Answer: x= all real numbers.
Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.
Answer:
8=8
Step-by-step explanation:
8+4x=2x+8+2x
combine like terms
8+4x=4x+8
subtract 4 from both sides
8=8
I HOPE THIS HELPED!!!!
a subset c of d contains all numbers that have digit 4 or digit 5 or both. what is the cardinality of c?
The cardinality of C, which is a subset of D, is 30.
To find the cardinality of subset C, we need to know the number of elements in it.
In this case, the subset contains all numbers that have the digit 4 or the digit 5, or both.
We can start by counting the numbers that have only the digit 4.
The numbers that have only the digit 4 are 4, 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, and 49.
There are 14 of these numbers.
Similarly, we can count the numbers that have only the digit 5.
The numbers that have only the digit 5 are 5, 15, 25, 35, 50, 51, 52, 53, 54, 55, 56, 57, 58, and 59.
There are 14 of these numbers as well.
Finally, we can count the numbers that have both the digit 4 and the digit 5.
The numbers that have both digits are 45 and 54. There are 2 of these numbers.
Therefore, the cardinality of subset c is 14 + 14 + 2 = 30.
Learn more about cardinality:
https://brainly.com/question/23976339
#SPJ11
Which of the following statements about the NCUA is correct?
a. The NCUA is similar to the FDIC, but it insures credit unions instead of banks.
b. The NCUA is an independent coalition of credit unions that works to protect investors.
c. The NCUA is the branch of the FDIC that insures credit unions.
d. The NCUA controls the amount of money banks have available to lend out.
Answer:
A.
Step-by-step explanation:
(A) The NCUA is similar to the FDIC, but it insures credit unions instead of banks.
edge2020
The first, second and fourth terms of a proportion are 16, 24 and 54 respectively. Find the third
term.
(a) 8
(b) 36
(c) 24
(d) 7.1
Answer:
Third term is 36
Step-by-step explanation:
According to the definition of proportion, if two sets of given numbers are in the same ratio, then the ratios are said to be directly proportional to each other
We use the symbol :: to denote proportion
So if
a:b :: c:d
Then a/b = c/d
We are given that first number = 16, second is 24 and the last is 54
Let the third number be x
We have that
16:24 :: x : 54
In other words
16/24 = x/ 54
Simplifying left side
2/3 = x/54
x = 2/3 x 54 = 36
Now, suppose we perform an experiment of tossing the coin 10 times where the head shows 4 times. Each toss is independent. Given this new information, find the a a posteriori pdf for W
The a posteriori pdf for W can be found using Bayes' theorem.
Bayes' theorem states that P(W|X) = P(X|W) * P(W) / P(X), where P(W|X) is the a posteriori probability of W given X, P(X|W) is the likelihood of X given W, P(W) is the prior probability of W, and P(X) is the marginal probability of X.
In this case, W is the probability of getting a head on a single toss, and X is the event of getting 4 heads in 10 tosses.
The likelihood P(X|W) can be found using the binomial distribution: P(X|W) = (10 choose 4) * W^4 * (1-W)^6
The prior probability P(W) is assumed to be uniform, so P(W) = 1.
The marginal probability P(X) can be found by integrating the likelihood over all possible values of W: P(X) = integral from 0 to 1 of P(X|W) * P(W) dW = integral from 0 to 1 of (10 choose 4) * W^4 * (1-W)^6 dW = 0.21
Therefore, the a posteriori pdf for W is P(W|X) = P(X|W) * P(W) / P(X) = (10 choose 4) * W^4 * (1-W)^6 / 0.21
This is the a posteriori pdf for W given the new information of tossing the coin 10 times and getting 4 heads.
Learn more about Posteriori
brainly.com/question/30473258
#SPJ11
Suppoe you wanted to reach Alpha Centauri (4. 4 ly from the Solar ytem) in 160 year How fat would you have to go, in km/hr?
To reach Alpha Centauri in 160 years, we need to travel by speed of 29,679,453.3 km/hr.
The Alpha Centauri set of stars is about 4.4 light-years from Earth. That means the trip takes 4.4 years at the speed of light.
160 years is (160/4.4) times as long as 4.4 years. If you're giving yourself (160/4.4) times as long to make the trip, then you only have to move (4.4/160) times the speed of light.
Speed of light = 1,07,92,52,849 km/hr
Required speed = (4.4/160) x (1,07,92,52,849) = 29,679,453.3 km/hr.
To know more about Alpha Centauri
https://brainly.com/question/9957818
#SPJ4
a rectangular pool is 8 feet wide and 12 feet long. a walk of uniform width surrounds the pool. if the total area of the walk and the pool is 320 square feet, how wide is the walk?
The walk is 4 feet wide
The width of the rectangular pool = 8 feet
The length of the rectangular pool = 12 feet
Let the width of the walkway be w
The combined length of the pool and walkway = 12 + 2w
The combined width of the pool and walk way = 8 + 2w
The total area of the walk and the pool = 320 square feet
Area = Length x Width
320 = (12 + 2w) ( 8 + 2w)
320 = 96 + 24w + 16w + 4w²
4w² + 40w + 96 - 320 = 0
4w² + 40w - 224 = 0
w² + 10w - 56 = 0
w² - 4w + 14w - 56 = 0
w(w - 4) + 14(w - 4) = 0
(w - 4)(w + 14) = 0
w - 4 = 0
w = 4
w + 14 = 0
w = -14
The width of the walk = 4 feet
Learn more here: https://brainly.com/question/24125339
3. (3, 5) and (k, 9), slope = 1/2
Linear relationships unit 3 lesson 10 grade 8 openuprespurces
Answer:
k = 11, if I understand the question.
Step-by-step explanation:
Please rephrase the question if my interpretation is incorrect. (BTW, isn't (k,9) a dog?)
======================
I'll assume that we want to find the value of k as given by the equation of a line that has a slope of (1/2).
Let's determine if we can establish an equation with what we know:
1. It goes through point (3,5), and
2. It has a slope of (1/2)
We'll look for a line with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
From (2) we know y = (1/2)x + b.
We can find b by using the one known point that lies on the line (3,5). Use y = (1/2)x + b, insert the point (3,5), and solve for b:
y = (1/2)x + b
5 = (1/2)(3) + b
5 = 1.5 + b
b = 3.5
The line is y = (1/2)x + 3.5.
Now use the point (k,9):
y = (1/2)x + 3.5
9 = (1/2)k + 3.5
(1/2)k = 5.5
k = 11
The point is (11,9) so k = 9
See the attached graph.
PLEASE HELP i need all answers answered show work on how you got the answer please
15. Express the radius of a circle, r, as a function of its circumference C, given C=πd, where d is the diameter of the circle. a. r=sqrt(c/π) b. C=πr^2 c. r=c /2π d. r=c/π
The radius of a circle as a function of the circumference is r = C/2π
What is circumference of a circle?A circle is a round-shaped figure that has no corners or edges.
The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
The circumference of a circle is expressed as;
C = πd
d is the diameter and C is the circumference
d = 2r
where r is the radius
Therefore ;
C = 2πr
divide both side by 2π
r = C/2π
Therefore the radius of circle with respect with the circumference is
r = C/2π
learn more about circumference of circle from
https://brainly.com/question/18571680
#SPJ4
Evaluate the expression when a = -6 and x =7 a-6x
Answer:
-48
Step-by-step explanation:
you put the -6 in the place of a, and put 7 in the place of x. you get -6-6x7. 6x7 is 42. -6-42 is -48.
Round each z-score to the nearest hundredth.A data set has a mean of x = 73 and a standard deviation of 10.8. Find the z-score for each of the following.(a) x = 85 _____(b) x = 95 _____(c) x = 50 _____(d) x = 75 _____
To determine the z-score of a raw data x, we have the formula below:
\(z=\frac{rawdata-\operatorname{mean}}{sd}\)Based on the question, our mean is 73 and standard deviation is 10.8.
a. x = 85 (raw data is 85)
Let's plug these values to the z formula.
\(z=\frac{85-73}{10.8}=\frac{12}{10.8}\approx1.11\)We subtracted the mean from the raw data first (85 - 73 = 12). Then, we divide the results by 10.8. The result is 1.11.
Hence, equivalent z-score of x = 85 is 1.11.
A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if Its radius is r=5.5ft, the height of the cylindrical portion is h=8.5ft, and the overall height is H=19.4ft ?
The volume of the storage bin, with a cylindrical portion and a conical top, is approximately 1153.07 cubic feet. Given dimensions are used to calculate the volumes separately and then added together.
To find the volume of the storage bin, we need to calculate the volumes of the cylindrical portion and the conical top separately, and then add them together.
Volume of the cylindrical portion:
V_cylinder = π * r^2 * h
Substituting the given values:
V_cylinder = π * (5.5ft)^2 * 8.5ft
Volume of the conical top:
V_cone = (1/3) * π * r^2 * (H - h)
Substituting the given values:
V_cone = (1/3) * π * (5.5ft)^2 * (19.4ft - 8.5ft)
Now, we can calculate the volumes:
V_cylinder ≈ 807.78 cubic feet
V_cone ≈ 345.29 cubic feet
Finally, we can find the total volume by adding the volumes of the cylindrical portion and the conical top:
Total Volume = V_cylinder + V_cone
Total Volume ≈ 807.78 cubic feet + 345.29 cubic feet
Total Volume ≈ 1153.07 cubic feet
Therefore, the volume of the storage bin is approximately 1153.07 cubic feet.
To learn more about volume visit:
https://brainly.com/question/14197390
#SPJ11
Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.
Answer:
p-(-Q)
Step-by-step explanation:
Because the thing goes down and i got it correct for that answer your welcome
A multiple of 18 that is also a square numbers
if cos theta =0.8 and sin theta =0.3, then tan(-theta)=
Answer:
We can use the fact that tan(-θ) = -tan(θ) to find the value of tan(-θ) from the given values of cos(θ) and sin(θ). First, we can use the Pythagorean identity to find the value of cos²(θ) + sin²(θ):
cos²(θ) + sin²(θ) = (0.8)² + (0.3)² = 0.64 + 0.09 = 0.73
Now, we can use the fact that cos²(θ) + sin²(θ) = 1 to find the value of cos(-θ) and sin(-θ):
cos(-θ) = cos(θ) = 0.8
sin(-θ) = -sin(θ) = -0.3
Finally, we can use the definition of tangent as the ratio of sine to cosine to find the value of tan(-θ):
tan(-θ) = -tan(θ) = -(sin(θ) / cos(θ)) = -0.3 / 0.8 = -0.375
Therefore, tan(-θ) = -0.375.
Step-by-step explanation:
Which inequality has a solid boundary line when graphed?
Answer:
c
Step-by-step explanation:
c
Suppose a firm can sell it's output at p per unit and that its production function is given by y = AK∝Lβ, where K > 0 is capital input measured in machine-hours, L > 0 is labor input measured in worker-hours and A,∝, ß > 0 are parameters. The firm is perfectly competitive and the factor prices are r per hour and w per hour. (a) Show by partial differentiation that the production function has the property of increasing marginal productivity of capital (if ∝ > 1) and of labor (if ß > 1). Explain the economic significance of this. Does it explain why we normally assume that a and 3 are less than 1?
Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.
The production function has the property of increasing the marginal productivity of capital through Partial Differentiation.To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:
\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)
Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.
Additionally, for labor (L), the fractional subordinate of the generation work is:
\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)
Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity
The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment. This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.
In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.
In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.
In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.
Learn more about the Marginal productivity of capital here:
https://brainly.com/question/18492635
#SPJ4
De un deposito de agua lleno se sacaron 5/8 de su contenido.
despues saco la 6ta parte de lo que quedo. Calcula que parte le queda al deposito si su capacidad era de 80 litros cuantos litros de agua le sacaron?
helppppppppppppppppppppp
Answer:
with what????????????
Answer:
with what
Step-by-step explanation:
Which ones aren’t polynomials
The options that are not polynomials are:
A, B, C, and E.
Which ones aren't polynomials?A general polynomial on a variable x can be written as:
P(x) = aₙ*xⁿ + ... + a₁*x + a₀
The coefficients a are all real numbers, and all the exponents on the variable x must be integer numbers.
So:
We can't have square roots of the variable.
We can't have negative exponents on the variable.
With that in mind, the options that aren't polynomials are:
A: because there is an exponent of 2/3
B: There is an exponent of -3
C: there is an exponent of -2
E: There is an exponent of -2
Learn more about polynomials at:
https://brainly.com/question/4142886
#SPJ1
Please Help Me I will give you 95 points please and the brainliest!!
Answer:
1st one
Per=18.6
area=11.4
2nd one
per=26.2
area= 27
how do you write this equation x+5=2(7+x)
Answer:
x=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
x+5=2(7+x)
Step 1: Simplify both sides of the equation.
x+5=2(7+x)
x+5=(2)(7)+(2)(x)(Distribute)
x+5=14+2x
x+5=2x+14
Step 2: Subtract 2x from both sides.
x+5−2x=2x+14−2x
−x+5=14
Step 3: Subtract 5 from both sides.
−x+5−5=14−5
−x=9
Step 4: Divide both sides by -1.
−x
−1
=
9
−1
x=−9
Answer:
x=−9
HOPE I HELPED :)
-lvr
Why did the French explore and colonize parts of North America?
hs math question geometry
The area for a trapezoid can be estimated using the formula
\(A=\frac{(B+b)}{2}\cdot h\)According to the statement replace the values
\(\begin{gathered} A=\frac{(16+9)}{2}\cdot(14) \\ A=\frac{25}{2}\cdot14 \\ A=175 \end{gathered}\)The area of the trapezoid is 175 square inches.
8. Find the length of the unknown side. Round your
answer to the nearest tenth.
10 ft
A. 13.5 A
B. If
C. 4.4 ft
D. 19 ft
Answer:
the answer is C 4.4 ft hope it helps
Step-by-step explanation:
What is the perimeter of a square if the length of one of the diagonals is 12 cm?
6v2 cm
2412 cm
48 cm
24 cm
Answer:
Step-by-step explanation:
Use Pythagorean theorem to find the length of the square.
Length of the square = a
a² +a² = diagonal²
2a² = 12²
2a² = 144
a² = 144 ÷ 2
a² = 72
\(a =\sqrt{72}\\\\ = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm\)
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
To learn about Domain
brainly.com/question/29452843
#SPJ11
on a map, the distance between jacksonville FL and tallahasse FL is about 5 inches. According to the scale, 1 inch represents 25 miles. About how far apart are these two cities?
What is a possible solution set to x + 7 ≤ -9 ?
Answer:
Step-by-step explanation:
x + 7 ≤ -9 subtract 7 from both sides
x≤-16 this is your answer
If you're plotting it will be (-∞,-16]
Answer:
Step-by-step explanation:
For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:
1. -55 + 7 < -9
(you don't need to solve this equation to tell that it's less than negative nine.)
2. 22 + (-98) + 7 < -9
(this is more complicated, but you can still tell that the sum is less than negative nine.)
So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)
The length of a rectangle is 4 units shorter that half the with .if the length of the rectangle is 18 units,which equation can be used to find w , the width of rectangle
Hey there! I'm happy to help!
Let's call our length and width L and W respectively.
L=1/2W-4
L=18
Since L is equal to 18, we can just replace the L in the first equation with 18 and solve.
1/2W-4=18.
We add 4 to both sides.
1/2W=22
We divide both sides by 1/2.
W=44
Have a wonderful day! :D
Answer:
The answer is a 18= w/2-4
Step-by-step explanation:
hope this helps!!!!!!!!!!