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]
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Which is the correct factored form for 8x^3?
Answer:
HI! If this helps plz brainlist
Step-by-step explanation:
Rewrite 8 x 3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.
Question 1 (3 points) What value of p makes this equation true? 3p - 8 = -23 . O p = -6 Op = -5 Op = 5 p = 6
The value of p that makes the given equation true is equal to: B. p = -5
Given the following equation:
[tex]3p - 8 = -23[/tex]To find a value of p that makes the given equation true:
In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.
Rearranging the equation by collecting like terms, we have:
[tex]3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}[/tex]
p = -5
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What is Perfect square
Answer:
A perfect square is an integer that results in another integer when square rooted.
Step-by-step explanation:
For example:
16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.
16 and 4 are both integers
Also, notice that 4 x 4 = 16
Answer:
A perfect square is a number that can be multiplied together by the same numbers/digits/values.
Step-by-step explanation:
Examples:
√25
5 times 5 is 25 thus √25 is a perfect square
√144
12 times 12 is 144 thus √144 is a perfect square
Hope this helps!
By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.
Answer:
Assuming the question is: 3 + 1 16 [I see no "working below."
Step-by-step explanation:
3 + 1 16
48/16 + (16/16 + 1/16) [Make all numbers into fractions using 16 as the denominator. E.g. 48/16 = 3.
Add: 48/16 + (16/16 + 1/16)
(48+16+1)/16
=63/16
[Also equal to 3 15/16]
Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?
What is the result when this equation is solved for y?
4x²+10x-2y=6
Answer:
B. y = 2x² + 5x - 3
Step-by-step explanation:
[tex]4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3[/tex]
The result when the equation is solved for y is y = 2x² + 5x - 3.
To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:
Step 1: Move all terms containing y to one side of the equation:
4x² + 10x - 6 = 2y
Step 2: Divide both sides of the equation by 2 to isolate y:
(4x² + 10x - 6) / 2 = y
Step 3: Simplify the right side of the equation:
y = 2x² + 5x - 3
So, the result when the equation is solved for y is y = 2x² + 5x - 3.
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Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
Answer:
x > 7/8 and the picture is below.
Step-by-step explanation:
To find the answer, you plug in the values for x. Nothing less than one in the set of given values, works. 1 works, 9/4 works, and 5/2 works. But everything else doesn't. Or, you could simply divide both sides by 2 to get x alone. That makes x>7/8. Meaning 7/8 doesn't work, but anything above it, does. So you could just look for the ones that are greater than 7/8.
For this exponential function, what is the output value (y), when the input value (x) is O? y = 5. 2x
Answer:
(0,. 5 )
Step-by-step explanation:
Substitute the input x = 0 into the function for output y
y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]
Calculate the slope of the line for Graph B.
Answer:
-1
Step-by-step explanation:
rise = -2
run = 2
Slope = rise / run
= -2/2 = -1
Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .
Answer:
Slope = -1
Step-by-step explanation:
You are provided with two points on the line (-5, 7) and (1,1).
[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]
What is a trend line in math.
Answer:
Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.
A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.
If two line are perpendicular which statement is true
96.1 is 39 percent of what? This is 6th grade advanced math btw.
Answer:
9610/39
Step-by-step explanation:
You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41
Can y’all figure this out while I help my fam hang up a chrismus tree :)
Please help me
20 points
Answer:
1). Simplify the expression.
Exact Form:
( [tex]\frac{37}{25}[/tex] )
Decimal Form:
1.48
Mixed Number Form:
( [tex]1\frac{12}{25}[/tex] )
2). Simplify the expression.
91.46
3). Simplify the expression.
Exact Form:
[tex]\frac{17}{24}[/tex]
Decimal Form:
0.7083 ( bar notation)
4). Simplify the expression.
81.49
Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.
to be honest i dont remember srry
Answer:
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
put a factor back into the square root.
[tex]3 \sqrt{2a}[/tex]
Answer:
sqrt(18a)
Step-by-step explanation:
3^2=9
2*9=18
sqrt(18a)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3√(2a)
A factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
3² = 9
Thus,
The factor that can be put back into the square root is 9.
√(2 x 9 x a) = √(18a) = 3√(2a)
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Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)
Answer:
327.5
Step-by-step explanation:
8452/23 = 327.478
Round to about 327.5 books per class
Answer:
each class gets 367 books
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
Does anyone know this ??
bbbbbbbbbbbbbbbbbbbbbbbbbbbvbbbbbbbbbbb
10 x 9= what is it help
Answer:
10
[tex]10 \times 9 \\ 90[/tex]
Answer:
90 :)
Step-by-step explanation:
10 x 9 = 90
= 90 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left
Answer:
2 11/15
Step-by-step explanation:
Hope this helps please mark brainliest if I helped! Thanks
Write seven million two thousand five hundred in standard form
Answer:
Seven million two thousand five hundred in standard form is 7002500
Answer:
Step-by-step explanation:
In words=7,002,500
In standard form:
7.0025×[tex]10^{6}[/tex]
If you need to ask any questions, please let me know.Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
answer is in the above picture
Whats 16 x 32 what does it equal
please answer fast i need it
Answer:
AB = 2.625
Step-by-step explanation:
BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia
[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )
10 AB = 6(7 - AB) ← distribute
10 AB = 42 - 6 AB ( add 6 AB to both sides )
16 AB = 42 ( divide both sides by 16 )
AB = 2.625
║3x²+x+5║= 5x²- 3x+ 7
Is this what you needed ?
what are the values of the variables
Answer:
21
Step-by-step explanation:
we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3
from the triangle angle sum theorem, we know that 4x+6 = 90
solving, we get 4x=84, x=21
Answer:
isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).
so we have 180 degrees = 90 + (2x+3) + (2x+3)
so x = 21
Please help me out for a brainlist :)
Match the correct form the equation is written in for the following:
Answer:
1,2,3,2,2
Step-by-step explanation:
because standard form is ax
The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).
Which statement correctly describes the relationship between △PQR and △P′Q′R′?
1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.
4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
no links please
Answer:
the Answer is:
△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
I got 100% on the quiz
The two triangles ΔPQR and ΔP'Q'R' are congruent.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.
In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.
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