Answer: x^2 = 2
Step-by-step explanation: 3x^2 + 4x=12
6x^2=12
x^2= 12/6
x^2= 2
A 1600 Watts electric oven is used for 9 hours. Calculate the cost of using the $3.00 per unit of energy (Energy consumed = power× time)
Answer:
The cost is $43.2
Step-by-step explanation:
The first thing to do here is to calculate the amount of energy consumed.
From the question, we are told that this is;
Power * Time
From the question, power = 1600 watts
Time = 9 hours
So amount of energy consumed = 1600 watts * 9 hours = 14,400 watts hour
It should be known that energy is measured in Kilowatts hour ; So therefore 14,440 watts hour is 14,440/1000 kwh = 14.4 kwh
Now, the cost per unit of energy is $3.00 per kwh
So the cost of using 14,400 watts hour would be 14.4 * 3 = $43.2
in 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.
What is the average rate of change in the median home size over this time period?
a.) 112 sq per year
b.) 89 sq per year
c.) 8.9 sq per year
d.) 11.2 sq per year
Answer:
d.) 11.2 square feet per yearStep-by-step explanation:
The difference in sizes:
2169 - 2057 = 112 square feet
It is 10 years from 2000 to 2010
112:10 = 11.2
The smaller of two numbers is one-half the larger, and their sum is 27. Find the numbers. I need an answer in 10 minutes
Answer:
18 and 9
Step-by-step explanation:
The numbers are x and 1/2x.
x + 1/2x = 27
3/2x = 27
x = 18 so the numbers of 18 and 9.
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right square bracket, where H+ is the hydrogen ion concentration of the solution in moles per liter. Distilled water has a pH of approximately 7. A solution with a pH under 7 is called an acid, and one with a pH over 7 is called a base. Tomato juice has a hydrogen ion concentration of 10 to the power of negative 4.1 end exponent mole per liter. Find the pH of tomato juice. pH space equals space 4.9 pH space equals space 2.8 pH space equals space 3.5 pH space equals space 4.1
Answer:
The correct option is;
pH = 4.1
Step-by-step explanation:
The given information are;
The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]
The pH of a solution = -㏒{H⁺] = -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1
The pH of the of the tomato juice = 4.1
The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
. Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Your answer
6B. List an example that refutes Fracisco's statement. Show its product. Explain why it refutes his statement.
Your answer
6C. How could Francisco rewrite his statement so it is always true?
pls Help me
Answer:
6A) i) 5 and 3 product is 15
ii) (-5) and (-3) product is 15
6B. The product of 5·i and 3·i is -15
6C. When two or more real factors are multiplied and they have the same sign, the product is positive
Step-by-step explanation:
6A. To examples that support Francisco's statement are;
Given the factors that have the same sign;
i) 5 and 3 both positive
ii) (-5) and (-3) both negative
The products of each of the two factors are therefore;
5 × 3 = 15 (Positive product)
(-5) × (-3) = 15 (Positive product)
6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;
5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15
Therefore;
5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim
6C. Francisco could rewrite his statement as follows;
When two or more real factors are multiplied and they have the same sign, the product is positive
To make it always true.
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then
central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle
central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]
Answer:
B. [tex]\frac{\pi }{2}[/tex] radians
Step-by-step explanation:
Edge 2021
Help please solve this
RU is a diameter, so the two equations make half a circle which is 180 degrees.
24x+5 + 10x+5 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34
X= 5
RS= UV
RS = 10x +5
Replace x with 5
RS = 10(5) + 5 = 55
Answers:
X = 5
RS = 55
Can someone please help me I really need help please help me thank you
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
TIME REMAININ
y = -6x+2
-12x - 2y = -4
How many solutions does this linear system have?
Answer:
Infinitely many solutions.
Step-by-step explanation:
y = -6x + 2
Add 6x to both sides
6x + y = 2
-12x - 2y = -4
Divide each term by -2
6x + y = 2
Since both equations are actually exactly the same, this linear system will have infinitely many solutions.
Hope this helps!
16 - 4y when y is 4
Some plzzzzz helppppp!!!!
Answer:
0
Step-by-step explanation:
To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.
Answer:
Let 16-4y=0
Substracting 16 on both sides
16-16-4y=-16
-4y=-16
4y=16
y=4
Rebutting the value of y
=16-4(4)
=16-16
=0
Step-by-step explanation:
I hope this will help you :)
If 8% of a number is 4, what is 12% of a number? Explain your reasoning.
Answer:
0.08, 4, 0.12
Step-by-step explanation:
0.08, 4, 0.12
2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a
discount of 5°. If the shopkeeper made a profit of 25%, calculate the price at which the shopkeeper
bought the laptop from the manufacturer.
(3 marks)
ANYONE???????????????????
Answer:
D
Step-by-step explanation:
If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.
--------------------------------------------------------------------------------
Hope this helps you...
Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the
side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the
maximum area Randy can enclose?
Answer:
The width (side perpedicular to the wall of the werehouse): x = 30 m
The lenght (side parallel to the wall of the werehouse): y = 60 m
Step-by-step explanation:
x - the width of the fenced area
Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:
y = 120 - 2x
Area of the fencing: A = x•y
A(x) = x•(120 - 2x)
A(x) = -2x² + 120x ← quadratic function
The maximum value of quadratic function occurs at: [tex]x=-\frac b{2a}[/tex]
a = -2 b = 120
[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]
y = 120 - 2•30 = 60
construct a tangent to the circle that passes through point b
Answer:
hope this is it
Step-by-step explanation:
i finished the assignment.
Answer:
Step-by-step explanation:
When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.
Answer:
see explanation
Step-by-step explanation:
Given x = 12, y = 144
We can see that y is 12 times the value of x, thus
(a)
y = 12x
(b)
when x = 7, then
y = 12 × 7 = 84
3/7 of which is 2 1/14
Answer:
Let the number to be found be x.
3/7 of which is 2 1/14
The above expression is written as
3/7x = 2 1/14
Convert the mixed number to an improper fraction
That's
3/7x = 29/14
Multiply both sides by 14
We get
3/7x × 14 = 29/14×14
6x = 29
Divide both sides by 6
x = 29/6 or 4 5/6
Hope this helps you
Hi The point C lies on a straight line AB and CD is a ray . If /ACD = 470 and /DCB = x0, find the value of x. Does anyone know the answer of this question ?
Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
Please write TWO expressions that are equivalent to 2(9j + 5). REMEMBER I NEED TWO EXPRESSIONS. ANSWER GETS BRANLIEST, 5IVE STARS, TEN POINTS, AND A THANKS.
Answer:
(2 × 9j) + (2 × 5) AND 18j + 10
Step-by-step explanation:
=> 2(9j+5)
Applying distributive property to expand the brackets
=> (2 × 9j) + (2 × 5) ← 1st Expression
=> 18j + 10 ← 2nd Expression
did I do it right?
2+5+ 3x + 1 + 2x =
5x+2+5+1 =
5x+7+1 =
5x+8
Answer:
5x+8
Step-by-step explanation:
2+5+ 3x + 1 + 2x
Combine like terms
3x+2x + 2+5+1
5x +8
Answer:
Yes
Step-by-step explanation:
To simplify an expression like the one, you have to collect all the like terms and do the operation individually for each group of like terms.
In 2+5+3x+1+2x, the like terms are:
2,5,1 and 3x,2x
Solve them individually.
2+5+1=8
3x+2x =5x.
Put the, back and the final answer is 5x+8
Hope this helps
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. A: a = 4 and b = 3 B: a = 3 and b = 2 C: a = 2 and b = 1 D: a = 1 and b = 4
Answer:
After solving this question correct answer is (A)
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
Please help me I will give BRAINLIST and a like
I rlly need help
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
List all the 2-digit multiples of 15.
Answer:
You cannot list every single multiple of 15, but some of them are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, and 195.
Step-by-step explanation:
−6(x+7)=−4x−2 how many solutions
Answer: There is one solution, -20
Step-by-step explanation:
[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]
There is one solution, -20
Hope it helps <3
Answer:
Only one solutionStep-by-step explanation:
Solution,
[tex] - 6(x + 7) = - 4x - 2[/tex]
Distribute -6 through the parentheses
[tex] - 6x - 42 = - 4x - 2[/tex]
Move variable to L.H.S and change its sign
[tex] - 6x + 4x - 42 = - 2[/tex]
Move constant to R.H.S and change its sign
[tex] - 6x + 4x = - 2 + 42[/tex]
Collect like terms
[tex] - 2x = - 2 + 42[/tex]
Calculate the sum
[tex] - 2 x = 40[/tex]
Divide both sides of the equation by - 2
[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]
Calculate
[tex] x = - 20[/tex]
Hope this helps..
Good luck on your assignment..
A 15 foot pole extends & feet below ground and 10 feet above ground. Choose the
linear equation that models the situation.
Answer:
There is no specific linear equation for this scenario because there is only one possible length for the pole.
Step-by-step explanation: