The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches?
A. 4 inches
B. 10 inches
C. 15 inches
D. 20 inches
Explanation needed!!
Answers
Answer:
A. 4 inches
Step-by-step explanation:
Given from the question:
\(\implies p=32\\ \implies l = 1\\\implies l=12\)
Apply:
\(\implies p=2(l+w)\) \(.....\text{Equation 1}\)
\(P=\text{Perimeter of Rectangle}\\L=\text{Length of Rectangle}\\W=\text{Width of Rectangle}\)
Make "W" the subject of the equation:
\(W=(\frac{P}{2} )......\text{Equation 2}\)
Substitute the values given in the question into equation 2:
\(W=(\frac{32}{2} )-12\\\)
\(W=16-12\)
\(W=4\)
Hence, the correct answer would be option A.
Related Questions
Botanists conduct field research to develop recovery plans for endangered species.
They use linear and exponential models and graphs to interpret the resulting data.
Seth tracks the average number of a plant species found in a forest area.
He uses volunteers to help search for the species.
The number n of plants found increases by r percent for each volunteer added to the search. Seth found p plants
before adding any volunteers.
Write an exponential growth function that relates the number n of plants found to the number X of volunteers Seth has.
Answers
Exponential growth function that relates the number n of plants found to the number x of volunteers Seth has,
\(n = p\left(1+\frac{r}{100}\right)^x\)
How to find an exponential function?
Exponential function is the function of growth or decay with the power of the independent variable.
As, n is the number of plants increased.
r is the percent increase
p is the initial plants
and x is the volunteers
Compound Interest/ Exponential equation is,
\(n = p\left(1+\frac{r}{100}\right)^x\)
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The exponential growth function \(n = p(1 + r)^X\)
How to express exponential growth function?The exponential growth function that relates the number n of plants found to the number X of volunteers Seth has can be expressed as:
\(n = p(1 + r)^X\)
where:
n is the number of plants found
p is the initial number of plants found before adding any volunteers
X is the number of volunteers added to the search
r is the percentage increase in the number of plants found per volunteer
he growth factor is represented by the term (1 + r), which is multiplied by the initial number of plants discovered to determine the new number of plants discovered when each volunteer is added. The value of (1 + r)X increases exponentially as X increases, resulting in an exponential increase in the number of plants found.
It is essential to keep in mind that the growth rate r in the formula must be expressed as a decimal rather than a percentage. For instance, r = 0.05 if the number of plants discovered increases by 5% for each volunteer added.
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Wie heißt das mathematische Gebilde: 3x = 10 +5
Term
Variable
Gleichung
Answers
Answer:
The answer is Giechung: equation
Step-by-step Explanation:
equation consist of a dependent variable and independent variable
3x=10+5
3x=15
3x/3=15/3
x=5
I need help with problem
Answers
The numerical value of x in the expression (8x - 2) and ( 7x + 7 ) is 9.
What is the numerical value of x?Vertical angles are simply angles that are opposite of each other when two lines crosses, they are congruent.
Since line m and line n are parallel to each other,
Angle (8x - 2) and Angle ( 7x + 7 ) are vertical angles.
Note that, vertical angles are congruent,
Hence,
(8x - 2) = ( 7x + 7 )
Solve for x
8x - 2 = 7x + 7
Subtract 7x from both sides
8x - 7x - 2 = 7x - 7x + 7
8x - 7x - 2 = 7
x - 2 = 7
Add 2 to both sides
x - 2 + 2 = 7 + 2
x = 7 + 2
x = 9
Therefore, 9 is the value of x.
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let t1 and t2 be linear transformations from v to w. if t1 and t2 are both one-to-one, then t1 t2 is one-to-one
Answers
The statement is true. If both t1 and t2 are one-to-one, then t1 t2 is one-to-one.
How do one-to-one linear transformations affect composition?Where t1 and t2 are both linear transformations from vector space V to vector space W, this is the result of the composition of functions. The composition t1 t2 is a new function that is formed by applying t1 to the output of t2. If both t1 and t2 are one-to-one, then the composition t1 t2 is also one-to-one.
To prove this, let's assume that t1 t2 is not one-to-one, which means that there exist two different inputs in V that produce the same output in W under t1 t2. Let's call these two inputs x1 and x2, and their corresponding outputs y in W. Since t1 is one-to-one, it follows that t1(x1) and t1(x2) are different vectors in W. However, since t1 t2(x1) = t1 t2(x2) = y, we can see that t2(x1) and t2(x2) are the same vector in V.
This contradicts the assumption that t2 is one-to-one, and therefore the original assumption that t1 t2 is not one-to-one is false. Thus, we can conclude that if t1 and t2 are both one-to-one, then t1 t2 is also one-to-one.
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The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y =f(2x)
b.
y = f(ç)
C.
2y = f (x)
d.
2 = f (x)
Enter
Answers
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation
y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.
Therefore, the vertically scale factor is equal to 1/2:
=> y = (1/2)f(x)
This problem can be solved by multiplying it by two and yields the following solution:
=> 2y = f(x)
thus , option c is correct
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
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Find the value of z.
Answers
2z = 15
z = 7.5
Who introduced judicial activism?
Answers
Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
What is judicial activism?
Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]
Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".
Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
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What is the slope of a trendline that passes through the points -3 and three and 18 and 26
Answers
Answer:
C. \(\frac{23}{21}\)Step-by-step explanation:
slope formula: \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)
Points (–3, 3) and (18, 26)
\(\frac{26-3}{18-(-3)}\) = \(\frac{23}{21}\)
I got it right on the test (ed)
If you wanted to perform an aggregated calculation on a lastname field, you would use the ________ function.
Answers
The function is Count.
There are many functions available on a database to do aggregated calculations. So they can be referred as aggregate functions. The aggregate functions available are:
count: To get the the number of rows with a specified criteria.sum: To get the sum of values on the selected cells.max: To get the maximum value within a selected range of data.min: To get the minimum value within a selected range of data.avg: To get the average of the selected data.As the field name referred here is 'lastname', the appropriate aggregate function would be count.
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Anwswr please shshsndhenenwnwn
Answers
For the rectangular figure, the equation for the border having width x will be 4x²+44x=48.
What exactly is a rectangle?
A rectangle is a four-sided polygon with four right angles on its four sides (90-degree angles). It has opposing sides that are both equal in length and parallel. A rectangle is a type of parallelogram in which the opposing sides are also parallel. The two sides that are the same length are referred to as the "width" or "short side," while the other two sides are referred to as the "length" or "long side."
Now,
For the area of the border
Area of bigger rectangle - area of smaller rectangle=48
length of bigger rectangle=13+2x
width=9+2x
length of smaller rectangle=13
width=9
then as area=length*breadth
(13+2x)*(9+2x)-13*9=48
117+26x+18x+4x²-117=48
4x²+44x=48
and x=2.5 is not a good choice because area will be more that 48 in².
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find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67
Answers
a) The probability that more than 64% of the sampled adults drinks coffee daily is equals to the 0.2574.
b) The probability that the sample proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67 is equals to the 0.2316.
We have a report data of National Coffee Association related to coffee drinking by adults. Sample proportion that adults drink coffee daily, p = 61% = 0.61
1 - p = 1 - 0.61 = 0.39
A random sample of sample size, n
= 250.
Population proportion= Sample proportion, p = 0.61
So, mean for population, μₚ = population proportion = 0.61
Standard deviations for population is σₚ
= √p( 1 - p)/n = √0.61(1 - 0.61)/250
= 0.0308
The sample proportion is approximately normally distributed, p ~ N(0.62,0.03072).
a) The probability that more than 64% of the sampled adults drinks coffee daily is, P( X > 0.64) = P ( (X - μₚ)/σₚ < (0.64 - 0.61)/0.0308 = 0.974
Using the normal distribution table probability value, P (Z >0.974 ) is equals to 0.2574 so, P( X> 0.64) = 0.2574.
b) The probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67, P ( 0.59 < p < 0.67) = P[(0.59 - 0.61) / 0.0308 < (p - μₚ)/σₚ < (0.67 - 0.61) / 0.0308]
= P(-0.65 < z < 1.94)
= P(z < 1.94) - P(z < -0.65 )
= 0.4738 - 0.2422
= 0.2316
Hence, required probability is 0.2316.
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Complete question:
Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.
a)find the probability that more than 64% of the sampled adults drinks coffee daily
b)Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67.
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
Answers
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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if initial concentrations are [a]=0.50 m, [b]=0.75 m, and [c]=1.2 m, and at equilibrium [c]=1.0 m, what is the equilibrium constant?
Answers
The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.
The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.
To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.
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in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
Answers
A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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x^2-4x+3=0 write it in standard form.
solve by completing the square.
solve by quadratic formula
Answers
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
) 2 to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7
take the square root of both sides
⇒ x − 2 = ± √ 7 ←
note plus or minus
⇒ x = 2 ± √ 7←
exact solutions
Step-by-step explanation:
x²-4x+3=0
x²-4x=-3
take half of -4 square it and add it to both side
x²-4x+(-2)²=4-3
(x-2)²=1
x-2=±1
x=2±1
x=1,3
Find f(5)
Need help asp!!
Answers
Answer:
i think its wherever f5 is tbh
rectangular swimming pool is 6 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 2700 cubic feet. Find the dimensions of the pool.
Answers
Answer: length = 12 feet, width = 54 feet and depth = 6 feet.
What three numbers are the Pythagorean triple generated by using 4 for x and 3 for y. Remember to use the formulas:
Answers
The three numbers generated from the Pythagorean are 15,8,17. Thus option C is correct option.
According to the statement
We have given that the Pythagorean triple generated by using 4 for x and 3 for y. ad we have to find the three numbers with the help of the given formula.
So, For this purpose,
The given formulas are:
A = x^2 - y^2, B = 2xy, and C = x^2 + y^2
And
Substituting 4 for x and 1 for y in the formulas then, we get
A = x^2 - y^2
here x = 4 and y= 1
then
A = x^2 - y^2
A = 16 - 1
A = 15.
Then
B = 2xy
B = 2(4)(1)
B = 8
And then
C = x^2 + y^2
C = 16 + 1
C = 17.
So, The three numbers generated from the Pythagorean are 15,8,17. Thus option C is correct option.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:
A = x^2 - y^2, B = 2xy, and C = x^2 + y^2
O 6, 8, and 10
O 5, 11, and 12
O 8, 15, and 17
O 3, 5, and 8
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is 0.032 a terminating decimal
Answers
Kala made $182 for 13 hours of work.
At the same rate, how many hours would she have to work to make $154?
Answers
Answer:
she would have worked 11 hours because 182 divide by 13 got 14 so 154 divide by 14 you get 11.
What is the following product?
Answers
Answer:
the image is not opening
Answer:
The answer is the third one :)
Step-by-step explanation:
I don't know how to explain it sorry
A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar.
From this sugar mixture, set aside 1/4 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?
A.) 17/24
B.) 11/24
C.) 1/2
D.) 7/12
Answers
Answer:
C) 1/2
Step-by-step explanation:
We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.
From this sugar mixture, 1/4 cup is set aside for the crumb topping.
To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.
We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)
3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.
1/4 cup is set aside for the crumb topping.
So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup
Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct
A- 7(X + 3) = 4X - 8
B- 7(X + 3) = 4(X - 8)
C- 7X + 3 = 4X - 8
Answers
Answer:
A. 4(x + 3) = 4x - 8.
Step-by-step explanation:
good morning :) At the carnival, the Tea cups spin at a rate of 10 rpm. How long will it take for the Tea cups to spin 43.5 times? A. 435 minutes B. 44.5 minutes C. 43.5 minutes D. 4.35 minutes
Answers
Answer:
Option D
Step-by-step explanation:
Using Unitary Method:
10 rotations = 1 minute
=> 1 rotation = 1/10 minute
Multiplying both sides by 43.5
=> 43.5 rotation = \(\frac{43.5}{10}\) minutes
=> 43.5 rotation = 4.35 minutes
Answer:
Hey!
Your answer is D!
Step-by-step explanation:
To do this...
43.5 / 10= 4.35!
So it is 4.35 minutes!
Sam and Jane split the cost of one sandwich and two bottles of water. The sandwich cost $4.50 and EACH bottle of water cost $1.25. How much did each person pay? (Multiple Step Problem) * 10 points
Answers
Answer:
3.50
Step-by-step explanation:
1.25 x 2 = 2.50
2.50 + 4.50 = 7
7 / 2 = 3.50
Hope this helps!
Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window. a. Write an equation to represent the number of yards of fabric needed given a certain number of windows. Answer y = 8.5x b. What is the rate of change in this situation? Answer _______
Answers
Answer:
\(\frac{dy}{dx}=8.5\)
Step-by-step explanation:
Let \(x\) denotes number of windows and \(y\) denotes the number of yards of fabric needed.
Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window.
a. Equation becomes \(y=8.5x\)
This answer is already given in question.
b. To find rate of change in this situation, find \(\frac{dy}{dx}\)
\(y=8.5x\)
Differentiate with respect to \(x\)
\(\frac{dy}{dx}=8.5(1)=8.5\)
0
1
2
3
4
5.
6
I don’t know what I’m doing
Answers
Answer:
me neither (TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)
The probability of winning a certain lottery is 1/64,481. For people who play 669 times, find the standard deviation for the number of wins. ?
A) 0.1
B) 2.6
C) 1.1
D) 0.3
E) None of These
Answers
The probability of winning a certain lottery is p = 1/64,481. For a single play, the expected number of wins is E(X) = 1*p + 0*(1-p) = p.
The variance of the number of wins for a single play is\(Var(X) = p(1-p) = 1/64,481 * 64,480/64,481 = 64,480/64,481^2\).
For 669 plays, the expected number of wins is 669p and the variance of the number of wins is \(669Var(X) = 669(64,480/64,481^2) = 668.99/64,481\).
The standard deviation is the square root of the variance, so the answer is approximately sqrt(668.99/64,481) = 0.309.
Therefore, the closest answer choice is D) 0.3.
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Write the equation of the line in fully simplified slope-intercept form.
Answers
the -6 is the y intercept and -2/5 is the slope
What is the first step in simplifying the expression below?
[12 = (3 – 1) + 4] x 6
adding 1 and 4
dividing 12 by 3
subtracting 1 from 3
multiplying 4 by 6
Answers
Answer:
subtracting 1 from 3 is the correct answer of this question
The first step in simplifying the expression is subtracting 1 from 3.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Step 1:
12 = [ (3 – 1) + 4] x 6 [ subtracting 1 from 3 ]
Step 2:
12 = [ 2 + 4 ] x 6 [ adding 2 and 4 ]
Step 3:
12 = 6 x 6 [ multiplying 6 and 6 ]
Step 3:
12 = 12
Thus,
The first step is subtracting 1 from 3.
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