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
^^^ refer to the photo
Hello,
Answer: 2.5 (rad)
[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]
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
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
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 :)
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
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
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
What is 2x2x4 I’m asking from my big brothers account
Step-by-step explanation:
2×2×4=16
Hope it helps uß
Identify the function given y= -9/4
Answer:
the function is a y-intercept
Step-by-step explanation:
y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.
Because it says y=-9/4, we can assume that m, or the slope equals 0.
so when you plug it in, you get
y=0x-9/4
y=-9/4
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
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
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.
X+y=2 và x-y=4 tim x và y
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
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
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°.
PLZ HELP ASAP please
Answer:
b:4,5
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]
Fill formula and solve-
[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]
[tex]\sqrt{ (-4)^2+(5)^2[/tex]
[tex]\sqrt{ 16+25[/tex]
[tex]\sqrt{41[/tex]
[tex]\\6.4031[/tex]
[tex]6.4[/tex]
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
(100 PTS!!) Match the following vocabulary
Answer:
Step-by-step explanation:
1. arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
HOPE THIS HELPS
Answer:arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
Step-by-step explanation:
Morgan jogged 51.2 kilometers one week. Karen jogged 53.52 kilometers the same week. How many more kilometers did Karen jog that week than Morgan?
Answer:
Karen jogged 2.32 kilometers more than Morgan.
Step-by-step explanation:
Calculate the difference:
53.52 - 51.2 = 2.32
Answer:
2.32 km
Step-by-step explanation:
Take the amount that Karen jogged and subtract the amount that Morgan jogged
53.52 - 51.2
2.32
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 mathematics let's check your mind who know this I will give 10 on a
Answer:
Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.
Step-by-step explanation:
Answer:
Mathematics is like the study of numbers and relationships I guess.
Step-by-step explanation:
All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.
Basic Arthimetics seems to use ratios when counting, or patterns, ect.
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 x/y ? Help pls
Answer:
ok I really suck at math, but I think you may have to multiply the x/y to get the whole area of the circle. so maybe itd be 10x25. I'm sorry if this isnt correct
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!!!!
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
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
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:
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
