Answer:
x=2
Step-by-step explanation:
-7(1-8x)=105 (multiply out the brackets)
-7+56x=105 (add 7 to both sides)
56x=112 (divide both sides by 56)
x=2
Answer:
x=2
Step-by-step explanation:
-7(1-8x) = 105
Distribute the -7.
-7+56x = 105
Add 7 to both sides of the equation.
56x=112
Divide both sides by 56.
x=2
HTH :)
Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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Let's say a person has a credit card with a $150 cash advance with an interest rate of 3%. How much would the advance cost said person at the end of 30 days?
Answer:
Step-by-step explanation:
I=PRT
I=$150*3/100*30
I=150,000,000,000*3/100*30
I=135000000000 dollars
Find the product. (a2)(2a3)(a2 â€"" 8a 9) 2a7 â€"" 16a6 18a5 2a7 â€"" 16a6 â€"" 18a5 2a8 â€"" 16a7 18a6 2a12 â€"" 16a7 18a6
Find the circumference of each circle. Use your calculator's value of p. Round your answer to the nearest tenth.
please helppppppppppppppppppppp
Answer: The circumference is 33.284 cm
Step-by-step explanation:
The equation to find the circumference use the fomula to find it.
3.14 is the simplified version of Pi (I SUGGEST TO USE YOUR CALCULATOR)
C = 2*pi*R /// Circumference = 2 times pi times Radius.
C = 2 * 3.14 * 5.3
C = 6.28 * 5.3
C = 33.284
write each fraction as a decimal 8/12
a bus arrives at 2:30 p.m. in Sydney if it left port if it left port Macquarie at 6.15 a.m the trip took
Answer:
Step-by-step explanation
Left at 6:15 am
How many hours until 2:15pm? 8 hours
How many minutes from 2:15 until 2:30? 15
So it took 8 hours and 15 minutes
help me out please :(
Answer:
45 ft i think im not sure sorry if im wrong
Step-by-step explanation:
A x-bar control chart has an upper control limit of 0. 65 inch and a lower control limit of 0. 35 inch. The results of the next six samples are 0. 60, 0. 37, 0. 45, 0. 48, 0. 53, and 0. 62 inches. What should you do?.
In summary, when a sample falls outside the control limits on an X-bar control chart, it signals a potential problem, and further investigation and corrective actions should be taken to identify and resolve the issue.
In an X-bar control chart, the upper control limit (UCL) and lower control limit (LCL) are set to monitor the process and detect any significant variations.
Given:
UCL = 0.65 inch
LCL = 0.35 inch
The next six samples are:
Sample 1: 0.60 inch
Sample 2: 0.37 inch
Sample 3: 0.45 inch
Sample 4: 0.48 inch
Sample 5: 0.53 inch
Sample 6: 0.62 inch
To determine what should be done, we need to check whether any of the samples fall outside the control limits.
Sample 1: 0.60 inch
Within control limits
Sample 2: 0.37 inch
Below the lower control limit (LCL)
Since Sample 2 falls below the lower control limit, it indicates a significant deviation from the expected process. This suggests that there might be an issue with the process or measurement.
Based on this result, the appropriate action would be to investigate the cause of the variation and take corrective measures to address the issue. It may involve analyzing the process, checking for any equipment malfunction, or reevaluating the measurement procedure.
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All of the following are measures of central tendency except the ________.
Select one:
A. None of the answers are correct
B. mode
C. range
D. mean
E. median
All of the following are measures of central tendency except the range.
The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.
On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.
The mode represents the most frequently occurring value(s) in the dataset.
The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.
The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.
Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.
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Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
Find tan 90°
A)1
B)0
C)Undefined
D)-1
Answer:
Undefined
Step-by-step explanation:
For a unit circle, which has a radius as 1, we can derive the tangent values of all the degrees. With the help of a unit circle drawn on the XY plane, we can find out all the trigonometric ratios and values.
Answer:
C)Undefined
Not defined
Step-by-step explanation:
According to research ,
Tangent function denotes that for a given right-angled triangle, the tan of angleθ is equal to the ratio of the opposite side to the angle and adjacent side or base.
Tan θ = Opposite Side/Adjacent Side
We can also represent the tangent function as the ratio of the sine function and cosine function.
∴ Tan θ =Sin θ /Cos θ
So, tan 90 degrees in terms of ratio is,
Tan 90°=Sin 900 / Cos90°
From the trigonometric table, we know,
Sin 90° = 1
And,
Cos90° = 0
∴ Tan 90°= 1/0 = Undefined
That means, we cannot define Tan 900 value.
My source : The internet .
The population of a city increases by 3.1% per year. If this year's population is 119,000, what will next year's population be, to the nearest individual?
- I just honestly don't know where to start. I haven't done percents in a while, so I need to jog my memories. Any advice on where to start?
Answer:
The next year population is 122,689
Step-by-step explanation:
The computation of the next year population is as follows:
= This year population × increase percentage
= 119,000 × (1 + 0.031)
= 119,000 × 1.031
= 122,689
Hence, the next year population is 122,689
The above formula is applied so that the correct value of the population could come
and the same is relevant
- Hope this helped! ^ω^
a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.
Notice that
(1 + x)(1 + y) = 1 + x + y + x y
So we can add 1 to both sides of both equations, and we use the property above to get
a + b + a b = 76 ==> (1 + a)(1 + b) = 77
and
c + d + c d = 54 ==> (1 + c)(1 + d) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
a + 1 = 7 ==> a = 6
b + 1 = 11 ==> b = 10
(or the other way around, since the given relations are symmetric)
and
c + 1 = 5 ==> c = 4
d + 1 = 11 ==> d = 10
Now substitute these values into the desired quantity:
(a + b + c + d) a b c d = 72,000
pleaseeee help mee!
Answer:
1
Domain is X
Range is Y
its not a function if X repeats
You choose a marble at random from a bag containing 12 red, 12 blue, 15 green, 9 yellow, and 12 black marbles.
Write the probability of the marble is red: as a fraction
as a decimal
and as a percent
You add the marbles together for the denominator.
So 60 marbles altogether. 12/60. This simplifies down to 1/5. Hope this helps.
sat scores have a population mean of 1050 and standard deviation of 100. find the score that a student received if his/her score was the 98.71st percentile.
The score that a student received if his/her score was the 98.71st percentile is 1265 by using the Z-score formula.
The Z-score formula is:
Z = (X - μ) / σ
Where Z is the Z-score, X is the raw score, μ is the population mean, and σ is the standard deviation. In this case, the Z-score for the 98.71st percentile is 2.15 (from Z-score table), the population mean is 1050, and the standard deviation is 100. We can plug these values into the formula and solve for X:
2.15 = (X - 1050) / 100
2.15 * 100 = X - 1050
215 = X - 1050
X = 1265
Therefore, the score that a student received if his/her score was the 98.71st percentile is 1265.
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An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
Amira wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
The polynomial p(z)=2x^(3)-z^(2)+64z-185 has a complex zero at z=-1+6i. Write in factored form as a product of linear and quadratic expressions using integer coefficients only.
The factored form of the polynomial is p(z) = (2z - 5)(z^(2) + 2z + 37).
To write the polynomial p(z) in factored form as a product of linear and quadratic expressions using integer coefficients only, we need to find the other zeros of the polynomial.
Since one of the zeros is a complex number, z = -1 + 6i, the other complex zero will be its conjugate, z = -1 - 6i. This is because complex zeros of polynomials with real coefficients always come in conjugate pairs.
Now, we can write the quadratic expression that has these two complex zeros as
(z - (-1 + 6i))(z - (-1 - 6i)) = (z + 1 - 6i)(z + 1 + 6i) = (z + 1)^(2) - (6i)^(2) = z^(2) + 2z + 1 - 36i^(2) = z^(2) + 2z + 37.
Since the polynomial p(z) is of degree 3, there must be one more zero, which we can find by dividing p(z) by the quadratic expression we just found:
p(z)/(z^(2) + 2z + 37) = 2z^(3)/(z^(2) + 2z + 37) - z^(2)/(z^(2) + 2z + 37) + 64z/(z^(2) + 2z + 37) - 185/(z^(2) + 2z + 37) = 2z - 5
So the other zero is z = 5/2.
Now,
p(z) = 2(z - 5/2)(z^(2) + 2z + 37) = (2z - 5)(z^(2) + 2z + 37)
So the factored form of the polynomial is p(z) = (2z - 5)(z^(2) + 2z + 37).
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A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation?
110xy = 1,210
A) During the promotion, 11 samples are given away each day.
B) It takes 11 days during the promotion to see 1,210 customers.
C) It takes 11 days during the promotion until none of the samples are remaining.
D) There are 11 samples available at the start of the promotion
Answer:
C
Step-by-step explanation:
First, let us clarify what (11, 0) represent
(x, y) ---> (11, 0)
The values are as followed:
x = 11
y = 0
If the problem states that x is the number of days after the promotion started, then it will be 11 days.
When we assert that it has been 11 days, we rule answers A and D.
If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.
Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.
FILL IN THE BLANK. a ___ is a data validation rule that identifies values that are questionable, but not necessarily wrong.
A Range check is a data validation rule that identifies values that are questionable, but not necessarily wrong.
A validation rule is one way to restrict input in a table field or a control (such as a text box) on a form. Validation text lets you provide a message to help users who input data that is not valid.
What is a range check?
Range checks are validation checks used on data which must fall into a particular range. A lower and upper boundary for sensible values is specified.
According to the question,
A Range check is a data validation rule that identifies values that are questionable, but not necessarily wrong.
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Consider the system: ⎩⎨⎧dtdx=2y+x−(x2+2y2)xdtdy=−x+y−(x2+2y2)y (a) Show that the origin is an unstable equilibrium. (b) Show there exists a periodic orbit. HINT: You can use an appropriate Lyapunov functional.
To show that the origin is an unstable equilibrium, we need to find the eigenvalues of the Jacobian matrix evaluated at the origin. The Jacobian matrix is given by:
J = ⎡⎢⎣∂f1/∂x ∂f1/∂y∂f2/∂x ∂f2/∂y⎤⎥⎦
where f1 = 2y + x - (x^2 + 2y^2)x and f2 = -x + y - (x^2 + 2y^2)y. Evaluating the partial derivatives, we get:
J = ⎡⎢⎣-2x(x^2 + 2y^2) -4y(x^2 + 2y^2) -1 + 3x^2 + 2y^2 -1 + x^2 + 6y^2⎤⎥⎦
Evaluating J at the origin, we get:
J(0,0) = ⎡⎢⎣0 0 -1 -1⎤⎥⎦
To find the eigenvalues, we solve the characteristic equation:
det(J - λI) = 0
where I is the identity matrix. Solving, we get:
det(⎡⎢⎣-λ 0 -1 -1⎤⎥⎦) = λ^2 + 2λ = 0
The eigenvalues are λ = 0 and λ = -2. Since one eigenvalue is positive, the origin is an unstable equilibrium.
To show the existence of a periodic orbit, we can use a Lyapunov functional. Let V(x,y) = x^2 + y^2. Taking the time derivative of V, we get:
dV/dt = 2x(dx/dt) + 2y(dy/dt)
Substituting the given system equations, we get:
dV/dt = 2x(2y + x - (x^2 + 2y^2)x) + 2y(-x + y - (x^2 + 2y^2)y)
Simplifying, we get:
dV/dt = -2x^2 - 2y^2
Since dV/dt is negative definite, V(x,y) is a Lyapunov functional and there exists a periodic orbit.
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The length of a rectangle is 3 inches longer than it is wide. If the area is 108 square inches, what are the dimensions of the rectangle
Answer:
width = 9 inches , length = 12 inches
Step-by-step explanation:
let width be w then length = w + 3
area (A) of a rectangle is calculated as
A = length × width
= (w + 3) × w = w(w + 3) = w² + 3w
given A = 108 , then
w² + 3w = 108 ( subtract 108 from both sides )
w² + 3w - 108 = 0 ← in standard form
(w + 12)(w - 9) = 0 ← in factored form
equate each factor to zero and solve for w
w + 12 = 0 ⇒ w = - 12
w - 9 = 0 ⇒ w = 9
however, w > 0 , so w = 9 and w + 3 = 9 + 3 = 12
then width = 9 inches and length = 12 inches
what state of matter does this model represents?
That drawing represents water molecules in a cup.
~Giving tons of branliest!!~
A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes the relationship. How long does it take to receive 1 foot of snow? Use x for the independent variable and y for the dependent variable.
A function is y =
It takes _ hours to recieve 1 foot of snow
Answer:
48 hours
Step-by-step explanation:
1 x 12 = 12, 12 inches in a foot
4 x 12 = 48
Function: y = 1/4x
The dependent variable is the amount of snowfall and the independent variable is the counting of hours.
pls mark brainliest!
<3
Help ASAP! Will name brainliest!
Answer:
ok don't get mad if i get it wrong but would it be the second one because the numbers match up with the numbers in the table itself i don't know if that's what its asking but....
Step-by-step explanation:
Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answer:
you just do 1x2x3x4
and then that equals 24
so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is
240000
Step-by-step explanation:
Each month, it rains for no more than 30 days. Write an inequality that represents this situation. Let x represent the number of days it rains in a month.
An inequality is
Answer:
x ≤ 30
Step-by-step explanation:
Use the symbol ≤ which means less than or equal to-
x ≤ 30
the greatest common factor of 12x-18
Answer:
6
Step-by-step explanation:
The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.
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