A second boat passes by your port, at a distance of 1,500 feet from shore. 10 seconds later, the boat is 2,000 feet away from you. how fast was the boat going?

Answers

Answer 1
Speed is distance over time
So 2000-1500=500 (how far the boat went in the given time)
the time is 10 seconds
500/10=50ft/sec.

Related Questions

Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:

Answers

The justification of step a is common denominator and the justification of step b is multiplication property of equality

How to determine the justifications?

The equation is given as:

[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]

Take the LCM

This gives

[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]

The above represents a common denominator.

Multiply both sides by 4a

[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]

The above represents the multiplication property

Hence, the justifications are common denominator and multiplication property of equality

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Step A: common denominator

Step B: multiplication property of equality

The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15

Answers

The measure of one side of the square lies between 13 and 14.

What is the measure of one side?

A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.

Area of a square = length of a side²

length of a side = √ area

√180 = 13.42

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Move a number or variable to each line to create the expression.

Answers

Answer:

y + 5x + 8

Explanation:

Has three termscoefficient of 5constant of 8

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

[tex]\rule{150pt}{2pt}[/tex]

what’s the volume of the prism?

Answers

Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

Find the value of X
A. 32
3. 48
C. 92
D. 64

Answers

The answer is D. 64 but i could be wrong

which of the following rational functions is graphed below?​

Answers

The graph represents the function (D) because the graph of the function  is not defined at x = 1 and x = 2 option (D) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

If we take the function:

[tex]\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}[/tex]

At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.

The function is not defined at x = 1 and x = 2.

Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.

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(a+4)²-11(a+4)- 42 factorize ​

Answers

[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]

Answer:

(a - 10) (a + 7)

Step-by-step explanation:

⠀⠀⠀⠀□ Question

(a + 4)² - 11(a + 4) - 42

Fractorize

⠀⠀⠀⠀■ Solution

Let (a + 4) = x

So the equation will be

[tex] \sf \large {x}^{2} - 11x - 42[/tex]

Using spitting the middle term method.

[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]

Taking common

[tex] \sf x(x - 14) + 3(x - 14)[/tex]

[tex] \sf (x - 14)(x + 3)[/tex]

Putting value of 'x'

[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]

Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm

Answers

Answer:

0.52cm2

Step-by-step explanation:

l of Arc =tita/360×2πr

15/360×2×22/7×2

-(6)³;(-6)³
what is the answer to this? ​

Answers

Answer:

Step-by-step explanation:

-(6)³=-6×6×6=-216

(-6)³=(-6)×(-6)×(-6)=-216

Simplify the expression. Write your answer as a power.

Answers

Answer:

If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.

Someone help, will give brainliest.

Answers

The correct answer is option C which is nine more than two-fifths of the number is nine.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.

The given expression is:-

( 2 / 5) x  +  9 = 9

The expression can be written in the words nine more than two-fifths of the number is nine.

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-7- -13 ( subtracting integers) ​

Answers

Answer:

Looking at the problem we come across one issue where we have two minus signs.  However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1.  Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13.  Now we just combine and we get 6.

Answer:

6

Step-by-step explanation:

[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]

help me please!!!!!!!!!!!!!

Answers

Answer:

0.973

Step-by-step explanation:

Solution

I'm going to discuss one way to do it, and then show a much better way.

If you attack the problem directly, there are 3 ways of placing just 1 day not being late

0.7 * 0.3 * 0.3  = .063

0.3 * 0.7 * 0.3 =  .063

0.3 * 0.3 * 0.7  = 0.63

Making it on on time on two days gives you 3 equations as well

0.7* 0.7 * 0.3 = .147

0.7* 0.3 * 0.7 = .147

0.3 * 0.7 * 0.7 = .147

Making it on time all three days

0.7 * 0.7 * 0.7 = .343

If you add add these up, you should get 0.973

There is a better way. First calculate what happens if he is late all three days.

0.3 * 0.3 * 0.3 = 0.027     No on times (.7) anywhere.

If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?

A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?

a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40

Answers

From the calculation, we can see that, the  probability that an employee has registered for both recreational activities and gym memberships is 1/40.

What is probability?

The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.

Given that;

Number that registered for recreational activities = 95

Number that registered for gym membership = 80

Number that did not register at all = 30

Total number of gym employees =200

Hence; 95 + 80 +30 =205

Number that registered for both recreational activities and gym membership

= 205 - 200 =5

The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40

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Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

The length of the third side is [tex]≈15.7[/tex]

Step-by-step explanation:

Note:

Phitagors theorem:

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c: hypotenuse[/tex]

[tex]a: altitude[/tex]

[tex]b: base[/tex]

1) Using Phitagors theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c^{2}=14^{2}+7^{2}[/tex]

2) Calculate

[tex]c^{2}=245[/tex]

3) Take the square root of both sides of the equation

[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]

[tex]c=\sqrt{245}[/tex]

[tex]c≈15.7[/tex]

9+n=-2
how do i find the unknown exponent n?

Answers

9 + n = -2
-9 -9 Get rid of 9 from both sides

n = -2 - 9

n = -11

Please, please help. Unit test is due. (K12 User)


​△ACB​ is bisected by CP←→. m∠PCB=65° and PB=11 ft.

What is the approximate area of each half of ​△ACB​ ?


28 ft²

56 ft²

67 ft²

143 ft²

Answers

The approximate area of each half of ​△ACB is 28 square feet

Area of a triangle

The formula for calculating the area of a triangle is expressed as:

A = 0.5absintheta

Given the following

PB =11ft

<PCB = 65degrees

Using the SOH CAH TOA identity

tan<PCB = 11/CP
CP = 11/tan65
CP = 5.13 ft

Determine the required area

Area = 0.5(11)(5.13)sin90

Area = 5.5 * 5.13

Area . = 28 square ft

Hence the approximate area of each half of ​△ACB is 28 square feet

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goddesboi



this one!



what’s the answer?


thanks ^^

Answers

Answer:

C) 20.97 AED

Step-by-step explanation:

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as [tex]\displaystyle E(X)=\mu=\sum xP(x)[/tex].

Here, x represents values of the random variable X, [tex]P(x)[/tex] represents the corresponding probability, and symbol [tex]\displaystyle \sum[/tex] represents the sum of all products [tex]xP(x)[/tex]. Here we use the symbol [tex]\mu[/tex] for the mean because it is a parameter. It represents the mean of a population.

In this case, the expected value of the ticket is [tex]\displaystyle E(X)=\mu=\sum xP(x)=12(0.08)+18(0.15)+20(0.31)+22(0.08)+24(0.15)+25(0.23)=20.97[/tex]

This means that Ahmad can expect to win 20.97 AED for the ticket.

options 1: mean, median

options 2: 2 inches, 2.5 inches, 3 inches, 3.2 inches

Answers

Answer:

either the median is 2 inches or the mean is 3.2 inches, but i think it is median since the question asks for the center

Step-by-step explanation:

Question 1
Which is the largest value?

Answers

Answer:

the third option 6 squareroot of 5 would be the largest value

Step-by-step explanation:

3 squareroot of 7 is also 63 squareroot

5 squareroot of 3 is also 75 squareroot

6 squareroot of 5 is also 180 squareroot

2 squareroot of 8 is also 32 squareroot

Help with this question please my last question

Answers

Answer:

∠A≅∠Z         AB≅ZX

∠B≅∠X          AC≅ZY

∠C≅∠Y          BC≅XY

ΔCBA≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Let me know if you ever need help !

Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $33.50 and wrapping paper that was $2.94. If he earns $5.75 for each lawn he mows, how many lawns will he need to complete to buy the gift and wrapping? ​

Answers

6 lawns I’m guessing.
he would have to cut 7 lawns because $33.50 and $2.94 equal $36.44. You would divide it by $5.75 but you would get 6.3 so you round it to 7

3.
Which is a true statement about two numerical sets of data that have positive
association?

Answers

Answer:
D. As one variable increases, the other
variable decreases
Step-by-step explanation:
Negative correlation also called inverse
correlation is a relation between two
variables whereby they behave in opposite
manner.When one variable moves in an
increasing direction, the other variable
moves in a decreasing direction.

A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?

Answers

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

Answer of y is 6.

Refer image

In which of the expressions below will x = 25? Sele
***
Ill that
apply.
X + 6
A)
= 10
3
B) x – 8 = 32
C) 6x – (15 + 4x) = 35
3.3
D
= 15
5
E) 4(x – 18) = 12
ОА
ОВ
OC
D D
СЕ

Answers

Answer:

C

Step-by-step explanation:

6X - (15 + 4X) = 35

6(25) - (15 + 4(25)) = 35

150 - (15 + 100) = 35

150 - (115) = 35

35 = 35 (True)

How many degrees does a minute hand move in 45 minutes?

Answers

Answer:

270°

Step-by-step explanation:

Complete angular measurement of clock = 360°

No. of minutes in one hour = 60

Angle moved in one minute = 360°/60 = 6°

Angle moved in 45 minutes = 45*6° = 270°

Solve the equation -15=8z+7.
z=

Answers

z=-11/4. Hope that helped.

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

help me please this is due tomorrow​

Answers

well I can say all but a and g are nets according to that explenation

what is 52.56 rounded to nearest hundred

Answers

Answer:

100

Step-by-step explanation:

When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.

Please help me I don’t how to do this

Answers

Answer:

C. 5f +25

Step-by-step explanation:

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