Answer:
b = -T²/k(k-m) + k
Step-by-step explanation:
Given the equation T =√k(k-b)(k-m), we are to make b the subject of the formula
Square both sides
T² = (√k(k-b)(k-m))²
T² = k(k-b)(k-m)
T²/k(k-m) = k-b
Rearrange
k - b = T²/k(k-m)
b - k = - T²/k(k-m)
Add j=k to both sides
b - k + k = - T²/k(k-m) + k
b = -T²/k(k-m) + k
This gives the required expression
Which number line can be used to find the distance between (4, -1) and (8, -1)?
O
A+
++
-2 -1 0 1 2 3 4 5 6 7 8
+
-2 -1 0 1 2 3 4 5 6 7 8
++
-2 -1 0 1 2 3 4 5 6 7 8
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
Answer:
A
Step-by-step explanation:
HELP PLEASE
Donovan designed a charm for a necklace. The charm weighs 18 oz. The chain Donovan has can support a charm that weighs up to 50 g. Can the chain support Donovan’s charm? Show your work. (1 g 5 0.353 oz)
Answer:
No, 18 oz is 50.99 g
Step-by-step explanation:
1 g = 0.353 oz
18 oz / 0.353 oz = 50.99 g
A computer valued at $4,500 depreciates at the rate of 12.2% per year. What is the value of the computer after 3 years?
Help please is for now
Answer:
x intercept (-3,0)
y intercepy (0,-6/5)
Step-by-step explanation:
uh i used a calculator but please lmk if this is correct
The net of an equilateral triangular pyramid is shown below. Use the ruler in the toolbar to the right to measure the dimensions of the net to the nearest 1/4 inch.
Which measurement is the closest to the lateral surface area of the pyramid?
A. 7 in.2
B. 5.25 in.2
C. 1.75 in.2
D. 3.5 in.2
Answer:
B. 5.25in2
Step-by-step explanation:
if a person walks 3/4 of a mile in each 2/3 hour how far does he walk in one hour
Answer:
I believe it's 9/8 miles per hour
Step-by-step explanation:
v = d/t = (3/4 mile)/(2/3 hour) = (3/4)/(2/3) miles per hour = (3/4)(3/2) miles per hour = 9/8
PLEASE HELP ME.............
Answer:
[tex]g(x)=3x^2[/tex]
The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is 8 cm in length, then the length of the other side is
don't know
Mark as brainlist
mate
We will use the Pythagorean Theorem:
[tex] {17}^{2} = {8}^{2} + {x}^{2} \\ 289 = 64 + {x}^{2} \\ {x}^{2} = 289 - 64 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]
The length of the angle is 15cm
1. Kristín is driving on the highway at 100 kilometers per hour. How long will it take Kristin to reach a rest area
150 kilometers away?
Answer:
One hour and a half.
Step-by-step explanation:
Why is this not in quadratic form?
x^6+ 5x^4 + 6
Answer and Step-by-step explanation:
Quadratic form has only the exponent of 2 and 1 in it. An example of it is as shown:
3x^2 + 4x - 12
Your expression isn't a quadratic since it has a 6 as the highest exponent, but it is a trinomial (an expression that has 3 terms).
#teamtrees #PAW (Plant And Water)
Is the triangle below a right triangle? if no, What type of triangle is it?
a
Yes, it is a right triangle
b
No, it is not right, it is acute
c
No it is not right it is obtuse
Answer:
I think it's A I hope this help you
solve each system by elimination.
3x-4y=-2
3y-2x=1
Answer:
y = -1, x = -2
Step-by-step explanation:
First, multiply the top equation by 2 to make 3x become 6x:
6x - 8y = -4
Second, multiply the bottom equation by 3 to make -2x become -6x:
9y - 6x = 3
Add the two equations together, and you get:
y = -1
Plug in y as -1 into the first or second equation:
3x - 4(-1) = -2
OR
3(-1) - 2x = 1
x = -2
If an exterior angle measure of a regular polygon is 60°, how many sides does the polygon have? What is the measure of each interior angle?
9514 1404 393
Answer:
6 sides120°Step-by-step explanation:
The sum of the measures of the exterior angles of a convex polygon is always 360°. If each is 60°, there are 360°/60° = 6 of them.
There are 6 sides.
The adjacent interior angle is the supplement of the exterior angle, so is ...
180° -60° = 120°.
Each interior angle measures 120°.
A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?
Answer:
The equation that will represent the number of grams present after n hours is [tex]A(n) = 150(0.85)^n[/tex]
3.035 grams will be left one day from now.
Step-by-step explanation:
Exponential equation for the amount of a substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time period.
A radioactive isotope is decaying at a rate of 15% every hour.
This means that [tex]r = 0.15[/tex]
Currently there are 150 grams of the substance.
This means that [tex]A(0) = 150[/tex]
Write an equation that will represent the number of grams present after n hours.
[tex]A(n) = A(0)(1-r)^n[/tex]
[tex]A(n) = 150(1-0.15)^n[/tex]
[tex]A(n) = 150(0.85)^n[/tex]
How much will be left one day from now?
One day is 24 hours, so this is A(24).
[tex]A(24) = 150(0.85)^{24} = 3.035[/tex]
3.035 grams will be left one day from now.
Kobe drove 240 miles in 6 hours. To find the unit rate, you should determine how many miles Kobe drove
in hour(s).
Answer:
40 miles per hour
Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
240 / 6 = 40
A perfume manufacturer puts 16 fluid ounces in each bottle. How many gallons will fill 96 bottles?
Answer:
12,228 ounces
Step-by-step explanation:
There are 128 ounces in a gallon. So multiply 128 ounces by the number of gallons.
128 x 96 = 12,228
96 bottles of perfume will fill 12 gallons.
Given that a perfume manufacturer puts 16 fluid ounces in each bottle.
We need to find how many gallons will fill 96 bottles,
To find the total number of gallons required to fill 96 bottles, we need to calculate the total volume in fluid ounces and then convert it to gallons.
Given that each bottle contains 16 fluid ounces, the total volume in fluid ounces for 96 bottles can be calculated as:
Total fluid ounces = 16 fluid ounces/bottle x 96 bottles
Total fluid ounces = 1,536 fluid ounces
To convert the total volume from fluid ounces to gallons, we use the conversion factor:
1 gallon = 128 fluid ounces
Therefore, the total volume in gallons is:
Total gallons = Total fluid ounces / 128 fluid ounces/gallon
Total gallons = 1,536 fluid ounces / 128 fluid ounces/gallon
Total gallons = 12 gallons
So, 96 bottles will fill 12 gallons.
Learn more about Unit Conversion click;
https://brainly.com/question/28600662
#SPJ4
Which of the following circles has an area greater than 400 square meters and less than 600 square meters? Use 3.14 for π. Select all that apply.
A.Radius: 8 meters
B.Radius: 12 meters
C.Radius: 14 meters
D.Diameter: 12 meters
E.Diameter: 22 meters
F.Diameter: 26 meters
Answer:d
Step-by-step explanation:fkjfkjfkjfkjfkjf
Which of the following numbers is the least?
Question 3 options:
7.1×109
7×109
7×108
7.1×108
Answer:
7×108
Step-by-step explanation:
7×108=756 which is the least number
A triangle has side lengths of 19 feet, 16 feet, and 18 feet. What kind of triangle is it?
Answer:
obtuse triangle
Step-by-step explanation:
13,14,15- please helppp
Answer:
Must understand distance and slope formula first:
slope y_2-y_1/x_2-x_1
distance d=√((x_2-x_1)²+(y_2-y_1)²)
(Just search up the formulas if this isn't clear)
Step-by-step explanation:
For #13 take two points and put them in the distance formula remember (#,#) the first # is 'x' the second # is the 'y' in a point.
then you could simply type all that in a calculator and a single number should pop up indicating one of the lines (doesn't matter the #) then do the same for the second points (cuz you used two already you have two left) If the number is same as the first two points it's a pallelagram. (I tested it out got 7.07...)
For the slope you're doing something similar to the distance formula, you're filling out two sets of points into the slope formula if they come out the same # it's parallel.
There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
Answer:
60 more girls are there than boys at Virginia Middle School.
In which of the expressions below will x = 4? Select all that apply.
A) 6x- 3x + 6 = 18
16
B) = 2
2x
C) 6x, 12 = 24
D) 5.5x = 22
x2 + 20
E)
= 9
5
Answer:
A
Step-by-step explanation:
6x- 3x + 6=18
6(4)- 3(4) + 6=18
24-12 + 6=18
12 +6=18
18=18
Answer:
Step-by-step explanation:
a b d e i took the test
Sadie baked her award-winning blueberry pie. After she sampled a small piece, 7/8 of the pie remained. Her family ate an additional 3/4 of the pie after dinner. What fraction of the pie is left?
Answer:
The answer is 1/8
Step-by-step explanation:
7/8 - 3/4 = 0.125
0.125 converted to a fraction is 1/8
10a - 3 of a =2 Please answer the best you can and take your time. So you can give me the best answer
which should i check
Connor’s temperature was 0.7 degrees higher last night than it was this morning. His temperature this morning was 101.2 degrees. What was his temperature last night?
Answer:
101.9 degrees
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Let's define what we have:
Conner's morning temperature: 101.2 degrees
Conner's last night temperature: morning temperature + 0.7 degrees
We know that Conner's last night temperature is addition because it was higher (key word) than the morning temperature.
Therefore, we simply add the values together to get our answer:
101.2 + 0.7 = 101.9 degrees
La media es única ? Cierto o falso
Answer:
cierto
Step-by-step explanation:
porque son diferentes cosas?
E= 10,11,12,13,14,15,16,17,18,19,20,21,22,23. A= odd numbers. b= multiples of 3. Complete the vent diagram for this information
Step-by-step explanation:
A:
11,13,17,19,23
B:
12
Middle:
15,18,21
Out:
10,14,16,20,22
en la pastelería de Luisa le regalan a una casa hogar 18 galletas dé cada 60 que se hornean a la semana si la semana pasada hornearon 720 galletas Cuántas regalaron
Answer:
La pastelería de Luisa regaló 216 galletas a la casa hogar.
Step-by-step explanation:
De acuerdo con el enunciado, la pastelería de Luisa regalan 18 galletas a una casa hogar por cada 60 galletas horneadas en una semana. El total de galletas regaladas por hornear 720 galletas se determina por la siguiente Regla de Tres Simple:
[tex]x = \frac{18}{60}\times 720[/tex]
[tex]x = 216[/tex]
La pastelería de Luisa regaló 216 galletas a la casa hogar.
What is 8 1/3 as a fraction greater than 1
Answer:
11/8
Step-by-step explanation:
thats just the answer