Answer:
20+0.5m=30+0.25m
Step-by-step explanation:
0.25m=10
m=40
Tony received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. Which inequality represents the number of packs of paper, p, and notebooks, n, Tony may purchase?
The inequality 5p + 3n ≤ 20 represents the purchase of Tony
Tony received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. Which inequality represents the number of packs of paper, p, and notebooks, n,
We can start by using the data provided in the question to address this problem.
A $20 gift card for school supplies was given to Tony.
A pack of paper costs $5, while a notepad costs $3.
Let n be the number of notebooks Tony may buy and p be the number of packs of paper he may buy.
The paper costs five pence in total.
The price of notebooks is n dollars in total.
Tony has a $20 gift certificate, so we can write:
5p + 3n ≤ 20
This disparity shows how many notebooks and paper packs Tony is allowed to buy.
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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=8−x2. What are the dimensions of such a rectangle with the greatest possible area?
Width = ?
Height = ?
The dimensions of the rectangle with the greatest possible area are approximately:
Width = 4.389
Height = 3.259
Let's assume that the width of the rectangle is ""w"" and the height is ""h"".
Since the base of the rectangle is on the x-axis, we know that the width of the rectangle is equal to the distance between the x-coordinates of its two corners.
Let's say that the x-coordinate of the left corner is ""a"" and the x-coordinate of the right corner is ""b"". Then we have:
w = b - a
The height of the rectangle is the distance between the y-coordinate of its upper corners. Since the upper corners of the rectangle lie on the parabola y=8−x2, we can express the height in terms of ""a"" and ""b"" as follows:
h = 8 - a^2
h = 8 - b^2
The area of the rectangle is given by:
A = w * h
A = (b - a) * (8 - a^2)
To find the dimensions of the rectangle with the greatest possible area, we need to maximize the area A. We can do this by taking the derivative of A with respect to ""a"", setting it equal to zero, and solving for ""a"". Let's do that now:
dA/da = -2a^2 + 8a - b + 8
Setting this derivative equal to zero, we get:
-2a^2 + 8a - b + 8 = 0
We can solve this equation for ""b"" in terms of ""a"" as follows:
b = -2a^2 + 8a + 8
Substituting this expression for ""b"" back into the equation for the area A, we get:
A = (b - a) * (8 - a^2)
A = (-2a^2 + 8a + 8 - a) * (8 - a^2)
A = (-2a^2 + 7a + 8) * (8 - a^2)
A = -2a^4 + 15a^3 - 24a^2 + 64a
To find the value of ""a"" that maximizes this expression for A, we can take its derivative with respect to ""a"", set it equal to zero, and solve for ""a"". Let's do that now:
dA/da = -8a^3 + 45a^2 - 48a + 64
Setting this derivative equal to zero, we get:
-8a^3 + 45a^2 - 48a + 64 = 0
This equation doesn't have a nice closed-form solution, so we'll need to solve it numerically. Using a graphing calculator or a computer algebra system, we can find that one solution is:
a ≈ 2.306
To find the corresponding value of ""b"", we can use the expression we derived earlier:
b = -2a^2 + 8a + 8
b ≈ 6.695
So the width of the rectangle is:
w = b - a ≈ 6.695 - 2.306 ≈ 4.389
And the height of the rectangle is:
h = 8 - a^2 ≈ 3.259
Therefore, the dimensions of the rectangle with the greatest possible area are approximately:
Width = 4.389
Height = 3.259
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If h(x)=-(square root) of x-3 (outside square root) plus 5, then what is the value of h(7)?
Answer:
h(7) = 3
Step-by-step explanation:
h(x) = -\(\sqrt{x-3}\) + 5
h(7) = -\(\sqrt{(7)-3}\) + 5
h(7) = -√4 + 5
h(7) = -2 + 5
h(7) = 3
Which statement is best supported by the information in the box plots?
Answer: A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.
The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.
For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.
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help please thank you
4 1/4 inches long + 2 1/2 inches wide
how do I solve this-
Answer:
I cant see the picture
Step-by-step explanation:
Split the equation into two separate equations (one with a positive and one with a negative), and then solve both equations.
POSITIVE:
2b - 9 = b - 6
b = 3
NEGATIVE:
2b - 9 = -(b - 6)
2b - 9 = -b + 6
3b = 15
b = 5
Answer: b=3, b=5
The illustration shows a wheelchair ramp from the side. The support at BC binds the ramp to the floor. Are Triangles ABC and ADE similar?
Triangle ABC is similar to triangle ADE by AA test of similarity
What is similarity in triangle?Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.
here, we have,
There are different types of similarity test by which we can prove the similarity of triangles.
We are given that BC is parallel to Line DE
As the lines are parallel the respective angle are corresponding angles
hence Angle D = Angle B
And Angle E = Angle C
And both triangle have angle A as common angle
By AA test of similarity we can say that the two triangles are similar
Hence by AA test similarity the two triangles are similar
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in order to determine the effects of collegiate athletic performance on applicants, you collect data on applications for a sample of division i colleges for 1985, 1990, and 1995. what measures of athletic success would you include in an equation? what are some of the timing issues? what other factors might you control for in the equation? write an equation that allows you to estimate the effects of athletic success on the percentage change in applications. how would you estimate this equation? why would you choose this method?
It also allows us to test the statistical significance of the coefficients and determine the strength of the relationship between athletic success and applications.
To determine the effects of collegiate athletic performance on applicants, we can use measures such as team win-loss records, conference championships, national championships, and individual athlete awards such as All-American honors. Timing is a crucial factor to consider as changes in application numbers may not be immediate and could occur over several years. We should also control for other factors such as academic reputation, location, size, and type of college.
To estimate the effects of athletic success on the percentage change in applications, we can use a multiple regression equation. The equation can be written as:
ΔApplications = β0 + β1Win-Loss Record + β2Conference Championships + β3National Championships + β4All-American Honors + β5Academic Reputation + β6Location + β7Size + β8Type + ε
Here, ΔApplications represents the percentage change in applications from year to year. The coefficients β1-β4 represent the effects of athletic success on applications, while β5-β8 control for other factors. ε is the error term.
We can estimate this equation using statistical software such as Stata or R. We would choose this method because it allows us to estimate the effects of multiple variables simultaneously while controlling for other factors that may influence the results.
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What is the Equation of the Line Passes through the points (-4,8) and (1,3)
show work please, i need these asap and thx for trying :)
y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through points (-4,8) and (1,3)
m=3-8/1+4
=-5/5=-1
Now we need to find the y intercept
8=-1(-4)+b
8=4+b
b=4
Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).
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Rose bought 6 pairs of socks for $15.30. Jack bought 10 pairs of socks for $25.00 Part A: Jack says that he paid less per pair of socks than Rose. Is Jack correct? Jack is because Jack paid than Rose. Part B: Robin found a store online where she can buy a package of 5 pairs of socks. These socks sell at the same rate as the socks that Jack bought. How much does Robin pay for the package of 5 pairs of socks?
Answer:
50.4
Step-by-step explanation:
you need to do 15.30 plus 10 which is 15.40 than take that add 25.00 to it and you get 40.4 that 5 plus 5 whixh is 10 ans you get
Help!! I believe I need to find the L and W of browns rectangle to make macdonalds equation but I’m stuck there and need to answer the whole thing for 11
Answer:
W man's W life W parents W pet W grand parents
what percentage of milgram's participants regretted having participated in the study?
1% percentage of Milgram's participants regretted having participated in the study.
Milgram's Study and effect on Research EthicsAlong with being the most powerful study in understanding obedience, Milgram’s research is also one that is often second hand when discussing the ethical treatment of human subjects.
Even though no participants accepted any real shocks, Milgram accept considerable criticism in regard to his treatment of subjects, specifically, Diana Baumrind (1964), claimed Milgram generate unacceptable levels of stress in his participants.
Baumrind (1964) also stated that the lab is an unknown setting, therefore the regulation of conduct is ambiguous for the subject, who would be more prone to obedient behavior set side by set to other environmental conditions. Also, after disclose the deception, subjects may feel used, embarrassed, or distrustful of psychologists and future control figures in their lives (Baumrind, 1964).
Milgram (1964) responded to these criticisms by look over his participants after debriefing them and establish that 83.7% were glad to have participated and only 1.3% regretted it.
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A tank initially contains a solution of 14 pounds of salt in 50 gallons of water. Water with 3/10 pound of salt per gallon is added to the tank at 9 gal/min, and the resulting solution leaves at the same rate. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t). Q' (t) = (b) Find the quantity Q(t) of salt in the tank at time t > 0. (c) Compute the limit. lim Q(t) = 18
The problem involves a tank initially containing a solution of salt and water. Water with a certain salt concentration is added to the tank at a certain rate, and the resulting solution leaves at the same rate. The equation Q'(t) = 2.7 - (0.18 * Q(t)) represents the rate of change of salt in the tank.
(a) The differential equation for Q(t) is derived by considering the rate of change of salt in the tank. It takes into account the rate at which salt is being added and the rate at which it is being removed. The equation Q'(t) = 2.7 - (0.18 * Q(t)) represents the rate of change of salt in the tank.
(b) To find the quantity Q(t) of salt in the tank at time t > 0, the differential equation Q'(t) = 2.7 - (0.18 * Q(t)) is solved with the initial condition Q(0) = 14. The solution is obtained as Q(t) = 27 - 13e^(-0.18t), where e is the base of the natural logarithm.
(c) To compute the limit of Q(t) as t approaches infinity, the expression Q(t) is evaluated as t approaches infinity. The limit is found to be 27, indicating that as time goes to infinity, the quantity of salt in the tank approaches a value of 27 pounds.
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Colin's puppy, Squeeker, weighed 1.5 pounds at his first vet visit. When Squeeker was a year old, he weighed 7.5 pounds. What percent did Squeeker's weight increase between the two visits? *
Squeeker initial weight is 1.5
After a year, Squeeker new weight is 7.5
\(\begin{gathered} \text{percentage increase =}\frac{change\text{ in weight }}{\text{ intial weight}}\text{ }\times\text{ 100 \%} \\ \text{ change in weight= new weight - initial weight = 7.5 - 1.5 =6.0} \end{gathered}\)\(\begin{gathered} \text{percentage increase = }\frac{6.0}{1.5}\text{ }\times\text{ 100 \%} \\ =\text{ 4}\times\text{ 100\% = 400\%} \end{gathered}\)can you please help me
in this problem we have that
y+20=x+15 -------> by vertical angles
isolate variable y
y=x+15-20
y=x-5 ------> equation A
and
(3x+5)+(x+15)=180 ------> by form a linear pair (sipplementary angles)
solve for x
4x+20=180
4x=160
x=40
substitute the value of x in equation A
y=40-5
y=35
therefore
x=40 and y=35
dr. zimmer has designed a test to measure golfers' knowledge of their sport's history. to interpret scores on it, he is presently administering the test to a representative sample of all golfers. dr. zimmer is clearly in the process of
To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.
Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.
This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.
By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.
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What is x x − 7 = 13
Answer:
x = 20
Step-by-step explanation:
13+7=20
x = 20
For what value of c is the function f (x) = с x=-1 , 4 x = 1 , x²-1/(x+1)(x-3) otherwise continuous at a = -1?
The value of c that makes the function f(x) = с continuous at x = -1 is c = 1/2.
To determine the value of c for which the function f(x) = с is continuous at x = -1, we need to ensure that the left-hand limit and the right-hand limit of f(x) as x approaches -1 are equal to f(-1).
Let's evaluate the left-hand limit:
lim (x->-1-) f(x) = lim (x->-1-) с = с.
The right-hand limit is:
lim (x->-1+) f(x) = lim (x->-1+) (x²-1)/(x+1)(x-3).
To find the right-hand limit, we substitute x = -1 into the expression:
lim (x->-1+) f(x) = (-1²-1)/(-1+1)(-1-3) = -2/(-4) = 1/2.
For the function to be continuous at x = -1, the left-hand and right-hand limits must be equal to f(-1):
с = 1/2.
Therefore, the value of c that makes the function f(x) = с continuous at x = -1 is c = 1/2.
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Question 4: State the domain of each of the following functions:
Which choices are equivalent to the fraction below check all that apply?
Answer:
A, C, D
Step-by-step explanation:
30/90 reduces to 1/3
A) reduces to 1/3
B) reduces to 1/2
C) reduces to 1/3
D) 1/3
E) reduces to 1/2
F) 2/3
Hope this helps! :) happy studies!
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error? Jamie should have used the less than or equal to sign when writing the inequality. Jamie should have reversed the inequality when using the division property of inequality. Jamie should have added 500 to both sides. Jamie should have started by dividing by –30.
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Jamie wrote
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x ≥ 10
Instead of reversing the inequality when using the division property of inequality
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x <or= 10
the answer is B i hope this helps
^_^
(Pls help ASAP) brainliest
Answer:
#1
x=8.oo+2.00+4.00
?
Find the missing dimension of the prism.
Volume = 560 ft³
7 ft
U=
u
8 ft
ft
Answer:
u = 10ft
Step-by-step explanation:
7ft x 8ft = 56. 560 ÷ 56 = 10.
Therefore, u = 10ft
Given the function y = 4x - 2, what is the value of y when x = 2 ?
A. y=6
B. y=4
C. y=2
D. y=0
Answer:
i think it's a
Step-by-step explanation:
According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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PLZ HELP FAST :(
Expression A: 3(x+2)
Expression B: 3x+6
Which statement does not show that these expressions are equivalent?
A. Substituting any value of x makes the expression equivalent.
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
C. The expressions name the same number regardless of the value of x.
D. Both expressions inolve addition
Answer:
i would say it was either A or C
Answer:
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
Step-by-step explanation:
When you distribute 3 into x and 2 you get the equation 3x+6 (3x and 3(2)) which makes the expressions equivalent.
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace.
Answer
$7
Explaination :
3 bracelet - $5( for 1)
3 necklace - (unknown)
Total amount paid - $40
change - $4
Calculation for all 3 bracelet
$5×3=$15
Calculation for the real amount
$40-$4=$36
Calculation for 3 necklace
$36-$15=$21
Calculation for 1 necklace
$21÷3=$7
There reason I divide it with 3 was because I got the total amount for 3necklace now I only want 1..
Final answer - $7#
Hope this helped :)
Answer:
$7----------------------------
Each bracelet cost $5 and necklace costs x.
The total for 3 of each is:
40 - 4 = 36Set equation and solve for x:
3(5 + x) = 36 Divide both sides by 35 + x = 12 Subtract 5 from both sidesx = 7How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
Volume of a Cube
Suppose we are given a cube of side L, the volume is calculated by:
\(V=L^3\)
If the volume is given, the side can be found by solving for L:
\(L=\sqrt[3]{L}\)
We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume =375 cube inches:
\(L_1=\sqrt[3]{375}=7.21\ inch\)
Block 2, volume= 648 cube inches:
\(L_2=\sqrt[3]{648}=8.65\ inch\)
Block 3, volume =1029 cube inches:
\(L_3=\sqrt[3]{1029}=10.10\ inch\)
Total height=\(7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch\)
The stack of blocks is 25.96 inches tall