Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1. 15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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perimiter means all the way around, and im assuming this is a 4-sided shape, so 5+5+4+4 = 18 ft.

Answer:

30

Step-by-step explanation:

Assuming your parallelogram looks like the one in the attached image.

The area of a parallelogram is base x height,  \(A=bh\).

The base is 10; the height is 3, so A = 10 x 3 = 30.

Answer:

30

Step-by-step explanation:

Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45

we have to integrate  with : 2.55 to 3.45

p(3-0.45<X<3+0.45)

P( 2.55<X<3.45)

= [2.7-24.47-24.3+48.609/3]

=0.6325

What is probability:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

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The question was incomplete. Check below the complete question.

The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.

Answer:

9 - .1 = 8.9

One-tenth less than 9.0 is 8.9.

Answer:

d

Step-by-step explanation:

18/36 is equivalent to 1/3

Answer:I think it’s C

Step-by-step explanation:

The given inequality is X + 29/x+3<9. We have to solve this inequality, graph the solution and write the answer in interval notation.Steps to solve the inequality:Step 1: Subtract 9 from both sides of the inequality.X + 29/x+3 - 9 < 0Step 2: Bring all the terms to the denominator.X(x+3) + 29 - 9(x+3) / x+3 < 0Simplifying it, (x^2 + 2x - 6x - 3) / (x+3) < 0x^2 - 4x - 3 / x+3 < 0Step 3: Find the critical values. They are the values of x which make the denominator zero. Here, the critical value is x = -3.Step 4: Find the sign of f(x) for values of x less than -3. We will choose x = -4.f(-4) = ((-4)^2 - 4(-4) - 3) / (-4+3) = 7 > 0Therefore, for x < -3, the sign of f(x) is positive (+).Step 5: Find the sign of f(x) for values of x between -3 and 1. We will choose x = 0.f(0) = (0^2 - 4(0) - 3) / (0+3) = -1Step 6: Find the sign of f(x) for values of x greater than 1. We will choose x = 2.f(2) = (2^2 - 4(2) - 3) / (2+3) = -3/5Therefore, for x > -3, the sign of f(x) is negative (-).Step 7: Plot the critical value on the number line. Use an open circle for less than or greater than inequalities and a closed circle for less than or equal to or greater than or equal to inequalities.Step 8: Write the solution in interval notation.(-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞)The solution of the given inequality is (-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞).

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

The mode is the least used of the measures of central tendency

Step-by-step explanation:

Answer:

The answer is 3/8

Step-by-step explanation:

Set up a table to get one you divide 2 by 2 so then you have to divide 3/4 by 2 and that gets you 3/8

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Answer:

6/35

Step-by-step explanation:

\(\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}\)

Answer:

6/35

Step-by-step explanation:

2/5x3/7=

6/35

Does not simplify. Multiply straight across..

Hope this helps!

Step-by-step explanation:

Straight line = 180 degrees

 all three of the angles sum to 180 degrees

42  + x + 29 = 180

x = 180 - 42 - 29 = 109 degrees

The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:

Given, Eva wants to buy a bicycle.

The cost of bicycle is = $250

Saving's of Eva = $125

Eva plans on washing cars for $25 per car.

Eva wash 'c' cars to have enough to purchase the bicycle.

cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.

⇒ 250 = 125 + 25c

arrange the like terms on one side.

⇒ 250 - 125 = 25c

⇒ 125  = 25c

⇒ 25c = 125

⇒ c = 125/25

⇒ c = 5

hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.

⇒ cost of bicycle = 125+25(5)

⇒ cost of bicycle = 125+125

⇒ cost of bicycle  = $250

Hence we got the required answers.

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Answer: Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama

Step-by-step explanation:

Answer:

im assuming it is because the metal draws heat from you faster than the plastic does

Step-by-step explanation:

So, the values of the trigonometric functions of t are sin(t) = 1/7, cos(t) = -√(1 - (1/7)^2) and tan(t) = -(1/7)/(-√(1 - (1/7)^2)).

Given that csc(t) = 7 and cos(t) < 0, we can find the values of the other trigonometric functions of t using the relationships between the trigonometric functions.

csc(t) = 1/sin(t), so sin(t) = 1/7

Since cos(t) < 0, t is in the second or third quadrant, where sin(t) is positive. Hence, t is in the third quadrant.

Therefore, the values of the trigonometric functions of t are:

sin(t) = 1/7

cos(t) = -√(1 - sin^2(t)) = -√(1 - (1/7)^2)

tan(t) = sin(t)/cos(t) = -(1/7)/(-√(1 - (1/7)^2))

Note that the values of the other trigonometric functions, such as cot(t), sec(t), and csc(t), can be found using the definitions of these functions and the values of sin(t) and cos(t) that we have found.

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So, the values of the trigonometric functions of t are  \(Sin(t)=\frac{1}{7}\), \(Cos(t)=-\sqrt{[1-(\frac{1}{7})^2] }\)  and  \(tan(t)=\frac{\frac{1}{7} }{-\sqrt{1-(\frac{1}{7})^2 } }\).

Given that csc(t) = 7 and cos(t) < 0, we can find the values of the other trigonometric functions of t using the relationships between the trigonometric functions.

\(Cosec(t)=7\)

We known

⇒ \(Sin(t)=\frac{1}{Cosec(t)} =\frac{1}{7}\)

Since cos(t) < 0, t is in the second or third quadrant, where sin(t) is positive. Hence, t is in the second quadrant.

Therefore, the values of the trigonometric functions of t are:

⇒ \(Sin(t)=\frac{1}{7}\)

⇒ \(Cos(t)=-\sqrt{[1-(Sin^2t)]}\)

⇒ \(Cos(t)=-\sqrt{[1-(\frac{1}{7})^2] }\)

⇒ \(tan(t)=\frac{Sin(t)}{Cos(t)}\)

⇒ \(tan(t)=\frac{\frac{1}{7} }{-\sqrt{1-(\frac{1}{7})^2 } }\)

∴ Note that The definitions of the other trigonometric functions, along with the values of Sin(t) and Cos(t), can be used to determine the values of cot(t), Sec(t), and Cosec(t).

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We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Given, we need to divide the complex number\($\frac{5i}{-6+3i}$\), We know that when dividing two complex numbers in the form of\($z_1=\frac{a_1}{b_1}+i\frac{c_1}{d_1}$ and $z_2=\frac{a_2}{b_2}+i\frac{c_2}{d_2}$.\)

we have to multiply the numerator and denominator of $z_1$ by the complex conjugate of the denominator of \($z_2$, which is $b_2-i d_2$\) and then simplify the result .Thus,\($\frac{5i}{-6+3i}=\frac{5i(b_2-id_2)}{(-6+3i)(b_2-id_2)}=\frac{-15}{15}-i\frac{5}{15}$\) By simplifying the above expression, we get,\($\frac{5i}{-6+3i}=-1/1-i/3=-1-\frac{i}{3}$Hence, $\frac{5i}{-6+3i}=-1-\frac{i}{3}$ in standard form.\).

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Answer:

10 units is the solution

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

Answer:

pretty sure it's b but I can't see that well can you please take a clearer picture of your question?

Answer:

B) 48

Step-by-step explanation:

the sequence SEEMS to be going in a back and forth manner, tripling whichever way it's going.

3,then you add -9, which is -6.

then you have -6, which you add +18 to

etc etc

Answer:

no 8 is 90° and no 9 is two

Step-by-step explanation:

90° and two circles can pass through a given point

Answer:

it's 42 count by 7 hope this helps