Will give brainliest asap please

Answer:

Should be 10- (-2) lemme know if im wrong

Step-by-step explanation:

The answer is 10-(-2)

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

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The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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The probability that a second call will not arrive in the next 20 seconds is approximately 0.2636 or 26.36%.

Poisson probability is a mathematical concept that describes the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate of occurrence. The Poisson probability distribution is named after French mathematician Siméon Denis Poisson, who introduced it in the early 19th century to model the occurrence of rare events, such as errors in counting or measurement, accidents, or phone calls.

The Poisson probability distribution is a discrete probability distribution that gives the probability of a certain number of events (x) occurring in a fixed interval (t), when the average rate of occurrence (λ) is known. The Poisson probability distribution assumes that the events occur independently and at a constant average rate over time or space. The formula for Poisson probability is:

P(x; λ) = (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = it is the average rate of occurrence in the given interval

x = it is number of occurrences in the given interval

Given that calls for dial-in connections arrive at an average rate of four per minute and follow a Poisson distribution, we can use the Poisson probability formula to solve this problem. The Poisson probability formula is:

P(x; λ) =  (\(e^{-\lambda}\)) * λˣ) / x!

where:

P(x; λ) = the probability of x occurrences in a given interval, when the average rate is λ

e = a mathematical constant e (approximately 2.71828)

λ = the average rate of occurrence in the given interval

x = it is the number of occurrences in the given interval

In this problem, we are interested in finding the probability that a second call will not arrive in the next 20 seconds, given that a call has already arrived at the beginning of a one-minute interval. Since we are given the average rate of calls per minute, we need to adjust the interval to 20 seconds, which is 1/3 of a minute. Therefore, the average rate of calls per 20 seconds is:

λ = (4 calls/minute) * (1/3 minute) = 4/3 calls/20 seconds

Using the Poisson probability formula, we can calculate the probability of no calls arriving in the next 20 seconds:

P(0; 4/3) = ( \(e^{-4/3}\)* (4/3)⁰) / 0! = \(e^{-4/3}\) ≈ 0.2636

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Answer:

Step-by-step explanation:

The math used shows how much cups it would take to make 4 batches, 3 cups. Therefor yes, he does have exactly enough to make 4 batches of muffins.

The conversions for (a) Octal: 674, Hexadecimal:  DE0, for (b) Octal: 1161 Hexadecimal:  9C1. and for (c) Octal: 11140.
Hexadecimal: 930

(a) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

110 111 100

Converting each group to octal, we get:

6 7 4

Therefore, the octal equivalent of 110111100 is 674.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1101 1110 0

Converting each group to hexadecimal, we get:

D E 0

Therefore, the hexadecimal equivalent of 110111100 is DE0.

(b) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 110 001

Converting each group to octal, we get:

1 1 6 1

Therefore, the octal equivalent of 1001110001 is 1161.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 1100 01

Converting each group to hexadecimal, we get:

9 C 1

Therefore, the hexadecimal equivalent of 1001110001 is 9C1.

(c) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 001 100 0

Converting each group to octal, we get:

1 1 1 4 0

Therefore, the octal equivalent of 10010011000 is 11140.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 0011 0000

Converting each group to hexadecimal, we get:

9 3 0

Therefore, the hexadecimal equivalent of 10010011000 is 930.

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Step-by-step explanation:

3x + 5y = 50

x + 5y = 31

use substitution

x = 31-5y

3(31-5y) +5y = 50

93 -15y + 5y = 50

93 - 10y = 50

--10y = -43

y = 43/10 = $4.30 for kids

now solve for x

x + 5(4.30) = 31

x + 21.5 = 31

x = $9.5 for adults

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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When p = 0, the consumer would optimally choose a quantity of q∗ = 40 units (40,000 gallons).

(a) q∗ = 40 units (40,000 gallons)

(b) marginal value at q∗ = $40.00 per 1000 gallons

(c) total benefit = $1,600.00

to illustrate the figure, we can plot the demand curve using the given price equation p = 80 - 2q. the x-axis represents the quantity of water (q) in units of 1000 gallons, and the y-axis represents the price per 1000 gallons ($/1000 g). the demand curve will be a downward-sloping line starting at p = 80 when q = 0, and intersecting the price axis at p = 0 when q = 40.

(a) to determine the optimal quantity (q∗) that the consumer would choose, we set the marginal benefit (mb) equal to the price (p). the marginal benefit is the derivative of the total benefit with respect to quantity. in this case, the marginal benefit is constant and equal to the price, so mb = p. (b) at the optimal quantity q∗, the marginal value received for the last unit of quantity is equal to the price. since the price is given as $80.00 per 1000 gallons, the marginal value at q∗ is $80.00 per 1000 gallons.

(c) the total benefit is calculated by multiplying the price per unit (p) by the quantity (q∗). in this case, when the price offered is $0.00 per 1000 gallons, the total benefit is $80.00 per 1000 gallons multiplied by 40 units (40,000 gallons), resulting in a total benefit of $1,600.00.

note: in this specific case, where the price offered is $0.00 per 1000 gallons, the total benefit, consumer surplus, and total net benefit would all be equal, as there is no payment required.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

Cir = d\(\pi\)

C = 15\(\pi\)

Step-by-step explanation:

Answer:

Exact Answer: 15π inches

Decimal Answer: 47.1 inches

Step-by-step explanation:

The unit is inches because circumference is one dimension.

1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius

2.) dπ=15π

3.) 15 × 3.14⇒approximate answer

The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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It is more convenient to integrate with respect to y.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To sketch the region enclosed by the curves y = 3x² and y = 5x - 2x² and determine whether to integrate with respect to x or y, we can analyze the intersection points and the shape of the curves.

First, let's find the intersection points by setting the equations equal to each other:

3x² = 5x - 2x²

Combining like terms:

5x² - 5x = 0

Factoring out x:

x(5x - 5) = 0

Solving for x:

x = 0 or x = 1

So the curves intersect at x = 0 and x = 1.

Next, we can analyze the behavior of the curves to determine the orientation of the region.

For y = 3x², we have a parabola that opens upwards. This curve lies below the x-axis and is symmetric with respect to the y-axis.

For y = 5x - 2x², we have a downward-opening parabola. This curve lies above the x-axis and is symmetric with respect to the y-axis.

Based on this information, we can sketch the region enclosed by the curves.

The region enclosed by the curves is bounded by the curves themselves and the x-axis. It is the area between the curves from x = 0 to x = 1.

To determine whether to integrate with respect to x or y, we can observe that the region is vertically oriented, meaning it extends vertically between the curves.

Therefore, it is more convenient to integrate with respect to y.

To draw a typical approximating rectangle, we can choose a small interval along the y-axis and draw a rectangle that spans between the curves for that particular y-interval. This rectangle will represent an approximation of the region's area.

Hence, it is more convenient to integrate with respect to y.

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Writing the terms as a product of prime factors; we have;

According to the question:

We are required to write the following terms as a product of prime factors.

Prime numbers are numbers which are only divisible by themselves and the integer 1.

The prime factors of 12m²n³;

The prime factors of 18m³n;

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The correct option is a. mean: $64 median: $65 mode: $71, the mean is the average of all the values in a data set.

To calculate the mean, add up all the values and then divide by the number of values. In this case, the mean is $64.

The median is the middle value in a data set when the values are arranged in ascending or descending order. In this case, the median is $65.

The mode is the most frequently occurring value in a data set. In this case, the mode is $71.

Here is a table of the data with the mean, median, and mode calculated:

Value | Mean | Median | Mode

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

$71 | $64 | $65 | $71

$66 |     |     |

$81 |     |     |

$53 |     |     |

$64 |     |     |

$71 |     |     |

$68 |     |     |

$45 |     |     |

$50 |     |     |

$61 |     |     |

$63 |     |     |

$75 |     |     |

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Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)

Slope of PQ:

\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)

2x - y +1 = 0.

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Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

Answer:  y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

The expected number of wins for the upcoming month is approximately 4.4328.

What is probability?

Probability is a concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It is a measure of uncertainty or the degree of belief in the occurrence of an event.

To find the expected number of wins for the upcoming month, we can multiply the probability of winning a single game by the total number of games in the month.

Given that the probability of winning a single game is 0.3694, and there are 12 games in the upcoming month, the expected number of wins can be calculated as follows:

Expected number of wins = Probability of winning a single game * Total number of games

Expected number of wins = 0.3694 * 12

Expected number of wins = 4.4328

Therefore, the expected number of wins for the upcoming month is approximately 4.4328.

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The answer of the given question based on the finding the area of rectangle is  QRST is approximately 116.56 square units.

Area is a measure of the size or extent of a two-dimensional surface, like a shape or a region on a flat surface. It is typically measured in square units, like square meters (m²), square feet (ft²), or square centimeters (cm²).

To calculate the area of a shape, you need to know its dimensions and shape. The formula for finding the area of a shape depends on its shape. Area is an important concept in mathematics and geometry, and it is used in many real-life applications, such as measuring the size of land, determining the amount of material needed for a project, and calculating the volume of a container or room.

To find the area of the rectangle, we can use the distance formula to find the lengths of its sides. Then, we can use the formula for the area of a rectangle, which is the product of its length and width.

Length QR = √[(6 - (-4))² + (3 - (-3))²] = √[10² + 6²] = √(136)

Length ST = √[(9 - (-1))² + (-2 - (-8))²] = √[10² + 6²] = √(136)

Width QS = √[(6 - (-1))² + (3 - (-8))²] = √[7² + 11²] = √(170)

Width RT = √[(-4 - 9)² + (-3 - (-2))²] = √[13² + 1] = √(170)

Therefore, the area of the rectangle is:

Area = Length x Width = √(136) x √(170) = 116.56 (rounded to two decimal places)

So, the area of the rectangle QRST is approximately 116.56 square units.

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Answer:

Letter 'S'

Step-by-step explanation:

in the word 'MATHEATICS' has no line symmetry.

Answer:

see image

Step-by-step explanation:

"line of symmetry" means a line where you could fold a shape in half and the two halves would match up perfectly. Or like where you could place a mirror and see the whole letter still looking perfect.

see image.

All the letters have one or two lines of symmetry except for S which has none.

The I is kind of debatable. It has at least one but posssibly two, depends on the font i guess.

Answer: 2.294524311274043, 4.294524311274043, 6.294524311274043 and 8.294524311274043 radians.

Step-by-step explanation: We can start by isolating the sin function on one side of the equation:

sin (2x-4) = 2/3

Next, we can use the inverse sine function (sin^-1) to find the value of 2x-4:

2x-4 = sin^-1(2/3)

We know that the domain of the inverse sine function is [-1,1], so the value of 2/3 falls in that range. To find the value of x, we can add 4 to both sides and divide both sides by 2:

x = (sin^-1(2/3) + 4) / 2

The value of sin^-1(2/3) is approximately 0.5890486225480862 radians and that's the first solution in the range [0, pi], and we can add multiples of pi to get the other solutions.

x = (0.5890486225480862 + 4) / 2 = 2.294524311274043 radians (in the range [0, pi])

x = (0.5890486225480862 + 4 + pi) / 2 = 4.294524311274043 radians (in the range [pi, 2pi])

x = (0.5890486225480862 + 4 + 2pi) / 2 = 6.294524311274043 radians (in the range [2pi, 3pi])

x = (0.5890486225480862 + 4 + 3pi) / 2 = 8.294524311274043 radians (in the range [3pi, 4*pi])

So there are four solutions to this equation: 2.294524311274043, 4.294524311274043, 6.294524311274043 and 8.294524311274043 radians.

\(3\sin(2x-4)=2\implies \sin(2x-4)=\cfrac{2}{3}\implies 2x-4=\sin^{-1}\left( \cfrac{2}{3} \right) \\\\\\ 2x=\sin^{-1}\left( \cfrac{2}{3} \right)+4\implies x=\cfrac{\sin^{-1}\left( \frac{2}{3} \right)+4}{2} \\\\\\ x=\cfrac{\sin^{-1}\left( \frac{2}{3} \right)}{2}+2\implies x\approx\cfrac{0.73}{2}+2\implies \stackrel{II~Quadrant}{x\approx 2.365}\hspace{5em}\stackrel{III~Quadrant}{\stackrel{\frac{\pi -0.73}{2}+2}{x\approx 3.206}}\)

Answer:

302 degrees

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

     We will set up a proportion to solve.

\(\displaystyle \frac{?}{16}=\frac{15}{12}\)

   Now, we will cross-multiply.

12 * ? = 16 * 15

12? = 240

? = 20

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

Answer:

900 in a minute

Step-by-step explanation:

2700/3

=900