Answer:
277
Step-by-step explanation:
PEMDAS
E: 3^3 (3x3x3) = 27
M: 27x10 = 270
A: 270+7 = 277
Exponential functions
The average rate of change between 2006 and 2010 is 172.
What is average rate?Average rate is a statistical measure used to compare a set of values or quantities. It is calculated by taking the sum of the values, then dividing by the number of values in the set. Average rate is most often used to measure the average performance of a group, individual, or business over a certain period of time.
The average rate of change between 2006 and 2010 is calculated by taking the difference in the values of the function for the two given years and then dividing it by the difference in the two years.
In this case, the difference in the values of the function for 2006 and 2010 is 1725 - 1037 = 688. The difference in the two years is 2010 - 2006 = 4.
Thus, the average rate of change is 688/4 = 172.
Therefore, the average rate of change between 2006 and 2010 is 172.
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we assume that with a linear relationship between two variables, for any fixed value of x, the observed ________ follows a normal distribution.
We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.
This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.
In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.
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The (simplified) probability of losing this bet is 10/19.
If a player bets $21, find the player's expectation.
The player's expectation is approximately -$11.05.To find the player's expectation, we need to calculate the expected value or expected return.
The expected value is calculated by multiplying the possible outcomes by their respective probabilities and summing them up.
Let's assume that if the player loses the bet, they lose the entire $21.
The probability of losing the bet is given as 10/19, which means there is a 10/19 chance of losing the $21.
The outcome of losing is -21, as the player loses $21.
To calculate the player's expectation, we multiply the outcome by its probability:
Expected Value = (Probability of losing) * (Outcome of losing)
Expected Value = (10/19) * (-21)
Expected Value = -11.05
Therefore, the player's expectation is approximately -$11.05. This means that on average, the player can expect to lose around $11.05 per bet.
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lost luggage a department of transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. can you consider the fate of these bags to be bernoulli trials? explain.
The fate of the 22 checked bags can be considered the Bernoulli trials.
A Bernoulli trial is a random experiment with two possible outcomes, often referred to as a "success" or "failure." In the context of the lost luggage problem, success would be a checked bag that is not misplaced, and failure would be a checked bag that is misplaced.
For a set of trials to be considered Bernoulli trials, the following conditions must be met:
The trials must be independent, meaning that the outcome of one trial does not affect the outcome of another trial.The probability of success (a bag not being misplaced) must be constant across all trials.The trials must have only two possible outcomes: success or failure.In this case, the fate of the 22 checked bags can be considered Bernoulli trials if the following conditions are met:
The bags are checked in separately, so the outcome of one bag does not affect the outcome of another bag, therefore they are independent trials.The probability of a bag being misplaced is given as 5 bags per 1000 passengers, which is constant across all passengers, including the group of 22 passengers.The trials have two possible outcomes: a bag is misplaced or a bag is not misplaced.Therefore, the fate of the 22 checked bags can be considered Bernoulli trials.
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If the luminosity of a lightbulb is 100 W and the brightness is measured to be 0.01 what is the distance to the lightbulb?
The steps used to solve the equation 4x + 3 = 15 for x are shown below.
4+3=15
Step I:
Step II:4=12=3
Which property makes step I true?
Answer:
there's nothing in step 1
it's not clear enough
solve the equation
-3|3x+6|+2=9
Answer:
x= -0.36
firstly you need to open the brackets
-3(3x +6) + 2=9
-9x -18 + 2=9
secondly join the like terms together
-9x = 9 + 18 - 2
-9x = 25
thirdly you divide both sides by 25
-9x ÷ 25 = -0.36
x= -0.36
Help immediately!!!!! Question: select all the intervals where g is increasing.
Answer:
It is said that g is increasing when the slope is positive.
We see a positive increase or a positive concavity at -inf to -3Thats not an answer choice so the answer is None of the aboveTheorem 7.1.2 (Calculations with the Fourier transform)
Given f € L¹(R), the following hold:
(i) If f is an even function, then
f(y) = 2 [infinity]J0 f(x) cos(2πxy)dx.
(ii) If f is an odd function, then
f(y) = -2i [infinity]J0 f(x) sin(2πxy)dx.
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The Fourier transform pair for a function f(x) is defined as follows:
F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk
Now let's prove the given properties:
(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.
To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is even, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx
Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx
Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx
Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:
f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy
Substituting F(y) with the expression derived above:
f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy
Interchanging the order of integration and evaluating the integral with respect to y, we get:
f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx
Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:
f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx
f(y) = 2 ∫[0,∞] f(x) δ(x) dx
f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)
Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The proof for this property follows a similar approach as the one for even functions.
Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is odd, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx
Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx
Now, following the same steps as in the proof for even functions, we can show that
f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx
This completes the proof of property (ii).
In summary:
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
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Choose all the number sentences that have a sum greater than 495,000:
A) 125,678 + 98,567
B) 250,000 + 250,001
C) 382,761 + 108,912
D) 76,850 + 422,074
E) 345,632 + 149,456
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?.
The shortest length of fence that the rancher can use is 6000 ft.
What is meant by length?
The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.
Main Body:
x = width of rectangle
y = length of rectangle
A = area of rectangle = xy = 1500000 ft^2
L = length of fencing needed = 2(x + y) + x = 3x + 2y
L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)
As x –> 0+, L –> +inf.
As x –> +inf, L –> (3x)+.
Sketch and see that there will be a minimum in Quadrant I.
dL/dx = 3 - 3(10^6)x^(-2)
Extrema occur when dL/dx = 0:
3 - 3(10^6)x^(-2) = 0
(10^6)x^(-2) = 1
x^2 = 10^6
x > 0, so x = 1000 feet for shortest length.
Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.
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let a, b, c > 0 be given numbers. compute the volume of the region bounded by the surface x^2/a^2 +y^2/b^2 +z^4/c^4 =1
The integral can be expressed as V = 8∫∫∫ c(1 - r^2/a^2 - r^2/b^2)^0.25 r^2sinϕ drdθdϕ where the limits of integration are 0 ≤ r ≤ (a^2b^2/(a^2sin^2θ + b^2cos^2θ))^0.5, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ π/2.
The given equation represents an ellipsoid with semi-axes of length a, b, and c along the x, y, and z-axes, respectively. The volume of this ellipsoid is given by the formula:
V = (4/3)πabc
Therefore, to compute the volume of the region bounded by the given surface, we need to find the values of a, b, and c that satisfy the equation.
First, we can rewrite the equation as:
z^4 = c^4(1 - x^2/a^2 - y^2/b^2)
Taking the fourth root of both sides, we get:
z = ±c(1 - x^2/a^2 - y^2/b^2)^0.25
The volume of the region bounded by the surface is then given by the triple integral:
V = ∫∫∫ (2c(1 - x^2/a^2 - y^2/b^2)^0.25) dxdydz
where the limits of integration are determined by the bounds of the ellipsoid. Since the ellipsoid is symmetric with respect to the x, y, and z-axes, we can evaluate the integral over one octant and multiply the result by 8 to obtain the total volume.
Using a change of variables to polar coordinates (x = arcosθsinϕ, y = brsinθsinϕ, z = ccosϕ), the integral can be expressed as:
V = 8∫∫∫ c(1 - r^2/a^2 - r^2/b^2)^0.25 r^2sinϕ drdθdϕ
where the limits of integration are 0 ≤ r ≤ (a^2b^2/(a^2sin^2θ + b^2cos^2θ))^0.5, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ π/2.
This integral can be evaluated using numerical methods or specialized software.
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Question 1 of 10
What happens to the graph of a line when the slope is negative? Check all
that apply
A. ) As the absolute value of the negative slope gets bigger, the graph
of the line gets less steep.
B. )The line goes down from left to right.
C. )As the absolute value of the negative slope gets smaller, the
graph of the line gets less steep.
D. The line shifts up.
E. The line goes up from left to right.
Therefore ,because slope of the line has no bearing on its vertical location, options D and E are incorrect. The line will not move up or rise from left to right as a result of a negative slope.
Explain slope.The slope of a line defines its steepness. Gradient overflow is a condition that occurs in gradient-based equations. By dividing the average of run (horizontal difference) and rise (vertical disparity) between two locations, one can calculate the slope. The fixed path problem is modelled by the hill variable of an equation, denoted by the symbol y = mx + b.
Here,
The appropriate choices are:
A. The graph of the line becomes less steep as the negative slope's numerical value increases.
B. From left to right, the path descends.
C. The graph of the line becomes less steep as the negative slope's numerical value decreases.
A line is said to be declining from left to right when its slope is negative. The line will be steeper the higher the actual measure of both the negative slope. As a result, as stated in option A, the graph of the line becomes less steep as the absolute value of the negative slope increases.
Because a negative slope denotes a decreasing slope from left to right, Option B is also accurate.
Option C is also accurate because the line will be less steep the lower the absolute number of the negative slope.
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5x - 7y = 58
Y= -x + 2
(that’s an negative x)
two capacitor, c1 = 6.00 uf and c2 = 11.0 uf, are connected in parallel, and resulting combination is connected to a 9v battery .
(a) What is the equivalent capacitance of the combination?
µF
(b) What is the potential difference across each capacitor?
C1 = V
C2 = V
(c) What is the charge stored on each capacitor?
C1 = µC
C2 = µC
(a) The equivalent capacitance of the combination is 17.0 µF.
(b) The potential difference across each capacitor is: C1 = 9V, C2 = 9V.
(c) The charge stored on each capacitor is: C1 = 54.0 µC, C2 = 99.0 µC.
(a) To find the equivalent capacitance \((C_eq)\) of capacitors connected in parallel, you can use the following formula:
\(C_eq = C1 + C2\)
\(C_eq = 6.00 \mu F + 11.0 \mu F\)
\(C_eq = 17.0 \mu F\)
(b) In a parallel connection, the potential difference (V) across each capacitor is equal to the voltage of the battey.
So,
\(V_C1 = V_{battery} = 9V\)
\(V_{C2} = V_{battery} = 9V\)
(c) To find the charge (Q) stored on each capacitor, you can use the following formula:
Q = C × V
For C1:
\(Q_{C1 } = C1 \times V_{C1 }\)
\(Q_C1 = 6.00 \mu F \times 9V\)
Q_C1 = 54.0 µC
For C2:
\(Q_{C2} = C2 \times V_{C2 }\)
\(Q_C2 = 11.0 \mu F \times 9V\)
\(Q_{C2} = 99.0 \mu C.\)
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(a) The equivalent capacitance of the combination is 17.0µF
(b) The potential difference across each capacitor is 9V.
(c) The charges stored on each capacitor are 54.0 µC and 99.0 µC
(a) What is the equivalent capacitance of the combination?Given that
c₁ = 6.00 µF
c₂ = 11.0 µF
Battery = 9v
We have the equivalent capacitance of the combination to be
Equivalence = c₁ + c₂
So, we have
Equivalence = 6.00 µF + 11.0 µF
Evaluate
Equivalence = 17.0 µF
(b) What is the potential difference across each capacitor?This is calculated as
Potential difference = battery
So, we have
Potential difference = 9v
(c) What is the charge stored on each capacitor?This is calculated as
Q = C * V
So, we have
Q₁ = C₁ * V Q₂ = C₂ * V
= 6.00 * 9 = 11.0 * 9
= 54.0 = 99.0
Hence, the charges stored on each capacitor are 54.0 µC and 99.0 µC
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Please HeLp ME IM nOt SMarT !!!!!!
Answer: 420
Step-by-step explanation:
Answer:143.30
Step-by-step explanation:
Dentro de cinco años mi abuelo tendrá el cuádruple de mi edad. Hace cinco años tenia siete veces mi edad¿que edad tenemos el y yo?
Answer:
La edad del abuelo es 75 años y la tuya es de 15 años.
Step-by-step explanation:
Si dentro de 5 años tu abuelo (A) tendrá el cuádruple de tu edad (E), tenemos:
\( A + 5 = 4(E + 5) \) (1)
Ahora, si hace cinco años tenia siete veces tu edad:
\( A - 5 = 7(E - 5) \) (2)
Multiplicando la ecuacion (1) por -1, tenemos:
\( -A - 5 = -4(E + 5) \) (3)
Ahora sumando la ecuación (3) con (2):
\( -10 = 3E - 55 \)
\( E = 15 \)
Entonces, reemplazando el valor de E en la ecuación (1):
\( A + 5 = 4(15 + 5) \)
\( A = 75 \)
Por lo tanto, la edad del abuelo es 75 años y la tuya es de 15 años.
Espero que te sea de utilidad!
Find x. Round your answer to the nearest integer.
A. 20
B. 15
C. 12
D. 19
From SOHCAHTOA.
Cos37 = x/25
x= 25cos37
x=21.5 = 22.
When rounded to the nearest integer... 20
Option A is legit
Answer:
The correct answer is B. 15
Step-by-step explanation:
Ap3x Approved
5 is more than a number is greater than or equal to 27
5 more than a number is greater or equal to 27
The "number" can be represented as x.
\(\boxed{x+5\geq 27}\)
what geometric shape forms the hole that fits an allen wrench
Answer:
A hexagon
Step-by-step explanation:
A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.
The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.
The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.
The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.
The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.
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In radishes, red and white are the pure-breeding colors and long and round are the pure-breeding shapes, while the hybrids are purple and oval. The cross of a red oval with a purple oval will produce what proportion of each of the 9 possible phenotypes
The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.
Based on the information given, we can represent the pure-breeding colors and shapes as follows:
Red color (RR) is dominant over white color (rr)
Long shape (LL) is dominant over round shape (ll)
We can also represent the hybrids as:
Purple color (Rr) is a result of a cross between red and white pure-breeding colors
Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes
Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:
RL Rl rL rl
RL RRLl RRll rRLL rRlL
Rl RRLl RRll rRLL rRlL
rL RrLL RrLl rrLL rrLl
rl RrLl Rrll rrLl rrll
From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:
Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance
Red oval (RRll, Rrll): 2/9 or about 22.2% chance
Purple long (rRLL, rRlL): 2/9 or about 22.2% chance
Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance
Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.
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I need some help. can someone help please.
A.
when you graph it that's the correct one.
Mark and Heather are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted 3500 for the reception. If the reception hall charges a $100 cleanup fee plus $39 per person, find the greatest number of people that they can invite and still stay within their budget.
Answer:
87 people
Step-by-step explanation:
3500-100(cleanup)
3400÷39=87
does someone mind helping me with this? Thank you!
Answer:
$50000
Step-by-step explanation:
If the tax is directly proportional to the purchase price, then the relationship can be modeled as T=kp, where T is the tax paid, p is the purchase price, and k is a constant.
If T=$1750 and p=$25000, then to find the constant k:
\(k=\frac{T}{p}\\k=\frac{$1750}{$25000}\\k=0.07\)
k can then be used to calculate the purchase price of a vehicle that produces $3500 in tax:
\(p=\frac{T}{k}\\p=\frac{3500}{0.07}\\p=50000\)
The new purchase price of $50000 is a logical answer because the new tax is twice as much as the tax paid on the $25000 purchase.
Answer: x = 50,000
Step-by-step explanation:
What you know so far, the price of the first car is 25,000 with a sales tax of 1,750. We also know that for the second car, the sales tax is 3500. What we are trying to figure out is the price of the car.
The first thing to do is to set up a proportion, which would mean 1750 over 25000 equals 3500 over x, x is the price of the second car that we don't know yet.
1750/25,000= 3500/x
x=price of the second car
Now you cross multiply 1750, times x, which is 3500. If you do the multiplication on the right side you get 87,500,000. The next thing we need to do is isolate x, which is the price of the second car. To isolate it, divide both sides by 1750, On the left side, 1750 over 1750, which equals one, is left. So we have 1x now. When we divide the right side we get 87,500,000/1750, which is $50,000. So x=50,000
For the period 1971-2001, the number of y films produced in the world can be modeled by the function y=10x2−94x+3900 where x is the number of years since 1971. After how many years were 4200 films produced? Round your answer to the nearest tenth of a year.
11.9 years
8.7 years
10.6 years
2.5 years
Answer:
11.9
Step-by-step explanation:
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
C=45h+30
C=45(6.5)+30
Im using a decimal because it should be clear 1/2=0.5
C= 292.5+30
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
C=$322.50
Ms. Nettleton wants to create an outdoor space for her dogs. The distance between the furthest corners is 4 feet. The width of the area is 2 feet. How long is the length of the area?
(please help)
The length of the area is 8 feet.
What is the shape of outdoor space?
We know that Square has equal length, Rectangle has opposites sides of equal length.By the given length we found that it is Rectangular outdoor space.Step-by-step explanation:
Given :
Distance between the furthest corners(Length)= 4 feet
Width(breadth) = 2 feet
Area of rectangle = Length * Breadth
= 4 * 2
=8 feet
Hence, The length of the area is 8 feet.
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Notice the number of edge tiles (column 3) is equal to two less than the number of tiles on one side (column 1) multiplied by four. Knowing this relationship, if we built a 10 by 10 square mirror, write a numerical expression that would help us calculate the number of edge tiles we would need.
A numerical equation using addition as the only operator, for instance, is 2 + 17.
What is meant by numerical expression?An expression that uses only numbers and one or more operation symbols is referred to as a numerical expression. Operations like addition, subtraction, multiplication, and division are represented by symbols. Additionally, the square root sign or the absolute value symbol can be used to represent it. A numerical equation using addition as the only operator, for instance, is 2 + 17. An equation with three operators, 11 + 43 x (-4), starts with addition and moves through multiplication and subtraction. Operations are applied to numbers in numerical expressions. Numerical expressions include things like 2(3 + 8). At least one variable and one operation are included in algebraic expressions (addition, subtraction, multiplication, division). An algebraic expression is, for instance, 2(x + 8y).To learn more about numerical expression, refer to:
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For each pair of images, describe which of these transformations are translation, reflection, or rotation.
Answer:
A is translation because it's being moved to the right to get a'b'
b is reflection because you would reflect over the x-axis \
C is rotation
Picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The lines are shown in the picture.
As we know from the definition of the geometric transformation, geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
From the picture,
Picture A, which is being moved to the right to obtain A'B', serves as a representation of the translation.
Because you would reflect over the x-axis, Picture A represents reflection.
Image A illustrates rotation.
Thus, picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.
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Find the perimeter.Simplify your answer.
Answer:
20c+14
Step-by-step explanation:
To find the perimeter we have to add up all the sides
4c+6c+7+4c+6c+7
Combine light terms
20c+14
Answer:
Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,
6c+7+6c+7+4c+4c= 20c+14
20c+14 is the perimeter