Answer:
y>x
y>2
Step-by-step explanation:
I can't see the 4th option. The set of inequalities that would make the most sense to me would be if option D were:
y>x
y>2
See the attachment.
The darkest area is where both inequalities are valid. The lighter blue and red areas are where only one one the two is valid. I don't see this option, so please check the second inequality in D and see if it matches this set.
pure acid is to be added to a 20% acid solution to obtain 52L of a 40% acid solution.What amounts of each should be used?
Let's define the following variables:
x = the amount of pure acid (100%) in liters
y = the amount of 20% acid in liters
If mixing the two liquids makes 52 L, then we can say that: (equation1)
\(x+y=52\)In addition, 100% of x liters + 20% of y liters will make 52L of 40% solution then, we can also say that: (equation 2)
\(\begin{gathered} 1(x)+0.2(y)=0.4(52) \\ x+0.2y=20.8 \end{gathered}\)Using this two equations, we can solve for the values of x and y using elimination. Here the steps:
1. Subtract equation 2 from equation 1.
\(\begin{gathered} x+y=52 \\ x+0.2y=20.8 \\ \text{Subtract similar terms in the two equations above.} \\ 0.8y=31.2 \end{gathered}\)2. Divide both sides of the equation by 0.8.
\(\begin{gathered} \frac{0.8y}{0.8}=\frac{31.2}{0.8} \\ y=39 \end{gathered}\)Therefore, the value of y = 39. The amount of 20% acid solution added to the mixture is 39 liters.
3. Plug in the value of y in the equation 1 to solve for x.
\(\begin{gathered} x+y=52 \\ x+39=52 \\ x=52-39 \\ x=13 \end{gathered}\)The value of x is 13. Hence, the amount of pure acid that was added to the mixture is 13 liters.
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
Greg had a full carton of eggs. He used 1 over 3 of the eggs for a cake. Then he used 1 egg for an omelet.
helpp please pleaseee?!!!!!!
Answer:
65%Step-by-step explanation:
I guess it is 65 because the table said so
what i 108 x 15 explain your answer
Answer:
1,620
Step-by-step explanation:
you do 108 times 15 and the answer will be 1,620
Answer:
1620
Step-by-step explanation:
number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
Simplify 7 + (−3) pls help its due today afternoon
Answer:
4
Step-by-step explanation:
You can rewrite this equation like this
7-3
which equals 4
3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
To know more about water level visit:
https://brainly.com/question/30015643
#SPJ11
0.2(10−5c)=5c− 16 pls help
Answer:
c=3
Step-by-step explanation:
factor the trinomial. use the steps and factor chart for help. x2 5x 6x2 5x 6 remember the format: ax2 bx c
After factorizing the trinomial x^2 - 5x + 6 the factors are ( x - 3 ) ( x - 2).
Given:
Quadratic equation:
x^2 - 5x +6
= x^2 - 3x - 2x +6
Taking x as common
= x ( x - 3 ) - 2x + 6
Taking -2 as common
= x ( x - 3 ) - 2 ( x - 3 )
Taking (x-3) as common
= ( x - 3 ) ( x - 2 )
Therefore after factorizing the trinomial x^2 - 5x + 6 the factors are
( x - 3 ) ( x - 2).
Learn more about the factor here:
https://brainly.com/question/26923098
#SPJ4
Evaluate: 3x – 2y if x = -9 and y = 2.5
Answer:
-32
Step-by-step explanation:
Suppose f(x)=x^2 +1. Find the graph of 4 f(x).
Graph 1
Graph 2
Answer:
Graph 1.
Step-by-step explanation:
The graph of f(x) will be compressed by a factor 4 and the vertex will be 4 units up from the origin.
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−4,3), B(2,3), and C(2,−1). Point D is the fourth vertex of the rectangle.
What is the distance from point C to point D?
Enter your answer in the box.
A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is
h(t) = -16t^2 + initial height where t is time in seconds and h(t) is height in feet, how
many seconds will it take for the camera to hit the ground?
[?] seconds
9514 1404 393
Answer:
16 seconds
Step-by-step explanation:
You want to find t such that h(t) = 0
h(t) = -16t^2 +4096 . . . equation for height
0 = -16t^2 +4096 . . . . .equation for height = 0
16t^2 = 4096 . . . . add 16t^2
t^2 = 256 . . . . . . . divide by 16
t = 16 . . . . . . . . . . . take the positive square root
It will take 16 seconds for the camera to hit the ground.
Answer: the answer is 16
Step-by-step explanation:
Just did it on acellus
2(x+1)+3x=37 *what is x??
2(x+1)+3x=37
simplifythe left side:
2x +2 +3x = 37
Combine like terms:
5x +2 = 37
Subtract 2 from both sides:
5x = 35
Divide both sides by 5:
x = 7
Answer:
x=7
Step-by-step explanation:
2(x+1)+3x=37
Distribute
2x+2 +3x = 37
Combine like terms
5x+2 = 37
Subtract 2 from each side
5x+2-2=37-2
5x = 35
Divide by 5
5x/5 = 35/5
x=7
What is the solution to the equation 2(x-10) + 4= -6x + 2
Answer:
2(x-10)+4=-6x+2
2x-20+4= -6x+2
2x-16=-6x+2
2x+6x=2+16
8x=18
x=18/8
x=9/4
what is the midpoint ?
Answer:
Step-by-step explanation:
A(-5,-4) B(-3, 3)
(-5 + -3)/2 = -8/2= -4
(-4 + 3)/2 = -1/2
(-4, -1/2) the midpoint
Suppose that the function f is given by f(z, 3) = 4 – 8 – +1. Find the critical points of f. For each critical point of f. determine whether it is a local minimum, local maximum, or a saddle point.
The critical point of f at z = 1 is a local minimum.
To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.
Take the partial derivative of f with respect to z:
∂f/∂z = 8z - 8
Set the derivative equal to zero and solve for z:
8z - 8 = 0
8z = 8
z = 1
The critical point of f occurs when z = 1.
To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).
Taking the second partial derivative of f with respect to z:
∂²f/∂z² = 8
Evaluate the second derivative at the critical point:
∂²f/∂z² at z = 1 is 8.
Analyzing the second derivative:
Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.
Therefore, the critical point of f at z = 1 is a local minimum.
learn more about local minimum here
https://brainly.com/question/29184828
#SPJ11
El cabello corto crece a una tasa aproximada de 2 cm/mes un estudiante se corte el cabello para dejarlo de un largo de uno. centímetro se cortará de nuevo el cabello cuando este mide 3.5 cm cuánto tiempo estás correrá a tu siguiente visita al peluquero
el estudiante necesitará esperar aproximadamente 1.25 meses o alrededor de 1 mes y 8 días antes de su siguiente visita al peluquero.
Si el cabello corto crece a una tasa aproximada de 2 cm por mes, y el estudiante se cortó el cabello a un largo de 1 centímetro, podemos calcular cuánto tiempo llevará que el cabello crezca hasta los 3.5 centímetros.
La diferencia de longitud entre el largo actual del cabello y el largo deseado es de 3.5 cm - 1 cm = 2.5 centímetros.
Dado que el cabello crece a una tasa de 2 cm por mes, el tiempo requerido para que crezca 2.5 centímetros sería:
Tiempo = Longitud / Tasa de crecimiento
Tiempo = 2.5 cm / 2 cm/mes
Realizando la división, obtenemos:
Tiempo = 1.25 meses
Por lo tanto, el estudiante necesitará esperar aproximadamente 1.25 meses o alrededor de 1 mes y 8 días antes de su siguiente visita al peluquero.
For more such questions on esperar,click on
https://brainly.com/question/17382118
#SPJ8
An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116
The numerator and denominator is D. 3 and 116.
What is numerator and denominator?In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.
For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:
- Numerator degrees of freedom: k-1
- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)
Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:
- Numerator degrees of freedom: 4-1 = 3
- Denominator degrees of freedom: 120-4 = 116
So the answer is D. 3 and 116.
Learn more about ANOVA procedure on:
https://brainly.com/question/14984889
#SPJ4
in a survey, 20 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $32 and standard deviation of $2. find the margin of error at a 98% confidence level.
At a 98% confidence level, the margin of error is 0.8765.
Because the method is based on probability, the confidence interval has a margin of error.
A confidence interval's margin of error again for the population mean is determined by:
ME = \(Z_{\alpha /2}\) × \(s_{x}\)
The data mentioned in the question,
n = 20
s = 2
1 - \(\alpha\) = 0.98
The following equation may be used to calculate the standard error:
\(s_{x}\) = s ÷ √n
\(s_{x}\) = 2 ÷ √20
\(s_{x}\) = 0.4472
Now, the critical value \(Z_{\alpha /2}\) is found using MS Excel,
\(Z_{\alpha /2}\) = NORMSINV(\(\alpha /2\))
\(Z_{\alpha /2}\) = NORMSINV(0.9750)
\(Z_{\alpha /2}\) = 1.9599639845
Finally, the confidence interval's margin of error is:
ME = \(Z_{\alpha /2}\) × \(s_{x}\)
ME = 1.96 × 0.4472
ME = 0.8765
Learn more about the probability at
https://brainly.com/question/12888830?referrer=searchResults
#SPJ4
please help in this one
Answer: \(49.79\ m\)
Step-by-step explanation:
Given
The volume of the spherical solid is \(V=123,456\ m^3\)
It is melted to form a solid cube
Suppose the edge length of the cube is \(a\)
The volume of the sphere is \(\frac{4}{3}\pi r^3\)
\(\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m\)
HELP PLZ!!!
A chord is a diameter.
-always
-sometimes
-never
Answer:
always hope this helps :)
Step-by-step explanation:
Step-by-step explanation:
sometimes would be your answer<3
The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
To know more about depreciation, refer here:
https://brainly.com/question/30531944
#SPJ11
The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
learn more about gain here:
https://brainly.com/question/31218742
#SPJ11
What should be subtracted from the following expressions to make perfect square ?
: Question number 1 =
z⁴+z⁴
Answer:
i dont know the answer i just live and only socialize thru brainly and im 67 years old
Step-by-step explanation:
i dont know i dont have a phone i only have a 1972 computer
HELP ASAP RIGHT NOWWWW!!!
Answer:
168 minutes or 2 hrs. 48 minutes
Step-by-step explanation:
The first part of the problem is just stating that x and y are proportional. This means that Beau goes a certain amount of miles for every minute. One way to solve this problem is to find out how much the constant of proportionality is (finding out how long 1 mile would take), and then multiplying that by 8. The other but easier way (according to me) is to make an equation. The proportional equation you have to make is:
5 miles/ 105 minute
8 miles/ x minutes
In this situation, x is the unknown amount of minutes it would take Beau to ride is his canoe for 8 miles.
Then you cross multiply, getting 5x = 105*8.
Next, you multiply 105 by 8 to get 840.
Lastly, divide that by 5 to get 168 minutes.
Here are 2 handy dandy methods to solve proportionality-typed problems.
Answer:
2
Step-by-step explanation:
The principal of an elementary school wanted to see if there are differences in the abilities of first, second, and third graders to render a three-dimensional image into a two-dimensional drawing (as judged by trained coders). All students were attending the same school, and data were collected during the same semester. Independent samples t test O ANOVA Paired samples t test Correlation
The appropriate statistical test that the principal of an elementary school should use to compare the abilities of first, second, and third graders to render a three-dimensional image into a two-dimensional drawing (as judged by trained coders) is Analysis of Variance (ANOVA).
The statistical test that the principal of an elementary school should use to compare the abilities of first, second, and third graders to render a three-dimensional image into a two-dimensional drawing (as judged by trained coders) is Analysis of Variance (ANOVA).
What is Analysis of Variance (ANOVA)?
Analysis of Variance (ANOVA) is a statistical technique used to determine if there are any significant differences between two or more means. It accomplishes this by evaluating the variance of each group of data and comparing them to the variance of the overall data set.
In this case, the principal wants to compare the abilities of first, second, and third graders. Therefore, an ANOVA would be the most appropriate statistical test to determine if there are any significant differences in the abilities of the three groups of students.
In summary, the appropriate statistical test that the principal of an elementary school should use to compare the abilities of first, second, and third graders to render a three-dimensional image into a two-dimensional drawing (as judged by trained coders) is Analysis of Variance (ANOVA).
learn more about Analysis of Variance here:
https://brainly.com/question/32648429
#SPJ11
Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
Two children at a time can play pairball. For 90 minutes, with only two children playing at one time, five children take turns so that each on plays the same amount of time. The number of minutes each child plays is
each child plays for 45 minutes.
To determine the number of minutes each child plays, we can divide the total playing time (90 minutes) by the total number of children (5). Since only two children can play at a time, we need to divide the playing time equally among the pairs of children.
Let's calculate:
Number of pairs of children = Total number of children / 2 = 5 / 2 = 2 pairs
Minutes each child plays = Total playing time / Number of pairs of children
Minutes each child plays = 90 minutes / 2 pairs = 45 minutes
To know more about number visit;
brainly.com/question/3589540
#SPJ11
HELP ME PLS ON THIS QUESTIONNN!!!!!!!!!!!!!
Step-by-step explanation:
area of trapezoid = 1/2 × (a+b) h
where a = long base
b = short base
h = height
given that, a = 8, b = 5, a of trapezoid = 104:
area of trapezoid = 1/2 × ( 8+5) h
104 = 13/2 h
104 * 2 = 13 h
13 h = 208
h = 208 / 13
h = 16.0 ft.
hope this helps you!
-s.