Following are the calculation to fill in the blank:
For Part a)
Each home in this town consumed
[tex]\to 40 \times \frac{19000000}{115000000}\\\\\to 40 \times \frac{19}{115}\\\\\to 40 \times 0.165\\\\\to 6.6 \ \text{gallons of oil per day}[/tex]
For Part b)
Without completing the sentence,
[tex]\text{Total consumption = 19200000 barrels}\\\\\text{Total number of households = 118000000}[/tex]
As a result, each household consumed.
[tex]\to \frac{19200000}{118000000} \\\\\to \frac{192}{1180} \ (barrels)\\\\[/tex]
In the given scenario, each barrel includes 42 gallons of oil. Therefore, every household consumed [tex]42 \times \frac{192}{1180} = 6.83 \ gallons[/tex] oil each day.
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Hence, each household will consume 6.60 gallons per day.
Total Households of that country =115000000 (approx.)
Total barrels used per day =19000000 (approx.)
Given 1 barrel = 40 gallons (approx.)
So total gallons used per day = 19000000 x 40 =760000000
So each household will consume gallons per day = total gallons used per day / Total household of that country
=[tex]=\frac{760000000}{ 11500000}[/tex]
=6.60 gallons/household/day
So each household will consume 6.60 gallons per day.
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? Centimeters cubed
Answer:
the answer is 32
Step-by-step explanation:
Answer:
I think the answer is 32 cm
(I'm so sorry if it's wrong)
Hope this Helps!
Find the Value of x.
읽
28
20
0 10
Answer:
x =28
Step-by-step explanation:
We have similar triangles, so we can use ratios
12 8
------ = ----------
12+30 x
Using cross products
12x = 8*(42)
12x = 336
Divide by 12
12x/12 = 336/12
x =28
What is the final transformation in the composition of
transformations that maps pre-image ABCD to image
A'B'C"D"
Answer:
Translation
Step-by-step explanation:
We'll translate (move) the quadrilateral ABCD to A'B'C'D' to prove their congruency
Answer:
The Answer is C. a 270 degree rotation about point B’
Step-by-step explanation:
Took the test, here is image proof lol, hope this helps you guys
Josephine is opening a retail shoe store and has developed this graph to represent her projected revenue, costs, and profit. Which two
sentences correctly interpret the graph?
20.000
revenue
Dollars
costs
profits
50
Profits increase until the price of the shoes reaches $22.
Costs decrease until the price of the shoes reaches $22,
Answer:
Profits increase until the price of the shoes reaches $22.
There are more prices with positive revenues than positive profits.
Step-by-step explanation:
In the picture attached, the problem is shown.
The first sentence is true because the profit curve has a maximum at $22.
The second sentence is true because the profit is computed as follows:
profit = revenue - cost
and cost decreases as the price increase; therefore, there are positive revenues with negatives profits.
The two sentences which correctly interpret the graph include:
Profits increase until the price of the shoes reaches $22.There are more prices with positive revenues than positive profits.What is a Graph?This is defined as a pictorial representation of numbers or variables in an organized manner.
The profit curve has a maximum at $22 which makes statement 1 correct while from the graph we can also deduce that there are more prices with positive revenues.
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How much less is 50km than 13.9km?
Answer: It is not less
Step-by-step explanation: 50 km is 36.1 km more than 13.9.
Hope this helps !
-Carrie
Answer:
It is not less
Step-by-step explanation:
50 km is 36.1 km more than 13.9
petunia has 4 friends now. last year she had 16 friends. what is the percent change?
Answer:
25%
Step-by-step explanation:
4/16
= 1/4
= 0.25
= 25%
Which equation correctly represents the distance between −15.1 and −3.9 on a number line?
a |−3.9−(−15.1)|=11.2
b −15.1−3.9=−19
c |−15.2+(−3.9)|=19
d −3.9−15.1=−11.2
which on is it
Answer: The correct answer is A
Please help me!!!!!!! :)
Answer:
The answer would be 2
Step-by-step explanation:
Add the numbers given: 0+1+2+3+4=10.
Divide the answer by the amount of numbers given: 10÷5=2.
Your answer is 2.
Which of the following is a geometric sequence? Question 11 options: A) 2, 6, 18, 54, 162, 486, ... B) 0, 5, 10, 15, 20, ... C) 1, 5, 9, 13, 17, ... D) 5, 1, –3, –7, –11, –15, ...
Answer:
A
Step-by-step explanation:
A geometric sequence is a sequence that increases by a factor from one term to the next. A is the only one that does this, and it increases by a factor of 3. All the others are an arithmetic sequence, where each term in increasing by a constant number.
Answer:
A
Step-by-step explanation:
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
-7
1
7
Answer:
14
Step-by-step explanation:
Plug in the values into each equation and solve.
3x² - 2y
3(3)² - 2(5)
3(9) - 10
27 - 10
17
2x² - 3y
2(3)² - 3(5)
2(9) - 15
18 - 15
3
Now take the two values and subtract them from each other.
17 - 3 = 14
]solomon needs to justify the formula for the arc length of a sector. which expression best completes this argument? the circumference of a circle is given by the formula c=pi * d , where d is the diameter. because the diameter is twice the radius, c= 2 * pi * r. if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to 360°/n° the arc length of each sector is the circumference divided by the number of sectors, or _____. therefore, the arc length of a sector of a circle with a central angle of n° is given by 2*pi*r*n/360 or pi*r*n/180 . a. 2*pi*r/270/n b. 2*pi*r/360/n c. 2*pi*r/180/n d. 2*pi*r/90/n
Answer:
[tex]\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex] best completes this argument
Step-by-step explanation:
Circumference of circle =[tex]\pi \cdot d[/tex]
Where d is the diameter of circle
We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to [tex]\frac{360^{\circ}}{n^{\circ}}[/tex]
So, Number of sectors = [tex]\frac{360^{\circ}}{n^{\circ}}[/tex]
The arc length of each sector is the circumference divided by the number of sectors
[tex]\Rightarrow \frac{\pi \cdot d}{\frac{360^{\circ}}{n^{\circ}}}[/tex]
Diameter d = 2r (r = radius)
[tex]\Rightarrow \frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex]
Option b is true
Hence[tex]\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}[/tex] best completes this argument
Answer:
2 pie r/ 360 over n
Step-by-step explanation:
just did this
Please help me answer this question
Answer:
B
Step-by-step explanation:
Use the formula: V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
33.5 = [tex]\frac{1}{3}[/tex](3.14)(4)h
33.5 = 4.19h
8 = h
(x - 4)(x + 5) need help asap
Answer:
[tex]x^2+x-20[/tex]
Step-by-step explanation:
[tex](x-4)(x+5)= \\\\(x)(x)+(5)(x)+(-4)(x)+(-4)(5)= \\\\x^2+5x-4x-20= \\\\x^2+x-20[/tex]
Hope this helps!
Give the answer correct to 3 significant figures.
Answer:
52.868
Step-by-step explanation:
do you want me o explain step by step
Answer:
52 point 868
Step-by-step explanation:
i think but no one ever wants an explanation unless u want one lol
Does the function f(x) = 2 e-*represent exponential growth, decay, or neither?
O A) Impossible to determine with the information given.
B) Neither
OC) Exponential growth
OD) Exponential decay
Answer:
Exponential Decay
Step-by-step explanation:
An exponential growth function has a postive integer and a Exponetniaal decay function has a negative integer
gebra
Assignment
Active
Analyzing the Discriminant of a Quadratic Equation
Which values of o will cause the quadratic equation-x2 + 3x + c = 0 to have no real number solutions? Check all that
apply
I-5
- 2 /
1
no
Answer: The answer is 1, 2
Step-by-step explanation:
if you have blue, green ,yellow and red what is the probability of spinning red twice
Answer:
2% chances
Step-by-step explanation:
The probability of spinning red is 2 out of 4 because since there is 4 colors and spinning a color twice it can't happen.
How do i know
1: Divide the number of color by the number of outcomes
2: So since there are 4 colors and twice means 2.
3: 4 divided by 2 = 2% chances.
Hope this helps.
Part A
Tom, wants to buy a dictionary that costs $19.50
, a dinosaur book that costs $8.50
, and a children's cookbook that costs $5.50
.
Find the total cost of the dictionary, the dinosaur book, and the cookbook.
Answer: $
Part B
If he has saved $9
from his allowance, how much more money does Tom need to buy all three books?
Answer:
part a: $33.50
part b: $24.50
Step-by-step explanation:
add up all of the costs of the books so 19.50 + 8.50 + 5.50 = $33.50
next just subtract 9 dollars from 33.50 so 33.50 - 9 = $24.5 more he needs.
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
Inverse of -5-9x/x-6
Step-by-step explanation:
Steps:
1: Interchange the variables x and y.
x=6y-5/y+9
2: Solve x = 6y-5/y+9 for y
3: Multiply both sides by y+9
4: Simplify and Expand
5: Subtract 9x from both sides.
6: Simplify and Subtract y from both sides then Simplify again
7: Divide both sides by x-6
Answer: Inverse of -5-9x/x-6
Hope this helps.
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
Step-by-step explanation:
A farmer picks a spherical piece of fruit. The farmer measures the diameter to be 19.2 cm. What is the surface area of the fruit? Use 3.14 for pi.
Answer:1157.53
Step-by-step explanation:
Equation: 4×pi×r squared
Radius is half of diameter so 19.2÷2=9.6
4×3.14×9.6squared=1157.53
Answer:
Answer:1157.53
Equation: 4×pi×r squared
4×3.14×9.6squared=1157.53
What is the measure of
Answer:
x= 145
Step-by-step explanation:
this equals to 180
so 180- 35=
Answer:
x=145
Step-by-step explanation:
answer Is not B
help is appreciated
Answer:
d
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 3 and r = 12 ÷ 3 = 4 , thus
[tex]S_{8}[/tex] = [tex]\frac{3(4^{8}-1) }{4-1}[/tex]
= [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535 → d
Answer:
d.
Step-by-step explanation: the other person said it and they seem to be way smarter then i am so pick d
The diagram shows a square pyramid over a cube. What is the volume of the entire figure?
Answer: 810
Step-by-step explanation:
first lets take down the information we were given,
height (h) of the pyramid should be 12 - 9 = 3
base (a) = 9
So we calculate the volume of a square pyramid
V = a²h/3
V = (9² × 3) / 3
v = (81 × 3) / 3
V = 81
now we calculate the volume of the cube using the formula
V = a³
V = 9³
V = 729
NOW to get the volume of the entire figure
we say
volume of square pyramid + volume of cube
81 + 729 = 810
Define a quadratic function y = f (x) that satisfies the given conditions.
Vertex (-3, -4) and passes through (0, -31).
Answer:
it says that the given condition for vertex (-3,-4) and passes through (0,-31)
Ellie compared 4/7 and 5/3 by first comparing each fraction to 1/2 and 1.
Step 1: 4/7 is less than 1 but more than 1/2
Step 2: 5/3 is more than 1
Step 3: so, 4/7 > 5/7
In which step did
Ellie make her first mistake?
Answer:
Step 3
Step-by-step explanation:
She made her first mistake in Step 3.
This is because 4/7 is actually less than 5/3.
Step 1 and 2 are mathematically accurate.
1/2 is less than 1.
So, since 4/7 is only greater than 1/2 and not greater than 1 as compared to 5/3 which is actually greater than 1, she should have concluded that 4/7 is less than 5/3.
Therefore, Step 3 contains the mistake.
What 3 numbers multiplied equal 12.5?
Solve the equation below for x.
4(2x +8) - 3x = 47
1.
X= 13
2.
X= 2
3.
X= 3
4.
X= 7.8
Answer:
x=3
Step-by-step explanation:
4(2x +8) - 3x = 47
Distribute 4
8x + 32 -3x = 47
Combine like terms
5x + 32 = 47
Subtract 32
5x = 15
x= 3
The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months of living in the apartment. State the meaning of the slope and y-intercept of this function with respect to the costs associated with renting the apartment.
Answer:
On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.
Step-by-step explanation:
This function is linear, which means that it increases at a steady rate and has the following form:
[tex]y(x) = a*x + b[/tex]
Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.
On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.
You use a garden hose to fill a wading pool if the water rises 12 cm or seven minutes and you record the data point of (21,y) What is the value of Y?
Answer:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).
Step-by-step explanation:
In the question the water rises 13 cm every 6minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;
6 minutes=13 cm
1 minute=?---------------------perform cross multiplication
(1*13)/6=13/6
Hence in 1 minute, the rise is 13/6 cm
Thus in 12 minutes, the rise will be ;
12 * 13/6 = 2*13= 26 cm
(x,y) will be (12,26)
Finding the slope of the line using point (6,13) and (x,y)
The rate of change at which the water level rises equals the slope of the line.This is the justification.
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices, Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27. Define the variables Write a system of equations to represent this situation Solve the system to find out the price of each ticket sold. Prove and Explain how you know that your answer is correct. If a family of 5 would like to attend one game during the football season and one during the baseball season how much would it cost them. How much was the average price of a football game ticket last year to see the Giants, how about the average price of baseball ticket to see Yankees Play?
Answer:
just read through this document
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
The cost of a baseball ticket is $133.2 and the cost of a football ticket is $374.95.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices,
Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27.
Let x represents the cost of one baseball ticket and y represents the cost of a football ticket.
Then,
3x + 2y = 229.90
2x + y = 128.27.
The solution of the system of the equation is the intersection point of the line.
The solution = (26.64, 74.99)
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
the cost of a baseball ticket is $26.64x 5 = $133.2 and the cost of a football ticket is $74.99x5 = $374.95.
Therefore, all the required value is given above.
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