PLEASE help me I WILL MARK BRAINLIEST

Answer:

Step-by-step explanation:

Look at 3%2At%2B7=%28+-8+%29.

Moved these terms to the left  %28 +8+ %29

It becomes 3%2At%2B7%2B _green%28+8+%29=0.

Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.

Added fractions or integers together

It becomes 3%2At% 2B % 28+15+%29=0.

Look at highlight_red%28+3%2At%2B15+%29=0.

Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: t=-5.

Answer: t= -1/3

Step-by-step explanation:

3t+7=-8

subtract 7 from 7 and 8 (this cancels out the 7)

left with 3t = -1

divide 3 into 3t and -1

the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3

Answer:

36 cubic inches

Step-by-step explanation:

v=(3)(6)(2)=36

Hope this helps

Answer:6

Step-by-step explanation:

-7=s+(-13)

Open bracket

-7=s-13

Collect like terms

s=-7+13

s=6

Answer:

Hi! The answer to your question is y \(\geq\) -5

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

A = £1102.50

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here A = £1000·(1 + 0.05)^2, which evaluates to  A = £1102.50

0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.

Explanation:

0>1.

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Answer:

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

Step-by-step explanation:

Let

Hourly wage at the library = x

Hourly wage at the coffee cart = y

On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.

Hence:

3x + 2y = 36.5.... Equation 1

On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.

2x + 5y = 50...... Equation 2

Combining both Equations

3x + 2y = 36.5.... Equation 1

2x + 5y = 50...... Equation 2

We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x

6x + 4y = 73 .. Equation 3

6x + 15y = 150...... Equation 4

Subtract Equation 3 from Equation 4

11y = 77

y = 77/11

y = 7

Solving for x using Equation 2

2x + 5y = 50...... Equation 2

2x + 5 × 7 = 50

2x + 35 = 50

2x = 50-35

2x = 15

x = 15/2

x = 7.5

Therefore,

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

The constraint optimization problem can be solved by determining the expressions for x' and y' and confirming the second-order condition using the bordered Hessian Matrix. The value function and the Envelope Theorem can be used to analyze the effects of changes in income and prices on the optimal value of u(x, y).

To find the expressions for x' and y', we set up the Lagrangian function:

\(L(x, y, \lambda) = 2x^2 + y - \lambda (p_x * x + p_y * y - M)\)

Taking partial derivatives with respect to x, y, and λ, we get:

\(\partial L/\partial x = 4x - \lambda p_x = 0\\\partial L/\partial y = 1 - \lambda p_y = 0\\p_x * x + p_y * y = M\)

Solving these equations simultaneously, we find the optimal values of x and y. Differentiating the first-order conditions, we obtain the second derivative expressions, denoted as 2". The bordered Hessian matrix can be used to confirm the second-order condition for part (a).

To derive the value function, we substitute the optimal values of x and y into the utility function: u(x, y) = 2(x')² + y'.

Suppose the income increases by one unit. We can determine the effect on the optimal value of u(x, y) by using the value function and considering the change in the optimal values of x and y.

Applying the Envelope Theorem, we can evaluate the change in the optimal value of u(x, y) by taking the derivative of the value function with respect to income, while keeping the prices constant.

Similarly, if the price of y increases by one unit, we can analyze the impact on the optimal value of u(x, y) using the Envelope Theorem and considering the change in the optimal values of x and y, with the price of y denoted as p.

These steps will help us understand the changes in the optimal values of u(x, y) under different scenarios based on the given utility function, prices, and income.

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Answer:

the percentage is 100g divided by 5 to get 20

Answer:

Step-by-step explanation: a rate per 100 g packet

The present value of the lease is $15,067.28.

To calculate the present value, we can use the formula for the present value of an annuity:

PV = P * (1 - (1 + r)^(-n)) / r

Where:
PV = Present Value
P = Weekly payment amount ($85)
r = Interest rate per compounding period (4.85% / 52)
n = Total number of compounding periods (4 years * 52 weeks/year)

Plugging in the values, we have:

PV = 85 * (1 - (1 + 0.0485/52)^(-4*52)) / (0.0485/52)
PV ≈ $15,067.28

Therefore, the present value of the lease is approximately $15,067.28.

To find the present value, we need to discount the future payments made over 4 years back to the present. The formula for the present value of an annuity helps us calculate this. We substitute the values for the weekly payment amount, interest rate per compounding period, and total number of compounding periods into the formula. After evaluating the expression, we find that the present value of the lease is approximately $15,067.28.

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Answer:

$200

Step-by-step explanation:

First Change the percent to a decimal

In this case the percent was %8, change it into a decimal; 8%=.08

Next multiply 2,500 x .08  which gives you 200

The answer is $200! Hope this helps!.

Answer:

y + 2 = \(\frac{1}{5}\) (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{5}\) x - 4 ← is in slope- intercept form

with slope m = \(\frac{1}{5}\)

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = \(\frac{1}{5}\)(x - 10) , that is

y + 2 = \(\frac{1}{5}\)(x - 10) ← in point- slope form

The likelihood that the first question will be true is equally likely and unlikely.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

The teacher gave a true and false quiz where P(true) = 0.5 for each question.
From the above-given probability, it can be interpreted that the likelihood of giving a true answer is 50% and this is the same for the given wrong answer. So the likelihood that the first question will be true is equally likely and unlikely.

Thus, the likelihood that the first question will be true is equally likely and unlikely

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Answer:

The likelihood that the first question will be true is equally likely and unlikely.

Step-by-step explanation:

Step-by-step explanation:

Range = Largest number in list - Smallest Number in list

\( = 7 - ( - 3) \\ = 7 + 3 \\ = 10\)

Answer:

10

Step-by-step explanation:

7 - (- 3) =

7 + 3 =

10

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

60

Step-by-step explanation:

3x2=6

2x5=10

6x10=60

????

cos(2 x) + 2 = sin(x)

Solve for x over the real numbers:

sin(x) - cos(2 x) = 2

Transform sin(x) - cos(2 x) into a polynomial with respect to sin(x) using cos(2 x) = 1 - 2 sin^2(x):

-1 + sin(x) + 2 sin^2(x) = 2

Divide both sides by 2:

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

Add 1/2 to both sides:

sin(x)/2 + sin^2(x) = 3/2

Add 1/16 to both sides:

1/16 + sin(x)/2 + sin^2(x) = 25/16

Write the left hand side as a square:

(sin(x) + 1/4)^2 = 25/16

Take the square root of both sides:

sin(x) + 1/4 = 5/4 or sin(x) + 1/4 = -5/4

Subtract 1/4 from both sides:

sin(x) = 1 or sin(x) + 1/4 = -5/4

Take the inverse sine of both sides:

x = 2 π n + π/2 for n element Z

or sin(x) + 1/4 = -5/4

Subtract 1/4 from both sides:

x = 2 π n + π/2 for n element Z

or sin(x) = -3/2

sin(x) = -3/2 has no solution since for all x element R, -1<=sin(x)<=1 and -3/2<-1:

Answer: |

| x = 2 π n + π/2 for n element Z

x = 1/2 (4 π n + π) n element Z

Answer:

(4 ± 2\(\sqrt{22} \)) ÷ 4

Step-by-step explanation:

i changed equation to be 2x² - 4x - 9 = 0

i used the quadratic formula:  (-b ± \(\sqrt{b^2-4ac} \)) ÷ 2a

where:

a = 2

b = -4

c = -9

How likely something is to occur is known as its probability.Probability when die rolled 1st time is 6C1 i.e. (1,2,3,4,5,6).

How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.

Probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6) suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.

so 2nd time probability=5C1 i.e. (2,3,4,5,6). same way 3rd and 4th time probability=4C1 and 3C1 respectively.Probability that no one rolls the same no. = 6*5*4*3and total possibility =6^4 

p(same number)= 6*5*4*3/ 6^4

= 5/18

p(no same number will roll)=1-5/18

=13/18

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On August 31, 2021, Carla Vista Company's head at Lash balarke per its bouks of $27,6 BD. The bank statement on that date showed its balance of $17,110.

A comparison of the bank statement with the checkbook reveals that the bank charged Carla Vista for check number 532 for $125 that was incorrectly written for $225.

Carla Vista recorded a deposit in the checkbook on August 31 for $600, which was not recorded by the bank until September 1.

There is also a $25 bank fee that was listed on the bank statement but was not yet recorded in the checkbook.

In this case, the book balance of $27,600 in Carla Vista Company's checkbook on August 31, 2021, does not match the bank balance of $17,610.

First, the bank statement should be adjusted to reflect the actual cash balance of $27,600, and the checkbook should be adjusted to reflect the adjusted bank balance of $17,610.

To calculate the adjusted cash balance of $27,600, we must add the $125 bank error, the $600 deposit, and subtract the $25 bank fee from the bank statement balance of $17,110.

The calculation is as follows:

Bank statement balance on August 31, 2021: $17,110

Add: Bank error (check no. 532) : $125

Add: Deposit in transit (August 31): $600

Subtract: Bank fee: $25Adjusted bank balance: $17,810

The adjusted bank balance of $17,810 should now be compared to the book balance to see if they match or not.

To calculate the adjusted book balance, the checkbook needs to be adjusted for the bank error and deposit in transit and subtracting the bank fee, which is not yet recorded in the checkbook.

The calculation is as follows:

Book balance on August 31, 2021: $27,600

Add: Deposit in transit (August 31): $600

Less: Bank error (check no. 532) : $125

Less: Bank fee: $25

Adjusted book balance: $28,050

As we can see, the adjusted book balance is higher than the adjusted bank balance, indicating that the company's checkbook balance is overstated by $240.

Therefore, a correction must be made in the checkbook by reducing the book balance by $240 to match the adjusted bank balance of $17,810.

To conclude, the adjusted bank balance is $17,810, and the adjusted book balance is $28,050. The difference between the two balances is due to the bank error in check number 532, the deposit in transit that was not recorded by the bank until September 1, and the bank fee. The company's checkbook balance is overstated by $240, and a correction needs to be made to match the adjusted bank balance.

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Answer:

because 75 is a larger number

Step-by-step explanation:

eg. 1% of 100 is 1, but 1% of 50 is 0.5

Transformation involves changing the coordinates of a point

The coordinates of the image of P is (9,13)

The coordinate of P is given as:

P = (-13,9)

The rule of reflecting the point over the line y = -x is represented as:

\((x,y) \to (y,-x)\)

So, we have:

\((-13,9) \to (9,13)\)

This means that:

\(P' = (9,13)\)

Hence, the coordinates of the image of P is (9,13)

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Answer:

3(2) - 5 = 1

Step-by-step explanation:

y = 3x - 5

(x, y)

plug x and y in

1 = 3(2) - 5

1 = 6 - 5

1 = 1

true

The extrema of f(x, y, z) = x - y + z subject to x^2 + y^2 + z^2 = 2 are given by the solutions of the equations 1 - 2λx = 0, -1 - 2λy = 0, 1 - 2λz = 0, and x^2 + y^2 + z^2 - 2 = 0.

To find the extrema of f(x, y, z) = x - y + z, subject to the constraint x^2 + y^2 + z^2 = 2, we can use the method of Lagrange multipliers.

This involves finding the critical points of the function L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z) - c), where g(x, y, z) is the constraint function (in this case, g(x, y, z) = x^2 + y^2 + z^2 and c = 2) and λ is a Lagrange multiplier.

To find the extrema of f(x, y) = x - y, subject to the constraint x^2 - y^2 = 2, we can again use the method of Lagrange multipliers.

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Upto 5 hours companies will charge at the same price.

Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.

Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.

Based on the given condition ,

equation is 150 + 40x = 200 + 30x

40x - 30x = 200 - 150

10x = 200 -150

10x = 50

x =\(\frac{50}{10}\)

x = 5

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Step-by-step explanation:

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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