Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!) 2 in to 2 ft PLEASE HELP

Answer:

Ignoring unwritten factors of 1, what is the sum of the numerical factors in the expression below?

−4(x−2)+(x−2)7−(x+5)(x−2)+(x−2)9+(−3)(x−2)

(1 point)

Step-by-step explanation:

The sum is 5

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:15.35

Step-by-step explanation:

knowing 7 bags is 21.49 we can divided 21.49 dollars by the amount of bags we have to get how much money is one bag which is 3.07 so after that we multiply by 5 for 5 bags and get our answer 15.35

The conditions on the positive numbers a, b, c, and d that will guarantee that every difference at every step in the expansion (a-b)(c-d) results in a positive number are:

1. a > b
2. c > d

This will ensure that the difference between a and b, as well as the difference between c and d, are both positive numbers. Therefore, when these two differences are multiplied together in the expansion (a-b)(c-d), the result will be a positive number.

For example, if a=5, b=2, c=8, and d=3, then the expansion (a-b)(c-d) will result in a positive number:

(5-2)(8-3) = (3)(5) = 15

As long as the conditions a > b and c > d are met, the expansion (a-b)(c-d) will result in a positive number.

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The holes have a combined positional tolerance equal to the difference between the high limit of the feature of size (h) and the low limit of the feature of size (f).

When using the formula t = h - f to calculate one position tolerance value for both parts in a floating fastener condition, the "holes" refer to the feature of size that accommodates the fastener.

In this context, the combined positional tolerance of the holes is determined by subtracting the low limit of the feature of size (f) from the high limit of the feature of size (h), resulting in the value represented by "t".

This formula allows for the determination of a single tolerance value that accounts for the positional variation of both parts in relation to the fastener.

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Answer:

scatter chart

Step-by-step explanation:

Bar chart charts information horizontally. Option C is correct.

Given that,
To determine which type of chart charts information horizontally.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The only chart that charts information horizontally is a horizontal bar chart. Which is a type of bar chart so the correct option would be a bar chart.

Thus, Bar chart charts information horizontally. Option C is correct.

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In the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

Given that,
To write a true statement about the relationship between the line segments and angle measures when a translation is applied to a preimage.

The line is a curve showing the shortest distance between 2 points.

The angle can be defined as the one line inclined over another line.

Here,
The translation is a process, in which the same figure with the same orientation shifted its position which does not affect the orientation or size to the preimage,

Thus, in the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

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SOLUTION:

Step 1:

In this question, we are given the following:

Why don’t the properties of parallelograms applied to trapezoids?

Step 2:

The details of the solution are as follows:

A parallelogram cannot be a trapezium as a parallelogram has one pair of opposite sides parallel and equal to each other, while a trapezium has only one pair of opposite sides parallel to each other, not equal.

A trapezium is not a parallelogram because a parallelogram has 2 pairs of parallel sides. But a trapezium only has 1 pair of parallel sides.

Answer:

Slope = 4 and y-intercept = 1

Step-by-step explanation:

→ To find the slope, look at the value before the x

4

→ To find the y-intercept, make x = 0 then the answer is the y-intercept

1

Answer:

X=-1/4 or y=1

Step-by-step explanation:

0=4x+1

-4x=1x=-1/4

y=4×0+1

y=1

Answer:

75 dollars.

Step-by-step explanation:

Each person costs 25 dollars and p=3 we just put this into a equation.

25 × 3 = 75

C = 75

Answer:

b = 3

Step-by-step explanation:

Simplify 4b - 3b + 7 = 10

b + 7 = 10

Subtract 7 from both sides

b = 10 -7

Simplify 10 -7 to 3

b = 3

Hope this helps!

-Jerc

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

Step-by-step explanation:

y - 9 = 3(x - 0)

y - 9 = 3x - 0

y = 3x + 9

Answer:

Step-by-step explanation:

This is a trick question,  about the red marks again.   those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same.  That is  ,  D and E are equal

so set up your equations with that info

180 = 84 +2p

now use your algebra skillz to solve

180-84 / 2 = p

96/2 = p

48 = p

see??

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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Answer:

its B

Step-by-step explanation:

Answer:

i got A for both of them ^^

for #1 you would do 8(1/2÷2)-(1/4+4)

and for #2 its 7(2.5) - (12/3+6)

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

Answer:

Part A:

Let's assume the width of the garden is x. The length is 4 feet longer than the width, so it's (x+4). The area is 60 sq ft, so the equation is: x^2 + 4x - 60 = 0.

Part B:

To solve for x, we factor the equation: (x+10)(x-6) = 0. The width can't be negative, so x=6. The length is x+4=10. The garden is 10ft by 6ft.

the general solution of the given differential equation is y(t) = C1 + C2t + C3t^2 + C4cos(t) + C5sin(t) + C6tcos(t) + C7tsin(t), where C1, C2, C3, C4, C5, C6, and C7 are arbitrary constants.

To find the general solution of the given differential equation, we need to solve for the homogeneous solution and then find a particular solution. The homogeneous solution is obtained by setting the right-hand side of the equation to zero.

The characteristic equation for the homogeneous equation is r^6 + r^3 = 0. By factoring out r^3, we get r^3(r^3 + 1) = 0. This equation has roots r = 0 and r = ±i, where i is the imaginary unit. Thus, the homogeneous solution is y_h(t) = C1 + C2cos(t) + C3sin(t) + C4t^3 + C5t^3cos(t) + C6t^3sin(t), where C1, C2, C3, C4, C5, and C6 are constants.

To find the particular solution, we use the method of undetermined coefficients. Since the right-hand side of the equation is t, we assume a particular solution of the form y_p(t) = C7t + C8. Differentiating this expression six times and substituting it into the differential equation, we solve for the coefficients C7 and C8. We obtain C7 = 1 and C8 = 0.

Therefore, the general solution of the given differential equation is y(t) = C1 + C2t + C3t^2 + C4cos(t) + C5sin(t) + C6tcos(t) + C7tsin(t), where C1, C2, C3, C4, C5, C6, and C7 are arbitrary constants.

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Answer:

  B.  2l+2w=108; l =2w-3

Step-by-step explanation:

You want the system of equations that expresses the relationships ...

Letting l and w represent length and width, respectively, the relations are ...

  108 = 2l +2w . . . . . the perimeter is 108 inches

  l = 2w -3 . . . . . . . . the length is 3 less than twice the width

__

Additional comment

The first equation makes use of the perimeter equation for a rectangle:

  P = 2l +2w

Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

The expression that might be utilised to determine Samantha's monthly salary, m, is 462.30m.

This expression represents the product of the amount Samantha earns per month ($462.30) and the number of months she works (m). When you multiply these two values, you get the total amount she earns working any number of months. For example, if she works for 3 months, the expression would be:

462.30 x 3 = 1386.90

So, Samantha would earn $1386.90 for working 3 months. Similarly, if she works for 6 months, the expression would be:

462.30 x 6 = 2773.80

So, Samantha would earn $2773.80 for working 6 months.

In general, the expression 462.30m represents a linear relationship between the amount Samantha earns and the number of months she works. As the number of months increases, the amount she earns also increases proportionally. This is because her earnings are directly proportional to the amount of time she works.

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The solution to the system of equations is (x,y) = (1.25, -2.5) and the solution to the system of equations is (x,y) = (0, -5/3).

Let's try these strategies on the given system of equations:

2x+3y=−5

2x−3y=10

A. Subtract the following formula from the above formula:

(2x + 3y) - (2x - 3y) = (-5) - 10

6 years = -15

y = -2.5

Substituting y = -2.5 into one of the equations gives:

2x + 3(-2.5) = -5

2x - 7.5 = -5

2x = 2.5

x = 1.25

So the solution to the system of equations is (x,y) = (1.25, -2.5).

This strategy eliminates the x variable, but not the y variable. B. Add equations.

(2x + 3y) + (2x - 3y) = (-5) + 10

4x = 5

x = 1.25

Substituting x = 1.25 into one of the equations gives:

2(1.25) + 3 years = -5

3 years = -7.5

y = -2.5

So the solution of the system of equations is (x,y) = (1.25, -2.5).

This strategy removes the variable y but not the variable x.

C. Multiply the above formula by 2, then sum these formulas. 2(2x + 3y) + (2x - 3y) = 2(-5) + 10

4x = 0

x = 0

Substituting x = 0 into one of the equations gives:

2(0) + 3 years = -5

y = -5/3

So the solution to the system of equations is (x,y) = (0, -5/3).

This strategy eliminates the x variable, but not the y variable.

Therefore, there is no way to completely eliminate variables in the system of equations. 

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Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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Given:

To find the angle between v and w:

Using the formula,

Rationalising the denomiantor, we get

Hence, the angle is,

Answer:

I have no results if I get some I will notify you

Step-by-step explanation:

I hope that help's

We need to know how many gallons of gas $23.36 will buy, so we divide the amount by the cost per gallon: $23.36 ÷ $3.25 per gallon = 7.20 gallons.

Once we know how many gallons of gas we are buying, we can then find out how long it will take to pump that amount of gas. To do that, we multiply the number of gallons by the time per gallon: 7.20 gallons × 21 seconds/gallon = 151.2 seconds.

So, the answer to the question is 151.2 seconds, which is the total time it will take to pump $23.36 worth of gas at $3.25 per gallon and 21 seconds per gallon.

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The value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)] where E is bounded by the parabolic cylinder z=16−y2z=16−y2 and the planes z=0,x=4, and x=−4.

To evaluate the triple integral ∭E \(x^8 e^y\) dV, where E is bounded by the parabolic cylinder z=16−y² and the planes z = 0,x = 4, and x = −4, we can use the cylindrical coordinate system. Here are the steps to solve the integral:

Write down the limits of integration for each variable:

For ρ, the radial distance from the z-axis, the limits are 0 to 4.

For φ, the angle in the xy-plane, the limits are 0 to 2π.

For z, the height, the limits are 0 to 16 - y² for the parabolic cylinder, and 0 to the plane z = 0.

Write the integral using cylindrical coordinates:

∭E \(x^8 e^y\) dV = ∫\(0^4\) ∫0²π ∫\(0^{(16-y^2)\) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

Evaluate the integral:

∫0²π ∫\(0^4\)(16-y²) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) dφ ∫\(0^{(16-y^2)}\)(\(\rho^{10\) \(e^y\)) dρ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [\((16-y^2)^{11}\) / 11 \(e^y\)] dy dφ

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [(\(16^{11}\) / 11) \(e^y\) - (11/11) y² (\(16^{10}\)) \(e^y\) + (55/11) \(y^4\) (\(16^9\)) \(e^y\) - ...] dφ

= ∫\(0^4\) (\(16^{11}\) / 11) \(e^y\) [(\(cos^8\) φ) (2π)] dy

= (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)]

Therefore, the value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)].

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