If the perimeter of a rectangle is 34 cm and the area is 66 square cm, then what are the dimensions of the rectangle

Answer:

8.277

Step-by-step explanation:

Pretty simple, just add up the values but convert the word form into decimals.

\(6+2.2+0.033+0.044=8.277\)

Also, your question said 33 thousandths, so it is what I answered.

Answer:

8.277

Step-by-step explanation:

12 teaspoons do not equate to 1/4 cup, though.

In measure 4 tablespoons, or 4 x 3 teaspoons, equals 12 teaspoons, or 1/4 cup.

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently. Additionally, in that it requires a specific number of items to complete a specific task. We frequently encounter many measurement kinds for length, weight, times, etc. in our daily lives.

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Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

The value of the integral is 1/3.

Parameterize the path C using three line segments:

Segment 1: r(t) = (0, t), 0 <= t <= 1

Segment 2: r(t) = (t, 1), 0 <= t <= 1

Segment 3: r(t) = (t, 1-t), 0 <= t <= 1

Compute the line integrals along each segment:

Integral over segment 1: int(0 to 1) [(0^2 - t^2) dx + (0 * t) dy] = -1/3

Integral over segment 2: int(0 to 1) [(t^2 - 1) dx + (t * 1) dy] = 1/3

Integral over segment 3: int(0 to 1) [(2t - 1) dx + (1 - 2t) dy] = 0

Add up the line integrals to get the total value: (-1/3) + (1/3) + 0 = 1/3.

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Answer:

  3.  · (times)

Step-by-step explanation:

You want to know the operation that will give a binomial result from the expressions (3y^6 +4) and (9y^12 -12y^6 +16).

The like terms in the two expressions are 3y^6 and -12y^6, or +4 and +16. Combining these terms by addition or subtraction will not result in the elimination of either the y^6 term or the constant term. Hence addition or subtraction cannot result in a binomial.

We know that the sum of cubes is factored into the product of a binomial and a trinomial:

  a³ +b³ = (a +b)(a² -ab +b²)

Comparing this form to the given binomial and trinomial, we see that we can choose ...

  a = 3y^6

  b = 4

to make the given factors match exactly. That tells us their product will be a binomial sum:

  (3y^6 +4) × (9y^12 -12y^6 +16) = (3y^6)^3 +(4)^3 = 27y^18 +64

The operation "times" (·) will result in a binomial.

Answer:

3

hope this helps

Answer:

3

Step-by-step explanation:

A negative plus a positive adds closer to zero, so negative five plus twelve is seven. A positive minus a positive is going closer towards zero, so there.

So, your answer is three!

Answer:

Note that I slightly misread the question and in the steps below found the answer to the nearest thousandth.  To the nearest hundredth though, the rectangle has a length of 6.69cm, and a width of 1.35 cm.

Step-by-step explanation:

We are told that the rectangle has an area of nine square centimetres, and that it's length is 4 centimetres more than twice its width. We can express those as:

\(a = 9cm^2\)

and

\(l = 2w + 4\)

We also know that the area of a rectangle is its length times its width:

\(a = l \times w\)

We can take that last expression, and plug in the other two, to solve for w

\(a = l \times w\\9 = (2w + 4) \times w\\9 = w(2w + 4) \\9 = 2w^2 + 4w\\4.5 = w^2 + 2w\\5.5 = w^2 + 2w + 1\\5.5 = (w + 1)^2\\w + 1 = \sqrt{5.5}\\w = \sqrt{5.5} - 1\\w \approx 2.345 - 1\\w \approx 1.345\)

We can then plug that into expression "l = 2w + 4" to find the length:

\(l = 2w + 4\\l = 2(\sqrt{5.5} - 1) + 4\\l = 2 * \sqrt{5.5} - 2 + 4\\l = \sqrt{4} * \sqrt{5.5} + 2\\l = \sqrt{22} + 2\\l \approx 4.690 + 2\\l \approx 6.690\)

Now let's see if we have that right, we can multiply these and see if we get an area of 9:

\(1.345 \times 6.690 \approx 8.998\\\)

Which after accounting for rounding errors is matches the 9 square centimetres.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

\(\large\boxed{\textsf{The Circumference is the Perimeter of the circle.}}\)

Step-by-step explanation:

\(\textsf{We are asked to identfy what the Circumference is.}}\)

\(\Large\underline{\textsf{What is the Circumference?}}\)

\(\textsf{The Circumference is a fancy word to describe the sum of the arcs of a circle.}\)

\(\textsf{The total of the area 'on' the circle is commonly referred to as the Perimeter.}\)

\(\mathtt{Circumference = (diameter)\pi }\)

Answer: {y,x}={2,8}

// Solve equation [2] for the variable  y

 [2]    y = -2x + 18

// Plug this in for variable  y  in equation [1]

  [1]    (-2x+18) - x = -6

  [1]     - 3x = -24

// Solve equation [1] for the variable  x

  [1]    3x = 24

  [1]    x = 8

// By now we know this much :

   y = -2x+18

   x = 8

// Use the  x  value to solve for  y

   y = -2(8)+18 = 2

Solution :

{y,x} = {2,8}

The linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

Cubic equations are polynomials of third grade, whose standard and factor forms are shown below:

Standard form

y = a · x³ + b · x² + c · x + d

Factor form

y = (x - r₁) · (x - r₂) · (x - r₃)

Where r₁, r₂, r₃ are the zeros of the cubic equation.

There are several approaches to find the roots of the polynomial, in this question we decided to use the graphical approach, which offers sufficiency and quickness for analysis. The roots of the polynomials are the points that pass through the x-axis.

In accordance with the image attached below, the polynomial has three real roots: r₁ = - 20, r₂ = - 5, r₃ = 15. Then, the linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).

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Answer:

5 dollars

Step-by-step explanation:

Answer:

The price of an adult ticket is $5

Step-by-step explanation:

5*5=25

31-25=6

4*5=20

62-20=42

42÷7=6

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

Frankie worked at the gas station for four months. He earned $4,800.00 and

must pay a total of 12% in income taxes. What is his net pay if there are no

additional deductions?



A. 576.00

B.5,376.00

C.3,600.00

D.4,224.00​

we have that

12%=12/100=0.12

Multiply $4,800.00 by 0.12

$4,800.00*0.12=$576.00

Answer:

(0,0) , (a,b) , (2a,2b) is the answer

Step-by-step explanation:

for a triangle to be isosceles, then two sides must be equal

To picture this, if we have a point at the origin, with coordinate (0,0); we can have the coordinates of the other points being the same so as to make the distance from the origin the same

Then from here, we can get that the length of the two sides are equal

From what we have, option 4 can be correct

This is because , finding the distance between two points is;

D = √(x2-x1)^2 + (y2-y1)^2

From what we have

The distance between (0,0) and (a,b) will give same answer for the distance between (a,b) and (2a,2b)

Given that MNPQ is a rectangle with verticles M(3, 4), N(1, -6), and P(6, -7), to find the coordinates of point Q, we can use the fact that opposite sides of a rectangle are parallel and have equal lengths.

First, let's find the vector MN and MP:

MN = N - M = (1 - 3, -6 - 4) = (-2, -10)
MP = P - M = (6 - 3, -7 - 4) = (3, -11)

Now, let's add the vector MN to point P:

Q = P + MN = (6 + (-2), -7 + (-10)) = (4, -17)

Therefore, the coordinates of point Q that make MNPQ a rectangle are Q(4, -17).


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The amount payback by the woman on a loan of 120,000 at an interest rate of 11,000 per month is 131,000.

The given data in the question is as follows:A bank gives a woman a loan of 120,000She has to pay back 11,000 per month Now we have to find the amount payback. We know that the loan given by the bank is 120,000. Therefore, the total amount that has to be paid back can be calculated as follows:Total amount payback = Loan + Interest Hence,Total amount payback = 120,000 + 11,000Total amount payback = 131,000Therefore, the amount payback by the woman on a loan of 120,000 at an interest rate of 11,000 per month is 131,000.

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To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:

YD = Y - T

Since C and T are constant, we can write:

YD = (c0 + c1YD) - (t0 + t1Y)

Now, we can rearrange the equation to isolate YD:

YD = c0 + c1YD - t0 - t1Y

Simplifying further:

YD - c1YD = c0 - t0 - t1Y

Factoring out YD:

YD(1 - c1) = c0 - t0 - t1Y

Dividing both sides by (1 - c1):

YD = (c0 - t0 - t1Y) / (1 - c1)

Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.

If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.

If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.

A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.

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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

In equilibrium, taxes can be solved using the given equations:

C = c₀ + c₁YD

T = t₀+ t₁Y

YD = Y – T

To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:

T = t₀ + t₁YD

Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).

When c₀ decreases, it means that the intercept of the consumption function (C) decreases.

This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).

The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).

Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).

Next, let's consider the effect of a government spending cut to balance the budget.

When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).

This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).

However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).

Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

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The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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she would have to buy 250 pounds of meet

The graph of g has a period 9 times as long as f, and g has an amplitude 1/9 that of f.

The relationship between the graphs of f(x) = cos(x) and g(x) = cos(9x) can be described in terms of amplitude, period, and shifts.

Amplitude: The amplitude of a cosine function determines the maximum vertical distance it reaches from the midline. For f(x) = cos(x), the amplitude is 1. For g(x) = cos(9x), the amplitude is 1/9. Therefore, the amplitude of g is 1/9 that of f.

Period: The period of a cosine function is the length of one complete cycle. For f(x) = cos(x), the period is 2π. For g(x) = cos(9x), the period is 2π/9. Thus, the period of g is 9 times as long as the period of f.

Shift: There is no shift in the horizontal direction for either f or g since the argument of the cosine function remains the same. However, the graph of g(x) = cos(9x) is shifted 9 units upward compared to f(x) = cos(x) in the vertical direction.

In summary, the graph of g(x) = cos(9x) has a period 9 times as long as f(x) = cos(x) and an amplitude 1/9 that of f(x). Additionally, g(x) is shifted 9 units up compared to f(x).

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Answer:

2.5 B

Step-by-step explanation:

The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

To perform u-substitution with indefinite integrals, follow these steps:

Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.

Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.

Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.

Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.

Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.

Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.

Let's illustrate these steps with an example:

Consider the integral ∫(2x + 3)² dx.

Identify a suitable substitution: Let u = 2x + 3.

Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.

Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).

Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.

Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.

Simplify and solve: Further simplify the expression if necessary to obtain the final result.

In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

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Answer:

In the first law, an object will not change its motion unless a force acts on it.

In the second law, the force on an object is equal to its mass times its acceleration.

In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Step-by-step explanation:

Hope this helped!

also if you want can you answer my two most recent questions :))

Answer:

In the first law, an object will not change its motion unless a force acts on it.

In the second law, the force on an object is equal to its mass times its acceleration.

In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction

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