To determine if the point is a solution or not, we have to substitute the x-value and see if the y-value is correct:
*For x=5
\(\begin{gathered} -2y+5=8 \\ -2y=8-5 \\ y=-\frac{3}{2} \\ y=-1.5 \end{gathered}\)For x=2
\(\begin{gathered} -2y+2=8 \\ -2y=8-2 \\ y=-\frac{6}{2} \\ y=-3 \end{gathered}\)For x=-1
\(\begin{gathered} -2y-1=8 \\ -2y=8+1 \\ y=-\frac{9}{2} \\ y=-4.5 \end{gathered}\)For x=-3
\(\begin{gathered} -2y-3=8 \\ -2y=8+3 \\ y=\frac{11}{-2} \\ y=-5.5 \end{gathered}\)Then, the point that is NOT a solution for the equation is D. (-3, 2). The solution for x=-3 is -5.5.
the letters of the word `sixteen' are randomly arranged. what is the probability that the two e's are not next to each other?
The probability of getting e's not next to each other is 0.05.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the letters of the word `sixteen' are randomly arranged.
The arrangement of the e's not to come next to each other is, 3! and the total arrangement will be 5!
The probability will be calculated as,
P = (3!/5!)
P = (3x 2) / (5x4x3x2x1)
P = 1 / 20
P = 0.05
Therefore, the probability of getting e's not next to each other is 0.05.
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The margin of error of a confidence interval is the error from biased sampling methods.a. trueb. false
Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.
What is Margin of error ?Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.
False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.
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please help me chile
Answer:
64 units sqr.
Step-by-step explanation:
If the frame is 2 units wide, there is 4 units total on the top and bottom, extra. So, adding that to our units, it is 7+4 = 11 by 5+4 = 9 NINE BY 11. 9*11 = 99, and 99-35 = 64. So it is 64
Which equation shows the distributive property? A 4(3+6)=12+24 B (4+3)+6=6+(4+3) C (12+4)+0=12+4 (12+4)+6=12+(4+6) D
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
so the correct answer is A.
A 4(3+6)=12+24
B (4+3)+6=6+(4+3)
C (12+4)+0=12+4
D (12+4)+6=12+(4+6)
(04.03 MC)
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 8(1.05)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent? (4 points)
(10 points)
Answer:
A) 0 ≤ n ≤ 7
B) initial height of plant = 8 cm
C) average rate of change = 0.475 cm/day.
Plant grew an average of 0.475 cm per day from day 2 to day 6
Step-by-step explanation:
\(f(n)=8(1.05)^n\)
Part A
Given height = 11.26 cm
\(\implies 8(1.05)^n=11.26\)
\(\implies(1.05)^n=\dfrac{11.26}{8}\)
\(\implies(1.05)^n=1.4075\)
Taking natural logs:
\(\implies \ln(1.05)^n=\ln(1.4075)\)
\(\implies n\ln(1.05)=\ln(1.4075)\)
\(\implies n=\dfrac{\ln(1.4075)}{\ln(1.05)}\)
\(\implies n=7.005819448\)
\(\implies n \approx7\)
Therefore, the scientist concluded his study after 7 days, so the domain is 0 ≤ n ≤ 7
Part B
y-intercept is when the curve intersects the y-axis (when n = 0):
\(\implies f(0)=8(1.05)&^0=8\times1=8\)
The y-intercept represents the initial height of the plant, which is 8 cm
Part C
Rate of change = change in y ÷ change in x
⇒ rate of change = change in f(n) ÷ change in n
\(\implies f(2)=8(1.05)^2=8.82\)
\(\implies f(6)=8(1.05)^6=10.72076513...\)
\(\implies \textsf{rate of change} \ =\dfrac{f(6)-f(2)}{6-2}=0.4751912813...\)
So the average rate of change was 0.475 cm/day. This indicates that the plant grew an average of 0.475 cm per day from day 2 to day 6 (over a period of 4 days).
ETA: please see attached graph. The gray dotted curve is the function, and the black solid curve is the function with the restricted domain of 0≤n≤7 since the study took 7 days.
After watching baking shows on T.V., Hakim signs up for a cake-decorating class. To practice his new skills, he decorates a batch of cupcakes with sugar flowers. Hakim puts 3 sugar flowers on each cupcake. In all, Hakim puts 36 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Hakim decorates?
Answer:
3x=36
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
...
Step-by-step explanation:
Which expression can be used to add 3/4 + 1/6
Answer:
Socratic app
Step-by-step explanation:
it will help you
V has coordinates (11,-14), and W has coordinates (x,10)
what is the value of X if VW =25?
Answer:
Step-by-step explanation:
The value of X would be 18
x=18
Scroll down to Page 18.
Step-by-step explanation:
sometimes i just wanna kill my self for pOiNtS
7. for 100/300 bodily injury limits and $100,000 property damage limits,
stephanie ambrose's base premium is $292.50. her base premium is
$75.90 for $50-deductible comprehensive insurance and $225.79 $50-
deductible collision insurance. what is ambrose's annual base premium?
(section 9-4) *
a. $595.00
b. $594.19
c. $658.60
d. $495.91
Stephanie Ambrose's annual base premium is $594.19. b.
To calculate Stephanie Ambrose's annual base premium, we need to add her base premium for bodily injury and property damage limits to the premiums for comprehensive and collision insurance.
Given:
Base premium for bodily injury and property damage limits:
$292.50
Premium for $50-deductible comprehensive insurance: $75.90
Premium for $50-deductible collision insurance: $225.79
To calculate the annual base premium, we sum up all these values:
Annual Base Premium = Base Premium + Comprehensive Premium + Collision Premium
Annual Base Premium = $292.50 + $75.90 + $225.79
Calculating this sum gives us:
Annual Base Premium = $594.19
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What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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You are looking at 1,000 square feet of space in a new building. The cost is $10 per square foot per year. What will the space cost you per MONTH
The space would cost at, $833.34 per month.
:: Total area = 1000 square feet
:: Cost per feet per year = $10
Therefore,
Total cost per year would be, equal to the product of total area and cost per unit area per year.
That is,
Total cost per year = 1000 x $10
That is, $10,000.
Now, we know, there are 12 months in an year.
So, cost per month is, ( total cost per year / 12 )
That is, therefore,
Cost per month = ($10,000 / 12)
Which equals to, $833.34 per month. (rounded off)
So,
The space cost at, $833.34 per month.
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The space cost you $833.33. per MONTH
To calculate the monthly cost, we first need to determine the annual cost of the space.
Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:
Annual cost = the space * cost
Annual cost = 1,000 square feet * $10/square foot = $10,000
To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):
Monthly cost = $10,000 / 12 = $833.33
Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.
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Find the value of x if 3x + 1 = 16.
Answer:
x=5
Step-by-step explanation:
3x+1=16
1-1= 16-1 1 cancels
3x=15
3/3=15/3 3 cancels and you're left with
x=5
Answer:
The answer to your question is X=5
Step-by-step explanation:
3x5=15
15+1=16
Hope this helps you!!!
Which number is irrational?
Answer:
I need to know the numbers then Im able to help :3
Step-by-step explanation:
On Thursday, 4 out of the first 10 students who ate a school lunch chose spaghetti. Based on this information, if 640 students ate a school lunch on Thursday, how many students could be expected to have chosen spaghetti?
Answer:
256
Step-by-step explanation:
In the rectangle below,EI=4x+5 ,FI=6x+1 , and m
Answer:
what? I dont understand not one thing
Solve the system of equations 3x+2y= 28 x+2y=8
Answer:
y= -1 x=10
(-1,10)
consistant independent
-7=z/4 solve for z this is for a grade will mark brainliest if right!
Answer:
z = -28
Step-by-step explanation:
z/4 = -7
Multiply by 4 on both the sides,
z = -7*4 = -28
Answer:
z = -28
Step-by-step explanation:
-7 = z/4
4 × (-7) = 4 × z/4
-4 × 7 = 4 × z/4
-28 = 4 × z/4
z = -28
Find x. Simplify completely.
х
9
10
Answer:
10
Step-by-step explanation:
geometric mean theorem :
h = sqrt(pq)
p, q being the segments on the Hypotenuse of the right-angled triangle.
so, x = sqrt(9×10) = 3×sqrt(10)
Given ST|UV and SU || TV, find the measure of each angle below.
Find the angle of STU
Find the angle of TVW
Answer: \(\angle STU=34^{\circ}, \angle TVW=116^{\circ}\)
Step-by-step explanation:
By the alternate interior angles theorem,
\(3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^{\circ}}\)
By the alternate interior angles theorem, \(\angle UTV=82^{\circ}\), and we also know that \(\angle TUV=34^{\circ}\).
Thus, by the exterior angle theorem,
\(\angle TVW=82+34=\boxed{116^{\circ}}\)
2/10+4/100 what is the answer
Answer: 24/100
Step-by-step explanation:
2/10= 20/100
20/100 +4/100= 24/100 hope this helps
B. Describe the relationship between bridge length and breaking weight. How is thatrelationship shown by patterns in your table and graph?C. Use your data to predict the breaking weights for bridges of lengths 3,5, 10, and 12 inches.Explain how you made your predictions.D. Compare your data from this experiment to the data from the experiment on bridges withdifferent numbers of layers. How is the relationship between the number of layers in a bridgeand its breaking weight similar to the relationship between bridge length and breakingweight? How is it different?
ANSWER and EXPLANATION
B. We are to describe the relationship between bridge length and breaking weight.
To do this, we need to check the graph.
In doing that, we will see that the breaking weight appears to decrease as the Bridge length increases.
We can conclude then that the breaking weight and bridge length have an inverse relationship.
That is shown in the graph.
The highest value of the breaking weight is 14 and that is when the value of bridge length is at its lowest (4).
The lowest value of the breaking weight is 3 and that is when the value of the bridge length is at its highest (11)
Hence, there is an inverse relationship between them.4)
Assume that the domain of x is {0, 1} and the domain of y is {2, 4, 7}. Which of the following is the correct representation of Wxày Q(x, y) as a formula without quantification? (Q(0, 2) V Q(0,4) V Q(0, 7)) ^ (Q(1, 2) V Q(1, 4) V Q(1, 7)) O (Q(0, 2) 1 Q10, 4) A Q10, 7)) V (Q(1, 2) A Q(1, 4) A Q(1, 7)) (Q(0, 2) 1 Q(0, 4) 1 Q(0, 7)) ^ (Q(1, 2) 1 Q(1, 4) 1 Q(1, 7)) O (Q(0, 2) V Q(0, 4) V Q10, 7)) V (Q(1, 2) V Q(1, 4) V Q(1, 7))
The correct representation of Wxày Q(x, y) as a formula without quantification is: (Q(0, 2) V Q(0, 4) V Q(0, 7)) ∧ (Q(1, 2) V Q(1, 4) V Q(1, 7))
This formula uses the logical connectives "and" and "or" to combine the statements Q(x, y) for all possible values of x and y. The "and" connects the statements for x=0 and x=1, ensuring that both sets of possibilities are considered. The "or" connects the statements for each possible value of y, allowing for any value of y to satisfy the condition.
Option A is incorrect because it uses the connective "1" which is not a valid logical connective. Option B is incorrect because it uses the connective "or" to combine the statements for each possible value of y, which does not allow for all possibilities to be considered. Option C is incorrect because it only considers the statements for each possible value of x and y separately, without connecting them with the appropriate logical connectives.
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I need help with question number 10 the question says Ash has 61 toothpicks but do I keep increasing by 1 until I get 61?
The largest figure that Ash can built with 61 toothpicks is of:
A composition of 12 hexagons.
How to obtain the largest figure?The number of toothpicks needed is modeled with a linear function, defined as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, representing the number of toothpicks per new figure.b is the y-intercept, representing the number of toothpicks of the first figure.The number of toothpicks in each figure is represented by the following sequence:
(6, 11, 16, ...).
Hence the parameters are given as follows:
m = 5, b = 6.
Thus the definition of the function is of:
T(n) = 5(n - 1) + 6. (as the first figure is with n = 1).
T(n) = 5n + 1.
Then the number of hexagons with 61 toothpicks is obtained as follows:
5n + 1 = 61
5n = 60
n = 60/5
n = 12 hexagons.
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Determine which integer will make the inequality x − 4 < 16 true.
S:{16}
S:{20}
S:{21}
S:{32}
Answer:
it's S:21
i had this same question lol
Wilbur flew twice as fast as his brother Orville and therefore made the 852-ft flight in 6 seconds less time. What is each of their rates in feet per second and how many seconds is each of their flights.
Wilbur's flight took about 43.7 seconds.
How to find the time?Let x be the rate of Orville in feet per second and 2x be the rate of Wilbur in feet per second. Let t be the time it took for Orville to complete the flight and t - 6 be the time it took for Wilbur to complete the flight.
We know that the distance traveled by both brothers is the same, which we can express with the equation:
distance = rate × time
For Orville:
distance = x * t
For Wilbur:
distance = 2x * (t - 6)
Since the distance is the same for both brothers, we can set the two equations equal to each other:
x * t = 2x * (t - 6)
Expanding and simplifying the right-hand side:
xt = 2xt - 12x
12x = xt
x = t/12
So, Orville's rate is x = t/12 feet per second.
Substituting this into one of the equations for distance, we can solve for t:
distance = x * t
852 = (t/12) * t
852 = t² / 12
t² = 12 * 852
t² = 10224
t ≈ 101.1 seconds (rounded to the nearest tenth)
So, Orville's flight took about 101.1 seconds.
Now we can use the equation for Wilbur's distance to find his rate:
distance = 2x * (t - 6)
852 = 2(2x) * (101.1 - 6)
852 = 4x * 95.1
x ≈ 5.64 feet per second (rounded to the nearest hundredth)
So, Orville's rate is about 5.64 feet per second, and Wilbur's rate is twice that or about 11.28 feet per second.
To find Wilbur's time, we can use the equation for distance again:
distance = 2x * (t - 6)
852 = 2(11.28) * (t - 6)
852 = 22.56t - 135.36
22.56t = 987.36
t ≈ 43.7 seconds (rounded to the nearest tenth)
So, Wilbur's flight took about 43.7 seconds.
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Can someone please help? Factor until you can factor no more! Helpful Hint: Follow the Steps to Complete Factorization: 1) Arrange the terms in descending powers 2)
Separate the GCF 3) Factor trinomials 4) Factor any difference of squares
3x2 - 6x - 240
16y2 + 68y + 42
10x - 3 - 3x2
6y2 - 48 + 42y
jm + jn + km + kn
ab + 2a + 3b + 6
x2 + xy - 2x - 2y
mn - 4m - 5n + 20
Factor when dividing the function the remainder is zero. The factorized form of the function is 3(x^2-2x-80).
What is a factor?A factor of a function is a factor which when multiplied by another the result is the function itself.
here, we have,
We know that in order to factorize a function of the second-order, we need to take the common terms out from the expression,
f(x) = 3x^2 - 6x - 240
now,
Taking 3 as the common terms out of the entire function,
f(x) = 3x^2 - 6x - 240
= 3(x^2-2x-80)
Hence, the factorized function, f(x) = 3x^2 - 6x - 240 is 3(x^2-2x-80)
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If DA = 6 and MD = 4, what is the length of DK?
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
Answer:
DK= 9
Step-by-step explanation:
I guessed and got it right :)
The table represents some points on the graph
of a linear function.
X
-3
-0.5 2
4.5 7
Y
10.5 3
-4.5
-12
Which equation represents the same
relationship?
-19.5
A linear function has a constant rate of change. To find the equation of the function, we need to determine the slope and y-intercept.
Using the given points, we can calculate the slope as:
slope = (change in y) / (change in x)
= (3 - 10.5) / (-0.5 - (-3))
= -7.5 / 2.5
= -3
To find the y-intercept, we can use one of the points and the slope in the slope-intercept form of a linear equation:
y = mx + b
where m is the slope and b is the y-intercept.
Using the point (-0.5, 3), we can substitute the slope and solve for b:
3 = (-3)(-0.5) + b
3 = 1.5 + b
b = 1.5
Therefore, the equation that represents the same relationship as the given points is:
y = -3x + 1.5
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