A river flows due south at 100 ft/min. A motorboat that travels 450 ft./min. in still water is headed due east across the river. Find the resultant speed of the boat.
round to the nearest ft./min.​

Answer:

5*2=10

Step-by-step explanation:

Use the given functions to set up and simplify

Sub 2 in for x and you get 5*2=10

Answer:

it's 12

4, 8, 12

6, 12

Answer:

2880

Step-by-step explanation:

!=factorial. Factorial means you are multiplying by a number by the numbers less than it.

so that means 6*5*4*3*2*1=720.

And the factorial of 4 is 4*3*2=24.

24^2=576

So now we have to find the LCM of 576 and 720.

I will use the prime factorization method so the prime factorization of 576 is:

2*2*2*2*2*2*3*3

Prime factorization of 720:

2*2*2*2*3*3*5

So we first we gotta find the GCF, which is 2*2*2*2*3*3 because that is something that they both share in their prime factorizations. So the answer to the GCF is 144.

So now, the numbers that we did not use which is a 2 and another 2 and a 5. So 2*2*5=20

Answer:

-2,4,1,-4

Step-by-step explanation:

it is stated that y should be on the right while x on the left.

Answer:

Step-by-step explanation:

To convert a fraction into a decimal, first convert the fraction into a percentage by multiplying it by 100. Then, divide it by 100 to get your decimal.

Now, divide it by 100 to get your decimal.

Hence, 0.4 is equivalent to 4/10

Answer:

2.5 meters

Step-by-step explanation:

100 cm=1 meter 250/100=2.5

Answer:

6

Step-by-step explanation:

15 dollars - 1.08=13.92 which is what he spent.

13.92/2.32 to calculate how many cups he bought.

13.92/2.32=6 cups

Answer:

I do believe it is C

Step-by-step explanation:

since 6,5 + 2.4 = 8, 9

k-3+3<5+3 is the explanation and the answer is k<8

Answer

.....................

All are true, so none are not TRUE.

Answer:

(80)+40=120

Step-by-step explanation:

(50+30)+40

120

The required simplified value is 120.

Given that,
Top simplify the expression following the associative property.
(50 + 30) + 40.

In mathematics, it deals with numbers of operations according to the statements. There are ,four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= (50 + 30) + 40
Simplification, using associative property, in parenthesis 50 + 30 become 80.

= 80 + 40
Again using associative property, 80 + 40 become 120
= 120

Thus, the reequired simplified value is 120.

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#SPJ2

Answer:

-7/30

Have a great day!

Answer:

1 21/70

Step-by-step explanation:

 14/7 x 10/10 = 140/70

- 7/10 x 7/7 =    49/70

_______

140/70 and 49/70 both have an equal denominator (bottom number) now, so now we can find the difference (subtract).

 140/70

- 49/70

_________

91/70

Now, simplify.

1 21/70

Answer:

2.66666666667

Step-by-step explanation:

2.6666666667x3=8

111111111111111111111111111

Answer:

3 I think because that's what makes sense to me so hopefully it is correct

Answer:

Sales tax=$1.56

Step-by-step explanation:

Solution,

Item cost=$26

Sales tax=6%

Now,

Tax amount=ICxST

$[tex]26*\frac{6}{100} \\\\1.56[/tex]

Answer:

Step-by-step explanation:

n other words, if the sales tax rate is 6%, divide the sales taxable receipts by 1.06. If the sales tax rate is 7.25%, divide the sales taxable receipts by 1.0725.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).

Person-years are the product of the number of people in a study and the amount of time each person spends in the study.

Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.

b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).

An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.

Sample of young women = 2,000

Period of study = 5 years

Subjects newly diagnosed with infection = 440

Total number of person-years of subjects diagnosed = 6,200

Thus, the total number of person-years in the study is 10,000 person-years, while the incidence rate is 620 per 1,000.

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Answer:

The Answer is option (D)

Answer:

C

Step-by-step explanation:

im doing this for the limit cap

Answer:

See below

Step-by-step explanation:

X-intercepts

[tex]y^2=x+16\\0^2=x+16\\0=x+16\\x=-16\\(-16,0)[/tex]

Y-intercept

[tex]y^2=x+16\\y^2=0+16\\y^2=16\\y=\pm4\\(0,-4),(0,4)[/tex]

Symmetry is on the x-axis

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

  60 mph -45 mph = 15 mph

Then the closure time is ...

  time = distance/speed

  time = (15 mi)/(15 mi/h) = 1 h

It will take the second ship 1 hour to catch up to the first ship.

Short Answer: 6 + (44 + 28)

Long Answer:

Change the parentheses to include 28 and not include 6. According the the property, changing the parentheses this way does not affect the sum. In other words, changing the order of addition does not change your answer.

Equations are expressions equated to each other. The value of x from the given equation is 6

Equations are expressions equated to each other. Given the expression;

5x + 3x = 5x + 18

Since 5x is on both sides, we will cancel it out

5x + 3x - 5x = 5x + 18 - 5x
3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Hence the value of x from the given equation is 6

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Answer:

0

Step-by-step explanation:

Vertices is defined as the highest point or the point where two lines intersect. An example of vertices are the tops of mountains. An example of vertices are the lines that form an angle in a triangle.

For example, circles and ovals are made from a single edge with no corners. Since there are no separate edges intersecting, these shapes have no vertices.

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: [tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

If [tex]\theta[/tex] is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

[tex]cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }[/tex]

⇒ [tex]\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..[/tex]

Therefore, the angle = 50.8° (to the nearest tenth of a degree)

The price is now $75.65.

Answer: 20

Step-by-step explanation:

4/10 = 8/x

4x = 80

x = 20

Answer:

9.773÷0.12=81.44166667

Answer:

9.773÷0.12

=81.44167

Step-by-step explanation:

Answer:   The rest of the statement is (3x+1) = 3x²+22x+7.