When the equation of any line reads "y = a number",
its graph will always be a horizontal line, meaning zero slope.
So the equation y = -10 has a slope of 0 which
means its a flat or horizontal line.
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?
Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x [tex]1.025^n[/tex], where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
Change 3 5/8 into an improper fraction.
Answer:
The improper fraction 29/8 is equal to the mixed number 3 5/8.
Step-by-step explanation:
The fractions is solved and the improper fraction is A = 29/8
Given data ,
To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.
The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:
3 * 8 + 5 = 24 + 5 = 29
The denominator remains the same, so the improper fraction is:
A = 29/8
Therefore , the value of A = 29/8
Hence , 3 5/8 can be expressed as the improper fraction 29/8
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Amy came up with a list of 28 good deeds she could perform around the house. She wants to do the same number of good deeds each day for the next 7 days to complete her list. How many good deeds will Amy do each day?
Answer: 4 deeds per day
Step-by-step explanation: 7 times 4 is 28
Collectively, what are the interest costs and other fees for using a credit card called? A. balance B. credit line C. finance charge Reset Next
The correct answer is C. Finance charge
Explanation:
A credit card is a service offered by financial entities such as banks that allows customers to buy goods and pay them later. This implies the customer does not immediately for goods but pays for these after a specific time. The use of this benefit implies related costs such as fees for the use of the credit card, and interest costs (money charged for borrowing the money from the bank), which are known as finance charge or the money charged for the benefit of using credit. According to this, the correct answer is C.
John was adding Rational Numbers. He showed his work below. What was John's error?
Explain to John how to solve it correctly.
Adding Rational Numbers Error.
Answer:
-5 3/5
Step-by-step explanation:
John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so
(-7 4/5) + (2 1/5), convert to improper fractions
-39/5 + 11/5, both fractions have common denominator so we can continue
-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions
-28/5 = (-25/5) + (-3/5) = -5 3/5
A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning
Answer:
They had 20 of them
Step-by-step explanation:
sorry if its wrong
$145 pair of UGGs, 25% discount, 6% sales tax final price
I NEED HELP ASAP!! (Grade 7)
The bill at a restaurant is $160. You leave a 20% tip. What is your total restaurant bill, including the tip? 20 points!
Answer:
$192
Step-by-step explanation:
Bill: $160.00
Tip: 20%
To figure out 10%, you need to move the decimal point over to the left one place: $16.00
10%: $16.00
16 times 2= $32.00
160.00+32.00= $192.00
A certain insect can beat its wings 180 times per
Let n(x) = x2+2,
Find x, given n(x) = 83
Answer:
answer is 0
Step-by-step explanation:
Which expression is equivalent to 7z + 7z?
Answer:
[tex]14z[/tex]
Step-by-step explanation:
Since these are like-terms, they can be added together.
7z + 7z = 14z
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20.3 m greater-than-or-equal-to 20.3
Answer: 17 miles
Step-by-step explanation:
The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 mile
If Henri has $14.00, the number of miles he can afford to ride in the taxi is 17 miles.
Option (B) is correct.
What is a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
The equation for this situation is as follows:
The taxi service charges a flat fee of $1.25 and $0.75 per mile.
Hence,
let
x = number of miles
y = 0.75x + 1.25
where
y = $14
14 - 1.25 = 0.75x
12.75 = 0.75x
Therefore,
x = 12.75 / 0.75
x= 17
Therefore, the number of miles he can afford is 17 miles.
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I need help on this problem for 50 points 3000x9000
Answer:
The answer is 27,000,000
of
5
What is
Domain
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
(hope this helps :P)
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=−5 is a straight line perpendicular to the y-axis at point (0,−5), which means that the range is a set of one value {−5}.
(I will mark brainliest) Use this equation to solve for the missing variable:
y = 8x + 12
If x = -6, y = _____
If y = 13, x = _____
Answer: x would be 1/8 and y would be -36
Step-by-step explanation:
To find put y you would plug in -6 for x. So it would be y=8(-6)+12. Then you multiply the 8 and -6 to get -48, y=-48+12. Then subtract 48 from 12 and that is -36 so y=-36. To solve for x you would plug in the y or 13 into the equation. So, 13=8x+12. Then you would have to solve. 12 minus 13 is 1 and the you are left with 1=8x then you divide 1/8 and 8x/8 and you get x=1/8. Hope this helped!
ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions
Answer:
this is the closest i can get to the answer
1. 0.33/1 = 0.33
2. how much it costs per ounce
3. it represents the facts that it costs 0.33 per ounce
4. y=0.33x+0.33
sorry if it's wrong
Use the following figure to answer the question.
1
2
If _1 and 2 are equal, then lines /and mare parallel.
True
False
Answer:
true
Step-by-step explanation:
because angle 1 and 2 can only be equal if the lines are parallel
Simplify -4 + (-3) + 6.
Answer:
-1
Step-by-step explanation:
that's the answer..... use calculator or phtomath
Help me pls pls pls
Answer:
F, J, K
Step-by-step explanation:
The other choices are regarded as expressions not equations, in which you can find the value of the the given variable.
Sunita is buying some fabric. The total yardage of the fabrics is about 13 yards. Which sum is about 13?
Answer:
13*3=39ft (if thats what ur looking for)
Step-by-step explanation:
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
what is 243.275 in expanded form
Answer:
200,000 + 40,000 + 3.000 + 200 + 70 + 5
Step-by-step explanation:
Answer:
243.275 = (2 * 100) * (4 * 10) * (3 * 1) * (2 * 1/10) * (7 * 1/100) * (5 * 1/1,000)
Step-by-step explanation:
Hope this helps! :)
11 is the quotient of a number y and 6.
Answer:
y = 66
Step-by-step explanation:
11 = y/6
11*6 = y
66 = y
Kamala spent a total of $4.32 to buy
6 pencils. Each pencil cost the same
amount. What was the cost of each
nencil2
Give the area of land 25m wide and 50m long
The area of the land is 1250 square meters.
What is the area of the rectangle?
To find the area of a rectangle, we multiply the length by the width.
So the formula for finding the area of the rectangle is
Area = Length * Width
In this case, the land is 25 meters wide and 50 meters long, so the area is:
Area = length × width
Area = 50 m × 25 m
Area = 1250 m²
Hence, the area of the land is 1250 square meters.
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PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
A) 1/2(3)(2.6)=3.9
B) 1/2(3)(5)=7.5
C) 7.5x3=22.5
D) 22.5+3.9=26.4
Step-by-step explanation:
A) 1/2(3)(2.6)=3.9
B) 1/2(3)(5)=7.5
C) 7.5x3=22.5
D) 22.5+3.9=26.4
A recipe for brownies calls for 4 cups of flour to 6 cups of sugar.
How many cups of sugar, per cup of flour, does the recipe require?
Enter your answer in the box provided as an improper fraction.
Answer:
i dont know the answer sorry
Step-by-step explanation:
Socks cost $5 per pair.
The expression 5p
represents the cost in dollars of p pairs of
socks. Why must o be a whole number?
Answer:
because there is no cents, so its a whole number, and it will help if u put the answer choices
Step-by-step explanation:
Answer:
the whole number is 5 , but I don't understand what the question is ... "if one pair of socks cost 5 dollars, how much would however pairs of socks cost" . is that what the question says ?
Step-by-step explanation:
Help me pls pls pls
can 2x-15 be factored