Please help For each of the following problems, answer the 3 questions (show all
a) What angle upstream must the boat be directed?
b) With what speed will the boat cross the river?
c) How long will it take the boat to reach the opposite shore?
1. The boat can travel 3.5 m/s and the river has a flow of 1.9 m/s. The river is 150m wide.

2. The boat can travel 5 m/s and the river has a flow of 3 m/s. The river is 75m wide.

3. The boat can travel 4.2 m/s and the river has a flow of 1 m/s. The river is 125m wide.

4. The boat can travel 8 m/s and the river has a flow of 5.6 m/s. The river is 110m wide.

Answer:

6.50

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Compare the ratios of the longer side length to the shorter side length:

8 : 10 = (3x - 9) : 15

8*(3/2) : 15 = (3x - 9) : 15

Then, form an equation.

8 * (3/2) = 3x - 9

12 = 3x - 9

21 = 3x

7 = x

Step-by-step explanation:

in the slope- intercept form

y = mx + b

m is the slope, b is the y-intercept (the y-value when x = 0).

a parallel line must have the same slope, but a different y- intercept.

as you can see, the slope is always the factor of x, when we have a "y = ..." form.

so, coming from

3x + 4y = 15

4y = -3x + 15

y = (-3/4)x + 15/4

the slope is therefore -3/4.

b we get by using the given point coordinates in the equation :

-2 = (-3/4)×8 + b = -24/4 + b

b = -2 + 24/4 = -2 + 6 = 4

so, the full equation is

y = (-3/4)x + 4

The value of x when f(x) of 8 according to the graph is; 4.

In order to determine a point's coordinates in a coordinate system, you must do the opposite. Start at the point and move in a vertical line in either an upwards or downwards direction to the x-axis. Here is the x-coordinate for you. Next, repeat the process while following a horizontal line to determine the y-coordinate.

According to the graph;

To determine the value of x when f(x) = 8.

We must plot a line of the equation; y = 8.

This y = 8 line produces a horizontal line.

The point at which the horizontal line, y = 8 intersects the given graph has an x coordinate.

Ultimately, this point has x coordinates of 4, making 4 the value of x when f(x) = 8.

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In Standard Form , [tex]y = -\frac{4x}{3} + 2[/tex] can be written as 4x+3y =6 .

What is Standard Form of a Equation ?

Ax+By=C

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

The standard form of a linear equation is helpful for determining the x and y-intercepts of a graphed equation. It also helps you understand the concept of least common denominators, which is finding the lowest number to multiply and thus convert two fractions into whole numbers.

Given Equation :[tex]y = -\frac{4x}{3} + 2\\[/tex]

To convert it into Standard form , Multiply both sides with 3

[tex]3y = 3(\frac{-4x}{3} +2)[/tex]

[tex]3y = -4x + 6\\4x + 3y = 6[/tex]

Hence , In Standard Form , [tex]y = -\frac{4x}{3} + 2[/tex] can be written as 4x+3y =6 .

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The nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.

Any number sequence in which the second difference between any two successive terms is constant is referred to as a quadratic sequence. Think about the example below: 1;2;4;7;11;… We observe that all of the second differences equal one.

When the nth term rule includes a n2, the sequence is said to be quadratic (remember, a term is the word for a number in a sequence). A quadratic sequence's terms do not share a difference, in contrast to a linear sequence. The nth term of an arithmetic series can be calculated using our understanding of finding the nth term to be 2 n 2n 2n.

Let us assume that n=6,

aₙ=(n+1)(3n-1)

a₆=(6+1)(3(6)-1)

a₆=7(17)

a₆=119

Therefore, the nth term of the following quadratic sequence -1, 4, 15, 32, 55 is 119.

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The factored form of the equation x² + 11x + 24  is  (x + 3)(x + 8).

A quadratic equation is an algebraic equation of the second degree in x. Quadratic equation can be represented in standard form as follows:

ax² + bx + c

where

Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.

Therefore, let's factor the equation x² + 11x + 24 as follows:

x² + 11x + 24

The two numbers we can add to get 11 and multiply to get 24 are 3 and 8.

Therefore,

x² + 3x + 8x + 24

x(x + 3) + 8(x + 3)

Hence, the factored form is (x + 3)(x + 8)

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The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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Answer:

11 and 13

(11x13)

The group rents 11 person tubes and 4 cooler tubes.

Let the no. of person tubes = x

Let the no. of cooler tubes = y

According to question,

Total no. of tubes = 15

Therefore,    x + y = 15                      ......... (I)

Cost of one person tube = $ 20

    Cost of x person tube = 20x

Cost of one cooler tube = $ 12.50

    Cost of y cooler tube = 12.5y

According to question,

                     Total cost = $ 270

Therefore, 20x + 12.5y = 270           .......... (II)

By solving equation (I) and (II), we get

x = 11

y = 4

Hence, The group rents 11 person tubes and 4 cooler tubes.

Correct Question :

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. How many of each type of tube does the group rent? Person tube $20 Cooler tube $12.50.

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The number of containers that he can fill is 3108.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The formula for the division of fractions is:

= a/b ÷ c/d

= a x d / b x c

Amount of rice in a container = 1/4 kg

The total amount of rice = 777 kg.

The number of containers.

= 777 ÷ (1/4)

= 777/(1/4)

= 777 x 4

= 3108

Thus,

The number of containers is 3108.

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The value of x is 21.

If the ratios of the lengths of the respective sides of two figures are the same and their corresponding angles are congruent, then the figures are said to be similar.

Given that, the corresponding angles of the two trapezoids are equal, therefore, the trapezoids are similar.

Since the trapezoids are similar, the ratio of their corresponding sides are in proportional:

14/18 = x/27

x = 27× (14/18)

x = 21

Hence, the value of x is 21.

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Therefore, the total cost of producing the first 16 units of a certain commodity is 28940.

The mathematical formula for a straight line on a graph is called a linear equation. Y = mx + b, where m is the line's slope  b seems to be the y-intercept, or the place where the line crosses the y-axis, is how it is expressed. Because they simply have one variable and no exponents, linear equations are comparatively easy to solve. They may be used to simulate a variety of real-world events, including population increase and the supply-demand connection in the economy. Generally speaking, linear equations are a fundamental algebraic tool produced and are used to represent and analyse a wide variety of data types.

How to solve?

dc/da = [tex]9x^{2} + 4x + 15x^(1/4) +10[/tex]

Differentiate with respect to x

dc/da = [tex]18x + 4 + 15/4 x^(-3/4)[/tex]

input the value 100 for the value of x,

dc/da = 1800 + 4.75

dc/da = 1808.75

To produce the first 16 units,

1808.75 × 16 = 28940

The cost of producing the first 16 units is 28940

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The area of the triangle with two sides of 8 and 11 units and an angle of 75°

is 85 units².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in a ΔABC area of the triangle is (a×b×sinC).

The given triangle has two sides 8 units and 11 units and the angle to the unknown side is 75°.

∴ The area of the triangle is (8×11×sin75°) units².

= 88sin75° units².

= 85 units².

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Answer:

Step-by-step explanation:

For number 1, It is $52.4

Divide the cost by the number f days to get your constant

for number 2, It is 2

Just format it to y=mx+b

I do not know the answer to the third one

And the fourth one it is true with a 1/25 fraction

Answer:

so the(g) semicircle should go up top with

By using linear inequation it can be calculated that-

One possible solution is Aiden has 8 quarters and 14 dimes

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation

Aaden has z quarters and y dimes.

He has no more than 22 coins

z + y ≤ 22

z ≤ -y + 22 .... (1)

He has no less than $3.60 combined.

0.25z + 0.1y ≥ 3.60

5z  + 2y ≥ 45

5z ≥ -2y + 45

z ≥ -0.4y + 9 .... (2)

This system of linear inequation is solved graphically

From the graph it is clear that

one solution is z = 8 and y = 14

One possible solution is Aiden has 8 quarters and 14 dimes.

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The standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

As given,

(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )

=  ( 6.31 × 10 + 2.6 )

=  ( 63.1 + 2.6 )

=  ( 65.7 )

= 65.7 × 10⁴

Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.

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The sale price of the 2nd Washing machine is more expensive and profitable than the first Washing machine, So Kareem should choose the 2nd Washing machine to get profit.

The price a buyer pays for a good or service is known as the selling price. When the selling price is greater than the cost price, then we will get a Profit. Marked price, is the amount that a seller actually receives from a customer after negotiating a price or striking a deal.

Here we have

The selling price of washing machines is $520

The first one is marked down by 40%.

The second is marked down by 10% with an additional 30% off.

For the first Washing machine,

Let x be the sale price of the machine

Given that the price is 40% marked down

=> the selling price of Washing machine = x - 40% of x

= [tex]x - \frac{40x}{100}[/tex]

= x - 0.4x = 0.8x

As we know the selling price of the washing machine = $ 520

=> 0.8x = 520

=> x = 520/0.8

=> x = 650

The sale price of the first washing machine = $ 650.

For the 2nd Washing machine,

Let y be the sale price of the machine

Given that the price is 10% marked down

=> the selling price of Washing machine = y - 10% of y

= [tex]y - \frac{10y}{100}[/tex]

= x - 0.1x = 0.9x

And given 30% off

30% off on 0.9x = 30% of 0.9x

The selling price will be = 0.9x - 30% of 0.9x

=> 0.9x - 0.27x = 0.63x

As we know the selling price of a washing machine = $ 520

=> 0.63x = 520

=> x = 520/0.63

=> x = 825.39

The sale price of the 2nd washing machine = $ 825.39.

By the above calculations

The sale price of the 2nd Washing machine is more expensive and profitable than the first Washing machine, So Kareem should choose the 2nd Washing machine to get profit.

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Answer:

D.None of the above are correcr

Step-by-step explanation:

if the population of peachwood increases by 5% every year then after 1 year 5 percent of 12,000 would be added to 12,000 and 5 percent of 12,000 is 600 so the answer would be 12,600

Option B is the correct Answer and $12600 people are in the city after 1 year.

Given the population of peachwood=12000

The rate that increases per year is given as 5%

We are given the function that g(f) = 12000 * 1.05x is considered as equation(1)

Here  x in f(x) defines the number of years that passed in the city of Peachwood

so x value is considered as 1

The f(x) is the total population of Peachwood these are two key elements in this function

Now substitute the x value in equation (1)

Therefore after 1 year, the equation would be

f(x)=12000*1.05x

f(1)=12000*1.05(1)

g(f)=$126000

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Answer:

To make sure who ever want the job is reliable and suitable for it.

Step-by-step explanation:

0

Step-by-step explanation:

The slope for this linear function would be 0.

It'd be a straight line, and slope tells you the steepness of a line, so it won't have slope.

Equation: x=-3

Image included to see line, and the two points.

Answer:

The slope is –3

Step-by-step explanation:

using the coordinate

(–3,4) and (–3,1)

x1 = –3,x2 = –3,y1 = 4, y2 = 1

using the formula for slope

m = y2 — y1/x2 — x1

m = 1 – 4/–3–(–3)

m = –3/–3+3

m = –3/0

m = –3

i hope this helps please rate the answer as brainliest so you can get some points

Answer:

Step-by-step explanation:

x<60

13.2 square ft  area of  carpet will you need .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The sum of the other two angles is 90 degrees.

                                       The triangle's base and perpendicular sides both include the right angle. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

the area of rigth triangle

      20² = 15² + x

      400 = 225 + x²

        x² = 400 - 225

        x = 13.2

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The total surface area of the shape  is 198.6cm²

Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc.

From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm

Radius r = 10/2= 5cm

Area of circle A= πr²A= 3.142*5²

A= 3.142*25

A= 78.55

A= 78.6cm²

The remaining part of the shape is a rectangle with length (22-10)= 12cm

I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10

The rectangle has a width of 10cm

Area of rectangle A=12*10= 120cm²

Hence the total surface area of the shape

Total area = 120+78.6  = 198.6cm²

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Answer: 3/8

Step-by-step explanation:

The total number is 11 paper clips

We know that three are gold

And the question ask what fraction of the paper clips are gold

So take 3 divided by the total

So the fraction is 3/8

Answer:y=-1/7x+26/7

Step-by-step explanation: y=mx+b substitute m=-1/7

y=-1/7x+b

The line passes through the point (-2,4)

This means x=-2 and y=4 must be substituted in the above equation

4=-1/7*-2+b

4=2/7+b

Solve for b

To get b on its own we need take 2/7 from both sides

4-2/7=2/7-2/7+b

26/7=b

Need to solve 4/1-2/7

Must make denominators the same

Multiply top and bottom by 7

4*7/1*7-2/7

28/7-2/7=26/7

Answer:

195

Step-by-step explanation:

Formula: A=1/2*b*h

6*65=390

390/2=195

So I multiplied those numbers together and decided to divide them by two, just like the formula wanted.

I hope this helps!!!