Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

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[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]

Answer:

r≈.8m

Step-by-step explanation:

Formula used

A=πr2

r=√a/π =√2/π ≈.79788

rounded it is .8m

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Answer:

Step-by-step explanation:

across x axis:(-4,2)

across y-axis:(4,-2)

Answer:

160

Step-by-step explanation:

we have, 45%×x = 72

or, 45÷100×x = 72

multiplying both side by 100 and diving both side by 45,

we have x= 72×100÷45

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

Answer:

y=-3x+3

Step-by-step explanation:

Answer:

Perfort the indicated operation Show your solution in

the gevin below

Answer:

im the Akash Shukla and Aap I will get them back to

The sum of money that was  shared between the three friends is $8100

The ratio at which the money was shared = 7 : 9 : 11

Total ratio  = 7 + 9 + 11

Total ratio = 27

Amount received by Kerry-Ann = $3300

Let the total amount shared by the three friends be T

Amount received by Kerry-Ann = (11/27)  x  T

3300  =  11T / 27

11T  =  27(3300)

11T  =  89100

T   =  89100/11

T  =  8100

The sum of money that was  shared between the three friends is $8100

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Answer:

Step-by-step explanation:

Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2

x^2 + y^2 + 6x -6y +5 = 0

(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0

(x + 3)^2 + (y - 3)^2 = 13

The radius does not matter the centre is ( -3, +3)

The diameter must pass through the center so substituting into the equation for the line

2x-y+a = 0

-6 -3 + a = 0 so a = 9

The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.

Given :

Equation of a Circle --   [tex]x^2-2x+y^2-4y-4=0[/tex]

Equation of a Line -- 2x - y + a = 0

The following steps can be used in order to determine the value of 'a':

Step 1 - First make the equation of a circle in standard form.

[tex]x^2-2x+y^2-4y-4=0[/tex]

[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]

[tex](x-1)^2+(y-2)^2 = 3^2[/tex]

Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).

Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).

2x - y + a = 0

2(1) - 2 + a = 0

a = 0

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eat chili snacks and spicy to burn fat

Answer:

  d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

  (ax -b)² = a²x² -2abx +b²

__

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

  16x² -56x +49 = (4x -7)² . . . . the square of a difference

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

Answer:

19.228 cubic yards

Step-by-step explanation:

volume = l×w×h

[tex]v = (3.8)(2.2)(2.3) \\ = 19.228 \: {yards}^{3} [/tex]

Answer:

3

Step-by-step explanation:

20*.15=3

Answer:

2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25  97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)

Step-by-step explanation:

Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00

This is like saying finding Fractions that give you percentages between 50% and 100%

for example:

you could simplify 52/100 and get 31/50

31/50 as a decimal would be 0.52  and 0.52 falls between(0.50 and 1.00) 1/2 and 1

example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9

0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine

If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has

| a b/c| then you can also use it.

or use an online calculator or simplify if you wish

To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Answer:

x = 8 - 4y

Step-by-step explanation:

16/2 = 8

8y/2 = 4y

The value of x of the expression is x = 8 - 4y.

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,

x = (1/2)(16 - 8y)

Removing the parenthesis.

x = 16/2 - 8y/2

x = 8 - 4y

Thus,

The value of x is 8 - 4y.

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Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.

Answer: sorry no

Step-by-step explanation: sorry i dont want to explain it.

Answer:

First ratio:4/3

Second:28/9

Answer:

12,16,20,24,28,32,36,40 (continue to add 4)

Step-by-step explanation:

A function that represents the given sequence is f(n) = 4(2+n).

A sequence in which the difference between any two consecutive terms is the same is known as an arithmetic sequence.

Given that, Juan saves 12 in the first week of the year, and increases the amount each week by 4, therefore, the difference between the amount of any two consecutive weeks is 4.

Hence, it represents an arithmetic sequence with the first term a₁ = 12 and the common difference d = 4.

The nth term of an arithmetic sequence is given by:

aₙ = a₁ + (n-1)d

Substitute a₁ = 12 sand d = 4 into the above equation:

aₙ = 12 + (n-1)4

   = 12 +4n -4

   = 8 + 4n

   = 4(2+n)

Hence, a function that represents the given sequence is f(n) = 4(2+n).

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Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]

Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]

After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]

Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]

Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]

Have a great day!

After divide, the value in simplest form is, 20/7.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 7 1/2 divided by 2 5/8

Now, Divide the numbers as;

⇒ 7 1/2 divided by 2 5/8

⇒ 15/2 ÷ 21/8

⇒ 15/2 × 8 / 21

⇒ 15×8 / 2×21

⇒ 5×4/7

⇒ 20 / 7

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Given AP is -3 ,-1/2,2,..

First term = -3

Common difference = (-1/2)-(-3)

⇛d = (-1/2)+3

⇛d = (-1+6)/2

⇛ d = 5/2

We know that nth term = an = a+(n-1)d

11th term = (-3)+(11-1)(5/2)

⇛a 11 = -3+(10)(5/2)

⇛a 11 = -3+(5×5)

⇛a 11 = -3+25

⇛ a 11 = 22

11th term of the AP = 22.

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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....

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Answer:

2

Step-by-step explanation:

initial term = -3

common difference = .5

-3 + .5 for 11 times from 3 = positive 2