A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Find the speed of the motorboat in still water if the speed of the current is 2 km/hour.

14% of 40,000,000 is 5,600,000

Answer:

Perimeter=10

Step-by-step explanation:

The reason i got this was because a rectangles area is base times hight. Also if you draw a rectsngle and make it into 3 rows and 2 colums the area would be 6, and if you count the outside not including the very corners, you will get a perimeter of 10

Answer:

$842.8

Step-by-step explanation:

It says that Katie already paid the 14% of the item as a down payment, so she needs to pay the remaining 86% of the item.

To get that, it is:

$980 x 86% = $842.8

Answer: [tex]s = \sqrt{81}[/tex]

Step-by-step explanation: A= s^2, A = 81

81 = s^2

[tex]\sqrt{81} = \sqrt{s^{2} }[/tex]

s = [tex]\sqrt{81}[/tex]

Answer:

Option 2nd is correct

[tex]s = \sqrt{81}[/tex] inches

Step-by-step explanation:

The area of a square can be found using the equation:

[tex]A=s^2[/tex]               ....[1]

where,

A is the area of square

s is the measure of one side of the square.

Given that:

A square has an area of 81 square inches.

⇒A = 81

Substitute in [1] we have;

[tex]s^2 = 81[/tex]

⇒[tex]s =\pm \sqrt{81}[/tex]

∵Side of square cannot be in negative.

⇒[tex]s = \sqrt{81}[/tex] inches

Therefore:

A square has an area of 81 square inches →[tex]s = \sqrt{81}[/tex] in

Answer: 5%

Step-by-step explanation: In order to calculate the percentage of the discount we need to first calculate the amount of the discount.

$47.26 - $44.90 = $2.36 discount amount

In order to calculate the percentage of the discount you must divide the discount amount by the original cost.

$2.36 / $47.26 = .0499 = rounded off to a 5% discount

Answer:

The decrease is by 5%.

Answer: The first option.

Step-by-step explanation:

The function is:

θ(r) = 45°

so we have a constant function (because r does not apear in the right side of the equation), this means that for every value of r, we have that θ(r) is equal to 45 degrees.

then the correct answer is the first table, because for every value of r we have that the value of theta is the same.

Table 1 best represents the graph of the equation θ(r)= 45°.

It is given that

θ(r)= 45°, which is a constant function.

For a constant function, the value of the dependent variable is the same for each value of the independent variable.

So, θ will remain constant for all values of r.

r =1, θ=45°

r =2,  θ=45°

r=3, θ=45°

r=4,θ=45°

Therefore, Table 1 best represents the graph of the equation θ= 45°.

To get more about function visit:

https://brainly.com/question/2292795

Answer:

[tex]x^{\frac{4}{5} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{x^{m} }[/tex]

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex], hence

[tex]\sqrt[5]{x}[/tex] = [tex]x^{\frac{1}{5} }[/tex], thus

[tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex]

= [tex]x^{\frac{4}{5} }[/tex]

Answer:

[tex] x^{\frac{4}{5} }[/tex]

Step-by-step explanation:

We are given the following expression and we are to determine its most simplified form:

[tex] \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } [/tex]

We know that [tex] \sqrt [ 5 ] { x } [/tex] [tex] = x ^ { \frac { 1 } { 5 } } [/tex]

And since we have four of these like terms so the power of x will become 4, thus making it [tex] x ^4 [/tex].

When [tex] x ^ 4 [/tex] is combined with the square root 5, we get:

[tex]x^4 \times x^{\frac{1}{5}} = x^{\frac{4}{5} }[/tex]

Answer:

(x/7) = actual time

Step-by-step explanation:

Answer

96 inches cubed

Step-by-step explanation:

Ok, same way of solving then. Just with a few more useless numbers. Take rectangular prism A, 6in x 3in x 3in, you will get 54in^3.

Then take prism B, 2in x 3in x 7in, you will get 42in^3.

Finally, take those two numbers, add them, and you end up with 96in^3

1)Plane

2)Perpendicular Lines

3)Parallel lines

4)Circle

5)Angles

Final answer:

The five geometric terms—Plane, Perpendicular Lines, Parallel Lines, Circle, and Angle have been matched with their respective definitions using principles of Euclidean geometry.

Explanation:

Matching the geometric terms with their definitions will allow you to better understand the basic concepts of Euclidean geometry.

Plane: A flat surface that extends infinitely and has no depth; it has length and width.

Perpendicular Lines: Two lines that intersect at 90° angles.

Parallel Lines: Two lines that lie within the same plane and never intersect.

Circle: A set of all points in a plane that are a given distance from a point.

Angle: A figure consisting of two rays with a common endpoint.

Now you can match the terms to their definitions:

Plane - Definition 1

Perpendicular Lines - Definition 2

Parallel Lines - Definition 3

Circle - Definition 4

Angle - Definition 5

Answer: [tex]\bold{\large{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]

Step-by-step explanation:

[tex]\sqrt{ab}=(ab)^{\frac{1}{2}}=\large{\boxed{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]

Answer:

[tex]\frac{DE}{PQ}=\frac{3}{2}[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In his problem

If Triangles DEF and PQR are similar

then

The corresponding sides are

DF and PR

FE and RQ

DE and PQ

so

[tex]\frac{DF}{PR}=\frac{FE}{RQ}=\frac{DE}{PQ}=\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

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

We have f(x) = x² - 8

f(x) = x² - 8          add 5 to both sides

f(x) + 5 = x² - 3

Therefore your answer is D)

The graph of the function y=x^2-8 would shift 5 units up if changed to y=x^2-3, due to the increase in the constant term.

When comparing the functions y=x^2-8 and y=x^2-3, a change in the constant term represents a vertical shift of the graph. The constant term in the function y=x^2-8 is -8, and in the function y=x^2-3 it is -3. Since -3 is greater than -8 by 5, the graph will be shifted up by 5 units. Therefore, the correct answer to how the graph of the function would be affected is that it would shift 5 units up.

Answer:

unknown

Step-by-step explanation:

your question may be incomplete

Answer:

1. 1363.922

2. -52

3. 254.25

Answer:

201.06ft^2

Step-by-step explanation:

The formula for the area of a circle is pi*r^2

We just plug in 8 for r and we get our answer.

Answer:

The correct answer is,

area of given circle = 200.96 feet square

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where r is the radius of circle

To find the area of given circle

Here radius r = 8 feet

Area = πr² = 3.14 * 8² = 3.14 * 64

 = 200.96

Therefore area of given circle = 200.96 feet square

Answer:

540g flour

4tsp baking powder

8tbsps sugar

520mL milk

4 eggs

8tbsps oil

Step-by-step explanation:

To find out how many times he would need to make the recipe, we can divide   20 by 5:

[tex]\frac{20}{5} =4[/tex]

Now we know that Sanjay must make the recipe four times to make 20 pancakes. We need to multiply each value by 4 to get how much he needs to make 20.

[tex](4)(135)=540\\(4)(1)=4\\(4)(2)=8\\(4)(130)=520\\(4)(1)=4\\(4)(2)=8[/tex]

Sanjay can make 20 pancakes by multiplying each ingredient in the original recipe for 5 pancakes by 4. This gives 540 g flour, 4 tsp baking powder, 8 tbsps sugar, 520 ml milk, 4 eggs, and 8 tbsps oil.

To adjust the quantities of ingredients for a recipe to make a different number of servings, we multiply the amounts of each ingredient by the factor that represents how many times the original number of servings we want to make. Sanjay's goal is to make 20 pancakes instead of 5, which is 4 times the original recipe. We'll multiply each ingredient quantity by 4 to find out how much of each is needed for 20 pancakes.

Multiply the amount of flour (135 g) by 4 to get 540 g of flour.

Multiply the amount of baking powder (1 tsp) by 4 to get 4 tsp of baking powder.

Multiply the amount of sugar (2 tbsps) by 4 to get 8 tbsps of sugar.

Multiply the amount of milk (130 ml) by 4 to get 520 ml of milk.

Multiply the amount of eggs (1 egg) by 4 to get 4 eggs.

Multiply the amount of oil (2 tbsps) by 4 to get 8 tbsps of oil.

Answer:

B

Step-by-step explanation:

10/6=5/3=15/9

Answer:

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

In similar figures sides are in proportion .The given rectangle A has length and width in the ratio 10:6=5:3.

For option A ratio of sides for the rectangle = 9:6=3:2

For option B ratio of sides =15:9=5:3

For option C ratio of sides =14:7=2:1

For option D ratio of sides =12:8=3:2.

Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.

Hence the two rectangles are similar.

Answer:

D. 32 3/5

Step-by-step explanation:

4 1/5 * 7  2/3

Change each number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

7 2/3 = (3*7+2)/3 = 23/3

Multiply these together

21/5 * 23/3

483/15

Change this back to a mixed number

15 goes into 483 32 times (32*15 =480) with 3 left over

32 3/5

Answer:

The answer to this problem is C. 32 1/5.

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator then add the numerator to it. Apply this to both fractions individually.

21/5 *  23/3  

Step 2: Multiply the fractions.

21/5 * 23/3 = 483/15  

Step 3: Simplify the fraction into the simplest form.

483/15 simplifies to 32 3/15 and then simplifies to its simplest form 32 1/5.

Answer:explanation:

The answer is B because Nathan will use more cups

Answer:

D

Step-by-step explanation:

Nathan uses 3 cups of water for every 8 cups of flour. Cody uses 4 cups of water for every 12 cups of flour. Create tables of equivalent ratios for Nathan and Cody to find who uses more cups of water when each use 48 cups of flour.

When they each use 48 cups of flour, Nathan will use 18 cups of water and Cody will only use 16 cups of water, so Nathan will use more cups of water.

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

[tex]C=2r\pi[/tex]

Where r is the radius.

The formula for calculate the area of a circle is:

[tex]A=r^2\pi[/tex]

Where r is the radius.

Solve for r from [tex]A=r^2\pi[/tex] to calculate it:

[tex]r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft[/tex]

Subsitute the radius into [tex]C=2r\pi[/tex]. Then:

[tex]C=(2)(4.296ft)\pi=26.99ft[/tex]

Answer:

D. 26.99 ft

Step-by-step explanation:

The formula for area of a circle is

A = πr², where r is the radius. We are given A = 58, so plug that in to find r...

58 = πr²    solve for r...

   58/π = r²           (divide both sides by π)

       √(58/π) = r       (take the square root of both sides)

now simplify...

           (√58)/(√π) = r

               [(√58)(√π)]/[(√π)(√π)] = r

                       [√(58π)]/π = r  

The formula for circumference is C = 2πr,  where r is the radius....so we have

  C = 2π([√(58π)]/π)      now simplify...

        C = 2√(58π)             (the 2 pi's cancel out)

          C = 26.9972124    (crunch in your calculator)

Simplify

5 - 2i + 3 + 4i - (-6 + 2i)

Simplify brackets

5 - 2i + 3 + 4i + 6 - 2i

Collect like terms

(5 + 3 + 6) + (-2i + 4i - 2i)

Simplify

= 14

The equation (5-2i)+(3+4i)-(-6+2i) simplifies to 14 after adding real parts and imaginary parts separately, resulting in the complex number 14+0i which simplifies to 14.

The student's question involves complex number addition and subtraction. To solve the equation (5-2i)+(3+4i)-(-6+2i), we combine like terms, which means separately adding the real parts and the imaginary parts of the complex numbers. The real parts are 5, 3, and 6 (because we subtract a negative, which becomes plus), which add up to 14. The imaginary parts are -2i, 4i, and -2i (again, subtraction of a negative becomes addition), which add up to 0i. Therefore, the final answer is 14+0i, which simplifies to 14.

Here is your answer. x^5-3x^4+6x^2+x-9

Answer:

1.the slope of the function f(x) is greater than the slope of the function g(x)

2. the y intercept in the function g(x) is the greater

Step-by-step explanation:

1. plot the graph for the function f(x)

identify points in on the line, i.e (2,6) and (1,0)

find the slope of function f(x)= change in y/change in x

m=(6-0)/2-1 = 6

equation for the function f(x)=   {y-6/x-2}=6

y-6=6x-12

y=6x-6

2. the equations for functions

f(x) is given by y=6x-6

g(x) is given by y=2x+6

y intercept for f(x) =- 6

y intercept for g(x)= +6

g(x) has greater y intercept.

QUESTION A

We can use any two points from the table to determine the slope of the linear function represented by table.

We use (0,-6) and (1,0).

We use the formula,

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{0 - - 6}{1 - 0} = 6[/tex]

For the second function

[tex]g(x) = 2x + 6[/tex]

This function is of the form;

[tex]y = mx + c[/tex]

where

[tex]m = 2[/tex]

is the slope.

The slope of f(x) is greater than the slope of g(x).

Part B

At y-intercept , x=0.

From the table, x=0 when y=-6.

Therefore f(x) has y-intercept -6.

For

[tex]g(x) = 2x + 6[/tex]

the y-intercept is 6.

Therefore g(x) has greater y-intercept.

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)

Answer:

You need 8 2 metre face panels and 2 1 metre face panels

This is because the 2 metre face panels will completely cover the both of the 4 metre sides, and almost cover the 5 metre sides.

Then you will need 1 2 metre face panel for each of the 5 metre sides to complete the fence.

Hope I helped

Step-by-step explanation:

The maximum height occurs at the vertex found using t = -b/2a

Solve for t

t = -20 / 2(-5) = -20/-10 = 2 seconds.

Now replace t with 2 in the original equation to solve for the height:

h(t) = -5t^2 + 20t + 110

h(2) = -5(2)^2 + 20(2) +110

h(2) = -5(4) + 40 + 110

h(2) = -20 + 40 + 110

h(2) = 130

Travis only threw the spike 130 meters. Since Laura is at 135 meters, the spike did not reach her.

Answer:

Step-by-step explanation:

In 8 hours 30m Corner earns $80.75

In how many hours Zoey earns $118.75

Hours Zoey works= 510*118.75/80.75(converted 8hours into minutes by multiplying with 60)

Solving we get 12 hours 30m.

Answer:

55.2

Step-by-step explanation:

This question can be solved using pemdas. In order of operations, parenthesis come first. So you will do -6.8 + 10.4 to get 3.6. From there it goes to exponents (none), then to multiplication. So multiply 3.6 by 1/4, or .25 to get 0.9. Then just add .9 onto 54.3 to get 55.2 and that's your answer!

Hope this helped, please mark brainliest i need to feed my family ^_^

Answer:

The answer comes out as 0.

Step-by-step explanation:

An example is 1 which the opposite is -1. Add them together, what do you get? 0.

Answer:

when its added to its opposite it becomes zero oviousldsfyasld;fjkl;aly

b + -b = 0

7 + -7 = 0