Changing the subject of an equation involves solving for another variable in the equation
The equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
How to change the subject of the equationThe equation is given as:
[tex]N=\sqrt[2]{\frac{y_i-y_o}{t^2}}[/tex]
Rewrite the equation as:
[tex]N=\sqrt{\frac{y_i-y_o}{t^2}}[/tex]
Evaluate the square root of t^2
[tex]N=\frac{\sqrt{y_i-y_o}}{t}[/tex]
Multiply both sides by t
[tex]Nt=\sqrt{y_i-y_o}[/tex]
Make t the subject, in the above equation
[tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
Hence, the equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
Read more about subject of formula at:
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A card is drawn from a deck of cards, Then the card is replaced, the deck is reshuffled, second card is drawn. What is the probability of getting.
1. a 3 on the first draw and a red card on the second draw?
2. an ace on the first draw and a heart on the second draw?
3. a queen on the first draw and a king on the second draw
4. a jack on the first draw and multiple of 5 on the second draw
Answer:
https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182
Step-by-step explanation:
:)
Pierce removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −17x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
C. (5x − 1)(2x − 3)
Step-by-step explanation:
A. 10(x − 3)2 − 1
B. 10(x − 1)2 − 3
C. (5x − 1)(2x − 3)
D. 10(0)2 − 17(0) + 3
Given
10x^2 −17x + 3
To find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
The trough is already empty
Find the factors of quadratic equation
10x^2 - 15x - 2x + 3
Factorise
5x(2x - 3) - 1(2x - 3)
(5x - 1) (2x - 3)
The correct answer is C. (5x − 1)(2x − 3)
i need is asap pls : −2w+10−7w−5
a. 5w+15
b. −9w+15
c. 5w+5
d. 5−9w
Answer:D
Step-by-step explanation:
-2w-7w+10-5
-9w+5 or 5-9w
Answer:
The answer is D .
-9w +5 is the same as 5-9w
5x - 6 = 3x + 4
X= -2
X= 5
All real numbers
X=2
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 6 = 3x + 4
Step 2: Solve for x
Subtract 3x on both sides: 2x - 6 = 4Add 6 to both sides: 2x = 10Divide both sides by 2: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 6 = 3(5) + 4
25 - 6 = 15 + 4
19 = 19
Answer:
X= 5
Step-by-step explanation:
5*5-6=19
3*5+4=19
Help me with my math 8th grade
Answer:
Step-by-step explanation:
x= -4,
(4(-4) + 8)^2
= (-16 + 8)^2
= (-8)^2
= -8 x -8
= 64
Answer:
64
Step-by-step explanation:
substitute x = - 4 into the expression
(4(- 4) + 8 )²
= (- 16 + 8)²
= (- 8)²
= 64
Factor completely. 36c^2−8cd+49d^2
[tex]\huge\bold\green{Answer:-}[/tex]
Simplifying
36c2 + -84cd + 49d2 = 0
Reorder the terms:
-84cd + 36c2 + 49d2 = 0
Solving
-84cd + 36c2 + 49d2 = 0
Solving for variable 'c'.
Factor a trinomial.
(6c + -7d)(6c + -7d) = 0
Subproblem 1
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Subproblem 2
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Solution
c = {1.166666667d, 1.166666667d}
I HOPE IT HELPS ♥️
The product of Evie's age with Genna's is 143. Evie is 13 years old. Let Genna's age be g.
Write an equation involving g and solve it to find Genna's age.
[(3-^5)(3^4)]^3 I have no clue what to do here please help
Answer:
[tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x
The factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
What will be the factor of the given equation?The given expression is
[tex]=144-7x^2[/tex]
Now we can also write this
[tex]=(12^2-7x^2)[/tex]
By using the formula
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
Now form the above formula
[tex]=(12+7x)(12-7x)[/tex]
Thus the factor of the given equation will be [tex](12+7x)(12-7x)[/tex]
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Estimate: 25.1 divided by 8
Answer:
3
Step-by-step explanation:
round both up to nearest 10
25.1 = 30
8 = 10
30 / 10 = 3
confirmation;
25.1 / 8 = 3.1375 i think it checks out
During the summer, Alex earns some money mowing his neighbors' lawns. He is being paid $6.00 per hour. In June, he worked 11 hours. In July, he worked 19 hours. How much money did he earn in June and July altogether?
Answer:
$180
Step-by-step explanation:
Alex gets paid for $6.00 PER hour
In June:
Alex worked for 11 hours.
In July:
19 hours.
You can do 19*6.00 (Lets just do 19*6 for now to make it easier)
19*6=114
Change it to $144.00
In June:
You can do 11*$6.00. '(Lets just do 11*6 for now to make it easier)
11*6=66.
Change it to $66.00
Add the money Alex earned.
June + July= $66+144=$180
I’m in 7th grade and I need help :(((( I don’t understand adding, subtracting, multiplying, dividing numbers. Like this is all I know Ik this is for multiply and divide but Ik a negative times negative = positive and positive time’s positive = positive and negative times positive = negative and positive time’s negative = negative but can someone tell me the thing like that but for adding and subtracting please
Hi! Hope this helps
(- stands for negative and + stands for positive)
Adding
- plus + = - or + depending on the numbers (If you have -7 + 3 it equals -4, but -3 + 7 = 4)
+ plus + = + (Simple)
- plus - = - (Like regular addition, except -2 + -3 would be -5)
Subtraction
- minus + = - (If you have -7 - 3 it equals -10, and -3 - 7 = -10)
- minus - = + (If you have -3 - (-4) = 1)
+ minus + = - or + depending on the numbers ( If you have 8 - 4 it equals 4, but if you subtract 8 from 4, it is -4
Which function passes through (3,0)?
Answer:
C
Step-by-step explanation:
[tex] |3| - 3 = 3 - 3 = 0[/tex]
HELP ASAP!!!!!!!!!!!!!!!
Answer:
( 8, -1 )
Step-by-step explanation:
The intersection where the two lines meet is ( 8, -1 ). 8 is from the x-axis, -1 is from the y-axis
Answer:
( 8, -1 )
Step-by-step explanation:
The intersection where the two lines meet.
Base on the graphs ( 8, -1 ):
8 is from the x-axis and -1 is from the y-axis.
You can also refer to the picture below:
~Learn with Lenvy~
hegarty maths- help asap please 1
Answer:
x ≈ 3.4 mm
Step-by-step explanation:
using the Sine Rule in the triangle
[tex]\frac{x}{sin27}[/tex] = [tex]\frac{7.1}{sin73}[/tex] ( cross- multiply )
x × sin73° = 7.1 × sin27° ( divide both sides by sin73° )
x = [tex]\frac{7.1sin27}{sin73}[/tex] ≈ 3.4 mm ( to 1 dec. place )
Jamal wants to save at least 8 percent of his income every month for a assume he gets a $100 allowance every month from his grandfather and he makes an average of $320 a month working part time after school. How much will he save in one year?
Will get 100 points and a brainlist. Calculate the height of this rectangle. Please help ASAP!
Answer:
height = 1/2 ft
Step-by-step explanation:
area of rectangle = width × height
Given:
area = 5/6 ft²width = 5/3 ft⇒ 5/6 = 5/3 × height
⇒ height = 5/6 ÷ 5/3
⇒ height = 5/6 × 3/5
⇒ height = 15/30
⇒ height = 1/2 ft
Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
__
Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
__
Additional comment
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
Putting 100 points to whoever can solve this
check attachment
Answer:
The syntax ↓
[tex]1.2 * 4 = 4.8\\3 * 3 * 3 = 27\\14.7 / 7 = 2.1\\+ 27 = 29.1\\- 4.8 = 24.3[/tex]
It's 24.3 try it.
Hope this helps!
Please give brainliest, i need 3 more :)
Answer:
24.3
Step-by-step explanation:
Here we need to evaluate,
[tex]\longrightarrow 3^3 +14.7\div 7-(1.2\times 4)[/tex]
First of all we need to know about BODMAS , which stands for ,
B = BracketsO = of D = divisionM = multiplicationA = AdditionS = SubtractionThis means first we need to solve brackets , then of , then division , then multiplication, then addition and finally subtraction.
In the given questions, firstly solve the terms inside the brackets ,
[tex]\longrightarrow 3^3 +14.7 \div 7 -(1.2\times 4)[/tex]
Multiply 1.2 and 4 ,
[tex]\longrightarrow 3^3+14.7\div 7-(4.8) [/tex]
Now perform division , that is divide 14.7 by 7
[tex]\longrightarrow 3^3 + 2.1 - 4.8 [/tex]
Simplify 3³ .
[tex]\longrightarrow (3)(3)(3)+2.1-4.8= 27+2.1-4.8[/tex]
Add ,
[tex]\longrightarrow 29.1 -4.8[/tex]
Finally subtract,
[tex]\longrightarrow \underline{\underline{\boldsymbol{ 24.3 }}}[/tex]
And we are done!
EXPLAIN IT IN COMPLETE SENTENCES OR WHATEVER YOU ARE SUPPOSED TO DO!! AND QUICK PLEASE!! THANM YOU SO MUCH
Answer:
The rhombus is being translated 3 units to the right.
Step-by-step explanation:
Translation is a transformation that is moving or (sliding) the image to the right, left, up, or down.
d to the power of 2 = 61
Answer: d =7.81
if d² = 61 d = √61 =7.810249676
Rounding to 7.81 should be fine
Step-by-step explanation:
Write the following as a composition of two or more non-identity functions.
(g∘ f)(x) = R(x) = 8x^3 + 5/x^3 − 5
f(x)=?
g(x)=?
g(x)=8x + 5/x- 5
f(x)=x³
g(f(x))=8x³ + 5/x³ -5
PLEASE HELP!!!!,,,,,,
The graph shows the distance covered by a runner after a given number of hours.
The runner travels
✔ 8
miles in 2 hours.
The runner’s speed is
miles per hour
Answer:
the runner runs 8 miles in 2hours the number of speed is miles per hour
In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?
A. 149.ft squared
B. 51 ft squared
C. 17 ft
D. 289 ft squared
Answer:
the square of the hypotenuse is 149 squared
Step-by-step explanation:
c= the square root of a^2+b^2=the square root of 7^2+10^2=12.20656
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
Answer
Step-by-step explanation i need more info
M.2 Triangles and bisectors
What is VY?
Answer:
86 degrees because it is even with the 86 on the other side and all of the other angles match up.
Walking up to a store, you see a sign that says 35% off the entire store. While shopping inside you see this new video game you have been wanting. The price sticker says that it costs, $39.99. How much will it be after the discount?
Answer:
$25.99
Step-by-step explanation:
This figure has two intersecting lines and a ray. What is the value of X 19 degrees 37 degrees 72 degrees 108 degrees
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2×5+1÷2×16+1 in a fraction and in it's simplest form
Answer:
19/1
Step-by-step explanation:
(2x5)+1÷2x16+1
10+(1÷2)x16+1
10+(1/2x 16)+1
(10+8)+1
18+1
19=19/1
Hey there!
=> 2×5+1÷2×16+1
=> 10 + 1 ÷ 32 + 1
=> 11 ÷ 33
=> [tex] \frac{11}{33} [/tex]
=> [tex] \frac{1}{3} [/tex]