's calculated by dividing AbM and that's how a is answer

Answer:

looks like it might be 4 but I'm not a 100% sure

Step-by-step explanation:

put in  -9    where 'x' is and compute

f(-9) = 3 ( -9)^2 -5 ( -9) + 4

       = 3 (81)  + 45 + 4

      = 292

\(\sf f(-9) = 292.\)

\(\sf f(-9) = 3(-9)^{2} -5(-9)+4\)

\(\sf f(-9) = 3(-9*-9) -5(-9)+4\\ \\f(-9) = 3(81) -5(-9)+4\)

\(\sf f(-9) = 243 -(-45)+4\\ \\f(-9) = 243+45+4\)

\(\sf f(-9) = 292.\)

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9514 1404 393

Answer:

  cos(θ) = (5√74)/74

Step-by-step explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

  h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

  cos(θ) = 5/√74 = (5√74)/74

Answer:

it will be 49 because u will add four because 37+4=41 41+4=45. 45+4= 49

Answer:

7 movies watched the bill will be 53$.

Step-by-step explanation:

0  =>  25

1   =>  (+4) 29

2  =>  (+4) 33

3  =>  (+4) 37

4  =>  (+4) 41

5  =>  (+4) 45

6  =>  (+4) 49

7  =>  (+4) 53

starting with the basic fee, which is 25$, there is an increment of 4$ for each movie that will be watched. So for 7 movies, the cost will be 53$.

Answer: b

Step-by-step explanation:

:)