Independent practice question x/8-1/2=-7/2
Answers
Answer:
x = -24
Step-by-step explanation:
If you are to solve for x then multiply everything by 2 so
\(\frac{2x}{8}\) - 1 = -7 now multiply everything by 8 to get rid of the fraction
2x - 8 = -56, solve for x so 2x = -48 so x = -24
Related Questions
If 24 people fit in 12 RVs,
How many people are in each RV?
Answers
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
Use differentials to approximate the change in the volume of a spherical balloon of radius 2 meters if the balloon deflates to a radius of 1. 8 meters.
Answers
The changes in the volume of the spherical balloon is approximately o.3351-meter cube.
the volume of the sphere =\(v=\frac{4}{3}\pi r^3\)
using the definition of differential to find the change we write
\(dv=\frac{4}{3}\pi (dr)^3\)
where, \(dr\)=\(r_{2}-r_{2}\)
\(dr\)=\(2-1.8\\\)
\(dr\) \(=0.2\)
\(dv=\frac{4}{3}\pi (0.2)^3\)
\(dv=0.3351\) approx.
where dr and dv represent the differential or change with respect to radius and volume in the above calculation. so first we apply differential on both sides of the formula of the sphere then we find its approximation by the next coming equation. so, the volume of the sphere is approximately 0.3351-meter cube here approximation represents that it is not the exact solution it is basically approximated solution.
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Answer:
3.2 π
Step-by-step explanation:
The volume V of a sphere with radius r is given by the formula V = (4/3) * π * r^3.
Taking the derivative with respect to r, we get dV/dr = 4 * π * r^2.
Let dr be the change in radius, which is 1.8 - 2 = -0.2.
The differential dV is given by dV ≈ (dV/dr) * dr = 4 * π * r^2 * dr.
Substituting r = 2 and dr = -0.2, we get dV ≈ 4 * π * 2^2 * (-0.2) = -3.2 * π.
So, using differentials, we estimate that the volume of the balloon decreases by approximately 3.2 * π cubic meters as it deflates from a radius of 2 meters to a radius of 1.8 meters.
Triangle ABC with vertices A(9, 13), B(12, 11), and C(8,7);
scale factor: k = 2, center of dilation: (11, 14) (help please)
Answers
When a triangle is dilated, the size of the triangle changes.
The image of \(\triangle A'B'C'\) are:
\(A' = (7,12)\)
\(B' = (13,8)\)
\(C' =(5,0)\)
We have:
\(A = (9,13)\)
\(B = (12,11)\)
\(C = (8,7)\)
\(k = 2\)
Start by multiplying the scale factor by the coordinates of \(\triangle ABC\)
\(A = (9,13) \times 2\)
\(A = (18,26)\)
\(B = (12,11) \times 2\)
\(B = (24,22)\)
\(C =(8,7) \times 2\)
\(C =(16,14)\)
Subtract the center of dilation from the above coordinates
\(A' = (18,26) - (11,14)\)
\(A' = (18-11,26-14)\)
\(A' = (7,12)\)
\(B' = (24,22) - (11,14)\)
\(B' = (24-11,22-14)\)
\(B' = (13,8)\)
\(C' =(16,14) - (11,14)\)
\(C' =(16 - 11,14 - 14)\)
\(C' =(5,0)\)
Hence, the image of \(\triangle A'B'C'\) are:
\(A' = (7,12)\)
\(B' = (13,8)\)
\(C' =(5,0)\)
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Stop giving me links and HELP ME. I will mark BRAINLIEST
x=3y-4
2x-y=7
Use substitution and elimination method
Answers
Answer:
y = 3
Step-by-step explanation:
substitute the x in 2x - y = 7 by x = 3y - 4 and then solve
2(3y - 4) - y = 7
Distribute the 2 into the parenthesis
6y - 8 -y = 7
combine like terms
5y - 8 = 7
add 8 on both sides
5y = 15
divide by 5 on both sides to isolate the y-value
y = 3
2x+y=3;x-y=0 graphical method
Answers
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
A graphing calculator works nicely for solving equations graphically.
__
If you want to plot these by hand, it is convenient to write them in slope-intercept form:
y = -2x +3 . . . . . subtract 2x from both sides of the first equation
y = x . . . . . . . . . add y to both sides of the second equation
These tell you the first line goes through (0, 3) with a slope of -2. The second line goes through the origin with a slope of +1.
The solution is ...
(x, y) = (1, 1)
_____
Additional comment
Slope-intercept form is not the only convenient form for graphing the equation of a line. The first equation, for example, is given in standard form, which makes it easy to see the x-intercept is 3/2, and the y-intercept is 3. Sometimes plotting points with a fractional coordinate can be problematical, so we choose to put that equation into a different form.
The second equation quite clearly tells us y=x, so we know that line goes through points that have the same x- and y-coordinates.
The two-way frequency table shows the results of a survey of students.
Right-handed
Left-handed
Total
In music program Not in music program Total
43
394
437
15
33
48
427
475
OA. 48
58
How many left-handed students are not in the music program?
Answers
The given two-way Frequency table, there are 33 left-handed students who are not in the music program.
The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.
From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.
the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.
Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program
Number of left-handed students not in the music program = 48 - 15
Calculating this, we find that the number of left-handed students not in the music program is 33.
Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.
In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.
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The milligrams of aspirin in a person's body is given by the equation a = 500 ⋅ (3/4)t , where t is the number of hours since the patient took the medicine. How much aspirin will be in the person's body after two hours?
Answers
Answer:
a = 281.25 mg after two hours
Step-by-step explanation:
Here, we want to get the amount of aspirin that will be present after two hours
what we simply do here is to substitute 2 for t
Thus, we have it that;
a = 500(3/4)^2
a = 500•(0.75)^2
a = 281.25 mg
sally's algebra grade depends on three unit tests and a final exam. the grade for the final exam is weighted to equal the grade of two unit tests. what is the minimum grade that sally must get on her final exam in order to have a class average of 90 or above for the course, if her unit test scores are 95, 88, and 85
Answers
Hope this image helps you out!
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
Answers
The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function whose range is (2, ∞) has to be find out.
The first function given in the problem is,
\(y=2^x\)
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The second function given in the problem is,
\(y=2(5)^x\)
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The fourth function given in the problem is,
\(y=(5)^x+2\)
This function is translated 5 units up to the function 5ˣ which has the range (0,∞).
Thus, the range of this function is (2, ∞).
Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
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Answer:
D ) y = 5^x + 2
Step-by-step explanation:
Here ya go ladies and gentlemen
n=1 1. Let {fn : 1 + R} be a sequence of functions and I be a nonempty subset of R. Prove or disprove that if n(x) is uniformly convergent on I, then there exists a sequence {M}=1 such that for any n e N, /(x) < M, for any rer and M, is convergent. n=1
Answers
The statement is false; there does not exist a sequence {M} such that for any n in N, fn(x) < M for any x in R, and M is convergent.
To prove or disprove the statement, let's consider the negation of the given claim:
"If n(x) is uniformly convergent on I, then there exists a sequence {M}=1 such that for any n e N, /(x) < M, for any rer and M, is convergent."
The negation of this statement is:
"There exists a nonempty subset I of R, and a sequence {fn : 1 + R}, such that n(x) is uniformly convergent on I, but for any sequence {M}=1, there exists an n e N and a rer such that fn(x) ≥ M, for any rer and M, is not convergent."
To disprove the given claim, we need to provide a counterexample that satisfies the negation.
Consider the sequence of functions fn(x) = n on the interval I = [0, 1]. This sequence is uniformly convergent on I since the limit of fn(x) as n approaches infinity is the constant function f(x) = ∞, which is defined on I.
Now, let's assume we have a sequence {M}=1 such that for any n e N, fn(x) < M, for any rer and M. However, for any rer and M, we can always choose n such that fn(x) ≥ M. Therefore, the sequence fn(x) = n does not converge for any rer and M.
Thus, we have shown a counterexample that disproves the given claim, demonstrating that there does not exist a sequence {M}=1 satisfying the stated conditions.
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HELP QUIXK Which side lengths form a right triangle?
Answers
The Johnson family is getting a new fence around their circular pool. If the pool has a radius of 15.6 feet, approximately how many feet of fencing do they need to surround the pool?use 3.14 for pi
Answers
a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
Answers
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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Which of the possibilities below represents the mood and figure of the following argument: Some dictators are not warmongers. Since no dictators are egomaniacs, and some egomaniacs are warmongers. Group of answer choices
AEO - 1
IEO - 1
EIO - 4
IOE - 2
Answers
The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.
The argument can be rewritten as:
Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)
Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)
The mood of the argument is IEO.
Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)
The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.
So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:
IEO - 1
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Need help please fast
Answers
As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;
\({:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}\)
\({:\implies \quad \sf 4x-4+3x+1+y=13x-8}\)
\({:\implies \quad \sf y+7x-3=13x-8}\)
\({:\implies \quad \sf y=13x-8-7x+3}\)
Collecting like terms :
\({:\implies \quad \sf y=(13x-7x)+(-8+3)}\)
\({:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}\)
Hence , the length of Missing side is 6x-5
Daca pui 2 timbre pe fiecare pagina 5 timbre ramin fara loc dar daca pui 3 timbre pe fiecare pgina 15 pagini ramin fara timbre cite pagini si cite timbre sunt in total
Answers
If placing 2 stamps on each page results in running out of space after 5 pages, and placing 3 stamps on each page results in running out of stamps after 15 pages, then there are a total of 75 stamps and 15 pages in total.
If 2 stamps are placed on each page, and after 5 pages there is no space for more stamps, it means that a total of 2 x 5 = 10 stamps have been used.
Similarly, if 3 stamps are placed on each page, and after 15 pages there are no more stamps left, it means that a total of 3 x 15 = 45 stamps have been used.
To find the total number of stamps, we add the number of stamps used in each case: 10 + 45 = 55 stamps.
Since each page can accommodate 2 stamps or 3 stamps, the total number of pages is determined by the number of stamps used in either case. Therefore, there are a total of 15 pages.
In conclusion, there are 75 stamps and 15 pages in total.
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An arc of ABC of a circle of radius 15cm substends an angle of 160 degrees at the centre of the circle. Find the length of arc AB
Answers
Answer:
41.8879
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
There are TWO pictures here. Please show work
Answers
X+y=12
Get the y alone, so subtract x by each side to get y= -x+12
Then fill in the equation: 4x + (-x+12)=33, remove the parenthesis and solve to get 3x+12=33. Then subtract 12 from both sides to get 3x=21. Now divide 3x from both sides to get x=7 now, use this x answer for the previous equation, x+y=12. Fill in the x so now it’s (7) + y=12
And then subtract 7 from both sides to get y=5. So for the first slide, x=7 and y=5
For the next slide, you already have y= -x+15. Fill this in for the equation 3x+2y=36. 3x+2(-x+15)=36 distribute to get 3x+-2x+30=36. Subtract the x’s to get an equation of x+30=36. Subtract 30 from both sides to get x=6 and use this for the other equation, y= -x+15 to get y= -6 + 15, which equals y=9. x=6 and y=9
I hope this helped!
Which expression is equivalent to the expression represented by the verbal phrase?
25% of the quantity of 208 plus n
A. n + 5,200
B. 25n + 5,200
C. n + 52
D. 0.25n + 52
Answers
Answer:
D. 0.25n + 52
Step-by-step explanation:
You want to find an expression equivalent to "25% of the quantity of 208 plus n".
Math expressionThe verbal phrase "208 plus n" is represented using the plus sign:
208 + n
When that quantity is multiplied by 25%, the result is ...
25% of (208 +n) = 0.25(208 +n)
This can be expanded using the distributive property to ...
(0.25)(208) +0.25n = 52 +0.25n
The commutative property of addition lets us write the equivalent expression ...
0.25n +52
Find the inverse of the quadratic equation
f(x)=(x-4)^2+6
Answers
Answer:= x - 6 + 4 , - x - 6 + 4 is the inverse of f(x)=(x−4)2+
Step-by-step explanation:
Step-by-step explanation:
\(y = (x - 4) {}^{2} + 6\)
\(y - 6 = (x - 4) {}^{2} \)
\( \sqrt{y - 6} = (x - 4)\)
\( \sqrt{y -6} + 4 = x\)
Swap x and y.
\( \sqrt{x - 6} + 4 = y\)
Let
\(y = f {}^{ - 1} (x)\)
\(f {}^{ - 1} (x) = \sqrt{x - 6} + 4\)
in a between-subjects 2x4 factorial design with 30 participants randomly assigned to each factorial combination, how many total participants are required?
Answers
A total of 240 participants are required for the study.
In a between-subjects factorial design, researchers manipulate two or more independent variables to examine their effects on the dependent variable. In this design, participants are randomly assigned to one of the treatment groups formed by the combination of the levels of the independent variables.
In a 2x4 factorial design, there are two independent variables, each with two levels. The first independent variable has two levels, and the second independent variable has four levels. Therefore, there are eight possible combinations of the independent variables, andbare assigned to each of these combinations.
To calculate the total number of participants required for the study, we simply multiply the number of participants per combination by the total number of combinations. Number of levels for the first independent variable (2) multiplied by the number of levels for the second independent variable (4) multiplied by the number of participants per cell (30).
In this case, we have:
30 participants per combination x 8 combinations = 240 total participants
So the total number of participants required is:
2 x 4 x 30 = 240 participants.
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How do you do this? Explainatipn pls
Answers
Answer:
paningkamot dong HAHAHAHAHHA
How do I solve this equation?
Answers
Answer:
x=7,x=-4
Step-by-step explanation:
\(2x-3=11\\2x=11+3\\2x=14\\x=7\\\\2x-3=-11\\2x=-11+3\\2x=-8\\x=-4\)
Answer: x=7, x= -4
Step-by-step explanation: Ok because of the absolute value signs, there are going to be two different equations. The first one is just 2x-3=11. Solve that: 2x=14, x=7. Then because the answer in the absolute value could also be -11 (because absolute values always have to be positive), there is another equation : 2x-3=-11. Add 3 on both sides, 2x=-8, x=-4
find the square root of the following number by the long division method for 9801
Answers
Answer:
99.
Step-by-step explanation:
99.0
___________
|9801.000000
9 |81
189 | 1701
| 1701
,,,,,
a motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0)0) to mph in sec. how far has the motorcycle traveled after sec? (hint: convert seconds to hours.)
Answers
The distance traveled by the motorcycle after t seconds is (1/2)av² miles
We can use the following kinematic equation to find the distance traveled by the motorcycle after t seconds:
d = v₀t + (1/2)at²
where d is the distance traveled, v₀ is the initial velocity (0 mph in this case), a is the constant acceleration, and t is the time elapsed.
Since the acceleration is constant, we can use the formula:
v = v₀ + at
to find the final velocity of the motorcycle after t seconds. Then, we convert the time from seconds to hours, since the velocity and acceleration are given in miles per hour per second.
Let's assume that the final velocity of the motorcycle is v mph after t seconds. Then, we have:
v = v₀ + at
v = 0 + at (since the initial velocity is 0)
v = at
t = v/a
Substituting this value of t into the distance formula, we get:
d = v₀t + (1/2)at²
d = 0 + (1/2)a(v/a)²
d = (1/2)av²
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In triangle ABC, the length of side AC is 38cm and
of side AB to the nearest centimetre
Answers
The length of side AC in triangle ABC is approximately 13.898 cm.
To find the length of side AC in triangle ABC, we can use the law of cosines.
The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of the lengths of those two sides and the cosine of the included angle.
In triangle ABC, we are given:
∠A = 65°
AB = 7 cm
BC = 12 cm
We want to find AC.
Using the law of cosines, we have:
AC² = AB² + BC² - 2 * AB * BC * cos(∠A)
AC² = 7² + 12² - 2 * 7 * 12 * cos(65°)
AC² = 49 + 144 - 168 * cos(65°)
AC² ≈ 193.463
Taking the square root of both sides, we find:
AC ≈ √193.463
AC ≈ 13.898
Therefore, the length of side AC in triangle ABC is approximately 13.898 cm.
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Question
The length of side AC of the triangle △ABC when ∠A = 65°, AB = 7cm, and BC = 12cm.
X/3 +5=14
Sorry I’m dumb please help me... again
Answers
Answer:
x=27
Step-by-step explanation:
27/3+5=14
Hey there!
\(Answer:\boxed{x=27}\)
\(Explanation:\)
\(\frac{x}{3}+5=14\)
Let's simplify both sides.
\(\frac{1}{3}x+5=14\)
Now let's subtract 5 from both sides.
\(\frac{1}{3}x+5-5=14-5\)
\(\frac{1}{3}x=9\)
Now in our third/last step, we will multiply both sides by 3.
\(3*(\frac{1}{3}x)=(3)*(9)\\9*3=27\\x=27\)
\(\boxed{x=27}\text{ is the answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
Solve 24x + 2y = 48 for x.
Can you explain it to me please??
Answers
Answer:
x = 2 - 1/12y
Step-by-step explanation:
Remember that we are only solving for x, so we need to isolate x just like in any other equation:
24x + 2y = 48
24x = 48 - 2y
x = 2 - 1/12y
the following are the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11
if the mean age is 9years
find:
1.x
2.find the modal age
3.find the median
Answers
Answer:
X = 3
Mode: 11median: 9
Step-by-step explanations
3x = 3*2 = 6
(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9
The value of X = 3
Mode: 11
Median: 9
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Mode is that number that appears most frequently in the given set of data.
We are given that the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years
3x = 3(2 )= 6
Mean = (6,7,8,8,9,10,11,11,11)/9
= 81/9
= 9
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