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:
speed in still water is v=40 speed of current
PLEASE HELP -7y + 11 = 75 + y
Answer:
y = -8
Step-by-step explanation:
-7y + 11 = 75 + y
Bring the "y" variable on one side, and rest on the other.
Rearranging, we get,
-7y - y = 75 - 11
-8y = 64
-y = 8
y = -8
Hope it helps :)
Please help!! Best answer gets brainliest<3
Avery had 25.92 in her wallet. If she bought lunch with 7 1/2 dollars from her wallet, how much did she have in her wallet after lunch?
It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?
Answer:
43 messages
Step-by-step explanation:
Given:
146 messages = $21.90
x messages = $6.45
Finding x by cross-multiplication:
x = 146*6.45/21.90 = 43
Hope this helps! :)
Which type of correlation does this scatterplot show?
Answer:
i think the answer to this question is positive correlation
Step-by-step explanation:
this image below may help u
It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
[tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
Fill in the missing numbers below.
5 feet + 12 inches = blank
yard(s)
Blank inches = 1 foot + 1 yard
Blank feet = 3 feet + 24 inches
Answer:
5 feet + 12 inches = 2 yards
48 inches = 1 foot + 1 yard
5 feet = 3 feet + 24 inches
Step-by-step explanation:
To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:
1 feet = 12 inches
3 feet = 1 yard
To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.
12 inches = 1 feet
Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.
Blank inches = 1 foot + 1 yard
To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.
Blank feet = 3 feet + 24 inches
Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.
11. The profit Samantha's company makes is
given by the expression 0.1(1000 + 300m)
where m is the total number of sales.
Rewrite the expression using the distributive
property. What is the profit if her company
sells 50 pieces of merchandise?
Answer: 0.1(1000 + 300m)
Use the distributive property: a x (b + c) = a x b + a x c
0.1 x 1000 + 0.1 x 300m
Evaluate both products: 100 + 30m (1)
Note: Multiplying a number by 0.1 is the same as dividing the number by 10.
We need to determine the profit when 50 pieces are sold.
Substitute m with 50 in equation (1).
100+30(50)
Evaluate product: 100 + 1500
Evaluate sum" 1600
Thus the profit is $1600.
Step-by-step explanation: I hope this helps you on any other problem! :)
Good Luck!
PLEASE HELP ME WITH GEOMETRY
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
−10sin(x)=−4csc(x)+3
-10 sin(x) = -4 csc(x) + 3
Recall that csc(x) = 1/sin(x) :
-10 sin(x) = -4/sin(x) + 3
Multiply both sides by sin(x) :
-10 sin²(x) = -4 + 3 sin(x)
Move everything to one side:
10 sin²(x) + 3 sin(x) - 4 = 0
Factorize the left side:
(2 sin(x) - 1) (5 sin(x) + 4) = 0
Then we have two cases,
2 sin(x) - 1 = 0 or 5 sin(x) + 4 = 0
Solve for sin(x) :
sin(x) = 1/2 or sin(x) = -4/5
Solve for x :
• if sin(x) = 1/2, then
x = arcsin(1/2) + 2nπ or x = π - arcsin(1/2) + 2nπ
x = π/6 + 2nπ or x = 5π/6 + 2nπ
• if sin(x) = -4/5, then
x = arcsin(-4/5) + 2nπ or x = π - arcsin(-4/5) + 2nπ
x = -arcsin(4/5) + 2nπ or x = π + arcsin(4/5) + 2nπ
(where n is any integer)
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
Write g(x)=40x+4x2 in vertex form
The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm2. What is the height of the container? PLEASE FAST!!
Answer:
40cm
Step-by-step explanation:
volume of a cylinder= πr²h
V=24litres, Area=πr²=600cm², height=?
converting litres to cm³
1litre=1000cm³
24litres= 24×1000
=24000cm³
24000=600× h
h= 24000/600
= 40cm
Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
y=40x+4
y=4x+40
y=12x
y=3x+50
please help
Answer:
Plan One: y=4x+40
Plan Two: y=12x
Step-by-step explanation:
Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?
Answer:
$8x + $12y = $120
Step-by-step explanation:
x = amount of juice
y = amount of pizza
$120 = his total money
4x+6<-6 how to solve
Answer:
The answer is below.
Step-by-step explanation:
4x<-6-6
4x<-12
x= -3
Inequality form:
x< -3
Interval Notion:
(-8,-3)
Note: Turn the -8 on the sideways on the right, because its not 8.
Answer: x < -3
Step-by-step explanation: 4x+6=-6
-6 -6
4x/4 -12/4
x<-3
help me plsssssssssssssssssssssssssss
Answer:
This answer would be c
Step-by-step explanation:
I need help! Whoever can solve this I'll give you the brainliest!
Answer:
it should be 21 if I did this right.
Step-by-step explanation:
you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21
PLEASE HELP I HAVE A TIME LIMIT ON THIS!!
There are 4 circles and 16 squares. What is the simplest ratio of circles to the total of shapes
Answer:
Not including circles in total shapes: 1 circle to every 4 squares or 1:4
Including circles in total shapes: 1 circle to every 5 shapes or 1:5
Step-by-step explanation:
16 ÷ 4 = 4
20 ÷ 4 = 5
Answer: 1:5
Step-by-step explanation:
Choose yes or no to tell whether each expression is equivalent to -4/3p-2/5
A. -2/5-4/3p
B.2/5-4/3p
C.-2/5-4/3p
D.-4/3p+(-2/5)
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
In November 2017, the monthly profit of a company was £9,197
In December, Christmas increased sales and the profit has doubled.
What was the company's profit in December 2017?
Answer:
18394
Step-by-step explanation:
9197 × 2 = 18394 You double 91972
to work out the profit in December
the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?
Answer:
p=1
Step-by-step explanation:
[tex]\frac{4-p}{1-0}[/tex]=3
4-p=3
p=1
Determine the slope from the given graph below:
The slope is−17
The slope is 5
The slope is 7
The slope is -5
Answer:
The slope is positive 7
Step-by-step explanation:
The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)
Answer:
The slope is 7
Step-by-step explanation:
(1,2)(0,-5)
[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]
Hope this helps
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
Learn more about functions here:
https://brainly.com/question/13395697
The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?
y-5=2(x-3) slope intercept.
Answer:
y=2x-1
Step-by-step explanation:
Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).
y-5=2x-6 Distribute.
+5 +5 Add 5 to both sides of the equation.
y=2x-1
Hope this helped! Have a great day ♥