two piers, a and b, are located s km away from each other along a river. a motorboat, with a speed of v km/hour in still water, is cruising between the two piers. How much time t (in hours) will the motorboat need to get from pier a to pier b and back, if the speed of the current is 5km/hour? find t if: s=105 v=40

Answer: 10

Step-by-step explanation: 25% is 0.25 and 40x0.25 is 10

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

Estimating helps you so you get an idea of what the answer might be.

Step-by-step explanation:

The exact value of d is 7/√2.

The exact value of a is 9√2.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the first figure,

Sin 45 = d / 7

1/√2 = d / 7

d = 7 / √2

From the second figure,

Sin 60 = a / 6

3 /√2 = a / 6

18 / √2 = a

a = 18/√2

a = 9√2

Thus,

The exact values are:

d = 7/√2 and a = 9√2.

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Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

Linear Pair Theorem

Step-by-step explanation:

Linear Pair Theorem:

If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180°.

Answer:

-1/2

Step-by-step explanation:

y2 - y1

----------

x2 - x1

Answer:0.143

Step-by-step explanation:

Answer: C (x=1)

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

The graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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Answer: 68/7

Step-by-step explanation:

given data:

(3/2) of (4/7) multiplied by [(10x3)-(8x2)]​

first we break it down into smaller sets.

= ( 3/2 ) * (4/7 )

= 6/7 * [(10x3)-(8x2)]​

we open the brackets

=  6/7 * (10x3)-(8x2)

= 6/7 * 30 –16

= 6*30/7 –16

= 180/7 – 16

= 68/7

Answer: The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

Step-by-step explanation:

A 95% confidence interval for population mean (\(\mu\)) is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error < \(\mu\) < Sample mean + margin of error) = 0.95.

We can see here that the value of n = 16.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.

Below is how we got n.

We can see that having: \(\frac{(q^{4} )^{-3} }{q^{-15} }\)

\(\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}\)

Thus, \(\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }\)

∴ \(\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}\)

Therefore, \(q^{n} = q^{16}\)

Thus, n = 16.

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Answer: 428571/1000000

Step-by-step explanation:

Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:  see below

Step-by-step explanation:

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

\(\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1\)

Answer:

Perimeter: 20 mi

Area: 22.44 mi^2

Step-by-step explanation:

perimeter formula for a rectangle is 2 times length plus 2 times width

2(3.4)+2(6.6)

6.8+13.2

20 is the perimeter

Now for the are we multiplying the length and width to find area

3.4x6.6

22.44 is the area

Hopes this helps please mark brainliest

Answer:

The area is 6.4cm, the perimeter is 12cm

Step-by-step explanation:

The formula to calculate area is

\(A=\frac{h_{b}*b}{2}=\frac{3.2*4}{2}=6.4\)

Where \(h_{b}\) is the height

And for the perimeter, you just add up the size of the sides.

Answer:

no solution

y=x^3

y= 2-1 x 1

Step-by-step explanation:

Answer:0.70

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The price per ounce is found by dividing the price by the number of ounces. For repetitive calculations, I find a spreadsheet helpful. The formula for the 3rd column divides the second column by the first.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

-0.54

Step-by-step explanation:

Hope it helped.

• • •

Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

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Answer: Experiment

No, because telling patients about the pills introduces bias

Answer:

the answer is 40

Step-by-step explanation:

15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40

Answer:

40

Step-by-step explanation:

15.23 + 12.8 + 4.93 + 7.21

27.31 + 12.34

39.65

round the number to a whole number

40

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The y-intercept of any function is the value of the function when x = 0.

Therefore, g(x) has the greatest y-intercept.