Answer:
3/2
Step-by-step explanation:
Rise: 3
Run: 2
Choose the appropriate transformation for the figure
Picture above ***
A homeowner in New jersey needs to build a square garden for her tomato plants this spring. She figures she needs an area of 49 square feet. What are the dimensions of her garden?
She needs an area of 49 square feet.
The garden has a square form, so we find the side length with the following formula.
\(\begin{gathered} s=\sqrt[]{A} \\ s=\sqrt[]{49ft^2} \\ s=7ft \end{gathered}\)The side length is 7 feet.
Therefore, the dimensions are 7 feet by 7 feet.consider these functions: f(x)= 1/3x^2 +4g(x)=9x-12 what is the value of g(f(x))
Answer
Explanation
Given:
\(\begin{gathered} f(x)=\frac{1}{3}x^2+4 \\ g(x)=9x-12 \end{gathered}\)To determine the value of g(f(x)), we substitute x with 1/3x^2+4 for g=9x-12:
\(\begin{gathered} g(x)=9x-12 \\ g(\frac{1}{3}x^2+4)=9(\frac{1}{3}x^2+4)-12 \\ Simplify \\ =3x^2+36-12 \\ =3x^2+24 \end{gathered}\)Therefore, the value of g(f(x)) is C:
\(\begin{equation*} 3x^2+24 \end{equation*}\)Find the midpoint AB if A(-3, 8) and B(-7,-6)
Answer:
( - 5, 1 )
Step-by-step explanation:
( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )
( \(\frac{-3-7}{2}\) , \(\frac{8-6}{2}\) ) = ( - 5, 1 )
how many ways can you rearrange the word steal?
I think it's 67 different ways ! ^^
Answer:
67 words can be made from the letters in the word steal.
Step-by-step explanation:
connie has a number of gold bars, all of different weights. she gives the 2424 lightest bars, which weigh 45\e% of the total weight, to brennan. she gives the 1313 heaviest bars, which weigh 26\&% of the total weight, to maya. she gives the rest of the bars to blair. how many bars did blair receive?
Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.
What is average weight?The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.
Here,
The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).
Let X represent the combined weight of all the bars.
The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.
Maya was given bars that weighed 26% of X, or 0.26X.
The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.
Brennan received bars with an average weight of 0.45 x/ 24.
The weight of the Maya-received bars, on average, is 0.26X/13.
Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.
Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.
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Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?
Answer:
$0.05
Step-by-step explanation: first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers
Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces
Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
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Identify and explain the processes that are used to show that a function is either a state or path function. Provide an example of each case - state or path - for each process you identify.
The processes used to determine if a function is a state or path function include integration/differentiation and examining the differential form of the function. Integrating a function with respect to a variable yields a state function, while differentiating a function with respect to a variable yields a path function.
If the differential form of a function involves only state variables, it is a state function. If it involves both state and path variables, it is a path function.
To determine whether a function is a state or path function, we can examine the properties of the function and the variables involved. A state function depends only on the current state of the system and is independent of the path taken to reach that state. In contrast, a path function depends on the path taken to reach a particular state.
One common process used to determine the nature of a function is integration or differentiation. Integrating a function with respect to a variable yields a state function, whereas differentiating a function with respect to a variable yields a path function. For example, integrating the pressure (P) with respect to volume (V) yields a state function called the internal energy (U). On the other hand, differentiating the work (W) with respect to volume (V) yields a path function known as pressure (P).
Another process used is the examination of the differential form of the function. If the differential form of a function involves only state variables, then the function is a state function. For instance, the differential form of the enthalpy (H) involves only state variables (dH = dU + PdV), making it a state function. However, if the differential form involves both state and path variables, the function is a path function. An example is the differential form of heat (Q), which involves both state and path variables (dQ = dU + PdV), indicating that it is a path function.
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What is the area of the irregular polygon shown below ? A. 79 sq. Units B. 100 sq. Units C. 60 sq. Units D. 86 sq. Units
Answer:
72+14=86 sq.unit
Step-by-step explanation:
the area of rectangle = 18*4=72
area of the triangles : A=hb/2= (3.5*4)/2=7
you have 2 triangles 7*2=14
72+14=86 sq.unit
Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answer:
\(\displaystyle 93,5\:in.^2 \approx A\)
Step-by-step explanation:
\(\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}\)
I am joyous to assist you at any time.
. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.
Answer:
please forgive me I have no clue
Step-by-step explanation:
Suppose that the magnitudes of earthquakes in California follow an exponential distribution with a mean of 4 as measured on the Richter scale. What is the probability that an earthquake exceeds magnitude 5 on the Richter scales? What is the probability that the magnitude of the next earthquake is more than 2 standard deviations above its mean?
To answer this question, we need to use the properties of exponential distribution and the Richter scale.
First, let's note that the Richter scale is a logarithmic scale, meaning that each whole number increase represents a tenfold increase in the amplitude of the earthquake.
So an earthquake of magnitude 5 is ten times more powerful than an earthquake of magnitude 4, and 100 times more powerful than an earthquake of magnitude 3.
Given that the magnitudes of earthquakes in California follow an exponential distribution with a mean of 4 on the Richter scale, we can use the formula for exponential distribution:
f(x) = λe^(-λx)
where λ = 1/4, since the mean is 4.
To find the probability that an earthquake exceeds magnitude 5, we need to integrate the exponential distribution from 5 to infinity:
P(X > 5) = ∫[5,∞] λe^(-λx) dx
= e^(-λx) |_5^∞
= e^(-λ*5)
= e^(-5/4)
= 0.0821
So the probability that an earthquake exceeds magnitude 5 is approximately 0.0821, or 8.21%.
To find the probability that the magnitude of the next earthquake is more than 2 standard deviations above its mean, we need to use the formula for standard deviation of exponential distribution:
SD(X) = 1/λ
= 4
So 2 standard deviations above the mean is:
4 + 2*4 = 12
We want to find the probability that X > 12:
P(X > 12) = ∫[12,∞] λe^(-λx) dx
= e^(-λx) |_12^∞
= e^(-λ*12)
= e^(-3)
= 0.0498
So the probability that the magnitude of the next earthquake is more than 2 standard deviations above its mean is approximately 0.0498, or 4.98%.
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Find the slope of each line
Answer:
The slope of the blue line is undefined
Step-by-step explanation:
This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept
You’re taking a 33 question multiple choice test. Each question has 4 choices. Clueless on 1 question, you decide to guess. What’s the chance you’ll get it right?
A design engineer built a rotating isosceles triangular prism in the middle of a park for people to enjoy. If the rotating prism has the following dimensions as shown in the image below, what is the total surface area of the rotating prism?
Answer:
0.5 X 3 X 2 = 3
3 X 2 = 6 ft^2
4 X 3 = 12 ft^2
4 X 2.5 = 10 X 2 = 20 ft^2
6 + 12 + 20 = 38ft^2
In this exercise we have to use the knowledge of rotation and prism to calculate the total area of the prism that has undergone a rotation, so we find that this will correspond to:
\(A= 38\ ft^2\)
Knowing that the dimensions of the rotating prism are:
H: \(2 \ ft\)B: \(3 \ ft\)W: \(0.5 \ ft\)From the data we will use the formula that of the area, that is:
\(A= H*W*B\)
Replacing the values in the informed formula, we find that:
\(0.5 *3 * 2 = 3\\3 * 2 = 6 ft^2\\4 * 3 = 12 ft^2\\4 * 2.5 = 10 * 2 = 20 ft^2\\6 + 12 + 20 = 38ft^2\)
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7. Find the slope of a line that is parallel to the line containing the points (3, 4) and (2,6).
SOMEONE ANSWER FAST ITS THE LAST QUESTION
The slope of a line that is parallel to the line containing the points (3, 4) and (2, 6) is -2.
What is the slope of a line that is parallel to the line containing the points (3, 4) and (2,6)?To find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6), we first need to find the slope of the line containing these points. We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Where:
m = slope
(x1, y1) = coordinates of the first point (3, 4)
(x2, y2) = coordinates of the second point (2, 6)
Substituting the given values, we get:
m = (6 - 4) / (2 - 3)
m = -2
The slope of the line containing the points (3, 4) and (2, 6) is -2.
Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.
Therefore, the slope of the parallel line is -2.
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A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate31.4π units 10π units 31.4 units
A circle has a radius of 5 units, 3 students tried to calculate the circumference of the circle, put their answers in order from most accurate to least accurate
31.4π units
10π units
31.4 units
we know that
the circumference of a circle is equal to
\(C=2\pi r\)we have
pi=3.14
r=5 units
substitute
\(\begin{gathered} C=2\pi(5) \\ C=10\pi\text{ units} \end{gathered}\)the exact value is 10pi units
the approximate value (assume pi=3.14)
C=31.4 units
so
order from most accurate to least accurate is
10π units
31.4 units
31.4π units
order from least accurate to most accurate is31.4π units31.4 units10π unitsshane measured a farm and made a scale drawing. in real life, the goat pen is 6 meters wide. it is 4 centimeters wide in the drawing. what scale did shane use?
If the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
Scaling is a linear transformation that enlarges or diminishes objects.
Given,
In drawing,
6 meter = 4 centimeter
600 centimeter= 4 centimeter
Divide both side by 4
150 centimeter = 1 centimeter
Hence, if the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
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Construct a 3x3 matrix A, with nonzero entries, and a vector b in R3 such that b is not in the set spanned by the columns of A. Choose the correct answer below 11 13 1114 3 A. B. L333J 333] 111] L9 「1 1 2 33 3 4 56 3 3 21
none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A. C. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2!
First we need to create a 3x3 matrix A, with nonzero entries. We can do this by choosing any non-zero entries for each of the nine elements in the matrix. For example:
A = [11 13 1114 3
13 2 13 2
111] 33 3 4]
Next, we need to create a vector b in R3 that is not in the set spanned by the columns of A. To do this, we can choose any three values that are different from the values in A. For example:
b = [9 1 2]
Now we can check if b is not in the set spanned by the columns of A. To do this, we can calculate the dot product of b and each column of A. If the dot product of any of the columns is equal to b, then b is in the set spanned by the columns of A. Since none of the dot products are equal to b, we can conclude that b is not in the set spanned by the columns of A.
The complete question is : Construct a 3x3 matrix A, with nonzero entries, and a vector b in R3 such that b is not in the set spanned by the columns of A. Choose the correct answer below 11 13 1114 3 A. B. L333J 333] 111] L9 「1 1 2 33 3 4 56 3 3 21 C. D. 13 2 13 2 13 2 L1 1 2 1 1 2 111] 33 3 4 56 3 3 2!
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Simplify: 1/3(15y-6)
I NEED HELP PLZ!!!
Answer:
5y - 2
Step-by-step explanation:
1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2
Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!
Given the function f ( x ) = { 6 x + 1 x < 0 6 x + 2 x ≥ 0 Calculate the following values: f ( − 1 ) = f ( 0 ) = f ( 2 ) =
The values of functions f(-1), f(0), and f(2) are -5, 2, and 14 respectively.
What is function?Function is an expression that expresses relation between one variable to another variables.
The given function is,
f(x) = 6x+1, x<0 (1)
f(x) = 6x+2, x≥0 (2)
When x=-1 (x<0)
f(-1) = 6(-1)+1 = -5
When x=0,
f(0) = 6(0)+2 = 2
When x=2 (x≥0)
f(2) = 6(2)+2 = 14
The value of functions f(-1), f(0), and f(2) are -5, 2, and 14 respectively.
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Marketa bought 2.7 pounds of walnuts for $25.54. Approximately how many pounds of walnuts can Marketa purchase for 1$
Answer:
0.11 pounds (Good Luck!) :)
Step-by-step explanation:
Answer:
0.11pounds
Step-by-step explanation:
Given the numbers:
Quantity of walnuts bought = 2.7pounds
Cost = $25.54
Unknown:
Number of pounds of walnuts $1 can buy = ?
Solution:
To find the number of pounds of walnut Marketa can buy with $1;
$25.54 can buy 2.7pounds
$1 can buy = 0.11pounds
With $1, Marketa can buy 0.11pounds of walnut.
Evaluate Piecewise Functions, please help asap! Thank you!
Answer:
4, -1, 5, -2
Step-by-step explanation:
If these two shapes are similar, what is the measure of the missing length d? d 84 cm 10 cm 35 cm
The missing length in the triangle is 56 cm.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find the value of missing length
p/21 = 24/9
Apply cross multiplication
9p=21×24
9p=504
Divide both sides by 9
p=56
Hence, the missing length in the triangle is 56 cm.
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HELP PLEASE
Solve this equation by completing the square.
x² - 4x-10 = -2
Answer:x=2+2√3 OR x=2−2√3
Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.
Hope this helps
BRAINLIEST please?
(co 3) out of each 100 products, 93 are ready for purchase by customers. if you selected 27 products, what would be the expected (mean) number that would be ready for purchase by customers?
The expected (mean) number of products ready for purchase by customers in a selection of 27 products is approximately 25.
Out of each 100 products, 93 are ready for purchase by customers.
To find the expected number of products ready for purchase in a selection of 27, follow these steps:
1. Determine the probability of a product being ready for purchase: 93 (ready products) ÷ 100 (total products) = 0.93.
2. Multiply the probability by the number of selected products: 0.93 × 27 = 25.11.
The expected (mean) number of products ready for purchase by customers in a selection of 27 products is approximately 25.
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in order from least to greatest: 7/11, 0.7 and 60%.
First is to express all values the same way. For example, convert the fraction and percentage into decimal numbers:
60% → divide it by 100 and you get 0.6
7/11=0.63
Now you can order them
0.6<0.63<0.7
Using the original expressions you get that:
60%<7/11<0.7
Seyna can eat 1/4 of a pizza in 1/3 of an hour. At this rate, what fraction of a pizza could she eat in one hour?
If she can eat 1/4 of a pizza in 1/3 hours, multiply 1/3 by 3 to get 3/3 hours and do he same with 1/4, that gets you 3/4 of a pizza in 1 hour.
Seyna can eat 3/4 of a pizza in one hour.
Given that Seyna can eat 1/4 of a pizza in 1/3 of an hour.
We need to find that at this rate what fraction of a pizza could she eat in one hour.
To find out the fraction of a pizza Seyna can eat in one hour, we need to determine how many fractions of 1/4 pizzas she can consume in 1 hour.
We know that Seyna can eat 1/4 of a pizza in 1/3 of an hour. Let's calculate how many 1/4 pizzas she can consume in 1 hour by multiplying the given rate by 3:
(1/4) x (3/1) = 3/4
Therefore, Seyna can eat 3/4 of a pizza in one hour.
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Can you please help me with this?
The expression that gives us the perimeter of the quadrilateral is:
4x² - 10x + 1
What is the perimeter of the quadrilateral?The perimeter of a quadrilateral is defined as the total length of the external boundary sides of the quadrilateral.
We are given the side lengths as:
x² - 3x
3x - 1
3x² - 11x
x + 2
Thus:
Total Perimeter = x² - 3x + 3x - 1 + 3x² - 11x + x + 2
Collecting like terms gives us:
4x² - 10x + 1
That is the algebraic expression that shows us the perimeter of the quadrilateral
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Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answer:
the length of the unknown side of the right angle triangle is 1 cm
Step-by-step explanation:
The computation of the length of the unknown side of the right angle triangle is shown below:
= √9^2 - √8^2
= √81 - √64
= 9 - 8
= 1 cm
Hence, the length of the unknown side of the right angle triangle is 1 cm