The sum of two numbers is 84. The square of the first number is 6 more than the second number
Write a system of equations to find the value of x the first number, and y, the second number.
y = x2 +
Answers
Answer:
\(x + y = 84\)
\(x^2 = 6 + y\)
Step-by-step explanation:
Given
x = First Number
y = Second Number
Required
Write a system of equations
Sum is 84
This is represented as:
\(x + y = 84\)
Square of first is 6 more than the second
This is represented as:
\(x^2 = 6 + y\)
Hence, the equations are:
\(x + y = 84\)
\(x^2 = 6 + y\)
Answer: for plato users
y = -x+ 84
y= x^2 + -6
Step-by-step explanation:
I just took the test
Related Questions
this question
find the value of x y and z
Answers
Answer:
x = 6
y = 24
z = there is no z?
Step-by-step explanation:
All angles of a polygon add up to 360 degrees
The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side
3y + 18 = 90
3y = 72
y = 24
15x + 30 + 10x = 180
25x = 150
x = 6
Some high school students made a rectangular prism-shaped box, shown in the figure, to bury in the ground as a time capsule at their school. They want to know how much space will be available. Find the volume of the rectangular prism.Question options:A) 348 cm3B) 432 cm3C) 729 cm3D) 512 cm3
Answers
SOLUTION
The rectangular prism is the same shape as a cuboid. The volume of a cuboid is defined as
\(\text{Volume of cuboid = length }\times breadth\times height\text{ }\)Hence the volume of the prism is
\(\begin{gathered} \text{Volume of prism = 6 }\times8\times9 \\ =432cm^3 \end{gathered}\)Hence the answer is option B.
Find the equilibrium vector for the transition matrix. 0.70 0.10 0.20 0.10 0.75 0.15 0.10 0.35 0.55 The equilibrium vector is __ (Type an integer or simplified fraction for each matrix element.)
Answers
The equilibrium vector for the transition matrix is [0.4, 0.2667, 0.3333].
The transition matrix given is:
0.70 0.10 0.20 0.10 0.75 0.15 0.10 0.35 0.55
'To find the equilibrium vector, we need to multiply the transition matrix by a vector of constants that would make the equation valid. The value of this vector of constants is given by:
(P-I)x = 0
Where P is the transition matrix and I is the identity matrix. The value of x is the equilibrium vector.
Let's write the augmented matrix:
(P-I|0) = 0.70-1 0.10 0.20 0.10 0.75-1 0.15 0.10 0.35 0.55-1
After subtracting the identity matrix from the transition matrix, we get the augmented matrix.
Using the Gauss-Jordan elimination method, we get 1 -0.08 -0.4-0.12 1 -0.28-0.18 -0.12 1
After row reducing the augmented matrix, we get the following equations:
x1 - 0.08x2 - 0.4x3 = 0-0.12
x1 + x2 - 0.28x3 = 0-0.18x1 - 0.12
x2 + x3 = 0
Solving these equations, we get
x1 = 1.2
x2 = 0.8
x3 = 2.
Using x1, x2, and x3 values, we can determine the equilibrium vector:
x = [1.2/3, 0.8/3, 2/3]
Simplifying the vector, we get the equilibrium vector as:
x = [0.4, 0.2667, 0.3333]
Thus, the equilibrium vector is [0.4, 0.2667, 0.3333].
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Find the values of x and y . Write your answer in simplest form.
Answers
Answer:
y = 4 root 3, x = 8
Step-by-step explanation:
A
company has the production function p(x, y) = 22x ^ 0.7 * y ^ 0.3
for a certain product. Find the marginal productivity with fixed
capital , partial p partial x
A company has the production function p(x,y)=22x70.3 for a certain product. Find the marginal productivity ap with fixed capital, dx OA. 15.4 OB. 15.4xy OC. 15.4 OD. 15.4 X VX IK 0.3 0.3 1.7 .
Answers
To find the marginal productivity with fixed capital, we need to calculate the partial derivative of the production function with respect to x (holding y constant). The correct answer would be option OB. 15.4xy.
Given the production function \(p(x, y) = 22x^0.7 * y^0.3\), we differentiate it with respect to x:
\(∂p/∂x = 0.7 * 22 * x^(0.7 - 1) * y^0.3\)
Simplifying this expression, we have:
\(∂p/∂x = 15.4 * x^(-0.3) * y^0.3\)
Therefore, the marginal productivity with fixed capital, partial p partial x, is given by \(15.4 * x^(-0.3) * y^0.3.\)
The correct answer would be option OB. 15.4xy.
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please help I don't get it
Answers
2. Using proportion, the value of x = 38, the length of FC = 36 in.
3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.
2. The proportion we would set up to find x is:
(x - 2) / 4 = 27 / 3
Solve for x:
3 * (x - 2) = 4 * 27
3x - 6 = 108
3x = 108 + 6
Simplifying:
3x = 114
x = 114 / 3
x = 38
Length of FC = x - 2 = 38 - 2
FC = 36 in.
3. The proportion we would set up to find x based on the angle bisector theorem is:
13 / 3x = 7 / (2x - 5)
Cross multiply:
13 * (2x - 5) = 7 * 3x
26x - 65 = 21x
26x - 21x - 65 = 0
5x - 65 = 0
5x = 65
x = 65 / 5
x = 13
Length of CD = 3x = 3(13)
CD = 39 cm
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Which expression is equivalent to -4x - 36?
A.4(x-9)
B. 2(2x-18)
C.-2(2x-18)
Answers
Answer:
-4(x+9)
Step-by-step explanation:
Identify the slope and y-intercept of each of the following. Please help ^^^^ a. y = x + 100 b. y = 2x - 5 c. y = 0.5x
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All 3 equations are in this form
(a)
y = x + 100
with slope m = 1 and y- intercept c = 100
(b)
y = 2x - 5
with slope m = 2 and y- intercept = - 5
(c)
y = 0.5x ( or y = 0.5x + 0 )
with slope m = 0.5 and y- intercept c = 0
y-inercept=100
b. y=2x-5
slope=2 y-intercept=5
c. y=0.5x
slope=0.5
What is the value of b in the equation (y^-9)^b =y45
Answers
Answer:
b = -5
Step-by-step explanation:
\(\begin{array}{rcll}(y^{-9})^{b} & = & y^{45}& \\y^{-9b} & = & y^{45} & \text{Multiplied exponents}\\-9b \ln y & =& 45 \ln y & \text{Took the ln of each side}\\-9b & = & 45 & \text{Divided each side by ln y}\\b & = & \mathbf{-5} & \text{Divided each side by -9}\\\end{array}\)
Solve for 2.
=
E
2
3
А
9
B
6
D
Answers
Answer:
9/3 = 15/x
45 = 9x
x=5
Let me know if this helps!
A ribbon 105 centimeters long is cut into two pieces. One of the pieces is four times longer than the other. What is the length, in centimeters of the shorter piece
of ribbon?
Type your answer as the number ONLY.
Answers
Answer:
21 cm
Step-by-step explanation:
The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.
105 cm/5 = 21 cm
The shorter piece is 21 cm.
_____
We assume you can figure out how to write only the digits of the number.
PLEASE SOLVE FOR BRAINLIEST
Answers
Answer:
1 question is 90 2 question is 28
Step-by-step explanation:
i used a calucalator
Answer:
x = 6, y = 128
Step-by-step explanation:
5x + 16° = 7x + 4°
5x - 7x = 4° - 16°
-2x = -12°
x = 6°
y + 6° + 7x + 4° = 180°
y + 6° +7(6) + 4 = 180°
y + 52° = 180°
y = 180° - 52°
y = 128°
i need to answer this question then find the matching graph
Answers
we have
\(\begin{gathered} 5a-2\ge8 \\ \text{solve for a} \\ 5a\ge8+2 \\ 5a\ge10 \\ a\ge2 \end{gathered}\)the solution is the interval {2, infinite)
In a number line the solution is the shaded area at right of a=2 (close circle)
therefore
the answer is
First option
.Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between 63.76 and 64.24 inches. The process that produces the piece yields a mean of 64 and a standard deviation of 0.1 inches. The distribution of output is normal. What percentage of the pieces will meet the length specs?
Answers
The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.
The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1
The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.
To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4
Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4
Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.
The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%
Therefore, the percentage of the pieces that will meet the length specs is 98.78%.
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write 10 rational numbers between -1/3 and 1/3
Answers
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
Ferris wheel in London; England It stands 135 meters tall with a The London Eye iS a giant diamederof 120 meters: It takes half an hour to complete one revolution form hlt) = A cos( Br D t0 model the height; h (in meters). Find cosine funclion of the (in minutes). Assume the passenger passenger riding the London Eye as a function of time 0. Sketch the graph of one period on the next page and is at the bottom of the wheel at time use it to help you answer the following questions and create your function What is a rider' height at m = 0 minutes? (Hint: It is not 0 meters) 2. How long does it take for a rider to reach the top? What is the rider's height at that time? What is the period of this function? Use the period to find What is the vertical shift and amplitude of this function? 5 . Find The Equation Of Your Cosine Function, Use your function to find a rider's height at =21minutes. Sketch the graph ofyour function (This helps to answer the previous questions)
Answers
The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.
1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.
2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.
3. The period of the cosine function is T = 30 minutes.
4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.
5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.
In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.
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suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600 . if 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams? round your answer to four decimal places.
Answers
For a sample of born babies' weight in a large hospital, probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams is equals to 0.5390.
We have a sample of born babies' weight in a large hospital.
Mean of weight = 4090 grams
Variance of weight = 31300
Standard deviations = 560
Sample size or included babies = 64
standard error = \(\frac{560}{\sqrt(64)}\) = 70
We have to determine probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams. Let the population mean would be \(\mu\). Now, the probability, \(P ( \bar X - \mu > 43 ) \). Using Z-score formula, \(Z = \frac{X -\mu}{\frac{\sigma}{\sqrt(n)}} \)
Substitute all known values then, z= ± 43/70, z= ± 0.614
P(z<-0.614 or z>0.614) = P(z<-0.614)+ P(z>0.614)
=2 × 0.2695
=0.5390
Hence, required value is 0.5390.
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please help brainlist
Answers
Answer:
B
Step-by-step explanation:
The answer is B because if a line goes through (0,0) then it is automatically proportional.
Each tie on the railroad tracks is perpendicular to both of the tracks. What is the relationship between the two tracks? Justify your answer.
Answers
join meet.go0 glecom/enx-zdda-hak
Answer:
-The ties of the railroad tracks are perpendicular to the rails and of the same length.
- This common length is the distance between the rails.
Step-by-step explanation:
Parallel lines are always the same distance apart for the entire length.
Which function's graph is shown below?
Answers
Answer:
B: y=sinx
Step-by-step explanation:
the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.
the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.
The answer is y = sin x!!
One of two supplementary angles measures 6 degrees less than twice
the other. How large are the angles?
Answers
Answer:
adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answers
Answer:
60 po
Step-by-step explanation:
kase na try ko na ehh
Answer:
The correct answer is 15 kilometers.
Step-by-step explanation:
We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.
In order to find this quantity, we simply need to divide 30 kilometers by 2.
30 ÷ 2 = 15
Therefore, the correct answer is 15 kilometers.
Hope this helps! :D
Help me please help help mee I’m going to get my head bashed and I’m going to get whooped please help!!
Answers
Explanation:
10 Quarters=$1.50
17 Dimes=$1.70
40 Nickles=$0.80
15 Pennies=$0.15
Add all of that together to get the answer.
-5(k + 6) + 7(k – 4)
Answers
Answer:
2k-58
Step-by-step explanation:
-5(k+6) + 7(k-4)
-5k-30+7k-28
2k-48
Determine sin(S) and sin(T).
R
12
5
13
T
Answers
Answer: sin S = 5/13, sin T = 12/13
Step-by-step explanation:
The value of the trigonometric expression sin(S) and sin(T) will be 5 / 13 and 12 / 13, respectively. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
sin (S) = TR / ST
sin (S) = 5 / 13
sin (T) = RS / ST
sin (T) = 12 / 13
The value of the trigonometric expression sin(S) and sin(T) will be 5 / 13 and 12 / 13, respectively. Then the correct option is B.
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A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.
Answers
Answer:
check online for more information
Write an Equation and solve.10. If tickets to a concert cost $18. How many tickets can you buy with $150?Let x =EquationX=
Answers
Let x = Number of tickets
So, the equation is
\(18x=150\)Solve for x:
\(\begin{gathered} \frac{18x}{18}=\frac{150}{18} \\ x=8.33 \end{gathered}\)Answer: x = 8.33
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.what is the solution set of this problem?
Answers
5(x + 27) >= 6(x + 26)
5x + 135 >= 6x + 156
-x >= 21
x <= -21
Answer: Choice B.
Is 0.72 repeating irrational or rational?
Answers
0.72 repeating as a fraction in simplest form is 9/11
rational
Step-by-step explanation:
p.72 repetition g is rational
use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
Answers
The coefficient of determination is 0.588 and the percentage of the total variation is 58.8%.
The coefficient of determination (r^2) refers to a measurement used to explain how much variability of one variable can be caused by its relationship to another related variable. It is the fit of goodness and measures how well a statistical model fits the observed data and is a number between 0 and 1. When the value of linear correlation coefficient r is known, the coefficient of determination can be computed simply by squaring r.
Hence if r = 0.767, then the coefficient of determination = r^2 = 0.588
As percentage of the total variation is same as the coefficient of determination (given in percentage) and is given by the R² value = 58.8%. Hence, about 58.8% of variation is explained by the linear relationship between the two variables.
Note: The question is incomplete. The complete question probably is: Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.767.
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