WILL MARK BRAINLIEST Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost
of each item.

The probability that he got exactly 1 question correct is 0.0267. Then the correct option is B.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Van guessed on all 8 questions of a multiple-choice quiz.

Each question has 4 answer choices.

Then the probability of the correct answer (p) is 0.25 and the probability of the wrong answer is 0.75.

Then the probability that he got exactly 1 question correct will be

\(\rm P = \ ^{n}C_r * p^r (q)^{n-r}\\\\P = ^8C_1 * 0.25^1 * 0.75^{8-1}\\\\P = 0.26696 \approx 0.267\)

The probability that he got exactly 1 question correct is 0.0267.

Thus, the correct option is B.

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Answer:

B is the correct answer on edge

Step-by-step explanation:

The conclusion that can be drawn from the given premises is A) Our actions are not free.

The first premise states that if our actions are free, then we must be able to act differently from the way we do act. The third premise states that if our actions are free, then we can act differently from the ways we do act. However, the second premise states that our beliefs and desires cause our behaviors and if our beliefs and desires cause our behaviors, then we cannot act differently from the ways we do act. These premises lead to the conclusion that our actions are not free, as our behaviors are determined by our beliefs and desires and we cannot act differently from the ways we do act. Therefore, option A is the correct conclusion that can be drawn from the given premises.

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Answer:

I think it’s 5 x 10^-5

Step-by-step explanation:

Answer:

5*10^-5

Step-by-step explanation:

When you do powers of 10 and your answer is a decimal you exponet will be negative. In this case you could just count the number of 0s in the answer to get your equation and then use the 5 as the first box and the -5 as the second box

The value of x such that the point is on the unit circle is x = 1/5.

We know that the point (x, √24/5) lies on the unit circle.

That means that the distance between the origin and that point must be 1 unit, then we can use the distance formula to find the value of x, it is:

distance = √( (x - 0)² + (√24/5 - 0)²)

And that distance is 1 unit, then we need to solve:

1 = √( (x - 0)² + (√24/5 - 0)²)

1 = √( (x )² + (√24/5)²)

1 = √( x² + 24/25)

1 = x² + 24/25

1 - 24/25 = x²

1/25 = x²

√(1/25) = x

1/5 = x

That is the value of x.

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Answer:

-15

Step-by-step explanation:

4.1.60 - (15) + (-13) = 32

4.2. -2(3) + 27 ÷ (-3) = -2(3) - 9 = -15

Answer:

Period

YEAR 1 ....... Depreciation=470.72..... Balance= 4236.48

YEAR 2 ...... Depreciation=423.63..... Balance=3812.83

the value would be 3812.83!!!!!

Step-by-step explanation:

hope this helps

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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Answer:

Hello!

YOUR ANSWER IS 315 DEGREES MORE

Step-by-step explanation:

To get it to the start position is the same as TURNING IT 360 DEGREES!

So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!

HOPE THIS HELPS!!

The value of x for the expression will be \(x = \dfrac{( 4 + 8y ) }{ -7}\).

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Considering that the formula is 7x8y=4, The calculation for x is as follows:

−7x−8y=4

Apply the mathematical operation of addition and subtraction and solve the expression for the value of x below,

-7x = 8y + 4

\(x = \dfrac{( 4 + 8y ) }{ -7}\)

Therefore, the value of x will be  \(x = \dfrac{( 4 + 8y ) }{ -7}\).

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The complete question is given below.

The expression for the x and y variables is −7x−8y=4. Solve the expression for the value of x.

The total profit reached by Peter, Joey, and Tommy is $14.06 from the lemonade stand.

If Peter, Joey, and Tommy made $42.18 from their lemonade stand and split the profits evenly, then each of the boys will get an equal share of the total profits. This is a fair way to split profits because it ensures that each person who contributed to the profits receives an equal share.

To calculate how much each of the boys will get, we can divide the total profits by the number of boys who made the profits. In this case, there are three boys who made the profits, so we need to divide $42.18 by 3:
$42.18 ÷ 3 = $14.06
In conclusion, Peter, Joey, and Tommy will each get $14.06 from the lemonade stand profits. It is important to split profits evenly to ensure that everyone who contributed to the profits receives a fair share.

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The system of equations that can be used to determine the amount each player earned, in million of dollars is the option;

(4) m + f = 3.95

f + 0.005 = m

A system of equation consists of two or more equations that have the same variables.

The details in the question indicates;

The earnings of football player McGee's in 2010, m = 0.005 million dollars more than those of his teammate Fitzpatrick's earnings, f

The amount earned by the two players = 3.95 million dollars

Therefore, we get;

m + f = 3.95

f + 0.005 = m

The correct option is therefore, option 4

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Answer:

mÐ4 = 30°

Step-by-step explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.

The area of the region is (3/4)ab.

Given: Let A and B be points in the plane. The region S is defined in the first quadrant consisting of those points such that ∆ABC is an acute triangle.

In a coordinate plane, let A be (0,a) and B be (b,0).

Let C be a point (x,y) in the first quadrant so that the ∆ABC is acute.

Then the slope of AB is  -a/b and the slope of AC is y/x.

The angle ∠BAC is acute if and only if -a/b . y/x < -1, i.e. ab > xy.

Since we want the region in the first quadrant consisting of those points such that ∆ABC is an acute triangle, we need to graph the set of all points in the first quadrant that satisfy the inequality ab > xy.

Area of the region S = area of first quadrant - area of shaded region

Area of first quadrant = a * b

Area of shaded region = (1/2) * b * a/2 = ba/4

Thus, the area of the region S is given by a*b - ba/4 = (3/4)ab

Therefore, the area of the region is (3/4)ab.

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The solution to the given differential equation is:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)

To solve the given differential equation

\(x^3y'''\ -\ 6y\ =\ 0,\)

we can use the method of power series. Let's assume a power series solution of the form

\(y(x)\ =\ \sum_{n=0}^{\infty} a_nx^n.\)

Differentiating y(x) with respect to x gives:

\(\[y'(x)\ =\ \sum_{n=0}^{\infty} n a_n x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+1) a_{n+1} x^n\]\)

Differentiating again gives:

\(\[y''(x)\ =\ \sum_{n=0}^{\infty} (n+1)na_{n+1}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)a_{n+2}x^n\]\)

Differentiating one more time gives:

\(\[y'''(x)\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)na_{n+2}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n\]\)

Substituting these expressions into the differential equation, we have:

\(\[x^3 \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)

Rearranging the terms and combining like powers of x, we get:

\(\[\sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^{n+3} - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)

Now, let's equate the coefficients of like powers of x to zero:

For n=0:

\(\[(3)(2)(1)a_3 - 6a_0 = 0 \implies 6a_3 - 6a_0 = 0 \implies a_3 = a_0\]\)

For n=1:

\(\[(4)(3)(2)a_4 - 6a_1 = 0 \implies 24a_4 - 6a_1 = 0 \implies a_4 = \frac{1}{4}a_1\]\)

\(For \: n\geq 2:

\[(n+3)(n+2)(n+1)a_{n+3} - 6a_n = 0 \implies a_{n+3} = \frac{6a_n}{(n+3)(n+2)(n+1)}\]

\)

Now we can write the solution as:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{6a_{n-2}}{n(n-1)(n-2)}x^{n+3}\]

\)

Simplifying the series, we get:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_

1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]

\)

Therefore, the solution to the given differential equation is:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)

where a₀ and a₁ are arbitrary constants to be determined based on the initial conditions or boundary conditions given in the problem.

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The number lines for the given inequalities are drawn as shown in the figures below.

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point. On a number line, inequalities are represented by drawing a straight line and designating the endpoints with either an open or closed circle. An open circle indicates that the value is not included. A closed circle indicates that the value is included.

1) Number line A

 The closed circle at -2 means greater than or equal or less than or equal to -2.

Now the arrow is extending to the left.

So the inequality is numbers less than or equal to -2.

2) Number line B

 The open circle at -2 means greater than or less than  -2.

Now the arrow is extending to the left.

So the inequality is numbers less than  -2.

3) Number line C

  The closed circle at -2 means greater than or equal or less than or equal to -2.

Now the arrow is extending to the right.

So the inequality is all the numbers greater than or equal to -2.

4) Number line D

  The open circle at -2 means greater than or less than  -2.

Now the arrow is extending to the right.

So the inequality is all the numbers greater than  -2.

Therefore the number lines for the given inequalities are drawn as shown in the figures below.

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In order to evaluate the sequences, let's find the ratio of each one by subtracting the second term and the first one.

1)

Since the ratio is negative, the sequence is decrescent.

2)

The ratio is positive, so we have a crescent sequence.

3)

The ratio is positive, so we have a crescent sequence.

The angles that satisfy the inequality are  270° < A < 360°, 90° < B < 180° and 180° < C < 270°.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A circle is a unit circle.

A).

cos(A) > 0 and sin(A) < 0.

And that property is in between 270° < A < 360°

That means, value of A will be in fourth quadrant.

B).

cos(B) < 0 and sin(B) > 0.

And that property is in between 90° < B < 180°

That means, value of B will be in the second quadrant.

A).

cos(C) < 0 and sin(C) < 0.

And that property is in between 180° < C < 270°

That means, value of A will be in third quadrant.

Therefore, the angles that satisfy the inequality.

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Based on the information, it can be inferred that this salesperson must make sales equivalent to $28,000 to obtain an equal profit with both options.

To find the amount of money that we must sell to have the same profit with both options we must carry out the following mathematical procedure.

1. We must calculate how much you would earn with option A in a week.

$28 * 40 = $1,120

2. We must make a rule of three to find a value of which 4% is equal to 1,120

Based on the above, the salesperson must sell $28,000 to make the same profit on both options in one week.

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The measure of angle x is 70°.

Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.

What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.

Then, for the left triangle, we can write:

30° + 80° + x° = 180°

Now we can solve that equation for x, then we will get:

x° = 180° - 80° - 30°

x = 70°

That is the measure of angle x.

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The area of the surface obtained by the curve rotated along the x-axis is \(S_1=\int\limits_0^{\pi/3}2\pi (\tan x)\sqrt{1+\sec^4x}\;dx\). The area of the surface obtained by the curve rotated along the y-axis is \(S_2=\int\limits_0^{\sqrt{3}}2\pi (\tan^{-1}y)\sqrt{1+\left(\frac{1}{1+y^2}\right)^2}\;dy\).

A surface type that results from rotating a curve around a specific axis is the area of the surface of revolution. The formula for the area around the x-axis is given by, \(S_1=\int\limits_a^b2\pi f(x)\sqrt{1+(f'(x))^2}\;dx\) and around the y-axis is \(S_2=\int\limits_a^b2\pi g(y)\sqrt{1+(g'(y))^2}\;dy\).

a) Given the expression is rotated about the x-axis. Let,

\(\begin{aligned}f(x)&=y\\&=\tan x \in \left[0,\frac{\pi}{3}\right] \end{aligned}\)

Then,

\(f'(x)=\sec^2x.\)

Substitute f(x) and f'(x) value in the S₁ formula, we get,

\(S_1=\int\limits_0^{\pi/3}2\pi (\tan x)\sqrt{1+\sec^4x}\;dx\)

b) Given the expression is rotated about the y-axis. Let,

\(\begin{aligned}x&=g(y)\\&=\tan^{-1}y \in \left[0, \sqrt{3}\right] \end{aligned}\)

Then,

\(g'(y)=\frac{1}{(1+y^2)}\)

Substitute g(y) and g'(y) value in the S₂ formula,

\(S_2=\int\limits_0^{\sqrt{3}}2\pi (\tan^{-1}y)\sqrt{1+\left(\frac{1}{1+y^2}\right)^2}\;dy\)

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The complete question is -

a) Set up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π/3 about the x-axis.

b) Set up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π/3 about the y-axis.

The transformation needed to the graph f (x) = | x + 2 | + 3 from  the graph of y = | x | is 2 units to the right and 3 units to the down.

The equation of the original graph is given by:

y = | x |

Now, the transformed graph is given as:

f (x) = | x + 2 | + 3

y = | x + 2 | + 3

This can also be written as:

y - 3 = | x + 2 |

So, we can see the transformation as:

the function will be transformed 2 units to the right and it will be transformed 3 units down.

Therefore, the transformation needed to the graph f (x) = | x + 2 | + 3 from  the graph of y = | x | is 2 units to the right and 3 units to the down.

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Step-by-step explanation:

suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make

After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.

This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.

If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)

A = 380,000(1 + .075/1)1(6)

A = 380,000(1.075)6

A = 586,454.58 people

Rounded to the nearest whole number

the population after 6 years should be

586,455 people

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below.

A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.

Answer:

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes, and one intersecting plane, or three planes that intersect the other two but not at the same location

Step-by-step explanation:

I"m no expert but this should be correct lol

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

Answer: 2 4/15 months

Step-by-step explanation:

From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.

The number of months that it will take the wagon train to travel from Missouri to Utah will be:

= 1 2/3 + 3/5

The common lowest multiple is 15

= 1 10/15 + 9/15

= 1 19/15

= 1 + 1 4/15

= 2 4/15 months

It will take they train 2 4/15 months to travel from Missouri to Utah.

The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

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Answer:

the answer will be [7] because the others are null