A boat is traveling at 43.2 m/s. It then goes down a faster part of the river and is now going 144
m/s which gave the boat an acceleration of 25.2 m/s2. How long did it take the boat to reach its
new speed?

Answer:

9√3

Step-by-step explanation:

Answer:

\(9\sqrt{3}\)

Step-by-step explanation:

we know that 3*81 = 243, so we can say

\(\sqrt[]{3} * \sqrt{81}\)

And we know that square root of 81 = 9

so we can simplify this to:

\(9\sqrt{3}\)

Hope this helps!

Answer:

a. Triangular prism , b. 157.5cm squared , c. 369cm ,d. 405 cm cubic

Step-by-step explanation:

b. I assume lateral meabs the area which is visible ( exclude dotted lines)

c. sum of areas of all 5 shapes used to make the triangular prism ( L×W ) + l×w +l×w + 1/2×bh +1/2×bh

d. volume = AREA OF CROSS SECTION(which is a triangle) ×LENGHTH or Height(6cm)

Answer:

234 miles were driven.

Step-by-step explanation:

Givens

Fixed fee(F) = 19.99

mile fee(m) = 0.74

Total Cost(T) = 193.15

Equation

T = F + 0.74* M

Substitute

193.15 = 19.99 + 0.74*m

Solution

193.15 = 19.99 + 0.74*m             Subtract 19.95 from both sides

193.15 - 19.99 = 0.74*m             Combine the left

173.16 = 0.74m                           Divide by 0.74

173.16/0.74 = m

m = 234 miles

Answer:

C

I just did the assignment

Step-by-step explanation:

Answer:

579.67 yards

Step-by-step explanation:

Answer:

≈579.67 yards

Step-by-step explanation:

1. convert feet into yards

1 foot = 1/3 yards

2. use dimensional analysis

\(\frac{1739feet}{1}\) * \(\frac{1/3 yards}{1 foot}\)

3. multiple straight across

1739 feet * 1/3 yards

answer: ≈579.67 yards

Answer:

it is not they are different not the same

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me the brainliest.

The difference of the given polynomials is  -rxt - 8\(r^{2}\)x - 6r \(x^{2}\) + 3 \(x^{2}\).

What is Algebraic expression?

An algebraic expression is a combination of variables, constants, and arithmetic operations such as addition, subtraction, multiplication, and division. It can include one or more variables, and each variable can have a coefficient or numerical factor associated with it. Algebraic expressions can be used to represent mathematical relationships, patterns, and formulas in various fields of mathematics and science.

To add or subtract the given polynomials, we need to first group the like terms together. In this case, the like terms are the terms with the same variables raised to the same powers.

(4rxt - 8\(r^{2}\)x + \(x^{2}\)) - (6rx² + 5rxt - 2 \(x^{2}\))

= 4rxt - 8\(r^{2}\)x +  \(x^{2}\) - 6r \(x^{2}\) - 5rxt + 2 \(x^{2}\) (distribute the negative sign)

= (4rxt - 5rxt) + (-8\(r^{2}\)x) + (-6r \(x^{2}\))  + ( \(x^{2}\) + 2x²) (group the like terms)

= -rxt - 8\(r^{2}\)x - 6r \(x^{2}\) + 3 \(x^{2}\)

Therefore, the difference of the given polynomials is -rxt - 8\(r^{2}\)x - 6r \(x^{2}\) + 3 \(x^{2}\).

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Answer:

i think its a

Step-by-step explanation:

Answer:

sin(2x)=cos(π2−2x)

So:

cos(π2−2x)=cos(3x)

Now we know that cos(x)=cos(±x) because cosine is an even function. So we see that

(π2−2x)=±3x

i)

π2=5x

x=π10

ii)

π2=−x

x=−π2

Similarly, sin(2x)=sin(2x−2π)=cos(π2−2x−2π)

So we see that

(π2−2x−2π)=±3x

iii)

π2−2π=5x

x=−310π

iv)

π2−2π=−x

x=2π−π2=32π

Finally, we note that the solutions must repeat every 2π because the original functions each repeat every 2π. (The sine function has period π so it has completed exactly two periods over an interval of length 2π. The cosine has period 23π so it has completed exactly three periods over an interval of length 2π. Hence, both functions repeat every 2π2π2π so every solution will repeat every 2π.)

So we get ∀n∈N

i) x=π10+2πn

ii) x=−π2+2πn

iii) x=−310π+2πn

(Note that solution (iv) is redundant since 32π+2πn=−π2+2π(n+1).)

So we conclude that there are really three solutions and then the periodic extensions of those three solutions.

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Related Questions (More Answers Below)

Answer:

B.

Step-by-step explanation:

Integers are any whole numbers that can be positive or negative.

Rational numbers are any numbers that can be expressed as a fraction such as an integer, whole number, or decimals.

Natural numbers include 1, 2, 3 etc.

(Extra fact: 0 is not a natural number :0)

Whole numbers are are numbers without fractions or decimals.

I hope this helps :)

Answer:

-3/4

Step-by-step explanation:

(-2,5) (10,-4)       <-y2-y1 / x2-x1  is the equation

 -4-5          -9           -9        

---------- = --------- =  -------- <-simplify this

10-(-2)      10+2         12

-9/3=-3

12/3=4

-3/4

Answer:

Option 3 (-3/4)

Step-by-step explanation:

To find the slope of a line, you find the change in y and divide it by the change in x:

5 - (-4)         9

---------   =   ------

-2 - 10         -12

If you simply 9/-12 (they both go into the number 3), you get -3/4

The relationship between the volume of a gas and the pressure on the gas is described by the equation V ∝ 1/P, where V is the volume and P is the pressure. This equation means that the volume and pressure of a gas are inversely proportional, so if the pressure increases, the volume will decrease and vice versa.

To find the volume of the gas when the pressure is increased from 66 pounds per square inch to 77 pounds per square inch, you can use the formula for inverse proportionality to solve for the new volume:

V1/V2 = P2/P1

Plugging in the known values, you get:

V1/V2 = 77 pounds per square inch / 66 pounds per square inch

= 1.16

Rearranging the equation to solve for V2, you get:

V2 = V1 * (P1/P2)

= 329329 cubic inches * (66 pounds per square inch / 77 pounds per square inch)

= 329329 cubic inches * (0.86)

= 283590 cubic inches

Rounding this volume to the nearest integer, the volume of the gas when the pressure is increased to 77 pounds per square inch is approximately 283,590 cubic inches.

Answer:

i think its every 90 minutes but I could be wrong.

Step-by-step explanation:

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

Answer:

y = -4x + 15

Step-by-step explanation:

slope = (-1 -7)/(4-2) = -8/2 = -4

y = mx + b

7 = -4(2) + b

15 = b

y = -4x + 15

The length BC for the similar triangle ∆ABC is derived to be equal to 20.

The triangles ABC and EBD are similar, this implies that the length AC of the smaller triangle is similar to the length ED of the larger triangle

similarly, BC is similar to BD so;

BC/(8 + BC) = 10/14

14BC = 10(8 + BC) {cross multiplication}

14BC = 80 + 10BC

14BC - 10BC = 80 {collect like terms}

4BC = 80

BC = 80/4 {divide through by 4}

BC = 20.

Therefore, the length BC for the similar triangle ∆ABC is derived to be equal to 20

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Domain: (-∞, ∞)

Range: [3, ∞)

Domain Explanation:

Domain is the x-axis, which you can see has both arrows pointing horizontally, so we can tell it is infinite, which means it will be (-∞, ∞) or negative infinity, positive infinity.

Range Explanation:

Range is the y-axis, or the vertical plane which we can see only starts at 3, then go infinitely. This would include 3, so it would be a bracket then a parenthesis. [3, ∞)

Answer:

The slope is 4/11.

Step-by-step explanation:

M = Y2 - Y1

X2 - X2

M = 6 - 2

4 - (-7)

M = 4

11

Answer: 36 and 28

Step-by-step explanation:

x + x+2 = 74

2x = 72

x1 = 36

x2 = 28

Answer: 75

Step-by-step explanation:

Multiple all those numbers together and then divide by 3

Answer:

75

Step-by-step explanation:

V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75

The required difference will be;

⇒ 6

What is an expression?

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 difference between a two-digit number and the number obtained by interchanging the digits is 54.

And, The ratio between the digits of the number is 1 : 3.

Now,

Since, The number is greater than the number obtained in reversing the digits and the ten's digit is greater than the unit digit.

Let the unit and ten's place are x and 3x.

Hence, We get;

⇒ (10 × 3x + x) - (10x + 3x) = 54

⇒ 31x - 13x = 54

⇒ 18x = 54

⇒ x = 3

Thus, The required difference,

⇒ (3x + x) - (3x - x)

⇒ 4x - 2x

⇒ 2x

⇒ 2 × 3

⇒ 6

Therefore, The required difference will be;

⇒ 6

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Answer:

x =9

Step-by-step explanation:

48-12=36

4x=36

divide by 4

x=9

Answer: A) x=9

48-12=36.

36/4=9

More detailed explanation:

4x+12=48

   -12    -12

    4x = 36

    /4     /4

    x   =    9

Step-by-step explanation:

subtract 12 from both sides , then divide both sides by 4

Using the exponential distribution formula:

(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704

(b) The 40th percentile is 29.15 minutes

a) Using the exponential distribution formula:

P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935

P(X > 15) = \(e^{(-15/20)}\) = 0.2231

P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704

b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:

0.40 = 1 - \(e^{(-x/20)}\)

Solving for x:

\(e^{(-x/20)}\)= 0.60

-x/20 = ln(0.60)

x = -20 ln(0.60) = 29.15

Therefore, the 40th percentile is 29.15 minutes.

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Step-by-step explanation:

-2*x^5+3*x^4-5*x^3

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

3{x}^{1+4}+3x{x}^{3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x

1+4

+3xx

3

−5x

2

x

3

−5x

2

x

Simplify 1+41+4 to 55.

3{x}^{5}+3x{x}^{3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x

5

+3xx

3

−5x

2

x

3

−5x

2

x

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

3{x}^{5}+3{x}^{1+3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x

5

+3x

1+3

−5x

2

x

3

−5x

2

x

Simplify 1+31+3 to 44.

3{x}^{5}+3{x}^{4}-5{x}^{2}{x}^{3}-5{x}^{2}x3x

5

+3x

4

−5x

2

x

3

−5x

2

x

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

3{x}^{5}+3{x}^{4}-5{x}^{2+3}-5{x}^{2}x3x

5

+3x

4

−5x

2+3

−5x

2

x

Simplify 2+32+3 to 55.

3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{2}x3x

5

+3x

4

−5x

5

−5x

2

x

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{2+1}3x

5

+3x

4

−5x

5

−5x

2+1

Simplify 2+12+1 to 33.

3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{3}3x

5

+3x

4

−5x

5

−5x

3

Collect like terms.

(3{x}^{5}-5{x}^{5})+3{x}^{4}-5{x}^{3}(3x

5

−5x

5

)+3x

4

−5x

3

Simplify.

-2{x}^{5}+3{x}^{4}-5{x}^{3}−2x

5

+3x

4

−5x

3

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

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Answer:

\(\boxed {a_{24} = - 70}\)

Step-by-step explanation:

According to the following pattern sequence (\(-1, -4, -7, -10\) ), it is Arithmetic Sequence, because every negative number is subtracted by \(3\). So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

\(a_{n} = a_{1} + (n - 1) d\)

\(a_{n}\): nth term in the sequence

\(a_{1}\): 1st term

\(n\): term position

\(d\): Common difference

-Apply to the formula:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{n} = a_{24}\)

\(a_{1} = -1\)

\(n = 24\)

\(d = -3\)

-Solve:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{24} = -1 - 3 (23)\)

\(a_{24} = -1 - 69\)

\(\boxed {a_{24} = - 70}\)

Therefore, the 24th term is \(-70\).

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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The present value of the payment is: $25,015.42

Now, According to the question;

An annuity is series of equal annual payments or receipts made for a certain number of years.

A delayed annuity is that which the first cash flow occurs at a time later than year one.

A standard annuity is that which the first cash flow occurs a year from now.

An advanced annuity is that which first cash flow  occurs immediately or now.

$5,100 per where the first payment occurs in year 6 and end 20 years from today is an example of a delayed annuity.

Present Value = A ×( 1 - (1+r)^(-n))/r

                       = 5,100 × ( 1 - (1+0.079)^(-11))/0.079

                      = 36,586.01

Present Value = Future Value × (1 + r)^(-n)

Present Value = $ 36,586.01  × (1+0.079)^(-5)

Present value = $25,015.42

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