Answer:
0.073
Step-by-step explanation:
The question is about growth function and you are asked to find out the growth rate. Growth function has a format of
y = a(1+r)^t
Where
y= future value = S(t)
a= current value = 273
r= growth rate
t= time =t
Since its a growing function, the r will be positive. If its decay function then the r will be negative. As you can see, the growth rate value is located inside the parentheses. The growth rate of the function should be:
(1+r)= (1.073)
r= 1.073- 1
r= 0.073
A gondola plans to pick up 1410 ft3 (110 tons) of iron ore to deliver to a manufacturing plant. The 41-ft gondola has a width of 9.5 ft and a height of 5 ft.
Answer:
Vgondola=lwh
=(41)(9.5)(5)
=1947.5 ft3
Step-by-step explanation:
plz give me brainliest
Simplify the expression 9k(8k+7)
Answer:
135k
Step-by-step explanation:
9k*8k=72k
9k*7=63k
72k+63k=135k
Answer:
72k²+7
Step-by-step explanation:
Multiply 9k and 8k. After that, you will get 72k² because there are two k numbers. so you leave +7 and put that in the equation then you get 72k²+7.
what is a numerator
Answer:
A numerator is the number that you actually have, the top number in a fraction
Step-by-step explanation:
A numerator is the top number on a fraction, such as 1 in 1/2.
I had trouble at this for a while when I was younger, so hopefully this helps (=>ω<=)
a number divided by three less two is at most two
x ≤ 12
Solution:
Let us take the number be x.
A number : x
A number divided by three : [tex]$\frac{x}{3}[/tex]
A number divided by three less two : [tex]$\frac{x}{3}-2[/tex]
A number divided by three less two is at most two : [tex]$\frac{x}{3}-2\leq 2[/tex]
Now, simplify the inequality,
[tex]$\Rightarrow\frac{x}{3}-2\leq 2[/tex]
Add 2 on both sides of the inequality,
[tex]$\Rightarrow\frac{x}{3}-2+2\leq 2+2[/tex]
[tex]$\Rightarrow\frac{x}{3}\leq 4[/tex]
Multiply by 3 on both sides of the equation,
[tex]$\Rightarrow\frac{x}{3}\times3\leq 4\times3[/tex]
[tex]$\Rightarrow x\leq 12[/tex]
Hence x ≤ 12.
Final answer:
The question requires setting up an inequality to express the condition 'a number divided by three less two is at most two.' The solution of the inequality reveals that the number in question is any number less than or equal to 12.
Explanation:
The student's question involves a number theoretical concept that requires setting up and solving an inequality. To understand the requirement of 'at most two' when a number is divided by three and reduced by two, we would establish an inequality as X / (3-2) ≤ 2, where X is the unknown number. This inequality represents the condition mentioned in the question, which restricts the value of X to a certain range after the operations are performed.
When working through the inequality, we aim to isolate X to determine the possible values it can hold. Here, we would start by adding two to both sides of the inequality to remove the subtraction, leading to X / 3 ≤ 4. Multiplying both sides by 3 gives us X ≤ 12. This tells us that the number in question is any number that is less than or equal to 12.
Understanding mathematical operations and the interpretation of numerals in context is necessary to solve such problems. Specifically, discerning the difference between an 'at least' and 'exactly' reading of numerals impacts the formation and solution of such inequalities.
Find the diagonal of the rectangular solid. l=4 w=5 h=3
Answer: d≈7.07
Step-by-step explanation:
l=4 w=5 h=3, then d≈7.07
[tex]d=\sqrt{l^{2}+w^{2} +h^{2} } =\sqrt{4^{2}+ 5^{2}+ 3^{2} } =7.07[/tex]
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
17. Jake walks 3/10 mile each day for 8 days.
How far does Jake walk?
Answer:
2.4 miles
Step-by-step explanation:
3/10 miles per day * 8 days = 2.4 miles
Answer:
24/10= 2.4 miles
Step-by-step explanation:
Multiply 3/10 by 8 which can also be made as 8/1 so
3*8=24
10*1=10
24/10 can be simplified to 2.4
solve -(3+8n)=-6(2n+1)-5
Answer:
n= -2
Step-by-step explanation:
x squared equals x plus 56
Answer: 8 squared equals 8 plus 56
Step-by-step explanation:
What you would do is find a number squared that is greater than 56. I used 8 because 8 squared is 64. So i squared that and got 64, I then subtracted 8 from 64 because you would need to use the same x value in the equation and that lead me t getting 56. All in all x=8.
Solve each equation. Record your work and check your solution.
a. 5(x-2)+(-9)= -7(1-x)
The solution for equation is x = -6
Solution:
Given equation is:
[tex]5(x-2) + (-9) = -7(1-x)[/tex]
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
[tex]5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x[/tex]
Solve for terms in left hand side of equation
[tex]5x - 19 = -7+7x[/tex]
Move the variables to one side and constants to other side
[tex]7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6[/tex]
Thus the solution for equation is x = -6
An oil barrel contains 31.6 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel? Round your answer to the nearest tenth.
Final answer:
To convert gallons to liters, use the conversion factor of 1 gallon being equal to 3.8 liters to find that there are approximately 120.1 liters of oil in the barrel.
Explanation:
To convert gallons to liters, we need to use the conversion factor of 1 gallon being equal to 3.8 liters.
Calculate the total liters in the barrel: 31.6 gallons * 3.8 liters/gallon = 120.08 liters
Therefore, there are approximately 120.1 liters of oil in the barrel.
Big drop is twice as long as little drop how long is little drop?
The length of the Little Drop is unknown. However, the question defines that the Big Drop is twice the length of the Little Drop. The exact length cannot be factually stated without more information.
Explanation:The question states that the Big drop is twice as long as the little drop. Let's say that the length of Little Drop is represented as 'L'. We don't know the exact length of 'L', but we can say that the length of the Big Drop is twice this, which can be represented as 2L.
Since we don't have a specific measure given for either drops, the exact length of Little Drop can't be determined from the information provided. However, whatever it is, we understand that Big Drop is twice that length.
This question is a good demonstration of relative sizing in Mathematics, where we use one unknown quantity to express the size of another
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If A = (10, 4) and B = (2, 19), what is the length of Ab?
O
A. 17 units
O
O
B. 12 units
O
C. 23 units
D. 15 units
what is an equation for the line that passes through the points (0,-4) (7,11) in slope-intercept form
Answer:
y=15/7x-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(11-(-4))/(7-0)
m=(11+4)/7
m=15/7
y-y1=m(x-x1)
y-(-4)=15/7(x-0)
y+4=15/7(x)
y+4=15/7x
y=15/7x-4
Aiko had $20 dollars to buy candles returned 2 candles for which she had paid $4.75 each. Then she brought 3 candles for $3.50 each and I candle for $5.00. How much money Aiko have then?
Aiko has -$5.50 after buying the candles.
Explanation:To find out how much money Aiko has after buying candles, we need to calculate the total amount spent on the candles and subtract it from the initial $20.
Aiko initially had $20. She returned 2 candles for $4.75 each, so she got back 2 x $4.75 = $9.50.
Then, she bought 3 candles for $3.50 each, which amounts to 3 x $3.50 = $10.50.
Finally, she bought 1 candle for $5.00.
The total amount spent on candles is $4.75 x 2 + $3.50 x 3 + $5.00 = $9.50 + $10.50 + $5.00 = $25.50.
To calculate how much money Aiko has left, we subtract the total spent from the initial amount: $20 - $25.50 = $-5.50.
Therefore, Aiko owes $5.50 after buying the candles.
A rectangle is
2
5
inches long and
1
3
inches wide.
What is the area of the rectangle?
Enter your answer in the box as a fraction in simplest form.
in2
Answer:
2/15in^2
Step-by-step explanation:
Area of rectangle is given by:
where
A is the area of rectangle
l is the length of the rectangle
w is the width of the rectangle
As per the statement:
a rectangle is 2/5 inches long and 1/3 inches wide
then using area formula we have;
Answer:
the answer is 325
Step-by-step explanation:
Elijah is looking up to the top of the Washington Monument. If the monument is 555 feet tall and the
angle of elevation from the point on the ground where Elijah is standing to the top is 74', how far is
he standing from the base of the monument?
Answer:
Elijah is standing from the base of the monument 159.14 feet
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
[tex]tan(74^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)
substitute the given values
[tex]tan(74^o)=\frac{555}{AC}[/tex]
solve for AC
[tex]AC=\frac{555}{tan(74^o)}=159.14\ ft[/tex]
therefore
Elijah is standing from the base of the monument 159.14 feet
what quadrilateral has one pair of parallel sides?
Answer: Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with one pair of parallel sides.
A parallelogram has two pairs of parallel sides
find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 inches
The area of parallelogram is 108 square inches
Solution:
The formula for area of parallelogram is:
[tex]Area = base \times height[/tex]
From given,
[tex]Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet[/tex]
[tex]Height = 6\ inches[/tex]
Convert feet to inches
1 feet = 12 inches
[tex]\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches[/tex]
Therefore, area of parallelogram is:
[tex]Area = 18 \times 6\\\\Area = 108[/tex]
Thus area of parallelogram is 108 square inches
(THIS ONE FIRST)The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube volume = s cubed.
s = RootIndex 3 StartRoot 27 EndRoot
s = 3 + 3 + 3
s = StartRoot 27 EndRoot
s = 3 times 3 times 3 times 3
Yo sup??
The answer to your question is option 1 ie
s=rootindex 3 startroot 27 endroot
because we know that
Volume of cube=s^3
27=s^3
s=27^1/3
Hope this helps.
Answer: A? It’s A
Step-by-step explanation:
What is the order of this matrix.
Answer:
the order of the matrix is 5 x 3
5 rows and 3 columns
The given expression represents the area. Find the side length of the square.
The length of one side is _______.
Answer:
2x + 5
Step-by-step explanation:
Make sure you remember the area of a square with side which is [tex]s^{2}[/tex]. Once you figure that out, you need to find the length of a side, make sure you factor the expression of the area as a perfect-square trinomial.
An example of that is...
[tex]a^{2} +2ab+b^{2}[/tex] [tex]= (a +b)^{2}[/tex]
^^key point^^
Break it down and take the length out of the Square of Sum and you should get your answer.
Example: Use Square of Sum and get [tex](2x+5)^{2}[/tex] then, get rid of parentheses >> 2x + 5 and you should get your answer :)
Which describes the location of vertex M after translation
Answer:
A
Step-by-step explanation:
A horizontal translation of - 3 means to subtract 3 from the original x- coordinate.
A vertical translation of - 3 means to subtract 3 from the original y- coordinate, thus
M(2, 2 ) → M'(2 - 3, 2 - 3 ) → M'(- 1, - 1 ) → A
Find the value of x.
A. 39
B. 21
C. 40
D. 119
Answer:
the answer is D 119
hope it helps!
The sum of the interior angles of a triangle is equal to 180 degrees. Using this property, we can solve for the unknown angle in the triangle. In this case, the unknown angle is x. By setting up an equation and solving for x, we can determine that the value of x is B) 21.
The answer is B. 21.
The sum of the angles in a triangle is 180 degrees. So, we have the following equation:
(5x+14) + 40 + x = 180
Combining like terms, we get:
6x + 54 = 180
Subtracting 54 from both sides, we get:
6x = 126
Dividing both sides by 6, we get:
x = 21
Therefore, the value of x is 21.
For such more questions on interior angles
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State whether the number is a solution to the given inequality
X>-17;-14
Answer:
it is a solution
Step-by-step explanation:
When you put the number where x is, you get ...
-14 > -17 . . . . a true statement
Since this statement is true, x=-14 is a solution.
The number -14 is a solution to the inequality X > -17 in mathematics as it falls within the range of numbers greater than -17.
Explanation:In the realm of mathematics, inequalities define a range of values that can be a solution. In this case, the inequality is X > -17. This means any number greater than -17 is a solution to the inequality. If we consider -14, it falls within this range because -14 is greater than -17. Therefore, yes, -14 is a solution to the given inequality.
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9 x 44 mentally using distributive property to solve and show steps
Answer:
Step-by-step explanation:
9 * 44 =
9 (40 + 4) =
9(40) + 9(4) =
360 + 36 = 396
Final answer:
To mentally calculate 9 x 44, use the distributive property by multiplying 9 by 40 and 9 by 4, then adding the results to get 396.
Explanation:
The question asks how to mentally calculate 9 x 44 using the distributive property. To do this, you can break down the multiplication into simpler parts. First, use the distributive property to express 44 as the sum of 40 and 4. Multiply 9 by each part:
9 x 40 = 360
9 x 4 = 36
Then, add the two results together:
360 + 36 = 396
So, 9 x 44 equals 396.
Tracy has 26 pennies mark has 29 pennies who has the greater number of pennies
Answer:
Find what number is larger
Answer:
Mark
Step-by-step explanation:
29 is bigger than 26
What is 15.35=x -1.84
Answer:
-8.34
Step-by-step explanation:
Divide -1.84 by 15.35 and you will get -8.342391304 and then round to whatever (is round to -8.34) and that’s your x value.
Find the value of ‘c’ such that the expression is a perfect-square trinomial
x^2+6x+c
c= __
c = (x + 3)^2
Step-by-step explanation:
(6/2)^2 = (36/4)
= 9
=x^2 + 6x + 9
= (x + 3)(x + 3)
c = (x + 3)^2
Solve algebraically for x:3(x+1)-5x=12-(6x-7)
Answer:
x=4
Step-by-step explanation:
3(x+1)-5x=12-(6x-7)
3x+3-5x= 12-6x+7
-2x+3=19-6x
-2x+6x=4x
19-3=16
4x=16
16/4=4
x=4
are y=2x+6 and 6t=2x+9 perpendicular
Answer:
Therefore,
[tex]y=2x+6[/tex] and
[tex]6y=2x+9[/tex] are not Perpendicular.
Step-by-step explanation:
Given:
[tex]y=2x+6[/tex] ............................Equation of line( 1 )
[tex]6y=2x+9\\y=\dfrac{1}{3}+\dfrac{3}{2}[/tex] ............................Equation of line( 2 )
Solution:
So the Equations are written in
[tex]y=mx+b[/tex]
Where m is the slope of the line
On Comparing we get
[tex]Slope = m1 = 2[/tex]
[tex]Slope = m2 = \dfrac{1}{3}[/tex]
So for the lines to be Perpendicular.
Product of slopes = - 1
m1 × m2 = -1
So Product of slopes of the given lines are
[tex]m1\times m2=2\times \dfrac{1}{3}=\dfrac{2}{3}[/tex]
Which is not equal to -1
Therefore,
[tex]y=2x+6[/tex] and
[tex]6y=2x+9[/tex] are not Perpendicular.