Answer:
Density = 10,490 g/m³
Step-by-step explanation:
Density = mass ÷ volume
here mass = 73,430 g
volume = 7 m³
density = 73,430 ÷ 7
= 10490 g/m³
Density = 10,490 g/m³
which of the following equations represents the graph? pls help!
Answer:
H
Step-by-step explanation:
The answers simplify to:
F) y=2.5x+5
G) y= -5/2x+5
H) y=5/2x+5
J) y= 5/2x-5
Use rise/run to find slope
5/2=slope
y-intercept= 5
Your answer is H
Question 1 -of 15 Step 1 of 3No Time LimitSolve the system of two linear inequalities graphically.{ x < 4x= -2Step 1 of 3: Graph the solution set of the first linear inequality,Answer 2 Points5 KeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever avalue is updated. The regions will be added once the line is drawn.Choose the type of boundary line:Dashed -O Solid (-) O
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x < 4
x ≥ - 2
Step 02:
system of linear inequalities:
x < 4:
x = 4 ===> vertical line
x ≥ - 2:
x = - 2 ===> vertical line
graph:
The answer is:
Unbounded
Nigel owed his friend $20. He paid his friend half of the debt, but later he had to borrow an additional $3. Which of these expressions represents Nigel's debt to his friend?
Answer:
Where are the answers
Step-by-step explanation:
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as \(L \ne W\)
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make \(L \ne W\) to have a nonsquare rectangle.
H=p√m2+n find the value of h when p=3,m=6,n=20
Answer: h = 9
Step-by-step explanation:
To find the value of h when p=3, m=6, and n=20, we can substitute these values into the given formula:
H = p√(m^2 + n)
H = 3√(6^2 + 20)
H = 3√(36 + 20)
H = 3√56
H = 3 × 2√14
H = 6√14
Therefore, the value of h is 6√14, which is approximately equal to 9 when rounded to the nearest integer.
The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic O combinations O mutations O fulminations O corrections.
The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.
What is mutation ?An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.
Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.
Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.
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Consider a sequence whose first five terms are -2, 1, 6, 13, and 22.
Select the function with domain n = {1,2,3,4,5} that defines this sequence.
The solution is: a) 1,2,6,24,120 are the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
Here, we have,
The formula for the nth term of the sequence is expressed as
n=(n+1)!/n+1
For the first term, n = 1.
Therefore,
(1+1)!/(1+1)
= 2!/2
= (2×1)/2
= 1
For the second tern, n = 2.
Therefore,
(2+1)!/2+1
= 3! /3
= (3×2×1)/3
= 6/3
= 2
For the third term, n = 3,
therefore
(3+1)!/3+1
= 4!/4
=(4×3×2×1)/4
= 6
For the fourth term, n = 4.
Therefore
(4+1)!/4+1
= 5!/5
= (5×4×3×2×1)/5
= 24
For the fifth term, n = 5.
Therefore
(5+1)!/5+1
= 6!/6
= 6× 5×4×3×2×1)/6
= 120
Hence, The solution is: a) 1,2,6,24,120 are the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
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complete question:
Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.
a) 1,2,6,24,120
b) 1,2,3,4,5
c) 1,1,3,12,60
d) 1,1,1,1,1
The table shows the linear relationship between the number of hours Francis worked, x, and
the amount of money Francis earned, y.
Answer: 14 per hour
Step-by-step explanation: divide amount earned by hours worked
find the slope
help with this please it’s due soon :)
Find the equation of a line with a slope of 1 and passing through (11;3)
Step-by-step explanation:
slope(m)=(Y-Y1)/X-X1
here,
M=1
(X1,Y1)=(11,3)
NOW,
m=(Y-Y1)/(X-X1)
1=(Y-3)/(X-11)
1×(X-11)=Y-3
X-11=Y-3
X-Y-11+3=0
X-Y-8=0
X-Y=0 is the required equation.
TRUE/FALSE. post-implementation evaluation primarily is concerned with assessing the quality of a new system.
True. Post-implementation evaluation refers to the process of evaluating the performance and effectiveness of a new system after it has been implemented.
It involves assessing the extent to which the system meets the intended objectives, as well as its overall quality and impact on the organization. The evaluation can be carried out through various methods such as user feedback, performance metrics, and system testing.
Therefore, post-implementation evaluation is primarily concerned with assessing the quality of a new system and its ability to deliver the expected benefits to the organization.
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Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?
Answer:
15*4=60;60*3.5=210
Step-by-step explanation:
60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets
Answer:
answer is 1/4 × 3 1/2 =
3 1/8
Evaluate 6 + x when x = 3.
Answer:
6 + x = 9
Step-by-step explanation:
We know that x = 3, and that we need to add x (which equals 3) to 6.
So, all we need to do is add 6 + 3.
6 + x = 9
We know this because for the expression 6 + x, we replace x with it's given value, which is 3.
⬇
6 + 3 = 9
3 (6x - 1) = 11x - 45
Answer:
x= -6
Step-by-step explanation:
3(6x-1)=11x-45
distribute 3
18x-3=11x-45
7x=-42
x= -6
which of the following conditions must be met to conduct a two-proportion significance test? the populations are independent. the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population. the sample sizes are greater than 30.
The following conditions must be met to conduct a two-proportion significance test:
the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.
To conduct the two-proportion significance test, the following conditions must be met:
Populations must be independent.
Sample sizes are greater than 30.
The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.
The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.
In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
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Express the decimal 0.32 as a fraction
Answer:
8/25 simplified
Step-by-step explanation:
Evaluate 3x² - 1 when x = 2.
OA. 35
OB. 3
OC. 5
OD.11
Can a triangle be possible with the sides 3cm 4cm 5cm?.
Answer:
Yes, the measurements 3cm, 4cm and 5cm are possible to create a triangle!
Step-by-step explanation:
QUESTION 1 Parabola - The graph of the form f(x) = a(x + p)² +q 1.1 Draw the graphs of the equations below according to the Graph Papers indicated: First Graph Paper Original graph (M): y=x² Graph 1: y = 2x² Graph 2: y = x² Graph 3: y=-2x² Second Graph Paper Original graph (M): y=x² Graph 1: y=x²-4 Graph 2: y=x²+2 Graph 3: y = 2x² - 4 Graph 4: y = x² + 2
The graphs are plotted on two graph papers and attached
How to analyze the graphsFirst Graph Paper
The original graph as in the problem is y=x²
Graph 1: y = 2x²
this is a graph of vertical stretch of 2
Graph 2: y = x²
same as the original graph
Graph 3: y=-2x²
this is inverted form of the curve in graph 1
Second Graph Paper
Original graph (M): y=x²
Graph 1: y=x²- 4
this is a graph that translates 4 units down
Graph 2: y=x²+2
this is a graph that translates 2 units up
Graph 3: y = 2x² - 4
this is a graph that translates 4 units down and vertical stretch of 2
Graph 4: y = x² + 2
this is a graph that translates 2 units up
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Plz, help again! & can you explain how to do it
Answer:
6
Step-by-step explanation:
since triangle RSQ is congruent to triangle ABC,
\( \frac{10}{4} = \frac{15}{m} = \frac{5}{2} \)
And therefore
\(5m = 30\)
(cross multiply)
And m=6
For the following exercises, sketch the curves below by eliminating the parameter t. Give the orientation of the curve. 1. x=t2+2t,y=t+1 2. x=cos(t),y=sin(t),(0,2π] 3. x=2t+4,y=t−1 4. x=3−t,y=2t−3,1.5≤t≤3 For the following exercises, eliminate the parameter and sketch the graphs. 5. x=2t2,y=t4+1
y =\((x/2)^2 + 1 or y = (x/2)^2 + 1\)
The curve represents a parabola opening upwards. It is symmetric about the y-axis.
Let's eliminate the parameter t and sketch the curves for each exercise:
1. x = t^2 + 2t, y = t + 1
To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:
t^2 + 2t = x
t = -1 ± √(x + 1)
Substituting the expression for t into the equation y = t + 1, we get:
y = (-1 ± √(x + 1)) + 1
y = -√(x + 1) or y = √(x + 1)
The curve represents two branches of a parabola opening upwards. It is symmetric about the y-axis.
2. x = cos(t), y = sin(t), (0, 2π]
Eliminating the parameter t, we obtain:
\(x^2 + y^2 = cos^2(t) + sin^2(t) \\= 1\)
The curve represents a circle centered at the origin with a radius of 1. It covers a full revolution (360 degrees or 2π) in the counterclockwise direction.
3. x = 2t + 4, y = t - 1
By eliminating the parameter t, we have:
t = (x - 4) / 2
Substituting this expression into the equation for y, we get:
y = ((x - 4) / 2) - 1
y = (x - 6) / 2
The curve represents a line with a slope of 1/2 and a y-intercept of -3. It is inclined upwards from left to right.
4. x = 3 - t, y = 2t - 3, 1.5 ≤ t ≤ 3
Eliminating the parameter t, we have:
t = 3 - x
Substituting this expression into the equation for y, we get:
y = 2(3 - x) - 3
y = 6 - 2x - 3
y = -2x + 3
The curve represents a line with a slope of -2 and a y-intercept of 3. It is inclined downwards from left to right.
\(5. x = 2t^2, y = t^4 + 1\)
To eliminate the parameter t, we can solve the first equation for t and substitute it into the second equation:
t^2 = x/2
t = ±√(x/2)
Substituting the expressions for t into the equation y = t^4 + 1, we get:
y = (√(\(x/2))^4\) + 1 or y = (-√\((x/2))^4\) + 1
\(y = (x/2)^2 + 1 or y = (x/2)^2 + 1\)
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mateo has drawn a line to represent the parallel cross-section of the triangular prism. is he correct? explain. riangular prism lying on a rectangular face and a line drawn along the length of a rectangular face
Based on the information provided, Mateo has drawn a line to represent the parallel cross-section of the triangular prism. Is he correct? Yes, he is correct. Here's an explanation:
A triangular prism has two triangular bases and three rectangular faces. When a triangular prism is lying on a rectangular face, it means that one of its rectangular faces is on the bottom. If Mateo draws a line along the length of this rectangular face, he is creating a parallel cross-section of the triangular prism.
This is because the line he drew is parallel to the triangular base of the prism, and the two bases are also parallel to each other. A parallel cross-section is created when a plane cuts through a solid parallel to its base, and in this case, Mateo's line fulfills this condition.
Therefore, Mateo is correct in representing the parallel cross-section of the triangular prism by drawing a line along the length of a rectangular face.
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2 1/2 divided by 4 Anwser quick please
Answer:
5/8
Step-by-step explanation:
We can solve this by turning 2 1/2 into a decimal.
2 1/2 = 2.5
2.5 ÷ 4 = 0.625
0.625 = 5/8
2 1/2 divided by 4 is 5/8
38. Which ordered pair is a solution to the
equation y = 2 - x?
a) (5,3)
b) (8,10)
c) (-1,1)
d) (-5,7)
Answer:
d
Step-by-step explanation:
y=2-x
because
7=2-(-5)
7=7
one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches. what is the area of the parallelogram? express your answer in simplest radical form.
The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².
What is parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.
Here,
A parallelogram has adjacent angles that add up to 180 degrees.
Since one angle of parallelogram is 120°.
240+2x=360
2x=120
x=60
The other will be 60°
The area of parallelogram= lh
l=15 inch
h=b(sin 60°)
=8*√3/2
h=4√3 inch
area of parallelogram= 15*4√3
= 60√3 inch²
The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."
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What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
-10 < x - 9
Reverse the equation to get x on the left side"
x-9>-10
Add 9 to both sides:
X >-1
Answer: x > -1
I need help with this question.
Answer:
72
Step-by-step explanation:
30/x = 25/100
cross multiply
3,000=25x
3,000/25=25x/25
3,000/25=120
60% of 120 = 60/100*120
The standard deviation of a point estimator is the _____. a. standard error b. sample statistic c. point estimate d. sampling err
The standard deviation of a point estimator is the standard error.
"The point estimate is used to estimate the exact value of any parameter. For example, an internet poll says that 45% of Americans are concerned for the environment."
"Point estimates is a good measure but the problem with this parameter is that the sample of the statistics may vary so that there is a chance of sampling error."
"As the researcher is unable to presume that closeness of the sample statistics parameter with respect to the parameter so researcher refers to calculate the standard error instead of point estimate."
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87 87 suppose that Σ ai = -12 and Σ b; = -1. Compute the sum. i=1 i=1 87 Σ (19a. i=1 18b;)
Given: Σai = -12 and
Σbi = -1To find:
The value of 87
Σ(19ai - 18bi)
Formula used:
Σ(19ai - 18bi)
= 19 Σai - 18 Σbi Calculation:
Σai = -12
Σbi = -187 Σ(19ai - 18bi)
= 19 Σai - 18
Σbi = 19(-12) - 18(-1)
= -228 + 18 = -210
Hence, the value of 87 Σ(19ai - 18bi) is -210.
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Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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