A boat can travel 40 miles against the current in the same time that it can travel 200 miles with the current. The rate of the current is 4 mph. Find the rate of the boat in Stillwater

Step-by-step explanation:

you question isn't clear enough

find the area of what actually?

Answer:

square = 34

triangle = 17

Step-by-step explanation:

Answer:

If they are seperate, then it is

-149

-3,861

106

If that is a whole equation, then the answer is

-297,506

Answer:

-13x6-(68+3)= -149
54-(-87x45)=  -3969
75+31=106

Step-by-step explanation:

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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To find the possible lengths of the legs of a right triangle with a hypotenuse of √265, solve the equation a^2 + b^2 = 265 for positive integer pairs (a, b).

To determine the possible lengths of the legs (a, b) of a right triangle with a hypotenuse of √265, we apply the Pythagorean theorem, which states that a^2 + b^2 = c^2, where c represents the hypotenuse. In this case, we have a^2 + b^2 = 265.

To find valid solutions, we search for positive integer pairs (a, b) that satisfy this equation. By trying different values of a and solving for b using the equation, we can identify potential combinations of leg lengths.

It is important to note that there may be multiple valid solutions, as there are various pairs of positive integers that fulfill the Pythagorean theorem for this specific hypotenuse length.

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The 45 mi/h is equal to the 2640 ft/min.

To convert 30 miles per hour to feet per minute, we use dimensional analysis in the process.

We have given that, rate using dimensional analysis.

1 hour = 60 minutes.

1 mile is equal to 5280 feet and 1 hour is equal to 60 minutes.

Hence the formula of conversion is 30 miles / hour *(5280 ft/ mile) * (1 hour / 60 min).

The answer is 2640 ft/min.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

What answer???

What question???

Hello???

Step-by-step explanation:

Answer:

umm what?

Step-by-step explanation:

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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The first positive consecutive odd integer as 'x'. Since the consecutive odd integers are 2 units apart, the second consecutive odd integer can be represented as 'x + 2' using quadratic equation.

Let's assume the first consecutive odd integer as 'x'. Since they are consecutive, the second consecutive odd integer will be 'x + 2'.

According to the given information, the square of the first integer (\(x^{2}\)), added to 3 times the second integer (3 * (x + 2)), equals 24. Mathematically, this can be written as:

\(x^{2}\) + 3(x + 2) = 24

Expanding and simplifying the equation, we have:

\(x^{2}\) + 3x + 6 = 24

Rearranging the equation to standard quadratic form:

\(x^{2}\) + 3x + 6 - 24 = 0

\(x^{2}\) + 3x - 18 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the values of 'x' and 'x + 2', which will be the consecutive odd integers that satisfy the given condition.

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The scalar multiple [cx, cy, cz] satisfies the condition for membership in V. Therefore, V is closed under scalar multiplication.

To show that the set V is a subspace of ℝ³, we need to demonstrate that it is closed under addition and scalar multiplication. Let's go through each condition:

Closure under addition:

Let [x₁, y₁, z₁] and [x₂, y₂, z₂] be two arbitrary vectors in V. We need to show that their sum, [x₁ + x₂, y₁ + y₂, z₁ + z₂], also belongs to V.

From the given conditions:

9x₁ = 4y₁a + b ...(1)

9x₂ = 4y₂a + b ...(2)

Adding equations (1) and (2), we have:

9(x₁ + x₂) = 4(y₁ + y₂)a + 2b

This shows that the sum [x₁ + x₂, y₁ + y₂, z₁ + z₂] satisfies the condition for membership in V. Therefore, V is closed under addition.

Closure under scalar multiplication:

Let [x, y, z] be an arbitrary vector in V, and let c be a scalar. We need to show that c[x, y, z] = [cx, cy, cz] belongs to V.

From the given condition:

9x = 4ya + b

Multiplying both sides by c, we have:

9(cx) = 4(cya) + cb

This shows that the scalar multiple [cx, cy, cz] satisfies the condition for membership in V. Therefore, V is closed under scalar multiplication. Since V satisfies both closure conditions, it is a subspace of ℝ³.

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Answer:

17:55

Step-by-step explanation:

What time did the plane leave London City airport?

speed = distance/time

time = distance/speed

time = 256 miles / 192 mph

time = 1.333 hours = 1 1/3 hours = 1 hour 20 minutes

The plane flew for 1 hour and 20 minutes.

19:15 - 1:20 =

(Borrow 1 hour from 19 leaving 18. Convert the borrowed hour to 60 minutes and add to 15 minutes making it 75 minutes.)

= 18:75 - 1:20

= 17:55

If two events, Event A with probability P(A) and Event B with probability P(B) are complementary events then P(B)=1−P(A)

When two events are complementary, they are mutually exclusive and collectively exhaustive.

This implies that the probability of occurrence of one event is equal to one minus the probability of occurrence of the other event.

In case of a coin, the complementary events can be getting a head and getting a tail. If the probability of getting a head is P(A), then the probability of getting a tail (complementary event) is:

P(B) = 1 - P(A)

Example:Suppose we have a bag containing 5 marbles of different colors. The probability of selecting a red marble is 0.4. Therefore, the probability of selecting a non-red marble (complementary event) is:

P(non-red) = 1 - P(red) = 1 - 0.4 = 0.6

This implies that the probability of getting a non-red marble is 0.6.

Hence, P(B)=1−P(A) is the correct answer to the given question.

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The length of the altitude to line segment $\overline{em}$ in triangle $gem$ is 16 units.

Let's denote the length of the altitude to line segment $\overline{em}$ in triangle $gem$ as $h$.

The area of a triangle is given by the formula:

Area = (base * height) / 2

The area common to triangle $gem$ and square $aime$ is 80 square units. Since the base of triangle $gem$ is $\overline{em}$, we have:

80 = (10 * h) / 2

160 = 10h

Solving for $h$, we have:

h = 160 / 10

h = 16

Therefore, the length of the altitude to line segment $\overline{em}$ in triangle $gem$ is 16 units.

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Answer:

15%

Step-by-step explanation:

\(\frac{7225-8500}{7225}=-15\%\)

Answer:

2.14159265358979323846264338327930288419716939937510582097494459230

Step-by-step explanation:

there's a song that I know

Answers:

(f•g)(x) is odd

(g•g)(x) is even

(f o g)(x) is even

(g o g)(x) is odd

Explanation:

If f(x) is even, then f(x) = f(-x) and if g(x) is odd, then g(-x) = -g(x)

(f•g)(x) is equal to:

(f•g)(x) = f(x)g(x)

To know if it is even or odd, we need to find (f•g)(-x), so we get:

Since (f•g)(-x) = -(f•g)(x), the function is odd.

In the same way, (g.g)(x) is equal to:

Therefore, (g.g)(-x) is:

So, the function (g.g)(x) is even.

On the other hand, the composite function (f o g)(x) is equal to:

(f o g)(x) = f( g(x) )

So, (f o g)(-x) si equal to:

Therefore, (f o g)(x) is even

Finally, (g o g)(x) is equal to:

(g o g)(x) = g( g(x) )

Then, (g o g)(-x) is equal to:

Therefore, (g o g)(x) is odd.

Answer:

C

Step-by-step explanation:

Area of a square = s² ; where s = side length

Area of square = 88 unit²

88 = s²

Square root of both sides

√88 = s

9.38 = s

The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. , the relative error is 0.01481 , change in area is 33.93cm^3

A = pi(r2);

dA = 2(pi)r(dr) = 2(3.141592654)(27)(0.2) sq cm

= 33.93 cm2

The above divided by the actual area is the relative error.

= 33.93 / 2290.22

= 0.01481

% error -- convert the above to a % by appropriate shifting of decimal point

= 0.01481*100

= 1.481%

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Answer:

assuming that "x" is a multiplication symbol

(4.2*2)10^-5

0.00001 * 8.4

The correct option regarding the addition of the matrices is given as follows:

Not possible.

To add two matrices, the equivalent elements in each matrix, that is, the elements that are on the same position on each matrix, are added.

Hence, the addition of a number of matrices is only possible if all the matrices have the same dimension.

The matrix A in this problem is given as follows:

\(\left[\begin{array}{cc}2&-4\\-4&10\\0&-8\end{array}\right]\)

Hence the dimension is of 3 x 2, that is, 3 rows and 2 columns.

The matrix B in this problem is given as follows:

\(\left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right]\)

Hence the dimension is of 2 x 3, that is, 2 rows and 3 columns.

Since the matrices A and B have different dimensions, it is not possible to calculate their addition. The multiplication by the constant 3 of matrix B just means that each element of B is multiplied by 3, not causing any change to the dimension.

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Answer:

480 liters of natural oil

Step by step Explanation:

ratio of natural to synthetic oil

= 5:3

If 440 liters have to be made then,

Add 5 + 3 = 8

So, 5/8 of 768 liters will be = 480 liters of natural oil

and, 3/8 of 768 liters will be = 288liters of synthetic oil

Therefore, 480 liters of natural oil will be needed

Note that the Absolute Values of the above numbers will be:

5,4,3,2,1,0,1,2,3,4,5. Since positive values cannot be represented on the Negative spectrum of the Coordinate system, we are left with 0,1,2,3,4,5 which means is represented by 0 ≤ x ≤ 5. See the attached Number Line.

A number line is a graphical representation of numbers on a line, where each point corresponds to a unique real number. It is important for understanding numerical concepts and operations visually.

The absolute value of a number is the distance of the number from zero, regardless of its sign. It is represented as a positive number and is important for understanding the magnitude of a quantity or a distance between two points on a number line.

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Answer:

its increasing by 12

Step-by-step explanation:

Just count upward

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

The correct option is False. Sampling only seniors at Dr. Khan's college may not provide a representative sample of how all college students in her state will vote during the next election.

The sample may not capture the diversity and demographics of college students in the entire state. To obtain a more representative sample.

It would be necessary to consider a broader range of colleges and universities and potentially include students from various backgrounds and institutions within the state.

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Answer: 15

Step-by-step explanation:

 4-7+9=8

  +7     +7

  4+9=15

    15=15

Answer:

Step-by-step explanation:

Answer:

∠ T = 126°

Step-by-step explanation:

in an isosceles trapezoid

• lower base angles are congruent

• any lower base angle is supplementary to any upper base angle

then

∠ U = ∠ W = 54° , so

∠ T + ∠ U = 180°

∠ T + 54° = 180° ( subtract 54° from both sides )

∠ T = 126°

Answer:

The answer is  

a.

$75,000

Step-by-step explanation:

The face value of the 10-year term insurance policy on a 24-year-old male is $359.25 is given as follows: $75,000.

The face value of the insurance policy is given by the equation presented as follows:

Face value = 1,000 x (Annual premium / Amount paid per $1,000 coverage )

The parameters for this problem are given as:

Annual premium = $359.25, as given in the problem.

Also, Amount paid per $1,000 coverage for 24 year old male for 10 year policy = 4.79,

Hence the face value is calculated as:

Face value = 1000 x 359.25/4.79

Face value = $75,000.

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Using proportions, the coordinates of the point C that partitions segment HE in the ratio of 2:3 are found according to the following equation:

C - H = 2/5(E - H).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have point C that partitions segment HE in the ratio of 2:3, hence it is 2/5 of the way from H to E, and the rule is given by:

C - H = 2/5(E - H).

Then:

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