The number of visits that Alang makes to earn a free movie ticket will be 8.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Alang has a rewards card at a cinema.
The mere act of joining up earns him 55 reward points.
Every time he enters a movie theater, he receives 3.5 points.
To receive a free movie ticket, he needs 83 points.
Let x be the number of visits. Then the equation is given as,
3.5x + 55 = 83
Simplify the equation, then the value of x will be
3.5x = 83 - 55
3.5x = 28
x = 28 / 3.5
x = 8
The number of visits that Alang makes to earn a free movie ticket will be 8.
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Answer:
Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.
Step-by-step explanation:
ok so im really confused i will give brainliest to who answers first!
Answer:
1) fraction
2)denominator
3)quotient
4)remainder
i hope this helps
find f'(x) when f(x) = (x^2) - 2x. find the equation of the tangent line and the normal line at x=4
The derivate of a function f(x) is determinated as:
\(f^{\prime}(x)=\lim _{h\to0}\frac{f(x+h)-f(x)}{h}\)For the function
\(f(x)=x^2-2x\)First we have to determine de f ( x + h ) as follow:
\(f(x+h)=(x+h)^2-2(x+h)\)\(f(x+h)=x^2+2xh+h^2-2x-h^{}\)Then we calculate and simplify the coeficient in the first formula
\(\frac{f(x+h)-f(x)}{h}\)\(\frac{(x^2+2xh+h^2-2x-h^{})-(x^2-2x)}{h}\)\(\frac{x^2+2xh+h^2-2x-h^{}-x^2+2x}{h}=\frac{h^2+2xh-h}{h}\)\(\frac{h^2+2xh-h}{h}\text{ = }\frac{h(h+2x-1)}{h}=h+2x-1\)So the derivate is:\(f^{\prime}(x)=\lim _{h\to0}\frac{f(x+h)-f(x)}{h}=\lim _{h\to0}h+2x-1\)\(f^{\prime}(x)=0+2x-1\)\(f^{\prime}(x)=2x-1\)------------------------------------------------------------------------------------The equation of the tangent:
First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function
And the equation to thist tangent in a specific point will be find using the next formula:
\(y-f(x_0)=m(x-x_0)_{}\)We have to calculate the slope in the point x =4 using the derivate:
\(m=2x-1\)\(m=2(4)-1=7\)In the point x=4
Calculate the value of f(x0) substituting in the function the given point x:
\(f(4)=4^2-2(4)\text{ = }8\)Knowing that we put the value of m and f(x0) in the equation of the tangent:
\(y-8=7(x-4)_{}\)\(y-8=7x-28\)\(y=7x-28+8\)So the equation of the tangent in x= 4 is:\(y=7x-20\)---------------------------------------------------------------------------
The normal line
The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:
\(m_n=-\frac{1}{m_t}\)So in this situation is:
\(m_n=-\frac{1}{7}\)The equation of the normal line is given by the next formula:
\(y-f(x_0)=m_n(x-x_0)_{}\)Replacing the data we obtain:
\(y-8=-\frac{1}{7}(x-4)_{}\)\(y-8=-\frac{1}{7}x+\frac{4}{7}\)So the equation of the normal line is:\(y=-\frac{1}{7}x+\frac{60}{7}\)a healthcare provider saw that 48 % 48h, percent of their members received their flu shot in a recent year. the healthcare provider tried a new advertising strategy in the following year, and they took a sample of members to test if the proportion who received their flu shot had changed. what are appropriate hypotheses for their significance test?
Appropriate hypotheses for the healthcare provider's significance test to see if the proportion who received their flu shot has changed in the following year are; Null Hypothesis and Alternative Hypothesis.
Null hypothesis (H0): The proportion of members receiving flu shots remained unchanged (p = 0.48) in the following year.
Alternative hypothesis (H1): The proportion of members receiving flu shots increased (p > 0.48) or decreased (p < 0.48) in the following year, depending on the direction of the change. Since the healthcare provider saw that 48% of their members received their flu shot in a recent year, they will take that proportion as the null hypothesis for their significance test. The alternative hypothesis will either be one-tailed (p > 0.48 or p < 0.48) or two-tailed (p ≠ 0.48), depending on the direction of the change or the preference of the healthcare provider, respectively.
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Mr. Brown opened a new account with a deposit of $4,000.
- The account earned annual simple interest. - He did not make any additional deposits or withdrawals.
- At the end of 4 years, the balance was $4,400. What is the annual interest rate on this account? O 5%
O 2.5%
O 10%
O 7.5%
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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a sample of 158 college students asked them if they liked statistics. 93% said yes. calculate a 89% confidence interval for the true population proportion of those who like statistics
We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.
For P, what is the confidence interval at 95 percent?
Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.
What is the 95 percent confidence interval for the population's proportion of smokers?
Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.
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Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
After one year, the car will be worth $1,275.
Step-by-step explanation:
We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.
1,500 x 0.15 = $225.
Now, me must subtract $225 from the initial value, or $1,500.
1,500 - 225 = $1,275
Therefore, after one year, the car will be worth $1,275.
Hope this helps! :D
Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?
Answer:
(D)
Step-by-step explanation:
If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).
Answer:
D on edge
Step-by-step explanation:
Which equation represents a proportional relationship?
Answer:
Answer: y = 3x
Step-by-step explanation:
Explanation:
The equation that represents a proportional relationship or line is y = kx. Because our answer is in that form we can conclude that y = 3x represents a proportional relationship.
Hope this helps you out :)
Hmm which one? Need it asap and will gift brainlest for answer
Answer:
divide 47.12 by 3.14
Step-by-step explanation:
that way it will give you an answe
The square of a number is added to 6
Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration Jeffs surplus: date and gives him an extra 75% off.
Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
Let's calculate the final amount paid by Alice and Jeff for their purchases.
Alice:
Alice has a budget of $30 for a pair of jeans, and a coupon for $10 off.The price of the jeans she selects is $35 before the coupon.To find the final price she paid, we need to subtract the coupon discount from the original price of the jeans: $35 - $10 = $25.So Alice paid $25 for her pair of jeans.Jeff:
Jeff finds a pack of steaks for $16 and is willing to pay up to $20.This means he has a surplus of $20 - $16 = $4 that he is willing to spend on the steaks.The butcher notices the meat is near the expiration date and gives Jeff an extra 75% off.To calculate the discount, we first need to find 75% of the original price: 0.75 * $16 = $12.So Jeff gets a discount of $12, and the final price he paid is the original price minus the discount: $16 - $12 = $4.Therefore, Jeff paid $4 for the steaks.So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
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Z'hkiya works as a waitress at her family's restaurant. She works 1 hour every moming during the breakfast shift and
returns to work each evening for the dinner shift. In the last four days, she worked 18 hours. If Z'hkiya works the
same number of hours every evening, how many hours did she work during each dinner shift?
I need help so bad
Answer:
3 and a half hours every dinner shift
Answer:
the other guy is right I'm pretty sure
the linear density of a rod of length 1 m is given by (x) = 7/sqrt(x) , in grams per centimeter, where x is measured in centimeters from one end of the rod. find the mass (in g) of the rod.Multiple choice:If lim f(x) = lim g(x) = , then lim[f(x)– g(x)] i. equal 0ii. does not exist iii. depends on f and g
The mass of the rod is 140 grams. If lim f(x) = lim g(x) = L, then lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0. The correct option is (i) equal 0.
To find the mass of the rod, we can integrate the linear density function over the length of the rod:
m = ∫0^100 (7/√x) dx
Using the power rule of integration, we can simplify this expression:
m = 14[√x]0^100
m = 14(10 - 0)
m = 140 grams
Therefore, the mass of the rod is 140 grams.
As for the multiple-choice question, if lim f(x) = lim g(x) = L, then we can use the limit laws to evaluate the limit of their difference:
lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0
So the answer is (i) equal 0.
This result holds true for any two functions with the same limit as x approaches a particular value or infinity. The limit of their difference will always be equal to the difference of their limits, which is zero in this case. Therefore, the answer is not dependent on the specific functions f and g.
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5m- 3 = 4m +30
can you please help me with this problem
Answer:
m=33
Step-by-step explanation:
To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.
5m-3=4m+30
3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.
5m-3+3=4m+30+3
5m=4m+33
4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.
5m-4m=4m-4m+33
5m-4m=33
m=33
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
What is the equation of the line that passes through the point (−4, 8)
and has a slope of zero?
Answer:
y=8
Step-by-step explanation:
Slope-intercept form
y=mx+b
Plug in values
y=0x+b
8=0(-4)+b
b=8
substitute
y=8
Directions: Estimate the sum or difference of each problem. The first one is done for you.
Tip: Round the numbers to the nearest 10 before estimating the sum or difference.
1) 28 + 53=
First, look at the second digit in the number. If it is 5 or higher, round the first digit up. If it is 4 or lower, leave the first digit as it is.
28 = 30
53 = 50
30 + 50 = 80
2) 58 + 31=
3) 73 + 45=
4) 37 + 44=
5) 66 - 21=
6) 53 - 50=
7) 51 - 16=
8) 20 - 11=
9) 86 + 6=
10) 94 + 87=
The rounding up of the numbers indicates that the sum and differences of the numbers are;
8090120805003010100180What is rounding up of numbers?Rounding up of numbers is an estimation method used to provide values that have a particular degree of accuracy.
The sums and difference of the integers obtained using the prescribed method are as follows;
1) 28 + 53 ⇒ 30 + 50 = 80
2) 58 + 31 ⇒ 60 + 30 = 90
3) 73 + 45 ⇒ 70 + 50 = 120
4) 37 + 44 ⇒ 40 + 40 = 80
5) 66 - 21 ⇒ 70 - 20 = 50
6) 53 - 50 ⇒ 50 - 50 = 0
7) 51 - 16 ⇒ 50 - 20 = 30
8) 20 - 11 ⇒ 20 - 10 = 10
9) 86 + 6 ⇒ 90 + 10 = 100
10) 94 + 87 ⇒ 90 + 90 = 180
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Pls help. I need it asap
Answer:
18
Step-by-step explanation:
since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2
(1 point) to avoid collisions with invasive species of aliens, new imperial regulations allow only positive integer space jumps parallel to the three space axes defined in the jedi council's booklet of rules and regulations. how many ways can the millenium falcon travel from earth with coordinates (4,1,0) to the wookiee smugglers trading place at (11,4,3)?
The total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18
The Millennium Falcon can travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) in a total of 18 different ways. The number of ways to travel can be determined using the concept of a combination with repetitions.
The formula for combinations with repetitions is (n+k-1)!/((n-1)!*k!). For this problem, we have n = 3 and k = 8, where n is the number of dimensions of space, and k is the total distance traveled along each axis. Therefore, the total number of ways to travel is (3+8-1)!/((3-1)!*8!) = 18.
The 18 different paths are determined by the combination of the 8 steps taken along each of the three axes, with each step being either positive or negative. Therefore, each path can be written as a 3-tuple (a,b,c) where a,b, and c are the total number of positive and negative steps taken along each of the three axes.
For example, one of the paths from (4,1,0) to (11,4,3) is (5,5,5), meaning that the Millennium Falcon would travel 5 positive steps along the x-axis, 5 positive steps along the y-axis, and 5 positive steps along the z-axis.
In conclusion, the total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18, determined using the concept of combinations with repetitions.
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when the correlation between two variables begins as a direct correlation, then becomes an indirect correlation, or vice versa, what relationship exists?
The relationship between two variables that begins as a direct correlation and then becomes an indirect correlation, or vice versa, is known as a nonlinear correlation.
A nonlinear correlation is when the relationship between two variables is not linear - that is, the correlation between them does not increase or decrease proportionately as one variable increases or decreases. Nonlinear correlations are important in research as they can suggest that a phenomenon is more complex than a linear correlation would indicate.
For example, if two variables have a direct linear correlation, then a small increase in one variable would result in a predictable increase in the other. However, with a nonlinear correlation, a small increase in one variable may result in a much larger or much smaller increase in the other. This suggests that other factors, not captured in the linear correlation, are influencing the relationship between the two variables.
Nonlinear correlations can be positive (the two variables increase or decrease together), negative (one variable increases as the other decreases, or vice versa), or both. Depending on the circumstances, the type of nonlinear correlation can have important implications for the research question being studied.
It is important to note that nonlinear correlations may be caused by a variety of factors, including chance, measurement errors, or the presence of an extraneous variable that has not been accounted for. As such, they should always be further investigated and not taken as an absolute conclusion.
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a) Suppose A⊂B and B is countably infinite. By constructing a bijection, show that A is countable (that is, A is empty, finite, or countably infinite). b) Use part a) to show that if ∣A∣<∣N∣, then A is finite.
If A is a subset of a countably infinite set B, we can construct a bijection between A and a subset of natural numbers to show that A is countable. If the cardinality of A is strictly less than the cardinality of the set of natural numbers, then A is finite.
a) If A is a subset of B and B is countably infinite, we can construct a bijection between A and a subset of natural numbers (N) to show that A is countable. Since B is countably infinite, there exists a bijection f: N -> B. Now, consider the restriction of f to A, denoted as f': A -> B, where f'(x) = f(x) for all x in A. This restriction is a bijection between A and a subset of B, which implies that A is countable.
b) Using the result from part a), if the cardinality of A, denoted as |A|, is less than the cardinality of the set of natural numbers (N), denoted as |N|, then A is countable. Since a countable set can be empty, finite, or countably infinite, if |A| is less than |N|, A cannot be uncountable (which includes sets with uncountable cardinality such as the real numbers). Therefore, A must be either empty, finite, or countably infinite. Hence, if |A| < |N|, A is finite.
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Twelve people who suffer from chronic fatigue syndrome volunteer to take part in an experiment to see if shark fin extract will increase one's energy level. Eight of the volunteers are men and four are women. Half of the volunteers are to be given shark fin extract twice a day and the other half a placebo twice a day. We wish to make sure that four men and two women are assigned to each of the treatments, so we decide to use a block design with the men forming one block and the women the other.
For which reason is a block design appropriate in this experiment?
Answer:
It seperates the people who are using shark fin and the ones who are using a placebo. That way, that variable is already distinguished and leads to greater accuracy.
The block design distinguishes between those who are consuming shark fin and those who are taking a placebo. By doing so, that variable can already be identified, which improves accuracy.
What is chronic fatigue syndrome(CFS)?A complex ailment known as chronic fatigue syndrome (CFS) is defined by excessive exhaustion that lasts for at least six months and that is not fully explained by an underlying medical condition. Exercise or mental effort makes the weariness worse; rest does not make it better.
We choose to utilize a block design with the men forming one block and the ladies the other in order to ensure that four men and two women are assigned to each of the treatments.
It distinguishes between those who are consuming shark fin and those who are taking a placebo. By doing so, that variable can already be identified, which improves accuracy.
Therefore, that reason is a block design appropriate for this experiment.
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I don’t understand help plzz
Answer:
Slope/m=1/2, y-intercept=-4
Step-by-step explanation:
Y=mx+b is slope-intercept form. So in the equation y=1/2x-4, m stands for the slope, and in the equation 1/2 is in the place of m. B stands for the y-intercept, and in its place is -4.
Ahem, I'm writing with a mouse, excuse the scraggly lines and writing on the graph.
The main span of the Brooklyn Bridge is 1595 feet long. The Golden Gate Bridge is about 263% of the length of the Brooklyn Bridge. To the nearest hundred feet, how long is the Golden Gate Bridge?
Answer:
4200 feet
Step-by-step explanation:
You want to know the length of the Golden Gate Bridge, given as 263% of the 1595 ft length of the Brooklyn Bridge.
PercentIn the context of this math problem, "of" means "times", so we have ...
263% of 1595 ft = 263% × 1595 ft
The percent sign (%) is interchangeable with the math expression /100, so the GG Bridge is about ...
263/100 × (1595 ft) = 4194.85 ft
You want this rounded to the nearest hundred, so it becomes ...
4194.85 ≈ 4200
To the nearest hundred feet, the Golden Gate Bridge is about 4200 feet long.
The basement in perry's house is shaped like an rectangular prism that is 28 feet long, 16 ft wide, and 8 ft high. They are going to paint everything but the floor. What is the area that will need to be painted?
Answer:
Step-by-step explanation:
Ceiling area: (28 ft)(16 ft) = 448 ft^2
End areas: 2(16 ft)(8 ft) = 256 ft^2
Long wall areas: 2(28 ft)(8 ft) = 448 ft^2
Total area (not incl. floor area) = 1152 ft^2
what is the slope of the line on this graph
Answer:
m = 1/2
Step-by-step explanation:
Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.
2 - 0 / 0 - (-4)
2/4
1/2
Answer:
the slope of the line is 2
Step-by-step explanation:
use the formula for the slope of a line: y2-y1/x2-x1
this will give you 2-0/0-(-4) = 2/4
simplified to 2 for the slope.
if the answer you need is just the slope ten it would be 2
if you're looking for the equation of the line it would be y=2x+2
triangle l m n is rotated 180° clockwise about point m, and then translated up. the result is triangle q r p. questionmove a side and an angle to the lines to show corresponding parts in the two triangles.response area with 2 blank spacesside l m corresponds to sideblank space 1 empty. angle l corresponds to angleblank space 2 empty.answer options with 6 options.
The corresponding parts in the two triangles are:
- Side LM corresponds to side QR.
- Angle L corresponds to angle R.
The given question asks us to identify the corresponding parts between two triangles, triangle LMN and triangle QRP, after a series of transformations.
To determine the corresponding parts, let's analyze each transformation step by step:
1. Triangle LMN is rotated 180° clockwise about point M. This means that every point in triangle LMN is rotated by 180° in a clockwise direction around point M.
2. After the rotation, triangle LMN is then translated up. This means that every point in triangle LMN is moved vertically upwards by the same distance.
Now, let's consider the corresponding parts between the two triangles:
- Side LM corresponds to side QR. This is because after the rotation and translation, the side LM of triangle LMN aligns with side QR of triangle QRP.
- Angle L corresponds to angle R. This is because after the rotation, angle L of triangle LMN becomes angle R of triangle QRP. The rotation preserves the measure of the angles.
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In the diagram below, FG = 10 and HJ =10. Which additional facts would guarantee that FGHJ is a parallelogram
Answer:
FJ = 15 GH = 15
FG is parallel to HJ
Step-by-step explanation: