Answer:
resistance must quadruple
Step-by-step explanation:
You want to know the change in resistance required to quadruple the amount of heat if heat is proportional to the square of voltage, inversely proportional to resistance, and the voltage is quadrupled.
ResistanceLet H represent the heat generated for voltage V and resistance R. We want to find R, the new resistance required, when V is replaced by 4V, and H is replaced by 4H.
H = V²/R
4H = (4V)²/R'
4(V²/R) = 16V²/R'
R' = (16/4)R . . . . . . . multiply by RR'/(4V²)
R' = 4R
The resistance must quadruple if the amount of heat is to be quadrupled.
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PLEASE HELP !!!!!!
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, what is the volume of the water that was displaced (in cubic inches)?
The volume of the water that was displaced will be equal to 0.06 cubic feet.
How are the density, volume, and mass of a substance-related?Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be
We know that the density of the water is 62.4 pounds per cubic foot.
Then we get
3.7 = 62.4 × volume
Volume = 0.059
Volume ≅ 0.06 cubic-foot
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Step-by-step explanation:
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bryon yuuù 6553w2 wasmay what is this portion insulator used for
Please help need to get it done in 10 minutes.Thank you
There are 12 inches in a foot.
Complete the table.
Inches: 12, ___, 60, 108
Feet: 1, 3, ___, ___
Answer:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
Step-by-step explanation:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
3*12 = 36
60/12 = 5
108/12 = 9
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 5 to 8 no votes was
to
. If there were 7761
total votes, how many yes votes were there?
Answer:
2985 yes votes.
Explanation:
Yes : No
5x : 8x
Total Ratio: 5x + 8x = 13x
Solve for x
13(x) = 7761
divide both sides by 13
x = 597
Yes-Votes: 5(x) = 5(597) = 2985
No-Votes: 8(x) = 8(597) = 4776
There are 3 people fishing at a lake. Each person caught 5 fish. What was the total number caught by 9 people?
Each person caught 5 fish.
Multiply 5 fish by total people.
5 x 9 = 45
Answer: 45 fish
Answer:
45 fish
Step-by-step explanation:
Given :
Each of the 3 people caught 5 fishSolving :
For 9 people, multiply the number caught by each into 95 × 945 fishWhat is the area of this figure? Please help.
Answer:
Step-by-step explanation:
If the temperature today is 3 more than twice what it was yesterday and the temperature today is 66, what was the temperature yesterday?
Using algebra to solve this problem, which of the following is one step that you will take?
Step-by-step explanation:
x is the temperature yesterday
Answer:
Step-by-step explanation:
The correct answer is
Write the equation 66=2y+3.
find all solutions
36x²+12x=0
Answer:
x = -1/3 or 0
Step-by-step explanation:
Given equation:
[tex]36x^{2} + 12x = 0[/tex]We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.
[tex]\implies 36x^{2} + 12x = 0[/tex]
[tex]\implies 12x(3x + 1) = 0[/tex]
This can lead to two solutions. I have listed them below!
Solution 1:Divide 12x on both sides to open the parentheses.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]
[tex]\implies 3x + 1 = 0[/tex]
Isolate 3x on one side of the equation.
[tex]\implies 3x + 1 = 0[/tex]
[tex]\implies 3x = 0 - 1[/tex]
[tex]\implies 3x = -1[/tex]
Divide 3 both sides to determine the value of x.
[tex]\implies 3x = -1[/tex]
[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]
[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]
Solution 2:Divide (3x + 1) on both sides to isolate 12x.
[tex]\implies 12x(3x + 1) = 0[/tex]
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
Note: zero divided by any non-zero number is 0.
[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]
[tex]\implies 12x = 0[/tex]
Divide 12 both sides to determine the value of x.
[tex]\implies 12x = 0[/tex]
[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]
[tex]\implies \boxed{x = 0}[/tex]
Therefore, the solutions for x are -1/3 or 0.
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Answer:
x = 0 or x = -1/3
Step-by-step explanation:
In the equation 36x²+12x=0 we have :
36x² = 6x × (6x)
12x = 2 × (6x)
This means that 6x is a common factor,so let’s factor :
36x²+12x=0
⇔ 6x × (6x) + 2 × (6x) = 0
⇔ 6x × (6x + 2) = 0
⇔ 6x = 0 or 6x + 2 = 0
⇔ x = 0 or x = -2/6
Sheila has $51 to buy graphing pads for her math class. Each pad costs $7.
How many pads can she buy?
Answer:
She can buy 7 pads because 7 x 7 = 49.
Answer:
7
Step-by-step explanation:
7×7=49 and you cant by a portion of a graphing pad sooo the answer is 7
Joshia starts with 100 In savings and saves 5 per week
Answer:
If you're asking for an equation to use for this problem you can use: 100+5x,
x is the number of weeks.
Step-by-step explanation:
You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
Solve x^2 - 3x + 5 = 0.
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
7th grade math probability
Super easy
(Look at picture)
Answer:
3/6
I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.
Answer:
maybe the answer is 3/5.
Do message me if the answer is wrong
Find the measure of each angle in the diagram.
The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Two lines are intersecting each other at a point making two pairs of vertical angles.
The pair of vertical angles are equal in measure.
4y° = (6y + 41)° [Vertical angles]
4y - 6y = 41
2y = -41-----(1)
(3x + 2)° = 2(x + 17)° [Vertical angles]
(3x + 2)° = 2x + 34°
x = 32 ------(2)
Therefore, 4y° = -82°
(6y - 41)° = 164°
(3x + 2)° = 98°
2(x + 17)°= 98
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Need help with this question and also need to know how to put this on a calculator. It's in the picture.
Answer:
f(-3) = 36g(5) = -21Step-by-step explanation:
f(x) = 3x² - 3x
g(x) = -5x + 4
Find the value of the function when x = -3:
f(x) = 3x² - 3x
f(-3) = 3(-3)² - 3(-3)
f(-3) = 3(9) + 9
f(-3) = 27 + 9
f(-3) = 36
Find the value of the function when x = 5:
g(x) = -5x + 4
g(5) = -5(5) + 4
g(5) = -25 + 4
g(5) = -21
Hope this helps!
A rectangular school yard is 96 meters wide and 178 meters long. What is its perimeter?
Answer: 69 square meters
Step-by-step explanation:
miss rose teaches three ballet classes. her students' data are shown in the relative frequency table. which statement is true?
A. 20% of her students are in the intermediate class.
B. 25% of her students are in the beginner class.
C. 60% of her students are boys.
D. 15% of her students are girls.
What is the name of this polygon? rhombus rectangle square trapezoid A quadrilateral. What is the name of this polygon?
rhombus
rectangle
square
trapezoid
A quadrilateral. Each angle has a small square.ach angle has a small square.
Step-by-step explanation:
Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)
In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
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Enter the correct answer in the box.
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
The equation of function g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The function is given as:
f(x) = 2x² - 1
When the function is translated with 7 units left, the transformation rule is:
(x,y) -> (x + 7, y)
So,
g(x) = 2(x -7)² - 1
A quadratic function is expressed as:
g(x) = a(x -h)² + k
By comparison, the values of h and k are 7 and -1, respectively.
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Solve the inequality:
8+4≥12
Answer:
I think it would be x<5
Step-by-step explanation:
hope this helps if not let me know have a blessed day
1 Square yard = what Square inches
Answer: 1296 square inches
Step-by-step explanation:
1 square yard is 36 times 36 square inches
36 times 36 is 1296 square inches
A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour, what is the rate of the current ?
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
Slide the green dot Use the number line to plot the numbers. Then arrange
them in order from smallest 1 to largest 4
I don't see any green dot, sorry.
the table shows the enrollment in a university class so far, broken down by student type.
adult education 7
graduate 2
undergraduate 9
Considering this data, how many of the next 12 students to enroll should you expect to be undergraduate students?
Answer:
6
Step-by-step explanation:
The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
From the table,
Total number of students = 7 + 2 + 9 = 18
Number of undergraduates = 9
Probability of having a undergraduate student to enroll = 9/18 = 1/2
When the next 12 students are enrolled,
Number of undergraduates = 1/2 × 12 = 6
Hence 6 students are expected to be undergraduates in the next 12 students.
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valuate if x = 2 and y = 6 4x + 5y
Answer:
38
Step-by-step explanation:
4(2)+5(6)
=8+30
The answer=38
Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.
[tex]b \geqslant x \leqslant a[/tex]
9. 144^14/144^2
A. 144^16
B. 144^12
C. 144^28
D. 144^14/2
The correct result of this expression is 144¹²
This question is related to the division of potentiation of equal basesPotentiation is a multiplication of equal factors. When dividing bases or equal numerator and denominator - just keep the bases and subtract the exponents.
= 144¹⁴ / 144²
= 144¹⁴‐²
= 144¹²
So, the correct answer will be 144¹²
Can you guys help me please :(
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
For the function f(x) = x^1/3/3 find f^-1(x)
Answer:
To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.
Step-by-step explanation:
Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°