Answer:
approximately 1.213 billion gallons of fuel will be saved per year.
Step-by-step explanation:
Distance to the store = 1/2 mile
If my car gets 30 miles to one gallons, then for 1/2 mile my car will use
1/2 ÷ 30 = 1/2 x 1/30 = 1/60 gallons
Statistics puts the number of cars users on Earth to be about 1.4 billion = 1.4 x 10^9 cars
If every driver makes this decision once a week for a year, that will be 52 times a year since there are 52 week in a year.
Total gas that will be saved in one week = 1/60 x 1.4 x 10^9 = 23333333.3 gallons
In a year that will be = 23333333.3 gallons x 52 = 1.213 x 10^9 gallons
that is approximately 1.213 billion gallons of fuel saved per year
The graph shows the relationship between the number of pounds of oranges purchased and the total oost of oranges what is the cost of one pound of oranges
Answer:
1
Step-by-step explanation:
1
I’m lease help with both questions! Thanksss
what are my math is the $1.23 and 5
[tex]79[/tex]
[tex]dh \\ [/tex]
Answer:
6.23
Step-by-step explanation:
good
Give an equation for a function whose domain is all non-negative values of x except x=3.
Answer:
[tex]f(x)= \dfrac{1}{\sqrt x - \sqrt 3}[/tex]
Step-by-step explanation:
The square root forces values for x to be positive.
The -√3 causes a divide by zero for x=3, which is not allowed.
Put these numbers in order from least to greatest.
-3, 12/20, 9/18
Answer:
-3. 9/18, 12/20
Step-by-step explanation:
-3 is -3
9/18 is 0.5
12/20 is 0.6
Se sabe que la diagonal de un cuadrado mide 15 cm ¿cuánto mide su área?
Answer: 112.36cm^2
Step-by-step explanation:
Un cuadrado tiene 4 lados de igual longitud.
Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.
Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.
Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:
A^2 + B^2 = H^2
En este caso sabemos que los catetos son iguales (por que es un cuadrado)
A = B.
Y también sabemos que H = 15cm.
A^2 + A^2 = (15cm)^2
2*A^2 = (15cm)^2
A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.
Ahora conocemos L, el largo de los lados de nuestro cuadrado.
L = 10.6cm
Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:
Área = L^2 = (10.6cm)^2 = 112.36cm^2
Find the value of 643.22 + 132.20 + 147.013
☽------------❀-------------☾
Hi there!
~
Find the exact value using trigonometric identities.
[tex]643.22 + 132.20 + 147.013 = 922.433[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
922.433
Step-by-step explanation:
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space&\space\space&\space\space&\space\space\\ \space\space&\textbf{6}&4&3&.&2&2&0\\ \space\space&\textbf{1}&3&2&.&2&0&0\\ +&\textbf{1}&4&7&.&0&1&3\end{matrix}}{\begin{matrix}\space\space&\textbf{9}&2&2&.&4&3&3\end{matrix}}[/tex]
8(13 + 2y)
Which expression is equivalent to the expression above?
13 + 16y
B
16 + 104y
C
104 + 16y
D.
104 + 2y
Answer:
c
Step-by-step explanation:
Select all the correct locations on the table. Select all of the complex numbers in the given table.
Answer:
answer in picture
Step-by-step explanation:
Need to be able to check my work with this problem.
Answer:
You are correct
Step-by-step explanation:
Hi,
[tex](f+g)(x)=6x-12+3x+8=9x-4\\\\(f-g)(x)=6x-12-3x-8=3x-20[/tex]
Thanks
Evaluate the difference quotient for the given function f(x)=4+3x.
Answer:
If x=1 then f(x)=-3
Step-by-step explanation:
A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours? A. 3.2
B. 5.5
c. 10.5
D. 20.0
Answer:
20
Step-by-step explanation:
In 8 hours, it will leak 2.5 * 8 = 20 cups of water.
write an equation for a line going through (6,2) and (11,17) in slope intercept form
Answer:
y=3x-16
Step-by-step explanation:
The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 400,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 40,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time. (Note that the variable t represents days.) Enter an exact answer.
Answer:
[tex]P=400000(2^t)-40000t[/tex]
Step-by-step explanation:
The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:
[tex]P=400000(2^t)[/tex]
Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:
[tex]P=400000(2^t)-40000t[/tex]
2,000 rupees to US dollars
Answer:
the answer is $27.18 US dollars
Step-by-step explanation: hope you found this helpful
5. Round to the nearest one: 9.5 (1 Point
Answer:
10
Step-by-step explanation:
Round up if this number is greater than or equal to
5 and round down if it is less than 5
Would really appreciate it if someone could help!! Have been stuck on the question alll day !
what number is 7 hundredths greater than 5.25
Answer:
36,750.
Step-by-step explanation:
The way to determine the number that is seven hundred times greater than 5.25 is by multiplying those numbers, the result being the number in question.
Thus, the following multiplication must be performed:
700 x 5.25 = X
3,675 = X
Thus, the number that is seven hundred times greater than 5.25 is 3,675.
1. What is the extremum of the function f(x) = x + 6x + 8?
Answer:
x=-8/7,Alternative form x=-1 1/7 ,x=1.142857
Step-by-step explanation:
f(x)=x+6x+8
substitute f(x)=0
collect like terms.
0=7x+8
Move the variable to the left.
-7x=8
Divide both sides
x=-8/7
Solve x − 2y = 3 for x
Answer:
x=2y+3
Step-by-step explanation:
x − 2y = 3
x=2y+3
How do you solve m-2=-2+m
m - 2 = -2 + m
Let's rearrange the right side of this equation.
m - 2 = m - 2
Any value of m makes this equation true.
m = all real number or (-∞, ∞)
Sep 09, 6:17:21 PM
What is an equation of the line that passes through the points (2, - 7) and (8, -4)?
Put your answer in fully reduced form.
Answer: y = 1/2x -8
Step-by-step explanation:
The equation will be in slope intercept form which uses the formula y= mx +b where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.
The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.
-7- (-4) = -3
2 - 8 = - 6
-3/-6 = 1/2
So in this case the slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.
-7 = 1/2(2) + b
-7 = 1 + b
-1 -1
b = -8
The y intercept is -8 so we will have the equation y = 1/2x -8
JUST THE ANSWER PLS !
What is the value of the expression below when w =8 and x = 4
Answer:
92
Step-by-step explanation:
Step 1- Substitute the variables.
9(8)+5(4)
72+20
Step 2- Add
72+20= 92
The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of LaTeX: 36\pi36 π cm3 and a base with a radius of 3 cm.
Answer:
[tex] h = 4 cm [/tex]
Step-by-step explanation:
Volume of cylinder is given as [tex] V = \pi r^2h [/tex],
r = radius of base of cylinder, h = height of the cylinder.
Let's make h (height) the subject of the formula (i.e. select the formula for h).
[tex] V = \pi r^2h [/tex]
Divide both sides by πr²
[tex] \frac{V}{\pi r^2} = \frac{\pi r^2h}{\pi r^2} [/tex]
[tex] \frac{V}{\pi r^2} = h [/tex] (πr² crosses out πr²)
Rewrite the formula:
[tex] h = \frac{V}{\pi r^2} [/tex]
Given a cylinder of Volume (V) = 36π cm³, and radius (r) = 3 cm,
height of the cylinder can be selected by plugging these values into the formula for h (height) we selected above. Thus:
[tex] h = \frac{36 \pi}{\pi 3^2} [/tex]
Simplify:
[tex] h = \frac{36 \pi}{\pi * 9} [/tex]
[tex] h = \frac{36}{9} [/tex] (π crosses out π)
[tex] h = 4 cm [/tex]
In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?
Answer:
7 and 5
Step-by-step explanation:
The present age of Khalil is 7 years and the present age of Angela is 2 years.
Given that, in five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the present age of Khalil be x-5.
In five years:
Khalil's age = x-5+5=x
Angela's age = Khalil's present age
Angela's age = x-5
So, present angle of Angela's age = x-5-5=x-10
In three years:
Khalil's age = x-5+3=x-2
Angela's age =x-10+3=x-7
So, x-2=2(x-7)
⇒ x-2 = 2x-14
⇒ x=12
Khalil's present age = x-5=7 years and Angela's present age = x-10=2 years.
Therefore, the present age of Khalil is 7 years and the present age of Angela is 2 years.
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Add.
0.6+(-2.1)
Enter your answer, as a decimal, in the box.
Answer:
0.6-2.1=1.5
Step-by-step explanation:
0.6-2.1=-1.5
0.6-2.1= - I2.1-0.6I
2.1
-0.6
--------
1.5
what is the smallest number that rounds to 700 when rounding to the nearest hundred
Answer:
650
Step-by-step explanation:
650 will be the smallest number that rounds to 700 when rounding to the nearest 100th because any number less that 650 would not round too 700 and 650 will. hope this helps. i tried explaining the best i could. :)
Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits
$5 into her bank account every day while Eric withdraws $10 from his bank account every
day. How many days, d, will it take for Cindy and Eric to have the same amount of money
in their bank accounts?
60 - 10d = 400 +5d
60 - 5d = 400 +10d
60 - 5d = 400 - 10d
60 + 5d = 400 - 10d
Answer:
i think its c
Step-by-step explanation:
Chalk is an ionic compound. Which is a property of all ionic compounds that makes chalk particularly useful for writing on a chalkboard? A a high melting point B hardness and brittleness C inability to dissolve in water D a multicolored appearance
The correct answer is B. Hardness and brittleness
Explanation:
The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.
These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.
Answer:
B.
Step-by-step explanation:
What are the solutions of this quadratic equation?
x2 + 10 = 0
Answer:
x=-5
Step-by-step explanation:
don't think thats a quadratic equation, in that case the answer is above, just subtract from both sides
The solution of given quadratic equation is ± √10
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.
Suppose that we have been given a function y = f(x) such that f(x) is quadratic. When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
Given the quadratic equation;
x² + 10 = 0
The solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given that, x² +0x + 10 = 0.
Here a = 1, b= 0 and c = 10
x = [-b ± √(b² - 4ac)]/2a
= [-0 ± √(0² - 40)]/2(1)
= [ ± √(0- 40)]/2
= [± √(-40)]/2
= [ ± 2 √10]/2
= ± √10
Therefore the solution of given quadratic equation is ± √10
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