PLEASE HELP !! (Sorry if the picture is blurry) ....Amanda is baking cookies for a holiday party. She wants to bake more cookies then she did for last years party. Last year she baked 24 gingerbread cookies and 36 chocolate chip cookies. Which of these represent x, the total number of cookies Amanda must bake to beat last years total? Choose all that are correct.

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Using the distance between two points to find the side lengths, the area of the parallelogram is of 60.3 square units.

The area of a parallelogram of dimensions l and w is given by the multiplication of these dimensions, that is:

A = lw.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Hence, for this problem, the side lengths are:

Hence:

l = 6, w = 10.05, and:

A = 6 x 10.05 = 60.3.

The area of the parallelogram is of 60.3 square units.

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Answer:

d 812 821 here is the answer

The equation that represents the situation is 0.75x + 0.8(x + 10) = 101 (fourth option).

The form of the linear equation that represents the information in the question:

amount of shots made by Jared + amount of shots made by Zach = total number of shots

( points made by Jared x 75) + ( points scored by Jared + 0.8( scores attempted by Jared + 10)

0.75x + 0.80(x + 10) = 101

0.75x + 0.80x + 8 = 101

0.75x + 0.80x = 101 - 8

93 = 1.55x

x = 93 / 1.55

x = 60

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Answer:

It should be c

Step-by-step explanation:

Your formula is

Number of color ball/total ball

so 8/20 x 7/19 x 3/18 then convert to fraction

The probability the first ball is red is 0.4 or 8/20 or 2/5

The probability the next is blue is 7/19

The probability of the next being white is 6/18 or 1/3.

Multiply them together because these are independent events that must all occur and we get 2*7*1= 14 as the numerator

5*19*3=285 for a total probability of 14/285.

Answer: $88.90

Step-by-step explanation:

$39.95 x 2 + 0.06 x 150

Answer:

Hint: Functions have ONLY 1 domain for each range.

If the table has two input values, x, for 1 output value, y, the table is not a function.

Step-by-step explanation:

Therefore, the table to the bottom left is considered a function. All other tables are simply relations.

solución:

A=1450cm²

~~~~~~~~~~~~~

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = \(\frac{22}{7}\)

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  \(\frac{22}{7}\) × (3.5)²

48 = Ф/360  ×  \(\frac{22}{7}\) ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

Answer:

y = 2

Step-by-step explanation:

x= -1+y

2x-y=0

2(-1+y)-y=0

-2+2y-y=0

-2+y=0

-2+2+y=0+2

y=2

hope it's helpful ❤❤❤❤

THANK YOU.

#

Answer:

\(2( - 1 + y) - y = 0 \\ - 2 + 2y -y = 0 \\ y = 0 + 2 \\ y = 2 \\ x = - 2\)

Answer:

3/5 is equal to 0.6   multiply 0.6 by 6... subtract 3.6 from 15 and subtract one more bag because Johan took one whole bag of chips... there would be 10.4 bags of chips (about 10.5 bags of chips left).

Sorry nobody didn't answer your question yesterday... Hope I'm not too late...

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

1)

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Hope this helps! (:

Answer:

x= 6  x= -2

Step-by-step explanation:

x^2-4x-12=0

What 2 numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6)(x+2) = 0

Using the zero product property

x-6 =0  x+2 =0

x= 6  x= -2

Answer:

it has to be 12*16=10*10+10*2+10*6+2*6=100+20+60+12=192

Step-by-step explanation:

Answer:

$0.70

Step-by-step explanation:

Divide to find the unit rate.

3.5 / 100 = 0.035

Multiply.

0.035 * 20 = 0.7

Best of Luck!

Answer:

20 pencils will cost $0.70.

Step-by-step explanation:

3.5/100=x/20

cross product

100*x=3.5*20

100x=70

x=70/100

x=7/10

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The average deviation of predicted DVD sales from the actual is 12.2279 million dollars. F-critical value is 4.0785>4.0785 we can reject the null hypothesis. The 95% confidence interval is (17.1536, 25.1554). The 95% prediction interval for the given value of x is (-3.8623, 46.1713).

Estimate the level of DVD sales for movies, by using the amount of annual revenue  generated by the box office gross

We randomly selected a sample of 43 movies for the same year.

Excel  α = 0.05,  r^2 = 0.5123

=51.23%

51.23% of the DVD sales variation is explained by annual revenue.

SY.X = 12.2279.

Therefore, the average deviation of predicted DVD sales from the actual is 12.2279 million dollars.

b. The hypothesis being tested is:

Null Hypothesis, H0: β1 = 0

Alternative Hypothesis, H1: β1 ≠ 0

The test statistic, F = (6439.6133/1)/((12570.025 - 6439.6133)/(42 - 1)) = 43.07

The F-critical value is 4.0785.

Since 43.07 > 4.0785, we can reject the null hypothesis.

Therefore, we can conclude that there is a linear relationship between the revenues of DVD sales and the box-office gross.

c. y = bo + b1*x

y = 4.8445 + 0.1631*x

Put x = 100

y = 4.8445 + 0.1631*100 = 21.1545

The 95% confidence interval for the given value of x is:

= y ± t*s*\(\sqrt{0.026249}\)

= 21.1545 ± 2.020*12.2279*\(\sqrt{0.026249}\)

= (17.1536, 25.1554)

d.  The 95% prediction interval for the given value of x is:

= y ± t×s×\(\sqrt{}\)1 + hin [The t-value is calculated using =TINV(0.05,42-1) in Excel]

= 21.1545 ± 2.020*12.2279*\(\sqrt{1 + 0.026249}\)

= (-3.8623, 46.1713)

Therefore, the value is (-3.8623, 46.1713).

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Answer:

5.8 miles

Step-by-step explanation:

Distance of library(3, 2) to the supermarket (6, 7) using distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Where,

\( (3, 2) = (x_1, y_1) \)

\( (6, 7) = (x_2, y_2) \)

Plug in the values into the formula

\( d = \sqrt{(6 - 3)^2 + (7 - 2)^2} \)

\( d = \sqrt{(3)^2 + (5)^2} \)

\( d = \sqrt{9 + 25} \)

\( d = \sqrt{34} = 5.8 miles \) (nearest tenth).

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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2) chromosomes

Step-by-step explanation:

"In the nucleus of each cell, the DNA molecule is packaged into thread-like structures called chromosomes" explanation from g.

Answer:

slope of l is 1

slope of k is 2

Step-by-step explanation:

slope=y/x

Answer:

can someone  answer this question for me plz.

Step-by-step explanation:

i will mark brainliest and give points if wanted

Answer:

Subtract than divide

Step-by-step explanation:

Answer:

Step-by-step explanation:

just plot the given data on graph

Answer:

Slope is 3

Step-by-step explanation:

Starting from the point (0,0) move up 3 and over 1. That gives you the slope of 3 over 1 or 3. Slope is rise over run.