g 6. if you had to hike up the top of stone mountain which side would you choose to climb? why? (remember your rules about contour intervals! use the cardinal direction in your description.) 7. you do not have enough information from this map to calculate the slope. what are you missing?
I would choose the western side to climb because it is less steep then others.
What is steepness?In mathematics, a line's steepness is determined by its slope (or gradient). The slope is the ratio of any two points on a line's vertical and horizontal distances. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical. If a line rises from left to right, it is said to be increasing.
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what is the value in the equation 2x - 10 = 30
Answer: x=20
Step-by-step explanation: 2(20)=40 40-10=30
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15 feet above him. What is Tristan's depth?
Answer:
Tristan is 18 feet below the surface. or Tristans depth is -18ft
Step-by-step explanation:
if Nick is -33 depth and Tristan is 15 feet above him, then you d
-33+15 = -18
so Tristan must be at -18 depth
A farmer noticed that the ratio of apples produced by Type A and Type B trees is 1:5. If the total number of apples produced during a particular season was 24,000, how many apples did Type A trees produce?
1. 1000
2. 2000
3. 3200
4. 4000
Type A trees produced 4. 4,000 apples, based on their ratio to the total production of apples during the season.
What is the ratio?The ratio refers to the relative value of one variable or number to another.
Ratios are expressed as fractional values using percentages, decimals, and fractions.
The ratio of apples by Type A and Type B trees = 1:5
The sum of ratios = 6
The total number of apples produced in the season = 24,000
The ratio of Type A apples to the total = 1/6
The number of Type A apples = 6,000 (24,000 x 1/6)
Thus, we can conclude that Type A trees produced 6,000 apples while Type B trees produced 18,000 apples.
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The weights (in ounces) of 14 different apples are shown below. Find Q 3. 5.7 5.5 4.7 4.4 6.8 5.7 5.5 6.9 6.0 4.4 5.7 6.9 4.4 4.6
find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100
Answer:
S=2+4+6+…+100
S=100+98+96+…+2
Adding the two yields
2S=102+102+102+…+102 = 50(102)
Thus S=50(51)=2550
Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
Given function is,f(t) ={ t, 0 < t < π π < t < 2π}
where f(t + 2 π) = f(t)
Let's take Laplace Transform of f(t)
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)
∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}
⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0
when e^{2πs} ≠ 1 ⇒ s ≠ 0
∴ The Laplace Transform of f(t) is
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...
= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
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Which of the expressions below has a 8 in the ones place of the sum? Select all that apply.
A) 34.56 + 24.89
B) 72.35 + 45.81
C) 9.56 + 9.41
D) 12.34 + 15.42
The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The expression that shows the number 8 in one's place.
Let's check all the options, then we have
A) 34.56 + 24.89 = 59.45
In the number 59.45, the one's place is 9. So, it is incorrect.
B) 72.35 + 45.81 = 118.16
In the number 118.16, the one's place is 8. So, it is correct.
C) 9.56 + 9.41 = 18.97
In the number 18.97, the one's place is 8. So, it is correct.
D) 12.34 + 15.42 = 27.76
In the number 27.76, the one's place is 7. So, it is incorrect.
The expression that shows the number 8 in one's place will be 72.35 + 45.81 and 9.56 + 9.41. Then the correct options are B and C.
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Write an equation describing the relationship of the given variables.
y varies inversely as the cube root of x and when x = 216, y = 5.
We are to write an equation describing the relationship between variables y and x, given that y varies inversely as the cube root of x, and when x = 216, y = 5.
An inverse variation relationship is expressed in the form:y = k/x
Where k is a constant of variation.
This means that if y varies inversely with the cube root of x,
then we can express this relationship as: y = k/x^(1/3)Taking x = 216 and y = 5,
we can find the value of k:k = xy^(1/3) = (216)(5^(1/3))
We can now substitute this value of k in the equation: y = k/x^(1/3)
= [(216)(5^(1/3))] / x^(1/3).
The relationship between the variables can be expressed as y = k/x^(1/3).
This equation is derived from the inverse variation relationship which states that y is inversely proportional to the cube root of x.
This equation can be used to find the value of y for any given value of x.
To find the value of k, we need to use the fact that when x = 216, y = 5.
Using these values, we can find the value of k to be k = xy^(1/3
) = (216)(5^(1/3)).
Substituting this value of k in the equation,
we get y = [(216)(5^(1/3))] / x^(1/3).
This equation can be used to find the value of y for any given value of x.
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Ammonium sulfate is added to barium hydroxide, forming ammonium hydroxide and barium sulfate. If 1.50 moles of barium hydroxide are reacted, how many moles of ammonium hydroxide will be produced
After considering the given data we conclude that 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.
To describe the number of moles of ammonium hydroxide produced when 1.50 moles of barium hydroxide are reacted, we have to balance the chemical equation and use the stoichiometric ratios.
The balanced chemical equation for the reaction is:
\(Ba(OH_{2} ) + (NH_4) _2 SO_4 -- > 2NH_4OH + BaSO_4\)
From the balanced equation, we can see that 1 mole of barium hydroxide reacts with 2 moles of ammonium hydroxide. Therefore, the stoichiometric ratio is 1:2.
Given that we have 1.50 moles of barium hydroxide, we can evaluate the moles of ammonium hydroxide produced using the stoichiometric ratio:
1.50 moles \(Ba(OH)_2\) × (2 moles \(NH_4OH\) / 1 mole \(Ba(OH) _2\)= 3.00 moles \(NH_4OH\)
Therefore, 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.
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The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.
Is it supposed to be 30 divided by 10?
HELP
based on the scatterplot and residual plot shown, is a linear model appropriate for summarizing the relationship? a linear model is appropriate because the residual plot shows no pattern. a linear model is appropriate because the mean of the residuals appears close to zero. a linear model is not appropriate because there are potential outliers in the residual plot. a linear model is not appropriate because of the random scatter of points in the residual plot.
Answer:A linear model is appropriate because the scatterplot shows a strong, positive linear relationship.
Step-by-step explanation:
A line that includes the point (2, 9) has a slope of 8. What is its equation in slope-intercept
form?
Answer:
y-8x+7=0
Step-by-step explanation:
slope(m)=8
using slope intercept form of equation of staright line we get
y=mx+b
y=8*x+b
y-8x=b ................ eq(i)
since the line include the point (2,9) it satisfies the euation,
here x=2 and y=9
equation: y-8x=b
9-8*2=b
9-16=-b
-7=b
substituting the value of b in eq(i) we get
y-8x=-7
y-8x+7=0 is a required equation of the line.
Please help me!!!!!!!
Answer:
a1 = 63an = 3(22-n) .........what is the degree of the expression 5x²+y+10
Answer:
2
Step-by-step explanation:
Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest
Answer: 2.4%
Step-by-step explanation:
SI = prt / 100
96 = ( 800 x r x 5) / 100
96 = 40r
r = 96 / 40 = 2.4%
What is the minimum thickness of a nonreflecting film coating (n = 1.30) on a glass lens (n = 1.50) for wavelength 500 nm?
The thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.
From the question we know that :
n = 1.30
λ = 500nm = 5 x 10¯⁷m
The non-reflective coating system is applied on glass and the refractive index of that system should be nair < ncoating < nglass. The light travels across the air and is refracted by coating film and then refracted again by the glass. For preventing the light got reflected by glass, the thickness of the layer should obey this equation :
2nt = λ/2
t is the thickness of the layer, λ is the wavelength and n is the refractive index of the film.
By substituting the following equation we get
2nt = λ/2
t = 1/4 . ( λ / n )
t = 1/4 . ( 5 x 10¯⁷ / 1.3)
t = 9.62 x 10¯⁸ m
Hence, the thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.
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O EQUATIONS AND INEQUALITIESSolving a word problem with two unknowns using a linear...
Given:
Total number of hamburgers and cheeseburgers sold = 439
There were 61 fewer cheeseburgers than hamburgers sold.
Let's determine the number of hamburgers sold.
Let C represent the number of cheeseburgers
Let H represent the number of hamburgers sold.
We have the system of equations:
• H + C = 439
,• C = H - 61
Now, let's solve the equations simultaneously using the substitution method.
Substitute (H - 61) for C in the first equation.
We have:
H + (H - 61) = 439
H + H - 61 = 439
2H - 61 = 439
Add 61 to both sides:
2H - 61 + 61 = 439 + 61
2H = 500
Divide both sides by 2:
\(\begin{gathered} \frac{2H}{2}=\frac{500}{2} \\ \\ H=250 \end{gathered}\)Therefore, they sold 250 hamburgers on Friday.
ANSWER:
250 hamburgers
Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20am?
NEED THE ANSWER ASAP
Answer:
- 1
Step-by-step explanation:
5 - 2(12-3)/2+1 = - 18/3 + 5
= - 18/3 + 15/3
= - 3/3
= - 1
32:51
On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?
Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.
9514 1404 393
Answer:
C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.
Step-by-step explanation:
Dilation multiplies each coordinate or length by the scale factor. Here, different corresponding lengths are multiplied by different values, so no dilation is involved.
__
Additional comment
Dilation shouldn't change any slopes, so if slopes of corresponding segments are different, that is another indication dilation is not involved. (No figure is supplied here, so we cannot judge slopes.)
Answer:
c
Step-by-step explanation:
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Answer:
(x-7)(x^2-5)
Step-by-step explanation:
Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function
The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
How to determine the factored form?The expression is given as:
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)
Express as difference of two squares
f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)
Expand
f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)
Factorize the expression
f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))
Factor out x + 1
f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)
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a new restaurant is interested in determining the best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees fahrenheit and 425 degrees fahrenheit for each time, with the exception of the 90 minute - 425 degree combination. that combination is being eliminated because it will overcook the lamb, which leaves five combinations remaining. from 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. the quality of the finished product is evaluated for each roast. which of the following is true?
The explanatory variable is the quality of the finished lamb.
If the experiment is repeated, identical results will be expected.
The two cuts that are being roasted for each time-temperature combination are an example of replication.
There should be a control group (i.e. a group in which no treatment is given).
The response variable is the roasting temperature for the lamb.
The two cuts that are being roasted for each time-temperature combination are an example of replication.
Given,
In the question:
The best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees Fahrenheit and 425 degrees Fahrenheit for each time, with the exception of the 90 minute - 425 degree combination.
Now, According to the question:
In the question it is given that From 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. Here it is an act of copying the exact shape size of the lamb in all cuts, which is nothing but replication. Moreover, this replication can help in proper comparison.
which of the following is true?
Hence, The two cuts that are being roasted for each time-temperature combination are an example of replication.
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The price of a go kart that Rafael wants to buy is $2,589 when the go kart goes on sale next month, the price will be $2,119. Which is the best estimate of the amount of money that Rafael will save if he waits to buy the go kart next month?
Current price of go-kart = $2,589
Price of go-kart next month = $2,119
If Rafael decides to buy the go-kart next month,
He will save $2,589 - $2,119 = $470
By definition of estimation
Estimation is an approximate calculation or judgment of the value, number, quantity, or extent of something
Approximating to the nearest hundred
$470 = $500
Therefore, Rafael will save an estimate of $500 if he wants to buy the go-kart next month
Complete the equation for the standard form of the line that has an x-intercept of 7 and a y-intercept of 4
The linear equation with the given intercepts is:
7y + 4x = 28
How to find the linear equation?A linear equation can be written in slope-intercept form as:
y = a*x + b
We know two points on this line, which are the two intercepts, these are:
(7, 0) and (0, 4)
Replacing the values of the second point in the equation we will get:
4 = a*0 + b
4 = b
So we can write:
y = a*x + 4
Now we can replace the values of the other point to get:
0 = a*7 + 4
-4 = a*7
-4/7 = a
Then the linear equation is:
y = (-4/7)*x + 4
And the standard form is:
y + (4/7)*x = 4
7y + 4x = 28
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A triangle has sides with lengths of 60 miles, 75 miles, and 45 miles. Is it a right triangle?
Answer:
I don't think it is
Step-by-step explanation:
tell me if I'm wrong
Answer:
yes it is a right triangle
Step-by-step explanation:
tell me if im wrong
Please help, I’m really bad at this
Answer:
true
Step-by-step explanation:
becuse if you put too penicils on the sides or top and bootem the points will never touch
In right triangle XYZ, angle y and angle z are complementary angles. If sin (y) = 0.423, cos (y) = 0.906, and tan (y) = 0.466, then cos (x)=
Find the simple interest earned
after 8 years in an account with a
principal of $5,000 and an annual
interest rate of 3%.
Answer:
SI = $1,200 ; A = $6,200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 5000 × 0.03 × 8 = 1200
I = $ 1,200.00
The simple interest accumulated
on a principal of $ 5,000.00
at a rate of 3% per year
for 8 years is $ 1,200.00.