HELP PLEASE

Find the value of y. Round to

the nearest tenth.

у

42°

85°

31

Answer:

Number of sundaes = 36

Number of banana split = 28

Step-by-step explanation:

On that day, let the number of sundaes sold be x

Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8

So the cost of sundaes sold will be 2 * x = 2x

the total cost of banana splits sold will be 3(x-8) = 3x -24

The addition of both equals 156

Hence;

2x + 3x-24 = 156

5x -24 = 156

5x = 156 + 24

5x = 180

x = 180/5

x = 36

So

number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28

To solve the initial value problem (IVP) 9(T+1)dy/dt - 5y = 20t for T > -1 with y(0) = 19, we can use an integrating factor and then apply the appropriate integration techniques.

The differential equation can be written in the standard form as:

9(T+1)dy/dt - 5y = 20t

Comparing this to the standard form, we have:

P(T) = -5/(T+1)

Q(T) = 20t

The integrating factor (IF) is given by the exponential of the integral of P(T), i.e., IF = e^(∫(-5/(T+1)) dT).

Let's evaluate the integral:

∫(-5/(T+1)) dT = -5∫(1/(T+1)) dT = -5ln|T+1| + C

Therefore, the integrating factor is IF = e^(-5ln|T+1|) = (T+1)^(-5).

Now, multiply the entire equation by the integrating factor:

(T+1)^(-5) * [9(T+1)dy/dt - 5y] = (T+1)^(-5) * 20t

Simplifying this expression:

9dy/dt - 5(T+1)^(-4)y = 20t(T+1)^(-5)

This is a linear first-order ordinary differential equation. To solve it, we can use an integrating factor. The integrating factor is given by the exponential of the integral of (-5(T+1)^(-4)) dT.

Let's evaluate the integral:

∫(-5(T+1)^(-4)) dT = -5∫(1/(T+1)^4) dT = -5 * (-1/3)(T+1)^(-3) + C

= (5/3)(T+1)^(-3) + C

Therefore, the integrating factor is IF = e^((5/3)(T+1)^(-3)).

Multiply the entire equation by the integrating factor:

e^((5/3)(T+1)^(-3)) * [9dy/dt - 5(T+1)^(-4)y] = e^((5/3)(T+1)^(-3)) * 20t(T+1)^(-5)

Simplifying this expression:

9e^((5/3)(T+1)^(-3)) * dy/dt - 5e^((5/3)(T+1)^(-3)) * (T+1)^(-4)y = 20e^((5/3)(T+1)^(-3)) * t(T+1)^(-5)

Now, let's integrate both sides with respect to t. On the left side, we integrate with respect to t, and on the right side, we integrate with respect to T:

∫[0, t] 9e^((5/3)(T+1)^(-3)) * dy = ∫[0, t] 20e^((5/3)(T+1)^(-3)) * t(T+1)^(-5) dt

Integrating the left side:

9∫[0, t] e^((5/3)(T+1)^(-3)) * dy = 9y ∣[0, t] = 9(y(t) - y(0))

Integrating the right side:

∫[0, t] 20e^((5/3)(T+1)^(-3)) * t(T+1)^

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Answer: Equation: 4 \(\frac{2}{5}\)-2 \(\frac{1}{8}\) ; estimate: a

little more than 2 inches; answer: 2 \(\frac{11}{40}\)

inches.

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

because in a simplified ratio, it tells us that in any set of whatever number (total of 3 and 4), there will be a quantity in simplification of 3 on one side.

Answer:

What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?

a;50

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

The xz-plane is the plane formed by the x-axis and the z-axis. To find a vector parametrization of a curve in this plane, we need to express the x and z coordinates of the curve as functions of a parameter t. In this case, we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

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By using the concept of kinetic energy, it is obtained that

Kinetic energy of the  airplane when its velocity is 300 m/s is 20250 megajoule

What is Kinetic energy?

Kinetic energy is the energy possessed by the body by virtue of its motion

If m is the mass of the body and v is the velocity of the body, then kinetic energy is given by the formula

Kinetic energy = \(\frac{1}{2} \times m \times v^2\)

Let the mass of the airplane be m kg

Velocity = 220 m/s

Kinetic energy = \(\frac{1}{2} \times m \times (220)^2\)

By the problem,

\(\frac{1}{2} \times m \times (220)^2 = 10890\times 10^6\)

\(m = \frac{10890\times 10^6\times 2}{220\times 220}\)

m = \(0.45 \times 10^6\) kg

Now,

Velocity = 300 m/s

Kinetic energy = \(\frac{1}{2} \times 0.45 \times 10^6 \times 300 \times 300\)

                        = \(20250 \times 10^6\) J

                        = 20250 mega joules

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Answer:

$1.56

Step-by-step explanation:

hope this helps!

Answer:

B

Step-by-step explanation:

In order to answer this question, we will follow the following steps:Step 1: Choose 3 points p; = (Xinyi) for i = 1, 2, 3 in Rể that are not on the same line (i.e. not collinear).Step 2: Suppose we want to find numbers a,b,c such that the graph of y=ax2+bx+c (a parabola) passes through your 3 points.

This question can be translated to solving a matrix equation XB = y where ß and y are 3 x 1 column vectors, what are X, B, y in your example Step 3: Two ways to solve the previous part (hint: one way starts with R, the other with I).

Show how to use linear algebra to find all degree 4 polynomials y = $4x4 + B3x3 + B2x2 + B1x + Bo that pass through your three points (there will be infinitely many such polynomials, and use parameters to describe all possibilities).

We can rewrite the above equation as XB = y, where the columns of X correspond to the coefficients of a, b, and c, respectively, and the entries of y are the y-coordinates of P1, P2, and P3. The entries of ß are the unknowns a, b, and c.

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Answer:

T

Step-by-step explanation:

Answer:

Your answer is T

Step-by-step explanation:

-1 pertains to the X axis, side to side. That means that if we want to move -1 we move to the left on the X axis.

There is no movement on the Y axis.

Answer:

9300$

Step-by-step explanation:

The true statement among the given options is:

c) Statements 1 and 3

Let's analyze each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because 8 is a multiple of 4, meaning any number that is divisible by 8 will also be divisible by 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true since 18 is divisible by 2. Hence, any multiple of 18 will also be divisible by 2. However, statement 2 is not true:

If n is a multiple of 18, then n is a multiple of 9. This statement is false because not all multiples of 18 are multiples of 9. For instance, the number 18 itself is a multiple of 18 but not a multiple of 9. Therefore, the correct answer is c) Statements 1 and 3.

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The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. matrix, a collection of numbers lined up in rows and columns to create a rectangular array.  In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics. It is so named because there is just one row, and a row matrix has the order 1 n as a result.

given

Eigen values ( λ )

| A - λI | = 0

=  ( 7 - λ ) ( 11 - λ ) ( 11 - λ ) =0

= λ = 7 , 11 , 11

eigen vector for λ = 7

( A - IB ) X = 0

= Let y = 1 , n1 = ( -1  1  0 )

eigen vector for λ = 11

( A - λI ) X = 0

n2 = ( 0 1 0 ) let n3= ( -2 0 1 )

D = ( 7 0 0 ,  0 11 0 , 0 0 11 )

The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

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Using logical reasoning, we know that the members of the club wear red shirts on Monday.

So, we know that:

The member wears a blue shirt the day after wearing a yellow shirt.

Then: Yellow __ Blue

The member was a red shirt before a yellow shirt.

Then: Red, Yellow,  __ Blue

Members wear blue shirts 3 days in a row.

Then: Red, Yellow,  Blue, Blue, Blue

members wear a yellow shirt after wearing blue shirts for 3 days.

Then: Red, Yellow,  Blue, Blue, Blue, Yellow

Now, we have:

Red (Monday), Yellow (Tuesday),  Blue (Wednesday), Blue (Thursday), Blue (Friday), Yellow (Saturday)

Therefore, using logical reasoning, we know that the members of the club wear red shirts on Monday.

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Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

Step-by-step explanation:

the answer is 10x +100 = 250

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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The expression that is equivalent to (2x + 3)/4 is: A. x/2 + 3/4.

Express the given expressions in their simplest form to determine the expression that is equivalent to (2x + 3)/4.

A. x/2 + 3/4

Find the common denominator. The common denominator is 4. Therefore:

=  2(x) + 1(3)/4

= (2x + 3)/4

x/2 + 3/4 ≠ (2x + 3)/4

Thus, the expression, x/2 + 3/4 is equivalent to (2x + 3)/4.

B. x/2 - 3/4 = (2x - 3)/4

Therefore, x/2 - 3/4 ≠ (2x + 3)/4

C. 3x/4 + 3/4 = (3x + 3)/4

Therefore, 3x/4 + 3/4 ≠ (2x + 3)/4

D. 8x + 24 ≠ (2x + 3)/4

Therefore, 8x + 24 ≠ (2x + 3)/4

In summary, we can conclude that, the expressions, x/2 - 3/4, 3x/4 + 3/4, and 8x +24x/2 + 3/4 is not equivalent to (2x + 3)/4. Thus, the expression that is equivalent to (2x + 3)/4 is: A. x/2 + 3/4.

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False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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The probability that they all are women is 0.0333 and that two of them are men is 0.50

There are 6 men and 4 women in your committee, that gives you a total of 10 people to choose from.

Without restrictions, there's a total of 10C3 ways to choose a subcommittee of 3 people.

a) A subcomitte of 3 people consisting of all women can be chosen in 6C0*4C3 ways.

So, the probability for the first problem is 6C0*4C3/10C3 = 0.0333

b) A subcommittee consisting of 2 men and 1 woman can be chosen in 6C2*4C1 ways.

So, the probability for this problem is 6C2*4C1/10C3 = 0.50.

Therefore, the probability that they all are women is 0.0333 and that two of them are men is 0.50.

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Disclaimer

the question given by you is incomplete, the answer is solved as per a similar question and the question is

A committee consist of six men and four women. A subcommittee is made by randomly choosing three of the committee members. What is the probability that: a. they are all women b. two of them are men?

Answer:

A. 0.28 miles

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

a

The sale was for a 43% decrease.

Step-by-step explanation:

The computation of the percent off of the coat during the sale is shown below:

Regular price is $35.25

And, in the sale the price is $19.99

So, the percent off would be

= ($35.25 - $19.99) ÷ ($19.99)

= 43% decrease

hence, the percent off of the coat during the sale is 43% decrease

Therefore the correct option is a.

And, all the other options are incorrect

Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

\( \boxed{d = -2} \)

Step-by-step explanation:

\(= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2\)

Hey there!

The answer is "\(12 * 16 = 20^2\), therefore the triangle is a \(right\) \(triangle\)"

This is known as the Pythagorean Theorem, meaning that \(a^2+b^2=c^2\), with \(a\) and \(b\) being the length of the shorter of the three sides, and \(c\) being the length of the hypotenuse, or the length of the longer of the three sides.

Have a super awesome day! :)

Answer:

This is your answer

Answer:

Step-by-step explanation:

hope it will help you

Answer:

-842

Step-by-step explanation:

We should find the sum of -1451 and 1267 and the sum of 1146 and -2172.

-1451 + 1267 = 1267 - 1451 = -184

1146 + (-2172) = 1146 - 2172 = -1026

Then we subtract -184 from -1026.

-1026 - (-184) = -1026 + 184 = -842

Answer:

\(m^{21}\)

Step-by-step explanation:

\((\frac{m^{13} }{m^{20}})^{-3} = (\frac{1}{m^7})^{-3}=(m^{-7})^{-3}=m^{(-7)*(-3)}=m^{21}\)