what is an equation or step by step for this question, please. equation for the graph, where y depends on x.

Answer:

use cymath it really helps with finding slopes

Step-by-step explanation:

Answer:

The width of the vegetable garden is 3 feet.

Step-by-step explanation:

12 ÷ 4 = 3

Answer:

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

Step-by-step explanation:

The credit card holder paid an additional D. $559.56 over the 12 months versus paying the balance in full before the end of the first month.

How is the additional payment determined?

The additional payment made by the credit card holder results from paying installments instead of clearing the balance in the first month.

Installment plans attract finance charges at an annual percentage rate (APR), which increases the total amount paid.

Therefore, the additional payment is the difference between the total installment payments and the credit card balance at the beginning of the first month.

N (# of periods) = 12 months

I/Y (Interest per year) = 11.99%

PV (Present Value) = $6,299.59

PMT (Periodic Payment) = $-350

Results:

FV = $3,009.15

Sum of all periodic payments = $3,850 ($350 x 11)

Total Interest = $559.57

The total amount paid over the 12 months = $6,859.15 ($3,009.15 + $3,850)

The total amount paid in full in the first month = $6,299.59

Additional payment made via installments = $559.56 ($6,859.15 - $6,299.59)

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

18

Step-by-step explanation:

2a

Let a = 9

2*9

18

ANSWER:

a)

b)

EXPLANATION:

Given:

a) When x = -4, let's go ahead and solve for y;

When x = 0, let's go ahead and solve for y;

When x = 4, let's go ahead and solve for y;

b) Using the above values, we can go ahead and the equation as seen below;

Answer: 15 min each chore

Step-by-step explanation: 60 divided by 4 = 15

Answer:

15 minutes per chore.

Step-by-step explanation:

An hour is made up of 60 minutes. 60 divided by 4 is 15. 15 minutes can also be referred to as "a quarter of an hour".

Answer:

750 - y(y-5) = 0

Step-by-step explanation:

Area is Length times width.  In a rectangle we have two lengths and 2 widths.

We can use y to represent the length.  The width would be y-5.

Area = LW

750 = y(y-5) or another way to write this is

750 - Y(y-5) = 0

Answer:

C. $240

Step-by-step explanation:

30% as a decimal is 0.3

multiply the percent (aka 0.3) by the paycheck (800)

0.3 * 800 = 240

your answer is $240

hope this helps:)

Answer:

(a) The next tide will occur at 6:55pm

(b) \(y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74\)

(c) The height is: 2.904ft

Step-by-step explanation:

Given

\(T_1 = 12hr:25min\) --- difference between high tides'

Solving (a): The next time a high tide will occur

From the question, we have that:

\(High =6:30am\) --- The time a high tide occur

The next time it will occur is the sum of High and T1

i.e.

\(Next = High + T_1\)

\(Next = 6:30am + 12hr : 25min\)

Add the minutes

\(Next = 6:55am + 12hr\)

Add the hours

\(Next = 6:55pm\)

Solving (b): The sinusoidal function

Given

\(High\ Tide = 5.86\)

\(Low\ Tide = -0.38\)

\(T = 12hr:25min\) -- difference between consecutive tides

\(Shift = 6.5hr\)

The sinusoidal function is represented as:

\(y = A\cos(w(x - C)) + B\)

Where

\(A = Amplitude\)

\(A = \frac{1}{2}(High\ Tide - Low\ Tide)\)

\(A = \frac{1}{2}(5.86 - -0.38)\)

\(A = \frac{1}{2}(6.24)\)

\(A = 3.12\)

\(B = Mean\)

\(B = \frac{1}{2}(High\ Tide + Low\ Tide)\)

\(B = \frac{1}{2}(5.86 - 0.38)\)

\(B = \frac{1}{2}(5.48)\)

\(B = 2.74\)

\(w = Period\)

\(w = \frac{2\pi}{T}\)

\(w = \frac{2\pi}{12:25}\)

Convert to hours

\(w = \frac{2\pi}{12\frac{25}{60}}\)

Simplify

\(w = \frac{2\pi}{12\frac{5}{12}}\)

As improper fraction

\(w = \frac{2\pi}{\frac{149}{12}}\)

Rewrite as:

\(w = \frac{2\pi*12}{149}\)

\(w = \frac{24\pi}{149}\)

\(C = shift\)

\(C=6.5\)

So, we have:

\(y = A\cos(w(x - C)) + B\)

\(y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74\)

Solving (c): The height at 3pm

At 3pm, the value of x is:

\(x=3:00pm - 6:30am\)

\(x=9.5hrs\)

So, we have:

\(y = 3.12 \cos(\frac{24\pi}{149}(x - 6.5)) + 2.74\)

\(y = 3.12 \cos(\frac{24\pi}{149}(9.5 - 6.5)) + 2.74\)

\(y = 3.12 \cos(\frac{24\pi}{149}(3)) + 2.74\)

\(y = 3.12 \cos(\frac{72\pi}{149}) + 2.74\)

\(y = 3.12 *0.0527 + 2.74\)

\(y = 2.904ft\)

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

Answer:

b). Commutative property

Step-by-step explanation:

The trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.

The sum of the interior angles of a quadrilateral is equal to 360°, so the sum of angles, m∠A, m∠B, m∠C, and m∠D is equal to 360°.

2x - 19 + x + 17 + 3x + 7 + 2x - 37 = 360°

8x - 32 = 360°

8x = 360° + 32°

8x = 392

x = 392/8 {divide through by 8}

x = 49

m∠A = 2(49) - 19 = 79°

m∠A = 49 + 17 = 66°

Therefore, the trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.

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The solution is region 8 tables and 0 chairs. By making and selling 8 tables, the carpenter will work for 40 hours and make $800. This is his maximum profit.

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula

P(X=x|B) = P(X=x and B)/P(B).

Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:

P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.

Therefore, the conditional PMF P X∣B (x) is given by:

P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13

(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.

(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.

(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:

P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...

(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.

(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.

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Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation:

Answer:

(-4,-3)

Step-by-step explanation:

When a point (x,y) is reflected over the x-axis, you take the opposite so it becomes (x,-y).

(-4,3) --> (-4,-3)

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:Width  

= 10 meters

Length  

= 15 meters

Step-by-step explanation:

Given:

Width  = x

Length  = 2 x − 5

Perimeter  = 50

Perimeter = 2 × length + 2 × width

Substitute: 50 = 2 ( 2 x − 5 ) + 2 ( x )

Simplify: 50 = 4 x − 10 + 2 x 50 = 6 x − 10  60 = 6 x   = 10

Substitute (FINALLY)

Width: x = 10  

So width  = 10 meters

Length: 2 x − 5 = 2 ( 10 ) − 5  = 20 − 5 = 15

So length  = 15 meters

Answer:

A

Step-by-step explanation:

She earns $15 per poinsettia.

Answer:

60

Step-by-step explanation:

I times 20 x 3 = 60 because each days us 3 and I use my fingers to count

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)