Question 2 Michael, Casey, Ally and Kyra are going on a road trip! The trip is 465 miles long. Michael drives for 1/5 of the trip. Casey drives for 2/5 of the trip. Ally and Kyra split the rest of the driving evenly. How many miles does Kyra drive?

The problem states that a can of tomato sauce contains 8 oz of sauce and a case contains 12 cans. We are trying to find out how many cases of tomato sauce Chef Hugo orders and we know that he gets a total of 480 oz of sauce.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We can use the formula 12(8)x = 480 to find out the number of cases of tomato sauce that Chef Hugo orders.

Here's the calculation:

12(8)x = 480

96x = 480

x = 5

Therefore, Chef Hugo orders 5 cases of tomato sauce.

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Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

The amount should be $22.12.

\(= 18 \times (1.51) ^{.5}\)

= $22.12

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Answer:

2

Step-by-step explanation:

count your fingerssssssssssssd

Answer:

20

Step-by-step explanation:

you add 7 each time

Answer:

20

Step-by-step explanation:

Find the pattern: +7. so the next one is 13+7 which is 20.

Hope this helps plz mark brainliest :D

Answer:

5253 out of 5255 times.

\( \frac{5253}{5255} \)

Step-by-step explanation:

Being that the we are determining the probobility of it not bein defecteve, then we simply count the bolts not defective rather then defective ones. We can do this simply by subtracting the defective bolts from 1, or total bolts recieved.

\(1 - \frac{2}{5255} \)

Which is the equation that gives us the answer,

\( \frac{5253}{5255} \)

Answer:

4.2 ft

Step-by-step explanation:

Given the equation for the Law of Cosines, we can rewrite the equation to solve for "c" directly:

\(c^2=a^2+b^2-2ab(cosC)\\c=\sqrt{a^2+b^2-2ab(cosC)}\\c=\sqrt{7^2+8^2-2(7)(8)(cos32)}\\c=\sqrt{49+64-2(56)(cos32)}\\c=\sqrt{113-112(cos32)}\\c=\sqrt{113-94.98138677}\\c=\sqrt{18.01861323}\\c=4.244833711\\c=4.2\)

So the length of c is approximately 4.2 ft

Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by:

\(\mu = 2.8, \sigma = 0.7\).

The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is one subtracted by the p-value of Z when X = 4, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{4 - 2.8}{0.7}\)

Z = 1.71

Z = 1.71 has a p-value of 0.9564.

1 - 0.9564 = 0.0436.

0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

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(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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The number of points on circle or the value of 'n' is 9.

From the combination formula, C(n, r) = n!/(r!(n - r)!)

So here total number of points on circle is = n

The number of points needed to form a triangle is = 3.

So number of triangles whose vertices are among those n points is = C(n, 3)

The number of points needed to form a hexagon = 6

So number of hexagon whose vertices are among those n points is = C(n, 6)

According to given information this numbers are equal, so the equation best suited to this situation is,

C(n, 3) = C(n, 6)

n!/(3!(n - 3)!) = n!/(6!(n - 6)!)

[n(n - 1)(n - 2)]/3! = [n(n - 1)(n - 2)(n  -3)(n - 4)(n - 5)]/6!

(n - 3)(n - 4)(n - 5) = 6!/3!

(n - 3)(n - 4)(n - 5) = 6*5*4

We can see that both sides form AP. So comparing the both sides,

n - 3 = 6

n = 6 + 3 = 9

Again from n - 4 = 5

n = 5 + 4 = 9

Again from n - 5 = 4

n = 4 + 5 = 9

Hence the number of points is 9.

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Using reflections concepts, it is found that:

-----------------------------------------

The rule for a reflection across the x-axis is:

\((x,y) \rightarrow (x, -y)\)

That is, the x-coordinates stay the same, while the y-coordinates will have the opposite signal.

For a reflection across the y-axis, the rule is:

\((x,y) \rightarrow (-x,y)\)

That is, the y-coordinates stay the same, while the x-coordinates will have the opposite signal.

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Step-by-step explanation:

8x+ 14y= 4

-6×-7y= -10

For elimination method we can decide to eliminate either the y or x variable I'm going to eliminate the x variable so either of the one am eliminating we multiply the first equation by the coefficient of the variable we are eliminating in other words

8x +14y=4.....*-6

-6×-7y= -10......*8

-48x-84y= -24

-48x-56y= 80

then we multiply the second equation all through by -1

-48x-84y= -24

48x+ 56y= -80

28y=-104

y= 26/7

x= 8/3

Answer:

5280 yards is greater. We use miles.

Step-by-step explanation:

5280 feet is one mile. 3 feet is a yard. We typically use miles.

To determine the probability that a person owns a Dodge or has four-wheel drive, we need to know the total number of people being considered and how many of them meet either of these criteria. Without this information, we cannot provide an accurate answer.

To calculate the probability that a person owns a Dodge or has four-wheel drive, you need to consider the individual probabilities of each event and the overlapping probability of both events occurring. Let's denote the events as follows:

- P(D): Probability of owning a Dodge
- P(F): Probability of having a four-wheel drive
- P(D ∩ F): Probability of both owning a Dodge and having a four-wheel drive

Using the formula for the probability of either event occurring:

P(D ∪ F) = P(D) + P(F) - P(D ∩ F)

Without specific values for these probabilities, it is impossible to give a numerical answer. However, you can use the above formula once you have the relevant data.

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Answer:

3.74 × 10 or 3.74 × 10^1

Step-by-step explanation:

Hope This Helps!

There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.

First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.

Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.

Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.

To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:

6 + 18 + 1 = 25

Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

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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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Answer:

the question is probably wrong

Step-by-step explanation:

10 - -6 = 16

-6 - -6 = 0

16/0= undefined?

The general solution of the given recurrence equation is Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n.

The given recurrence equation is

Qn-1 + 5Qn-2 + 3Qn-3 = 3

Let's find the characteristic equation of the given recurrence equation:

By assuming Qn = rn,

the characteristic equation can be derived as:

r3 - r2 - 5r - 3 = 0

So, the characteristic polynomial is

(r + 1)(r - 3)2

Let α = -1 and β = 3 (repeated roots)

Now, the solution of the given recurrence equation is:

Qn = Arn + Bnαn + Cnβn

As α = -1 and β = 3 are the roots of the characteristic equation, substitute these values in the above equation.

We have

A(-1)n + Bn(-1)n + Cn(3)n ... (1)

As we are going to find the general solution of Qn, the constants A, B, and C need to be determined.

Let's solve for A, B, and C by considering the first few terms of the given recurrence equation.

Suppose n = 3 in the recurrence equation Qn-1 + 5Qn-2 + 3Qn-3 = 3, we have

Q2 + 5Q1 + 3Q0 = 3 ... (2)

Now, substitute n = 2 in the general solution (1), we have

Q2 = A(-1)2 + B2(-1)2 + C23 ... (3)

Now, substitute n = 1 in the general solution (1), we have

Q1 = A(-1)1 + B1(-1)1 + C31 ... (4)

Now, substitute n = 0 in the general solution (1), we have

Q0 = A(-1)0 + B0(-1)0 + C30 ... (5)

Now, let's solve for A, B, and C using equations (2), (3), (4), and (5).

Q2 + 5Q1 + 3Q0 = 3:

2A + 5B + 3C = 3A(-1)2 + B2(-1)2 + C23:

A - B + 9C = 3A(-1)1 + B1(-1)1 + C31:

-A - B + 3C = 1A(-1)0 + B0(-1)0 + C30:

A + B + C = 1

On solving the above equations,

we get A = -1/4, B = 1/4, and C = 1/2

So, the general solution of the given recurrence equation is  

Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n

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1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

Answer:

Its my first answer but may i have a brainlist please im new

Step-by-step explanation:

Answer:

Substitute your answer for the variable x. If the equation looks accurate or is correct, then the value of x is the right answer. Not sure if this makes sense

Determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Simplify the equation as much as possible using algebraic manipulations such as combining like terms, factoring, and expanding.

Evaluate the equation for a few different values of x to see if it holds true. If the equation is true for all values of x within the domain, then it will be true for all values of x. If there are any values of x within the domain that make the equation false, then it will be false for no values of x.

If the equation cannot be simplified or the domain cannot be determined, then it may require further analysis, such as graphing or using calculus techniques to determine its behavior.

Thus, determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.

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Answer:

Step-by-step explanation:

(1/3+1 1/16-13/24+1/8)times 96 is equal to 47/48 times 96.

47/48 times 96 is equal to 94.

If six different colors of paint are available, 360 ways can the knobs be painted.

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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SOLUTION:

We are to find the instruments that same number of students play?

Considering the given bar-chart, 32 students played each of Saxophone and Drums.

Therefore the answer is Saxophone and Drums.

Answer:

18 ft^2

Step-by-step explanation:

1^2=1

1*6=6

6*3=18

Answer: 18 square feet.

Step-by-step explanation:

You can find the surface area of the ice cubes by taking the area of each square side and multiplying it by 6.

1 * 1 = 1, so each side is 1 square foot.

There are six sides on a cube, so each ice cube has a surface area of six feet squared.

There are three ice cubes there, so 3 * 6 = 18 square feet.

Three ice cubes have a surface area of 18 feet squared.

Answer:

7

Step-by-step explanation:

If you divide 8y / 8  then you have to do the same thing to 56. When you do, y  = 7

Answer:

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

The true statement about the triangle is that C) the triangle is isosceles

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and the angles opposite to the equal sides are also equal.

From the given diagram stated that two angles are equal so two sides opposite to the equal angles are also equal, Hence it is an isosceles triangle.

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Answer:

the time taken is 22 mins