help me with this !!

Answer:

he can rent it for 10 hours

Step-by-step explanation:

35 - 15 = 20

20 divided by 2 equals 10

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

The balance in the account after 5 years is $805.255.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

The formula to calculate the final amount in compound interest is,

A = P(1 + \(\frac{r}{n}\)) ^ (nt)

where A is the balance, P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Given, P = $500,

r = 10% = 10/100 = 0.1

n = 1 (since the compounding is done annually once)

t = 5 years

Substituting,

A = 500 (1 + 0.1)⁵

A = 500(1.1)⁵

A = 805.255

Hence the final amount is $805.255.

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For the specified Data, the rate of change will be 8.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Kayak and canoe experiences are led by a river guide along a beautiful river. In addition to a booking fee and a variable tariff based on the number of passengers, he charges. The graph displays the total cost for various passenger counts, including the booking fee.

From general formula of rate of change = (y₂ - y₁)/ (x₂ - x₁)

in our case

y₂ = 72

y₁ = 56

x₂ = 4

x₁ = 2

thus rate of change = 16/2 = 8

Since A rate of change is the proportion of one quantity's change to another's change. There is a constant rate of change in linear relationships.

Therefore, The rate of change for the given equation will be 8.

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You should place the computer at corner with 90°, you should place the bookshelf on the opposite side of the computer and the triangle is a right triangle.

Given that you are setting up a study area which is triangular with an entrance on one side.

You want to put your computer in the corner with the largest angle and the bookshelf on the longest side.

Also, one angle of the triangle is 90°.

So, since one angle is right angle, so the triangle is a right triangle,

We know that the largest angle in a right triangle is 90°.

So, you should place your computer in the corner which is measuring 90°.

Also, the largest angle is opposite of the largest side, so you should place the bookshelf on the side which is opposite to the computer.

Hence you should place the computer at corner with 90°, you should place the bookshelf on the opposite side of the computer and the triangle is a right triangle.

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Answer:

Step-by-step explanation:

You want optical density in terms of intensity of transmitted (Jt) and incident (Ji) light, written as a single term and as the difference of logarithms.

Optical transparency is the ratio of transmitted to incident light intensities:

  T = Jt/Ji

Opacity is the inverse of transparency:

  O = 1/T = Ji/Jt

Optical density is the common log of opacity:

  D = log(O)

  D = log(Ji/Jt)

As the difference of logarithms, this is ...

  D = log(Ji) -log(Jt)

__

Additional comment

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

first you should multiply 18 and 2 then it will come 36 then subtract 36 and 50 then the answer will come -14

4. The statement reads as "My car is neither quiet nor purple"is:

¬(quiet(my car) ∨ purple(my car))

1. ∀x (purple(x) → reliable(x)) - This statement reads as "For all x, if x is purple, then x is reliable."

2. ¬∃x (quiet(x) ∧ purple(x)) - This statement reads as "It is not the case that there exists an x, such that x is quiet and purple."

3. ∀x (reliable(x) → (purple(x) ∨ quiet(x))) - This statement reads as "For all x, if x is reliable, then x is either purple or quiet."

4. ¬(quiet(my car) ∨ purple(my car)) - This statement reads as "My car is neither quiet nor purple."

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• Purple things are reliable:\(∀x (x is purple → x is reliable)\). • Nothing is quiet and purple: ¬∃x (x is quiet ∧ x is purple). • Reliable things are purple or quiet: ∀x (x is reliable → (x is purple ∨ x is quiet)).

• My car is not quiet nor is it purple:\(¬(My car is quiet ∨ My car is purple).\)

1. "Purple things are reliable."
To represent this statement using quantifiers and logical symbols, we can say:
∀x (P(x) → R(x))
This can be read as "For all x, if x is purple, then x is reliable." Here, P(x) represents "x is purple" and R(x) represents "x is reliable."

2. "Nothing is quiet and purple."
To express this statement, we can use the negation of the existential quantifier (∃) and logical symbols:
¬∃x (Q(x) ∧ P(x))
This can be read as "There does not exist an x such that x is quiet and x is purple." Here, Q(x) represents "x is quiet" and P(x) represents "x is purple."

3. "Reliable things are purple or quiet."
To represent this statement, we can use logical symbols:
∀x (R(x) → (P(x) ∨ Q(x)))
This can be read as "For all x, if x is reliable, then x is purple or x is quiet." Here, R(x) represents "x is reliable," P(x) represents "x is purple," and Q(x) represents "x is quiet."

4. "My car is not quiet nor is it purple."
To express this statement, we can use the negation symbol and logical symbols:
¬(Q(c) ∨ P(c))
This can be read as "My car is not quiet or purple." Here, Q(c) represents "my car is quiet," P(c) represents "my car is purple," and the ¬ symbol negates the entire statement.

These logical representations capture the  meaning of the original statements using quantifiers (∀ and ∃) and logical symbols (∧, ∨, →, ¬).

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Answer:

-6 degrees

Step-by-step explanation:

9 degrees below zero is the same as -9, so -9 + 3 = -6

Answer:

15-15n

Step-by-step explanation:

Final Answer

15-15n

15−15n

Step-by-step Solution

Problem to solve:

-3\left(5n-3\right)+6

−3(5n−3)+6

1 Solve the product -3\left(5n-3\right)−3(5n−3)

-3\cdot 5n-3\cdot -3+6

−3⋅5n−3⋅−3+6

2 Multiply -3−3 times 55

-15n-3\cdot -3+6

−15n−3⋅−3+6

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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Answer:

y = 2x + 2

Explanation:

We can use the following equation to write an equation in slope-intercept form.

Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:

Where (x2, y2) is another point in the line.

So, replacing (x1, y1) by (0, 2) and (x2, y2) by (3, 8), we get that the slope is equal to:

Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:

Therefore, the equation in slope-intercept form is:

y = 2x + 2

Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less. The total amount of turkey ham they bought together is 1/3 + 1/9 = 3/9 + 1/9 = 4/9 kg. Together, they bought a total of 4/9 kg of turkey ham.

A fraction is a mathematical symbol that represents a portion of a whole or a component of a number. It is made up of two numbers divided by a horizontal line, with the number above the line (numerator) indicating the portion under consideration and the number below the line (denominator) indicating the entire or the total number of equal parts in the whole.

From the given information, we know that Raven bought 1/3 kg of turkey ham, and Chisa bought 2/9 kg less than Raven. This means that Chisa bought:

1/3 kg - 2/9 kg = 3/9 kg - 2/9 kg = 1/9 kg

Now we can find the total amount of turkey ham they bought together by adding Raven's purchase and Chisa's purchase:

1/3 kg + 1/9 kg = 3/9 kg + 1/9 kg = 4/9 kg

Therefore, Raven and Chisa bought a total of 4/9 kg of turkey ham together.

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The dimensions of the region bounded by the curve, y² = x, the lines,  x = 1 and x = 4, and the x-axis exists the dimensions ABCD

Thus area of ABCD = \(\int_1^4 \mathrm{ydx} \\\)

\(& =\int_1^4 \sqrt{\mathrm{x}} \mathrm{dx} \\\)

\($& =\left[\frac{\mathrm{x}^{\frac{3}{2}}}{\frac{3}{2}}\right]_1^4 \\\)

\($& =\frac{2}{3}\left[(4)^{\frac{3}{2}}-(1)^{\frac{3}{2}}\right]\)

simplifying,

\($& =\frac{2}{3}[8-1] \\\)

Then we get,

\($& =\frac{14}{3} \text { units }\)

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Answer:

.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ 1 and ∠ 2 are Alternate exterior angles and are congruent, thus

∠ 2 = ∠ 1 = 34° → B

The given bounded region is the set

\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)

assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).

The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios

\(\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}\)

Compute the area of \(R\).

\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)

Integrate \(x\) and \(y\) over \(R\).

\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)

\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)

Then the centroid's coordinates are

\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)

\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)

Answer:

-Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x= -1/2

Decimal Form:

x=0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:   x = -1/2

Step-by-step explanation:

1/2 x - 3/10  =  5/2 x + 7/10

-1/2 x on both sides

-3/10 = 4/2 x +7/10

subtract 7/10 from both sides

-1 = 4/2x

simplify

2x = -1

divide 2 on both sides

x = -1/2

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Employees in the transportation and shipping industry today are required to know advanced math for several reasons. Here are some of the most important ones:

1. Efficiency: In the transportation and shipping industry, time is money. To maximize efficiency, workers need to be able to calculate distances, speeds, and travel times accurately.

This requires a solid understanding of advanced math concepts such as algebra, calculus, and trigonometry.

2. Safety: Transporting goods and people comes with risks. To ensure safety, employees need to understand the physics of motion, forces, and momentum.

This requires knowledge of advanced math concepts such as vectors, kinematics, and dynamics.

3. Technology: The transportation and shipping industry is becoming increasingly automated and technology-driven. Employees need to be able to understand and use complex algorithms, statistical models, and data analysis tools.

This requires advanced math skills such as statistics, probability theory, and linear algebra.

4. Regulations: The transportation and shipping industry is subject to a wide range of regulations, including safety standards, environmental laws, and trade policies.

Compliance with these regulations often requires complex calculations and data analysis. Advanced math skills are essential for navigating this regulatory landscape.

In summary, advanced math skills are essential for employees in the transportation and shipping industry to ensure efficiency, safety, technology adoption, and compliance with regulations.

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Answer:

13x^8 + 4x^5 - 16x^2

Step-by-step explanation:

Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!

Answer:

The length of AB: 34

Step-by-step explanation:

What are we given?

B = Midpoint of AC

AB = 8x + 2

BC = 5x + 14

|--------------|--------------|

A               B               C

(This is what your line would look like)

Our equation would be:

AB + BC = AC

(8x + 2) = (5x + 14)

(AB)      =        (BC)

(Assuming that our line and points are evenly spread out, we can say that they can equal each other)

8x + 2 = 5x  +14

- 5x- 2 = -5x -2

---------------------

3x = 12

\(\frac{3x}{3}=\frac{12}{3}\)

---------------------

x = 4

1) Substitute

(8x + 2) + (5x + 14) = AC

    (AB) + ( BC)       = AC

AB = 8(4) + 2

32 + 2

= 34

BC = 5(4) + 14 =

20 + 14

= 34

(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)

The length of the line segment AB is 34 units.

Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

Since, B is the midpoint of AC

AB=BC

8x + 2=5x+14

Subtract 5x on both sides of the equation, that is

8x+2-5x=5x+14-5x

⇒ 3x+2 = 14

Transpose 2 to other side of the equation, we get

3x = 14 - 2

⇒ 3x=12

Transpose 3 to other side of the equation, we get

x=4

So, AB=8x+2

=8×4+2

=32+2=34 units

Therefore, the length of the line segment AB is 34 units.

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

my previous account deleted...how r u sadie??

The minimum score you would need to be in the top 5% is 86.

To find the minimum score you would need to be in the top 5%, we can use the properties of the standard normal distribution. Since the scores on the test follow an approximately normal distribution, we can convert the problem into a standard normal distribution by standardizing the scores.

The z-score formula is given by:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the z-score corresponding to the top 5% of the distribution. The z-score associated with the top 5% can be found using a standard normal distribution table or a calculator. The z-score corresponding to the top 5% is approximately 1.645.

Now, we can use the z-score formula to find the minimum score (x) needed to be in the top 5%:

1.645 = (x - 76.4) / 6.1

Solving for x:

x - 76.4 = 1.645 * 6.1

x - 76.4 = 10.0345

x = 86.4345

Rounding to the nearest whole number, the minimum score you would need to be in the top 5% is 86.

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Answer:

4x

Step-by-step explanation:

I think the answer is 4X.on the other hand, I think the answer is x + 4 because we were told you can't mix goats with cows.it is the same thing with x + 4 so if the answer isn't 4 x it is x + 4 I'm not quite sure which is the answer hope it helps.

Answer:

\(4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5\)

Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.

To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:

Discount Factor = 1 / (1 + Rate of Return)

Substituting the rate of return of 6 percent (0.06) into the formula:

Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434

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