Answer:
hello thereee
8 - 2v^2 we are suppose to facotrize...
2 ( 4 - v^2 )
2 ( 2^2 - v^2 )
apply identity a^2 - b^2
2 ( 2 + v ) ( 2- v )
done dana done.....
16x^2 - 49 when factored is ?
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
This is called the Difference of Two Squares (DOTS).
These are the conditions that must be met for DOTS to work:
•There must be 2 terms.
•They must be separated by a negative sign.
•Each term must be a perfect square.
First, you have to find 2 square numbers that times together to make 16.
4×4=16
As we want 16x², you just need to make the 4 become 4x:
4x times 4x equals 16x²
Then, find 2 squares that times together to make 49.
7×7=49
You can put the two squares into a bracket with the x variable first, then the number:
(4x-7)(4x+7)
In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.
You can double check your answer by expanding it back out again using FOIL:
F-First
O-Outer
I-Inner
L-Last
Times the First two in the two brackets:
4x times 4x equals 16x²
Times the Outer two:
4x times 7 equals 28x
Times the Inner two:
-7 times 4x equals -28x
Times the Last two:
-7 times 7 equals -49
Form an equation:
16x²+28x-28x-49
The 28x cancel out to leave:
16x²-49
Hope this helps :)
A car travelled 252 km in 3 hours and 15 minutes. The average speed of the car was (to the
nearest whole number)
A. 77 km/h
B. 78 km/h
C.
80 km/h
D. 84 km/h
Answer:
76.92 km/h
=
77 km/h
Answer From Gauth Math
Suppose when the price of gasoline is $3.50 per gallon the total amount of gasoline purchased in the United States is 6 million barrels per day. When the price of gas decreases to $3 per gallon the total amount of gasoline purchased is 8 million barrels per day. Based on these numbers and using the midpoint formula the percentage change in price is:
Answer:
Slope is -.25 =
Minus 25%
Step-by-step explanation:
x1 y1 x2 y2
6 3.5 8 3
(Y2-Y1) (3)-(3.5)= -0.5 ΔY -0.5
(X2-X1) (8)-(6)= 2 ΔX 2
slope= - 1/4
B= 5
Y =-0.25X +5
The percentage change is -25% the price of fuel is decreased by 25%.
What is the equation of a line?The equation of line is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
Let the data is
x₁= 6 , y₁ = 3.5
x₂ = 8 , y₂ = 3
Calculate the change,
(Y₂ -Y₁ ) = (3)-(3.5)
ΔY = -0.5
(X₂-X₁) = (8)-(6)
ΔX = 2
Calculate the slope,
Slope = ΔY/ ΔX
Slope = -0.5 / 2
Slope = - 1/4 = -0.25
The equation formed by using the above data is,
Y =-0.25X +5
Therefore, the percentage change is -25% the price of fuel is decreased by 25%.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ2
19. the first side of a triangle measures 4in less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. how long is the third side
please help it’s late and i already started the test and my head hurts
Answer:
the third side is 5 2/3 in.
s - 1
Step-by-step explanation:
a = side 1
b = side 2
c = side 3
a + b + c = 15
a = b - 4 => b = a + 4
c = a + 3
a + a + 4 + a + 3 = 15
3a + 7 = 15
3a = 8
a = 8/3 = 2 2/3 in
b = a + 4 = 6 2/3 in
c = a + 3 = 5 2/3 in
Which equation represents a parabola that has a focus of (0,0) and a directix of y = 2?
Answer: D
Step-by-step explanation:
[tex]a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D[/tex]
1. Eddie ordered customized cups. He was
charged a $30 design fee plus $8 per cup. His
total order was $334. How many cups did Eddie
order?
Answer:
38 cups
Step-by-step explanation:
8c + 30 = 334
8c = 334 - 30
8c = 304
c = 304 ÷ 8
c = 38 cups
The total number of cups ordered by Eddie is 8
Design fee = $30
Cost per cup = $8
Total cost of order = $334
Let the number of cups ordered = p
The total cost of order can be represented by the equation :
Design cost + (cost per order × Number of orders)
$30 + (8p) = $334
8p = 334 - 30
8p = 304
p = 303 / 8
p = 38
Hence, the number of cups ordered is 8
Learn more : https://brainly.com/question/18109354
irrational numbers on a number line pls help!!
find the value of x
3+x/4=5
Step-by-step explanation:
it think it will help you
Answer:
the value of x = 8
Step-by-step explanation:
3+x/4 = 5
x/4 = 5 - 3
= 2
X = 2 ×4
=8
Both please please………
Answer:
Step-by-step explanation:
First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)
Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major
help me pleasssseeeeeee
Answer:
[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]
Step-by-step explanation:
[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]
Answer:
[tex]i^{46} = -i[/tex]
~~~~~~~~~~~~~~~~~~~
46/4 = 11 remainder 2 = [tex]-i[/tex]
47/4 = 11 remainder 3 = 1
48/4 = 11 remainder 0 = [tex]i[/tex]
49/4 = 11 remainder 1 = -1
Step-by-step explanation:
[tex]i = \sqrt{-1} = i[/tex] (remainder 0)
[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)
[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)
[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)
[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)
The pattern repeats every FOUR in the exponent
Given the figure, what is the angle of rotational system?
Answer it should be 72° as the figure is a 5 fold.
360/5 = 72
Angle of rational symmetry is 72°
Must click thanks and mark brainliest
What is 2x2x4 I’m asking from my big brothers account
Step-by-step explanation:
2×2×4=16
Hope it helps uß
What is the largest 5-digit number that is a multiple of both 4 and 9?
Answer:
Step-by-step explanation:
The last two digits have to be divisible by 4
The entire number's digits have to add to a multiple of 9. So I will start with 99964
64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9
Move on 99968 which has the same problem.
99972 works!!!!
PLEASE HELP ITS URGENT!! PLEASE
1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month
2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month
3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth
1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.
2. The amount of energy used in the house for the month is 731.634 KWh.
3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.
1. The rate of consumption of energy is measured in kilowatt-hour.
In the given question,
12 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWh
The total cost for the month = 0.12 x 259.20
= $31.104
Thus, the total cost for the month is $31.104.
2. Charge per kilowatt-hour = $0.11
Total power bill = $80.48
So that,
Total cost on bill = amount charge per kilowatt x total energy consumed in KWh
Which implies;
$80.48 = $0.11 x total energy consumed in KWh
total energy consumed = [tex]\frac{80.48}{0.11}[/tex]
= 731.634 KWh
Therefore, the amount of energy used in the house for the month is 731.634 KWh.
3. Each length of the two end pieces = 2.6 feet each
Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;
the length of the remaining piece = 2.6 + 0.86
= 3.46
The length of the remaining piece = 3.46 feet
The length of the board to buy = 2.6 + 2.6 + 3.46
= 8.66
Thus, the length of the board to buy is 8.70 feet.
Related link: 1, 2. https://brainly.com/question/13988193
3. https://brainly.com/question/16046083
what is the slope intercept form of: 2x-y=6?
Answer:
y = 2x-6
Step-by-step explanation:
2x-y=6
Solve for y
Subtract 2x from each side
2x-y-2x = -2x+6
-y = -2x+6
Multiply both sides by -1
y = 2x-6
Slope intercept form is y = mx +b where m is the slope and b is the y intercept
Moe bought 5 shirts for a total of $49.00. Tee shirts cost $7.00 and long sleeve shirts cost $14.00. How many of each type of shirt did he buy?
Answer:
I think that the answer is 350
A ladder 20m long rests against a vertical wall as that the foot of the ladder is 9m from the wall. Find, correct to the nearest degree, the angle that the ladder makes with the wall.
Answer:
If the ladder is 9 m from the wall
cos theta = 9 / 20 = .45 and theta = 63.3 angle made with floor
So the angle made with the wall is 90 - 63.3 = 26.7
pls help, and explain. will give brainliest
Answer:
10.28
Step-by-step explanation:
Using ratio
12 : 9
8 :x
Crose multiple
12x = 72
Make x subject formula
x = 10,28
Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
Answer:
ol so polygon all sum is 540
we know that pentagon of 5 sides always has sum 540
so 5x = 540
x = 108
as per me ...
What is the correct numeral for Seventy three lakh forty thousand fifteen ? *
1 point
73,40,015
73,40,105
73,4015
Answer:
1-73,40,015 your answer
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
ANSWER AS FAST A POSSIBLE PLS!
156-3^2x5-8^2
Answer:
47
Step-by-step explanation:
first of all simply the ones with powers and you will get 156-9*5-64 then multiply and you will get 156-45-64 simplify and the answer is 47
Can anyone please help me with this it's important only right answers and I'll mark as brainlist
Answer:
245/148 = 1 97/148
Step-by-step explanation:
-7 * {1/2 + 2/16} / {1/2 - 2 8/7} =
You must use the correct order of operations, but first, we reduce the fraction 2/16 and change the mixed numeral into a fraction.
= -7 * {1/2 + 1/8} / {1/2 - 22/7}
Now we work inside each set of brackets.
Find common denominators for the addition and the subtraction of fractions.
LCD of 2 and 8 is 8. LCD 2 and 7 is 14.
= -7 * {4/8 + 1/8} / {7/14 - 44/14}
Do the addition and the subtraction of fractions.
= -7 * {5/8} / {-37/14}
Now we do multiplications and divisions from left to right in the order they appear.
= {-35/8} / {-37/14}
= -35/8 * {-14/37}
= 490/296
Reduce.
= 245/148 = 1 97/148
Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?
The question is in the picture
Answer:
dalam rajah 1 and read the full q that is the ans
Answer:
x = 91° , y = 52°
Step-by-step explanation:
Opposite angles add up to 180°.
Therefore :
1. x° + 89° = 180°
x° = 180° - 89°
x° = 91° #
2. 76° + 2y° = 180°
2y° = 180° - 76°
2y° = 104°
y° = 104° / 2
y° = 52°#
What is the range of the exponential function shown below?
f(x) = 2 •7*
A. All real numbers
B. y<0
C. All real numbers except 2
D. y> 0
Answer:
D
Step-by-step explanation:
your function is not very clear but I'm assuming it's 2 multiplied by 7^x
first let y be equal to the function
to find the range interchange x and y and make the subject
at some point you'll have to use logarithm to get rid of the exponent
only log of positive numbers numbers exist hence y must be greater than 0
Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish and the total was $23 - how many of each fish did she buy?
Answer:
8 salt water
7 fresh water
Step-by-step explanation:
Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".
We can make a system of equations - one equation for the number of fish and the other for the price of the fish.
We know that the total number of fish Laura has is 15, and the total price of the fish was $23.
s + f = 15 2s + f = 23Solve the system of equations by subtracting the bottom equation from the top equation.
-s =-8s = 8Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.
Answer:
8
7
Step-by-step explanation:
Let the number of fresh water be: - x
Number of salt fishes be 15 - x
x + 2 (15 - x) = 23
x + 30 - 2x = 23
x = 7
Number of fresh water fish bought: -7
Number of salt water fish bought by: -15 -7 = 8
I need help ASAP!!!Please explain your answer
Answer:
SA= 136 cm²
Step-by-step explanation:
Find the area of each side, since this is a rectangular prism there are 6 sides. Once you find the area of each side you add them all together to get the surface area of the shape.
1. What is the formula for the circumference using the radius below?
Answer:
The formula for the circumference of a circle is
2
π
r
so all we have to do is plug in 5 for our radius:
2
π
(
5
)
which can be simplified to
10
π
.
Step-by-step explanation:
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 1.4 ft. Suppose oil is drained at a rate of
1.7 ft per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Hey there! I'm happy to help!
First, let's find the volume of the cylindrical tank.
To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).
The diameter is always twice the radius, so we divide by two to find the radius.
1.4/2=0.7
We square this.
0.7²=0.49
And we multiply by 3.14.
0.49×3.14=1.5386
Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).
1.5386×4.5=6.9237
Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!
6.9237÷1.7= 4.07276470588
So we see that it will take just over 4 minutes for the tank to empty.
Have a wonderful day and keep on learning! :D
