This is what she/he is saying:
A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of the circle increase by said wave?
factor 2w+6
Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)
Answer:
2( w + 3 )
Step-by-step explanation:
Well first off, since theres no common term to factor out, I had to split 6 in half
so 2 w + 6 becomes 2w + 2 x 3.
I then factored out 2 because it's a common term,
which then leaves: 2( w + 3 )
basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.
Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i
Answer:
The distance between given points is: √20
Step-by-step explanation:
The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.
Given numbers are:
[tex]z_1 = 2-3i\\z_2 =4+i[/tex]
The difference will be calculated as:
[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]
The distance will be:
[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]
Hence,
The distance between given points is: √20
PLEASE HELP!!
The blue dot is at what value on the number line?
Pictrure Below:
Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper?
A. 38x- 1,450>76
B. 38(x + 1,450)>4,000
C. 38x> 4,000
D. 38x + 1,450> 4,000
What's 84 divided by 10 1/5? Thanks.
Answer:
8.23529412
Step-by-step explanation:
Do long division to get the answer as simple as that!
Answer:
168
Step-by-step explanation: (10 1 ÷5) ÷ 84
Wich calculation will ALWAYS have a result greater than 1
Step-by-step explanation:
number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1
You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?
Answer:
1/8
Step-by-step explanation:
1 divided by 2 = 1/2
1/2 divided by 2 = 1/4
1/4 divided by 2 = 1/8
A rancher has a square cow pen with side length x. He decides to change the shape
of the pen while still using the same amount of fencing materials. The equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
of the pen and its area (in square feet).
a. If 300 represents the area of the new cow pen, what do the expressions
(x + 10) and (x - 10) each represent?
b. Find x, the original side length (in feet) of the square pen. Show your reasoning.
Answer:
a) x+ 10 is the length of the ranch
x - 10 is the width of the ranch
b) 20 feet
Step-by-step explanation:
Area of the square ranch = L²
L is the side length of the ranch
If the equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
Then we can find x where;
x + 10 is the new length of the ranch
x - 10 is the new width of the ranch
Open the parenthesis
equation
(x + 10)(x - 10) = 300
x²²-10x + 10x - 100 = 300
x² - 100 = 300
x² = 300+100
x² = 400
x = √400
x = 20
Hence the original length of the square pen is 20 feet
The values (x + 10) and (x - 10) represents the length and width of the new pen.
The value of x, the original length of the pen is 20 cm
How to find the side of a square?The pen is a square. It was later reconstructed to form the following expression.
(x + 10)(x - 10) = 300
where
area = 300 feet squaredTherefore,
(x + 10)(x - 10) = 300
x² - 10x + 10x - 100 = 300
x² - 100 = 300
x² = 300 + 100
x² = 400
x = √400
x = 20 ft
Therefore, the original side length of the square pen is 20 ft.
learn more on square here: https://brainly.com/question/23821172
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If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
1. Here is a number line. Write the two missing numbers in the boxes.
0
2
Answer:
The box on the left is 0.4 and the box on the right is 1.8
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
What is 5-4 in the quadratic
Answer:
1
Step-by-step explanation:
The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.
Answer:
The answer is undefined
Step-by-step explanation:
The slope of the line that passes through points (2, -3) and (2, 13) is not defined.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through points (2, -3) and (2, 13)
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug the values to find the slope of the line:
m = (13 + 3)/(2-2) = 16/0 = not defined
Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.
Learn more about the linear equation here:
brainly.com/question/11897796
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If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Answer:
x = 2 or x = -3
Step-by-step explanation:
Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.
Thus:
[tex] RT = BC [/tex]
[tex] (x^2 + x) = 6 [/tex]
Solve for x
[tex] x^2 + x = 6 [/tex]
Subtract 6 from each side
[tex] x^2 + x - 6 = 6 - 6 [/tex]
[tex] x^2 + x - 6 = 0 [/tex]
Factorise
[tex] x^2 + 3x - 2x - 6 = 0 [/tex]
[tex] x(x + 3) -2(x + 3) [/tex]
[tex] (x - 2)(x + 3) [/tex]
x = 2 or x = -3
Roxanna has a collection of silver spoons from all over the world.
- If the spoons are arranged in sets of 7, there are 5 left over.
- If the spoons are arranged in sets of 8, there is 1 left over.
- If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponentially over many years. In 1971, the DDT concentration was 13.00 ppm (parts per million). In 1984, the DDT concentration was 2.22 ppm.
Using these data points, determine the exponential decay function to model the DDT concentration decline in terms of years, tt, where t=0t=0 represents the year 1971.
A) Write your function as y = Ce^{rt}y=Ce^rt. Round your value of rr to four decimal places.
B) Another way to write the function down is known as the half-life formula, written as y = C(0.5)^{t/H}y=C(0.5)^t/H, where HH is the time required for the concentration to get cut in half. Using the initial two data points, find the value of HH, rounded to 2 decimal places. Show all Algebraic work.
C) The goal was to reduce the DDT concentration to 0.98 ppm by 1995. Was this possible according to your model?
Answer: A) [tex]y=13e^{-0.1359t}[/tex]
B) H = 5.10
C) Yes
Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: [tex]y(t)=Ce^{rt}[/tex]
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
[tex]y(t)=Ce^{rt}[/tex]
[tex]2.22=13e^{13r}[/tex]
[tex]e^{13r}=0.1708[/tex]
Using a natural logarithm property called power rule:
[tex]13r=ln(0.1708)[/tex]
[tex]r=\frac{ln(0.1708)}{13}[/tex]
[tex]r=-0.1359[/tex]
The decay function for concentration of DDT through the years is [tex]y(t)=13e^{-0.1359t}[/tex]
B) The value of H is calculated by [tex]y=C(0.5)^{\frac{t}{H} }[/tex]
[tex]2.22=13(0.5)^{\frac{13}{H} }[/tex]
[tex](0.5)^{\frac{13}{H} }=0.1708[/tex]
Again, using power rule for logarithm:
[tex]\frac{13}{H} log(0.5)=log(0.1708)[/tex]
[tex]\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}[/tex]
[tex]\frac{13}{H} =2.55[/tex]
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model [tex]y(t)=13e^{-0.1359t}[/tex] to determine concentration of DDT in 1995:
[tex]y(24)=13e^{-0.1359.24}[/tex]
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle.
The length of the rectangle is ___cm and the width of the rectangle is ___cm.
width of the rectangle = b = x
length of the rectangle = l = 8 + 2x
Perimeter of the rectangle = 70cm
Also, perimeter of the rectangle = 2(l + b)
70 = 2[x + (8 + 2x)]
70 = 2(x + 8 + 2x)
70 = 2(3x + 8)
70 = 6x + 16
70 - 16 = 6x
54 = 6x
54/6 = x
9 = x
Therefore, b = x
b = 9cm
l = 8 + 2x
I = 8 + 2×9
I = 8 + 18
I = 26cm
Pls answer 55-62 I will give brainlist
2 4/5 ___ 2.45
(>,<,=)
Answer:
2 and 4/5 > 2.45
Step-by-step explanation:
2.8 is greater than 2.45
Answer:
2 4/5 is equal to 2.8 so 2 4/5 > 2.45
Step-by-step explanation:
F=1.8C+32 solve for given variable
Answer:
Step-by-step explanation:
The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)
Please help me, thanks!
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
14.4 there sorry for the wait
what is 0.125 in a percent
-2/3 x 3/4
Please help!
Answer:
-1/2
Step-by-step explanation:
Answer:
-9/8.
Step-by-step explanation:
-3/2 * 3/4
= -3*3 / 2*4
= -9/8.