Answer:
cousin: m-3
uncle: 5m
together: 6m-3
Step-by-step explanation:
if her cousin is 3 years younger, they would be m-3. since their uncle is her age times 5, he would be 5m. add those and you get 5m+m-3. combine the m's (and get 6m), then add the -3 to get 6m-3
Answer:
her younger sister's age: (m - 3)years , her uncles age ( 5m )
sum of their ages : m + m - 3 + 5m = 7m - 3
If y varies directly with x and y = 84 when x = 12, find y when x = 11.
Answer:
y= 77
Step-by-step explanation:
Write down the equation for direct proportion.
y= kx, where k is a constant.
Find the value of k.
When x= 12, y= 84,
84= k(12)
12k= 84
k= 84 ÷12
k= 7
Substitute the value of k into the equation.
y= 7x
When x=11,
y= 7(11)
y= 77
what is the slope of the line wuth the equation 2x-3y=4
Answer:
Really dude?
Ok
In form ax + by = c
The slope is equal to (-a/b)
And in this equation b is - 3 and a is 2 so
Slope is equal to 2/3
!!!!! PLEASE HELP !!!!!!!!!
how do I find the range with these numbers?
Answer:
The numbers on the left side can represent the x axis. The y can be represented with the number in the right. As a result, if you graph each and every point, simply find the number per x that is the lowest and highest. Meaning, find the lowest and highest vertical point or just look at each number.
22 + 54x = -20 + 60x and -5x - 16 = 8x - 3
Answer:
1.) 42/55 x = the quotient. 2.) x = -1
Step-by-step explanation:
Answer:
x = - 7/9 and x = - 1
Step-by-step explanation:
Equation 1:
Step 1:
22 + 54x = - 20 Equation
Step 2:
54x = - 42 Subtract 22 on both sides
Step 3:
- 42 ÷ 54 Divide
Answer:
x = - 42/54 or - 7/9
Equation 2:
Step 1:
- 5x - 16 = 8x - 3 Equation
Step 2:
- 16 = 13x - 3 Add 5x on both sides
Step 3:
- 13 = 13x Add 3 on both sides
Step 4:
- 13 ÷ 13 Divide
Answer:
x = - 1
Hope This Helps :)
The melting point of ice is 0 degree celsius. during a chemistry experiment, jill observed ice melting within 2 degrees celsius of this measurement. find the range of temperature that jill observed. define a variable, write an inequality, and solve.
The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.
What do you mean by melting point?
melting point, temperature at which the solid and liquid forms of a pure substance can exist in equilibrium. As heat is applied to a solid, its temperature will increase until the melting point is reached.
The melting point of a liquid is the temperature at which the liquid transforms from a solid to a liquid under atmospheric pressure. This is the location where the liquid and solid phases are equally present. The substance's melting point varies with pressure as well and is reported at standard pressure.
As the melting point is 0 °C.
So, it melts at 2 C. It can melt from 0 °C – 2 °C to 0 °C + 2 °C.
Range = [-2, 2] in °C.
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The area of a cicpe on the too of a cylinder is 254.34 units squared.If the cylinder is a s tall as the diameter of the circle ,what is volume
The volume of the cylinder is V = 254.34 * d.
If the diameter of the circle (the base of the cylinder) is "d", then the height of the cylinder is also "d". To find the volume of the cylinder, we need to find the radius of the circle first, then multiply it by itself, multiply by Pi, and finally multiply by the height of the cylinder.
The area of the circle can be found using the formula: A = Pi * r^2, where r is the circle's radius. So, solving for r, we have r = sqrt(A/Pi), where A is the area of the circle (254.34 in this case).
So, the radius of the circle is:
r = sqrt(254.34 / Pi)
And the volume of the cylinder is:
V = Pi * r^2 * d = Pi * (sqrt(254.34 / Pi))^2 * d = 254.34 * d
Note that the height "d" is equal to the diameter of the circle, so the final equation is:
V = 254.34 * d.
Since the height "d" is not specified, the volume cannot be determined.
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f(n) = 4(n-1) + 7
fine the first three(3) terms in the sequence show all work
Answer:
f(n) = 4(n-1) + 7
First term
f(1) = 4(1-1) +7 = 0 + 7 = 7
Second term
f(2) = 4(2-1) + 7
= 4(1) + 7 = 4 + 7 =11
Third term
f(3) = 4(3-1) + 7
= 4(2) + 7
= 8 + 7 = 15
Therefore the first three terms of the sequence are 7, 11 and 15.
Hope this helps
Please help me this is geometry
The measure of the angle 2 is 133° and the measure of the angle 3 is 47°.
Classification AnglesThey are a lot of classifications for angles like: complementary angles, supplementary angles, right angles, and others. See below:
complementary angles - two angles whose the sum is equal to 90°.supplementary angles - two angles whose the sum is equal to 180°.right angles - angles whose the measure is 90°.From the figure, it is possible to see that:
- the angles 1 and 3 are supplementary angles
- the angles 2 and 3 are supplementary angles
Therefore, if angle1 is 133°, you have:
angle_1 + angle_3 = 180
133 + angle_3 = 180
angle_3=180-133
angle_3=47°
If angle3 is 47°, you have:
angle_3 + angle_2 = 180
47+ angle_2 = 180
angle_2=180-47
angle_2=133°
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Solve the right triangle
Answer
measure of angle A: 28 degrees
BC ≈ 13.3
BA = 28.3
hope this helps
Step-by-step explanation:
angle A
90- 62 = 28
angle A = 28
BC
tan (A) = BC / 25
(25) tan 28 = BC / 25 (25) multiply 25 on both sides to cancel it out from BC
13.292735 = BC
BC ≈ 13.3
BA
BA^2 = 13.3^2 + 25^2 Pythagorean theorem
BA ≈ 28.3
If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)
Nathen packs 25 boxes in 2 hours. How many boxes can he pack in his 8 hour shift?
assuming that {f(t), f(s)} are a laplace transform pair, where f(s) = 3s 1 s 2 s 1 , determine the values of f(0 ) and ˙f(0 ). hint: apply the initial value theorem approach to ¨f(t).
The answer to this question is 0.
Apply the initial value theorem approach to calculate the values of ˙f(0) and f(0 ).
Imagine that, in this problem, f(t) and f(s) are a Laplace transform pair. These transform pairs are defined by:
f(t) = 3s 1 s 2 s 1 ,
and ˙f(0 ) = 0
The values of f(0 ) and ˙f(0 ) are given by: f(0 ):
s 1 = 3, s 2 = 1
and
\(f 0 = \frac{1}{2} (t - 0) - 0\)
First we must find a solution to the initial value problem. To do this, we need to find the functions ˙f(0 ) and g(t). The first thing we need is some knowledge about convolution. A convolution is simply the operation of taking the derivatives of two functions and adding them together, so it can be thought of as applying the difference operator (sometimes called "Difference") dx/dt
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I need to describe and fix this error
9+(-6)=-3
Answer: 9 - 6 = 3
Step-by-step explanation:
Point P was rotated by 120(the center of rotation is indicated)
Answer:
C
I think it is
hope this helps
Here the rows for 3 and 7 are highlighted. How would you find the multiple of 3 that would form a ratio with 35 that is equivalent to 3 7 ? 1. Find in the row for 7. 2. Follow the column up until you reach the row for . 3. The number forms a ratio to 35 that is equivalent to StartFraction 3 Over 7 EndFraction.
Answer:
answers are 35, 3, and 15
Step-by-step explanation:
the first blank is 35
the Second blank is 3
the thired blank is 15
have a nice day!
35, 3, and 15 trust me
which of the following is the most widely used method for rating attributes?
The most widely used method for rating attributes is the Likert scale.
The Likert scale is a popular method for measuring attitudes, opinions, and perceptions of individuals towards a particular attribute or construct.
It consists of a series of statements or items that respondents are asked to rate on a scale typically ranging from "Strongly Disagree" to "Strongly Agree" or from "Very Unsatisfied" to "Very Satisfied."
The scale can vary in the number of response options, but it usually has five or seven points.
The Likert scale provides a way to quantify subjective responses and allows researchers to gather data on people's preferences, opinions, and perceptions.
It is widely used in various fields such as psychology, social sciences, market research, and customer satisfaction surveys.
Therefore, the Likert scale is the most widely used method for rating attributes.
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THIS WAS DUE LAST WEEK
Answer:
A is correct.
A'B' = (1/2)(34) = 17
The measure of angle A stays the same, 28°.
Which of the following graphs has a slope of 4 and a negative y-intercept? (Lesson 3-8)
Answer:
B
Step-by-step explanation:
The answer is B. This is because it crosses Y at a negative value, and as can be seen in rise over run, X would equal 4.
Answer:
The answer is B. This is because it crosses Y at a negative value, and as can be seen in rise over run, X would equal 4.
Dan had $10. He bought x pencils, each costing y cents .How much money did Dan have left?
Answer: Unknown...Well, just simplify.
Step-by-step explanation:
Since it says x and y, that is NOT a number. So the real question is, how can we solve the problem without numbers? Well that's pretty simple and easy. Since we don't know the number, we will just have to simplify. With no actual number, simplifying is basically the answer. Unless, you can find out the answer.
Dan has the amount of money left would be 10 - xy which is the form of an expression.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have to determine the amount of money Dan has left.
We must only generalize since we don't know the exact quantity. Having no method of solving,
Dan had $10. He bought x pencils, each costing y cents which are given in the question.
quantity of pencils = x and cost of pencil = y
As per the given condition, the required solution would be:
⇒ remaining amount = 10 - quantity of pencils × cost of pencil
⇒ remaining amount = 10 - (x) × (y)
⇒ remaining amount = 10 - xy
Therefore, Dan has the amount of money left would be 10 - xy which is the form of an expression.
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Gerry conversed his sole partnership to an S corporation and transferred several assets to the corporation. The assets cost $19,570 and had an adjusted basis of $9,600. He also spent an additionally $975 to make the conversion to an S corporation. What is his beginning basis in the S corporation?
Gerry's beginning basis in the S corporation is $20,545.
To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.
The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.
The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.
To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.
In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.
Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.
This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.
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2 to the power of 46
is how many times as many as 2 to the power of 42,
Answer: 16
Step-by-step explanation:
Suppose that y varies inversely as the square of x, and that y = 3 when x = 17. What is y when x = 3? Round your answer to two decimal places if necessary.
we know that
If y varies inversely as the square of x
then
the equation is equal to
\(yx^2=k\)where
k is the contant of proportionality
step 1
Find the constant k
For y=3, x=17
substitute the given values
\(\begin{gathered} 3(17^2)=k \\ k=867 \end{gathered}\)we have the equation
\(yx^2=867\)step 2
Find the value of y when the value of x=3
substitute in the equation
\(\begin{gathered} y3^2=867 \\ y=\frac{867}{9} \\ y=96.33 \end{gathered}\)Add (3 - 5i) (-2 8i). sum of real parts: sum of imaginary parts: i
The multiple of I is the imaginary portion. It is customary to write z = a + bi, where a represents the real part and b represents the imaginary part, to represent complex numbers. where b is the imaginary part and a represents the real part. Sum of Real parts and sum of imaginary parts i is (1 + 3i)
Explain about imaginary parts?A and b are referred to as the "real component" and "imaginary part," respectively, of the complex number z=a+bi. If a=0, the complex number is "purely imaginary," and if b=0, it is a real number.
Real components add up to 1, while imaginary parts add up to 3i.
A complex number is stated in its standard form as z = x + iy, where x represents the real part and y represents the imaginary part because it is connected to the imaginary axis.
Considering the formula (3 - 5i) + (-2 + 8i).
Collect similar phrases into real and fictitious parts as follows:
= (3 - 5i) + (-2 + 8i)
= (3 - 2 - 5i + 8i)
=(1 + 3i)
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What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely
Answer:
very likely
Step-by-step explanation:
a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2 − x 2 . what are the dimensions of such a rectangle with the greatest possible area?
To find the dimensions of the rectangle with the greatest possible area inscribed in the parabola y = 2 - x^2, we need to maximize the area function by determining the x-coordinate where the derivative of the area function is zero.
Let's consider a rectangle with its base on the x-axis, which means its height will be given by the y-coordinate of the parabola. The width of the rectangle will be twice the x-coordinate. Therefore, the area of the rectangle is given by A = 2x(2 - x^2).
To maximize the area, we take the derivative of A with respect to x and set it equal to zero to find critical points. Differentiating A, we get dA/dx = 4 - 6x^2.
Setting 4 - 6x^2 = 0 and solving for x, we find x = ±√(2/3).
Since the rectangle is inscribed, we consider the positive value of x. Therefore, the x-coordinate of the upper corner of the rectangle is √(2/3). Plugging this value back into the equation of the parabola, we get y = 2 - (√(2/3))^2 = 2 - 2/3 = 4/3.
Hence, the dimensions of the rectangle with the greatest possible area are a base of length 2√(2/3) on the x-axis and a height of 4/3.
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Given f (x) = 1/x+11, find the average rate of change of f (x) on the interval [3, 3+h]. Your answer will be an expression involving h.
The average rate of change of the function in the interval is of:
\(A = -\frac{1}{14(14 + h)}\)
What is the average rate of change?The average rate of change of a function f(x) over an interval [a,b] is given by:
\(A = \frac{f(b) - f(a)}{b - a}\)
In this problem:
The interval is [3, 3 + h], hence \(a = 3, b = 3 + h\).\(f(3) = \frac{1}{3 + 11} = \frac{1}{14}\)\(f(3 + h) = \frac{1}{3 + h + 11} = \frac{1}{14 + h}\)Then:
\(f(b) - f(a) = \frac{1}{14 + h} - \frac{1}{14} = \frac{14 - 14 - h}{14(14 + h)} = -\frac{h}{14(14 + h)}\)
\(A = \frac{-\frac{h}{14(14 + h)}}{3 + h - 3} = -\frac{-\frac{h}{14(14 + h)}}{h} = -\frac{1}{14(14 + h)}\)
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Rectangle PQRS will be reflected over the y-axis. What will be the coordinates of Q'M
Answer:
Coordinates for Q' Option (A) : (-5, 2)
According to the histogram, there are two possible values for the maximum number of hours studied. What are they?
Answer:
15
Step-by-step explanation:
because most children like to spend time and other children like an to not spent time on studying
The two possible values for the maximum number of hours studied are 6 hours and 8 hours.
Given,
A histogram with the number of hours on the x-axis and frequency on the y-axis.
We need to find the two possible values for the maximum number of hours studied.
What is a frequency?Frequency means the number of times an event occurs.
Example:
A, B, and C choose green balls.
D, E, M, and N choose red balls.
The frequency that a green ball is chosen is 3.
The frequency that a red ball is chosen is 4.
We have,
The histogram where the bar with the highest frequency is at 15 on the y-axis and the bar is between 6 to 8 hours on the x-axis.
So, we can say that the two possible values for the maximum number of hours studied are 6 hours and 8 hours.
Thus the two possible values for the maximum number of hours studied are 6 hours and 8 hours.
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Heather takes a 15 question exam. If she has an 87% chance to pick the correct answer, what is the probability of her getting exactly 12 out of 15 correct? Round your answer to two decimal places.
Provide your answer below:
The probability of Heather getting exactly 12 out of 15 correct can be found using the binomial probability formula:
P(X = 12) = (15 choose 12) * (0.87)^12 * (0.13)^3
= (15! / (12! * 3!)) * (0.87)^12 * (0.13)^3
= 455 * 0.087 * 0.0022
= 0.0828
Therefore, the probability of Heather getting exactly 12 out of 15 correct is 0.0828, or 8.28%.
To round this answer to two decimal places, we can use the following formula:
0.0828 * 100 = 8.28%
So the final answer is 8.28%.
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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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Let G be the set of all real numbers except -1. Define*on G by
a*b=a+b+ ab
for every a, b G.
i. Verify that*is an operation on G.
ii. Show that (G, *) is a group.
iii. Find the solution of the equation 2*x✶3=7 in the group G.
i. Closure:
Let's take any two real numbers a and b from G (except -1). We need to show that a b is also in G.
Since -1 is excluded from G, we can assume that a ≠ -1 and b ≠ -1.
Now, let's calculate a b:
a b = a + b + ab
Since a and b are real numbers, their sum (a + b) and their product (ab) are also real numbers. Thus, a b is a real number.
To show that a b is not equal to -1, we can assume that a b = -1 and solve for a and b:
a + b + ab = -1
ab + a + b + 1 = 0
(ab + a + b + 1) + (ab - a - b + 1) = 0
a(b + 1) + 1(b + 1) = 0
(a + 1)(b + 1) = 0
If a + 1 = 0 or b + 1 = 0, it would mean either a = -1 or b = -1, which contradicts the assumption. Therefore, a b ≠ -1, and we have closure.
ii. Associativity:
To show that is associative, we need to prove that (a b) c = a (b c) for any a, b, c in G.
Let's calculate the left side:
(a b) c = (a + b + ab) c
= (a + b + ab) + c + (a + b + ab)c
= a + b + ab + c + ac + bc + abc
Now, calculate the right side:
a (b c) = a (b + c + bc)
= a + (b + c + bc) + a(b + c + bc)
= a + b + c + bc + ab + ac + abc
Both sides are equal, so is associative.
Now that we have shown is an operation on G and it is associative, let's move to the next part.
iii. To find the solution of the equation 2 x 3 = 7, we need to find the value of x that satisfies the equation.
Using the definition of , we have:
2 x + 3 + 2x 3 = 7
Expanding further:
2x + 3 + 6x + 9 = 7
8x + 12 = 7
8x = 7 - 12
8x = -5
x = -5/8
Thus, the solution to the equation 2 x 3 = 7 in the group G is x = -5/8.
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