Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
6x-3x+4-2x= no solution
Answer:
1x = 3x
Step-by-step explanation:
This is could be wrong not sure.
Which is the better deal 8 ounces of shampoo for $0.99 or 12 ounces for $1.47?
Answer:
12 ounces for $1.47.
Step-by-step explanation:
:) ello
How do I do this problem?
A teacher divides the students into three groups for project. Each group has the same number of students. Is the total number of students prime or composite? Explain period
It could be either.
1 + 1 + 1 = 3, which is prime
2 + 2 + 2 = 6, which is composite
what is the length of the missing side , x
Answer:
Yes please i really need it
Step-by-step explanation:
Help plz Easy math I know the answer isn’t A
Answer: B
Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Principle $ 20,000 Rate 5.5% Compounded Daily Time 16 years
Required:
a. Find how much money there will be in the account after the given number of years. (Assume 360 days in a year.)
b. Find the interest earned.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Principal = $20000
Interest rate = 5.5% = 0.055 compounded daily
Time = 16years =(360 * 16) = 5760
n = number of times interest is applied per period
Amount of money in account after 16 years :
A = p(1 + r/n)^nt
A = total amount
A = 20000(1 + 0.055/360)^(360*16)
A = 20000(1 + 0.0001527)^5760
A = 20000(1.0001527)^5760
A = 48193.1611
Interest on principal :
$48193.1611 - $20000
= $28193.1611
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs
170 lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1300 lb. How many boxes
of books can the delivery person bring up at one time?
Answer:
18 at most.
Step-by-step explanation:
Help me guys I suck at fractions :(
Answer:
its b are c i think
Step-by-step explanation:
A recipe calls for 18 ounces of cream cheese with 15 ounces of sugar." How many ounces of cream cheese are there per ounce of sugar?
PLEASE HELP
Answer:
1.2
Step-by-step explanation:
Just divide
Answer:
1.2
Step-by-step explanation:
Divide 18 by 15 and get the answer.
Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take to finish the bookcase
Answer:
50 mins
hope this helped :)
need help with this problem?
TRUE OR FALSE? The difference between two numbers is (-3). WHICH OF THE EXPRESSIONS COULD REPRESENT THE SUBTRACTION PROBLEM? (HINT: Solve each expression - if it equals (-3) it is TRUE - if it does NOT equal (-3) than it is FALSE) REMEMBER: Change subtraction problem into addition problem before solving. A) -4 - 1
Answer:
A) True
Step-by-step explanation:
[tex]-4,-1[/tex]
If we subtract the two numbers we get
[tex]-4-(-1)=-4+1=-3[/tex]
It can be seen that subtracting the two numbers changes the sign of one number by which we can algebraically subtract the numbers. Since, the addition of 1 shifts the number towards zero in the number line, the minus sign still remains.
So A)-4 -1 is true.
Which equation represents the situation below?
John owed the bank 7 dollars, but he made 12 dollars.
Answer:
12-7=5
Step-by-step explanation: if you u need a equation for how much he has there u go
Help me plsss!! Thank youuuu.
Answer:
The answer is B.
Step-by-step explanation:
What is the value of the expression -(-4)(-6)-3/5(10+15)
Answer:
-(-4)(-6)*3/5(10+15)
when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.
4*(-6)*3/5*(10+15)
Add the numbers (10+15)
4(-6)*3/5*25
multiplying an odd number of negative terms makes the product negative
-4*6*3/5*25
reduce the number with the greatest common factor 5
-4*6*3*5
calculate the product
solution
-360
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the
flowerbed for 16 minutes, and then fies directly back to the hive at 8 feet
per second it is away from the hive for a total of 20 minutes
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a. Write the equation Leld be the distance of the flowerbed from the hive
(Type an equation Use integers of fractions for any numbers in the equation. Do not simplity)
Answer:
a. s = [tex]\frac{d}{t}[/tex]
b. 9600 ft
Step-by-step explanation:
In the given question, the motion of the bee involves speed (s), distance (d) and its time of flight (t).
a. The equation required to determine the distance of the flowerbed from the hive/ hive to flowerbed is;
speed = [tex]\frac{distance}{time}[/tex]
i.e s = [tex]\frac{d}{t}[/tex]
b. Given that: the bee flies back at 8 feet per second, and in 20 minutes (1200 seconds);
s = [tex]\frac{d}{t}[/tex]
⇒ d = s x t
= 8 ft/s x 1200 s
= 9600 ft
The flowerbed is 9600 feet from the hive.
What is the value of x?
A) 42
B)48
C)138
D)158
Answer:
138 I think
Step-by-step explanation:
math go brrr
two times a number is four times that number minus a negative eighteen
Answer:
-9
Step-by-step explanation:
the number is x
2x = 4x - - 18
2x = 4x + 18
-2x = 18
x = -9
Answer:
-9
Step-by-step explanation:
Let's solve your equation step-by-step.
2x=4x−(−18)
Step 1: Simplify both sides of the equation.
2x=4x+18
Step 2: Subtract 4x from both sides.
2x−4x=4x+18−4x
−2x=18
Step 3: Divide both sides by -2.
−2x/−2
= 18 /−2 x
=−9
The sum of 48 and itself, its half and half of the half is added to 18.
Answer:
150
Step-by-step explanation:
This is a word problem which should be tackled accordingly.
The sum of 48 and itself
= 48+48
= 96
It's half and half of its half
= 48/2 and (48/2)/2
= 24+ 24/2
= 24+12
= 36
Is added to 18
= 96+36+18
= 150
From the description above the entire sum is 150.
Which statements about opposites are true? (Select all that are correct)
can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?
Answer:
The least common denominator is 77 so the fractions would become 63/77 and 66/77.
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 24 ? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)
Answer:
1) 8,388,608 grains of wheat.
2) 16,777,215 grains of wheat.
3) 239,674.5 pounds.
Step-by-step explanation:
Question 1)
We know that on the first square, there is 1 grain of wheat.
On the second, 2 grains of wheat.
On the third, 4 grains of wheat.
And on the fourth, 8 grains of wheat.
Therefore, we have a geometrically increasing sequence. It looks like:
1, 2, 4, 8...
Therefore, to find the number of grains on the 24th square, we can write an explicit formula.
The standard form for the explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).
We know that the initial term a is 1 because there’s one grain of wheat on the first square.
And the common ratio will be 2 because each square has double the amount of the previous square.
So, substitute 1 for a and 2 for r. This yields:
[tex]x_n=1(2)^{n-1}\\[/tex]
We can simplify this:
[tex]x_n=2^{n-1}[/tex]
So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:
[tex]x_{24}=2^{24-1}=2^{23}[/tex]
Evaluate. Use a calculator:
[tex]x_{24}=8,388,608[/tex]
Therefore, on the 24th square, there are 8,388,608 grains of wheat.
Question 2.1)
We want to find the total number of grains of wheat on the board at this time.
In other words, we want to find the sum of our geometric sequence when n is 24.
The formula for the sum of a geometric series is:
[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.
We want to find the sum after 24 times. So, n is 24.
So, substitute 24 for n, 2 for r, and 1 for a. This yields:
[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]
Evaluate. Use a calculator:
[tex]S_{24}=16, 777, 215[/tex]
Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.
Question 2.2)
And to find the weight, we will just have to multiply our total amount by 1/7000. So:
[tex]W=16777215(\frac{1}{70})[/tex]
Use a calculator:
[tex]W=239,674.5\text{ lbs}[/tex]
So, the total weight is 239,674.5 pounds.
If a =3 and b = -1, what is the value of ab-b2?
Answer:-1
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.
Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
c is opposite___
AC
AC and BC
Answer:a=bc
Step-by-step explanation:
over evaluate function
Answer:
C. hope it helps :)
Step-by-step explanation:
The volume of air in a balloon is represented by the function v(n) = nr), where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function r(t) = 4,2. Which statements are true?
Answer:
When V is composed with r, the composite function is [tex]\frac{1}{48} \pi t^{6}[/tex]
When Vr6 shows that the volume is 9724. When the radius is increased to 6 inches.
Step-by-step explanation:
Volume is determined by [tex]cm^{3}[/tex] if the balloon is filled with air its volume will be increased and the composite function will represent the volume of the balloon. The radius of the balloon will rise in seconds. If t seconds are consumed to reach to a radius of 6 inches then the pie function is used to determine the volume.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-5=-2x+ 10?
A. X=5. B.—5=x. C.—15=—5x. D.—5x=15
Answer:
A; (X=5)
Step-by-step explanation:
Move the constants and variable terms to one side:
3x-5= -2x+10
-5+10= -2x+ 3x
Combine like terms:
5=x or x=5
Answer:
The answer is C
Step-by-step explanation:
If you take the equation and simplify it.
3x-5=-2x+10
You would minus 3x from both sides, leaving the equation like
-5=-5x+10
Then you would minus 10 from both sides, leaving the equation like
-15=-5x
If you wanted to go further you could divide both sides by -1 and get rid of the negatives. Leaving the equation like
15=5x
Then to put it into the simpleist form you would divide both sides by 5, leaving the equation like
3=x
I hope this helps.
What is the additive inverse of the polynomial
9xy² + 6x²y -5x
Answer:
-9xy² - 6x²y + 5x
Step-by-step explanation:
The additive inverse of a polynomial is simply defined as the same polynomial but the difference is that the signs attached to each of the terms will change. This means that positive sign will change to negative while negative sign will change to positive.
Now, we are given the polynomial;
9xy² + 6x²y - 5x
Thus, from earlier description, additive inverse of this polynomial is;
-9xy² - 6x²y + 5x
