Answer:
Area of the shape is 47x unitsFind the area as followsSplit the shape by extending the side with 9 units long until the side with 5x units.
We get two figures:
Rectangle of 3x and 5xand
Right triangle with dimensionsBase: 14 - 9 = 5 units
Height: 5x - 3x = 2x
Area of figuresRectangle
A = lw = 3x*14 = 42xTriangle
A = bh / 2 = 2x*5 / 2 = 5xTotal area is:A = 42x + 5x = 47xMike is 175 cm tall and george is 170 cm tall. using the model, how many centimeters longer would we
expect mike's arm span to be than george's?
(round your answer to the nearest thousandths - 3 decimals.)
Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.
Analyze the equation.An equation is referred to as linear when all of the highest powers of the variables are equal to one. They are connected via links. A one-degree equation is another term for this kind of issue. You will learn how to solve a linear equation expression in one or two variables by following the steps in the paragraphs that follow.
Here,
we must use the equation to determine how many millimeters more Mike should have than George.
y= 4.5x + 0.977 x
where y=arm length
where x = height
Given:
Mike is 175 cm tall, so x=x.
Mike's arm span is therefore y=4.5 x + 0.977 x.
= 4.5* (175) + 0.977* (175) (175)
= 787.5 + 170.975
= 958.475 cm
George is 170 cm tall, so x=x.
George's arm span is therefore y=4.5 x + 0.977 x.
= 4.5* (170) + 0.977* (170) (170)
= 765 + 166.09
= 931.09 cm
Mike's arm span is greater than George's arm span because Mike has a larger arm span.
= 958.475 - 931.09
= 27.385 cm.
Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.
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Natural Gas costs about $5 per 1000 cubic feet
I have only 196.512 cubic feet. What is the total cost?
Answer:
0.98256
Step-by-step explanation:
196.512 /1000
x5
Find the distance between the points (5, - 4) and (5, 7)
Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
Solve each inequality. Graph the solution on a number line.
x + 7 ≤ 11.
Answer:
x ≤ 4, look for the bold title for the numberline
Step-by-step explanation:
Subtract 7 to both sides
x + 7 ≤ 11
-7 -7
x ≤ 4
That is the answer.
Can you provide a number line?
Can you guys help me? It's due
Answer: 16
Step-by-step explanation:
PLEASE HELP ME ??!!!!!
Answer:
um i am pretty sure it is c
Step-by-step explanation:
steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. working together, how long, to the nearest minute, would it take them?
Working together will take them 2 hours and 46 minutes which is 166 minutes.
What do we mean by equation?A mathematical statement made up of two phrases joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.So,
Consider these work rates in terms of "greenhouses per hour," rather than "hours per greenhouse." Steve's work rate is one-fourth of a greenhouse per hour, while his son is one-ninth of a greenhouse per hour. Now, multiply each rate by the time t to obtain the percentage of the greenhouse that each paints, and add the products to obtain one greenhouse.The work equation is now:
\(\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min\)
Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.
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Students in the high school choir sing one of four voice parts. tenors 2 sopranos 9 altos 20 basses 14 What is the probability that a randomly selected singer will be a soprano? Write your answer as a fraction or whole number.
Okay, here are the steps to solve this problem:
* There are 10 tenors, 9 sopranos, 20 altos, and 14 basses in the choir
* In total there are 10 + 9 + 20 + 14 = 53 singers
* There are 9 sopranos out of the 53 total singers
* To find the probability of a randomly selected singer being a soprano:
* Probability = (Number of desired outcomes) / (Total possible outcomes)
* So Probability = 9/53
Therefore, the probability that a randomly selected singer will be a soprano is 9/53
determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)
Answer:the pairs are not a quadratic eqation
Step-by-step explanation:
The differences between the differences of the y value are not consistent
The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
The set of ordered pairs
(5,7),(7,11),(9,14),(11,18)
We have to determine whether the (5,7),(7,11),(9,14),(11,18) is quadratic function or not.
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
The difference between the y values is not same
11-7=4
14-11=3
18-14=4
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
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Please help me on this!
The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?
Answer:
29/24π
Step-by-step explanation:
To get coterminal angles, you simply have to add or subtract 2π
In this problem, we are looking for a coterminal angle that is between
0 and 2π, so we will add 2π to −19/24π.
−19/24π+2π
=
−19/24π+48/24π
=
29/24π
29/24π
is the answer to the question.
\(\frac{11\pi }{4}\) is the coterminal between of \(\frac{19\pi }{4}\) between (0, 2\(\pi\)).
What is coterminal angle?
Coterminal angles are the angles that have the same initial side and share the terminal sides.
How to find the coterminal angles?To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.
According to the given question.
We have
Angle = \(\frac{19\pi }{4}\)
Since, the coterminal angle is to be between 0 and 2π.
Therefore, we subtract 2π from \(\frac{19\pi }{4}\)to get coterminal angle.
⇒ \(\frac{19\pi }{4} -2\pi\) \(= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}\)
Hence, \(\frac{11\pi }{4}\) is the coterminal between of \(\frac{19\pi }{4}\) between (0, 2\(\pi\)).
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PLEASE HELP
Draw the graph of the equation x+5y=6
The graph of the function x + 5y = 6 is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
x+5y=6
Express the equation properly
So, we have
x + 5y = 6
The above expression is a an equation of a linear function
Make y the subject
So, we have
y = -x/5 + 6/5
So, we have
slope = -1/5y-intercept = 6/5Next, we plot the graph using a graphing tool
To plot the graph, we enter the equation in a graphing tool and attach the display
See attachment for the graph of the function
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What Percent Of X Is Y?
To find the percent that Y represents of X, you need to divide Y by X to get a ratio, and then multiply the ratio by 100 to convert it to a percentage. This is expressed by the formula (Y/X) x 100.
To calculate what percentage Y is of X, you can use the following formula:
(Y / X) x 100
For example, if you want to know what percentage 25 is of 100, you would divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. So 25 is 25% of 100.
Another example, if you want to know what percentage 8 is of 40, you would divide 8 by 40 to get 0.2, and then multiply by 100 to get 20%. So 8 is 20% of 40.
The phrase "what percent of X is Y?"is equivalent to "What percentage of X is Y?" We must first calculate the ratio of Y to X before expressing that ratio as a percentage in order to respond to this question.
To do this, we divide Y by X to get a decimal or fraction that represents the ratio of Y to X. We then multiply that decimal or fraction by 100 to convert it to a percentage.
Here's an example to illustrate this:
Suppose we want to know what percentage 8 is of 40. We can use the formula:
(Y / X) x 100
Plugging in Y = 8 and X = 40, we get:
\((8 / 40) * 100 = 0.2 * 100 = 20\%\)
So 8 is 20% of 40.
Similarly, if we want to know what percentage 25 is of 100, we can use the formula:
(Y / X) x 100
Plugging in Y = 25 and X = 100, we get:
\((25 / 100) * 100 = 0.25 * 100 = 25\%\)
So 25 is 25% of 100.
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HELP ME PLEASE !!!!!!!!
Answer:
add words please
Step-by-step explanation:
i cant understand that ppic
Which equation represents a line of best fit for the set of ordered pairs?
{(1, 16), (2, 20), (3, 24), (4, 30), (5, 36)}
A. y = 5x + 10
B. y = 10x + 5
C. y = -5x + 10
D. y = -10x +5
Answer:
Here’s the answer! Best of luck.
Step-by-step explanation:
Click on the photo and please help!!! This is algebra
Answer:
The answer is C. y = -4 - 1
Given the function what are the following values?
Answer:
25
36
0
100
Step-by-step explanation:
square the number in the parenthesis
You are working in a lab and you need a solution of 22% acid. In the cupboard, you find a 10% and a 30% solution, but not a 22% solution. You will have to make your own 22% solution. You will need liters of the 10% and liters of the 30% to make 15 liters of a 22% solution?
The volume of 10% solution will be 6 l and 9 litre of the 30 % solution will be taken.
What is Volume ?Volume is the space occupied by a three dimensional object .
The concentration of solution required is 22% acid
The concentration of solution available is 10% and 30%
The total volume required is 15 liters
The formula for making a mixture is
Concentration = ( m₁x₁ +m₂x₂) / (x₁+x₂)
22 = (10 * x + 30 *(15 -x))/( 15)
10 x + 450 - 30x =330
-20x = -120
x = 6
The volume of 10% solution will be 6 l
and 9 litre of the 30 % solution will be taken.
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weights of golden retriever dogs are normally distributed. samples of weights of golden retriever​ dogs, each of size n​15, are randomly collected and the sample means are found. is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too​ small? explain.
No, it is not correct to conclude that the sample means cannot be treated as being from a normal distribution solely based on a small sample size of n = 15.
The Central Limit Theorem states that the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution, as the sample size increases. Therefore, even with a small sample size, the sample means can still be considered to follow a normal distribution under certain conditions.
The Central Limit Theorem assures that, as the sample size increases, the distribution of sample means becomes approximately normal, regardless of the shape of the population distribution. Although a sample size of n = 15 may be considered small, it is not sufficient to conclude that the sample means cannot be treated as following a normal distribution.
The applicability of the Central Limit Theorem depends on certain conditions, such as the independence of observations, a sufficiently large sample size, and the absence of extreme outliers. If these conditions are satisfied, the sample means can be treated as approximately normally distributed, even with a small sample size.
Therefore, it is not appropriate to conclude that the sample means cannot be treated as being from a normal distribution based solely on a small sample size of n = 15. Further analysis and consideration of the Central Limit Theorem should be conducted to determine the distributional properties of the sample means.
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Consider the function on the graph PLEASE HELP ME!!!!!!!!!!
Answer:-10 to positive 10
Step-by-step explanation:
i do not know if im right but i tried.. sorry
The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph? The change in the y-values is 40 and the change in the x-values is 1. The change in the y-values is 1 and the change in the x-values is 40. The change in the y-values is 150 and the change in the x-values is 2. The change in the y-values is 190 and the change in the x-values is 3.
Answer:
I
Step-by-step explanation:
graph is not provided
im not sure how to answer these question so it would be great if anyone could help
1) 2/3 * 3/5 is twice as much as 1/3 * 3/5 because the numerator of 2/3 is twice that of 1/3, resulting in twice the product of the fractions.
2) To multiply 2/3 * 3/8, you can multiply the numerators and the denominators separately. To multiply 2/3 * 5/8, you may need to simplify one of the fractions before multiplying.
3) Dividing 4/3 by 2/5 gives the number of times 2/5 goes into 1 hour, which gives the number of scarves Sam can make in 1 hour.
4)
a) One fraction must be slightly greater than 1 and the other must be slightly less than 1, such as 4/3 and 3/4, or 5/4 and 4/5.
b) The two fractions could be very close to each other, such as 4/5 and 5/6 or 2/3 and 3/4, where the quotient is just slightly less than 1.
5) Knowing how to multiply fractions can help you figure out 3/5 ÷ 4/3 by multiplying the first fraction by the reciprocal of the second fraction, which is 3/4.
6) A problem that involves the division of fractions requires finding the reciprocal of the second fraction and then multiplying the two fractions, whereas multiplication and subtraction involve simpler operations with fractions.
In a fraction, the numerator represents the number of equal parts being considered, while the denominator represents the total number of those parts that make up the whole.
1) 2/3 * 3/5 is twice as much as 1/3 * 3/5 because the numerator of 2/3 is twice that of 1/3, resulting in twice the product of the fractions.
2)
To multiply 2/3 * 3/8, you can multiply the numerators and denominators separately:
(2/3) * (3/8)
= (2 * 3) / (3 * 8)
= 6/24
To multiply 2/3 * 5/8, you may need to simplify one of the fractions before multiplying:
(2/3) * (5/8)
= (2 * 5) / (3 * 8)
= 10/24
= 5/12
3)
Dividing 4/3 by 2/5 gives the number of times 2/5 goes into 1 hour, which gives the number of scarves Sam can make in 1 hour:
(4/3) ÷ (2/5)
= (4/3) * (5/2)
= 10/3 = 3 1/3 scarves in one hour
4a) One fraction must be slightly greater than 1 and the other must be slightly less than 1, such as 4/3 and 3/4, or 5/4 and 4/5:
(4/3) * (3/4) = 1.00... (approximately equal to 1)
4b) The two fractions could be very close to each other, such as 4/5 and 5/6 or 2/3 and 3/4, where the quotient is just slightly less than 1:
(4/5) ÷ (5/6)
= (4/5) * (6/5)
= 24/25
5) Knowing how to multiply fractions can help you figure out 3/5 ÷ 4/3 by multiplying the first fraction by the reciprocal of the second fraction, which is 3/4:
(3/5) ÷ (4/3)
= (3/5) * (3/4)
= 9/20
6) A problem that involves the division of fractions requires finding the reciprocal of the second fraction and then multiplying the two fractions, whereas multiplication and subtraction involve simpler operations with fractions. For example:
Multiplication: (2/3) * (4/5) = 8/15
Subtraction: (4/5) - (2/3)
= (12/15) - (10/15)
= 2/15
Division: (2/3) ÷ (4/5)
= (2/3) * (5/4)
= 10/12
= 5/6
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carly got a model train set for her birthday, and it came with 200 assorted pieces of train track. she randomly picks some pieces of track out of the box. so far, she has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks. based on the data, what is the probability that the next piece of track carly picks will be straight?
The probability that the next piece of track Carly picks will be straight is 8/24 or 1/3
From the given information, Carly has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks.
The total number of pieces of the track she has picked is 8 + 7 + 4 + 5 = 24
The probability that the next piece of track Carly picks will be straight is calculated as follows:
Probability = Number of straight tracks/Total number of tracks= 8/24= 1/3T
Therefore, the probability that the next piece of track Carly picks will be straight is 1/3.
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Answer: 1/3
Step-by-step explanation: i did this question and got it right
Simplify the following expression using Boolean algebra and its identities. List the identity used at each step. x(yz
′
+x)(y
′
+z)
The expansion of Boolean algebra is x^2y + xzy' + xz^2
To simplify the expression using Boolean algebra and its identities, let's break it down step by step:
1. Distributive Property (x(yz' + x)(y' + z)): Distribute the x to both terms inside the first parentheses. xy' + x^2yz' + xy'z + xz
2. Distributive Property (xy' + x^2yz' + xy'z + xz)(y' + z): Distribute the second parentheses to all the terms inside. xy'y + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2
3. Complement Law (xy'y = 0): Since y and y' are complements, their product is always 0. 0 + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2
4. Simplification (x^2yz'y = x^2y): Combine like terms, as z'y + zy' = 1 (by the Complement Law). x^2y + xy'zy' + xzy' + xy'z + xz^2
5. Simplification (xy'zy' = 0): Since y and y' are complements, their product is always 0. x^2y + xzy' + xy'z + xz^2
6. Simplification (xy'z = 0): Since z and z' are complements, their product is always 0. x^2y + xzy' + xz^2
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Show that the process X(t):=e t/2
cos(W(t)),0≤t≤T, is a martingale w.r.t. any filtration for Brownian motion and represent it as an Itô process on any time interval [0,T],T>0.
A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).
Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.
As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt
Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.
For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:
E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.
Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:
dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt
where M is a martingale with M(0) = 0.
Thus, X(t) can be represented as an Itô process on [0,T] of the form:
X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds
Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.
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My hair grows 6 inches per year, continuous or discrete?
Answer:
bruh
Step-by-step explanation:
A house call fee costs $95.
The plumber chargers $125 per hour.
Which one is the slope and which one is the y intercept
Answer:
$95 is the slope
$125 is the y-intercept
Answer:
slope os the 125 per hour and the y intercept is the 95
Step-by-step explanation:
The slope is 125 it will increase by every hour and the y intercept is 95 because it is the starting fee, it will not increase.
pls help i wiill give points
Answer:
The answer u selected is correct
Step-by-step explanation:
Sorry for the delay
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.