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
A box contains 2 red marbles 3 green marbles and 3 blue marbles if we choose a marble then another marble without putting the first one back in the box what is the probability that the first marvel will be green and the second will be blue
Answer: 9/56
Step-by-step explanation:
-4 > -2n
What could n be??
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n>2
Interval Notation:
(2,∞)
Factor this polynomial completely 6x^4-30x³-84x²
Step-by-step explanation:
Given
6x^4 - 30x³ - 84x²
= 6x² ( x² - 5x - 14 )
= 6x² ( x² - ( 7 - 2 ) x - 14 )
= 6x² ( x² - 7x + 2x - 14 )
= 6x² {x(x - 7) + 2 ( x - 7)}
= 6x² ( x - 7) (x +2 )
Hope it will help :)
Answer: 6x² ( x - 7) (x +2 )
Step-by-step explanation:
If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor of 1⁄2, write an equation to represent the new function.
Answer:
h(x) = 1/2f(-x)Step-by-step explanation:
Let the parent function be:
f(x)Reflection over y-axis:
g(x) → f(-x)Vertical compression by a factor of 1/2:
h(x) → 1/2g(x)Final function in terms of parent function:
h(x) = 1/2f(-x)7) A baker had eighteen boxes for
donuts. He ended up making seven
hundred sixty-three donuts and
splitting them evenly between the
boxes. How many extra donuts did he
end
up
with?
Answer:
7
Step-by-step explanation:
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Answer:
There are a total of 24 players and 4 teams.
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Clarence made a diagram to compare codominance and incomplete dominance. Which label belongs in the area marked Y? Neither allele is dominant. An intermediate phenotype is expressed in offspring. One allele is dominant over the other. Both dominant alleles are fully expressed in offspring.
Answer:
The correct answer is both dominant alleles are fully expressed in offspring.
In the incomplete dominance inheritance, one allele is not completely expressed over its paired allele and forms an intermediate trait, whereas in co-dominance, both the alleles express completely resulting into a new phenotype. For example AB blood group in humans.
In the given question Y is the intersection of co-dominance set and incomplete dominance set. Thus, the area Y may have one dominant allele from co-dominance and one allele which is not completely dominant from incomplete dominance.
Therefore, the label to marked area Y may be - both dominant alleles are fully expressed in offspring.
Step-by-step explanation:
yw
tu respuesta es d que tengas un buen día
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Answer:
Sure. Now what do you need help on? Please post the question.
Step-by-step explanation:
Kayla takes 7 hours to mow 2 lawns. At this rate, how long will it take her to mow 13 lawns?
Answer: at least 6 more hours
Step-by-step explanation:
Answer:
45 hours and a half
Step-by-step explanation:
Divide 7 by 2. Multiply 7 by 13
Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?
Answer:
2. 4 meters long
Step-by-step explanation:
0. 6 times 4 equals 2. 4
Please help nobody is helping so far please help
The surface area is 516 square feet
Answer: 152ft square
Hope this helps!
Does this expression represent the sum 13.76 + 2.8?
14 + 4/100
Answer:
This might be wrong.
False?
Answer:
False
Step-by-step explanation:
14 plus 4/100 equals 14.04
13.76 plus 2.8 equals 16.56
if right answer I will give brainly and 90 points
Answer:
i can bet my brainliest that the answer is c
Step-by-step explanation:
Question 10
Five numbers are described below.
Drag the values described into the correct order from LEAST to GREATEST. Use the number line as needed to help you order the values.
Answer:
the opposite of the opposite of -9, the opposite of 6, the opposite of 4, the opposite of 0, the opposite of the opposite of 7
Explanation:
the opposite of 4 = -4
the opposite of the opposite of -9 = -9
the opposite of 6 = -6
the opposite of the opposite of 7 = 7
the opposite of 0 = 0
Then you just put them in order.
Hope this helps!
Which expressions are equivalent to 7(-3/4x-3)? Select two options.
Answer:
7(-3/4x-3) is the same as
7(-3/4x)-7(3) and
-5 1/4x-21
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
got 100 on the quiz
The amusement park won’t allow kids to ride roller coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inches every month. How many months will it be until Michael can ride a roller coaster? (Solve with inequalities and solve for x)
42+1/2x=48
1/2x=6
x=6*2
x=12
12 months or a year until he could ride a roller coaster.
What single percentage change is equivalent to a 11% increase followed by a 15% increase?
Answer:
It's a total increase by 27,65%
Step-by-step explanation:
1,11 × 1,15 = 1,2765
1,2765 = +27,65%
4. Use the two patterns below. What are the first four ordered pairs formed from
corresponding terms of the two patterns? *
Add 4: 0, 4, 8,
Add 2: 0, 2, 4,
Answer:
0,2,4,8
Step-by-step explanation:
:)
For the geometric sequence, find the sum of the specified number of terms.
The first 8 terms of 4, -12, 36, ...
S8=
Given:
The geometric sequence is
[tex]4, -12, 36,...[/tex]
To find:
The sum of first 8 terms of the given geometric sequence.
Solution:
We have,
[tex]4, -12, 36,...[/tex]
Here, the first term is 4 and the common ratio is
[tex]r=\dfrac{-12}{4}[/tex]
[tex]r=-3[/tex]
The sum of first n terms of a geometric sequence is
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting n=8, a=4 and r=-3, we get
[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]
[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]
[tex]S_8=-6560[/tex]
Therefore, the sum of first 8 terms is -6560.
Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up
Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
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Answer:
Step-by-step explanation:answer is c
(5 + 7) = x
In word form
Answer:
Five plus seven equals x
Step-by-step explanation:
Answer:
Five plus seven equals x
Step-by-step explanation:
Use the table to answer the question below.
.
0
2
1
8
2.
32
3
128
4
512
Which of these best represents the function shown in the table?
f(x) = 2(4*)
0
f(x) = x + 2
f(x) = 6x + 2
f(x) = x5
Answer:
c: f(x) = 2(4^x)
Step-by-step explanation:
the table shows that the function is exponential rather than linear.
The best that represents the function shown in the table;
c: f(x) = 2(4^x)
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical.
Thus, the table shows that the function is exponential rather than linear.
We are given the table through which we have to make a function.
The function becomes as;
[tex]f(x) = 2(4^x)[/tex]
This function shows exponential rather than linear.
Learn more about function here:
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Simplify each expression. (10x3y2/5x-3y4)-3 x=0 y=0
Answer:
D
Step-by-step explanation:
URGENT NEED ANSWERS •_•
Would y^10/y^10 become 1?
Answer:
yes
Step-by-step explanation:
If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y
If you are multipling the answer will be y^10 because 10 plus 10 is 20 and you keep the base which is y
A line that includes the points (-9, h) and (-8, 9) has a slope of 10. What is the value of h?
Answer:
-1
Step-by-step explanation:
Use the rule y2-y1 / x2-x1
y1 = h
y2 = 9
x1 = -9
x2 = -8
so you get
9-h / (-8) - (-9) = 10
cross multiply to get
9-h = 10
so -h = 10-9
so h = -1
What is the inequality shown?
This type of graph is called a segment.
To write the solution set which represents the graph
of a segment, read the segment from left to right.
If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.
Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.
It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."
So the solution for this graph is read {x: -4 < x ≤ 5}.
What is the area of an equilateral triangle with perimeter 24 inches?
Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that
the coin flips heads, and
the spinner lands on either red or blue?
Enter your answer as a percentage, to the nearest percent.
Answer:
1/3 ! i think?
Step-by-step explanation:
there's a 1/2 chance it lands on heads and a 2/3 chance it lands on red or blue and 1/2 x 2/3 is 1/3
The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.
Calculation of the probability:Since Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue.
Since there is half chance for heads and 2 by 3 for landing on red or blue
So, the probability should be
[tex]= 1/2 \times 2/3 \\\\= 1/3[/tex]
Hence, The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.
Learn more about probability here: https://brainly.com/question/15783859