Answer:
It would be (6,-6)
Step-by-step explanation:
Hope this helps.
I NEED HELP PLEASE QUICKLY FOR MY TEST I BEG YOU GUYS PLEASE!!
Square RSTU is shown below with a line AB drawn through its center. If the square is dilated using a scale factor of 4 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line AB in the drawing below? (10 points)
Answer:
the line will remain in the same place
Step-by-step explanation:
Answer:
Give the other person brainliest :)
Step-by-step explanation:
Just trying to help
If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
A 13 foot long ladder leans against a house. the bottom of the ladder is pulled away from the house a constant rate of 2 feet per second. a. how fast is the top of the ladder moving down the side of the house when it is 12 feet above the ground? b. what is the rate of change of the area enclosed by the ladder and the house when the top of the ladder is 12 feet above the ground? c. what is the rate of change of the angle between the ladder and the ground when the top of the ladder is 12 feet above the ground?
a. The top of the ladder is moving down at 5/12 ft/s.
b. The area enclosed is changing at -25/24 sq ft/s.
c. The angle is changing at approximately -0.347 radians per second.
a. The top of the ladder is moving down the side of the house at a rate of 5/12 ft/s.
Using the Pythagorean theorem, differentiate
\(x^2 + y^2 = 13^2. At y = 12, x = √(13^2 - 12^2) = 5.\)
Solve for dy/dt to get -5/12 ft/s.
b. The rate of change of the enclosed area is 24/5 sq ft/s.
Differentiate the area formula
\(A = (1/2)xy. At y = 12, x = 5.\)
Substitute these values and differentiate with respect to time to get \(dA/dt = (1/2)(5)(-5/12) = -25/24 sq ft/s.\)
c. The rate of change of the angle is approximately -0.347 radians per second.
Use trigonometry to
\(find θ = arctan(y/x). At y = 12, x = 5, so θ ≈ arctan(12/5) ≈ 1.176\) radians. Differentiate with respect to time to find dθ/dt = -5/144π radians/s.
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18 The diagram shows a rectangular garden path. 600 cm Wasim is going to cover the path with paving stones. Each paving stone is a square of side 30 cm. Each paving stone costs £2.50 Wasim has £220 to spend on paving stones. Show that he has enough money to buy all the paving stones he needs. 120 cm
Answer:
Step-by-step explanation:
A = 600 x 120 = 72 000 cm^2
Area of a paving stone = 30^2 = 900 cm^2
number of paving stone = 72 000 : 900 = 720 : 9 = 80
Total cost = 2.50 * 80 = £200.00
Pls help ill paypal 50 bucks if right if you explain 100 bucks
Answer:
blank 1: toby
blank 2: 4
Step-by-step explanation:
if im right i dont want ur money
Answer:
Clara will reach more people in 40 calls 1 by 1 more person
Step-by-step explanation:
Clara:
Her rate is 4 people in 10 calls
Using ratios
4 people x people
-------------- = -----------
10 calls 40 calls
Using cross products
4 * 40 = 10x
160 = 10x
Divide by 10
160/10 = 10x/10
16 =x
She will reach 16 people
Toby:
His rate is 3 people in 8 calls
Using ratios
3 people x people
-------------- = -----------
8 calls 40 calls
Using cross products
3 * 40 = 8x
120 = 8x
Divide by 8
120/8 = 8x/80
15 =x
He will reach 15 people
Clara will reach more people in 40 calls 16-15 = 1 by 1 more persons
If the mpc increases in value, what will happen to the slope of the consumption function?
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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What is the sum of the expression (8 − 4i) + (−2 + 7i)?
Answer:
Your answer is: \(6+3i\)
Simplify by combining the real and imaginary parts of each expression.
Step-by-step explanation:
Hope this helped : )
Describe a situation that could be represented by the expression . Then find the value of this 4 ÷ 1 1/3 expression and explain the meaning of that value in your situation.
The expression that represents the given problem is [x = 4/(11/3)] and the value of x is 1.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.So, the expression to represent the given problem:
Let, the answer to problem 4/(11/3) be 'x'.Now, the expression will be:
x = 4/(11/3)Now, solve for 'x' as follows:
x = 4/(11/3)x = 4 × 3/11x = 12/11x = 1.09Rounding off: x = 1
Therefore, the expression that represents the given problem is [x = 4/(11/3)] and the value of x is 1.
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Factor 6x^2+14x.
Please, help
Factor 2x from 6x².
2x (3x)+14x
Factor 2x from 14x.
2x (3x) + 2x (7)
Factor 2x from 2x (3x) + 2x (7).
2x(3x+7) ====> Answers
Answer:
(2x)(3x + 7)
Step-by-step explanation:
Hello!
We can factor this expression by taking out the GCF of both the terms.
The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x
Factor6x² + 14x2x(3x) + 2x(7)(2x)(3x + 7)The factored expression is (2x)(3x + 7)
If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.
Answer:
238 kg
Step-by-step explanation:
If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.
if two variables are correlated, a change in one must directly produce a change in the other. t or f
If two variables are correlated, a change in one must directly produce a change in the other. (False)
What is the Correlation?Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.
False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.
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Find (A) the leading term of the polynomial, (B) the limit as x approaches o, and (C) the limit as x approaches 00 p(x) = 16+2x4-8x5 (A) The leading term is (B) The limit of p(x) as x approaches oo is (C) The limit of p(x) as x approaches i
(A) The leading term is -8x^5.
(B) The limit of p(x) as x approaches 0 is 16.
(C) The limit of p(x) as x approaches infinity is negative infinity.
(A) The leading term of a polynomial is the term with the highest degree.
In this case, the highest degree term is -8x^5.
Therefore, the leading term of the polynomial p(x) = 16+2x^4-8x^5 is -8x^5.
(B) To find the limit as x approaches 0, we can simply substitute 0 for x in the polynomial p(x).
Doing so gives us:
p(0) = 16 + 2(0)^4 - 8(0)^5
p(0) = 16
Therefore, the limit of p(x) as x approaches 0 is 16.
(C) To find the limit as x approaches infinity, we need to look at the leading term of the polynomial.
As x gets larger and larger, the other terms become less and less significant compared to the leading term.
In this case, the leading term is -8x^5. As x approaches infinity, this term becomes very large and negative.
Therefore, the limit of p(x) as x approaches infinity is negative infinity.
In summary:
(A) The leading term is -8x^5.
(B) The limit of p(x) as x approaches 0 is 16.
(C) The limit of p(x) as x approaches infinity is negative infinity.
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Directions: calculate the following simple interest problems. write your answers in the space provided. use the formula I = Px R xT and round your answers to the nearest cent
a. P =$500
R = 8% T = 3 years
I = ____ ?
b. P =$50
R = 12% T = 1 years
I = ____ ?
a. P =$1000
R = 18% T = 24 years
I = ____ ?
The simple interests are:
a)$120 b)$6 c)$4320
a. To calculate the simple interest for P = $500, R = 8%, and T = 3 years, use the formula S.I = P x R x T:
S.I = $500 x 0.08 x 3
S.I = $500 x 0.24
S.I = $120
So the simple interest for the first problem is $120.
b. To calculate the simple interest for P = $50, R = 12%, and T = 1 year, use the formula S.I = P x R x T:
S.I = $50 x 0.12 x 1
S.I = $50 x 0.12
S.I = $6
So the simple interest for the second problem is $6.
c. To calculate the simple interest for P = $1000, R = 18%, and T = 24 years, use the formula S. I = P x R x T:
S.I = $1000 x 0.18 x 24
S.I = $1000 x 4.32
S.I = $4320
So the simple interest for the third problem is $4320.
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ou are conducting an experiment to determine which brand of fertilizer results in the greatest amount of fruit production by tomato plants. In this example, the dependent variable would be the
In this experiment, the dependent variable would be the amount of fruit production by tomato plants.
The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.
By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).
By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.
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write a function that represents the arithmetic sequence. b. graph the function. c. estimate how many minutes after midnight January 1st it takes for 100 babies to be baby
We can write the arithmetic sequence as -
{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is to write a function that represents the arithmetic sequence.
An arithmetic sequence is a sequence of the form -{a, a + d, a + 2d, a + 3d, .....}.
We can write the arithmetic sequence as -{2, 4, 6, 8, 10, 12, ....}.
We can write the nth term as : a{n} = 2 + 2(n - 1) = 2 + 2n - 2 = 2n.Refer to the graph of the function : a{n} = 2n.Therefore, we can write the arithmetic sequence as -
{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.
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O Personal math Iainer23 4 596 7 810VieFind the sum. You may find using a number line to be helpful. Express your answer as a simplified mixednumber, if necessary.Ste3+1/2VidТехThe result isPrit
We will find the sum of 3+ 1 1/2 with help of a
How many times can 57 go into 5000?
Answer:
87 times
Step-by-step explanation:
Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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what is the reminder of 46 / 8
Answer:
46/8 = 5 remainder 6
Step-by-step explanation:
8*5=40 is the biggest number that can go into 46, leaving a remainder of 46-40=6
Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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Please help me I'm stuck. I will give 30 points for this one. Given triangle ABC tilde triangle PQR and your scale factor Complete the hotspots for these similar triangles and show work
The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}
angle B = 68°
Given that the triangle ∆ABC is similar to the triangle ∆PQR.
(2). PQ/7.5cm = 12cm/18cm
PQ = (12cm × 7.5cm)/18cm {cross multiplication}
PQ = 5cm
(3). 13cm/BC = 12cm/18cm
BC = (13cm × 18cm)/12cm {cross multiplication}
BC = 19.5cm
(4). area of ∆PQR = 1/2 × 12cm × 5cm
area of ∆PQR = 6cm × 5cm
area of ∆PQR = 30cm²
Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
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Points p q and r lie on the circumference of a circle centre o angle pqr is 29 work out the size of the reflex angle por
The size of the reflex angle POR is 302 degrees.
Since the angle PQR is given as 29 degrees and it lies on the circumference of the circle, we know that it is an inscribed angle that intercepts the arc PR. The measure of an inscribed angle is half the measure of the intercepted arc. Therefore, we can find the measure of the arc PR as:
Arc PR = 2 × Angle PQR = 2 × 29 = 58 degrees
Since angle POR is a reflex angle that contains the inscribed angle PQR and the arc PR, we can find its measure by subtracting the measure of angle PQR from 360 degrees:
Angle POR = 360 - Arc PR = 360 - 58 = 302 degrees
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What values of b satisfy 4(3b + 2)^2 = 64?
Answer:
The value of 0 can satisfy b.
Step-by-step explanation:
4(3b + 2)^2 = 64
(12b + 8)^2 = 64
(12b + 8)^2 = 64
144b + 64 = 64
144b + 64 - 64 = 64 - 64
144b = 0
144b / 144 = 0 / 144
b = 0
So, the value of 0 can satisfy b.
Answer:
b = \(\frac{2}{3}\) or b = -2
Step-by-step explanation:
4(3b + 2)^2 = 64
Divide by 4 on both sides
(3b + 2)^2 = 16
Square root both sides
√(3b + 2)^2 = √16
3b + 2 = ±4
Subtract 2 on both sides
3b = ±4 - 2
Divide by 3 on both sides
b = (±4 - 2)/3
If 4 is positive, b is \(\frac{2}{3}\)
If 4 is negative, b is -2
Find the value of x when 6- 2x = 5x - 9x + 8.
Answer:
x=1
Step-by-step explanation:
you want to simply the equation. Reorder the terms. combine the like terms. solve it. solve it for the variable. move all the terms to the left that contain an x. add 4x to each side. combine the like terms. add -6 to each side. combine the like terms. then decide each side by 2 and simplify the answer and you get x=1
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
x 1 2 3 4
f(x) 3 9 27 81
Arithmetic, common difference = 3
Arithmetic, common difference = 6
Geometric, common ratio = 3
Geometric, common ratio = 6
Answer:
C. Geometric, common ratio = 3
Step-by-step explanation:
Got it right
Answer:
C
Step-by-step explanation:
Two step equation help me pls step by step
The questions 36 and 37
Answer:
Step-by-step explanation:
SOLVING
================================================================
Question 36
6=-2(7-c)
Use distribution to multiply -2 by parenthesis
6=-14+2c
Add to both sides 14
20=2c
Divide 2 into both sides
10=c
Question 375(h-4)=8
Use distribution to multiply 5 by the parenthesis
5h-20=8
Add to both sides 20
5h=28
Divide 5 into both sides
\(h=\frac{28}{5}\)
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Use the linear combination method to solve the system of equations. –3x + 8y = 16 3x + 4y = 8 What is the value of x? –1 0 1 2
Answer:
B. 0
Step-by-step explanation:
Your welcome :)
Answer:
b.0
Step-by-step explanation:
i got it right
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
2 cm
Volume = [?] cm³
3 cm
Volume = 66 cm³
2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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If B is the midpoint of AC, what are the coordinates of C?
Answer:
(3,2.5)
Step-by-step explanation:
Since the coordinates of A is (1,1) and the coordinates of B is (5,4), the x coordinates of C would be in the middle of 1 and 5, which can be solved by doing (1+5)/2=3. Therefore the x coordinate of C is 3. The same goes for the y coordinate so it would be (1+4)/2=2.5. Therefore the coordinates of C are (3,2.5)