The product of five and the square of a number explain if it is linear or non linear and express this statement as a mathematical expression.Multiply five and the reciprocal of the quotient of a number and nine write as a mathematical expression, state if it is a linear or nonlinear expression
Answers
Weare given the expression:
"The product of five and the square of a number"
So we can write this in math form as:
5 times unknwon number squared
5 * x^2
where we represented the unknown number via the letter "x"
Notice that this letter (called variable in math terms) is squared.
Algebraic expressions that contain a variable to a power different from one, are NOT LINEAR.
This expression in particular that contains the letter (variable) x to the power "2" is referred as a quadratic expression.
Pure mathematical expression is:
\(5x^2\)We are also asked to represent the following in math terms:
"Multiply five and the reciprocal of the quotient of a number and nine"
in math terms we have a product (given by the order: "multiply"):
5 times the "reciprocal of the quotient of "x" and 9"
We first need to express the quotient they ask for: "a number and 9", representing the "number" with "x" as we did before:
quotient of number and 9 is: x / 9 (x divided by nine)
The "reciprocal" of this is the fraction "flipped-over": 9 / x (nine over x)
Then finally when we complete the expression we get:
5 times (9 / x) = 45/x
In pure math terms:
\(5\cdot\frac{9}{x}=\frac{5\cdot9}{x}=\frac{45}{x}\)As we see, in this case , the variable "x" appears in the "denominator" at the very end. Since the variable is in the denominator, the expression is NOT LINEAR. the variable doesn't appear in the numerator with exponent (power) "1" (one) . Having the variable in the denominator involves a "negative exponent" for the variable "x" then this expression is NOT LINEAR.
Related Questions
6 Q Find the area of the circle pictured above. Round your answer to the nearest tenth
Answers
Answer:
28.3 units^2
Explanation:
The area A of the circle is given by the formula
\(A=\pi(\frac{d}{2})^2\)where
π = 3.1415..
d = diameter of the circle.
Now, in our case d = 6; therefore,
\(A=\pi(\frac{6}{2})^2\)\(A=(3.1415)(3)^2\)\(A=(3.1415)(9)\)\(A=28.274\)Rounded to the nearest tenth this is
\(A=28.3\)HELLLLLLLLLLLLLPPPPPPPPPPPPP please
Answers
Subtract 1/8 minus 3/4
Answers
Answer: 5/8
Step-by-step explanation:
Let Y be a random variable. In a population, μ
Y
=90 and σ
Y
2
=52. Use the central limit theorem to answer the following questions. (Note: any intermediate results should be rounded to four decimal places) In a random sample of size n=50, find Pr(
Y
ˉ
<91). Pr(
Y
ˉ
<91)=0.8365 (Round your response to four decimal places) In a random sample of size n=166, find Pr(91<
Y
ˉ
<94). Pr(91<
Y
ˉ
<94)= (Round your response to four decimal places)
Answers
For n = 50, the standard deviation of the sampling distribution is σY/√n = 7.21. So, Pr(ˉY<91) = 0.8365, and for n = 166, the standard deviation of the sampling distribution is σY/√n = 2.82. So, Pr(91<ˉY<94) = 0.5987.
The central limit theorem states that the sampling distribution of the sample mean, ˉY, will be normally distributed with mean μY and standard deviation σY/√n, where n is the sample size.
The theorem states that, as the sample size increases, the sampling distribution of the sample mean will approach a normal distribution, regardless of the shape of the population distribution.
This means that we can use the normal distribution to calculate probabilities about the sample mean, even when we don't know the shape of the population distribution.
In this problem, we were able to use the central limit theorem to calculate the probability that the sample mean would be less than 91 and the probability that the sample mean would be between 91 and 94. These probabilities were calculated using the standard normal distribution, which is a table of probabilities for the normal distribution.
In this problem, we are given that μY = 90 and σY2 = 52. We are asked to find Pr(ˉY<91) and Pr(91<ˉY<94) for two different sample sizes, n = 50 and n = 166.
For n = 50, the standard deviation of the sampling distribution is σY/√n = 7.21. So, Pr(ˉY<91) = 0.8365.
For n = 166, the standard deviation of the sampling distribution is σY/√n = 2.82. So, Pr(91<ˉY<94) = 0.5987.
In conclusion, the central limit theorem allows us to use the normal distribution to approximate the sampling distribution of the sample mean, even when the population distribution is not normally distributed.
Learn more about central limit theorem here:
brainly.com/question/898534
#SPJ11
What is the area of this polygon in square units
Answers
The area of the polygon is 80 units².
What is a Polygon?
A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.
Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.
For triangle, DEF
Area = \(\frac{1}{2} bh\)
= \(\frac{1}{2}\) × 3 × 4
= 6 units²
For triangle BCD
Area = \(\frac{1}{2}bh\)
= \(\frac{1}{2}\) × 2 × 4
= 4 units²
For trapezoid ABFG,
Area = \(\frac{1}{2} (a + b) h\)
= \(\frac{1}{2}\) × (5.5 + 12) × 8
= 70 units²
Hence, total area = 6 + 4 + 70
= 80 units².
Therefore, the total area of the polygon is 80 units².
To learn more about polygons, refer to:
https://brainly.com/question/29757874
#SPJ4
What's the product of (3x2 + 7)(6x2 – 4x + 5).
Answers
Answer:
169 is the answer
Step-by-step explanation:
............
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
Answers
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
For more questions on adjacent sides, click on:
https://brainly.com/question/28394984
#SPJ8
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3, -9, 27, ____, ____, ____,...
a.
Multiply by 3; 81, 243, 729
b.
Multiply by -3; -81, 243, -729
c.
Multiply by -3; 81, 243, 729
d.
Multiply by 3; -81, -243, -729
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
b
Step-by-step explanation:
edge 2021
Help someone please its urgent
Answers
Answer:
D. 4
Step-by-step explanation:
\(f(3) = {3}^{2} - 3(3) + 4 = 9 - 9 + 4 = 4\)
Answer:
F(3) exists in the second graph where x is defined in the closed interval 1 and 3
Step-by-step explanation:
\(f(3) = {3}^{2} - 3(3) + 4 \\ \\ = 9 - 9 + 4 \\ f(3) = 4\)
Option C Is the solution
280= -8 (-14+×)
What's the solution??
Answers
Answer:
x = -21
Step-by-step explanation:
The first you have to do is distribut the -8 to the -14 and x. Once you do that, you get 280 = 112 - 8x. Next, you need to subtract 112 from each side, so you get 168 = -8x. Now, you divide -8 from each side and you get -21 = x. Hope this helps!
what transformations will make a rhombus onto itself
Answers
The transformations that make a rhombus onto itself are rotation by 180 degrees, reflection across its axes, and translation along parallel lines.
To make a rhombus onto itself, we need to apply a combination of transformations that preserve the shape and size of the rhombus. The transformations that achieve this are:
Translation:
A translation is a transformation that moves every point of an object by the same distance and direction. To maintain the rhombus shape, we can translate it along a straight line without rotating or distorting it.
Rotation:
A rotation is a transformation that rotates an object around a fixed point called the center of rotation. For a rhombus to map onto itself, the rotation angle must be a multiple of 180 degrees since opposite sides of a rhombus are parallel.
Reflection:
A reflection is a transformation that flips an object over a line, creating a mirror image. To preserve the rhombus shape, the reflection line should be a symmetry axis of the rhombus, passing through its opposite vertices.
By applying a combination of translations, rotations, and reflections along the proper axes, we can achieve the desired result of making a rhombus onto itself.
for such more question on transformations
https://brainly.com/question/24323586
#SPJ8
Please help and explain
Answers
Answer:
Possible b that what I thank it is
Step-by-step explanation:
A wallet costs $50 to produce. If the manufacturer wants a 70% markup based on cost, what should be the selling price of the wallet?
Answers
The length of a rectangle is 3ft longer than its width. If the perimeter of the rectangle is 66ft , find its length and width.
Answers
For width:
66 = 2w + 2(3+w)
66 = 2w + 6 + 2w
60 = 2w + 2w
60 = 4w
15 = width
For length:
3 + 15 = 18
The length is 18 and the width is 15
Need An Answer ASAP ... THANK YOU !!!
Answers
Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia. a)Cuántas filas de limones habrá? b)Sobrarían algunos arbolitos? c)cuántos?
Answers
Answer:
a) El número de filas de limones es \(n = \sqrt{361} = 19\). Es decir, se necesitan 19 filas de árboles.
b) No sobran árboles.
c) 0 árboles.
Step-by-step explanation:
Dado que las plantas de limón deben cubrir un terreno cuadrado, entonces se debe satisfacer que la siguiente condición:
\(n^{2} \le 361\)
Donde \(n\) es el número de filas de árboles de limón.
Si \(n < 19\), entonces sobrarán árboles.
a) El número de filas de limones es \(n = \sqrt{361} = 19\). Es decir, se necesitan 19 filas de árboles.
b) No sobran árboles.
c) 0 árboles.
The ratio of yes votes to no votes was 5 to 7. If there were 10,092 total votes, how many yes votes were there?
Answers
Answer:
4,205
Step-by-step explanation:
5 + 7 = 12
10,092 ÷ 12 = 841
multiplier for the ratio is therefore 841.
5:7 is yes:no
since you want the number of yes votes, u take the 5 and multiply it by the multiplier found before.
5 × 841 = 4,205 yes votes.
Help me please
Can someone answer number 4 please?
Will give brainlest
Answers
The measures of angles 4 and 5 are:
∠5 = 104°
∠4 =76°
How to find the measures of the angles?On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.
Then we can write the sum:
∠1 + ∠2 = 180°
(3x + 5) + (2x + 10) = 180
5x + 15 = 180
5x = 180 - 15
x = 165/5 = 33
the measure of angle 5 is the same one of angle 1 then:
∠5 = (3*33 + 5)° = 104°
And angle 4 is supplementary of angle 1, then:
∠4 + 104° = 180°
∠4 = 180 - 104= 76°
These are the measures
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
In the figure the distances are: AC= 10m, BD=15m and AD=22m. Find the distance BC
Answers
AD-BD=22-15=7
AB is equal to 7.
AD-AC=22-10
AB is equal to 12.
AB+CD=7+12=19.
AD-(AB+CD)=22-19=3
Answer:
3
Step-by-step explanation:
As you can see from the image attached, the length of BC = 3 because:
AC= 10m, BD=15m and AD=22m
When we add up AC + BD = 25 but the length of AD is 22, the 3 extra from the sum of AC + BD is the length of BC.
HELPP!! PLEASE ITS DUE SOON
Zoe throws a dart at a target 9 times. She hits the bullseye all 9 times.
What is the relative frequency of Zoe hitting the bullseye?
Answers
Answer:
100%
Step-by-step explanation:
Assuming Zoe throws a dart at a target 9 times. The relative frequency of Zoe hitting the bullseye is 100%.
Relative frequencyRelative frequency=Number of times a dart is throwed/Number of times the bullseye is hits×100
Where:
Number of times a dart is throwed=9 times
Number of times the bullseye is hits=9 times
Let plug in the formula
Relative frequency=9/9×100
Relative frequency=100%
Inconclusion the relative frequency of Zoe hitting the bullseye is 100%.
Learn more about relative frequency here:https://brainly.com/question/3857836
Answer these questions it’s for my math! Please do all the days!
Day 1
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 2
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Day 3
how many times do you flush the toilet?
how many mins do you shower?
How many mins do you use the kitchen faucet?
How many mins do you use for the bathroom faucet?
How many times do you use the dishwasher?
How many times do you use the laundry machine?
Answers
Answer:
Day 1
4 times
8 mins
1 time
0 times
1 time
0 times ( I never use it)
Day 2
2 times
5.30 mins
0 times
2 times
0 times
0 times
Day 3
5 times
0 mins
0 times
2 times
1 time
0 times
Step-by-step explanation:
Hope it helped you
Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained
Answers
Answer:
6/10 kg
Step-by-step explanation:
Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained
Hence:
Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece
Total kg = 2 kg
Hence,
Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg
Lowest common denominator = 10
2 kg - (4 + 5 + 5/10)
2kg - (14/10)kg
2 kg - 1 4/10 kg
= 6/10 kg
The weight of the fourth piece =
6/10 kg
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
Answers
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
Learn more about Nash equilibrium from
https://brainly.com/question/34120544
#SPJ11
Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ
O D. YZ
SUBMIT
please help
Answers
None of the options are correct. And the given triangle is a right-angle triangle.
Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,
Thus, None of the options are correct. And the given triangle is a right-angle triangle.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
The prism below is made of cubes that measure 1/2 of a centimeter on one side. What is the volume?
Answers
The volume of the prism attached in the figure is calculated to be
A. 9/4 cubic cm
How to solve for the volume of the prismThe prism is formed by cubes having a dimension of 1/2 of a centimeter
Using this dimension it can be deduced from the figure that the
the width has 2 units = 2 * 1/2 = 1 cm
the length has 3 units = 3 * 1/2 = 1.5 cm
the height has 3 units = 3 * 1/2 = 1.5 cm
volume of a prism is solved by the formula
= length * width * height
= 1.5 * 1 * 1.5
= 9/4 cubic cm
the volume of the prism is 9/4 cubic units
Learn more on volume of a prism at:
https://brainly.com/question/23766958
#SPJ1
Find the length of the curve defined by from x = = 2 to x = 10. y = 6x³/² + 3
Answers
The length of the curve value of xi into the function f(x) = 6x²(3/2) + 3
To find the length of a curve defined by a function, use the arc length formula. For a curve defined by y = f(x), the arc length between x = a and x = b is given by:
L = ∫[a, b] √[1 + (f'(x))²] dx
The curve defined by y = 6x³(3/2) + 3, and to find the length of the curve from x = 2 to x = 10.
Find the derivative of y with respect to x:
y = 6x²(3/2) + 3
y' = (9/2)x²(1/2)
substitute these values into the arc length formula and integrate from x = 2 to x = 10:
L = ∫[2, 10] √[1 + ((9/2)x²(1/2))²] dx
Simplifying the expression inside the square root:
L = ∫[2, 10] √[1 + (81/4)x] dx
To evaluate this integral, use various integration techniques such as substitution or numerical methods like Simpson's rule or the trapezoidal rule.
If choose to use numerical methods approximate the integral by dividing the interval [2, 10] into smaller subintervals and applying the chosen method.
The length using the trapezoidal rule with 10 subintervals:
Δx = (10 - 2) / 10 = 0.8
L = Δx/2 × [f(x0) + 2f(x1) + 2f(x2) + ... + 2f(x9) + f(x10)]
where xi = 2 + iΔx
L = 0.4 × [f(2) + 2f(2.8) + 2f(3.6) + ... + 2f(9.2) + f(10)]
To know more about length here
https://brainly.com/question/2497593
#SPJ4
find the coordinates of the ends of each latus rectum and equations of asymptotes.
Answers
For conic section of the form:
\((\frac{x^2}{a^2})-(\frac{y^2}{b^2})=1\)The Ends of the Lactus Rectum is given as:
\(L=(ae,\frac{b^2}{a}),L=(ae,\frac{-b^2}{a})\)The e in the equation above is the Eccentricity of the Hyperbola.
This can be obtained by the formula:
\(e=\frac{\sqrt[]{a^2+b^2}}{a}\)Thus, comparing the standard form of the conic with the given equation, we have:
\(\begin{gathered} \frac{(y+8)^2}{16}-\frac{(x-3)^2}{9}=1 \\ \text{This can be further expressed in the form:} \\ \frac{(y+8)^2}{4^2}-\frac{(x-3)^2}{3^2}=1 \\ By\text{ comparing this with:} \\ \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \\ We\text{ can deduce that:} \\ a=4;b=3 \end{gathered}\)Then, we need to obtain the value of the Eccentiricity, e.
\(\begin{gathered} e=\frac{\sqrt[]{a^2+b^2}}{a} \\ e=\frac{\sqrt[]{4^2+3^2}}{4} \\ e=\frac{\sqrt[]{16+9}}{4} \\ e=\frac{\sqrt[]{25}}{4}=\frac{5}{4} \end{gathered}\)Hence, the coordinate of the ends of the each lactus rectum is:
\(\begin{gathered} L=(ae,\frac{b^2}{a}),L=(ae,\frac{-b^2}{a}_{}) \\ L=(4\times\frac{5}{4},\frac{3^2}{4}),L=(4\times\frac{5}{4},\frac{-3^2}{4}) \\ L=(5,\frac{9}{4}),L=(5,\frac{9}{4}) \end{gathered}\)A video rental company offers a plan that includes a membership fee of $11 and charges $4 for every DVD borrowed. They also offer a second plan, that costs $47 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is the total cost of either plan?
Answers
Answer:
9
Step-by-step explanation:
47-11=36
36/4=9
18. STREETS If Pine Street is parallel to Locust
Street, find the values of a and b. (Lesson 3-7)
Answers
Answer:
b=98 and a=82
Step-by-step explanation:
b and 98 are corrisponding angles which means that they are both 98
a+b=180 because it is a straight line
a+98=180 subtract 98 from both sides a d you get a=82
preform the indicated opperation 5 1/6 - -2 2/3
Answers
Answer:
7 5/6
Step-by-step explanation:
Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.
Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.
And 1/6+4/6=5/6.
Therefore the answers is 7 5/6.