Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:
[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]
Applying cross multiplication:
[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]
[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]
[tex]R_2(R_1 - R_T) = R_TR_1[/tex]
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
A similar problem is given at https://brainly.com/question/24272167
What is the area of this triangle NO LINks OR I WILL REPORT
Answer:
18 square inches
Step-by-step explanation:
Area of triangle = bxh/2
b=3, h=12
Area = 3x12/2
Area = 36/2
Area = 18 square inches
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
15 to 19 was about a 27% in increase
Find the perimeter. Simplify your answer.
Answer:
6z-30 :D
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Answer:
6z - 30Step-by-step explanation:
Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10
= 6z - 30...ans
Hope it Helps you!!Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
Write an equation of the line that passes through (-6,0) and $(0,-24)
Answer:
-4
Step-by-step explanation:
Y2 = -24 and Y1 = 0
X2 = 0 and X1 = -6
Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4
y= -4x + c
y + 4x= c
Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7
The slope in the linear equation y=12x+5 is _[blank]_.
3 feet in 4 mintes
A.______________
B.______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4x4=16, so multiply 3×4 to get 12.
-4x-3y=5 3x-2y=-8 Solve by substitution
Answer:
look at the picture ..........
Answer:
y=1
x=-2
Step-by-step explanation:
Lets use substitution for the first equation:
-4x=5+3y
Divide by -4 on both sides : x=-5/4-3/4y
Now we substitute x into the second equation:
3(-5/4-3/4y)-2y=-8
Simplify : -15/4-9/4y-2y=-8
Combine Like Terms : -15/4-17/4y=-8
Isolate the Variable : -17/4y=-17/4
y=1
Now we get that x is -5/4-3/4, which is -8/4=-2
x=-2
A point is plotted on a number line at 3.7. A second point is plotted at −5.5.
What is the length of the line segment joining these points?
Enter your answer as a decimal in the box.
Answer:
9.2 units
Step-by-step explanation:
The length of the segment between the points is equal to the difference of their coordinates:
3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units
Answer:
9.2
Step-by-step explanation:
5.5+3.7=9.2
Hope this helps!
Brainliest pls
Have a great day!
How would you rewrite -5 - (-8) as an addition problem?
Answer:
if there are 2 negatives by each other it would become a postive so -5+8
Step-by-step explanation:
Answer:
-5+8
Step-by-step explanation:
minus a negative is equivalent to plus a positive
.−3(4x + 3) + 4(6x + 1) = 43
What is the answer?
Answer:
43
Step-by-step explanation:
DO the math
Are repeating decimals like 34.79 rational numbers?
Answer:
Yes. 34.79 is a rational number because it can be written as a fraction.
Step-by-step explanation:
Hoped this helped.
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
the reciprocal of 5 and 4/9
Answer:
1/5 and 9/4
Step-by-step explanation:
Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is the reciprocal of a number?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].
We have the following numbers -
5 and 4/9
We can write -
x = 5
y = 4/9
So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.
The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.
Therefore -
the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!
Answer:
a) 20.9ft b)148.5ft c)98.2ft d)50.3
Step-by-step explanation:
for a, b and c you can use SOHCAHTOA
a) sin(8)=height/150 so height=150sin(8)
b)cos(8)=distance/150 rearrange the same way
c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle
d) subtract the value found in c from the value found in a
A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.
Answer:
Step-by-step explanation:
COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))
when Anna buys 3 pencils, she spends a $1.50. Each pencil cost the same
Answer:
Each pencil is $.50
Step-by-step explanation:
If the total amount she spends is 1.50 for 3 pencils, and each pencil costs the same. Then you have to divide the total amount by the variables. Leaving your equation to be:
1.50 ÷ 3
equaling
.50
Let cost of each pencil be x
Cost of 3 pencils=3xATQ
[tex]\\ \rm\hookrightarrow 3x=1.50[/tex]
[tex]\\ \rm\hookrightarrow x=1.5/3[/tex]
[tex]\\ \rm\hookrightarrow x=0.5[/tex]
Write 4 ratio statements to compare the different types of sports balls in the collection. of 6 basket balls 5 base ball balls 3 soccer balls
Answer:
6:5:3
5:3:6
3:5:6
5:6:3
Step-by-step explanation:
Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of the function.
The initial value is
.
The simplified base is
.
The domain is
.
The range is
.
Answer:
1/2.....9......all real numbers......y > 0
Step-by-step explanation:
got this right on edge 2021. hope this helps
Answer:
The initial value is
✔ 1/2
.
The simplified base is
✔ 9
.
The domain is
✔ all real numbers
.
The range is
✔ y > 0
.
Step-by-step explanation:
what is the solution to the equation 1/2a=7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
Shandra bought some belts online for $67. She used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:
14.07
Step-by-step explanation:
First we need to add 5 percent to the 67 dollar cost. Which makes the price 70 dollars and 35 cents. 20 percent of 70.35 is 14.07 so the discount is 14.07
Hope this helps
Find the total surface area of these solids
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
How to find the mode.
Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.
The Snyders went out to dinner and their bill was $54.15. How much would a 20% tip cost?
Answer:
$10.83
Step-by-step explanation:
bill/percent
What is the y-intercept of the graph of the equation 6x + 3y = 18?
Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]4n + 8 = 40
what does n =
4n + 8 = 40
4n = 40 - 8
4n = 32 / : 4
n = 8
N = 8
Hope this helps!!! if so please give brainliest
Maki~
Your mom decides she will give you $8, instead of $5 for each chore. You complete 12 chores. Will you have enough money for the lego set?
Average price of one Lego set = $20
You get $8 per choresTotal chores=12Total price
[tex]\\ \sf\longmapsto 12(8)=\$96[/tex]
You have enough price